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<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"/><meta name="viewport" content="width=device-width, initial-scale=0.8"/><title>4.15&nbsp;Hash Tables</title><link rel="stylesheet" type="text/css" href="../scribble.css" title="default"/><link rel="stylesheet" type="text/css" href="extras.css" title="default"/><link rel="stylesheet" type="text/css" href="icons.css" title="default"/><link rel="stylesheet" type="text/css" href="../racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-style.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../doc-site.css" title="default"/><script type="text/javascript" src="../scribble-common.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../doc-site.js"></script><script type="text/javascript" src="../local-redirect/local-redirect.js"></script><script type="text/javascript" src="../local-redirect/local-user-redirect.js"></script><!--[if IE 6]><style type="text/css">.SIEHidden { overflow: hidden; }</style><![endif]--></head><body id="doc-racket-lang-org"><div class="tocset"><div class="tocview"><div class="tocviewlist tocviewlisttopspace"><div class="tocviewtitle"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,&quot;tocview_0&quot;);">&#9658;</a></td><td></td><td><a href="index.html" class="tocviewlink" data-pltdoc="x">The Racket Reference</a></td></tr></table></div><div class="tocviewsublisttop" style="display: none;" id="tocview_0"><table cellspacing="0" cellpadding="0"><tr><td align="right">1&nbsp;</td><td><a href="model.html" class="tocviewlink" data-pltdoc="x">Language Model</a></td></tr><tr><td align="right">2&nbsp;</td><td><a href="notation.html" class="tocviewlink" data-pltdoc="x">Notation for Documentation</a></td></tr><tr><td align="right">3&nbsp;</td><td><a href="syntax.html" class="tocviewlink" data-pltdoc="x">Syntactic Forms</a></td></tr><tr><td align="right">4&nbsp;</td><td><a href="data.html" class="tocviewselflink" data-pltdoc="x">Datatypes</a></td></tr><tr><td align="right">5&nbsp;</td><td><a href="structures.html" class="tocviewlink" data-pltdoc="x">Structures</a></td></tr><tr><td align="right">6&nbsp;</td><td><a href="mzlib_class.html" class="tocviewlink" data-pltdoc="x">Classes and Objects</a></td></tr><tr><td align="right">7&nbsp;</td><td><a href="mzlib_unit.html" class="tocviewlink" data-pltdoc="x">Units</a></td></tr><tr><td align="right">8&nbsp;</td><td><a href="contracts.html" class="tocviewlink" data-pltdoc="x">Contracts</a></td></tr><tr><td align="right">9&nbsp;</td><td><a href="match.html" class="tocviewlink" data-pltdoc="x">Pattern Matching</a></td></tr><tr><td align="right">10&nbsp;</td><td><a href="control.html" class="tocviewlink" data-pltdoc="x">Control Flow</a></td></tr><tr><td align="right">11&nbsp;</td><td><a href="concurrency.html" class="tocviewlink" data-pltdoc="x">Concurrency and Parallelism</a></td></tr><tr><td align="right">12&nbsp;</td><td><a href="Macros.html" class="tocviewlink" data-pltdoc="x">Macros</a></td></tr><tr><td align="right">13&nbsp;</td><td><a href="input-and-output.html" class="tocviewlink" data-pltdoc="x">Input and Output</a></td></tr><tr><td align="right">14&nbsp;</td><td><a href="security.html" class="tocviewlink" data-pltdoc="x">Reflection and Security</a></td></tr><tr><td align="right">15&nbsp;</td><td><a href="os.html" class="tocviewlink" data-pltdoc="x">Operating System</a></td></tr><tr><td align="right">16&nbsp;</td><td><a href="memory.html" class="tocviewlink" data-pltdoc="x">Memory Management</a></td></tr><tr><td align="right">17&nbsp;</td><td><a href="unsafe.html" class="tocviewlink" data-pltdoc="x">Unsafe Operations</a></td></tr><tr><td align="right">18&nbsp;</td><td><a href="running.html" class="tocviewlink" data-pltdoc="x">Running Racket</a></td></tr><tr><td align="right"></td><td><a href="doc-bibliography.html" class="tocviewlink" data-pltdoc="x">Bibliography</a></td></tr><tr><td align="right"></td><td><a href="doc-index.html" class="tocviewlink" data-pltdoc="x">Index</a></td></tr></table></div></div><div class="tocviewlist"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,&quot;tocview_1&quot;);">&#9660;</a></td><td>4&nbsp;</td><td><a href="data.html" class="tocviewlink" data-pltdoc="x">Datatypes</a></td></tr></table><div class="tocviewsublist" style="display: block;" id="tocview_1"><table cellspacing="0" cellpadding="0"><tr><td align="right">4.1&nbsp;</td><td><a href="Equality.html" class="tocviewlink" data-pltdoc="x">Equality</a></td></tr><tr><td align="right">4.2&nbsp;</td><td><a href="booleans.html" class="tocviewlink" data-pltdoc="x">Booleans</a></td></tr><tr><td align="right">4.3&nbsp;</td><td><a href="numbers.html" class="tocviewlink" data-pltdoc="x">Numbers</a></td></tr><tr><td align="right">4.4&nbsp;</td><td><a href="strings.html" class="tocviewlink" data-pltdoc="x">Strings</a></td></tr><tr><td align="right">4.5&nbsp;</td><td><a href="bytestrings.html" class="tocviewlink" data-pltdoc="x">Byte Strings</a></td></tr><tr><td align="right">4.6&nbsp;</td><td><a href="characters.html" class="tocviewlink" data-pltdoc="x">Characters</a></td></tr><tr><td align="right">4.7&nbsp;</td><td><a href="symbols.html" class="tocviewlink" data-pltdoc="x">Symbols</a></td></tr><tr><td align="right">4.8&nbsp;</td><td><a href="regexp.html" class="tocviewlink" data-pltdoc="x">Regular Expressions</a></td></tr><tr><td align="right">4.9&nbsp;</td><td><a href="keywords.html" class="tocviewlink" data-pltdoc="x">Keywords</a></td></tr><tr><td align="right">4.10&nbsp;</td><td><a href="pairs.html" class="tocviewlink" data-pltdoc="x">Pairs and Lists</a></td></tr><tr><td align="right">4.11&nbsp;</td><td><a href="mpairs.html" class="tocviewlink" data-pltdoc="x">Mutable Pairs and Lists</a></td></tr><tr><td align="right">4.12&nbsp;</td><td><a href="vectors.html" class="tocviewlink" data-pltdoc="x">Vectors</a></td></tr><tr><td align="right">4.13&nbsp;</td><td><a href="stencil_vectors.html" class="tocviewlink" data-pltdoc="x">Stencil Vectors</a></td></tr><tr><td align="right">4.14&nbsp;</td><td><a href="boxes.html" class="tocviewlink" data-pltdoc="x">Boxes</a></td></tr><tr><td align="right">4.15&nbsp;</td><td><a href="hashtables.html" class="tocviewselflink" data-pltdoc="x">Hash Tables</a></td></tr><tr><td align="right">4.16&nbsp;</td><td><a href="sequences_streams.html" class="tocviewlink" data-pltdoc="x">Sequences and Streams</a></td></tr><tr><td align="right">4.17&nbsp;</td><td><a href="dicts.html" class="tocviewlink" data-pltdoc="x">Dictionaries</a></td></tr><tr><td align="right">4.18&nbsp;</td><td><a href="sets.html" class="tocviewlink" data-pltdoc="x">Sets</a></td></tr><tr><td align="right">4.19&nbsp;</td><td><a href="procedures.html" class="tocviewlink" data-pltdoc="x">Procedures</a></td></tr><tr><td align="right">4.20&nbsp;</td><td><a href="void.html" class="tocviewlink" data-pltdoc="x">Void</a></td></tr><tr><td align="right">4.21&nbsp;</td><td><a href="undefined.html" class="tocviewlink" data-pltdoc="x">Undefined</a></td></tr></table></div></div><div class="tocviewlist"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,&quot;tocview_2&quot;);">&#9658;</a></td><td>4.15&nbsp;</td><td><a href="hashtables.html" class="tocviewselflink" data-pltdoc="x">Hash Tables</a></td></tr></table><div class="tocviewsublistbottom" style="display: none;" id="tocview_2"><table cellspacing="0" cellpadding="0"><tr><td align="right">4.15.1&nbsp;</td><td><a href="hashtables.html#%28part._.Additional_.Hash_.Table_.Functions%29" class="tocviewlink" data-pltdoc="x">Additional Hash Table Functions</a></td></tr></table></div></div></div><div class="tocsub"><div class="tocsubtitle">On this page:</div><table class="tocsublist" cellspacing="0"><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>equal?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal-always~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>equal-<wbr></wbr>always?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eqv~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>eqv?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eq~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>eq?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>strong?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-weak~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>weak?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ephemeron~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>ephemeron?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hashalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hashalw</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hasheq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hasheq</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hasheqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hasheqv</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>hash</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hashalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>hashalw</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>hasheqv</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>hasheq</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hash%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>weak-<wbr></wbr>hash</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hashalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>weak-<wbr></wbr>hashalw</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hasheqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>weak-<wbr></wbr>hasheqv</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hasheq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>weak-<wbr></wbr>hasheq</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hash%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>ephemeron-<wbr></wbr>hash</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hashalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>ephemeron-<wbr></wbr>hashalw</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hasheqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>ephemeron-<wbr></wbr>hasheqv</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hasheq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>ephemeron-<wbr></wbr>hasheq</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>immutable-<wbr></wbr>hash</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hashalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>immutable-<wbr></wbr>hashalw</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hasheqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>immutable-<wbr></wbr>hasheqv</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hasheq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>immutable-<wbr></wbr>hasheq</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>set!</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-set%2A%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>set*!</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-set%2A%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>set*</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>ref</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>ref-<wbr></wbr>key</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-ref%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>ref!</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-has-key~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>has-<wbr></wbr>key?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>update!</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>update</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-remove%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>remove!</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-remove%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>remove</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-clear%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>clear!