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<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"/><title>Unstable Flonums: May Change Without Warning</title><link rel="stylesheet" type="text/css" href="../scribble.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;">&bull;</td><td></td><td><a href="" class="tocviewselflink" data-pltdoc="x">Unstable Flonums:<span class="mywbr"> &nbsp;</span> May Change Without Warning</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"></span><a href="#%28part._top%29" class="tocsubseclink" data-pltdoc="x">Unstable Flonums:<span class="mywbr"> &nbsp;</span> May Change Without Warning</a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flonum-<wbr></wbr>&gt;bit-<wbr></wbr>field</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._bit-field-~3eflonum%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">bit-<wbr></wbr>field-<wbr></wbr>&gt;flonum</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flonum-<wbr></wbr>&gt;ordinal</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._ordinal-~3eflonum%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">ordinal-<wbr></wbr>&gt;flonum</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonums-between%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flonums-<wbr></wbr>between</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flstep</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flnext%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flnext</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flprev%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flprev</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._-max..0%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>m</span>ax.0</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._-min..0%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>m</span>in.0</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._%2Bmin..0%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">+<span class="mywbr"> &nbsp;</span>min.0</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._%2Bmax..0%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">+<span class="mywbr"> &nbsp;</span>max.0</span></span></a></td></tr></table></div></div><div class="maincolumn"><div class="main"><div class="versionbox"><span class="version">6.1</span></div><div class="navsettop"><span class="navleft"><form class="searchform"><input class="searchbox" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, &quot;6.1&quot;, &quot;../&quot;);" onfocus="this.style.color=&quot;black&quot;; this.style.textAlign=&quot;left&quot;; if (this.value == &quot;...search manuals...&quot;) this.value=&quot;&quot;;" onblur="if (this.value.match(/^ *$/)) { this.style.color=&quot;#888&quot;; this.style.textAlign=&quot;center&quot;; this.value=&quot;...search manuals...&quot;; }"/></form>&nbsp;&nbsp;<a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot(&quot;6.1&quot;);">top</a></span><span class="navright">&nbsp;&nbsp;<span class="nonavigation">&larr; prev</span>&nbsp;&nbsp;<a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot(&quot;6.1&quot;);">up</a>&nbsp;&nbsp;<span class="nonavigation">next &rarr;</span></span>&nbsp;</div><h2 x-source-module="(lib &quot;unstable/unstable-flonum.scrbl&quot;)" x-part-tag="&quot;top&quot;"><a name="(part._top)"></a><a name="(part._flonum)"></a><a name="(mod-path._unstable/flonum)"></a>Unstable Flonums: May Change Without Warning</h2><div class="SAuthorListBox"><span class="SAuthorList"><p class="author">Neil Toronto &lt;<a href="mailto:ntoronto@racket-lang.org">ntoronto@racket-lang.org</a>&gt;</p></span></div><p><div class="SIntrapara"></div><div class="SIntrapara">This library is <span style="font-style: italic">unstable</span>;
compatibility will not be maintained.
See <a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=unstable&amp;rel=index.html&amp;version=6.1" class="Sq" data-pltdoc="x">Unstable: May Change Without Warning</a>
for more information.</div></p><p><table cellspacing="0" cellpadding="0" class="defmodule"><tr><td align="left"><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=require.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._require%2529%2529&amp;version=6.1" class="RktStxLink Sq" data-pltdoc="x">require</a></span><span class="stt"> </span><a href="" class="RktModLink" data-pltdoc="x"><span class="RktSym">unstable/flonum</span></a><span class="RktPn">)</span></td><td align="right"><span class="RpackageSpec"><span class="Smaller">&nbsp;package:</span> <span class="stt">unstable-flonum-lib</span></span></td></tr></table></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._unstable/flonum..rkt)._flonum-~3ebit-field))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValDef RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._integer-in%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">integer-in</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._expt%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">expt</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">64</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the bits comprising <span class="RktVar">x</span> as an integer.
A convenient shortcut for composing <span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._integer-bytes-%7E3einteger%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">integer-bytes-&gt;integer</a></span> with <span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real-%7E3efloating-point-bytes%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">real-&gt;floating-point-bytes</a></span>.
