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<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"/><title>4.2.3 Flonums</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="icons.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"><span style="font-weight: bold">The Racket Reference</span></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: none;" id="tocview_1"><table cellspacing="0" cellpadding="0"><tr><td align="right">4.1 </td><td><a href="booleans.html" class="tocviewlink" data-pltdoc="x">Booleans and Equality</a></td></tr><tr><td align="right">4.2 </td><td><a href="numbers.html" class="tocviewselflink" data-pltdoc="x">Numbers</a></td></tr><tr><td align="right">4.3 </td><td><a href="strings.html" class="tocviewlink" data-pltdoc="x">Strings</a></td></tr><tr><td align="right">4.4 </td><td><a href="bytestrings.html" class="tocviewlink" data-pltdoc="x">Byte Strings</a></td></tr><tr><td align="right">4.5 </td><td><a href="characters.html" class="tocviewlink" data-pltdoc="x">Characters</a></td></tr><tr><td align="right">4.6 </td><td><a href="symbols.html" class="tocviewlink" data-pltdoc="x">Symbols</a></td></tr><tr><td align="right">4.7 </td><td><a href="regexp.html" class="tocviewlink" data-pltdoc="x">Regular Expressions</a></td></tr><tr><td align="right">4.8 </td><td><a href="keywords.html" class="tocviewlink" data-pltdoc="x">Keywords</a></td></tr><tr><td align="right">4.9 </td><td><a href="pairs.html" class="tocviewlink" data-pltdoc="x">Pairs and Lists</a></td></tr><tr><td align="right">4.10 </td><td><a href="mpairs.html" class="tocviewlink" data-pltdoc="x">Mutable Pairs and Lists</a></td></tr><tr><td align="right">4.11 </td><td><a href="vectors.html" class="tocviewlink" data-pltdoc="x">Vectors</a></td></tr><tr><td align="right">4.12 </td><td><a href="boxes.html" class="tocviewlink" data-pltdoc="x">Boxes</a></td></tr><tr><td align="right">4.13 </td><td><a href="hashtables.html" class="tocviewlink" data-pltdoc="x">Hash Tables</a></td></tr><tr><td align="right">4.14 </td><td><a href="sequences_streams.html" class="tocviewlink" data-pltdoc="x">Sequences and Streams</a></td></tr><tr><td align="right">4.15 </td><td><a href="dicts.html" class="tocviewlink" data-pltdoc="x">Dictionaries</a></td></tr><tr><td align="right">4.16 </td><td><a href="sets.html" class="tocviewlink" data-pltdoc="x">Sets</a></td></tr><tr><td align="right">4.17 </td><td><a href="procedures.html" class="tocviewlink" data-pltdoc="x">Procedures</a></td></tr><tr><td align="right">4.18 </td><td><a href="void.html" class="tocviewlink" data-pltdoc="x">Void</a></td></tr><tr><td align="right">4.19 </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>4.2 </td><td><a href="numbers.html" class="tocviewlink" data-pltdoc="x">Numbers</a></td></tr></table><div class="tocviewsublist" style="display: block;" id="tocview_2"><table cellspacing="0" cellpadding="0"><tr><td align="right">4.2.1 </td><td><a href="number-types.html" class="tocviewlink" data-pltdoc="x">Number Types</a></td></tr><tr><td align="right">4.2.2 </td><td><a href="generic-numbers.html" class="tocviewlink" data-pltdoc="x">Generic Numerics</a></td></tr><tr><td align="right">4.2.3 </td><td><a href="" class="tocviewselflink" data-pltdoc="x">Flonums</a></td></tr><tr><td align="right">4.2.4 </td><td><a href="fixnums.html" class="tocviewlink" data-pltdoc="x">Fixnums</a></td></tr><tr><td align="right">4.2.5 </td><td><a href="extflonums.html" class="tocviewlink" data-pltdoc="x">Extflonums</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_3");">►</a></td><td>4.2.3 </td><td><a href="" class="tocviewselflink" data-pltdoc="x">Flonums</a></td></tr></table><div class="tocviewsublistbottom" style="display: none;" id="tocview_3"><table cellspacing="0" cellpadding="0"><tr><td align="right">4.2.3.1 </td><td><a href="#%28part._.Flonum_.Arithmetic%29" class="tocviewlink" data-pltdoc="x">Flonum Arithmetic</a></td></tr><tr><td align="right">4.2.3.2 </td><td><a href="#%28part._flvectors%29" class="tocviewlink" data-pltdoc="x">Flonum Vectors</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">4.2.3.1<tt> </tt></span><a href="#%28part._.Flonum_.Arithmetic%29" class="tocsubseclink" data-pltdoc="x">Flonum Arithmetic</a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl%2B%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl+</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl-%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl-</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl%2A%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl*</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl%2F%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl/</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flabs%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flabs</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3d%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl=</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3c%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl<</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3e%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl></span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3c~3d%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl<=</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3e~3d%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl>=</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flmin%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flmin</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flmax%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flmax</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flround%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flround</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flfloor%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flfloor</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flceiling%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flceiling</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fltruncate%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fltruncate</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flsin%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flsin</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flcos%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flcos</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fltan%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fltan</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flasin%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flasin</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flacos%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flacos</