</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-clear%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>clear</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-copy-clear%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>copy-<wbr></wbr>clear</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-map%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>map</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-map%2Fcopy%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>map/<span class="mywbr"> &nbsp;</span>copy</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-keys%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>keys</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-values%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>values</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-~3elist%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>&gt;list</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-keys-subset~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>keys-<wbr></wbr>subset?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-for-each%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>for-<wbr></wbr>each</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-count%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>count</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-empty~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>empty?</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-first%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>iterate-<wbr></wbr>first</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-next%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>iterate-<wbr></wbr>next</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-key%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>iterate-<wbr></wbr>key</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-value%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>iterate-<wbr></wbr>value</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-pair%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>iterate-<wbr></wbr>pair</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-key%2Bvalue%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>iterate-<wbr></wbr>key+<span class="mywbr"> &nbsp;</span>value</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-copy%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>copy</span></span></a></td></tr><tr><td><span class="tocsublinknumber">4.15.1<tt>&nbsp;</tt></span><a href="hashtables.html#%28part._.Additional_.Hash_.Table_.Functions%29" class="tocsubseclink" data-pltdoc="x">Additional Hash Table Functions</a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-union%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>union</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-union%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>union!</span></span></a></td></tr><tr><td><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-intersect%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">hash-<wbr></wbr>intersect</span></span></a></td></tr></table></div></div><div class="maincolumn"><div class="main"><div class="navsettop"><span class="navleft"><form class="searchform"><input class="searchbox" id="searchbox" type="text" tabindex="1" placeholder="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, &quot;8.6&quot;, &quot;../&quot;);"/></form>&nbsp;&nbsp;<a href="https://docs.racket-lang.org/index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot(&quot;8.6&quot;);">top</a><span class="tocsettoggle">&nbsp;&nbsp;<a href="javascript:void(0);" title="show/hide table of contents" onclick="TocsetToggle();">contents</a></span></span><span class="navright">&nbsp;&nbsp;<a href="boxes.html" title="backward to &quot;4.14 Boxes&quot;" data-pltdoc="x">&larr; prev</a>&nbsp;&nbsp;<a href="data.html" title="up to &quot;4 Datatypes&quot;" data-pltdoc="x">up</a>&nbsp;&nbsp;<a href="sequences_streams.html" title="forward to &quot;4.16 Sequences and Streams&quot;" data-pltdoc="x">next &rarr;</a></span>&nbsp;</div><h4 x-source-module="(lib &quot;scribblings/reference/reference.scrbl&quot;)" x-source-pkg="racket-doc" x-part-tag="&quot;hashtables&quot;">4.15<tt>&nbsp;</tt><a name="(part._hashtables)"></a>Hash Tables</h4><blockquote class="refpara"><blockquote class="refcolumn"><blockquote class="refcontent"><p><span class="imageleft"><img src="finger.png" alt="+" width="24" height="24"/></span><a href="https://download.racket-lang.org/releases/8.6/doc/local-redirect/index.html?doc=guide&amp;rel=hash-tables.html&amp;version=8.6" class="Sq" data-pltdoc="x">Hash Tables</a> in <a href="https://download.racket-lang.org/releases/8.6/doc/local-redirect/index.html?doc=guide&amp;rel=index.html&amp;version=8.6" class="Sq" data-pltdoc="x">The Racket Guide</a> introduces hash tables.</p></blockquote></blockquote></blockquote><p>A <a name="(tech._hash._table)"></a><span style="font-style: italic">hash table</span> (or simply <a name="(tech._hash)"></a><span style="font-style: italic">hash</span>) maps each of its
keys to a single value. For a given hash table, keys are equivalent
via <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>, or
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>, and keys are retained either strongly, weakly
(see <a href="weakbox.html" data-pltdoc="x">Weak Boxes</a>), or like <a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemerons</span></a>.
A hash table is also either mutable or immutable.
Immutable hash tables support effectively constant-time access and
update, just like mutable hash tables; the constant on immutable
operations is usually larger, but the functional nature of immutable
hash tables can pay off in certain algorithms. Use <span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span>
to check whether a hash table is immutable.</p><blockquote class="refpara"><blockquote class="refcolumn"><blockquote class="refcontent"><p>Immutable hash tables actually provide <span style="font-style: italic">O</span>(<span style="font-style: italic">log N</span>)<span style="font-style: italic"></span>
access and update. Since <span style="font-style: italic">N</span> is limited by the address space so
that <span style="font-style: italic">log N</span> is limited to less than 30 or 62 (depending on the
platform), <span style="font-style: italic">log N</span> can be treated reasonably as a constant.</p></blockquote></blockquote></blockquote><p>For <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>-based hashing, the built-in hash functions on
<a href="strings.html#%28tech._string%29" class="techoutside" data-pltdoc="x"><span class="techinside">strings</span></a>, <a href="pairs.html#%28tech._pair%29" class="techoutside" data-pltdoc="x"><span class="techinside">pairs</span></a>, <a href="pairs.html#%28tech._list%29" class="techoutside" data-pltdoc="x"><span class="techinside">lists</span></a>, <a href="vectors.html#%28tech._vector%29" class="techoutside" data-pltdoc="x"><span class="techinside">vectors</span></a>,
<a href="structures.html#%28tech._prefab%29" class="techoutside" data-pltdoc="x"><span class="techinside">prefab</span></a> or transparent <a href="structures.html#%28tech._structure%29" class="techoutside" data-pltdoc="x"><span class="techinside">structures</span></a>, etc<span class="Sendabbrev">.</span>, take time
proportional to the size of the value. The hash code for a compound
data structure, such as a list or vector, depends on hashing each item
of the container, but the depth of such recursive hashing is
limited (to avoid potential problems with cyclic data). For a
non-<a href="pairs.html#%28tech._list%29" class="techoutside" data-pltdoc="x"><span class="techinside">list</span></a> <a href="pairs.html#%28tech._pair%29" class="techoutside" data-pltdoc="x"><span class="techinside">pair</span></a>, both <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._car%29%29" class="RktValLink" data-pltdoc="x">car</a></span> and <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cdr%29%29" class="RktValLink" data-pltdoc="x">cdr</a></span>
hashing is treated as a deeper hash, but the <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cdr%29%29" class="RktValLink" data-pltdoc="x">cdr</a></span> of a
<a href="pairs.html#%28tech._list%29" class="techoutside" data-pltdoc="x"><span class="techinside">list</span></a> is treated as having the same hashing depth as the list.</p><p>A hash table can be used as a two-valued <a href="sequences.html#%28tech._sequence%29" class="techoutside" data-pltdoc="x"><span class="techinside">sequence</span></a> (see
<a href="sequences.html" data-pltdoc="x">Sequences</a>). The keys and values of the hash table serve as
elements of the sequence (i.e., each element is a key and its
associated value). If a mapping is added to or removed from the hash
table during iteration, then an iteration step may fail with
<span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">exn:fail:contract</a></span>, or the iteration may skip or duplicate
keys and values. See also <span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._in-hash%29%29" class="RktValLink" data-pltdoc="x">in-hash</a></span>, <span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._in-hash-keys%29%29" class="RktValLink" data-pltdoc="x">in-hash-keys</a></span>,
<span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._in-hash-values%29%29" class="RktValLink" data-pltdoc="x">in-hash-values</a></span>, and <span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._in-hash-pairs%29%29" class="RktValLink" data-pltdoc="x">in-hash-pairs</a></span>.</p><p>Two hash tables cannot be <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span> unless they have the same
mutability, use the same key-comparison procedure (<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>,
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>, or <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>), both hold
keys strongly, weakly, or like <a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemerons</span></a>.
Empty immutable hash tables are <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>
when they are <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>.</p><p class="SHistory">Changed in version 7.2.0.9 of package <span class="stt">base</span>: Made empty immutable hash tables
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span> when they are
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>.</p><p><a name="(elem._(caveat._concurrency))"></a><span style="font-weight: bold">Caveats concerning concurrent
modification:</span> A mutable hash table can be manipulated with
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValLink" data-pltdoc="x">hash-ref</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="RktValLink" data-pltdoc="x">hash-set!</a></span>, and <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-remove%21%29%29" class="RktValLink" data-pltdoc="x">hash-remove!</a></span>
concurrently by multiple threads, and the operations are protected by
a table-specific semaphore as needed. Several caveats apply, however:</p><ul><li><p>If a thread is terminated while applying <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValLink" data-pltdoc="x">hash-ref</a></span>,
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="RktValLink" data-pltdoc="x">hash-ref-key</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="RktValLink" data-pltdoc="x">hash-set!</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-remove%21%29%29" class="RktValLink" data-pltdoc="x">hash-remove!</a></span>,
<span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-ref%21%29%29" class="RktValLink" data-pltdoc="x">hash-ref!</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%21%29%29" class="RktValLink" data-pltdoc="x">hash-update!</a></span>, or <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-clear%21%29%29" class="RktValLink" data-pltdoc="x">hash-clear!</a></span>
to a hash table that
uses <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, or <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span> key
comparisons, all current and future operations on the hash table may
block indefinitely.</p></li><li><p>The <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-map%29%29" class="RktValLink" data-pltdoc="x">hash-map</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-for-each%29%29" class="RktValLink" data-pltdoc="x">hash-for-each</a></span>, and <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-clear%21%29%29" class="RktValLink" data-pltdoc="x">hash-clear!</a></span> procedures do
not use the table&rsquo;s semaphore to guard the traversal as a whole
(if a traversal is needed, in the case of <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-clear%21%29%29" class="RktValLink" data-pltdoc="x">hash-clear!</a></span>).