</div><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><p>Examples:</p></td></tr><tr><td><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._number-%7E3estring%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">number-&gt;string</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">16</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"fff0000000000000"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._number-%7E3estring%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">number-&gt;string</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span><span class="hspace">&nbsp;</span><span class="RktVal">+inf.0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">16</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"7ff0000000000000"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._number-%7E3estring%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">number-&gt;string</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-0</span>.0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">16</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"8000000000000000"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._number-%7E3estring%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">number-&gt;string</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">16</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"0"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._number-%7E3estring%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">number-&gt;string</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span>.0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">16</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"bff0000000000000"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._number-%7E3estring%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">number-&gt;string</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1.0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">16</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"3ff0000000000000"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._number-%7E3estring%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">number-&gt;string</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span><span class="hspace">&nbsp;</span><span class="RktVal">+nan.0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">16</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"7ff8000000000000"</span></p></td></tr></table></blockquote></td></tr></table></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._unstable/flonum..rkt)._bit-field-~3eflonum))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._bit-field-~3eflonum%29%29" class="RktValDef RktValLink" data-pltdoc="x">bit-field-&gt;flonum</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">i</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">i</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._integer-in%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">integer-in</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._expt%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">expt</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">64</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">The inverse of <span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3ebit-field%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;bit-field</a></span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._unstable/flonum..rkt)._flonum-~3eordinal))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValDef RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._integer-in%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">integer-in</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._expt%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">expt</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">63</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._expt%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">expt</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">63</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the signed ordinal index of <span class="RktVar">x</span> in a total order over flonums.</div></p><p><div class="SIntrapara">When inputs are not <span class="RktVal">+nan.0</span>, this function is monotone and symmetric;
i.e. if <span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=flonums.html%23%2528def._%2528%2528lib._racket%252Fflonum..rkt%2529._fl%7E3c%7E3d%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">fl&lt;=</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="stt"> </span><span class="RktSym">y</span><span class="RktPn">)</span> then <span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%7E3c%7E3d%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">&lt;=</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="stt"> </span><span class="RktSym">y</span><span class="RktPn">)</span><span class="RktPn">)</span>,
and <span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%7E3d%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">=</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="stt"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span>.
</div><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><p>Examples:</p></td></tr><tr><td><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-9218868437227405312</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="hspace">&nbsp;</span><span class="RktVal">+inf.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">9218868437227405312</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-0</span>.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span>.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-4607182418800017408</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">4607182418800017408</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="hspace">&nbsp;</span><span class="RktVal">+nan.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">9221120237041090560</span></p></td></tr></table></blockquote></td></tr></table></div><div class="SIntrapara">These properties mean that <span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span> does not distinguish <span class="RktVal"><span class="nobreak">-0</span>.0</span> and <span class="RktVal">0.0</span>.</div></p><p><div class="SIntrapara">The following plot demonstrates how the density of floating-point numbers decreases with magnitude:
</div><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><p>Example:</p></td></tr><tr><td><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=parameters.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fmore-scheme..rkt%2529._parameterize%2529%2529&amp;version=6.1" class="RktStxLink Sq" data-pltdoc="x">parameterize</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktPn">[</span><span class="RktSym">y-axis-ticks?</span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">]</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym">plot</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._list%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">list</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">function</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=procedures.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Flist..rkt%2529._compose%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">compose</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-%7E3einexact%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">exact-&gt;inexact</a></span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">1/4</span><span class="hspace">&nbsp;</span><span class="RktVal">8</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym">y-axis</span><span class="hspace">&nbsp;</span><span class="RktVal">1/2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">y-axis</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">y-axis</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">y-axis</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img src="pict.png" alt="image" width="400.0" height="400.0"/></p></td></tr></table></blockquote></td></tr></table></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._unstable/flonum..rkt)._ordinal-~3eflonum))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._ordinal-~3eflonum%29%29" class="RktValDef RktValLink" data-pltdoc="x">ordinal-&gt;flonum</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">i</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">i</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._integer-in%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">integer-in</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._expt%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">expt</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">63</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._expt%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">expt</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">63</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">The inverse of <span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._unstable/flonum..rkt)._flonums-between))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonums-between%29%29" class="RktValDef RktValLink" data-pltdoc="x">flonums-between</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span><span class="RktVar">y</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">y</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the number of flonums between <span class="RktVar">x</span> and <span class="RktVar">y</span>, excluding one endpoint.
Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._-%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="stt"> </span><span class="RktVar">y</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="RktPn">)</span>.
</div><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><p>Examples:</p></td></tr><tr><td><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonums-between%29%29" class="RktValLink" data-pltdoc="x">flonums-between</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.0</span><span class="hspace">&nbsp;</span><span class="RktVal">1.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">4607182418800017408</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonums-between%29%29" class="RktValLink" data-pltdoc="x">flonums-between</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1.0</span><span class="hspace">&nbsp;</span><span class="RktVal">2.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">4503599627370496</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonums-between%29%29" class="RktValLink" data-pltdoc="x">flonums-between</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2.0</span><span class="hspace">&nbsp;</span><span class="RktVal">3.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">2251799813685248</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonums-between%29%29" class="RktValLink" data-pltdoc="x">flonums-between</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1.0</span><span class="hspace">&nbsp;</span><span class="RktVal">+inf.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">4611686018427387904</span></p></td></tr></table></blockquote></td></tr></table></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._unstable/flonum..rkt)._flstep))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValDef RktValLink" data-pltdoc="x">flstep</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span><span class="RktVar">n</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">n</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the flonum <span class="RktVar">n</span> flonums away from <span class="RktVar">x</span>, according to <span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flonum-~3eordinal%29%29" class="RktValLink" data-pltdoc="x">flonum-&gt;ordinal</a></span>. If <span class="RktVar">x</span> is <span class="RktVal">+nan.0</span>, returns <span class="RktVal">+nan.0</span>.
