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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>4.18 Sets</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="../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,"tocview_0");">►</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 </td><td><a href="model.html" class="tocviewlink" data-pltdoc="x">Language Model</a></td></tr><tr><td align="right">2 </td><td><a href="notation.html" class="tocviewlink" data-pltdoc="x">Notation for Documentation</a></td></tr><tr><td align="right">3 </td><td><a href="syntax.html" class="tocviewlink" data-pltdoc="x">Syntactic Forms</a></td></tr><tr><td align="right">4 </td><td><a href="data.html" class="tocviewselflink" data-pltdoc="x">Datatypes</a></td></tr><tr><td align="right">5 </td><td><a href="structures.html" class="tocviewlink" data-pltdoc="x">Structures</a></td></tr><tr><td align="right">6 </td><td><a href="mzlib_class.html" class="tocviewlink" data-pltdoc="x">Classes and Objects</a></td></tr><tr><td align="right">7 </td><td><a href="mzlib_unit.html" class="tocviewlink" data-pltdoc="x">Units</a></td></tr><tr><td align="right">8 </td><td><a href="contracts.html" class="tocviewlink" data-pltdoc="x">Contracts</a></td></tr><tr><td align="right">9 </td><td><a href="match.html" class="tocviewlink" data-pltdoc="x">Pattern Matching</a></td></tr><tr><td align="right">10 </td><td><a href="control.html" class="tocviewlink" data-pltdoc="x">Control Flow</a></td></tr><tr><td align="right">11 </td><td><a href="concurrency.html" class="tocviewlink" data-pltdoc="x">Concurrency and Parallelism</a></td></tr><tr><td align="right">12 </td><td><a href="Macros.html" class="tocviewlink" data-pltdoc="x">Macros</a></td></tr><tr><td align="right">13 </td><td><a href="input-and-output.html" class="tocviewlink" data-pltdoc="x">Input and Output</a></td></tr><tr><td align="right">14 </td><td><a href="security.html" class="tocviewlink" data-pltdoc="x">Reflection and Security</a></td></tr><tr><td align="right">15 </td><td><a href="os.html" class="tocviewlink" data-pltdoc="x">Operating System</a></td></tr><tr><td align="right">16 </td><td><a href="memory.html" class="tocviewlink" data-pltdoc="x">Memory Management</a></td></tr><tr><td align="right">17 </td><td><a href="unsafe.html" class="tocviewlink" data-pltdoc="x">Unsafe Operations</a></td></tr><tr><td align="right">18 </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,"tocview_1");">▼</a></td><td>4 </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 </td><td><a href="Equality.html" class="tocviewlink" data-pltdoc="x">Equality</a></td></tr><tr><td align="right">4.2 </td><td><a href="booleans.html" class="tocviewlink" data-pltdoc="x">Booleans</a></td></tr><tr><td align="right">4.3 </td><td><a href="numbers.html" class="tocviewlink" data-pltdoc="x">Numbers</a></td></tr><tr><td align="right">4.4 </td><td><a href="strings.html" class="tocviewlink" data-pltdoc="x">Strings</a></td></tr><tr><td align="right">4.5 </td><td><a href="bytestrings.html" class="tocviewlink" data-pltdoc="x">Byte Strings</a></td></tr><tr><td align="right">4.6 </td><td><a href="characters.html" class="tocviewlink" data-pltdoc="x">Characters</a></td></tr><tr><td align="right">4.7 </td><td><a href="symbols.html" class="tocviewlink" data-pltdoc="x">Symbols</a></td></tr><tr><td align="right">4.8 </td><td><a href="regexp.html" class="tocviewlink" data-pltdoc="x">Regular Expressions</a></td></tr><tr><td align="right">4.9 </td><td><a href="keywords.html" class="tocviewlink" data-pltdoc="x">Keywords</a></td></tr><tr><td align="right">4.10 </td><td><a href="pairs.html" class="tocviewlink" data-pltdoc="x">Pairs and Lists</a></td></tr><tr><td align="right">4.11 </td><td><a href="mpairs.html" class="tocviewlink" data-pltdoc="x">Mutable Pairs and Lists</a></td></tr><tr><td align="right">4.12 </td><td><a href="vectors.html" class="tocviewlink" data-pltdoc="x">Vectors</a></td></tr><tr><td align="right">4.13 </td><td><a href="stencil_vectors.html" class="tocviewlink" data-pltdoc="x">Stencil Vectors</a></td></tr><tr><td align="right">4.14 </td><td><a href="boxes.html" class="tocviewlink" data-pltdoc="x">Boxes</a></td></tr><tr><td align="right">4.15 </td><td><a href="hashtables.html" class="tocviewlink" data-pltdoc="x">Hash Tables</a></td></tr><tr><td align="right">4.16 </td><td><a href="sequences_streams.html" class="tocviewlink" data-pltdoc="x">Sequences and Streams</a></td></tr><tr><td align="right">4.17 </td><td><a href="dicts.html" class="tocviewlink" data-pltdoc="x">Dictionaries</a></td></tr><tr><td align="right">4.18 </td><td><a href="sets.html" class="tocviewselflink" data-pltdoc="x">Sets</a></td></tr><tr><td align="right">4.19 </td><td><a href="procedures.html" class="tocviewlink" data-pltdoc="x">Procedures</a></td></tr><tr><td align="right">4.20 </td><td><a href="void.html" class="tocviewlink" data-pltdoc="x">Void</a></td></tr><tr><td align="right">4.21 </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,"tocview_2");">►</a></td><td>4.18 </td><td><a href="sets.html" class="tocviewselflink" data-pltdoc="x">Sets</a></td></tr></table><div class="tocviewsublistbottom" style="display: none;" id="tocview_2"><table cellspacing="0" cellpadding="0"><tr><td align="right">4.18.1 </td><td><a href="sets.html#%28part._.Hash_.Sets%29" class="tocviewlink" data-pltdoc="x">Hash Sets</a></td></tr><tr><td align="right">4.18.2 </td><td><a href="sets.html#%28part._.Set_.Predicates_and_.Contracts%29" class="tocviewlink" data-pltdoc="x">Set Predicates and Contracts</a></td></tr><tr><td align="right">4.18.3 </td><td><a href="sets.html#%28part._.Generic_.Set_.Interface%29" class="tocviewlink" data-pltdoc="x">Generic Set Interface</a></td></tr><tr><td align="right">4.18.4 </td><td><a href="sets.html#%28part._.Custom_.Hash_.Sets%29" class="tocviewlink" data-pltdoc="x">Custom Hash Sets</a></td></tr></table></div></div></div><div class="tocsub"><div class="tocsubtitle">On this page:</div><table class="tocsublist" cellspacing="0"><tr><td><span class="tocsublinknumber">4.18.1<tt> </tt></span><a href="sets.html#%28part._.Hash_.Sets%29" class="tocsubseclink" data-pltdoc="x">Hash Sets</a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>equal?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>equal-<wbr></wbr>always?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eqv~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>eqv?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eq~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>eq?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>mutable?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>weak?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">mutable-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">mutable-<wbr></wbr>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">mutable-<wbr></wbr>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">mutable-<wbr></wbr>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">weak-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">weak-<wbr></wbr>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">weak-<wbr></wbr>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">weak-<wbr></wbr>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eset%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3esetalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eseteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eseteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>mutable-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>mutable-<wbr></wbr>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>mutable-<wbr></wbr>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>mutable-<wbr></wbr>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>weak-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>weak-<wbr></wbr>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>weak-<wbr></wbr>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">list-<wbr></wbr>>weak-<wbr></wbr>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fset%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>set</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fseteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fseteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fsetalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fset%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>set</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fseteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fseteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fsetalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>mutable-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>mutable-<wbr></wbr>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>mutable-<wbr></wbr>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>mutable-<wbr></wbr>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fmutable-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>mutable-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fmutable-seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>mutable-<wbr></wbr>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fmutable-seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>mutable-<wbr></wbr>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fmutable-setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>mutable-<wbr></wbr>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>weak-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>weak-<wbr></wbr>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>weak-<wbr></wbr>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>weak-<wbr></wbr>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fweak-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>weak-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fweak-seteq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>weak-<wbr></wbr>seteq</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fweak-seteqv%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>weak-<wbr></wbr>seteqv</span></span></a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fweak-setalw%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>weak-<wbr></wbr>setalw</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-immutable-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">in-<wbr></wbr>immutable-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-mutable-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">in-<wbr></wbr>mutable-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-weak-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">in-<wbr></wbr>weak-<wbr></wbr>set</span></span></a></td></tr><tr><td><span class="tocsublinknumber">4.18.2<tt> </tt></span><a href="sets.html#%28part._.Set_.Predicates_and_.Contracts%29" class="tocsubseclink" data-pltdoc="x">Set Predicates and Contracts</a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">generic-<wbr></wbr>set?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>implements?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements%2Fc%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>implements/<span class="mywbr"> </span>c</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%2Fc%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set/<span class="mywbr"> </span>c</span></span></a></td></tr><tr><td><span class="tocsublinknumber">4.18.3<tt> </tt></span><a href="sets.html#%28part._.Generic_.Set_.Interface%29" class="tocsubseclink" data-pltdoc="x">Generic Set Interface</a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._gen~3aset%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">gen:<span class="mywbr"> </span>set</span></span></a></td></tr><tr><td><span class="tocsublinknumber">4.18.3.1<tt> </tt></span><a href="sets.html#%28part._set-methods%29" class="tocsubseclink" data-pltdoc="x">Set Methods</a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>member?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>add</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>add!</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>remove</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>remove!</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>empty?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-count%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>count</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>first</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-rest%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>rest</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>>stream</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>copy</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy-clear%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>copy-<wbr></wbr>clear</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>clear</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>clear!</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>union</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>union!</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-intersect%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>intersect</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-intersect%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>intersect!</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-subtract%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>subtract</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-subtract%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>subtract!</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-symmetric-difference%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>symmetric-<wbr></wbr>difference</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-symmetric-difference%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>symmetric-<wbr></wbr>difference!</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set=?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._subset~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">subset?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._proper-subset~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">proper-<wbr></wbr>subset?</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3elist%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>>list</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-map%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>map</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-for-each%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">set-<wbr></wbr>for-<wbr></wbr>each</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">in-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._impersonate-hash-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">impersonate-<wbr></wbr>hash-<wbr></wbr>set</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._chaperone-hash-set%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">chaperone-<wbr></wbr>hash-<wbr></wbr>set</span></span></a></td></tr><tr><td><span class="tocsublinknumber">4.18.4<tt> </tt></span><a href="sets.html#%28part._.Custom_.Hash_.Sets%29" class="tocsubseclink" data-pltdoc="x">Custom Hash Sets</a></td></tr><tr><td><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._define-custom-set-types%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">define-<wbr></wbr>custom-<wbr></wbr>set-<wbr></wbr>types</span></span></a></td></tr><tr><td><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._make-custom-set-types%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>custom-<wbr></wbr>set-<wbr></wbr>types</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, "8.6", "../");"/></form> <a href="https://docs.racket-lang.org/index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("8.6");">top</a><span class="tocsettoggle"> <a href="javascript:void(0);" title="show/hide table of contents" onclick="TocsetToggle();">contents</a></span></span><span class="navright"> <a href="dicts.html" title="backward to "4.17 Dictionaries"" data-pltdoc="x">← prev</a> <a href="data.html" title="up to "4 Datatypes"" data-pltdoc="x">up</a> <a href="procedures.html" title="forward to "4.19 Procedures"" data-pltdoc="x">next →</a></span> </div><h4 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""sets"">4.18<tt> </tt><a name="(part._sets)"></a><a name="(mod-path._racket/set)"></a>Sets</h4><p>A <a name="(tech._set)"></a><span style="font-style: italic">set</span> represents a collection of distinct elements. The following