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flatan%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flatan</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fllog%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fllog</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flexp%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flexp</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flsqrt%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flsqrt</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flexpt%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flexpt</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._-~3efl%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>></span>fl</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl-~3eexact-integer%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">fl-<wbr></wbr>>exact-<wbr></wbr>integer</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._make-flrectangular%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>flrectangular</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flreal-part%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flreal-<wbr></wbr>part</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flimag-part%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flimag-<wbr></wbr>part</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flrandom%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flrandom</span></span></a></td></tr><tr><td><span class="tocsublinknumber">4.2.3.2<tt> </tt></span><a href="#%28part._flvectors%29" class="tocsubseclink" data-pltdoc="x">Flonum Vectors</a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flvector?</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flvector</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._make-flvector%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>flvector</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-length%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flvector-<wbr></wbr>length</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-ref%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flvector-<wbr></wbr>ref</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-set%21%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flvector-<wbr></wbr>set!</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-copy%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flvector-<wbr></wbr>copy</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._in-flvector%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">in-<wbr></wbr>flvector</span></span></a></td></tr><tr><td><a href="#%28form._%28%28lib._racket%2Fflonum..rkt%29._for%2Fflvector%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for/<span class="mywbr"> </span>flvector</span></span></a></td></tr><tr><td><a href="#%28form._%28%28lib._racket%2Fflonum..rkt%29._for%2A%2Fflvector%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktStxLink">for*/<span class="mywbr"> </span>flvector</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._shared-flvector%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">shared-<wbr></wbr>flvector</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._make-shared-flvector%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">make-<wbr></wbr>shared-<wbr></wbr>flvector</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" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, "6.7", "../");" onfocus="this.style.color="black"; this.style.textAlign="left"; if (this.value == "...search manuals...") this.value="";" onblur="if (this.value.match(/^ *$/)) { this.style.color="#888"; this.style.textAlign="center"; this.value="...search manuals..."; }"/></form> <a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("6.7");">top</a></span><span class="navright"> <a href="generic-numbers.html" title="backward to "4.2.2 Generic Numerics"" data-pltdoc="x">← prev</a> <a href="numbers.html" title="up to "4.2 Numbers"" data-pltdoc="x">up</a> <a href="fixnums.html" title="forward to "4.2.4 Fixnums"" data-pltdoc="x">next →</a></span> </div><h5 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""flonums"">4.2.3<tt> </tt><a name="(part._flonums)"></a><a name="(mod-path._racket/flonum)"></a>Flonums</h5><p><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="" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/flonum</span></a><span class="RktPn">)</span></td><td align="right"><span class="RpackageSpec"><span class="Smaller"> package:</span> <span class="stt">base</span></span></td></tr></table></p><p>The <a href="" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/flonum</span></a> library provides operations like
<span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl%2B%29%29" class="RktValLink" data-pltdoc="x">fl+</a></span> that consume and produce only
<a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonums</span></a>. Flonum-specific operations can provide better
performance when used consistently, and they are as safe as generic
operations like <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._%2B%29%29" class="RktValLink" data-pltdoc="x">+</a></span>.</p><blockquote class="refpara"><blockquote class="refcolumn"><blockquote class="refcontent"><p><span class="imageleft"><img src="finger.png" alt="+" width="24" height="24"/></span>See also <a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=guide&rel=performance.html%23%2528part._fixnums%252Bflonums%2529&version=6.7" class="Sq" data-pltdoc="x">Fixnum and Flonum Optimizations</a> in <a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=guide&rel=index.html&version=6.7" class="Sq" data-pltdoc="x"><span style="font-weight: bold">The Racket Guide</span></a>.</p></blockquote></blockquote></blockquote><h5 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""Flonum_Arithmetic"">4.2.3.1<tt> </tt><a name="(part._.Flonum_.Arithmetic)"></a>Flonum Arithmetic</h5><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/flonum..rkt)._fl+))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl%2B%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl+</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fl-))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl-%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl-</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fl*))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl%2A%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl*</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fl/))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl%2F%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl/</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flabs))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flabs%29%29" class="RktValDef RktValLink" data-pltdoc="x">flabs</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._%2B%29%29" class="RktValLink" data-pltdoc="x">+</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._-%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-</span></a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._%2A%29%29" class="RktValLink" data-pltdoc="x">*</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._%2F%29%29" class="RktValLink" data-pltdoc="x">/</a></span>, and <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._abs%29%29" class="RktValLink" data-pltdoc="x">abs</a></span>,
