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<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"/><title>7&nbsp;Plot Utilities</title><link rel="stylesheet" type="text/css" href="../scribble.css" title="default"/><link rel="stylesheet" type="text/css" href="../racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-style.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../manual-racket.css" title="default"/><link rel="stylesheet" type="text/css" href="../doc-site.css" title="default"/><script type="text/javascript" src="../scribble-common.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../manual-racket.js"></script><script type="text/javascript" src="../doc-site.js"></script><script type="text/javascript" src="../local-redirect/local-redirect.js"></script><script type="text/javascript" src="../local-redirect/local-user-redirect.js"></script><!--[if IE 6]><style type="text/css">.SIEHidden { overflow: hidden; }</style><![endif]--></head><body id="doc-racket-lang-org"><div class="tocset"><div class="tocview"><div class="tocviewlist tocviewlisttopspace"><div class="tocviewtitle"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,&quot;tocview_0&quot;);">&#9660;</a></td><td></td><td><a href="index.html" class="tocviewlink" data-pltdoc="x">Plot:<span class="mywbr"> &nbsp;</span> Graph Plotting</a></td></tr></table></div><div class="tocviewsublisttop" style="display: block;" id="tocview_0"><table cellspacing="0" cellpadding="0"><tr><td align="right">1&nbsp;</td><td><a href="intro.html" class="tocviewlink" data-pltdoc="x">Introduction</a></td></tr><tr><td align="right">2&nbsp;</td><td><a href="plotting.html" class="tocviewlink" data-pltdoc="x">2D and 3D Plotting Procedures</a></td></tr><tr><td align="right">3&nbsp;</td><td><a href="renderer2d.html" class="tocviewlink" data-pltdoc="x">2D Renderers</a></td></tr><tr><td align="right">4&nbsp;</td><td><a href="renderer3d.html" class="tocviewlink" data-pltdoc="x">3D Renderers</a></td></tr><tr><td align="right">5&nbsp;</td><td><a href="nonrenderer.html" class="tocviewlink" data-pltdoc="x">Nonrenderers</a></td></tr><tr><td align="right">6&nbsp;</td><td><a href="ticks_and_transforms.html" class="tocviewlink" data-pltdoc="x">Axis Transforms and Ticks</a></td></tr><tr><td align="right">7&nbsp;</td><td><a href="" class="tocviewselflink" data-pltdoc="x">Plot Utilities</a></td></tr><tr><td align="right">8&nbsp;</td><td><a href="params.html" class="tocviewlink" data-pltdoc="x">Plot and Renderer Parameters</a></td></tr><tr><td align="right">9&nbsp;</td><td><a href="contracts.html" class="tocviewlink" data-pltdoc="x">Plot Contracts</a></td></tr><tr><td align="right">10&nbsp;</td><td><a href="porting.html" class="tocviewlink" data-pltdoc="x">Porting From Plot &lt;= 5.1.3</a></td></tr><tr><td align="right">11&nbsp;</td><td><a href="typed-compat.html" class="tocviewlink" data-pltdoc="x">Legacy Typed Interface</a></td></tr><tr><td align="right">12&nbsp;</td><td><a href="compat.html" class="tocviewlink" data-pltdoc="x">Compatibility Module</a></td></tr></table></div></div><div class="tocviewlist"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,&quot;tocview_1&quot;);">&#9658;</a></td><td>7&nbsp;</td><td><a href="" class="tocviewselflink" data-pltdoc="x">Plot Utilities</a></td></tr></table><div class="tocviewsublistbottom" style="display: none;" id="tocview_1"><table cellspacing="0" cellpadding="0"><tr><td align="right">7.1&nbsp;</td><td><a href="#%28part._.Formatting%29" class="tocviewlink" data-pltdoc="x">Formatting</a></td></tr><tr><td align="right">7.2&nbsp;</td><td><a href="#%28part._.Sampling%29" class="tocviewlink" data-pltdoc="x">Sampling</a></td></tr><tr><td align="right">7.3&nbsp;</td><td><a href="#%28part._.Plot_.Colors_and_.Styles%29" class="tocviewlink" data-pltdoc="x">Plot Colors and Styles</a></td></tr><tr><td align="right">7.4&nbsp;</td><td><a href="#%28part._.Plot-.Specific_.Math%29" class="tocviewlink" data-pltdoc="x">Plot-<wbr></wbr>Specific Math</a></td></tr><tr><td align="right">7.5&nbsp;</td><td><a href="#%28part._.Dates_and_.Times%29" class="tocviewlink" data-pltdoc="x">Dates and Times</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">7.1<tt>&nbsp;</tt></span><a href="#%28part._.Formatting%29" class="tocsubseclink" data-pltdoc="x">Formatting</a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._digits-for-range%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">digits-<wbr></wbr>for-<wbr></wbr>range</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3eplot-label%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">real-<wbr></wbr>&gt;plot-<wbr></wbr>label</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl-~3eplot-label%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">ivl-<wbr></wbr>&gt;plot-<wbr></wbr>label</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3eplot-label%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>&gt;</span>plot-<wbr></wbr>label</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3estring%2Ftrunc%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">real-<wbr></wbr>&gt;string/<span class="mywbr"> &nbsp;</span>trunc</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3edecimal-string%2A%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">real-<wbr></wbr>&gt;decimal-<wbr></wbr>string*</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._integer-~3esuperscript%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">integer-<wbr></wbr>&gt;superscript</span></span></a></td></tr><tr><td><span class="tocsublinknumber">7.2<tt>&nbsp;</tt></span><a href="#%28part._.Sampling%29" class="tocsubseclink" data-pltdoc="x">Sampling</a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">linear-<wbr></wbr>seq</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%2A%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">linear-<wbr></wbr>seq*</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._nonlinear-seq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">nonlinear-<wbr></wbr>seq</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._kde%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">kde</span></span></a></td></tr><tr><td><span class="tocsublinknumber">7.3<tt>&nbsp;</tt></span><a href="#%28part._.Plot_.Colors_and_.Styles%29" class="tocsubseclink" data-pltdoc="x">Plot Colors and Styles</a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._color-seq%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">color-<wbr></wbr>seq</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._color-seq%2A%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">color-<wbr></wbr>seq*</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ecolor%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>&gt;</span>color</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-color%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>&gt;</span>pen-<wbr></wbr>color</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>&gt;</span>brush-<wbr></wbr>color</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-style%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>&gt;</span>pen-<wbr></wbr>style</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-style%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink"><span class="nobreak">-<wbr></wbr>&gt;</span>brush-<wbr></wbr>style</span></span></a></td></tr><tr><td><span class="tocsublinknumber">7.4<tt>&nbsp;</tt></span><a href="#%28part._.Plot-.Specific_.Math%29" class="tocsubseclink" data-pltdoc="x">Plot-<wbr></wbr>Specific Math</a></td></tr><tr><td><span class="tocsublinknumber">7.4.1<tt>&nbsp;</tt></span><a href="#%28part._.Real_.Functions%29" class="tocsubseclink" data-pltdoc="x">Real Functions</a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._polar-~3ecartesian%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">polar-<wbr></wbr>&gt;cartesian</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._3d-polar-~3e3d-cartesian%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">3d-<wbr></wbr>polar-<wbr></wbr>&gt;3d-<wbr></wbr>cartesian</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ceiling-log%2Fbase%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">ceiling-<wbr></wbr>log/<span class="mywbr"> &nbsp;</span>base</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._floor-log%2Fbase%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">floor-<wbr></wbr>log/<span class="mywbr"> &nbsp;</span>base</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._maybe-inexact-~3eexact%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">maybe-<wbr></wbr>inexact-<wbr></wbr>&gt;exact</span></span></a></td></tr><tr><td><span class="tocsublinknumber">7.4.2<tt>&nbsp;</tt></span><a href="#%28part._math..vectors%29" class="tocsubseclink" data-pltdoc="x">Vector Functions</a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2B%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">v+</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v-%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">v-</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vneg%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vneg</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2A%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">v*</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2F%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">v/</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v~3d%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">v=</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vcross</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross2%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vcross2</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vdot%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vdot</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vmag~5e2%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vmag^2</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vmag%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vmag</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vnormalize%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vnormalize</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcenter%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vcenter</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vrational~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">vrational?