Changes by one thread to a hash table can affect the keys and values
seen by another thread part-way through its traversal of the same
hash table.</p></li><li><p>The <span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%21%29%29" class="RktValLink" data-pltdoc="x">hash-update!</a></span> and <span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-ref%21%29%29" class="RktValLink" data-pltdoc="x">hash-ref!</a></span> functions
use a table&rsquo;s semaphore
independently for the <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValLink" data-pltdoc="x">hash-ref</a></span> and <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="RktValLink" data-pltdoc="x">hash-set!</a></span> parts
of their functionality, which means that the update as a whole is not
&ldquo;atomic.&rdquo;</p></li><li><p>Adding a mutable hash table as a key in itself is trouble on
the grounds that the key is being mutated (see the caveat below),
but it is also a kind of concurrent use of the hash table: computing
a hash table&rsquo;s hash code may require waiting on the table&rsquo;s
semaphore, but the semaphore is already held for modifying the hash
table, so the hash-table addition can block indefinitely.</p></li></ul><p><a name="(elem._(caveat._mutable-keys))"></a><span style="font-weight: bold">Caveat concerning mutable
keys:</span> If a key in an <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>-based hash table is mutated
(e.g., a key string is modified with <span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string-set%21%29%29" class="RktValLink" data-pltdoc="x">string-set!</a></span>), then the
hash table&rsquo;s behavior for insertion and lookup operations becomes
unpredictable.</p><p>A literal or printed hash table starts with <span class="RktInBG"><span class="hspace"></span><span class="RktIn">#hash</span><span class="hspace"></span></span>,
<span class="RktInBG"><span class="hspace"></span><span class="RktIn">#hashalw</span><span class="hspace"></span></span>, <span class="RktInBG"><span class="hspace"></span><span class="RktIn">#hasheqv</span><span class="hspace"></span></span>, or
<span class="RktInBG"><span class="hspace"></span><span class="RktIn">#hasheq</span><span class="hspace"></span></span>. See <a href="reader.html#%28part._parse-hashtable%29" data-pltdoc="x">Reading Hash Tables</a>
for information on <span class="RktSym"><a href="Reading.html#%28def._%28%28quote._~23~25kernel%29._read%29%29" class="RktValLink" data-pltdoc="x">read</a></span>ing
hash tables and <a href="printing.html#%28part._print-hashtable%29" data-pltdoc="x">Printing Hash Tables</a>
for information on <span class="RktSym"><a href="Writing.html#%28def._%28%28quote._~23~25kernel%29._print%29%29" class="RktValLink" data-pltdoc="x">print</a></span>ing hash tables.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">v</span> is a <a href="hashtables.html#%28tech._hash._table%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash table</span></a>, <span class="RktVal">#f</span>
otherwise.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-equal~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-equal?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">hash</span> compares keys with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>,
<span class="RktVal">#f</span> if it compares with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>, or
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-equal-always~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal-always~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-equal-always?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">hash</span> compares keys with
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, <span class="RktVal">#f</span> if it compares with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>,
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>, or <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>.</div></p><p class="SHistory">Added in version 8.5.0.3 of package <span class="stt">base</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-eqv~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eqv~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-eqv?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">hash</span> compares keys with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>,
<span class="RktVal">#f</span> if it compares with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>,
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, or <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-eq~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eq~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-eq?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">hash</span> compares keys with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>,
<span class="RktVal">#f</span> if it compares with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>,
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, or <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-strong~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-strong?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">hash</span> retains its keys strongly,
<span class="RktVal">#f</span> if it retains keys weakly or like <a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemerons</span></a>.</div></p><p class="SHistory">Added in version 8.0.0.10 of package <span class="stt">base</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-weak~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-weak~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-weak?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">hash</span> retains its keys weakly,
<span class="RktVal">#f</span> if it retains keys strongly or like <a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemerons</span></a>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-ephemeron~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ephemeron~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-ephemeron?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">hash</span> retains its keys like
<a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemerons</span></a>, <span class="RktVal">#f</span> if it retains keys strongly or merely
weakly.</div></p><p class="SHistory">Added in version 8.0.0.10 of package <span class="stt">base</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">val</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">val</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hashalw))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hashalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">hashalw</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">val</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal-always?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">val</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hasheq))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hasheq%29%29" class="RktValDef RktValLink" data-pltdoc="x">hasheq</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">val</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eq~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eq?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">val</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hasheqv))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hasheqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">hasheqv</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">val</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eqv?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">val</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Creates an immutable hash table with each given <span class="RktVar">key</span> mapped to
the following <span class="RktVar">val</span>; each <span class="RktVar">key</span> must have a <span class="RktVar">val</span>,
so the total number of arguments to <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash%29%29" class="RktValLink" data-pltdoc="x">hash</a></span> must be even.</div></p><p>The <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash%29%29" class="RktValLink" data-pltdoc="x">hash</a></span> procedure creates a table where keys are compared
with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hashalw%29%29" class="RktValLink" data-pltdoc="x">hashalw</a></span> creates a table where keys are compared with
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hasheq%29%29" class="RktValLink" data-pltdoc="x">hasheq</a></span> procedure creates a table where
keys are compared with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hasheqv%29%29" class="RktValLink" data-pltdoc="x">hasheqv</a></span> procedure
creates a table where keys are compared with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>.</p><p>The <span class="RktVar">key</span> to <span class="RktVar">val</span> mappings are added to the table in
the order that they appear in the argument list, so later mappings can
hide earlier mappings if the <span class="RktVar">key</span>s are equal.</p><p class="SHistory">Changed in version 8.5.0.3 of package <span class="stt">base</span>: Added <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hashalw%29%29" class="RktValLink" data-pltdoc="x">hashalw</a></span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-hash))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-hash</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-hashalw))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hashalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-hashalw</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal-always?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-hasheqv))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-hasheqv</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eqv?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-hasheq))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheq%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-hasheq</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eq~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Creates a mutable hash table that holds keys strongly.</div></p><p>The <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span> procedure creates a table where keys are
compared with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheq%29%29" class="RktValLink" data-pltdoc="x">make-hasheq</a></span> procedure creates
a table where keys are compared with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>,
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheqv%29%29" class="RktValLink" data-pltdoc="x">make-hasheqv</a></span> procedure creates a table where keys are
compared with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>, and <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-hashalw</a></span> creates a table
where keys are compared with <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>.</p><p>The table is initialized with the content of <span class="RktVar">assocs</span>. In each
element of <span class="RktVar">assocs</span>, the <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._car%29%29" class="RktValLink" data-pltdoc="x">car</a></span> is a key, and the
<span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cdr%29%29" class="RktValLink" data-pltdoc="x">cdr</a></span> is the corresponding value. The mappings are added to the
table in the order that they appear in <span class="RktVar">assocs</span>, so later
mappings can hide earlier mappings.</p><p>See also <span class="RktSym"><a href="dicts.html#%28def._%28%28lib._racket%2Fdict..rkt%29._make-custom-hash%29%29" class="RktValLink" data-pltdoc="x">make-custom-hash</a></span>.</p><p class="SHistory">Changed in version 8.5.0.3 of package <span class="stt">base</span>: Added <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-hashalw</a></span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-weak-hash))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hash%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-weak-hash</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-weak~3f%29%29" class="RktValLink" data-pltdoc="x">hash-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-weak-hashalw))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hashalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-weak-hashalw</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal-always?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-weak~3f%29%29" class="RktValLink" data-pltdoc="x">hash-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-weak-hasheqv))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hasheqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-weak-hasheqv</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eqv?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-weak~3f%29%29" class="RktValLink" data-pltdoc="x">hash-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-weak-hasheq))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hasheq%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-weak-hasheq</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eq~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-weak~3f%29%29" class="RktValLink" data-pltdoc="x">hash-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheq%29%29" class="RktValLink" data-pltdoc="x">make-hasheq</a></span>,
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheqv%29%29" class="RktValLink" data-pltdoc="x">make-hasheqv</a></span>, and <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-hashalw</a></span>, but creates a
mutable hash table that holds keys weakly.</div></p><p>Beware that values in a weak hash table are retained normally. If a value in
the table refers back to its key, then the table will retain the value
and therefore the key; the mapping will never be removed from the
table even if the key becomes otherwise inaccessible. To avoid that
problem, use an ephemeron hash table as created by
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hash%29%29" class="RktValLink" data-pltdoc="x">make-ephemeron-hash</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-ephemeron-hashalw</a></span>,
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hasheqv%29%29" class="RktValLink" data-pltdoc="x">make-ephemeron-hasheqv</a></span>, or <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hasheq%29%29" class="RktValLink" data-pltdoc="x">make-ephemeron-hasheq</a></span>.
For values that do not refer to keys,
there is a modest extra cost to using an ephemeron hash table instead
of a weak hash table, but prefer an ephemeron hash table when in
doubt.</p><p class="SHistory">Changed in version 8.5.0.3 of package <span class="stt">base</span>: Added <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-weak-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-weak-hashalw</a></span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-ephemeron-hash))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hash%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-ephemeron-hash</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ephemeron~3f%29%29" class="RktValLink" data-pltdoc="x">hash-ephemeron?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-ephemeron-hashalw))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hashalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-ephemeron-hashalw</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal-always?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ephemeron~3f%29%29" class="RktValLink" data-pltdoc="x">hash-ephemeron?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-ephemeron-hasheqv))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hasheqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-ephemeron-hasheqv</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eqv?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ephemeron~3f%29%29" class="RktValLink" data-pltdoc="x">hash-ephemeron?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-ephemeron-hasheq))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hasheq%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-ephemeron-hasheq</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eq~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ephemeron~3f%29%29" class="RktValLink" data-pltdoc="x">hash-ephemeron?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheq%29%29" class="RktValLink" data-pltdoc="x">make-hasheq</a></span>,
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheqv%29%29" class="RktValLink" data-pltdoc="x">make-hasheqv</a></span>, and <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-hashalw</a></span>,
but creates a mutable hash table that holds
key-value combinations in the same way as an <a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemeron</span></a>.</div></p><p>Using an ephemeron hash table is like using a weak hash table and
mapping each key to a <a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemeron</span></a> that pairs the key and value.