but constrained to consume <a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonums</span></a>. The result is always a
<a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonum</span></a>.</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/flonum..rkt)._fl~3d))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3d%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl=</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fl~3c))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3c%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl<</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fl~3e))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3e%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl></a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fl~3c~3d))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3c~3d%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl<=</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fl~3e~3d))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl~3e~3d%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl>=</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flmin))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flmin%29%29" class="RktValDef RktValLink" data-pltdoc="x">flmin</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flmax))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flmax%29%29" class="RktValDef RktValLink" data-pltdoc="x">flmax</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._~3d%29%29" class="RktValLink" data-pltdoc="x">=</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._~3c%29%29" class="RktValLink" data-pltdoc="x"><</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._~3e%29%29" class="RktValLink" data-pltdoc="x">></a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._~3c~3d%29%29" class="RktValLink" data-pltdoc="x"><=</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._~3e~3d%29%29" class="RktValLink" data-pltdoc="x">>=</a></span>,
<span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._min%29%29" class="RktValLink" data-pltdoc="x">min</a></span>, and <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._max%29%29" class="RktValLink" data-pltdoc="x">max</a></span>, but constrained to consume
<a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonums</span></a>.</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/flonum..rkt)._flround))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flround%29%29" class="RktValDef RktValLink" data-pltdoc="x">flround</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flfloor))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flfloor%29%29" class="RktValDef RktValLink" data-pltdoc="x">flfloor</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flceiling))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flceiling%29%29" class="RktValDef RktValLink" data-pltdoc="x">flceiling</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fltruncate))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fltruncate%29%29" class="RktValDef RktValLink" data-pltdoc="x">fltruncate</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._round%29%29" class="RktValLink" data-pltdoc="x">round</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._floor%29%29" class="RktValLink" data-pltdoc="x">floor</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._ceiling%29%29" class="RktValLink" data-pltdoc="x">ceiling</a></span>, and
<span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._truncate%29%29" class="RktValLink" data-pltdoc="x">truncate</a></span>, but constrained to consume <a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonums</span></a>.</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/flonum..rkt)._flsin))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flsin%29%29" class="RktValDef RktValLink" data-pltdoc="x">flsin</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flcos))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flcos%29%29" class="RktValDef RktValLink" data-pltdoc="x">flcos</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fltan))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fltan%29%29" class="RktValDef RktValLink" data-pltdoc="x">fltan</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flasin))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flasin%29%29" class="RktValDef RktValLink" data-pltdoc="x">flasin</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flacos))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flacos%29%29" class="RktValDef RktValLink" data-pltdoc="x">flacos</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flatan))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flatan%29%29" class="RktValDef RktValLink" data-pltdoc="x">flatan</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._fllog))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fllog%29%29" class="RktValDef RktValLink" data-pltdoc="x">fllog</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flexp))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flexp%29%29" class="RktValDef RktValLink" data-pltdoc="x">flexp</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flsqrt))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flsqrt%29%29" class="RktValDef RktValLink" data-pltdoc="x">flsqrt</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._sin%29%29" class="RktValLink" data-pltdoc="x">sin</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._cos%29%29" class="RktValLink" data-pltdoc="x">cos</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._tan%29%29" class="RktValLink" data-pltdoc="x">tan</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._asin%29%29" class="RktValLink" data-pltdoc="x">asin</a></span>,
<span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._acos%29%29" class="RktValLink" data-pltdoc="x">acos</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._atan%29%29" class="RktValLink" data-pltdoc="x">atan</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._log%29%29" class="RktValLink" data-pltdoc="x">log</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._exp%29%29" class="RktValLink" data-pltdoc="x">exp</a></span>, and