</span></span></a></td></tr><tr><td><span class="tocsublinknumber">7.4.3<tt>&nbsp;</tt></span><a href="#%28part._math..intervals%29" class="tocsubseclink" data-pltdoc="x">Intervals and Interval Functions</a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">ivl</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._rational-ivl~3f%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">rational-<wbr></wbr>ivl?</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._bounds-~3eintervals%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">bounds-<wbr></wbr>&gt;intervals</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._clamp-real%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">clamp-<wbr></wbr>real</span></span></a></td></tr><tr><td><span class="tocsublinknumber">7.5<tt>&nbsp;</tt></span><a href="#%28part._.Dates_and_.Times%29" class="tocsubseclink" data-pltdoc="x">Dates and Times</a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._datetime-~3ereal%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">datetime-<wbr></wbr>&gt;real</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">plot-<wbr></wbr>time</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time-~3eseconds%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">plot-<wbr></wbr>time-<wbr></wbr>&gt;seconds</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._seconds-~3eplot-time%29%29" class="tocsubnonseclink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">seconds-<wbr></wbr>&gt;plot-<wbr></wbr>time</span></span></a></td></tr></table></div></div><div class="maincolumn"><div class="main"><div class="versionbox"><span class="version">6.7</span></div><div class="navsettop"><span class="navleft"><form class="searchform"><input class="searchbox" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, &quot;6.7&quot;, &quot;../&quot;);" onfocus="this.style.color=&quot;black&quot;; this.style.textAlign=&quot;left&quot;; if (this.value == &quot;...search manuals...&quot;) this.value=&quot;&quot;;" onblur="if (this.value.match(/^ *$/)) { this.style.color=&quot;#888&quot;; this.style.textAlign=&quot;center&quot;; this.value=&quot;...search manuals...&quot;; }"/></form>&nbsp;&nbsp;<a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot(&quot;6.7&quot;);">top</a></span><span class="navright">&nbsp;&nbsp;<a href="ticks_and_transforms.html" title="backward to &quot;6 Axis Transforms and Ticks&quot;" data-pltdoc="x">&larr; prev</a>&nbsp;&nbsp;<a href="index.html" title="up to &quot;Plot: Graph Plotting&quot;" data-pltdoc="x">up</a>&nbsp;&nbsp;<a href="params.html" title="forward to &quot;8 Plot and Renderer Parameters&quot;" data-pltdoc="x">next &rarr;</a></span>&nbsp;</div><h3 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;utils&quot;">7<tt>&nbsp;</tt><a name="(part._utils)"></a><a name="(mod-path._plot/utils)"></a>Plot Utilities</h3><p><table cellspacing="0" cellpadding="0" class="defmodule"><tr><td align="left"><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=require.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._require%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">require</a></span><span class="stt"> </span><a href="" class="RktModLink" data-pltdoc="x"><span class="RktSym">plot/utils</span></a><span class="RktPn">)</span></td><td align="right"><span class="RpackageSpec"><span class="Smaller">&nbsp;package:</span> <span class="stt">plot-lib</span></span></td></tr></table></p><h4 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;Formatting&quot;">7.1<tt>&nbsp;</tt><a name="(part._.Formatting)"></a>Formatting</h4><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._digits-for-range))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._digits-for-range%29%29" class="RktValDef RktValLink" data-pltdoc="x">digits-for-range</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">x-min</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">x-max</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span>[</td><td valign="top"><span class="RktVar">base</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">extra-digits</span>]<span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x-min</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x-max</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">base</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._and%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3e%7E3d%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&gt;=/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">10</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">extra-digits</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">3</span></td></tr></table></blockquote></div><div class="SIntrapara">Given a range, returns the number of decimal places necessary to distinguish numbers in the range.
This may return negative numbers for large ranges.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._digits-for-range%29%29" class="RktValLink" data-pltdoc="x">digits-for-range</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.01</span><span class="hspace">&nbsp;</span><span class="RktVal">0.02</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">5</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._digits-for-range%29%29" class="RktValLink" data-pltdoc="x">digits-for-range</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">100000</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-2</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._plot/utils..rkt)._real-~3eplot-label))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3eplot-label%29%29" class="RktValDef RktValLink" data-pltdoc="x">real-&gt;plot-label</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span><span class="RktVar">digits</span><span class="hspace">&nbsp;</span>[<span class="RktVar">scientific?</span>]<span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=strings.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._string%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">string?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">digits</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">scientific?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr></table></blockquote></div><div class="SIntrapara">Converts a real number to a plot label.
Used to format axis tick labels, <span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._point-label%29%29" class="RktValLink" data-pltdoc="x">point-label</a></span>s, and numbers in legend entries.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=let.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fletstx-scheme..rkt%2529._let%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">let</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktPn">[</span><span class="RktSym">d</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._digits-for-range%29%29" class="RktValLink" data-pltdoc="x">digits-for-range</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.01</span><span class="hspace">&nbsp;</span><span class="RktVal">0.03</span><span class="RktPn">)</span><span class="RktPn">]</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3eplot-label%29%29" class="RktValLink" data-pltdoc="x">real-&gt;plot-label</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0.02555555</span><span class="hspace">&nbsp;</span><span class="RktSym">d</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><span class="RktRes">".02556"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3eplot-label%29%29" class="RktValLink" data-pltdoc="x">real-&gt;plot-label</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2352343</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"2352300"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3eplot-label%29%29" class="RktValLink" data-pltdoc="x">real-&gt;plot-label</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1000000000.0</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"1&#215;10&#8313;"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3eplot-label%29%29" class="RktValLink" data-pltdoc="x">real-&gt;plot-label</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1000000000.1234</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"(1&#215;10&#8313;)+.1234"</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._plot/utils..rkt)._ivl-~3eplot-label))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl-~3eplot-label%29%29" class="RktValDef RktValLink" data-pltdoc="x">ivl-&gt;plot-label</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">i</span><span class="hspace">&nbsp;</span>[<span class="RktVar">extra-digits</span>]<span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=strings.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._string%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">string?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">i</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl~3f%29%29" class="RktValLink" data-pltdoc="x">ivl?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">extra-digits</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">3</span></td></tr></table></blockquote></div><div class="SIntrapara">Converts an interval to a plot label.</div></p><p><div class="SIntrapara">If <span class="RktVar">i</span> = <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="stt"> </span><span class="RktSym">x-min</span><span class="stt"> </span><span class="RktSym">x-max</span><span class="RktPn">)</span>, the number of digits used is <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._digits-for-range%29%29" class="RktValLink" data-pltdoc="x">digits-for-range</a></span><span class="stt"> </span><span class="RktSym">x-min</span><span class="stt"> </span><span class="RktSym">x-max</span><span class="stt"> </span><span class="RktVal">10</span><span class="stt"> </span><span class="RktVar">extra-digits</span><span class="RktPn">)</span> when both endpoints are <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._rational%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">rational?</a></span>.