An advantage of an ephemeron hash table is that the value need not be
extracted with <span class="RktSym"><a href="ephemerons.html#%28def._%28%28quote._~23~25kernel%29._ephemeron-value%29%29" class="RktValLink" data-pltdoc="x">ephemeron-value</a></span> from the result of functions
like <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValLink" data-pltdoc="x">hash-ref</a></span>. An ephemeron hash table might also be
represented more compactly than a weak hash table with explicit
<a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemeron</span></a> values.</p><p class="SHistory">Added in version 8.0.0.10 of package <span class="stt">base</span>.<br/>Changed in version 8.5.0.3: Added <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-ephemeron-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-ephemeron-hashalw</a></span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-immutable-hash))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-immutable-hash</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-immutable-hashalw))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hashalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-immutable-hashalw</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">hash-equal-always?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-immutable-hasheqv))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hasheqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-immutable-hasheqv</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eqv?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._make-immutable-hasheq))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hasheq%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-immutable-hasheq</a></span></span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">assocs</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-eq~3f%29%29" class="RktValLink" data-pltdoc="x">hash-eq?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-strong~3f%29%29" class="RktValLink" data-pltdoc="x">hash-strong?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">assocs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._pair~3f%29%29" class="RktValLink" data-pltdoc="x">pair?</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash%29%29" class="RktValLink" data-pltdoc="x">hash</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hashalw%29%29" class="RktValLink" data-pltdoc="x">hashalw</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hasheq%29%29" class="RktValLink" data-pltdoc="x">hasheq</a></span>, and
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hasheqv%29%29" class="RktValLink" data-pltdoc="x">hasheqv</a></span>, but accepts
the key&ndash;value mapping in association-list form like
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-hashalw</a></span>, <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheq%29%29" class="RktValLink" data-pltdoc="x">make-hasheq</a></span>, and
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hasheqv%29%29" class="RktValLink" data-pltdoc="x">make-hasheqv</a></span>.</div></p><p class="SHistory">Changed in version 8.5.0.3 of package <span class="stt">base</span>: Added <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hashalw%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hashalw</a></span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-set!))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-set!</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="void.html#%28def._%28%28quote._~23~25kernel%29._void~3f%29%29" class="RktValLink" data-pltdoc="x">void?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Maps <span class="RktVar">key</span> to <span class="RktVar">v</span> in <span class="RktVar">hash</span>, overwriting
any existing mapping for <span class="RktVar">key</span>.</div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> and the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/base..rkt)._hash-set*!))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-set%2A%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-set*!</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="void.html#%28def._%28%28quote._~23~25kernel%29._void~3f%29%29" class="RktValLink" data-pltdoc="x">void?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Maps each <span class="RktVar">key</span> to each <span class="RktVar">v</span> in <span class="RktVar">hash</span>, overwriting
any existing mapping for each <span class="RktVar">key</span>. Mappings are added from the left, so
later mappings overwrite earlier mappings.</div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> and the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-set))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-set</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Functionally extends <span class="RktVar">hash</span> by mapping <span class="RktVar">key</span> to
<span class="RktVar">v</span>, overwriting any existing mapping for <span class="RktVar">key</span>, and
returning the extended hash table.</div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/base..rkt)._hash-set*))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-set%2A%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-set*</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Functionally extends <span class="RktVar">hash</span> by mapping each <span class="RktVar">key</span> to
<span class="RktVar">v</span>, overwriting any existing mapping for each <span class="RktVar">key</span>, and
returning the extended hash table. Mappings are added from the left, so
later mappings overwrite earlier mappings.</div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-ref))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-ref</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">failure-result</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%29%29" class="RktStxLink" data-pltdoc="x">any</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">failure-result</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._failure-result%2Fc%29%29" class="RktValLink" data-pltdoc="x">failure-result/c</a></span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28quote._~23~25kernel%29._raise%29%29" class="RktValLink" data-pltdoc="x">raise</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._make-exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">make-exn:fail:contract</a></span><span class="hspace">&nbsp;</span><span class="RktSym">....</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Returns the value for <span class="RktVar">key</span> in <span class="RktVar">hash</span>. If no value
is found for <span class="RktVar">key</span>, then <span class="RktVar">failure-result</span> determines the
result:</div></p><ul><li><p>If <span class="RktVar">failure-result</span> is a procedure, it is called
(through a tail call) with no arguments to produce the result.</p></li><li><p>Otherwise, <span class="RktVar">failure-result</span> is returned as the result.</p></li></ul><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> and the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-ref-key))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-ref-key</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">failure-result</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%29%29" class="RktStxLink" data-pltdoc="x">any</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">failure-result</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._failure-result%2Fc%29%29" class="RktValLink" data-pltdoc="x">failure-result/c</a></span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28quote._~23~25kernel%29._raise%29%29" class="RktValLink" data-pltdoc="x">raise</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._make-exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">make-exn:fail:contract</a></span><span class="hspace">&nbsp;</span><span class="RktSym">....</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Returns the key held by <span class="RktVar">hash</span> that is equivalent to <span class="RktVar">key</span>
according to <span class="RktVar">hash</span>&rsquo;s key-comparison function. If no key is found,
then <span class="RktVar">failure-result</span> is used as in <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValLink" data-pltdoc="x">hash-ref</a></span> to determine
the result.</div></p><p>If <span class="RktVar">hash</span> is not an <a href="chaperones.html#%28tech._impersonator%29" class="techoutside" data-pltdoc="x"><span class="techinside">impersonator</span></a>, then the returned key,
assuming it is found, will be <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>-equivalent to the one
actually retained by <span class="RktVar">hash</span>:</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string-copy%29%29" class="RktValLink" data-pltdoc="x">string-copy</a></span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="RktValLink" data-pltdoc="x">hash-set!</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">value</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="RktValLink" data-pltdoc="x">hash-ref-key</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="RktValLink" data-pltdoc="x">hash-ref-key</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr></table></blockquote></div></p><p>If a mutable hash is updated multiple times using keys that are
not <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>-equivalent but are equivalent according to the
hash&rsquo;s key-comparison procedure, the hash retains the first one:</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string-copy%29%29" class="RktValLink" data-pltdoc="x">string-copy</a></span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="RktValLink" data-pltdoc="x">hash-set!</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">one</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="RktValLink" data-pltdoc="x">hash-set!</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">two</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="RktValLink" data-pltdoc="x">hash-ref-key</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="RktValLink" data-pltdoc="x">hash-ref-key</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr></table></blockquote></div></p><p><div class="SIntrapara">Conversely, an immutable hash retains the key that was most-recently
used to update it:
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string-copy%29%29" class="RktValLink" data-pltdoc="x">string-copy</a></span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table0</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table1</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%29%29" class="RktValLink" data-pltdoc="x">hash-set</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table0</span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">one</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table2</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%29%29" class="RktValLink" data-pltdoc="x">hash-set</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table1</span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">two</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="RktValLink" data-pltdoc="x">hash-ref-key</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table2</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym">original-key</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref-key%29%29" class="RktValLink" data-pltdoc="x">hash-ref-key</a></span><span class="hspace">&nbsp;</span><span class="RktSym">table2</span><span class="hspace">&nbsp;</span><span class="RktVal">"hello"</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktSym">key-copy</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr></table></blockquote></div></p></div></p><p>If <span class="RktVar">hash</span> is an <a href="chaperones.html#%28tech._impersonator%29" class="techoutside" data-pltdoc="x"><span class="techinside">impersonator</span></a>, then the returned key
will be determined as described in the documentation to
<span class="RktSym"><a href="chaperones.html#%28def._%28%28quote._~23~25kernel%29._impersonate-hash%29%29" class="RktValLink" data-pltdoc="x">impersonate-hash</a></span>.</p><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> and the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p class="SHistory">Added in version 7.4.0.3 of package <span class="stt">base</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/more-scheme..rkt)._hash-ref!))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-ref%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-ref!</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">to-set</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%29%29" class="RktStxLink" data-pltdoc="x">any</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">to-set</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._failure-result%2Fc%29%29" class="RktValLink" data-pltdoc="x">failure-result/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the value for <span class="RktVar">key</span> in <span class="RktVar">hash</span>. If no value is
found for <span class="RktVar">key</span>, then <span class="RktVar">to-set</span> determines the result as
in <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValLink" data-pltdoc="x">hash-ref</a></span> (i.e., it is either a thunk that computes a value
or a plain value), and this result is stored in <span class="RktVar">hash</span> for the
<span class="RktVar">key</span>. (Note that if <span class="RktVar">to-set</span> is a thunk, it is not
invoked in tail position.)</div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> and the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/more-scheme..rkt)._hash-has-key~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-has-key~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-has-key?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">hash</span> contains a value for the given
<span class="RktVar">key</span>, <span class="RktVal">#f</span> otherwise.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._racket/private/more-scheme..rkt)._hash-update!))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-update!</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">hash</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">key</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">updater</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span><span class="RktOpt">[</span></td><td valign="top"><span class="RktVar">failure-result</span><span class="RktOpt">]</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktSym"><a href="void.html#%28def._%28%28quote._~23~25kernel%29._void~3f%29%29" class="RktValLink" data-pltdoc="x">void?</a></span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">updater</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktPn">. </span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="RktPn"> .</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">failure-result</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._failure-result%2Fc%29%29" class="RktValLink" data-pltdoc="x">failure-result/c</a></span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28quote._~23~25kernel%29._raise%29%29" class="RktValLink" data-pltdoc="x">raise</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._make-exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">make-exn:fail:contract</a></span><span class="hspace">&nbsp;</span><span class="RktSym">....</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Updates the value mapped by <span class="RktVar">key</span> in <span class="RktVar">hash</span> by applying <span class="RktVar">updater</span> to the value.