<span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._sqrt%29%29" class="RktValLink" data-pltdoc="x">sqrt</a></span>, but constrained to consume and produce
<a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonums</span></a>. The result is <span class="RktVal">+nan.0</span> when a number outside
the range <span class="RktVal"><span class="nobreak">-1</span>.0</span> to <span class="RktVal">1.0</span> is given to <span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flasin%29%29" class="RktValLink" data-pltdoc="x">flasin</a></span> or
<span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flacos%29%29" class="RktValLink" data-pltdoc="x">flacos</a></span>, or when a negative number is given to <span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fllog%29%29" class="RktValLink" data-pltdoc="x">fllog</a></span>
or <span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flsqrt%29%29" class="RktValLink" data-pltdoc="x">flsqrt</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._racket/flonum..rkt)._flexpt))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flexpt%29%29" class="RktValDef RktValLink" data-pltdoc="x">flexpt</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._expt%29%29" class="RktValLink" data-pltdoc="x">expt</a></span>, but constrained to consume and produce
<a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonums</span></a>.</div></p><p><div class="SIntrapara">Due to the result constraint, the results compared to <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._expt%29%29" class="RktValLink" data-pltdoc="x">expt</a></span>
differ in the following cases:
<span class="refelem"><span class="refcolumn"><span class="refcontent">These special cases correspond to <span class="stt">pow</span> in C99 [<a href="doc-bibliography.html#%28cite._.C99%29" data-pltdoc="x">C99</a>].</span></span></span>
</div><div class="SIntrapara"><ul class="compact"><li><p><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flexpt%29%29" class="RktValLink" data-pltdoc="x">flexpt</a></span><span class="stt"> </span><span class="RktVal"><span class="nobreak">-1</span>.0</span><span class="stt"> </span><span class="RktVal">+inf.0</span><span class="RktPn">)</span> —<wbr></wbr> <span class="RktVal">1.0</span></p></li><li><p><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flexpt%29%29" class="RktValLink" data-pltdoc="x">flexpt</a></span><span class="stt"> </span><span class="RktVar">a</span><span class="stt"> </span><span class="RktVal">+inf.0</span><span class="RktPn">)</span> where <span class="RktVar">a</span> is
negative —<wbr></wbr> <span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._expt%29%29" class="RktValLink" data-pltdoc="x">expt</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._abs%29%29" class="RktValLink" data-pltdoc="x">abs</a></span><span class="stt"> </span><span class="RktVar">a</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktVal">+inf.0</span><span class="RktPn">)</span></p></li><li><p><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flexpt%29%29" class="RktValLink" data-pltdoc="x">flexpt</a></span><span class="stt"> </span><span class="RktVar">a</span><span class="stt"> </span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="RktPn">)</span> where <span class="RktVar">a</span> is
negative —<wbr></wbr> <span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._expt%29%29" class="RktValLink" data-pltdoc="x">expt</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._abs%29%29" class="RktValLink" data-pltdoc="x">abs</a></span><span class="stt"> </span><span class="RktVar">a</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="RktPn">)</span></p></li><li><p><div class="SIntrapara"><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._expt%29%29" class="RktValLink" data-pltdoc="x">expt</a></span><span class="stt"> </span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="stt"> </span><span class="RktVar">b</span><span class="RktPn">)</span> where <span class="RktVar">b</span> is a non-integer:
</div><div class="SIntrapara"><ul class="compact"><li><p><span class="RktVar">b</span> is negative —<wbr></wbr> <span class="RktVal">0.0</span></p></li><li><p><span class="RktVar">b</span> is positive —<wbr></wbr> <span class="RktVal">+inf.0</span></p></li></ul></div></p></li><li><p><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flexpt%29%29" class="RktValLink" data-pltdoc="x">flexpt</a></span><span class="stt"> </span><span class="RktVar">a</span><span class="stt"> </span><span class="RktVar">b</span><span class="RktPn">)</span> where <span class="RktVar">a</span> is
negative and <span class="RktVar">b</span> is not an integer —<wbr></wbr> <span class="RktVal">+nan.0</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/flonum..rkt)._-~3efl))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._-~3efl%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-></span>fl</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </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></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-~3einexact%29%29" class="RktValLink" data-pltdoc="x">exact->inexact</a></span>, but constrained to consume exact
integers, so the result is always a <a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonum</span></a>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/flonum..rkt)._fl-~3eexact-integer))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._fl-~3eexact-integer%29%29" class="RktValDef RktValLink" data-pltdoc="x">fl->exact-integer</a></span></span><span class="hspace"> </span><span class="RktVar">a</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-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-integer?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._inexact-~3eexact%29%29" class="RktValLink" data-pltdoc="x">inexact->exact</a></span>, but constrained to consume an
<a href="numbers.html#%28tech._integer%29" class="techoutside" data-pltdoc="x"><span class="techinside">integer</span></a> <a href="numbers.html#%28tech._flonum%29" class="techoutside" data-pltdoc="x"><span class="techinside">flonum</span></a>, so the result is always an exact