Otherwise, it is unspecified&#8212;<wbr></wbr>but will probably remain <span class="RktVal">15</span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl-~3eplot-label%29%29" class="RktValLink" data-pltdoc="x">ivl-&gt;plot-label</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span>0.52312</span><span class="hspace">&nbsp;</span><span class="RktVal">10.99232</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"[-10.52,10.99]"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl-~3eplot-label%29%29" class="RktValLink" data-pltdoc="x">ivl-&gt;plot-label</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528lib._racket%252Fmath..rkt%2529._pi%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">pi</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"[-inf.0,3.141592653589793]"</span></p></td></tr></table></blockquote></div></p></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._plot/utils..rkt)._-~3eplot-label))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3eplot-label%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>plot-label</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">a</span><span class="hspace">&nbsp;</span>[<span class="RktVar">digits</span>]<span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=strings.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._string%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">string?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">a</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._any%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">any/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">digits</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">7</span></td></tr></table></blockquote></div><div class="SIntrapara">Converts a Racket value to a label. Used by <span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._discrete-histogram%29%29" class="RktValLink" data-pltdoc="x">discrete-histogram</a></span> and <span class="RktSym"><a href="renderer3d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._discrete-histogram3d%29%29" class="RktValLink" data-pltdoc="x">discrete-histogram3d</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._plot/utils..rkt)._real-~3estring/trunc))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3estring%2Ftrunc%29%29" class="RktValDef RktValLink" data-pltdoc="x">real-&gt;string/trunc</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span><span class="RktVar">e</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=strings.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._string%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">string?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">e</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._real-%7E3edecimal-string%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real-&gt;decimal-string</a></span>, but removes any trailing zeros and any trailing decimal point.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._real-~3edecimal-string*))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3edecimal-string%2A%29%29" class="RktValDef RktValLink" data-pltdoc="x">real-&gt;decimal-string*</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">x</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">min-digits</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span>[</td><td valign="top"><span class="RktVar">max-digits</span>]<span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=strings.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._string%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">string?</a></span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">min-digits</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-nonnegative-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">max-digits</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-nonnegative-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-nonnegative-integer?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVar">min-digits</span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._real-%7E3edecimal-string%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real-&gt;decimal-string</a></span>, but accepts both a maximum and minimum number of digits.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3edecimal-string%2A%29%29" class="RktValLink" data-pltdoc="x">real-&gt;decimal-string*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"1.00000"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3edecimal-string%2A%29%29" class="RktValLink" data-pltdoc="x">real-&gt;decimal-string*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1.123456</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"1.123456"</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3edecimal-string%2A%29%29" class="RktValLink" data-pltdoc="x">real-&gt;decimal-string*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1.123456789123456</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"1.1234567891"</span></p></td></tr></table></blockquote></div></p></div><div class="SIntrapara">Applying <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._real-~3edecimal-string%2A%29%29" class="RktValLink" data-pltdoc="x">real-&gt;decimal-string*</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="stt"> </span><span class="RktVar">min-digits</span><span class="RktPn">)</span> yields the same value as <span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._real-%7E3edecimal-string%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real-&gt;decimal-string</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="stt"> </span><span class="RktVar">min-digits</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._plot/utils..rkt)._integer-~3esuperscript))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._integer-~3esuperscript%29%29" class="RktValDef RktValLink" data-pltdoc="x">integer-&gt;superscript</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=strings.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._string%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">string?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Converts an integer into a string of superscript Unicode characters.
</div><div class="SIntrapara"><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._integer-~3esuperscript%29%29" class="RktValLink" data-pltdoc="x">integer-&gt;superscript</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span>234567890</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">"&#8315;&#185;&#178;&#179;&#8308;&#8309;&#8310;&#8311;&#8312;&#8313;&#8304;"</span></p></td></tr></table></blockquote></div></p></div><div class="SIntrapara">Systems running some out-of-date versions of Windows XP have difficulty with Unicode superscripts for 4 and up.
Because <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._integer-~3esuperscript%29%29" class="RktValLink" data-pltdoc="x">integer-&gt;superscript</a></span> is used by every number formatting function to format exponents, if you have such a system, Plot will apparently not format all numbers with exponents correctly (until you update it).</div></p><h4 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;Sampling&quot;">7.2<tt>&nbsp;</tt><a name="(part._.Sampling)"></a>Sampling</h4><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._linear-seq))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValDef RktValLink" data-pltdoc="x">linear-seq</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">start</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">end</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">num</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span>[</td><td valign="top"><span class="RktPn">#:start?</span><span class="hspace">&nbsp;</span><span class="RktVar">start?</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">#:end?</span><span class="hspace">&nbsp;</span><span class="RktVar">end?</span>]<span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">start</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">end</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">num</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-nonnegative-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">start?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">end?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns a list of uniformly spaced real numbers between <span class="RktVar">start</span> and <span class="RktVar">end</span>.
If <span class="RktVar">start?</span> is <span class="RktVal">#t</span>, the list includes <span class="RktVar">start</span>.
If <span class="RktVar">end?</span> is <span class="RktVal">#t</span>, the list includes <span class="RktVar">end</span>.</div></p><p>This function is used internally to generate sample points.</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(0 1/4 1/2 3/4 1)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="hspace">&nbsp;</span><span class="RktPn">#:start?</span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(1/9 1/3 5/9 7/9 1)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="hspace">&nbsp;</span><span class="RktPn">#:end?</span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(0 2/9 4/9 2/3 8/9)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="hspace">&nbsp;</span><span class="RktPn">#:start?</span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="hspace">&nbsp;</span><span class="RktPn">#:end?</span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(1/10 3/10 1/2 7/10 9/10)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=define.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._define%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktSym">xs</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span></span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">11</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="plotting.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot%29%29" class="RktValLink" data-pltdoc="x">plot</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._lines%29%29" class="RktValLink" data-pltdoc="x">lines</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=vectors.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._vector%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector</a></span><span class="hspace">&nbsp;</span><span class="RktSym">xs</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528lib._racket%252Fmath..rkt%2529._sqr%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">sqr</a></span><span class="hspace">&nbsp;</span><span class="RktSym">xs</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img style="vertical-align: 0px; margin: -3px -3px -3px -3px;" src="pict_77.png" alt="image" width="406" height="406"/></p></td></tr></table></blockquote></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._linear-seq*))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%2A%29%29" class="RktValDef RktValLink" data-pltdoc="x">linear-seq*</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">points</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">num</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span>[</td><td valign="top"><span class="RktPn">#:start?</span><span class="hspace">&nbsp;</span><span class="RktVar">start?</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">#:end?</span><span class="hspace">&nbsp;</span><span class="RktVar">end?</span>]<span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">points</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">num</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-nonnegative-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">start?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">end?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span>, but accepts a list of reals instead of a start and end.
The <span class="RktPn">#:start?</span> and <span class="RktPn">#:end?</span> keyword arguments work as in <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span>.
This function does not guarantee that each inner value will be in the returned list.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%2A%29%29" class="RktValLink" data-pltdoc="x">linear-seq*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(0 1/2 1 3/2 2)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%2A%29%29" class="RktValLink" data-pltdoc="x">linear-seq*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">6</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(0 2/5 4/5 6/5 8/5 2)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%2A%29%29" class="RktValLink" data-pltdoc="x">linear-seq*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(0 1/2 1 1/2 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><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._nonlinear-seq))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._nonlinear-seq%29%29" class="RktValDef RktValLink" data-pltdoc="x">nonlinear-seq</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">start</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">end</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">num</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">transform</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span>[</td><td valign="top"><span class="RktPn">#:start?</span><span class="hspace">&nbsp;</span><span class="RktVar">start?</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">#:end?</span><span class="hspace">&nbsp;</span><span class="RktVar">end?</span>]<span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">start</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">end</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">num</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-nonnegative-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">transform</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._axis-transform%2Fc%29%29" class="RktValLink" data-pltdoc="x">axis-transform/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">start?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">end?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr></table></blockquote></div><div class="SIntrapara">Generates a list of reals that, if transformed using <span class="RktVar">transform</span>, would be uniformly spaced.
