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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>7&nbsp;Contracts</title><link rel="stylesheet" type="text/css" href="../scribble.css" title="default"/><link rel="stylesheet" type="text/css" href="icons.css" title="default"/><link rel="stylesheet" type="text/css" href="../racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-style.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../doc-site.css" title="default"/><script type="text/javascript" src="../scribble-common.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../doc-site.js"></script><script type="text/javascript" src="../local-redirect/local-redirect.js"></script><script type="text/javascript" src="../local-redirect/local-user-redirect.js"></script><!--[if IE 6]><style type="text/css">.SIEHidden { overflow: hidden; }</style><![endif]--></head><body id="doc-racket-lang-org"><div class="tocset"><div class="tocview"><div class="tocviewlist tocviewlisttopspace"><div class="tocviewtitle"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,&quot;tocview_0&quot;);">&#9658;</a></td><td></td><td><a href="index.html" class="tocviewlink" data-pltdoc="x">The Racket Guide</a></td></tr></table></div><div class="tocviewsublisttop" style="display: none;" id="tocview_0"><table cellspacing="0" cellpadding="0"><tr><td align="right">1&nbsp;</td><td><a href="intro.html" class="tocviewlink" data-pltdoc="x">Welcome to Racket</a></td></tr><tr><td align="right">2&nbsp;</td><td><a href="to-scheme.html" class="tocviewlink" data-pltdoc="x">Racket Essentials</a></td></tr><tr><td align="right">3&nbsp;</td><td><a href="datatypes.html" class="tocviewlink" data-pltdoc="x">Built-<wbr></wbr>In Datatypes</a></td></tr><tr><td align="right">4&nbsp;</td><td><a href="scheme-forms.html" class="tocviewlink" data-pltdoc="x">Expressions and Definitions</a></td></tr><tr><td align="right">5&nbsp;</td><td><a href="define-struct.html" class="tocviewlink" data-pltdoc="x">Programmer-<wbr></wbr>Defined Datatypes</a></td></tr><tr><td align="right">6&nbsp;</td><td><a href="modules.html" class="tocviewlink" data-pltdoc="x">Modules</a></td></tr><tr><td align="right">7&nbsp;</td><td><a href="contracts.html" class="tocviewselflink" data-pltdoc="x">Contracts</a></td></tr><tr><td align="right">8&nbsp;</td><td><a href="i_o.html" class="tocviewlink" data-pltdoc="x">Input and Output</a></td></tr><tr><td align="right">9&nbsp;</td><td><a href="regexp.html" class="tocviewlink" data-pltdoc="x">Regular Expressions</a></td></tr><tr><td align="right">10&nbsp;</td><td><a href="control.html" class="tocviewlink" data-pltdoc="x">Exceptions and Control</a></td></tr><tr><td align="right">11&nbsp;</td><td><a href="for.html" class="tocviewlink" data-pltdoc="x">Iterations and Comprehensions</a></td></tr><tr><td align="right">12&nbsp;</td><td><a href="match.html" class="tocviewlink" data-pltdoc="x">Pattern Matching</a></td></tr><tr><td align="right">13&nbsp;</td><td><a href="classes.html" class="tocviewlink" data-pltdoc="x">Classes and Objects</a></td></tr><tr><td align="right">14&nbsp;</td><td><a href="units.html" class="tocviewlink" data-pltdoc="x">Units</a></td></tr><tr><td align="right">15&nbsp;</td><td><a href="reflection.html" class="tocviewlink" data-pltdoc="x">Reflection and Dynamic Evaluation</a></td></tr><tr><td align="right">16&nbsp;</td><td><a href="macros.html" class="tocviewlink" data-pltdoc="x">Macros</a></td></tr><tr><td align="right">17&nbsp;</td><td><a href="languages.html" class="tocviewlink" data-pltdoc="x">Creating Languages</a></td></tr><tr><td align="rig
contract system.</p><blockquote class="refpara"><blockquote class="refcolumn"><blockquote class="refcontent"><p><span class="imageleft"><img src="magnify.png" alt="+" width="24" height="24"/></span><a href="https://download.racket-lang.org/releases/8.6/doc/local-redirect/index.html?doc=reference&amp;rel=contracts.html&amp;version=8.6" class="Sq" data-pltdoc="x">Contracts</a> in <a href="https://download.racket-lang.org/releases/8.6/doc/local-redirect/index.html?doc=reference&amp;rel=index.html&amp;version=8.6" class="Sq" data-pltdoc="x">The Racket Reference</a> provides more on contracts.</p></blockquote></blockquote></blockquote><table cellspacing="0" cellpadding="0"><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-boundaries.html" class="toclink" data-pltdoc="x">7.1<span class="hspace">&nbsp;</span>Contracts and Boundaries</a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-boundaries.html#%28part._contracts-amount0%29" class="toclink" data-pltdoc="x">7.1.1<span class="hspace">&nbsp;</span>Contract Violations</a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-boundaries.html#%28part._.Experimenting_with_.Contracts_and_.Modules%29" class="toclink" data-pltdoc="x">7.1.2<span class="hspace">&nbsp;</span>Experimenting with Contracts and Modules</a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-boundaries.html#%28part._contracts-intro-nested%29" class="toclink" data-pltdoc="x">7.1.3<span class="hspace">&nbsp;</span>Experimenting with Nested Contract Boundaries</a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-func.html" class="toclink" data-pltdoc="x">7.2<span class="hspace">&nbsp;</span>Simple Contracts on Functions</a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-func.html#%28part._.Styles_of_-_%29" class="toclink" data-pltdoc="x">7.2.1<span class="hspace">&nbsp;</span>Styles of <span class="RktSym"><span class="RktStxLink"><span class="nobreak">-&gt;</span></span></span></a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-func.html#%28part._simple-nested%29" class="toclink" data-pltdoc="x">7.2.2<span class="hspace">&nbsp;</span>Using <span class="RktSym"><span class="RktStxLink">define/contract</span></span> and <span class="RktSym"><span class="RktStxLink"><span class="nobreak">-&gt;</span></span></span></a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-func.html#%28part._any_and_any_c%29" class="toclink" data-pltdoc="x">7.2.3<span class="hspace">&nbsp;</span><span class="RktSym"><span class="RktStxLink">any</span></span> and <span class="RktSym"><span class="RktValLink">any/c</span></span></a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-func.html#%28part._contracts-own%29" class="toclink" data-pltdoc="x">7.2.4<span class="hspace">&nbsp;</span>Rolling Your Own Contracts</a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-func.html#%28part._.Contracts_on_.Higher-order_.Functions%29" class="toclink" data-pltdoc="x">7.2.5<span class="hspace">&nbsp;</span>Contracts on Higher-order Functions</a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-func.html#%28part._contracts-flat-named-contracts%29" class="toclink" data-pltdoc="x">7.2.6<span class="hspace">&nbsp;</span>Contract Messages with &ldquo;???&rdquo;</a></p></td></tr><tr><td><p><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><a href="contract-func.html#%28part._contracts-dissecting-contract-errors%29" class="toclink" data-pltdoc="x">7.2.7<span class="hspace">&nbsp;</span>Dissecting a contract error message</a></p></td></tr><tr><td><p><span class="hspa