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datatypes are all sets:</p><ul><li><p><a href="sets.html#%28tech._hash._set%29" data-pltdoc="x">hash sets</a>;</p></li><li><p><a href="pairs.html#%28tech._list%29" data-pltdoc="x">lists</a> using <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> to compare elements; and</p></li><li><p><a href="structures.html#%28tech._structure%29" data-pltdoc="x">structures</a> whose types implement the <span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._gen~3aset%29%29" class="RktStxLink" data-pltdoc="x">gen:set</a></span>
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<a href="struct-generics.html#%28tech._generic._interface%29" class="techoutside" data-pltdoc="x"><span class="techinside">generic interface</span></a>.</p></li></ul><p><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="defmodule"><tr><td align="left"><span class="hspace"> </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="sets.html" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/set</span></a><span class="RktPn">)</span></td><td align="right"><span class="RpackageSpec"><span class="Smaller"> 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="sets.html" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/set</span></a> and <a href="index.html" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket</span></a> libraries, but not <a href="index.html" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/base</span></a>.</div></p><h5 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""Hash_Sets"">4.18.1<tt> </tt><a name="(part._.Hash_.Sets)"></a>Hash Sets</h5><p>A <a name="(tech._hash._set)"></a><span style="font-style: italic">hash set</span> is a set whose elements are compared 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>,
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<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 partitioned
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via <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-hash-code%29%29" class="RktValLink" data-pltdoc="x">equal-hash-code</a></span>, <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._equal-always-hash-code%29%29" class="RktValLink" data-pltdoc="x">equal-always-hash-code</a></span>,
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<span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eqv-hash-code%29%29" class="RktValLink" data-pltdoc="x">eqv-hash-code</a></span>, or <span class="RktSym"><a href="Equality.html#%28def._%28%28quote._~23~25kernel%29._eq-hash-code%29%29" class="RktValLink" data-pltdoc="x">eq-hash-code</a></span>. A hash set is either
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immutable or mutable; mutable hash sets retain their elements either strongly
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or weakly.</p><blockquote class="refpara"><blockquote class="refcolumn"><blockquote class="refcontent"><p>Like operations on immutable hash tables, “constant time” hash
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set operations actually require <span style="font-style: italic">O</span>(<span style="font-style: italic">log N</span>)<span style="font-style: italic"></span> time for a set of size
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<span style="font-style: italic">N</span>.</p></blockquote></blockquote></blockquote><p>A hash set can be used as a <a href="streams.html#%28tech._stream%29" class="techoutside" data-pltdoc="x"><span class="techinside">stream</span></a> (see <a href="streams.html" data-pltdoc="x">Streams</a>) and thus as
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|
a single-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 elements of the
|
|
set serve as elements of the stream or sequence. If an element is added to or
|
|
removed from the hash set during iteration, then an iteration step may fail
|
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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
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elements. See also <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-set%29%29" class="RktValLink" data-pltdoc="x">in-set</a></span>.</p><p>Two hash sets 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> when they use the same element-comparison
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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
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|
<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 elements strongly or weakly, have the same
|
|
mutability, and have equivalent elements.
|
|
Immutable hash sets support effectively constant-time access and
|
|
update, just like mutable hash sets; the constant on immutable operations is
|
|
usually larger, but the functional nature of immutable hash sets can pay off in
|
|
certain algorithms.</p><p>All hash sets <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implement</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span>,
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-count%29%29" class="RktValLink" data-pltdoc="x">set-count</a></span>,
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|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._subset~3f%29%29" class="RktValLink" data-pltdoc="x">subset?</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._proper-subset~3f%29%29" class="RktValLink" data-pltdoc="x">proper-subset?</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-map%29%29" class="RktValLink" data-pltdoc="x">set-map</a></span>,
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-for-each%29%29" class="RktValLink" data-pltdoc="x">set-for-each</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy%29%29" class="RktValLink" data-pltdoc="x">set-copy</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy-clear%29%29" class="RktValLink" data-pltdoc="x">set-copy-clear</a></span>,
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3elist%29%29" class="RktValLink" data-pltdoc="x">set->list</a></span>, and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span>. Immutable hash sets in
|
|
addition <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implement</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span>,
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%29%29" class="RktValLink" data-pltdoc="x">set-clear</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValLink" data-pltdoc="x">set-union</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-intersect%29%29" class="RktValLink" data-pltdoc="x">set-intersect</a></span>,
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-subtract%29%29" class="RktValLink" data-pltdoc="x">set-subtract</a></span>, and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-symmetric-difference%29%29" class="RktValLink" data-pltdoc="x">set-symmetric-difference</a></span>. Mutable
|
|
hash sets in addition <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implement</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%21%29%29" class="RktValLink" data-pltdoc="x">set-add!</a></span>,
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%21%29%29" class="RktValLink" data-pltdoc="x">set-clear!</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%21%29%29" class="RktValLink" data-pltdoc="x">set-union!</a></span>,
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-intersect%21%29%29" class="RktValLink" data-pltdoc="x">set-intersect!</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-subtract%21%29%29" class="RktValLink" data-pltdoc="x">set-subtract!</a></span>, and
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-symmetric-difference%21%29%29" class="RktValLink" data-pltdoc="x">set-symmetric-difference!</a></span>.</p><p>Operations on sets that contain elements that are mutated are
|
|
unpredictable in much the same way that <a href="hashtables.html#%28tech._hash._table%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash table</span></a> operations are
|
|
unpredictable when keys are mutated.</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._((lib._racket/set..rkt)._set-equal~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-equal?</a></span></span><span class="hspace"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">x</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._set-equal-always~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-equal-always?</a></span></span><span class="hspace"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">x</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._set-eqv~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eqv~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-eqv?</a></span></span><span class="hspace"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">x</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._set-eq~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eq~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-eq?</a></span></span><span class="hspace"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">x</span><span class="hspace"> </span>:<span class="hspace"> </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 <span class="RktVal">#t</span> if <span class="RktVar">x</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that compares
|
|
elements 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>, <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>, respectively; returns <span class="RktVal">#f</span> otherwise.</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="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal-always?</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._((lib._racket/set..rkt)._set~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set?</a></span></span><span class="hspace"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">x</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._set-mutable~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-mutable?</a></span></span><span class="hspace"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">x</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._set-weak~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-weak?</a></span></span><span class="hspace"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">x</span><span class="hspace"> </span>:<span class="hspace"> </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 <span class="RktVal">#t</span> if <span class="RktVar">x</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that is respectively
|
|
immutable, mutable with strongly-held keys, or mutable with weakly-held keys;
|
|
returns <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><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._((lib._racket/set..rkt)._set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValDef RktValLink" data-pltdoc="x">set</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._setalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">setalw</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal-always?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">seteqv</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">set-eqv?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteq%29%29" class="RktValDef RktValLink" data-pltdoc="x">seteq</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eq~3f%29%29" class="RktValLink" data-pltdoc="x">set-eq?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._mutable-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">mutable-set</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._mutable-setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-setalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">mutable-setalw</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal-always?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._mutable-seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-seteqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">mutable-seteqv</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">set-eqv?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._mutable-seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-seteq%29%29" class="RktValDef RktValLink" data-pltdoc="x">mutable-seteq</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eq~3f%29%29" class="RktValLink" data-pltdoc="x">set-eq?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._weak-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">weak-set</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._weak-setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-setalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">weak-setalw</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal-always?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._weak-seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-seteqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">weak-seteqv</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">set-eqv?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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._((lib._racket/set..rkt)._weak-seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-seteq%29%29" class="RktValDef RktValLink" data-pltdoc="x">weak-seteq</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eq~3f%29%29" class="RktValLink" data-pltdoc="x">set-eq?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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 a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> with the given <span class="RktVar">v</span>s as elements. The
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elements are added in the order that they appear as arguments, so in the case
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of sets that use <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>,
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an earlier element may be replaced by a later element that is
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<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>, but not
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<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 class="SHistory">Changed in version 8.5.0.3 of package <span class="stt">base</span>: Added <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._setalw%29%29" class="RktValLink" data-pltdoc="x">setalw</a></span>,