integer.</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/flonum..rkt)._make-flrectangular))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._make-flrectangular%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-flrectangular</a></span></span><span class="hspace"> </span><span class="RktVar">a</span><span class="hspace"> </span><span class="RktVar">b</span><span class="RktPn">)</span></p></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" 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._and%2Fc%29%29" class="RktValLink" data-pltdoc="x">and/c</a></span><span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._complex~3f%29%29" class="RktValLink" data-pltdoc="x">complex?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">c</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._real-part%29%29" class="RktValLink" data-pltdoc="x">real-part</a></span><span class="hspace"> </span><span class="RktSym">c</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">c</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._imag-part%29%29" class="RktValLink" data-pltdoc="x">imag-part</a></span><span class="hspace"> </span><span class="RktSym">c</span><span class="RktPn">)</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">a</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">b</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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/flonum..rkt)._flreal-part))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flreal-part%29%29" class="RktValDef RktValLink" data-pltdoc="x">flreal-part</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></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">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="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="number-types.html#%28def._%28%28quote._~23~25kernel%29._complex~3f%29%29" class="RktValLink" data-pltdoc="x">complex?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">c</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._real-part%29%29" class="RktValLink" data-pltdoc="x">real-part</a></span><span class="hspace"> </span><span class="RktSym">c</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">c</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._imag-part%29%29" class="RktValLink" data-pltdoc="x">imag-part</a></span><span class="hspace"> </span><span class="RktSym">c</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></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/flonum..rkt)._flimag-part))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flimag-part%29%29" class="RktValDef RktValLink" data-pltdoc="x">flimag-part</a></span></span><span class="hspace"> </span><span class="RktVar">a</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></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">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="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="number-types.html#%28def._%28%28quote._~23~25kernel%29._complex~3f%29%29" class="RktValLink" data-pltdoc="x">complex?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">c</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._real-part%29%29" class="RktValLink" data-pltdoc="x">real-part</a></span><span class="hspace"> </span><span class="RktSym">c</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="lambda.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._lambda%29%29" class="RktStxLink" data-pltdoc="x">lambda</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">c</span><span class="RktPn">)</span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._imag-part%29%29" class="RktValLink" data-pltdoc="x">imag-part</a></span><span class="hspace"> </span><span class="RktSym">c</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr></table></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._make-rectangular%29%29" class="RktValLink" data-pltdoc="x">make-rectangular</a></span>, <span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._real-part%29%29" class="RktValLink" data-pltdoc="x">real-part</a></span>, and
<span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._imag-part%29%29" class="RktValLink" data-pltdoc="x">imag-part</a></span>, but both parts of the complex number must be
inexact.</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/flonum..rkt)._flrandom))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flrandom%29%29" class="RktValDef RktValLink" data-pltdoc="x">flrandom</a></span></span><span class="hspace"> </span><span class="RktVar">rand-gen</span><span class="RktPn">)</span><span class="hspace"> </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="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</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._~3e%2Fc%29%29" class="RktValLink" data-pltdoc="x">>/c</a></span><span class="hspace"> </span><span class="RktVal">0</span><span class="RktPn">)</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._~3c%2Fc%29%29" class="RktValLink" data-pltdoc="x"></c</a></span><span class="hspace"> </span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">rand-gen</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._pseudo-random-generator~3f%29%29" class="RktValLink" data-pltdoc="x">pseudo-random-generator?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._random%29%29" class="RktValLink" data-pltdoc="x">random</a></span><span class="stt"> </span><span class="RktVar">rand-gen</span><span class="RktPn">)</span>.</div></p><h5 x-source-module="(lib "scribblings/reference/reference.scrbl")" x-source-pkg="racket-doc" x-part-tag=""flvectors"">4.2.3.2<tt> </tt><a name="(part._flvectors)"></a>Flonum Vectors</h5><p>A <a name="(tech._flvector)"></a><span style="font-style: italic">flvector</span> is like a <a href="vectors.html#%28tech._vector%29" class="techoutside" data-pltdoc="x"><span class="techinside">vector</span></a>, but it holds only
inexact real numbers. This representation can be more compact, and
unsafe operations on <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a>s (see
<a href="unsafe.html" class="RktModLink" data-pltdoc="x"><span class="RktSym">racket/unsafe/ops</span></a>) can execute more efficiently than
unsafe operations on <a href="vectors.html#%28tech._vector%29" class="techoutside" data-pltdoc="x"><span class="techinside">vectors</span></a> of inexact reals.</p><p>An f64vector as provided by <a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=foreign&rel=homogeneous-vectors.html&version=6.7" class="RktModLink Sq" data-pltdoc="x"><span class="RktSym">ffi/vector</span></a> stores the
same kinds of values as a <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a>, but with extra
indirections that make f64vectors more convenient for working with
foreign libraries. The lack of indirections makes unsafe
<a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> access more efficient.</p><p>Two <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvectors</span></a> are <span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span> if they have the same length,