This is used to generate samples for transformed axes.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(1 4 7 10)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._nonlinear-seq%29%29" class="RktValLink" data-pltdoc="x">nonlinear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._log-transform%29%29" class="RktValLink" data-pltdoc="x">log-transform</a></span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(1.0 2.154434690031884 4.641588833612779 10.000000000000002)</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=parameters.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fmore-scheme..rkt%2529._parameterize%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">parameterize</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktPn">[</span><span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot-x-transform%29%29" class="RktValLink" data-pltdoc="x">plot-x-transform</a></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._log-transform%29%29" class="RktValLink" data-pltdoc="x">log-transform</a></span><span class="RktPn">]</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="plotting.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot%29%29" class="RktValLink" data-pltdoc="x">plot</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._area-histogram%29%29" class="RktValLink" data-pltdoc="x">area-histogram</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528lib._racket%252Fmath..rkt%2529._sqr%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">sqr</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._nonlinear-seq%29%29" class="RktValLink" data-pltdoc="x">nonlinear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._log-transform%29%29" class="RktValLink" data-pltdoc="x">log-transform</a></span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img style="vertical-align: 0px; margin: -3px -3px -3px -3px;" src="pict_78.png" alt="image" width="406" height="406"/></p></td></tr></table></blockquote></div></p></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._kde))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._kde%29%29" class="RktValDef RktValLink" data-pltdoc="x">kde</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">xs</span><span class="hspace">&nbsp;</span><span class="RktVar">h</span><span class="hspace">&nbsp;</span>[<span class="RktVar">ws</span>]<span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top">&rarr;</td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><table cellspacing="0" cellpadding="0"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=function-contracts.html%23%2528form._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._-%7E3e%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x"><span class="nobreak">-&gt;</span></a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._or%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._rational%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">rational?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">)</span></td></tr><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._or%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._rational%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">rational?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">)</span></td></tr></table></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">xs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">h</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3e%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&gt;/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">ws</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._or%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3e%7E3d%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&gt;=/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#f</span></td></tr></table></blockquote></div><div class="SIntrapara">Given optionally weighted samples and a kernel bandwidth, returns a function representing a kernel density estimate, and bounds, outside of which the density estimate is zero.
Used by <span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._density%29%29" class="RktValLink" data-pltdoc="x">density</a></span>.</div></p><h4 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;Plot_Colors_and_Styles&quot;">7.3<tt>&nbsp;</tt><a name="(part._.Plot_.Colors_and_.Styles)"></a>Plot Colors and Styles</h4><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._color-seq))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._color-seq%29%29" class="RktValDef RktValLink" data-pltdoc="x">color-seq</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">c1</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">c2</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">num</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span>[</td><td valign="top"><span class="RktPn">#:start?</span><span class="hspace">&nbsp;</span><span class="RktVar">start?</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">#:end?</span><span class="hspace">&nbsp;</span><span class="RktVar">end?</span>]<span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._list%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">list/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">c1</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="contracts.html#%28def._%28%28lib._plot%2Futils..rkt%29._color%2Fc%29%29" class="RktValLink" data-pltdoc="x">color/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">c2</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="contracts.html#%28def._%28%28lib._plot%2Futils..rkt%29._color%2Fc%29%29" class="RktValLink" data-pltdoc="x">color/c</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">num</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-nonnegative-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">start?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">end?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr></table></blockquote></div><div class="SIntrapara">Interpolates between colors&#8212;<wbr></wbr>red, green and blue components separately&#8212;<wbr></wbr>using <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span>.
The <span class="RktPn">#:start?</span> and <span class="RktPn">#:end?</span> keyword arguments work as in <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span>.</div></p><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="plotting.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot%29%29" class="RktValLink" data-pltdoc="x">plot</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._contour-intervals%29%29" class="RktValLink" data-pltdoc="x">contour-intervals</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=lambda.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._%7Ece%7Ebb%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">&#955;</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">x</span><span class="hspace">&nbsp;</span><span class="RktSym">y</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252B%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">+</a></span><span class="hspace">&nbsp;</span><span class="RktSym">x</span><span class="hspace">&nbsp;</span><span class="RktSym">y</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:levels</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="hspace">&nbsp;</span><span class="RktPn">#:contour-styles</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">transparent</span><span class="RktVal">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:colors</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._color-seq%29%29" class="RktValLink" data-pltdoc="x">color-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">"red"</span><span class="hspace">&nbsp;</span><span class="RktVal">"blue"</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img style="vertical-align: 0px; margin: -3px -3px -3px -3px;" src="pict_79.png" alt="image" width="406" height="406"/></p></td></tr></table></blockquote></div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._color-seq*))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._color-seq%2A%29%29" class="RktValDef RktValLink" data-pltdoc="x">color-seq*</a></span></span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">colors</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktVar">num</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span>[</td><td valign="top"><span class="RktPn">#:start?</span><span class="hspace">&nbsp;</span><span class="RktVar">start?</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr><tr><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="hspace">&nbsp;</span></td><td valign="top"><span class="RktPn">#:end?</span><span class="hspace">&nbsp;</span><span class="RktVar">end?</span>]<span class="RktPn">)</span></td><td valign="top"><span class="hspace">&nbsp;</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._list%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">list/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">colors</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="contracts.html#%28def._%28%28lib._plot%2Futils..rkt%29._color%2Fc%29%29" class="RktValLink" data-pltdoc="x">color/c</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">num</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-nonnegative-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-nonnegative-integer?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">start?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">end?</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span><span class="hspace">&nbsp;</span>=<span class="hspace">&nbsp;</span><span class="RktVal">#t</span></td></tr></table></blockquote></div><div class="SIntrapara">Interpolates between colors&#8212;<wbr></wbr>red, green and blue components separately&#8212;<wbr></wbr>using <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%2A%29%29" class="RktValLink" data-pltdoc="x">linear-seq*</a></span>.
The <span class="RktPn">#:start?</span> and <span class="RktPn">#:end?</span> keyword arguments work as in <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span>.</div></p><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="plotting.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot%29%29" class="RktValLink" data-pltdoc="x">plot</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._contour-intervals%29%29" class="RktValLink" data-pltdoc="x">contour-intervals</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=lambda.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._%7Ece%7Ebb%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">&#955;</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">x</span><span class="hspace">&nbsp;</span><span class="RktSym">y</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252B%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">+</a></span><span class="hspace">&nbsp;</span><span class="RktSym">x</span><span class="hspace">&nbsp;</span><span class="RktSym">y</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:levels</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="hspace">&nbsp;</span><span class="RktPn">#:contour-styles</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">transparent</span><span class="RktVal">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:colors</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._color-seq%2A%29%29" class="RktValLink" data-pltdoc="x">color-seq*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">red</span><span class="hspace">&nbsp;</span><span class="RktVal">white</span><span class="hspace">&nbsp;</span><span class="RktVal">blue</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img style="vertical-align: 0px; margin: -3px -3px -3px -3px;" src="pict_80.png" alt="image" width="406" height="406"/></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._plot/utils..rkt)._-~3ecolor))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ecolor%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>color</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">c</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._list%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">list/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">c</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="contracts.html#%28def._%28%28lib._plot%2Futils..rkt%29._color%2Fc%29%29" class="RktValLink" data-pltdoc="x">color/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Converts a non-integer plot color to an RGB triplet.</div></p><p>Symbols are converted to strings, and strings are looked up in a <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=draw&amp;rel=color-database___.html&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">color-database&lt;%&gt;</a></span>.
Lists are unchanged, and <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=draw&amp;rel=color_.html&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">color%</a></span> objects are converted straightforwardly.</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ecolor%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">navy</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(36 36 140)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ecolor%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">"navy"</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(36 36 140)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ecolor%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">36</span><span class="hspace">&nbsp;</span><span class="RktVal">36</span><span class="hspace">&nbsp;</span><span class="RktVal">140</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(36 36 140)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ecolor%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>color</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=objcreation.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fclass-internal..rkt%2529._make-object%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">make-object</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=draw&amp;rel=color_.html&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">color%</a></span><span class="hspace">&nbsp;</span><span class="RktVal">36</span><span class="hspace">&nbsp;</span><span class="RktVal">36</span><span class="hspace">&nbsp;</span><span class="RktVal">140</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(36 36 140)</span></p></td></tr></table></blockquote></div></p><p>This function does not convert integers to RGB triplets, because there is no way for it to know whether the color will be used for a pen or for a brush.
Use <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-color</a></span> and <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span> to convert integers.</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._plot/utils..rkt)._-~3epen-color))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-color%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-color</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">c</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._list%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">list/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">c</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="contracts.html#%28def._%28%28lib._plot%2Futils..rkt%29._plot-color%2Fc%29%29" class="RktValLink" data-pltdoc="x">plot-color/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Converts a <span style="font-style: italic">line</span> color to an RGB triplet. This function interprets integer colors as darker and more saturated than <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span> does.</div></p><p>Non-integer colors are converted using <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ecolor%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>color</a></span>.