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-setalw%29%29" class="RktValLink" data-pltdoc="x">mutable-setalw</a></span>, and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-setalw%29%29" class="RktValLink" data-pltdoc="x">weak-setalw</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._((lib._racket/set..rkt)._list-~3eset))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eset%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->set</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3esetalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3esetalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->setalw</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal-always?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3eseteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eseteqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->seteqv</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">set-eqv?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3eseteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eseteq%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->seteq</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eq~3f%29%29" class="RktValLink" data-pltdoc="x">set-eq?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3emutable-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->mutable-set</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3emutable-setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-setalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->mutable-setalw</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal-always?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3emutable-seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-seteqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->mutable-seteqv</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">set-eqv?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3emutable-seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-seteq%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->mutable-seteq</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eq~3f%29%29" class="RktValLink" data-pltdoc="x">set-eq?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3eweak-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->weak-set</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3eweak-setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-setalw%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->weak-setalw</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-equal-always~3f%29%29" class="RktValLink" data-pltdoc="x">set-equal-always?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3eweak-seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-seteqv%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->weak-seteqv</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eqv~3f%29%29" class="RktValLink" data-pltdoc="x">set-eqv?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</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._((lib._racket/set..rkt)._list-~3eweak-seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-seteq%29%29" class="RktValDef RktValLink" data-pltdoc="x">list->weak-seteq</a></span></span><span class="hspace"> </span><span class="RktVar">lst</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-eq~3f%29%29" class="RktValLink" data-pltdoc="x">set-eq?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">lst</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Creates a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> with the elements of the given <span class="RktVar">lst</span> as
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the elements of the set. Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="procedures.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._apply%29%29" class="RktValLink" data-pltdoc="x">apply</a></span><span class="stt"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="stt"> </span><span class="RktVar">lst</span><span class="RktPn">)</span>,
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<span class="RktPn">(</span><span class="RktSym"><a href="procedures.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._apply%29%29" class="RktValLink" data-pltdoc="x">apply</a></span><span class="stt"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._setalw%29%29" class="RktValLink" data-pltdoc="x">setalw</a></span><span class="stt"> </span><span class="RktVar">lst</span><span class="RktPn">)</span>, <span class="RktPn">(</span><span class="RktSym"><a href="procedures.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._apply%29%29" class="RktValLink" data-pltdoc="x">apply</a></span><span class="stt"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteqv%29%29" class="RktValLink" data-pltdoc="x">seteqv</a></span><span class="stt"> </span><span class="RktVar">lst</span><span class="RktPn">)</span>,
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<span class="RktPn">(</span><span class="RktSym"><a href="procedures.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._apply%29%29" class="RktValLink" data-pltdoc="x">apply</a></span><span class="stt"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteq%29%29" class="RktValLink" data-pltdoc="x">seteq</a></span><span class="stt"> </span><span class="RktVar">lst</span><span class="RktPn">)</span>, and so on, respectively.</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="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3esetalw%29%29" class="RktValLink" data-pltdoc="x">list->setalw</a></span>,
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3emutable-setalw%29%29" class="RktValLink" data-pltdoc="x">list->mutable-setalw</a></span>, and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._list-~3eweak-setalw%29%29" class="RktValLink" data-pltdoc="x">list->weak-setalw</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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fset%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/set</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fseteq%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/seteq</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fseteqv%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/seteqv</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fsetalw%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/setalw</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fset%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/set</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fseteq%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/seteq</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fseteqv%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/seteqv</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fsetalw%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/setalw</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/mutable-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-set%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/mutable-set</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/mutable-seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-seteq%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/mutable-seteq</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/mutable-seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-seteqv%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/mutable-seteqv</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/mutable-setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-setalw%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/mutable-setalw</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/mutable-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fmutable-set%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/mutable-set</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/mutable-seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fmutable-seteq%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/mutable-seteq</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/mutable-seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fmutable-seteqv%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/mutable-seteqv</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/mutable-setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fmutable-setalw%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/mutable-setalw</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/weak-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-set%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/weak-set</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/weak-seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-seteq%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/weak-seteq</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/weak-seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-seteqv%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/weak-seteqv</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for/weak-setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-setalw%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/weak-setalw</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/weak-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fweak-set%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/weak-set</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/weak-seteq))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fweak-seteq%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/weak-seteq</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/weak-seteqv))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fweak-seteqv%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/weak-seteqv</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></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>syntax</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._for*/weak-setalw))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2A%2Fweak-setalw%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/weak-setalw</a></span></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktVar">for-clause</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVar">body</span><span class="hspace"> </span><span class="RktMeta">...+</span><span class="RktPn">)</span></p></blockquote></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Analogous to <span class="RktSym"><a href="for.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._for%2Flist%29%29" class="RktStxLink" data-pltdoc="x">for/list</a></span> and <span class="RktSym"><a href="for.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._for%2A%2Flist%29%29" class="RktStxLink" data-pltdoc="x">for*/list</a></span>, but to
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construct a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> instead of a list.</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="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fsetalw%29%29" class="RktStxLink" data-pltdoc="x">for/setalw</a></span>,
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<span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fmutable-setalw%29%29" class="RktStxLink" data-pltdoc="x">for/mutable-setalw</a></span>, and <span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._for%2Fweak-setalw%29%29" class="RktStxLink" data-pltdoc="x">for/weak-setalw</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._((lib._racket/set..rkt)._in-immutable-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-immutable-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">in-immutable-set</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._sequence~3f%29%29" class="RktValLink" data-pltdoc="x">sequence?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</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._((lib._racket/set..rkt)._in-mutable-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-mutable-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">in-mutable-set</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._sequence~3f%29%29" class="RktValLink" data-pltdoc="x">sequence?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</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._((lib._racket/set..rkt)._in-weak-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-weak-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">in-weak-set</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._sequence~3f%29%29" class="RktValLink" data-pltdoc="x">sequence?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Explicitly converts a specific kind of <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> to a sequence for
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use with <span class="RktSym"><a href="for.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._for%29%29" class="RktStxLink" data-pltdoc="x">for</a></span> forms.</div></p><p>As with <span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._in-list%29%29" class="RktValLink" data-pltdoc="x">in-list</a></span> and some other sequence constructors,
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-immutable-set%29%29" class="RktValLink" data-pltdoc="x">in-immutable-set</a></span> performs better when it appears directly in a
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<span class="RktSym"><a href="for.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._for%29%29" class="RktStxLink" data-pltdoc="x">for</a></span> clause.</p><p>These sequence constructors are compatible with
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<a href="sets.html#%28part._.Custom_.Hash_.Sets%29" data-pltdoc="x">Custom Hash Sets</a>.</p><p class="SHistory">Added in version 6.4.0.7 of package <span class="stt">base</span>.</p><h5 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""Set_Predicates_and_Contracts"">4.18.2<tt> </tt><a name="(part._.Set_.Predicates_and_.Contracts)"></a>Set Predicates and Contracts</h5><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/set..rkt)._generic-set~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">generic-set?</a></span></span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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="sets.html#%28tech._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">set</span></a>; returns <span class="RktVal">#f</span>
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otherwise.</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">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list%29%29" class="RktValLink" data-pltdoc="x">list</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-seteq%29%29" class="RktValLink" data-pltdoc="x">mutable-seteq</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="vectors.html#%28def._%28%28quote._~23~25kernel%29._vector%29%29" class="RktValLink" data-pltdoc="x">vector</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</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"><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/set..rkt)._set-implements~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-implements?</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">sym</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">sym</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="symbols.html#%28def._%28%28quote._~23~25kernel%29._symbol~3f%29%29" class="RktValLink" data-pltdoc="x">symbol?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">st</span> implements all of the methods from
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<span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._gen~3aset%29%29" class="RktStxLink" data-pltdoc="x">gen:set</a></span> named by the <span class="RktVar">sym</span>s; returns <span class="RktVal">#f</span> otherwise.