and if the values in corresponding slots of the <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvectors</span></a> are
<span class="RktSym"><a href="booleans.html#%28def._%28%28quote._~23~25kernel%29._equal~3f%29%29" class="RktValLink" data-pltdoc="x">equal?</a></span>.</p><p>A printed <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> starts with <span class="RktInBG"><span class="hspace"></span><span class="RktIn">#fl(</span><span class="hspace"></span></span>, optionally with
a number between the <span class="RktInBG"><span class="hspace"></span><span class="RktIn">#fl</span><span class="hspace"></span></span> and
<span class="RktInBG"><span class="hspace"></span><span class="RktIn">(</span><span class="hspace"></span></span>. See <a href="reader.html#%28part._parse-vector%29" data-pltdoc="x">Reading Vectors</a>
for information on <span class="RktSym"><a href="Reading.html#%28def._%28%28quote._~23~25kernel%29._read%29%29" class="RktValLink" data-pltdoc="x">read</a></span>ing
flvectors and <a href="printing.html#%28part._print-vectors%29" data-pltdoc="x">Printing Vectors</a>
for information on <span class="RktSym"><a href="Writing.html#%28def._%28%28quote._~23~25kernel%29._print%29%29" class="RktValLink" data-pltdoc="x">print</a></span>ing flvectors.</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/flonum..rkt)._flvector~3f))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">flvector?</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="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a>, <span class="RktVal">#f</span> otherwise.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/flonum..rkt)._flvector))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector%29%29" class="RktValDef RktValLink" data-pltdoc="x">flvector</a></span></span><span class="hspace"> </span><span class="RktVar">x</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="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</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="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Creates a <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> containing the given inexact real numbers.</div></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="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector%29%29" class="RktValLink" data-pltdoc="x">flvector</a></span><span class="hspace"> </span><span class="RktVal">2.0</span><span class="hspace"> </span><span class="RktVal">3.0</span><span class="hspace"> </span><span class="RktVal">4.0</span><span class="hspace"> </span><span class="RktVal">5.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(flvector 2.0 3.0 4.0 5.0)</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/flonum..rkt)._make-flvector))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._make-flvector%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-flvector</a></span></span><span class="hspace"> </span><span class="RktVar">size</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="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">size</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></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="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">0.0</span></td></tr></table></blockquote></div><div class="SIntrapara">Creates a <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> with <span class="RktVar">size</span> elements, where every
slot in the <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> is filled with <span class="RktVar">x</span>.</div></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="#%28def._%28%28lib._racket%2Fflonum..rkt%29._make-flvector%29%29" class="RktValLink" data-pltdoc="x">make-flvector</a></span><span class="hspace"> </span><span class="RktVal">4</span><span class="hspace"> </span><span class="RktVal">3.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(flvector 3.0 3.0 3.0 3.0)</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/flonum..rkt)._flvector-length))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-length%29%29" class="RktValDef RktValLink" data-pltdoc="x">flvector-length</a></span></span><span class="hspace"> </span><span class="RktVar">vec</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">vec</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the length of <span class="RktVar">vec</span> (i.e., the number of slots in the
<a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a>).</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._racket/flonum..rkt)._flvector-ref))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-ref%29%29" class="RktValDef RktValLink" data-pltdoc="x">flvector-ref</a></span></span><span class="hspace"> </span><span class="RktVar">vec</span><span class="hspace"> </span><span class="RktVar">pos</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._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">vec</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">pos</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></td></tr></table></blockquote></div><div class="SIntrapara">Returns the inexact real number in slot <span class="RktVar">pos</span> of
<span class="RktVar">vec</span>. The first slot is position <span class="RktVal">0</span>, and the last slot
is one less than <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-length%29%29" class="RktValLink" data-pltdoc="x">flvector-length</a></span><span class="stt"> </span><span class="RktVar">vec</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._racket/flonum..rkt)._flvector-set!))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-set%21%29%29" class="RktValDef RktValLink" data-pltdoc="x">flvector-set!</a></span></span><span class="hspace"> </span><span class="RktVar">vec</span><span class="hspace"> </span><span class="RktVar">pos</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="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">vec</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">pos</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></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="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Sets the inexact real number in slot <span class="RktVar">pos</span> of <span class="RktVar">vec</span>. The
first slot is position <span class="RktVal">0</span>, and the last slot is one less than