The value returned by <span class="RktVar">updater</span> becomes the new mapping for <span class="RktVar">key</span>, overwriting the
original value in <span class="RktVar">hash</span>.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-set%21%29%29" class="RktValLink" data-pltdoc="x">hash-set!</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p>&nbsp;</p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%21%29%29" class="RktValLink" data-pltdoc="x">hash-update!</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._add1%29%29" class="RktValLink" data-pltdoc="x">add1</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktSym">h</span></td></tr><tr><td><p><span class="RktRes">'#hash((a . 6))</span></p></td></tr></table></blockquote></div></p><p>The optional <span class="RktVar">failure-result</span> argument is used when no mapping exists for <span class="RktVar">key</span>
already, in the same manner as in <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValLink" data-pltdoc="x">hash-ref</a></span>.</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p>&nbsp;</p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%21%29%29" class="RktValLink" data-pltdoc="x">hash-update!</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._add1%29%29" class="RktValLink" data-pltdoc="x">add1</a></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktErr">hash-update!: no value found for key: 'b</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%21%29%29" class="RktValLink" data-pltdoc="x">hash-update!</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._add1%29%29" class="RktValLink" data-pltdoc="x">add1</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktSym">h</span></td></tr><tr><td><p><span class="RktRes">'#hash((b . 1))</span></p></td></tr></table></blockquote></div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> and the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/more-scheme..rkt)._hash-update))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-update</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span><span class="RktVar">updater</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">failure-result</span><span class="RktOpt">]</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">updater</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktPn">. </span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="RktPn"> .</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">failure-result</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._failure-result%2Fc%29%29" class="RktValLink" data-pltdoc="x">failure-result/c</a></span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28quote._~23~25kernel%29._raise%29%29" class="RktValLink" data-pltdoc="x">raise</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._make-exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">make-exn:fail:contract</a></span><span class="hspace">&nbsp;</span><span class="RktSym">....</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Functionally updates the value mapped by <span class="RktVar">key</span> in <span class="RktVar">hash</span> by applying <span class="RktVar">updater</span>
to the value and returning a new hash table. The value returned by <span class="RktVar">updater</span> becomes the new
mapping for <span class="RktVar">key</span> in the returned hash table.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p>&nbsp;</p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%29%29" class="RktValLink" data-pltdoc="x">hash-update</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._add1%29%29" class="RktValLink" data-pltdoc="x">add1</a></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#hash((a . 6))</span></p></td></tr></table></blockquote></div></p><p>The optional <span class="RktVar">failure-result</span> argument is used when no mapping exists for <span class="RktVar">key</span>
already, in the same manner as in <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-ref%29%29" class="RktValLink" data-pltdoc="x">hash-ref</a></span>.</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p>&nbsp;</p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%29%29" class="RktValLink" data-pltdoc="x">hash-update</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._add1%29%29" class="RktValLink" data-pltdoc="x">add1</a></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktErr">hash-update: no value found for key: 'b</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fmore-scheme..rkt%29._hash-update%29%29" class="RktValLink" data-pltdoc="x">hash-update</a></span><span class="hspace">&nbsp;</span><span class="RktSym">h</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._add1%29%29" class="RktValLink" data-pltdoc="x">add1</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#hash((b . 1))</span></p></td></tr></table></blockquote></div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-remove!))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-remove%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-remove!</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="void.html#%28def._%28%28quote._~23~25kernel%29._void~3f%29%29" class="RktValLink" data-pltdoc="x">void?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Removes any existing mapping for <span class="RktVar">key</span> in <span class="RktVar">hash</span>.</div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> and the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-remove))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-remove%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-remove</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">key</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">key</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Functionally removes any existing mapping for <span class="RktVar">key</span> in
<span class="RktVar">hash</span>, returning the fresh hash table.</div></p><p>See also the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-clear!))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-clear%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-clear!</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="void.html#%28def._%28%28quote._~23~25kernel%29._void~3f%29%29" class="RktValLink" data-pltdoc="x">void?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Removes all mappings from <span class="RktVar">hash</span>.</div></p><p>If <span class="RktVar">hash</span> is not an <a href="chaperones.html#%28tech._impersonator%29" class="techoutside" data-pltdoc="x"><span class="techinside">impersonator</span></a>, then all mappings are
removed in constant time. If <span class="RktVar">hash</span> is an <a href="chaperones.html#%28tech._impersonator%29" class="techoutside" data-pltdoc="x"><span class="techinside">impersonator</span></a>,
then each key is removed one-by-one using <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-remove%21%29%29" class="RktValLink" data-pltdoc="x">hash-remove!</a></span>.</p><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> and the <a href="hashtables.html#%28elem._%28caveat._mutable-keys%29%29" data-pltdoc="x">caveat concerning mutable keys</a> above.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-clear))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-clear%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-clear</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Functionally removes all mappings from <span class="RktVar">hash</span>.</div></p><p>If <span class="RktVar">hash</span> is not a <a href="chaperones.html#%28tech._chaperone%29" class="techoutside" data-pltdoc="x"><span class="techinside">chaperone</span></a>, then clearing is
equivalent to creating a new <a href="hashtables.html#%28tech._hash._table%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash table</span></a>, and the operation is
performed in constant time. If <span class="RktVar">hash</span> is a <a href="chaperones.html#%28tech._chaperone%29" class="techoutside" data-pltdoc="x"><span class="techinside">chaperone</span></a>,
then each key is removed one-by-one using <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-remove%29%29" class="RktValLink" data-pltdoc="x">hash-remove</a></span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/base..rkt)._hash-copy-clear))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-copy-clear%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-copy-clear</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktPn">#:kind</span><span class="hspace">&nbsp;</span><span class="RktVar">kind</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">kind</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._or%2Fc%29%29" class="RktValLink" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">immutable</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">mutable</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">weak</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">ephemeron</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#f</span></td></tr></table></blockquote></div><div class="SIntrapara">Produces an empty <a href="hashtables.html#%28tech._hash._table%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash table</span></a> with the same key-comparison
procedure as <span class="RktVar">hash</span>, with either the given <span class="RktVar">kind</span>
or the same kind as the given <span class="RktVar">hash</span>.</div></p><p>If <span class="RktVar">kind</span> is not supplied or <span class="RktVal">#f</span>, produces a hash
table of the same kind and mutability as the given <span class="RktVar">hash</span>.
If <span class="RktVar">kind</span> is <span class="RktVal">'</span><span class="RktVal">immutable</span>, <span class="RktVal">'</span><span class="RktVal">mutable</span>,
<span class="RktVal">'</span><span class="RktVal">weak</span>, or <span class="RktVal">'</span><span class="RktVal">ephemeron</span>, produces a table that&rsquo;s
immutable, mutable with strongly-held keys, mutable with
weakly-held keys, or mutable with ephemeron-held keys
respectively.</p><p class="SHistory">Changed in version 8.5.0.2 of package <span class="stt">base</span>: Added the <span class="RktVar">kind</span> argument.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-map))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-map%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-map</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">proc</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">try-order?</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">proc</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktPn">. </span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="RktPn"> .</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">try-order?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#f</span></td></tr></table></blockquote></div><div class="SIntrapara">Applies the procedure <span class="RktVar">proc</span> to each element in
<span class="RktVar">hash</span> in an unspecified order, accumulating the results
into a list. The procedure <span class="RktVar">proc</span> is called each time with a
key and its value, and the procedure&rsquo;s individual results appear in
order in the result list.</div></p><p>If a hash table is extended with new keys (either through
<span class="RktVar">proc</span> or by another thread) while a <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-map%29%29" class="RktValLink" data-pltdoc="x">hash-map</a></span> or
<span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-for-each%29%29" class="RktValLink" data-pltdoc="x">hash-for-each</a></span> traversal is in process, arbitrary key&ndash;value
pairs can be dropped or duplicated in the traversal. Key mappings can
be deleted or remapped (by any thread) with no adverse affects; the
change does not affect a traversal if the key has been seen already,
otherwise the traversal skips a deleted key or uses the remapped key&rsquo;s
new value.</p><p>See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> above.</p><p>If <span class="RktVar">try-order?</span> is true, then the order of keys and values
passed to <span class="RktVar">proc</span> is normalized under certain
circumstances&#8212;<wbr></wbr>including when every key is one of the following and
with the following order (earlier bullets before later):</p><ul><li><p><a href="booleans.html#%28tech._boolean%29" class="techoutside" data-pltdoc="x"><span class="techinside">booleans</span></a> sorted <span class="RktVal">#f</span> before <span class="RktVal">#t</span>;</p></li><li><p><a href="characters.html#%28tech._character%29" class="techoutside" data-pltdoc="x"><span class="techinside">characters</span></a> sorted by <span class="RktSym"><a href="characters.html#%28def._%28%28quote._~23~25kernel%29._char~3c~3f%29%29" class="RktValLink" data-pltdoc="x">char&lt;?</a></span>;</p></li><li><p><a href="numbers.html#%28tech._real._number%29" class="techoutside" data-pltdoc="x"><span class="techinside">real numbers</span></a> sorted by <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._~3c%29%29" class="RktValLink" data-pltdoc="x">&lt;</a></span>;</p></li><li><p><a href="symbols.html#%28tech._symbol%29" class="techoutside" data-pltdoc="x"><span class="techinside">symbols</span></a> sorted with <a href="symbols.html#%28tech._uninterned%29" class="techoutside" data-pltdoc="x"><span class="techinside">uninterned</span></a> symbols before
<a href="symbols.html#%28tech._unreadable._symbol%29" class="techoutside" data-pltdoc="x"><span class="techinside">unreadable symbols</span></a> before <a href="reader.html#%28tech._interned%29" class="techoutside" data-pltdoc="x"><span class="techinside">interned</span></a> symbols,
then sorted by <span class="RktSym"><a href="symbols.html#%28def._%28%28quote._~23~25kernel%29._symbol~3c~3f%29%29" class="RktValLink" data-pltdoc="x">symbol&lt;?</a></span>;</p></li><li><p><a href="keywords.html#%28tech._keyword%29" class="techoutside" data-pltdoc="x"><span class="techinside">keywords</span></a> sorted by <span class="RktSym"><a href="keywords.html#%28def._%28%28quote._~23~25kernel%29._keyword~3c~3f%29%29" class="RktValLink" data-pltdoc="x">keyword&lt;?</a></span>;</p></li><li><p><a href="strings.html#%28tech._string%29" class="techoutside" data-pltdoc="x"><span class="techinside">strings</span></a> sorted by <span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string~3c~3f%29%29" class="RktValLink" data-pltdoc="x">string&lt;?</a></span>;</p></li><li><p><a href="bytestrings.html#%28tech._byte._string%29" class="techoutside" data-pltdoc="x"><span class="techinside">byte strings</span></a> sorted by <span class="RktSym"><a href="bytestrings.html#%28def._%28%28quote._~23~25kernel%29._bytes~3c~3f%29%29" class="RktValLink" data-pltdoc="x">bytes&lt;?</a></span>;</p></li><li><p><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._null%29%29" class="RktValLink" data-pltdoc="x">null</a></span>;</p></li><li><p><a href="https://download.racket-lang.org/releases/8.6/doc/local-redirect/index.html?doc=guide&amp;rel=void_undefined.html&amp;version=8.6" class="RktModLink Sq" data-pltdoc="x"><span class="nobreak"><span class="RktRes">#&lt;void&gt;</span></span></a>; and</p></li><li><p><span class="RktSym"><a href="port-ops.html#%28def._%28%28quote._~23~25kernel%29._eof%29%29" class="RktValLink" data-pltdoc="x">eof</a></span>.</p></li></ul><p class="SHistory">Changed in version 6.3 of package <span class="stt">base</span>: Added the <span class="RktVar">try-order?</span> argument.<br/>Changed in version 7.1.0.7: Added guarantees for <span class="RktVar">try-order?</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/base..rkt)._hash-map/copy))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-map%2Fcopy%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-map/copy</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">proc</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktPn">#:kind</span><span class="hspace">&nbsp;</span><span class="RktVar">kind</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">proc</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktPn">. </span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="RktPn"> .</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="values.html#%28def._%28%28quote._~23~25kernel%29._values%29%29" class="RktValLink" data-pltdoc="x">values</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">kind</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._or%2Fc%29%29" class="RktValLink" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">immutable</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">mutable</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">weak</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">ephemeron</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#f</span></td></tr></table></blockquote></div><div class="SIntrapara">Applies the procedure <span class="RktVar">proc</span> to each element in
<span class="RktVar">hash</span> in an unspecified order, accumulating the results
into a new hash with the same key-comparison procedure as
<span class="RktVar">hash</span>, with either the given <span class="RktVar">kind</span> or the same
kind as the given <span class="RktVar">hash</span>.</div></p><p>If <span class="RktVar">kind</span> is not supplied or <span class="RktVal">#f</span>, produces a hash
table of the same kind and mutability as the given <span class="RktVar">hash</span>.