Integer colors are chosen for good pairwise contrast, especially between neighbors.
Integer colors repeat starting with <span class="RktVal">128</span>.</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._equal%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">equal?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">8</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="plotting.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot%29%29" class="RktValLink" data-pltdoc="x">plot</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._contour-intervals%29%29" class="RktValLink" data-pltdoc="x">contour-intervals</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=lambda.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._%7Ece%7Ebb%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">&#955;</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">x</span><span class="hspace">&nbsp;</span><span class="RktSym">y</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252B%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">+</a></span><span class="hspace">&nbsp;</span><span class="RktSym">x</span><span class="hspace">&nbsp;</span><span class="RktSym">y</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:levels</span><span class="hspace">&nbsp;</span><span class="RktVal">7</span><span class="hspace">&nbsp;</span><span class="RktPn">#:contour-styles</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">transparent</span><span class="RktVal">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:colors</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-color</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Flist..rkt%2529._build-list%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">build-list</a></span><span class="hspace">&nbsp;</span><span class="RktVal">8</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=values.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._values%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">values</a></span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img style="vertical-align: 0px; margin: -3px -3px -3px -3px;" src="pict_81.png" alt="image" width="406" height="406"/></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._plot/utils..rkt)._-~3ebrush-color))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">c</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._list%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">list/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">c</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="contracts.html#%28def._%28%28lib._plot%2Futils..rkt%29._plot-color%2Fc%29%29" class="RktValLink" data-pltdoc="x">plot-color/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Converts a <span style="font-style: italic">fill</span> color to an RGB triplet. This function interprets integer colors as lighter and less saturated than <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-color</a></span> does.</div></p><p>Non-integer colors are converted using <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ecolor%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>color</a></span>.
Integer colors are chosen for good pairwise contrast, especially between neighbors.
Integer colors repeat starting with <span class="RktVal">128</span>.</p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._equal%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">equal?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">8</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="plotting.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot%29%29" class="RktValLink" data-pltdoc="x">plot</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._contour-intervals%29%29" class="RktValLink" data-pltdoc="x">contour-intervals</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=lambda.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._%7Ece%7Ebb%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">&#955;</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">x</span><span class="hspace">&nbsp;</span><span class="RktSym">y</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252B%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">+</a></span><span class="hspace">&nbsp;</span><span class="RktSym">x</span><span class="hspace">&nbsp;</span><span class="RktSym">y</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-2</span></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:levels</span><span class="hspace">&nbsp;</span><span class="RktVal">7</span><span class="hspace">&nbsp;</span><span class="RktPn">#:contour-styles</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">transparent</span><span class="RktVal">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:colors</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Flist..rkt%2529._build-list%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">build-list</a></span><span class="hspace">&nbsp;</span><span class="RktVal">8</span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=values.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._values%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">values</a></span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img style="vertical-align: 0px; margin: -3px -3px -3px -3px;" src="pict_82.png" alt="image" width="406" height="406"/></p></td></tr></table></blockquote></div></p><p>In the above example, <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span>ping <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span> over the list is actually unnecessary, because <span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._contour-intervals%29%29" class="RktValLink" data-pltdoc="x">contour-intervals</a></span> uses <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span> internally to convert fill colors.</p><p><div class="SIntrapara">The <span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._function-interval%29%29" class="RktValLink" data-pltdoc="x">function-interval</a></span> function generally plots areas using a fill color and lines using a line color.
Both kinds of color have the default value <span class="RktVal">3</span>.
The following example reverses the default behavior; i.e it draws areas using <span style="font-style: italic">line</span> color <span class="RktVal">3</span> and lines using <span style="font-style: italic">fill</span> color <span class="RktVal">3</span>:
</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="plotting.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot%29%29" class="RktValLink" data-pltdoc="x">plot</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._function-interval%29%29" class="RktValLink" data-pltdoc="x">function-interval</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._sin%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">sin</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=lambda.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._%7Ece%7Ebb%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">&#955;</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-4</span></span><span class="hspace">&nbsp;</span><span class="RktVal">4</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:color</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">3</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:line1-color</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">3</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:line2-color</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-color%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-color</a></span><span class="hspace">&nbsp;</span><span class="RktVal">3</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:line1-width</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="hspace">&nbsp;</span><span class="RktPn">#:line2-width</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img style="vertical-align: 0px; margin: -3px -3px -3px -3px;" src="pict_83.png" alt="image" width="406" height="406"/></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._plot/utils..rkt)._-~3epen-style))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-style%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-style</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">s</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=symbols.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._symbol%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">symbol?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">s</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="contracts.html#%28def._%28%28lib._plot%2Futils..rkt%29._plot-pen-style%2Fc%29%29" class="RktValLink" data-pltdoc="x">plot-pen-style/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Converts a symbolic pen style or a number to a symbolic pen style.
Symbols are unchanged.
Integer pen styles repeat starting at <span class="RktVal">5</span>.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._eq%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-style%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-style</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-style%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-style</a></span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3epen-style%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>pen-style</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">3</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(solid dot long-dash short-dash dot-dash)</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._plot/utils..rkt)._-~3ebrush-style))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-style%29%29" class="RktValDef RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-style</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">s</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=symbols.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._symbol%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">symbol?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">s</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="contracts.html#%28def._%28%28lib._plot%2Futils..rkt%29._plot-brush-style%2Fc%29%29" class="RktValLink" data-pltdoc="x">plot-brush-style/c</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Converts a symbolic brush style or a number to a symbolic brush style.
Symbols are unchanged.
Integer brush styles repeat starting at <span class="RktVal">7</span>.</div></p><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._eq%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">eq?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-style%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-style</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-style%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-style</a></span><span class="hspace">&nbsp;</span><span class="RktVal">7</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-style%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-style</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">3</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(solid bdiagonal-hatch fdiagonal-hatch crossdiag-hatch)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._-~3ebrush-style%29%29" class="RktValLink" data-pltdoc="x"><span class="nobreak">-&gt;</span>brush-style</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">4</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="hspace">&nbsp;</span><span class="RktVal">6</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(horizontal-hatch vertical-hatch cross-hatch)</span></p></td></tr></table></blockquote></div></p><h4 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;Plot-Specific_Math&quot;">7.4<tt>&nbsp;</tt><a name="(part._.Plot-.Specific_.Math)"></a>Plot-Specific Math</h4><h5 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;Real_Functions&quot;">7.4.1<tt>&nbsp;</tt><a name="(part._.Real_.Functions)"></a>Real Functions</h5><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._polar-~3ecartesian))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._polar-~3ecartesian%29%29" class="RktValDef RktValLink" data-pltdoc="x">polar-&gt;cartesian</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">&#952;</span><span class="hspace">&nbsp;</span><span class="RktVar">r</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vector%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">&#952;</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">r</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Converts 2D polar coordinates to 3D cartesian coordinates.</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._plot/utils..rkt)._3d-polar-~3e3d-cartesian))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._3d-polar-~3e3d-cartesian%29%29" class="RktValDef RktValLink" data-pltdoc="x">3d-polar-&gt;3d-cartesian</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">&#952;</span><span class="hspace">&nbsp;</span><span class="RktVar">&#961;</span><span class="hspace">&nbsp;</span><span class="RktVar">r</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vector%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">&#952;</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">&#961;</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">r</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Converts 3D polar coordinates to 3D cartesian coordinates.