</div><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><p>Examples:</p></td></tr><tr><td><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">4.9406564584125e-324</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">0.0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.0</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-4.9406564584125e-324</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktVal">+inf.0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">+inf.0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktVal">+inf.0</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">1.7976931348623157e+308</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-inf.0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-1.7976931348623157e+308</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="hspace">&nbsp;</span><span class="RktVal">+nan.0</span><span class="hspace">&nbsp;</span><span class="RktVal">1000</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">+nan.0</span></p></td></tr></table></blockquote></td></tr></table></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._unstable/flonum..rkt)._flnext))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flnext%29%29" class="RktValDef RktValLink" data-pltdoc="x">flnext</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="stt"> </span><span class="RktVal">1</span><span class="RktPn">)</span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._unstable/flonum..rkt)._flprev))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flprev%29%29" class="RktValDef RktValLink" data-pltdoc="x">flprev</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._flstep%29%29" class="RktValLink" data-pltdoc="x">flstep</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="stt"> </span><span class="RktVal"><span class="nobreak">-1</span></span><span class="RktPn">)</span>.</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>value</p></div></div><p class="RForeground"><a name="(def._((lib._unstable/flonum..rkt)._-max..0))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._-max..0%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-m</span>ax.0</a></span></span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></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>value</p></div></div><p class="RForeground"><a name="(def._((lib._unstable/flonum..rkt)._-min..0))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._-min..0%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-m</span>in.0</a></span></span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></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>value</p></div></div><p class="RForeground"><a name="(def._((lib._unstable/flonum..rkt)._+min..0))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._%2Bmin..0%29%29" class="RktValDef RktValLink" data-pltdoc="x">+min.0</a></span></span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></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>value</p></div></div><p class="RForeground"><a name="(def._((lib._unstable/flonum..rkt)._+max..0))"></a><span title="Provided from: unstable/flonum | Package: unstable-flonum-lib"><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._%2Bmax..0%29%29" class="RktValDef RktValLink" data-pltdoc="x">+max.0</a></span></span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._flonum%7E3f%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">The rational flonums with maximum and minimum magnitude.
</div><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><p>Examples:</p></td></tr><tr><td><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._list%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">list</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._-max..0%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-m</span>ax.0</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._%2Bmax..0%29%29" class="RktValLink" data-pltdoc="x">+max.0</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._-min..0%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-m</span>in.0</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._%2Bmin..0%29%29" class="RktValLink" data-pltdoc="x">+min.0</a></span><span class="RktPn">)</span></td></tr><tr><td><table cellspacing="0" cellpadding="0"><tr><td><p><span class="RktRes">'(-1.7976931348623157e+308</span></p></td></tr><tr><td><p><span class="RktRes"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktRes">1.7976931348623157e+308</span></p></td></tr><tr><td><p><span class="RktRes"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktRes">-4.9406564584125e-324</span></p></td></tr><tr><td><p><span class="RktRes"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktRes">4.9406564584125e-324)</span></p></td></tr></table></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym">plot</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">function</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._sqrt%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">sqrt</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.1/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252A%2529%2529&amp;version=6.1" class="RktValLink Sq" data-pltdoc="x">*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">20</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._unstable%2Fflonum..rkt%29._%2Bmin..0%29%29" class="RktValLink" data-pltdoc="x">+min.0</a></span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_2.png" alt="image" width="400.0" height="400.0"/></p></td></tr></table></blockquote></td></tr></table></div></p><div class="navsetbottom"><span class="navleft"><form class="searchform"><input class="searchbox" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, &quot;6.1&quot;, &quot;../&quot;);" onfocus="this.style.color=&quot;black&quot;; this.style.textAlign=&quot;left&quot;; if (this.value == &quot;...search manuals...&quot;) this.value=&quot;&quot;;" onblur="if (this.value.match(/^ *$/)) { this.style.color=&quot;#888&quot;; this.style.textAlign=&quot;center&quot;; this.value=&quot;...search manuals...&quot;; }"/></form>&nbsp;&nbsp;<a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot(&quot;6.1&quot;);">top</a></span><span class="navright">&nbsp;&nbsp;<span class="nonavigation">&larr; prev</span>&nbsp;&nbsp;<a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot(&quot;6.1&quot;);">up</a>&nbsp;&nbsp;<span class="nonavigation">next &rarr;</span></span>&nbsp;</div></div></div><div id="contextindicator">&nbsp;</div></body></html>