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Fallback implementations do not affect the result; <span class="RktVar">st</span> may support the
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given methods via fallback implementations yet produce <span class="RktVal">#f</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">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="RktValLink" data-pltdoc="x">set-implements?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list%29%29" class="RktValLink" data-pltdoc="x">list</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">set-add</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="RktValLink" data-pltdoc="x">set-implements?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list%29%29" class="RktValLink" data-pltdoc="x">list</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">set-add!</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="RktValLink" data-pltdoc="x">set-implements?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">set-add</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="RktValLink" data-pltdoc="x">set-implements?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">set-add!</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="RktValLink" data-pltdoc="x">set-implements?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-seteq%29%29" class="RktValLink" data-pltdoc="x">mutable-seteq</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">set-add</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="RktValLink" data-pltdoc="x">set-implements?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-seteq%29%29" class="RktValLink" data-pltdoc="x">mutable-seteq</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">set-add!</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements~3f%29%29" class="RktValLink" data-pltdoc="x">set-implements?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._weak-seteqv%29%29" class="RktValLink" data-pltdoc="x">weak-seteqv</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">set-remove</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">set-remove!</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</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><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/set..rkt)._set-implements/c))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-implements%2Fc%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-implements/c</a></span></span><span class="hspace"> </span><span class="RktVar">sym</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fguts..rkt%29._flat-contract~3f%29%29" class="RktValLink" data-pltdoc="x">flat-contract?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">sym</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="symbols.html#%28def._%28%28quote._~23~25kernel%29._symbol~3f%29%29" class="RktValLink" data-pltdoc="x">symbol?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Recognizes sets that support all of the methods from <span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._gen~3aset%29%29" class="RktStxLink" data-pltdoc="x">gen:set</a></span>
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named by the <span class="RktVar">sym</span>s.</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/set..rkt)._set/c))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%2Fc%29%29" class="RktValDef RktValLink" data-pltdoc="x">set/c</a></span></span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">elem/c</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span><span class="RktOpt">[</span></td><td valign="top"><span class="RktPn">#:cmp</span><span class="hspace"> </span><span class="RktVar">cmp</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktPn">#:kind</span><span class="hspace"> </span><span class="RktVar">kind</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktPn">#:lazy?</span><span class="hspace"> </span><span class="RktVar">lazy?</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktPn">#:equal-key/c</span><span class="hspace"> </span><span class="RktVar">equal-key/c</span><span class="RktOpt">]</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">→</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fguts..rkt%29._contract~3f%29%29" class="RktValLink" data-pltdoc="x">contract?</a></span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">elem/c</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fguts..rkt%29._chaperone-contract~3f%29%29" class="RktValLink" data-pltdoc="x">chaperone-contract?</a></span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">cmp</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">:</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><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"> </span><span class="RktVal">'</span><span class="RktVal">dont-care</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">equal</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">equal-always</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">eqv</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">eq</span><span class="RktPn">)</span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">=</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVal">'</span><span class="RktVal">dont-care</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">kind</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">:</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><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"> </span><span class="RktVal">'</span><span class="RktVal">dont-care</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">immutable</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">mutable</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">weak</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">mutable-or-weak</span><span class="RktPn">)</span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">=</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVal">'</span><span class="RktVal">immutable</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">lazy?</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">:</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><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 valign="top"><span class="hspace"> </span></td><td valign="top">=</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._not%29%29" class="RktValLink" data-pltdoc="x">not</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="if.html#%28form._%28%28lib._racket%2Fprivate%2Fletstx-scheme..rkt%29._and%29%29" class="RktStxLink" data-pltdoc="x">and</a></span><span class="hspace"> </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"> </span><span class="RktVar">kind</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">immutable</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fguts..rkt%29._flat-contract~3f%29%29" class="RktValLink" data-pltdoc="x">flat-contract?</a></span><span class="hspace"> </span><span class="RktVar">elem/c</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">equal-key/c</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="contract-utilities.html#%28def._%28%28lib._racket%2Fcontract%2Fprivate%2Fguts..rkt%29._contract~3f%29%29" class="RktValLink" data-pltdoc="x">contract?</a></span><span class="hspace"> </span>=<span class="hspace"> </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">Constructs a contract that recognizes sets whose elements match
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<span class="RktVar">elem/c</span>.</div></p><p>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>, or
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|
<span class="RktVal">'</span><span class="RktVal">weak</span>, the resulting contract accepts only <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a> that
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|
are respectively immutable, mutable with strongly-held keys, or mutable with
|
|
weakly-held keys. If <span class="RktVar">kind</span> is <span class="RktVal">'</span><span class="RktVal">mutable-or-weak</span>, the
|
|
resulting contract accepts any mutable <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>, regardless of
|
|
key-holding strength.</p><p>If <span class="RktVar">cmp</span> is <span class="RktVal">'</span><span class="RktVal">equal</span>, <span class="RktVal">'</span><span class="RktVal">equal-always</span>, <span class="RktVal">'</span><span class="RktVal">eqv</span>,
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or <span class="RktVal">'</span><span class="RktVal">eq</span>, the resulting contract accepts only <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a> that
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compare elements using <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>,
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<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>, respectively.</p><p>If <span class="RktVar">cmp</span> is <span class="RktVal">'</span><span class="RktVal">eqv</span> or <span class="RktVal">'</span><span class="RktVal">eq</span>, then <span class="RktVar">elem/c</span> must
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be a <a href="contracts.html#%28tech._flat._contract%29" class="techoutside" data-pltdoc="x"><span class="techinside">flat contract</span></a>.</p><p>If <span class="RktVar">cmp</span> and <span class="RktVar">kind</span> are both <span class="RktVal">'</span><span class="RktVal">dont-care</span>, then the
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resulting contract will accept any kind of set, not just <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash
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|
sets</span></a>.</p><p>If <span class="RktVar">lazy?</span> is not <span class="RktVal">#f</span>, then the elements of the set are not checked
|
|
immediately by the contract and only the set itself is checked (according to the
|
|
<span class="RktVar">cmp</span> and <span class="RktVar">kind</span> arguments). If <span class="RktVar">lazy?</span> is
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|
<span class="RktVal">#f</span>, then the elements are checked immediately by the contract.
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|
The <span class="RktVar">lazy?</span> argument is ignored when the set contract accepts generic sets
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|
(i.e., when <span class="RktVar">cmp</span> and <span class="RktVar">kind</span> are both <span class="RktVal">'</span><span class="RktVal">dont-care</span>); in that
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case, the value being checked in that case is a <span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</a></span>, then the contract
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is not lazy otherwise the contract is lazy.</p><p>If <span class="RktVar">kind</span> allows mutable sets (i.e., is <span class="RktVal">'</span><span class="RktVal">dont-care</span>,
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|
<span class="RktVal">'</span><span class="RktVal">mutable</span>, <span class="RktVal">'</span><span class="RktVal">weak</span>, or
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|
<span class="RktVal">'</span><span class="RktVal">mutable-or-weak</span>) and <span class="RktVar">lazy?</span> is <span class="RktVal">#f</span>, then the elements
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|
are checked both immediately and when they are accessed from the set.</p><p>The <span class="RktVar">equal-key/c</span> contract is used when values are passed to the comparison
|
|
and hashing functions used internally.</p><p>The result contract will be a <a href="contracts.html#%28tech._flat._contract%29" class="techoutside" data-pltdoc="x"><span class="techinside">flat contract</span></a> when <span class="RktVar">elem/c</span>
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and <span class="RktVar">equal-key/c</span> are both <a href="contracts.html#%28tech._flat._contract%29" class="techoutside" data-pltdoc="x"><span class="techinside">flat contracts</span></a>,
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<span class="RktVar">lazy?</span> is <span class="RktVal">#f</span>, and <span class="RktVar">kind</span> is <span class="RktVal">'</span><span class="RktVal">immutable</span>.
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The result will be a <a href="contracts.html#%28tech._chaperone._contract%29" class="techoutside" data-pltdoc="x"><span class="techinside">chaperone contract</span></a> when <span class="RktVar">elem/c</span> is a
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<a href="contracts.html#%28tech._chaperone._contract%29" class="techoutside" data-pltdoc="x"><span class="techinside">chaperone contract</span></a>.</p><p class="SHistory">Changed in version 8.3.0.9 of package <span class="stt">base</span>: Added support for random generation.<br/>Changed in version 8.5.0.3: Added <span class="RktVal">'</span><span class="RktVal">equal-always</span> support for <span class="RktVar">cmp</span>.</p><h5 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""Generic_Set_Interface"">4.18.3<tt> </tt><a name="(part._.Generic_.Set_.Interface)"></a>Generic Set Interface</h5><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>syntax</p></div></div><p class="RForeground"><a name="(form._((lib._racket/set..rkt)._gen~3aset))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._gen~3aset%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">gen:set</a></span></span></p></blockquote></td></tr></table></blockquote></div><div class="SIntrapara">A <a href="struct-generics.html#%28tech._generic._interface%29" class="techoutside" data-pltdoc="x"><span class="techinside">generic interface</span></a> (see <a href="struct-generics.html" data-pltdoc="x">Generic Interfaces</a>) that
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|
supplies set method implementations for a structure type via the
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|
<span class="RktPn">#:methods</span> option of <span class="RktSym"><a href="define-struct.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._struct%29%29" class="RktStxLink" data-pltdoc="x">struct</a></span> definitions. This interface can
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|
be used to implement any of the methods documented as
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|