See <span class="RktSym"><a href="renderer3d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._parametric3d%29%29" class="RktValLink" data-pltdoc="x">parametric3d</a></span> for an example of use.</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._plot/utils..rkt)._ceiling-log/base))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ceiling-log%2Fbase%29%29" class="RktValDef RktValLink" data-pltdoc="x">ceiling-log/base</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">b</span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">b</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._and%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3e%7E3d%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&gt;=/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3e%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&gt;/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._ceiling%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">ceiling</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252F%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">/</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="stt"> </span><span class="RktVar">b</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span>, but <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ceiling-log%2Fbase%29%29" class="RktValLink" data-pltdoc="x">ceiling-log/base</a></span> is not susceptible to floating-point error.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._ceiling%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">ceiling</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252F%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">/</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="hspace">&nbsp;</span><span class="RktVal">100</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">2.0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ceiling-log%2Fbase%29%29" class="RktValLink" data-pltdoc="x">ceiling-log/base</a></span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="hspace">&nbsp;</span><span class="RktVal">100</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">2</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._ceiling%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">ceiling</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252F%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">/</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1/1000</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-2.0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ceiling-log%2Fbase%29%29" class="RktValLink" data-pltdoc="x">ceiling-log/base</a></span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="hspace">&nbsp;</span><span class="RktVal">1/1000</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-3</span></p></td></tr></table></blockquote></div></p></div><div class="SIntrapara">Various number-formatting functions use this.</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._plot/utils..rkt)._floor-log/base))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._floor-log%2Fbase%29%29" class="RktValDef RktValLink" data-pltdoc="x">floor-log/base</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">b</span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">b</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._and%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3e%7E3d%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&gt;=/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3e%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&gt;/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._floor%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">floor</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252F%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">/</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="stt"> </span><span class="RktVar">b</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span>, but <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._floor-log%2Fbase%29%29" class="RktValLink" data-pltdoc="x">floor-log/base</a></span> is not susceptible to floating-point error.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._floor%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">floor</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252F%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">/</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="hspace">&nbsp;</span><span class="RktVal">100</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">2.0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._floor-log%2Fbase%29%29" class="RktValLink" data-pltdoc="x">floor-log/base</a></span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="hspace">&nbsp;</span><span class="RktVal">100</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">2</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._floor%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">floor</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252F%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">/</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1000</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._log%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">log</a></span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">2.0</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._floor-log%2Fbase%29%29" class="RktValLink" data-pltdoc="x">floor-log/base</a></span><span class="hspace">&nbsp;</span><span class="RktVal">10</span><span class="hspace">&nbsp;</span><span class="RktVal">1000</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">3</span></p></td></tr></table></blockquote></div></p></div><div class="SIntrapara">This is a generalization of <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528lib._racket%252Fmath..rkt%2529._order-of-magnitude%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">order-of-magnitude</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._plot/utils..rkt)._maybe-inexact-~3eexact))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._maybe-inexact-~3eexact%29%29" class="RktValDef RktValLink" data-pltdoc="x">maybe-inexact-&gt;exact</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._or%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._rational%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">rational?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._or%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._rational%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">rational?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#f</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#f</span> if <span class="RktVar">x</span> is <span class="RktVal">#f</span>; otherwise <span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._inexact-%7E3eexact%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">inexact-&gt;exact</a></span><span class="stt"> </span><span class="RktVar">x</span><span class="RktPn">)</span>.
Use this to convert interval endpoints, which may be <span class="RktVal">#f</span>, to exact numbers.</div></p><h5 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;math.vectors&quot;">7.4.2<tt>&nbsp;</tt><a name="(part._math..vectors)"></a>Vector Functions</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._plot/utils..rkt)._v+))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2B%29%29" class="RktValDef RktValLink" data-pltdoc="x">v+</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span><span class="RktVar">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v2</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</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._plot/utils..rkt)._v-))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v-%29%29" class="RktValDef RktValLink" data-pltdoc="x">v-</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span><span class="RktVar">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v2</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</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._plot/utils..rkt)._vneg))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vneg%29%29" class="RktValDef RktValLink" data-pltdoc="x">vneg</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</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._plot/utils..rkt)._v*))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2A%29%29" class="RktValDef RktValLink" data-pltdoc="x">v*</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span><span class="RktVar">c</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">c</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</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._plot/utils..rkt)._v/))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2F%29%29" class="RktValDef RktValLink" data-pltdoc="x">v/</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span><span class="RktVar">c</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">c</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Vector arithmetic. Equivalent to <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=vectors.html%23%2528def._%2528%2528lib._racket%252Fvector..rkt%2529._vector-map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector-map</a></span>p-ing arithmetic operators over vectors, but specialized so that 2- and 3-vector operations are much faster.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2B%29%29" class="RktValLink" data-pltdoc="x">v+</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">3</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(4 6)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v-%29%29" class="RktValLink" data-pltdoc="x">v-</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">3</span><span class="hspace">&nbsp;</span><span class="RktVal">4</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(-2 -2)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vneg%29%29" class="RktValLink" data-pltdoc="x">vneg</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(-1 -2)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2A%29%29" class="RktValLink" data-pltdoc="x">v*</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">3</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(2 4 6)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v%2F%29%29" class="RktValLink" data-pltdoc="x">v/</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">3</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(1/2 1 3/2)</span></p></td></tr></table></blockquote></div></p></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._plot/utils..rkt)._v~3d))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v~3d%29%29" class="RktValDef RktValLink" data-pltdoc="x">v=</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span><span class="RktVar">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v2</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Like <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._equal%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">equal?</a></span> specialized to numeric vectors, but compares elements using <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%7E3d%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">=</a></span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._equal%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">equal?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._equal%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">equal?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1.0</span><span class="hspace">&nbsp;</span><span class="RktVal">2.0</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._v~3d%29%29" class="RktValLink" data-pltdoc="x">v=</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1.0</span><span class="hspace">&nbsp;</span><span class="RktVal">2.0</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr></table></blockquote></div></p></div></p><p><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._plot/utils..rkt)._vcross))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross%29%29" class="RktValDef RktValLink" data-pltdoc="x">vcross</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span><span class="RktVar">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vector%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vector%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v2</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vector%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the right-hand vector cross product of <span class="RktVar">v1</span> and <span class="RktVar">v2</span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross%29%29" class="RktValLink" data-pltdoc="x">vcross</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(0 0 1)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross%29%29" class="RktValLink" data-pltdoc="x">vcross</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(0 0 -1)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross%29%29" class="RktValLink" data-pltdoc="x">vcross</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(0 0 0)</span></p></td></tr></table></blockquote></div></p></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._plot/utils..rkt)._vcross2))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross2%29%29" class="RktValDef RktValLink" data-pltdoc="x">vcross2</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span><span class="RktVar">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vector%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v2</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vector%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the signed area of the 2D parallelogram with sides <span class="RktVar">v1</span> and <span class="RktVar">v2</span>.
Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=vectors.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._vector-ref%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector-ref</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross%29%29" class="RktValLink" data-pltdoc="x">vcross</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=vectors.html%23%2528def._%2528%2528lib._racket%252Fvector..rkt%2529._vector-append%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector-append</a></span><span class="stt"> </span><span class="RktVar">v1</span><span class="stt"> </span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=vectors.html%23%2528def._%2528%2528lib._racket%252Fvector..rkt%2529._vector-append%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vector-append</a></span><span class="stt"> </span><span class="RktVar">v2</span><span class="stt"> </span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="stt"> </span><span class="RktVal">2</span><span class="RktPn">)</span> but faster.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross2%29%29" class="RktValLink" data-pltdoc="x">vcross2</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">1</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcross2%29%29" class="RktValLink" data-pltdoc="x">vcross2</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">-1</span></p></td></tr></table></blockquote></div></p></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._plot/utils..rkt)._vdot))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vdot%29%29" class="RktValDef RktValLink" data-pltdoc="x">vdot</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span><span class="RktVar">v2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v1</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v2</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the dot product of <span class="RktVar">v1</span> and <span class="RktVar">v2</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._plot/utils..rkt)._vmag~5e2))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vmag~5e2%29%29" class="RktValDef RktValLink" data-pltdoc="x">vmag^2</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the squared magnitude of <span class="RktVar">v</span>. Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vdot%29%29" class="RktValLink" data-pltdoc="x">vdot</a></span><span class="stt"> </span><span class="RktVar">v</span><span class="stt"> </span><span class="RktVar">v</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._plot/utils..rkt)._vmag))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vmag%29%29" class="RktValDef RktValLink" data-pltdoc="x">vmag</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the magnitude of <span class="RktVar">v</span>. Equivalent to <span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._sqrt%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">sqrt</a></span><span class="stt"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vmag~5e2%29%29" class="RktValLink" data-pltdoc="x">vmag^2</a></span><span class="stt"> </span><span class="RktVar">v</span><span class="RktPn">)</span><span class="RktPn">)</span>.</div></p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._plot/utils..rkt)._vnormalize))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vnormalize%29%29" class="RktValDef RktValLink" data-pltdoc="x">vnormalize</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns a normal vector in the same direction as <span class="RktVar">v</span>. If <span class="RktVar">v</span> is a zero vector, returns <span class="RktVar">v</span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vnormalize%29%29" class="RktValLink" data-pltdoc="x">vnormalize</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(0.7071067811865475 0.7071067811865475 0)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vnormalize%29%29" class="RktValLink" data-pltdoc="x">vnormalize</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(0.5773502691896258 0.5773502691896258 0.5773502691896258)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vnormalize%29%29" class="RktValLink" data-pltdoc="x">vnormalize</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">0.0</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(0 0 0.0)</span></p></td></tr></table></blockquote></div></p></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._plot/utils..rkt)._vcenter))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcenter%29%29" class="RktValDef RktValLink" data-pltdoc="x">vcenter</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">vs</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">vs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns the center of the smallest bounding box that contains <span class="RktVar">vs</span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vcenter%29%29" class="RktValLink" data-pltdoc="x">vcenter</a></span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">(</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktVal">)</span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">2</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'#(3/2 3/2)</span></p></td></tr></table></blockquote></div></p></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._plot/utils..rkt)._vrational~3f))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vrational~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">vrational?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">v</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">v</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fvector..rkt%2529._vectorof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">vectorof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Returns <span class="RktVal">#t</span> if every element of <span class="RktVar">v</span> is <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._rational%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">rational?</a></span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vrational~3f%29%29" class="RktValLink" data-pltdoc="x">vrational?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#t</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vrational~3f%29%29" class="RktValLink" data-pltdoc="x">vrational?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">+inf.0</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">#f</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._vrational~3f%29%29" class="RktValLink" data-pltdoc="x">vrational?</a></span><span class="hspace">&nbsp;</span><span class="RktVal">#</span><span class="RktVal">(</span><span class="RktVal">#f</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktVal">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktErr">vrational?: contract violation</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">expected: Real</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">given: #f</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">in: an element of</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">the 1st argument of</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">(-&gt; (vectorof Real) any)</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">contract from: </span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">&lt;pkgs&gt;/plot-lib/plot/private/common/math.rkt</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">blaming: top-level</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;</span><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">(assuming the contract is correct)</span></p></td></tr><tr><td><p><span class="RktErr"></span><span class="hspace">&nbsp;&nbsp;</span><span class="RktErr">at: &lt;pkgs&gt;/plot-lib/plot/private/common/math.rkt:330.9</span></p></td></tr></table></blockquote></div></p></div></p><h5 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;math.intervals&quot;">7.4.3<tt>&nbsp;</tt><a name="(part._math..intervals)"></a>Intervals and Interval Functions</h5><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>struct</p></div></div><table cellspacing="0" cellpadding="0" class="RForeground"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=define-struct.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._struct%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">struct</a></span></td><td><span class="hspace">&nbsp;</span></td><td><a name="(def._((lib._plot/utils..rkt)._ivl-max))"></a><a name="(def._((lib._plot/utils..rkt)._ivl-min))"></a><a name="(def._((lib._plot/utils..rkt)._make-ivl))"></a><a name="(def._((lib._plot/utils..rkt)._ivl~3f))"></a><a name="(def._((lib._plot/utils..rkt)._struct~3aivl))"></a><a name="(def._((lib._plot/utils..rkt)._ivl))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValDef RktValLink" data-pltdoc="x">ivl</a></span></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">min</span><span class="stt"> </span><span class="RktSym">max</span><span class="RktPn">)</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:extra-constructor-name</span><span class="hspace">&nbsp;</span><span class="RktSym">make-ivl</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktSym">min</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktSym">max</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Represents a closed interval.</div></p><p><div class="SIntrapara">An interval with two real-valued endpoints always contains the endpoints in order:
</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(ivl 0 1)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(ivl 0 1)</span></p></td></tr></table></blockquote></div></p><p><div class="SIntrapara">An interval can have infinite endpoints:
</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(ivl -inf.0 0)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">+inf.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(ivl 0 +inf.0)</span></p></td></tr><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="hspace">&nbsp;</span><span class="RktVal">+inf.0</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(ivl -inf.0 +inf.0)</span></p></td></tr></table></blockquote></div></p><p>Functions that return rectangle renderers, such as <span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._rectangles%29%29" class="RktValLink" data-pltdoc="x">rectangles</a></span> and <span class="RktSym"><a href="renderer3d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._discrete-histogram3d%29%29" class="RktValLink" data-pltdoc="x">discrete-histogram3d</a></span>, accept vectors of <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span>s as arguments.
The <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span> struct type is also provided by <a href="index.html" class="RktModLink" data-pltdoc="x"><span class="RktSym">plot</span></a> so users of such renderers do not have to require <a href="" class="RktModLink" data-pltdoc="x"><span class="RktSym">plot/utils</span></a>.</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._plot/utils..rkt)._rational-ivl~3f))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._rational-ivl~3f%29%29" class="RktValDef RktValLink" data-pltdoc="x">rational-ivl?</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">i</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=booleans.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._boolean%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">boolean?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">i</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._any%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" 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">i</span> is an interval and each of its endpoints is <span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._rational%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">rational?</a></span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528lib._racket%252Fprivate%252Fmap..rkt%2529._map%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">map</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._rational-ivl~3f%29%29" class="RktValLink" data-pltdoc="x">rational-ivl?</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=pairs.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._list%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">list</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-1</span></span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl%29%29" class="RktValLink" data-pltdoc="x">ivl</a></span><span class="hspace">&nbsp;</span><span class="RktVal"><span class="nobreak">-i</span>nf.0</span><span class="hspace">&nbsp;</span><span class="RktVal">2</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktVal">'</span><span class="RktVal">bob</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">'(#t #f #f)</span></p></td></tr></table></blockquote></div></p></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._plot/utils..rkt)._bounds-~3eintervals))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._bounds-~3eintervals%29%29" class="RktValDef RktValLink" data-pltdoc="x">bounds-&gt;intervals</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">xs</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl~3f%29%29" class="RktValLink" data-pltdoc="x">ivl?</a></span><span class="RktPn">)</span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">xs</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._listof%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">listof</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Given a list of points, returns intervals between each pair.</div></p><p><div class="SIntrapara">Use this to construct inputs for <span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._rectangles%29%29" class="RktValLink" data-pltdoc="x">rectangles</a></span> and <span class="RktSym"><a href="renderer3d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._rectangles3d%29%29" class="RktValLink" data-pltdoc="x">rectangles3d</a></span>.