<span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-length%29%29" class="RktValLink" data-pltdoc="x">flvector-length</a></span><span class="stt"> </span><span class="RktVar">vec</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._racket/flonum..rkt)._flvector-copy))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector-copy%29%29" class="RktValDef RktValLink" data-pltdoc="x">flvector-copy</a></span></span><span class="hspace"> </span><span class="RktVar">vec</span><span class="hspace"> </span>[<span class="RktVar">start</span><span class="hspace"> </span><span class="RktVar">end</span>]<span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">vec</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">start</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><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">0</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">end</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><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="vectors.html#%28def._%28%28quote._~23~25kernel%29._vector-length%29%29" class="RktValLink" data-pltdoc="x">vector-length</a></span><span class="hspace"> </span><span class="RktSym">v</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Creates a fresh <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> of size <span class="RktPn">(</span><span class="RktSym"><a href="generic-numbers.html#%28def._%28%28quote._~23~25kernel%29._-%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-</span></a></span><span class="stt"> </span><span class="RktVar">end</span><span class="stt"> </span><span class="RktVar">start</span><span class="RktPn">)</span>, with all of the
elements of <span class="RktVar">vec</span> from <span class="RktVar">start</span> (inclusive) to
<span class="RktVar">end</span> (exclusive).</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/flonum..rkt)._in-flvector))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._in-flvector%29%29" class="RktValDef RktValLink" data-pltdoc="x">in-flvector</a></span></span><span class="hspace"> </span><span class="RktVar">vec</span><span class="hspace"> </span>[<span class="RktVar">start</span><span class="hspace"> </span><span class="RktVar">stop</span><span class="hspace"> </span><span class="RktVar">step</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">vec</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">start</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><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">0</span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">stop</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="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="hspace"> </span><span class="RktVal">#f</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">step</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="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="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="number-types.html#%28def._%28%28quote._~23~25kernel%29._zero~3f%29%29" class="RktValLink" data-pltdoc="x">zero?</a></span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">1</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns a sequence equivalent to <span class="RktVar">vec</span> when no optional
arguments are supplied.</div></p><p>The optional arguments <span class="RktVar">start</span>, <span class="RktVar">stop</span>, and
<span class="RktVar">step</span> are as in <span class="RktSym"><a href="sequences.html#%28def._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._in-vector%29%29" class="RktValLink" data-pltdoc="x">in-vector</a></span>.</p><p>A <span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._in-flvector%29%29" class="RktValLink" data-pltdoc="x">in-flvector</a></span> application can provide better
performance for <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> iteration when it appears directly in a <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><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/flonum..rkt)._for/flvector))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28form._%28%28lib._racket%2Fflonum..rkt%29._for%2Fflvector%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for/flvector</a></span></span><span class="hspace"> </span><span class="RktVar">maybe-length</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/flonum..rkt)._for*/flvector))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28form._%28%28lib._racket%2Fflonum..rkt%29._for%2A%2Fflvector%29%29" class="RktStxDef RktStxLink" data-pltdoc="x">for*/flvector</a></span></span><span class="hspace"> </span><span class="RktVar">maybe-length</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><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">maybe-length</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">#:length</span><span class="hspace"> </span><span class="RktVar">length-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="RktPn">#:length</span><span class="hspace"> </span><span class="RktVar">length-expr</span><span class="hspace"> </span><span class="RktPn">#:fill</span><span class="hspace"> </span><span class="RktVar">fill-expr</span></td></tr></table></td></tr><tr><td><span class="stt"> </span></td></tr><tr><td><blockquote class="SubFlow"><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td><span class="hspace"> </span></td><td><span class="RktVar">length-expr</span></td><td><span class="hspace"> </span></td><td>:</td><td><span class="hspace"> </span></td><td><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._exact-nonnegative-integer~3f%29%29" class="RktValLink" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr></table><table cellspacing="0" cellpadding="0" class="argcontract"><tr><td><span class="hspace"> </span></td><td><span class="RktVar">fill-expr</span></td><td><span class="hspace"> </span></td><td>:</td><td><span class="hspace"> </span></td><td><span class="RktSym"><a href="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="for.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._for%2Fvector%29%29" class="RktStxLink" data-pltdoc="x">for/vector</a></span> or <span class="RktSym"><a href="for.html#%28form._%28%28lib._racket%2Fprivate%2Fbase..rkt%29._for%2A%2Fvector%29%29" class="RktStxLink" data-pltdoc="x">for*/vector</a></span>, but for
<a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a>s. The default <span class="RktVar">fill-expr</span> produces <span class="RktVal">0.0</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._racket/flonum..rkt)._shared-flvector))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._shared-flvector%29%29" class="RktValDef RktValLink" data-pltdoc="x">shared-flvector</a></span></span><span class="hspace"> </span><span class="RktVar">x</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="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</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="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Creates a <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> containing the given inexact real numbers.