If <span class="RktVar">kind</span> is <span class="RktVal">'</span><span class="RktVal">immutable</span>, <span class="RktVal">'</span><span class="RktVal">mutable</span>,
<span class="RktVal">'</span><span class="RktVal">weak</span>, or <span class="RktVal">'</span><span class="RktVal">ephemeron</span>, produces a table that&rsquo;s
immutable, mutable with strongly-held keys, mutable with
weakly-held keys, or mutable with ephemeron-held keys
respectively.</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-map%2Fcopy%29%29" class="RktValLink" data-pltdoc="x">hash-map/copy</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#hash</span><span class="RktPn">(</span><span class="RktPn">(</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktPn">. </span><span class="RktVal">"apple"</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktPn">. </span><span class="RktVal">"banana"</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktSym">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="values.html#%28def._%28%28quote._~23~25kernel%29._values%29%29" class="RktValLink" data-pltdoc="x">values</a></span><span class="hspace">&nbsp;</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string-upcase%29%29" class="RktValLink" data-pltdoc="x">string-upcase</a></span><span class="hspace">&nbsp;</span><span class="RktSym">v</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><span class="RktRes">'#hash((a . "APPLE") (b . "BANANA"))</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">frozen-capital</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-map%2Fcopy%29%29" class="RktValLink" data-pltdoc="x">hash-map/copy</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">(</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">"apple"</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">(</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">"banana"</span><span class="RktVal">)</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktSym">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="values.html#%28def._%28%28quote._~23~25kernel%29._values%29%29" class="RktValLink" data-pltdoc="x">values</a></span><span class="hspace">&nbsp;</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string-upcase%29%29" class="RktValLink" data-pltdoc="x">string-upcase</a></span><span class="hspace">&nbsp;</span><span class="RktSym">v</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:kind</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">immutable</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><span class="stt">&gt; </span><span class="RktSym">frozen-capital</span></td></tr><tr><td><p><span class="RktRes">'#hash((a . "APPLE") (b . "BANANA"))</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="hspace">&nbsp;</span><span class="RktSym">frozen-capital</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr></table></blockquote></div></p><p class="SHistory">Added in version 8.5.0.2 of package <span class="stt">base</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/base..rkt)._hash-keys))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-keys%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-keys</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">try-order?</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">try-order?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#f</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns a list of the keys of <span class="RktVar">hash</span> in an unspecified order.</div></p><p><div class="SIntrapara">If <span class="RktVar">try-order?</span> is true, then the order of keys is normalized under
certain circumstances. See <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-map%29%29" class="RktValLink" data-pltdoc="x">hash-map</a></span> for further explanations on
<span class="RktVar">try-order?</span> and on information about modifying <span class="RktVar">hash</span> during
<span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-keys%29%29" class="RktValLink" data-pltdoc="x">hash-keys</a></span>. </div><div class="SIntrapara">See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> above.</div></p><p class="SHistory">Changed in version 8.3.0.11 of package <span class="stt">base</span>: Added the <span class="RktVar">try-order?</span> argument.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/base..rkt)._hash-values))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-values%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-values</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">try-order?</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">try-order?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#f</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns a list of the values of <span class="RktVar">hash</span> in an unspecified order.</div></p><p><div class="SIntrapara">If <span class="RktVar">try-order?</span> is true, then the order of values is normalized under
certain circumstances, based on the ordering of the associated keys.
See <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-map%29%29" class="RktValLink" data-pltdoc="x">hash-map</a></span> for further explanations on <span class="RktVar">try-order?</span> and on
information about modifying <span class="RktVar">hash</span> during
<span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-values%29%29" class="RktValLink" data-pltdoc="x">hash-values</a></span>. </div><div class="SIntrapara">See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> above.</div></p><p class="SHistory">Changed in version 8.3.0.11 of package <span class="stt">base</span>: Added the <span class="RktVar">try-order?</span> argument.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/base..rkt)._hash-~3elist))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-~3elist%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-&gt;list</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">try-order?</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._listof%29%29" class="RktValLink" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._cons%2Fc%29%29" class="RktValLink" data-pltdoc="x">cons/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">try-order?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#f</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns a list of the key&ndash;value pairs of <span class="RktVar">hash</span> in an unspecified order.</div></p><p><div class="SIntrapara">If <span class="RktVar">try-order?</span> is true, then the order of keys and values is normalized
under certain circumstances. See <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-map%29%29" class="RktValLink" data-pltdoc="x">hash-map</a></span> for further explanations on
<span class="RktVar">try-order?</span> and on information about modifying <span class="RktVar">hash</span> during
<span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-~3elist%29%29" class="RktValLink" data-pltdoc="x">hash-&gt;list</a></span>. </div><div class="SIntrapara">See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> above.</div></p><p class="SHistory">Changed in version 8.3.0.11 of package <span class="stt">base</span>: Added the <span class="RktVar">try-order?</span> argument.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-keys-subset~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-keys-subset~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-keys-subset?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash1</span><span class="hspace">&nbsp;</span><span class="RktVar">hash2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash1</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash2</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if the keys of <span class="RktVar">hash1</span> are a subset of or
the same as the keys of <span class="RktVar">hash2</span>. The hash tables must both use
the same key-comparison function (<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>,
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>, or <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>), otherwise the
<span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">exn:fail:contract</a></span> exception is raised.</div></p><p>Using <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-keys-subset~3f%29%29" class="RktValLink" data-pltdoc="x">hash-keys-subset?</a></span> on immutable hash tables can be much
faster than iterating through the keys of <span class="RktVar">hash1</span> to make sure
that each is in <span class="RktVar">hash2</span>.</p><p class="SHistory">Added in version 6.5.0.8 of package <span class="stt">base</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-for-each))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-for-each%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-for-each</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">proc</span><span class="hspace">&nbsp;</span><span class="RktOpt">[</span><span class="RktVar">try-order?</span><span class="RktOpt">]</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="void.html#%28def._%28%28quote._~23~25kernel%29._void~3f%29%29" class="RktValLink" data-pltdoc="x">void?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">proc</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktPn">. </span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="RktPn"> .</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%29%29" class="RktStxLink" data-pltdoc="x">any</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">try-order?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#f</span></td></tr></table></blockquote></div><div class="SIntrapara">Applies <span class="RktVar">proc</span> to each element in <span class="RktVar">hash</span> (for the
side-effects of <span class="RktVar">proc</span>) in an unspecified order. The procedure
<span class="RktVar">proc</span> is called each time with a key and its value.</div></p><p><div class="SIntrapara">See <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-map%29%29" class="RktValLink" data-pltdoc="x">hash-map</a></span> for information about <span class="RktVar">try-order?</span> and
about modifying <span class="RktVar">hash</span> within <span class="RktVar">proc</span>.