</div><div class="SIntrapara"><p><div class="SIntrapara">Example:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._bounds-~3eintervals%29%29" class="RktValLink" data-pltdoc="x">bounds-&gt;intervals</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._linear-seq%29%29" class="RktValLink" data-pltdoc="x">linear-seq</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="hspace">&nbsp;</span><span class="RktVal">5</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktRes">(list (ivl 0 1/4) (ivl 1/4 1/2) (ivl 1/2 3/4) (ivl 3/4 1))</span></p></td></tr></table></blockquote></div></p></div></p><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._plot/utils..rkt)._clamp-real))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._clamp-real%29%29" class="RktValDef RktValLink" data-pltdoc="x">clamp-real</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span><span class="RktVar">i</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">i</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._ivl~3f%29%29" class="RktValLink" data-pltdoc="x">ivl?</a></span></td></tr></table></blockquote><h4 x-source-module="(lib &quot;plot/scribblings/plot.scrbl&quot;)" x-source-pkg="plot-doc" x-part-tag="&quot;Dates_and_Times&quot;">7.5<tt>&nbsp;</tt><a name="(part._.Dates_and_.Times)"></a>Dates and Times</h4><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._plot/utils..rkt)._datetime-~3ereal))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._datetime-~3ereal%29%29" class="RktValDef RktValLink" data-pltdoc="x">datetime-&gt;real</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">x</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">x</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._or%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">or/c</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time~3f%29%29" class="RktValLink" data-pltdoc="x">plot-time?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=time.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._date%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">date?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=time.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._date%252A%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">date*?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=db&amp;rel=sql-types.html%23%2528def._%2528%2528lib._db%252Fbase..rkt%2529._sql-date%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">sql-date?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=db&amp;rel=sql-types.html%23%2528def._%2528%2528lib._db%252Fbase..rkt%2529._sql-time%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">sql-time?</a></span><span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=db&amp;rel=sql-types.html%23%2528def._%2528%2528lib._db%252Fbase..rkt%2529._sql-timestamp%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">sql-timestamp?</a></span><span class="RktPn">)</span></td></tr></table></blockquote></div><div class="SIntrapara">Converts various date/time representations into UTC seconds, respecting time zone offsets.</div></p><p>For dates, the value returned is the number of seconds since <span style="font-style: italic">a system-dependent UTC epoch</span>.
See <span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._date-ticks%29%29" class="RktValLink" data-pltdoc="x">date-ticks</a></span> for more information.</p><p>To plot a time series using dates pulled from an SQL database, simply set the relevant axis ticks (probably <span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._plot-x-ticks%29%29" class="RktValLink" data-pltdoc="x">plot-x-ticks</a></span>) to <span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._date-ticks%29%29" class="RktValLink" data-pltdoc="x">date-ticks</a></span>, and convert the dates to seconds using <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._datetime-~3ereal%29%29" class="RktValLink" data-pltdoc="x">datetime-&gt;real</a></span> before passing them to <span class="RktSym"><a href="renderer2d.html#%28def._%28%28lib._plot%2Fmain..rkt%29._lines%29%29" class="RktValLink" data-pltdoc="x">lines</a></span>.
To keep time zone offsets from influencing the plot, set them to <span class="RktVal">0</span> first.</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>struct</p></div></div><table cellspacing="0" cellpadding="0" class="RForeground"><tr><td><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=define-struct.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._struct%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">struct</a></span></td><td><span class="hspace">&nbsp;</span></td><td><a name="(def._((lib._plot/utils..rkt)._plot-time-day))"></a><a name="(def._((lib._plot/utils..rkt)._plot-time-hour))"></a><a name="(def._((lib._plot/utils..rkt)._plot-time-minute))"></a><a name="(def._((lib._plot/utils..rkt)._plot-time-second))"></a><a name="(def._((lib._plot/utils..rkt)._make-plot-time))"></a><a name="(def._((lib._plot/utils..rkt)._plot-time~3f))"></a><a name="(def._((lib._plot/utils..rkt)._struct~3aplot-time))"></a><a name="(def._((lib._plot/utils..rkt)._plot-time))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time%29%29" class="RktValDef RktValLink" data-pltdoc="x">plot-time</a></span></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">second</span><span class="stt"> </span><span class="RktSym">minute</span><span class="stt"> </span><span class="RktSym">hour</span><span class="stt"> </span><span class="RktSym">day</span><span class="RktPn">)</span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">#:extra-constructor-name</span><span class="hspace">&nbsp;</span><span class="RktSym">make-plot-time</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktSym">second</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._and%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">and/c</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3e%7E3d%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&gt;=/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fprivate%252Fmisc..rkt%2529._%7E3c%252Fc%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">&lt;/c</a></span><span class="hspace">&nbsp;</span><span class="RktVal">60</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktSym">minute</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._integer-in%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">integer-in</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">59</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktSym">hour</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=data-structure-contracts.html%23%2528def._%2528%2528lib._racket%252Fcontract%252Fbase..rkt%2529._integer-in%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">integer-in</a></span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">23</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktSym">day</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._exact-integer%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">exact-integer?</a></span></td></tr></table></blockquote></div><div class="SIntrapara">A time representation that accounts for days, negative times (using negative days), and fractional seconds.</div></p><p>Plot (specifically <span class="RktSym"><a href="ticks_and_transforms.html#%28def._%28%28lib._plot%2Fmain..rkt%29._time-ticks%29%29" class="RktValLink" data-pltdoc="x">time-ticks</a></span>) uses <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time%29%29" class="RktValLink" data-pltdoc="x">plot-time</a></span> internally to format times, but because renderer-producing functions require only real values,
user code should not need it. It is provided just in case.</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._plot/utils..rkt)._plot-time-~3eseconds))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time-~3eseconds%29%29" class="RktValDef RktValLink" data-pltdoc="x">plot-time-&gt;seconds</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">t</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">t</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time~3f%29%29" class="RktValLink" data-pltdoc="x">plot-time?</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._plot/utils..rkt)._seconds-~3eplot-time))"></a><span title="Provided from: plot/utils | Package: plot-lib"><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._seconds-~3eplot-time%29%29" class="RktValDef RktValLink" data-pltdoc="x">seconds-&gt;plot-time</a></span></span><span class="hspace">&nbsp;</span><span class="RktVar">s</span><span class="RktPn">)</span><span class="hspace">&nbsp;</span>&rarr;<span class="hspace">&nbsp;</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time~3f%29%29" class="RktValLink" data-pltdoc="x">plot-time?</a></span></p></blockquote></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="RktVar">s</span><span class="hspace">&nbsp;</span>:<span class="hspace">&nbsp;</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=number-types.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._real%7E3f%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">real?</a></span></td></tr></table></td></tr></table></blockquote></div><div class="SIntrapara">Convert <span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time%29%29" class="RktValLink" data-pltdoc="x">plot-time</a></span>s to real seconds, and vice-versa.
</div><div class="SIntrapara"><p><div class="SIntrapara">Examples:</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=define.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._define%2529%2529&amp;version=6.7" class="RktStxLink Sq" data-pltdoc="x">define</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym">plot-time+</span><span class="hspace">&nbsp;</span><span class="RktSym">t1</span><span class="hspace">&nbsp;</span><span class="RktSym">t2</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._seconds-~3eplot-time%29%29" class="RktValLink" data-pltdoc="x">seconds-&gt;plot-time</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="https://download.racket-lang.org/docs/6.7/html/local-redirect/index.html?doc=reference&amp;rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252B%2529%2529&amp;version=6.7" class="RktValLink Sq" data-pltdoc="x">+</a></span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time-~3eseconds%29%29" class="RktValLink" data-pltdoc="x">plot-time-&gt;seconds</a></span><span class="hspace">&nbsp;</span><span class="RktSym">t1</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time-~3eseconds%29%29" class="RktValLink" data-pltdoc="x">plot-time-&gt;seconds</a></span><span class="hspace">&nbsp;</span><span class="RktSym">t2</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">&gt; </span><span class="RktPn">(</span><span class="RktSym">plot-time+</span><span class="hspace">&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time%29%29" class="RktValLink" data-pltdoc="x">plot-time</a></span><span class="hspace">&nbsp;</span><span class="RktVal">32</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">12</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace">&nbsp;&nbsp;</span><span class="hspace">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._plot%2Futils..rkt%29._plot-time%29%29" class="RktValLink" data-pltdoc="x">plot-time</a></span><span class="hspace">&nbsp;</span><span class="RktVal">32</span><span class="hspace">&nbsp;</span><span class="RktVal">0</span><span class="hspace">&nbsp;</span><span class="RktVal">14</span><span class="hspace">&nbsp;</span><span class="RktVal">1</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><span class="RktRes">(plot-time 4 1 2 3)</span></p></td></tr></table></blockquote></div></p></div></p><div class="navsetbottom"><span class="navleft"><form class="searchform"><input class="searchbox" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, &quot;6.7&quot;, &quot;../&quot;);" onfocus="this.style.color=&quot;black&quot;; 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