For communication among <a href="places.html#%28tech._place%29" class="techoutside" data-pltdoc="x"><span class="techinside">places</span></a>, the new <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> is
allocated in the <a href="places.html#%28tech._shared._memory._space%29" class="techoutside" data-pltdoc="x"><span class="techinside">shared memory space</span></a>.</div></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="#%28def._%28%28lib._racket%2Fflonum..rkt%29._shared-flvector%29%29" class="RktValLink" data-pltdoc="x">shared-flvector</a></span><span class="hspace"> </span><span class="RktVal">2.0</span><span class="hspace"> </span><span class="RktVal">3.0</span><span class="hspace"> </span><span class="RktVal">4.0</span><span class="hspace"> </span><span class="RktVal">5.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(flvector 2.0 3.0 4.0 5.0)</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/flonum..rkt)._make-shared-flvector))"></a><span title="Provided from: racket/flonum | Package: base"><span class="RktSym"><a href="#%28def._%28%28lib._racket%2Fflonum..rkt%29._make-shared-flvector%29%29" class="RktValDef RktValLink" data-pltdoc="x">make-shared-flvector</a></span></span><span class="hspace"> </span><span class="RktVar">size</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="#%28def._%28%28lib._racket%2Fflonum..rkt%29._flvector~3f%29%29" class="RktValLink" data-pltdoc="x">flvector?</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">size</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></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="number-types.html#%28def._%28%28quote._~23~25kernel%29._flonum~3f%29%29" class="RktValLink" data-pltdoc="x">flonum?</a></span><span class="hspace"> </span>=<span class="hspace"> </span><span class="RktVal">0.0</span></td></tr></table></blockquote></div><div class="SIntrapara">Creates a <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> with <span class="RktVar">size</span> elements, where every
slot in the <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> is filled with <span class="RktVar">x</span>.
For communication among <a href="places.html#%28tech._place%29" class="techoutside" data-pltdoc="x"><span class="techinside">places</span></a>, the new <a href="#%28tech._flvector%29" class="techoutside" data-pltdoc="x"><span class="techinside">flvector</span></a> is
allocated in the <a href="places.html#%28tech._shared._memory._space%29" class="techoutside" data-pltdoc="x"><span class="techinside">shared memory space</span></a>.</div></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="#%28def._%28%28lib._racket%2Fflonum..rkt%29._make-shared-flvector%29%29" class="RktValLink" data-pltdoc="x">make-shared-flvector</a></span><span class="hspace"> </span><span class="RktVal">4</span><span class="hspace"> </span><span class="RktVal">3.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(flvector 3.0 3.0 3.0 3.0)</span></p></td></tr></table></blockquote></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, "6.7", "../");" onfocus="this.style.color="black"; this.style.textAlign="left"; if (this.value == "...search manuals...") this.value="";" onblur="if (this.value.match(/^ *$/)) { this.style.color="#888"; this.style.textAlign="center"; this.value="...search manuals..."; }"/></form> <a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("6.7");">top</a></span><span class="navright"> <a href="generic-numbers.html" title="backward to "4.2.2 Generic Numerics"" data-pltdoc="x">← prev</a> <a href="numbers.html" title="up to "4.2 Numbers"" data-pltdoc="x">up</a> <a href="fixnums.html" title="forward to "4.2.4 Fixnums"" data-pltdoc="x">next →</a></span> </div></div></div><div id="contextindicator"> </div></body></html>
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