<a href="sets.html#%28part._set-methods%29" data-pltdoc="x">Set Methods</a>.</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">> </span><span class="RktPn">(</span><span class="RktSym"><a href="define-struct.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._struct%29%29" class="RktStxLink" data-pltdoc="x">struct</a></span><span class="hspace"> </span><span class="RktSym">binary-set</span><span class="hspace"> </span><span class="RktPn">[</span><span class="RktSym">integer</span><span class="RktPn">]</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">#:transparent</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">#:methods</span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._gen~3aset%29%29" class="RktStxLink" data-pltdoc="x">gen:set</a></span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">[</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"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span><span class="hspace"> </span><span class="RktSym">st</span><span class="hspace"> </span><span class="RktSym">i</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._bitwise-bit-set~3f%29%29" class="RktValLink" data-pltdoc="x">bitwise-bit-set?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">binary-set-integer</span><span class="hspace"> </span><span class="RktSym">st</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktSym">i</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </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"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span><span class="hspace"> </span><span class="RktSym">st</span><span class="hspace"> </span><span class="RktSym">i</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">binary-set</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._bitwise-ior%29%29" class="RktValLink" data-pltdoc="x">bitwise-ior</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">binary-set-integer</span><span class="hspace"> </span><span class="RktSym">st</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._arithmetic-shift%29%29" class="RktValLink" data-pltdoc="x">arithmetic-shift</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktSym">i</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </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"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span><span class="hspace"> </span><span class="RktSym">st</span><span class="hspace"> </span><span class="RktSym">i</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">binary-set</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._bitwise-and%29%29" class="RktValLink" data-pltdoc="x">bitwise-and</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">binary-set-integer</span><span class="hspace"> </span><span class="RktSym">st</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._bitwise-not%29%29" class="RktValLink" data-pltdoc="x">bitwise-not</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._arithmetic-shift%29%29" class="RktValLink" data-pltdoc="x">arithmetic-shift</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktSym">i</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">]</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><span class="stt">> </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"> </span><span class="RktSym">bset</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">binary-set</span><span class="hspace"> </span><span class="RktVal">5</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">> </span><span class="RktSym">bset</span></td></tr><tr><td><p><span class="RktRes">(binary-set 5)</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym">bset</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span><span class="hspace"> </span><span class="RktSym">bset</span><span class="hspace"> </span><span class="RktVal">0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span><span class="hspace"> </span><span class="RktSym">bset</span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span><span class="hspace"> </span><span class="RktSym">bset</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span><span class="hspace"> </span><span class="RktSym">bset</span><span class="hspace"> </span><span class="RktVal">4</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(binary-set 21)</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span><span class="hspace"> </span><span class="RktSym">bset</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(binary-set 1)</span></p></td></tr></table></blockquote></div></p><h5 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""set-methods"">4.18.3.1<tt> </tt><a name="(part._set-methods)"></a>Set Methods</h5><p>The methods of <span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._gen~3aset%29%29" class="RktStxLink" data-pltdoc="x">gen:set</a></span> can be classified into three categories, as determined by their fallback implementations:</p><ol><li><p>methods with no fallbacks,</p></li><li><p>methods whose fallbacks depend on other, non-fallback methods,</p></li><li><p>and methods whose fallbacks can depend on either fallback or non-fallback methods.</p></li></ol><p>As an example, implementing the following methods would guarantee that all the methods in <span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._gen~3aset%29%29" class="RktStxLink" data-pltdoc="x">gen:set</a></span> would at least have a fallback method:</p><ul><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%21%29%29" class="RktValLink" data-pltdoc="x">set-add!</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy-clear%29%29" class="RktValLink" data-pltdoc="x">set-copy-clear</a></span></p></li></ul><p>There may be other such subsets of methods that would guarantee at least a fallback for every method.</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/set..rkt)._set-member~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-member?</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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 in <span class="RktVar">st</span>, <span class="RktVal">#f</span>
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otherwise. Has no fallback.</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._((lib._racket/set..rkt)._set-add))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-add</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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">Produces a set that includes <span class="RktVar">v</span> plus all elements of
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<span class="RktVar">st</span>. This operation runs in constant time for <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>. Has no fallback.</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._((lib._racket/set..rkt)._set-add!))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-add!</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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">Adds the element <span class="RktVar">v</span> to <span class="RktVar">st</span>. This operation runs in constant
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time for <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>. Has no fallback.</div></p><p>For <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>, see also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a>
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for hash tables, which applies to
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hash sets.</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/set..rkt)._set-remove))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-remove</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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">Produces a set that includes all elements of <span class="RktVar">st</span> except
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<span class="RktVar">v</span>. This operation runs in constant time for <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>. Has no fallback.</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._((lib._racket/set..rkt)._set-remove!))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-remove!</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">v</span><span class="hspace"> </span>:<span class="hspace"> </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 the element <span class="RktVar">v</span> from <span class="RktVar">st</span>. This operation runs in constant
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time for <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>. Has no fallback.</div></p><p>For <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>, see also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a>
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for hash tables, which applies to
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hash sets.</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/set..rkt)._set-empty~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-empty?</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">st</span> has no members; returns <span class="RktVal">#f</span>
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otherwise.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span> or
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-count%29%29" class="RktValLink" data-pltdoc="x">set-count</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/set..rkt)._set-count))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-count%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-count</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the number of elements in <span class="RktVar">st</span>.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._set-first))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-first</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Produces an unspecified element of <span class="RktVar">st</span>. Multiple uses of
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span> on <span class="RktVar">st</span> produce the same result.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._set-rest))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-rest%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-rest</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a set that includes all elements of <span class="RktVar">st</span> except
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<span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span><span class="stt"> </span><span class="RktVar">st</span><span class="RktPn">)</span>.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span> and either
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span> or <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._set-~3estream))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValDef RktValLink" data-pltdoc="x">set->stream</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="streams.html#%28def._%28%28lib._racket%2Fstream..rkt%29._stream~3f%29%29" class="RktValLink" data-pltdoc="x">stream?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a stream containing the elements of <span class="RktVar">st</span>.</div></p><p><div class="SIntrapara">Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a>:
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</div><div class="SIntrapara"><ul><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3elist%29%29" class="RktValLink" data-pltdoc="x">set->list</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-set%29%29" class="RktValLink" data-pltdoc="x">in-set</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-rest%29%29" class="RktValLink" data-pltdoc="x">set-rest</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-count%29%29" class="RktValLink" data-pltdoc="x">set-count</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-rest%29%29" class="RktValLink" data-pltdoc="x">set-rest</a></span></p></li><li><p><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-count%29%29" class="RktValLink" data-pltdoc="x">set-count</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span>, <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span></p></li></ul></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._((lib._racket/set..rkt)._set-copy))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-copy</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a new, mutable set of the same type and with the same elements as
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<span class="RktVar">st</span>.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span> and
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<a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy-clear%29%29" class="RktValLink" data-pltdoc="x">set-copy-clear</a></span> and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%21%29%29" class="RktValLink" data-pltdoc="x">set-add!</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/set..rkt)._set-copy-clear))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy-clear%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-copy-clear</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a new, empty set of the same type, mutability, and key strength as
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<span class="RktVar">st</span>.</div></p><p>A difference between <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy-clear%29%29" class="RktValLink" data-pltdoc="x">set-copy-clear</a></span> and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%29%29" class="RktValLink" data-pltdoc="x">set-clear</a></span> is
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that the latter conceptually iterates <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span> on the given
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set, and so it preserves any contract on the given set. The
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy-clear%29%29" class="RktValLink" data-pltdoc="x">set-copy-clear</a></span> function produces a new set without any
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contracts.</p><p>The <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-copy-clear%29%29" class="RktValLink" data-pltdoc="x">set-copy-clear</a></span> function must call concrete set constructors
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and thus has no generic fallback.</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/set..rkt)._set-clear))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-clear</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a set like <span class="RktVar">st</span> but with all elements removed.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span> and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a>
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._set-clear!))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-clear!</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Removes all elements from <span class="RktVar">st</span>.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span> and either
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<a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span> or <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span> and either <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-count%29%29" class="RktValLink" data-pltdoc="x">set-count</a></span> or <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-empty~3f%29%29" class="RktValLink" data-pltdoc="x">set-empty?</a></span>.</p><p>For <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>, see also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a>
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for hash tables, which applies to
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hash sets.</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/set..rkt)._set-union))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-union</a></span></span><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a set of the same type as <span class="RktVar">st0</span> that includes the elements from
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<span class="RktVar">st0</span> and all of the <span class="RktVar">st</span>s.</div></p><p>If <span class="RktVar">st0</span> is a list, each <span class="RktVar">st</span> must also be a list. This
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operation runs on lists in time proportional to the total size of the
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<span class="RktVar">st</span>s times the size of the result.</p><p>If <span class="RktVar">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
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<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>,
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<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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
total size of all of the sets except the largest immutable set.</p><p>At least one set must be provided to <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValLink" data-pltdoc="x">set-union</a></span> to determine the type
|
|
of the resulting set (list, hash set, etc.). If there is a case where
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValLink" data-pltdoc="x">set-union</a></span> may be applied to zero arguments, instead pass an empty set
|
|