</div><div class="SIntrapara">See also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a> above.</div></p><p class="SHistory">Changed in version 6.3 of package <span class="stt">base</span>: Added the <span class="RktVar">try-order?</span> argument.<br/>Changed in version 7.1.0.7: Added guarantees for <span class="RktVar">try-order?</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-count))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-count%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-count</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the number of keys mapped by <span class="RktVar">hash</span>.</div></p><p>For the <a href="implementations.html#%28tech._c%29" class="techoutside" data-pltdoc="x"><span class="techinside">CS</span></a> implementation of Racket, the result is always
computed in constant time and atomically. For the <a href="implementations.html#%28tech._bc%29" class="techoutside" data-pltdoc="x"><span class="techinside">BC</span></a> implementation
of Racket, the result is computed in constant time and atomically only if
<span class="RktVar">hash</span> does not retain keys weakly or like an <a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemeron</span></a>,
otherwise, a traversal is required to count the keys.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/private/base..rkt)._hash-empty~3f))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._hash-empty~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-empty?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._boolean~3f%29%29" class="RktValLink" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._zero~3f%29%29" class="RktValLink" data-pltdoc="x">zero?</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-count%29%29" class="RktValLink" data-pltdoc="x">hash-count</a></span><span class="stt"> </span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="RktPn">)</span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-iterate-first))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-first%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-first</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._or%2Fc%29%29" class="RktValLink" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#f</span> if <span class="RktVar">hash</span> contains no elements, otherwise
it returns an integer that is an index to the first element in the hash
table; &ldquo;first&rdquo; refers to an unspecified ordering of the table
elements, and the index values are not necessarily consecutive
integers.</div></p><p>For a mutable <span class="RktVar">hash</span>, this index is guaranteed to refer to the
first item only as long as no items are added to or removed from
<span class="RktVar">hash</span>. More generally, an index is guaranteed to be a
<a name="(tech._valid._hash._index)"></a><span style="font-style: italic">valid hash index</span> for a given hash table only as long it
comes from <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-first%29%29" class="RktValLink" data-pltdoc="x">hash-iterate-first</a></span> or <span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-next%29%29" class="RktValLink" data-pltdoc="x">hash-iterate-next</a></span>,
and only as long as the hash table is not modified. In the case of a
hash table with weakly held keys or keys held like <a href="ephemerons.html#%28tech._ephemeron%29" class="techoutside" data-pltdoc="x"><span class="techinside">ephemerons</span></a>,
the hash table can be implicitly modified by the garbage collector
(see <a href="eval-model.html#%28part._gc-model%29" data-pltdoc="x">Garbage Collection</a>) when it discovers that the key is not
reachable.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-iterate-next))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-next%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-next</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">pos</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._or%2Fc%29%29" class="RktValLink" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns either an integer that is an index to the element in
<span class="RktVar">hash</span> after the element indexed by <span class="RktVar">pos</span> (which is not
necessarily one more than <span class="RktVar">pos</span>) or <span class="RktVal">#f</span> if <span class="RktVar">pos</span>
refers to the last element in <span class="RktVar">hash</span>.</div></p><p>If <span class="RktVar">pos</span> is not a <a href="hashtables.html#%28tech._valid._hash._index%29" class="techoutside" data-pltdoc="x"><span class="techinside">valid hash index</span></a> of <span class="RktVar">hash</span>,
then the result may be <span class="RktVal">#f</span> or it may be the next later index
that remains valid. The latter result is guaranteed if a hash table
has been modified only by the removal of keys.</p><p class="SHistory">Changed in version 7.0.0.10 of package <span class="stt">base</span>: Handle an invalid index by returning <span class="RktVal">#f</span>
instead of raising <span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">exn:fail:contract</a></span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-iterate-key))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-key%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-key</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">pos</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-key%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-key</a></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span><span class="RktVar">bad-index-v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">bad-index-v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Returns the key for the element in <span class="RktVar">hash</span> at index
<span class="RktVar">pos</span>.</div></p><p>If <span class="RktVar">pos</span> is not a <a href="hashtables.html#%28tech._valid._hash._index%29" class="techoutside" data-pltdoc="x"><span class="techinside">valid hash index</span></a> for <span class="RktVar">hash</span>,
the result is <span class="RktVar">bad-index-v</span> if provided, otherwise the
<span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">exn:fail:contract</a></span> exception is raised.</p><p class="SHistory">Changed in version 7.0.0.10 of package <span class="stt">base</span>: Added the optional <span class="RktVar">bad-index-v</span> argument.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-iterate-value))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-value%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-value</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">pos</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%29%29" class="RktStxLink" data-pltdoc="x">any</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-value%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-value</a></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span><span class="RktVar">bad-index-v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%29%29" class="RktStxLink" data-pltdoc="x">any</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">bad-index-v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Returns the value for the element in <span class="RktVar">hash</span> at index
<span class="RktVar">pos</span>.</div></p><p>If <span class="RktVar">pos</span> is not a <a href="hashtables.html#%28tech._valid._hash._index%29" class="techoutside" data-pltdoc="x"><span class="techinside">valid hash index</span></a> for <span class="RktVar">hash</span>,
the result is <span class="RktVar">bad-index-v</span> if provided, otherwise the
<span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">exn:fail:contract</a></span> exception is raised.</p><p class="SHistory">Changed in version 7.0.0.10 of package <span class="stt">base</span>: Added the optional <span class="RktVar">bad-index-v</span> argument.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-iterate-pair))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-pair%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-pair</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">pos</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cons%29%29" class="RktValLink" data-pltdoc="x">cons</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-pair%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-pair</a></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span><span class="RktVar">bad-index-v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cons%29%29" class="RktValLink" data-pltdoc="x">cons</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">bad-index-v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Returns a pair containing the key and value for the element
in <span class="RktVar">hash</span> at index <span class="RktVar">pos</span>.</div></p><p>If <span class="RktVar">pos</span> is not a <a href="hashtables.html#%28tech._valid._hash._index%29" class="techoutside" data-pltdoc="x"><span class="techinside">valid hash index</span></a> for <span class="RktVar">hash</span>,
the result is <span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._cons%29%29" class="RktValLink" data-pltdoc="x">cons</a></span><span class="stt"> </span><span class="RktVar">bad-index-v</span><span class="stt"> </span><span class="RktVar">bad-index-v</span><span class="RktPn">)</span> if
<span class="RktVar">bad-index-v</span> is provided, otherwise the
<span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">exn:fail:contract</a></span> exception is raised.</p><p class="SHistory">Added in version 6.4.0.5 of package <span class="stt">base</span>.<br/>Changed in version 7.0.0.10: Added the optional <span class="RktVar">bad-index-v</span> argument.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-iterate-key+value))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-key%2Bvalue%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-key+value</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span><span class="RktVar">pos</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><table cellspacing="0" cellpadding="0"><tr><td><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td><td><span class="hspace">&nbsp;</span></td><td><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="together"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-iterate-key%2Bvalue%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-iterate-key+value</a></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">hash</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">pos</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">bad-index-v</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><table cellspacing="0" cellpadding="0"><tr><td><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td><td><span class="hspace">&nbsp;</span></td><td><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">pos</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">bad-index-v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Returns the key and value for the element in <span class="RktVar">hash</span> at index
<span class="RktVar">pos</span>.</div></p><p>If <span class="RktVar">pos</span> is not a <a href="hashtables.html#%28tech._valid._hash._index%29" class="techoutside" data-pltdoc="x"><span class="techinside">valid hash index</span></a> for <span class="RktVar">hash</span>,
the result is <span class="RktPn">(</span><span class="RktSym"><a href="values.html#%28def._%28%28quote._~23~25kernel%29._values%29%29" class="RktValLink" data-pltdoc="x">values</a></span><span class="stt"> </span><span class="RktVar">bad-index-v</span><span class="stt"> </span><span class="RktVar">bad-index-v</span><span class="RktPn">)</span> if
<span class="RktVar">bad-index-v</span> is provided, otherwise the
<span class="RktSym"><a href="exns.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._exn~3afail~3acontract%29%29" class="RktValLink" data-pltdoc="x">exn:fail:contract</a></span> exception is raised.</p><p class="SHistory">Added in version 6.4.0.5 of package <span class="stt">base</span>.<br/>Changed in version 7.0.0.10: Added the optional <span class="RktVar">bad-index-v</span> argument.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((quote._~23~25kernel)._hash-copy))"></a><span title="Provided from: racket/base, racket | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash-copy%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-copy</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">hash</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">hash</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns a mutable hash table with the same mappings, same
key-comparison mode, and same key-holding strength as <span class="RktVar">hash</span>.</div></p><h5 x-source-module="(lib &quot;scribblings/reference/reference.scrbl&quot;)" x-source-pkg="racket-doc" x-part-tag="&quot;Additional_Hash_Table_Functions&quot;">4.15.1<tt>&nbsp;</tt><a name="(part._.Additional_.Hash_.Table_.Functions)"></a><a name="(mod-path._racket/hash)"></a>Additional Hash Table Functions</h5><p><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="defmodule"><tr><td align="left"><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="require.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._require%29%29" class="RktStxLink" data-pltdoc="x">require</a></span><span class="stt"> </span><a href="hashtables.html#%28mod-path._racket%2Fhash%29" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/hash</span></a><span class="RktPn">)</span></td><td align="right"><span class="RpackageSpec"><span class="Smaller">&nbsp;package:</span> <a href="https://pkgs.racket-lang.org/package/base" title="Install this package using `raco pkg install base`"><span class="stt">base</span></a></span></td></tr></table></div><div class="SIntrapara">The bindings documented in this section are provided by the <a href="hashtables.html#%28mod-path._racket%2Fhash%29" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/hash</span></a> library, not <a href="index.html" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/base</span></a> or <a href="index.html" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket</span></a>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._racket/hash..rkt)._hash-union))"></a><span title="Provided from: racket/hash | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-union%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-union</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">h0</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">h</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span><span class="RktOpt">[</span></td><td valign="top"><span class="RktPn">#:combine</span><span class="hspace">&nbsp;</span><span class="RktVar">combine</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">#:combine/key</span><span class="hspace">&nbsp;</span><span class="RktVar">combine/key</span><span class="RktOpt">]</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">h0</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">h</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">combine</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="stx-patterns.html#%28form._%28%28lib._racket%2Fprivate%2Fstxcase-scheme..rkt%29.__%29%29" class="RktStxLink" data-pltdoc="x">_</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28quote._~23~25kernel%29._error%29%29" class="RktValLink" data-pltdoc="x">error</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">hash-union</span><span class="hspace">&nbsp;</span><span class="RktSym">....</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">combine/key</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktSym">a</span><span class="hspace">&nbsp;</span><span class="RktSym">b</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktVar">combine</span><span class="hspace">&nbsp;</span><span class="RktSym">a</span><span class="hspace">&nbsp;</span><span class="RktSym">b</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Computes the union of <span class="RktVar">h0</span> with each hash table <span class="RktVar">h</span> by functional
update, adding each element of each <span class="RktVar">h</span> to <span class="RktVar">h0</span> in turn. For each
key <span class="RktSym">k</span> and value <span class="RktSym">v</span>, if a mapping from <span class="RktSym">k</span> to some value
<span class="RktSym">v0</span> already exists, it is replaced with a mapping from <span class="RktSym">k</span> to