of the intended type as the first argument.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span> and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValLink" data-pltdoc="x">set-union</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(set)</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValLink" data-pltdoc="x">set-union</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteq%29%29" class="RktValLink" data-pltdoc="x">seteq</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(seteq)</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValLink" data-pltdoc="x">set-union</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(set 1 2 3)</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValLink" data-pltdoc="x">set-union</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list%29%29" class="RktValLink" data-pltdoc="x">list</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list%29%29" class="RktValLink" data-pltdoc="x">list</a></span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(3 1 2)</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%29%29" class="RktValLink" data-pltdoc="x">set-union</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteq%29%29" class="RktValLink" data-pltdoc="x">seteq</a></span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktErr">set-union: set arguments have incompatible equivalence</span></p></td></tr><tr><td><p><span class="RktErr">predicates</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace"> </span><span class="RktErr">first set: (set 1 2)</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace"> </span><span class="RktErr">incompatible set: (seteq 2 3)</span></p></td></tr><tr><td><span class="RktCmt">;</span><span class="RktCmt"> </span><span class="RktCmt">Sets of different types cannot be unioned</span></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><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/set..rkt)._set-union!))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-union%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-union!</a></span></span><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Adds the elements from all of the <span class="RktVar">st</span>s to <span class="RktVar">st0</span>.</div></p><p>If <span class="RktVar">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
|
|
<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
total size of the <span class="RktVar">st</span>s.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%21%29%29" class="RktValLink" data-pltdoc="x">set-add!</a></span> and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span>.</p><p>For <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>, see also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a>
|
|
for hash tables, which applies to
|
|
hash sets.</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/set..rkt)._set-intersect))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-intersect%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-intersect</a></span></span><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a set of the same type as <span class="RktVar">st0</span> that includes the elements from
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<span class="RktVar">st0</span> that are also contained by all of the <span class="RktVar">st</span>s.</div></p><p>If <span class="RktVar">st0</span> is a list, each <span class="RktVar">st</span> must also be a list. This
|
|
operation runs on lists in time proportional to the total size of the
|
|
<span class="RktVar">st</span>s times the size of <span class="RktVar">st0</span>.</p><p>If <span class="RktVar">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
|
|
<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
size of the smallest immutable set.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> either <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span> or
|
|
both <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%29%29" class="RktValLink" data-pltdoc="x">set-clear</a></span> and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span>, and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._set-intersect!))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-intersect%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-intersect!</a></span></span><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Removes every element from <span class="RktVar">st0</span> that is not contained by all of the
|
|
<span class="RktVar">st</span>s.</div></p><p>If <span class="RktVar">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
|
|
<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
size of <span class="RktVar">st0</span>.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span> and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span>.</p><p>For <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>, see also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a>
|
|
for hash tables, which applies to
|
|
hash sets.</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/set..rkt)._set-subtract))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-subtract%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-subtract</a></span></span><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a set of the same type as <span class="RktVar">st0</span> that includes the elements from
|
|
<span class="RktVar">st0</span> that are not contained by any of the <span class="RktVar">st</span>s.</div></p><p>If <span class="RktVar">st0</span> is a list, each <span class="RktVar">st</span> must also be a list. This
|
|
operation runs on lists in time proportional to the total size of the
|
|
<span class="RktVar">st</span>s times the size of <span class="RktVar">st0</span>.</p><p>If <span class="RktVar">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
|
|
<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>,
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|
<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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
size of <span class="RktVar">st0</span>.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> either <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span> or
|
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both <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%29%29" class="RktValLink" data-pltdoc="x">set-clear</a></span> and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span>, and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._set-subtract!))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-subtract%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-subtract!</a></span></span><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Removes every element from <span class="RktVar">st0</span> that is contained by any of the
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<span class="RktVar">st</span>s.</div></p><p>If <span class="RktVar">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
|
|
<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
size of <span class="RktVar">st0</span>.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span> and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span>.</p><p>For <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>, see also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a>
|
|
for hash tables, which applies to
|
|
hash sets.</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/set..rkt)._set-symmetric-difference))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-symmetric-difference%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-symmetric-difference</a></span></span><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a set of the same type as <span class="RktVar">st0</span> that includes all of the
|
|
elements contained an odd number of times in <span class="RktVar">st0</span> and the
|
|
<span class="RktVar">st</span>s.</div></p><p>If <span class="RktVar">st0</span> is a list, each <span class="RktVar">st</span> must also be a list. This
|
|
operation runs on lists in time proportional to the total size of the
|
|
<span class="RktVar">st</span>s times the size of <span class="RktVar">st0</span>.</p><p>If <span class="RktVar">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
|
|
<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
total size of all of the sets except the largest immutable set.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span> or both <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%29%29" class="RktValLink" data-pltdoc="x">set-clear</a></span> and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span>, and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span>.</p><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-symmetric-difference%29%29" class="RktValLink" data-pltdoc="x">set-symmetric-difference</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(set 1 3)</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><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/set..rkt)._set-symmetric-difference!))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-symmetric-difference%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-symmetric-difference!</a></span></span><span class="hspace"> </span><span class="RktVar">st0</span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Adds and removes elements of <span class="RktVar">st0</span> so that it includes all of the
|
|
elements contained an odd number of times in the <span class="RktVar">st</span>s and the
|
|
original contents of <span class="RktVar">st0</span>.</div></p><p>If <span class="RktVar">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
|
|
<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
total size of the <span class="RktVar">st</span>s.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span> and <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</a></span>.</p><p>For <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash sets</span></a>, see also the <a href="hashtables.html#%28elem._%28caveat._concurrency%29%29" data-pltdoc="x">caveats concerning concurrent modification</a>
|
|
for hash tables, which applies to
|
|
hash sets.</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/set..rkt)._set~3d~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">set=?</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">st2</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st2</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">st</span> and <span class="RktVar">st2</span> contain the same
|
|
members; returns <span class="RktVal">#f</span> otherwise.</div></p><p>If <span class="RktSym">st0</span> is a list, each <span class="RktVar">st</span> must also be a list. This
|
|
operation runs on lists in time proportional to the size of <span class="RktVar">st</span> times
|
|
the size of <span class="RktVar">st2</span>.</p><p>If <span class="RktSym">st0</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, each <span class="RktVar">st</span> must also be a
|
|
<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>).
|
|
The mutability and key strength of the hash
|
|
sets may differ. This operation runs on hash sets in time proportional to the
|
|
size of <span class="RktVar">st</span> plus the size of <span class="RktVar">st2</span>.</p><p>Supported for any <span class="RktVar">st</span> and <span class="RktVar">st2</span> that both <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">support</span></a>
|
|
<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._subset~3f%29%29" class="RktValLink" data-pltdoc="x">subset?</a></span>; also supported for any if <span class="RktVar">st2</span> that <a href="struct-generics.html#%28tech._implemented._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">implements</span></a>
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValLink" data-pltdoc="x">set=?</a></span> regardless of <span class="RktVar">st</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">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValLink" data-pltdoc="x">set=?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list%29%29" class="RktValLink" data-pltdoc="x">list</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list%29%29" class="RktValLink" data-pltdoc="x">list</a></span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValLink" data-pltdoc="x">set=?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValLink" data-pltdoc="x">set=?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValLink" data-pltdoc="x">set=?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValLink" data-pltdoc="x">set=?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteq%29%29" class="RktValLink" data-pltdoc="x">seteq</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._mutable-seteq%29%29" class="RktValLink" data-pltdoc="x">mutable-seteq</a></span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValLink" data-pltdoc="x">set=?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteq%29%29" class="RktValLink" data-pltdoc="x">seteq</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._seteqv%29%29" class="RktValLink" data-pltdoc="x">seteqv</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktErr">set=?: set arguments have incompatible equivalence</span></p></td></tr><tr><td><p><span class="RktErr">predicates</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace"> </span><span class="RktErr">first set: (seteq 1 2)</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace"> </span><span class="RktErr">incompatible set: (seteqv 1 2)</span></p></td></tr><tr><td><span class="RktCmt">;</span><span class="RktCmt"> </span><span class="RktCmt">Sets of different types cannot be compared</span></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><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/set..rkt)._subset~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._subset~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">subset?</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">st2</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st2</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara"><a name="(idx._(gentag._191._(lib._scribblings/reference/reference..scrbl)))"></a>Returns <span class="RktVal">#t</span> if <span class="RktVar">st2</span> contains every member of <span class="RktVar">st</span>;
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returns <span class="RktVal">#f</span> otherwise.</div></p><p>If <span class="RktVar">st</span> is a list, then <span class="RktVar">st2</span> must also be a list. This
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operation runs on lists in time proportional to the size of <span class="RktVar">st</span> times
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the size of <span class="RktVar">st2</span>.</p><p>If <span class="RktVar">st</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, then <span class="RktVar">st2</span> must also be a
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<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>,
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<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>).
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The mutability and key strength of the hash
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sets may differ. This operation runs on hash sets in time proportional to the
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size of <span class="RktVar">st</span>.</p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._subset~3f%29%29" class="RktValLink" data-pltdoc="x">subset?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._subset~3f%29%29" class="RktValLink" data-pltdoc="x">subset?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._subset~3f%29%29" class="RktValLink" data-pltdoc="x">subset?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</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><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/set..rkt)._proper-subset~3f))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._proper-subset~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">proper-subset?</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">st2</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st2</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if <span class="RktVar">st2</span> contains every member of <span class="RktVar">st</span> and at
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least one additional element; returns <span class="RktVal">#f</span> otherwise.</div></p><p>If <span class="RktVar">st</span> is a list, then <span class="RktVar">st2</span> must also be a list. This
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operation runs on lists in time proportional to the size of <span class="RktVar">st</span> times
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the size of <span class="RktVar">st2</span>.</p><p>If <span class="RktVar">st</span> is a <a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a>, then <span class="RktVar">st2</span> must also be a
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<a href="sets.html#%28tech._hash._set%29" class="techoutside" data-pltdoc="x"><span class="techinside">hash set</span></a> that uses the same 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>,
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<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>).
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The mutability and key strength of the hash
|
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sets may differ. This operation runs on hash sets in time proportional to the
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size of <span class="RktVar">st</span> plus the size of <span class="RktVar">st2</span>.</p><p>Supported for any <span class="RktVar">st</span> and <span class="RktVar">st2</span> that both <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">support</span></a>
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._subset~3f%29%29" class="RktValLink" data-pltdoc="x">subset?</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="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._proper-subset~3f%29%29" class="RktValLink" data-pltdoc="x">proper-subset?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._proper-subset~3f%29%29" class="RktValLink" data-pltdoc="x">proper-subset?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._proper-subset~3f%29%29" class="RktValLink" data-pltdoc="x">proper-subset?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set%29%29" class="RktValLink" data-pltdoc="x">set</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">3</span><span class="RktPn">)</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"><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/set..rkt)._set-~3elist))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3elist%29%29" class="RktValDef RktValLink" data-pltdoc="x">set->list</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="pairs.html#%28def._%28%28quote._~23~25kernel%29._list~3f%29%29" class="RktValLink" data-pltdoc="x">list?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Produces a list containing the elements of <span class="RktVar">st</span>.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._set-map))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-map%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-map</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">proc</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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></table></blockquote></div><div class="SIntrapara">Applies the procedure <span class="RktVar">proc</span> to each element in
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<span class="RktVar">st</span> in an unspecified order, accumulating the results
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into a list.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._set-for-each))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-for-each%29%29" class="RktValDef RktValLink" data-pltdoc="x">set-for-each</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span><span class="RktVar">proc</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </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"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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></table></blockquote></div><div class="SIntrapara">Applies <span class="RktVar">proc</span> to each element in <span class="RktVar">st</span> (for the
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side-effects of <span class="RktVar">proc</span>) in an unspecified order.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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/set..rkt)._in-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._in-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">in-set</a></span></span><span class="hspace"> </span><span class="RktVar">st</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._sequence~3f%29%29" class="RktValLink" data-pltdoc="x">sequence?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Explicitly converts a set to a sequence for use with <span class="RktSym"><a href="for.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._for%29%29" class="RktStxLink" data-pltdoc="x">for</a></span> and
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other forms.</div></p><p>Supported for any <span class="RktVar">st</span> that <a href="struct-generics.html#%28tech._supported._generic._method%29" class="techoutside" data-pltdoc="x"><span class="techinside">supports</span></a> <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-~3estream%29%29" class="RktValLink" data-pltdoc="x">set->stream</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><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._racket/set..rkt)._impersonate-hash-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._impersonate-hash-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">impersonate-hash-set</a></span></span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">st</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">inject-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">add-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">shrink-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">extract-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span><span class="RktOpt">[</span></td><td valign="top"><span class="RktVar">clear-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">equal-key-proc</span><span class="RktOpt">]</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">prop</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">prop-val</span><span class="hspace"> </span><span class="RktMeta">...</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktMeta">...</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace"> </span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktSym"><a href="chaperones.html#%28def._%28%28quote._~23~25kernel%29._impersonator~3f%29%29" class="RktValLink" data-pltdoc="x">impersonator?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">inject-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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"> </span><span class="RktVar">add-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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"> </span><span class="RktVar">shrink-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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"> </span><span class="RktVar">extract-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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"> </span><span class="RktVar">clear-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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><span class="RktPn">)</span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">#f</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">equal-key-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">#f</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">prop</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="chaperones.html#%28def._%28%28quote._~23~25kernel%29._impersonator-property~3f%29%29" class="RktValLink" data-pltdoc="x">impersonator-property?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">prop-val</span><span class="hspace"> </span>:<span class="hspace"> </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">Impersonates <span class="RktVar">st</span>, redirecting various set operations via the given procedures.</div></p><p>The <span class="RktVar">inject-proc</span> procedure
|
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is called whenever an element is temporarily put into the set for the purposes
|
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of comparing it with other elements that may already be in the set. For example,
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when evaluating <span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span><span class="stt"> </span><span class="RktSym">s</span><span class="stt"> </span><span class="RktSym">e</span><span class="RktPn">)</span>, <span class="RktSym">e</span> will be passed to the
|
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<span class="RktVar">inject-proc</span> before comparing it with other elements of <span class="RktSym">s</span>.</p><p>The <span class="RktVar">add-proc</span> procedure is called when adding an element to a set, e.g.,
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via <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%29%29" class="RktValLink" data-pltdoc="x">set-add</a></span> or <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-add%21%29%29" class="RktValLink" data-pltdoc="x">set-add!</a></span>. The result of the <span class="RktVar">add-proc</span> is
|
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stored in the set.</p><p>The <span class="RktVar">shrink-proc</span> procedure is called when building a new set with
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one fewer element. For example, when evaluating <span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span><span class="stt"> </span><span class="RktSym">s</span><span class="stt"> </span><span class="RktSym">e</span><span class="RktPn">)</span>
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or <span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span><span class="stt"> </span><span class="RktSym">s</span><span class="stt"> </span><span class="RktSym">e</span><span class="RktPn">)</span>,
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an element is removed from a set, e.g.,
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via <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span> or <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span>. The result of the <span class="RktVar">shrink-proc</span>
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is the element actually removed from the set.</p><p>The <span class="RktVar">extract-proc</span> procedure is called when an element is pulled out of
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a set, e.g., by <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-first%29%29" class="RktValLink" data-pltdoc="x">set-first</a></span>. The result of the <span class="RktVar">extract-proc</span> is
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the element actually produced by from the set.</p><p>The <span class="RktVar">clear-proc</span> is called by <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%29%29" class="RktValLink" data-pltdoc="x">set-clear</a></span> and <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-clear%21%29%29" class="RktValLink" data-pltdoc="x">set-clear!</a></span>
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and if it returns (as opposed to escaping, perhaps via raising an exception),
|
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the clearing operation is permitted. Its result is ignored. If <span class="RktVar">clear-proc</span>
|
|
is <span class="RktVal">#f</span>, then clearing is done element by element (via calls into the other
|
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supplied procedures).</p><p>The <span class="RktVar">equal-key-proc</span> is called when an element’s hash code is needed of when an
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element is supplied to the underlying equality in the set. The result of
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<span class="RktVar">equal-key-proc</span> is used when computing the hash or comparing for equality.</p><p>If any of the <span class="RktVar">inject-proc</span>, <span class="RktVar">add-proc</span>, <span class="RktVar">shrink-proc</span>, or
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<span class="RktVar">extract-proc</span> arguments are <span class="RktVal">#f</span>, then they all must be <span class="RktVal">#f</span>,
|
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the <span class="RktVar">clear-proc</span> and <span class="RktVar">equal-key-proc</span> must also be <span class="RktVal">#f</span>,
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and there must be at least one property supplied.</p><p>Pairs of <span class="RktVar">prop</span> and <span class="RktVar">prop-val</span> (the number of arguments to
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<span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._impersonate-hash-set%29%29" class="RktValLink" data-pltdoc="x">impersonate-hash-set</a></span> must be odd) add <a href="chaperones.html#%28tech._impersonator._property%29" class="techoutside" data-pltdoc="x"><span class="techinside">impersonator properties</span></a> or
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override impersonator property values of <span class="RktVar">st</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><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._racket/set..rkt)._chaperone-hash-set))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._chaperone-hash-set%29%29" class="RktValDef RktValLink" data-pltdoc="x">chaperone-hash-set</a></span></span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">st</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">inject-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">add-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">shrink-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">extract-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span><span class="RktOpt">[</span></td><td valign="top"><span class="RktVar">clear-proc</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">equal-key-proc</span><span class="RktOpt">]</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">prop</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">prop-val</span><span class="hspace"> </span><span class="RktMeta">...</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktMeta">...</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace"> </span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace"> </span>→<span class="hspace"> </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"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktSym"><a href="chaperones.html#%28def._%28%28quote._~23~25kernel%29._chaperone~3f%29%29" class="RktValLink" data-pltdoc="x">chaperone?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">st</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-mutable~3f%29%29" class="RktValLink" data-pltdoc="x">set-mutable?</a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-weak~3f%29%29" class="RktValLink" data-pltdoc="x">set-weak?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">inject-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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"> </span><span class="RktVar">add-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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"> </span><span class="RktVar">shrink-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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"> </span><span class="RktVar">extract-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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"> </span><span class="RktVar">clear-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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><span class="RktPn">)</span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">#f</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">equal-key-proc</span><span class="hspace"> </span>:<span class="hspace"> </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"> </span><span class="RktVal">#f</span><span class="hspace"> </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">-></span></a></span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </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"> </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><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">#f</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">prop</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="chaperones.html#%28def._%28%28quote._~23~25kernel%29._impersonator-property~3f%29%29" class="RktValLink" data-pltdoc="x">impersonator-property?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">prop-val</span><span class="hspace"> </span>:<span class="hspace"> </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">Chaperones <span class="RktVar">st</span>. Like <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._impersonate-hash-set%29%29" class="RktValLink" data-pltdoc="x">impersonate-hash-set</a></span> but with
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the constraints that the results of the <span class="RktVar">inject-proc</span>,
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<span class="RktVar">add-proc</span>, <span class="RktVar">shrink-proc</span>, <span class="RktVar">extract-proc</span>, and
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<span class="RktVar">equal-key-proc</span> must be
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<span class="RktSym"><a href="chaperones.html#%28def._%28%28quote._~23~25kernel%29._chaperone-of~3f%29%29" class="RktValLink" data-pltdoc="x">chaperone-of?</a></span> their second arguments. Also, the input
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may be an <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> set.</div></p><h5 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""Custom_Hash_Sets"">4.18.4<tt> </tt><a name="(part._.Custom_.Hash_.Sets)"></a>Custom Hash Sets</h5><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>syntax</p></div></div><table cellspacing="0" cellpadding="0" class="RktBlk RForeground"><tr><td><span class="RktPn">(</span><a name="(form._((lib._racket/set..rkt)._define-custom-set-types))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._define-custom-set-types%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">define-custom-set-types</a></span></span><span class="hspace"> </span><span class="RktVar">name</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">optional-predicate</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">comparison-expr</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">optional-hash-functions</span><span class="RktPn">)</span></td></tr></table></blockquote></td></tr><tr><td><span class="stt"> </span></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="specgrammar"><tr><td align="right" valign="baseline"><span class="RktVar">optional-predicate</span></td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="center" valign="baseline">=</td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td></td></tr></table></td></tr><tr><td align="right" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="center" valign="baseline">|</td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="RktPn">#:elem?</span><span class="hspace"> </span><span class="RktVar">predicate-expr</span></td></tr><tr><td align="right" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="center" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="stt"> </span></td></tr><tr><td align="right" valign="baseline"><span class="RktVar">optional-hash-functions</span></td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="center" valign="baseline">=</td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td></td></tr></table></td></tr><tr><td align="right" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="center" valign="baseline">|</td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="RktVar">hash1-expr</span></td></tr><tr><td align="right" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="center" valign="baseline">|</td><td align="left" valign="baseline"><span class="stt"> </span></td><td align="left" valign="baseline"><span class="RktVar">hash1-expr</span><span class="hspace"> </span><span class="RktVar">hash2-expr</span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Creates a new hash set type based on the given comparison <span class="RktVar">comparison-expr</span>,