<span class="RktPn">(</span><span class="RktVar">combine/key</span><span class="stt"> </span><span class="RktSym">k</span><span class="stt"> </span><span class="RktSym">v0</span><span class="stt"> </span><span class="RktSym">v</span><span class="RktPn">)</span>.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-union%29%29" class="RktValLink" data-pltdoc="x">hash-union</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">[</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">one</span><span class="RktVal">]</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">[</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">two</span><span class="RktVal">]</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">[</span><span class="RktVal">3</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">three</span><span class="RktVal">]</span><span class="RktVal">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><span class="RktRes">'#hash((1 . one) (2 . two) (3 . three))</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-union%29%29" class="RktValLink" data-pltdoc="x">hash-union</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">[</span><span class="RktVal">1</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktVal">one</span><span class="hspace">&nbsp;</span><span class="RktVal">uno</span><span class="RktVal">]</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktVal">[</span><span class="RktVal">2</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktVal">two</span><span class="hspace">&nbsp;</span><span class="RktVal">dos</span><span class="RktVal">]</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">[</span><span class="RktVal">1</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktVal">eins</span><span class="hspace">&nbsp;</span><span class="RktVal">un</span><span class="RktVal">]</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktVal">[</span><span class="RktVal">2</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktVal">zwei</span><span class="hspace">&nbsp;</span><span class="RktVal">deux</span><span class="RktVal">]</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:combine/key</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktSym">v1</span><span class="hspace">&nbsp;</span><span class="RktSym">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._append%29%29" class="RktValLink" data-pltdoc="x">append</a></span><span class="hspace">&nbsp;</span><span class="RktSym">v1</span><span class="hspace">&nbsp;</span><span class="RktSym">v2</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><span class="RktRes">'#hash((1 . (one uno eins un)) (2 . (two dos zwei deux)))</span></p></td></tr></table></blockquote></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._racket/hash..rkt)._hash-union!))"></a><span title="Provided from: racket/hash | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-union%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-union!</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">h0</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">h</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span><span class="RktOpt">[</span></td><td valign="top"><span class="RktPn">#:combine</span><span class="hspace">&nbsp;</span><span class="RktVar">combine</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">#:combine/key</span><span class="hspace">&nbsp;</span><span class="RktVar">combine/key</span><span class="RktOpt">]</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktSym"><a href="void.html#%28def._%28%28quote._~23~25kernel%29._void~3f%29%29" class="RktValLink" data-pltdoc="x">void?</a></span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">h0</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._not%2Fc%29%29" class="RktValLink" data-pltdoc="x">not/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">h</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">combine</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="stx-patterns.html#%28form._%28%28lib._racket%2Fprivate%2Fstxcase-scheme..rkt%29.__%29%29" class="RktStxLink" data-pltdoc="x">_</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28quote._~23~25kernel%29._error%29%29" class="RktValLink" data-pltdoc="x">error</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">hash-union</span><span class="hspace">&nbsp;</span><span class="RktSym">....</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">combine/key</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktSym">a</span><span class="hspace">&nbsp;</span><span class="RktSym">b</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktVar">combine</span><span class="hspace">&nbsp;</span><span class="RktSym">a</span><span class="hspace">&nbsp;</span><span class="RktSym">b</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Computes the union of <span class="RktVar">h0</span> with each hash table <span class="RktVar">h</span> by mutable
update, adding each element of each <span class="RktVar">h</span> to <span class="RktVar">h0</span> in turn. For each
key <span class="RktSym">k</span> and value <span class="RktSym">v</span>, if a mapping from <span class="RktSym">k</span> to some value
<span class="RktSym">v0</span> already exists, it is replaced with a mapping from <span class="RktSym">k</span> to
<span class="RktPn">(</span><span class="RktVar">combine/key</span><span class="stt"> </span><span class="RktSym">k</span><span class="stt"> </span><span class="RktSym">v0</span><span class="stt"> </span><span class="RktSym">v</span><span class="RktPn">)</span>.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="define.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._define%29%29" class="RktStxLink" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktVar">h</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-hash%29%29" class="RktValLink" data-pltdoc="x">make-hash</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktVar">h</span></td></tr><tr><td><p><span class="RktRes">'#hash()</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-union%21%29%29" class="RktValLink" data-pltdoc="x">hash-union!</a></span><span class="hspace">&nbsp;</span><span class="RktVar">h</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">[</span><span class="RktVal">1</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktVal">one</span><span class="hspace">&nbsp;</span><span class="RktVal">uno</span><span class="RktVal">]</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktVal">[</span><span class="RktVal">2</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktVal">two</span><span class="hspace">&nbsp;</span><span class="RktVal">dos</span><span class="RktVal">]</span><span class="RktVal">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktVar">h</span></td></tr><tr><td><p><span class="RktRes">'#hash((1 . (one uno)) (2 . (two dos)))</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-union%21%29%29" class="RktValLink" data-pltdoc="x">hash-union!</a></span><span class="hspace">&nbsp;</span><span class="RktVar">h</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">[</span><span class="RktVal">1</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktVal">eins</span><span class="hspace">&nbsp;</span><span class="RktVal">un</span><span class="RktVal">]</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktVal">[</span><span class="RktVal">2</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktVal">zwei</span><span class="hspace">&nbsp;</span><span class="RktVal">deux</span><span class="RktVal">]</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:combine/key</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktSym">v1</span><span class="hspace">&nbsp;</span><span class="RktSym">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._append%29%29" class="RktValLink" data-pltdoc="x">append</a></span><span class="hspace">&nbsp;</span><span class="RktSym">v1</span><span class="hspace">&nbsp;</span><span class="RktSym">v2</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><span class="stt">&gt; </span><span class="RktVar">h</span></td></tr><tr><td><p><span class="RktRes">'#hash((1 . (one uno eins un)) (2 . (two dos zwei deux)))</span></p></td></tr></table></blockquote></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._racket/hash..rkt)._hash-intersect))"></a><span title="Provided from: racket/hash | Package: base"><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-intersect%29%29" class="RktValDef RktValLink" data-pltdoc="x">hash-intersect</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">h0</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">h</span><span class="hspace">&nbsp;</span><span class="RktMeta">...</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span><span class="RktOpt">[</span></td><td valign="top"><span class="RktPn">#:combine</span><span class="hspace">&nbsp;</span><span class="RktVar">combine</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">#:combine/key</span><span class="hspace">&nbsp;</span><span class="RktVar">combine/key</span><span class="RktOpt">]</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">h0</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._immutable~3f%29%29" class="RktValLink" data-pltdoc="x">immutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">h</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._hash~3f%29%29" class="RktValLink" data-pltdoc="x">hash?</a></span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">combine</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="stx-patterns.html#%28form._%28%28lib._racket%2Fprivate%2Fstxcase-scheme..rkt%29.__%29%29" class="RktStxLink" data-pltdoc="x">_</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="exns.html#%28def._%28%28quote._~23~25kernel%29._error%29%29" class="RktValLink" data-pltdoc="x">error</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">hash-intersect</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="stx-patterns.html#%28form._%28%28lib._racket%2Fprivate%2Fstxcase-scheme..rkt%29._......%29%29" class="RktStxLink" data-pltdoc="x">...</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace">&nbsp;&nbsp;</span></td><td valign="top"><span class="RktVar">combine/key</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">:</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="data-structure-contracts.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fmisc..rkt%29._any%2Fc%29%29" class="RktValLink" data-pltdoc="x">any/c</a></span><span class="RktPn">)</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">=</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktSym">a</span><span class="hspace">&nbsp;</span><span class="RktSym">b</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktVar">combine</span><span class="hspace">&nbsp;</span><span class="RktSym">a</span><span class="hspace">&nbsp;</span><span class="RktSym">b</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Constructs the hash table which is the intersection of <span class="RktVar">h0</span>
with every hash table <span class="RktVar">h</span>. In the resulting hash table, a key
<span class="RktSym">k</span> is mapped to a combination of the values to which
<span class="RktSym">k</span> is mapped in each of the hash tables. The final values are
computed by stepwise combination of the values appearing in each of
the hash tables by applying <span class="RktPn">(</span><span class="RktVar">combine/key</span><span class="stt"> </span><span class="RktSym">k</span><span class="stt"> </span><span class="RktSym">v</span><span class="stt"> </span><span class="RktSym">vi</span><span class="RktPn">)</span> or
<span class="RktPn">(</span><span class="RktVar">combine</span><span class="stt"> </span><span class="RktSym">v</span><span class="stt"> </span><span class="RktSym">vi</span><span class="RktPn">)</span>, where <span class="RktSym">vi</span> is the value to which
<span class="RktSym">k</span> is mapped in the i-th hash table <span class="RktVar">h</span>, and
<span class="RktSym">v</span> is the accumulation of the values from the previous steps.
The comparison predicate of the first argument (<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span>,
<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv~3f%29%29" class="RktValLink" data-pltdoc="x">eqv?</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">equal-always?</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>) determines the
one for the result.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-intersect%29%29" class="RktValLink" data-pltdoc="x">hash-intersect</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">(</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">1</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">(</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">(</span><span class="RktVal">c</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">3</span><span class="RktVal">)</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">(</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">4</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">(</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">5</span><span class="RktVal">)</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:combine</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._%2B%29%29" class="RktValLink" data-pltdoc="x">+</a></span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><span class="RktRes">'#hash((a . 5) (b . 7))</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28lib._racket%2Fhash..rkt%29._hash-intersect%29%29" class="RktValLink" data-pltdoc="x">hash-intersect</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">(</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">1</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">(</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">(</span><span class="RktVal">c</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">3</span><span class="RktVal">)</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="hashtables.html#%28def._%28%28quote._~23~25kernel%29._make-immutable-hash%29%29" class="RktValLink" data-pltdoc="x">make-immutable-hash</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">(</span><span class="RktVal">a</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">4</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">(</span><span class="RktVal">b</span><span class="hspace">&nbsp;</span><span class="RktVal">. </span><span class="RktVal">5</span><span class="RktVal">)</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:combine/key</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktSym">v1</span><span class="hspace">&nbsp;</span><span class="RktSym">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="if.html#%28form._%28%28quote._~23~25kernel%29._if%29%29" class="RktStxLink" data-pltdoc="x">if</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq~3f%29%29" class="RktValLink" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktSym">k</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">a</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._%2B%29%29" class="RktValLink" data-pltdoc="x">+</a></span><span class="hspace">&nbsp;</span><span class="RktSym">v1</span><span class="hspace">&nbsp;</span><span class="RktSym">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._-%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktSym">v1</span><span class="hspace">&nbsp;</span><span class="RktSym">v2</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><span class="RktRes">'#hash((a . 5) (b . -3))</span></p></td></tr></table></blockquote></div></p><p class="SHistory">Added in version 7.9.0.1 of package <span class="stt">base</span>.</p><div class="navsetbottom"><span class="navleft"><form class="searchform"><input class="searchbox" id="searchbox" type="text" tabindex="1" placeholder="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, &quot;8.6&quot;, &quot;../&quot;);"/></form>&nbsp;&nbsp;<a href="https://docs.racket-lang.org/index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot(&quot;8.6&quot;);">top</a><span class="tocsettoggle">&nbsp;&nbsp;<a href="javascript:void(0);" title="show/hide table of contents" onclick="TocsetToggle();">contents</a></span></span><span class="navright">&nbsp;&nbsp;<a href="boxes.html" title="backward to &quot;4.14 Boxes&quot;" data-pltdoc="x">&larr; prev</a>&nbsp;&nbsp;<a href="data.html" title="up to &quot;4 Datatypes&quot;" data-pltdoc="x">up</a>&nbsp;&nbsp;<a href="sequences_streams.html" title="forward to &quot;4.16 Sequences and Streams&quot;" data-pltdoc="x">next &rarr;</a></span>&nbsp;</div></div></div><div id="contextindicator">&nbsp;</div></body></html>