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hash functions <span class="RktVar">hash1-expr</span> and <span class="RktVar">hash2-expr</span>, and element
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predicate <span class="RktVar">predicate-expr</span>; the interfaces for these functions are the
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same as in <span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._make-custom-set-types%29%29" class="RktValLink" data-pltdoc="x">make-custom-set-types</a></span>. The new set type has three
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variants: immutable, mutable with strongly-held elements, and mutable with
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weakly-held elements.</div></p><p>Defines seven names:</p><ul><li><p><span class="RktVar">name</span><span class="RktSym">?</span> recognizes instances of the new type,</p></li><li><p><span class="RktSym">immutable-</span><span class="RktVar">name</span><span class="RktSym">?</span> recognizes
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immutable instances of the new type,</p></li><li><p><span class="RktSym">mutable-</span><span class="RktVar">name</span><span class="RktSym">?</span> recognizes
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mutable instances of the new type with strongly-held elements,</p></li><li><p><span class="RktSym">weak-</span><span class="RktVar">name</span><span class="RktSym">?</span> recognizes
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mutable instances of the new type with weakly-held elements,</p></li><li><p><span class="RktSym">make-immutable-</span><span class="RktVar">name</span> constructs
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immutable instances of the new type,</p></li><li><p><span class="RktSym">make-mutable-</span><span class="RktVar">name</span> constructs
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mutable instances of the new type with strongly-held elements, and</p></li><li><p><span class="RktSym">make-weak-</span><span class="RktVar">name</span> constructs
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mutable instances of the new type with weakly-held elements.</p></li></ul><p>The constructors all accept a stream as an optional argument, providing
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initial elements.</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">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._define-custom-set-types%29%29" class="RktStxLink" data-pltdoc="x">define-custom-set-types</a></span><span class="hspace"> </span><span class="RktSym">string-set</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">#:elem?</span><span class="hspace"> </span><span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string~3f%29%29" class="RktValLink" data-pltdoc="x">string?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string~3d~3f%29%29" class="RktValLink" data-pltdoc="x">string=?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktSym"><a href="strings.html#%28def._%28%28quote._~23~25kernel%29._string-length%29%29" class="RktValLink" data-pltdoc="x">string-length</a></span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </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"> </span><span class="RktSym">imm</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">make-immutable-string-set</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">"apple"</span><span class="hspace"> </span><span class="RktVal">"banana"</span><span class="RktVal">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </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"> </span><span class="RktSym">mut</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">make-mutable-string-set</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">"apple"</span><span class="hspace"> </span><span class="RktVal">"banana"</span><span class="RktVal">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym">imm</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym">mut</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3f%29%29" class="RktValLink" data-pltdoc="x">set?</a></span><span class="hspace"> </span><span class="RktSym">imm</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="hspace"> </span><span class="RktSym">imm</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym">string-set?</span><span class="hspace"> </span><span class="RktSym">imm</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym">string-set?</span><span class="hspace"> </span><span class="RktSym">mut</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym">immutable-string-set?</span><span class="hspace"> </span><span class="RktSym">imm</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym">immutable-string-set?</span><span class="hspace"> </span><span class="RktSym">mut</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span><span class="hspace"> </span><span class="RktSym">imm</span><span class="hspace"> </span><span class="RktVal">"apple"</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span><span class="hspace"> </span><span class="RktSym">mut</span><span class="hspace"> </span><span class="RktVal">"banana"</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </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"> </span><span class="RktSym">imm</span><span class="hspace"> </span><span class="RktSym">mut</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set~3d~3f%29%29" class="RktValLink" data-pltdoc="x">set=?</a></span><span class="hspace"> </span><span class="RktSym">imm</span><span class="hspace"> </span><span class="RktSym">mut</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%21%29%29" class="RktValLink" data-pltdoc="x">set-remove!</a></span><span class="hspace"> </span><span class="RktSym">mut</span><span class="hspace"> </span><span class="RktVal">"banana"</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-member~3f%29%29" class="RktValLink" data-pltdoc="x">set-member?</a></span><span class="hspace"> </span><span class="RktSym">mut</span><span class="hspace"> </span><span class="RktVal">"banana"</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </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"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._set-remove%29%29" class="RktValLink" data-pltdoc="x">set-remove</a></span><span class="hspace"> </span><span class="RktSym">imm</span><span class="hspace"> </span><span class="RktVal">"apple"</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktVal">"banana"</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">make-immutable-string-set</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><span class="RktRes">#t</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/set..rkt)._make-custom-set-types))"></a><span title="Provided from: racket/set, racket | Package: base"><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._make-custom-set-types%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-custom-set-types</a></span></span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">eql?</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span><span class="RktOpt">[</span></td><td valign="top"><span class="RktVar">hash1</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">hash2</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktPn">#:elem?</span><span class="hspace"> </span><span class="RktVar">elem?</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktPn">#:name</span><span class="hspace"> </span><span class="RktVar">name</span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktPn">#:for</span><span class="hspace"> </span><span class="RktVar">who</span><span class="RktOpt">]</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace"> </span></td></tr></table></blockquote></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="prototype"><tr><td valign="top"><span class="hspace"> </span></td><td valign="top">→</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><table cellspacing="0" cellpadding="0"><tr><td><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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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><span class="RktPn">)</span></td></tr><tr><td><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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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><span class="RktPn">)</span></td></tr><tr><td><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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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><span class="RktPn">)</span></td></tr><tr><td><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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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><span class="RktPn">)</span></td></tr><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%2A%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-></span>*</a></span><span class="hspace"> </span><span class="RktPn">[</span><span class="RktPn">]</span><span class="hspace"> </span><span class="RktPn">[</span><span class="RktSym"><a href="streams.html#%28def._%28%28lib._racket%2Fstream..rkt%29._stream~3f%29%29" class="RktValLink" data-pltdoc="x">stream?</a></span><span class="RktPn">]</span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%2A%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-></span>*</a></span><span class="hspace"> </span><span class="RktPn">[</span><span class="RktPn">]</span><span class="hspace"> </span><span class="RktPn">[</span><span class="RktSym"><a href="streams.html#%28def._%28%28lib._racket%2Fstream..rkt%29._stream~3f%29%29" class="RktValLink" data-pltdoc="x">stream?</a></span><span class="RktPn">]</span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="function-contracts.html#%28form._%28%28lib._racket%2Fcontract%2Fbase..rkt%29._-~3e%2A%29%29" class="RktStxLink" data-pltdoc="x"><span class="nobreak">-></span>*</a></span><span class="hspace"> </span><span class="RktPn">[</span><span class="RktPn">]</span><span class="hspace"> </span><span class="RktPn">[</span><span class="RktSym"><a href="streams.html#%28def._%28%28lib._racket%2Fstream..rkt%29._stream~3f%29%29" class="RktValLink" data-pltdoc="x">stream?</a></span><span class="RktPn">]</span><span class="hspace"> </span><span class="RktSym"><a href="sets.html#%28def._%28%28lib._racket%2Fset..rkt%29._generic-set~3f%29%29" class="RktValLink" data-pltdoc="x">generic-set?</a></span><span class="RktPn">)</span></td></tr></table></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">eql?</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">:</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><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"> </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"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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"> </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"> </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"> </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"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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="hspace"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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></table></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">hash1</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">:</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><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"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-integer?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </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"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-integer?</a></span><span class="RktPn">)</span><span class="hspace"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-integer?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">=</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="procedures.html#%28def._%28%28lib._racket%2Ffunction..rkt%29._const%29%29" class="RktValLink" data-pltdoc="x">const</a></span><span class="hspace"> </span><span class="RktVal">1</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"> </span></td><td valign="top"><span class="RktVar">hash2</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">:</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><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"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-integer?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </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"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-integer?</a></span><span class="RktPn">)</span><span class="hspace"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-integer?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">=</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="procedures.html#%28def._%28%28lib._racket%2Ffunction..rkt%29._const%29%29" class="RktValLink" data-pltdoc="x">const</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">elem?</span><span class="hspace"> </span>:<span class="hspace"> </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"> </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">-></span></a></span><span class="RktPn"> .</span><span class="hspace"> </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><span class="RktPn">)</span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="procedures.html#%28def._%28%28lib._racket%2Ffunction..rkt%29._const%29%29" class="RktValLink" data-pltdoc="x">const</a></span><span class="hspace"> </span><span class="RktVal">#true</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">name</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="symbols.html#%28def._%28%28quote._~23~25kernel%29._symbol~3f%29%29" class="RktValLink" data-pltdoc="x">symbol?</a></span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">custom-set</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">who</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="symbols.html#%28def._%28%28quote._~23~25kernel%29._symbol~3f%29%29" class="RktValLink" data-pltdoc="x">symbol?</a></span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">make-custom-set-types</span></td></tr></table></blockquote></div><div class="SIntrapara">Creates a new set type based on the given comparison function <span class="RktVar">eql?</span>,
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hash functions <span class="RktVar">hash1</span> and <span class="RktVar">hash2</span>, and predicate <span class="RktVar">elem?</span>.
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The new set type has variants that are immutable, mutable with strongly-held
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elements, and mutable with weakly-held elements. The given <span class="RktVar">name</span> is
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used when printing instances of the new set type, and the symbol <span class="RktVar">who</span>
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is used for reporting errors.</div></p><p>The comparison function <span class="RktVar">eql?</span> may accept 2 or 3 arguments. If it
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accepts 2 arguments, it given two elements to compare them. If it accepts 3
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arguments and does not accept 2 arguments, it is also given a recursive
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comparison function that handles data cycles when comparing sub-parts of the
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elements.</p><p>The hash functions <span class="RktVar">hash1</span> and <span class="RktVar">hash2</span> may accept 1 or 2
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arguments. If either hash function accepts 1 argument, it is applied to a
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element to compute the corresponding hash value. If either hash function
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accepts 2 arguments and does not accept 1 argument, it is also given a
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recursive hash function that handles data cycles when computing hash values of
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sub-parts of the elements.</p><p>The predicate <span class="RktVar">elem?</span> must accept 1 argument and is used to recognize
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valid elements for the new set type.</p><p>Produces seven values:</p><ul><li><p>a predicate recognizing all instances of the new set type,</p></li><li><p>a predicate recognizing weak instances,</p></li><li><p>a predicate recognizing mutable instances,</p></li><li><p>a predicate recognizing immutable instances,</p></li><li><p>a constructor for weak instances,</p></li><li><p>a constructor for mutable instances, and</p></li><li><p>a constructor for immutable instances.</p></li></ul><p>See <span class="RktSym"><a href="sets.html#%28form._%28%28lib._racket%2Fset..rkt%29._define-custom-set-types%29%29" class="RktStxLink" data-pltdoc="x">define-custom-set-types</a></span> for an example.</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, "8.6", "../");"/></form> <a href="https://docs.racket-lang.org/index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("8.6");">top</a><span class="tocsettoggle"> <a href="javascript:void(0);" title="show/hide table of contents" onclick="TocsetToggle();">contents</a></span></span><span class="navright"> <a href="dicts.html" title="backward to "4.17 Dictionaries"" data-pltdoc="x">← prev</a> <a href="data.html" title="up to "4 Datatypes"" data-pltdoc="x">up</a> <a href="procedures.html" title="forward to "4.19 Procedures"" data-pltdoc="x">next →</a></span> </div></div></div><div id="contextindicator"> </div></body></html> |