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<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"/><title>4.9 Compositing</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,"tocview_0");">►</a></td><td></td><td><a href="index.html" class="tocviewlink" data-pltdoc="x">Images</a></td></tr></table></div><div class="tocviewsublisttop" style="display: none;" id="tocview_0"><table cellspacing="0" cellpadding="0"><tr><td align="right">1 </td><td><a href="Icons.html" class="tocviewlink" data-pltdoc="x">Icons</a></td></tr><tr><td align="right">2 </td><td><a href="Logos.html" class="tocviewlink" data-pltdoc="x">Logos</a></td></tr><tr><td align="right">3 </td><td><a href="Embedding_Bitmaps_in_Compiled_Files.html" class="tocviewlink" data-pltdoc="x">Embedding Bitmaps in Compiled Files</a></td></tr><tr><td align="right">4 </td><td><a href="flomap_title.html" class="tocviewselflink" data-pltdoc="x">Floating-<wbr></wbr>Point Bitmaps</a></td></tr></table></div></div><div class="tocviewlist"><table cellspacing="0" cellpadding="0"><tr><td style="width: 1em;"><a href="javascript:void(0);" title="Expand/Collapse" class="tocviewtoggle" onclick="TocviewToggle(this,"tocview_1");">▼</a></td><td>4 </td><td><a href="flomap_title.html" class="tocviewlink" data-pltdoc="x">Floating-<wbr></wbr>Point Bitmaps</a></td></tr></table><div class="tocviewsublistbottom" style="display: block;" id="tocview_1"><table cellspacing="0" cellpadding="0"><tr><td align="right">4.1 </td><td><a href="Overview.html" class="tocviewlink" data-pltdoc="x">Overview</a></td></tr><tr><td align="right">4.2 </td><td><a href="Struct_Type_and_Accessors.html" class="tocviewlink" data-pltdoc="x">Struct Type and Accessors</a></td></tr><tr><td align="right">4.3 </td><td><a href="Conversion_and_Construction.html" class="tocviewlink" data-pltdoc="x">Conversion and Construction</a></td></tr><tr><td align="right">4.4 </td><td><a href="Component_Operations.html" class="tocviewlink" data-pltdoc="x">Component Operations</a></td></tr><tr><td align="right">4.5 </td><td><a href="Pointwise_Operations.html" class="tocviewlink" data-pltdoc="x">Pointwise Operations</a></td></tr><tr><td align="right">4.6 </td><td><a href="Gradients_and_Normals.html" class="tocviewlink" data-pltdoc="x">Gradients and Normals</a></td></tr><tr><td align="right">4.7 </td><td><a href="Blur.html" class="tocviewlink" data-pltdoc="x">Blur</a></td></tr><tr><td align="right">4.8 </td><td><a href="Resizing.html" class="tocviewlink" data-pltdoc="x">Resizing</a></td></tr><tr><td align="right">4.9 </td><td><a href="" class="tocviewselflink" data-pltdoc="x">Compositing</a></td></tr><tr><td align="right">4.10 </td><td><a href="Spatial_Transformations.html" class="tocviewlink" data-pltdoc="x">Spatial Transformations</a></td></tr><tr><td align="right">4.11 </td><td><a href="Effects.html" class="tocviewlink" data-pltdoc="x">Effects</a></td></tr></table></div></div></div><div class="tocsub"><div class="tocsubtitle">On this page:</div><table class="tocsublist" cellspacing="0"><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>pin</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%2A%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>pin*</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lt-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>lt-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lc-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>lc-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lb-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>lb-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-ct-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>ct-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-cc-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>cc-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-cb-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>cb-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-rt-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>rt-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-rc-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>rc-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-rb-superimpose%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>rb-<wbr></wbr>superimpose</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-vl-append%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>vl-<wbr></wbr>append</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-vc-append%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>vc-<wbr></wbr>append</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-vr-append%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>vr-<wbr></wbr>append</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-ht-append%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>ht-<wbr></wbr>append</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-hc-append%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>hc-<wbr></wbr>append</span></span></a></td></tr><tr><td><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-hb-append%29%29" class="tocsublink" data-pltdoc="x"><span class="RktSym"><span class="RktValLink">flomap-<wbr></wbr>hb-<wbr></wbr>append</span></span></a></td></tr></table></div></div><div class="maincolumn"><div class="main"><div class="navsettop"><span class="navleft"><form class="searchform"><input class="searchbox" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, "6.3", "../");" onfocus="this.style.color="black"; this.style.textAlign="left"; if (this.value == "...search manuals...") this.value="";" onblur="if (this.value.match(/^ *$/)) { this.style.color="#888"; this.style.textAlign="center"; this.value="...search manuals..."; }"/></form> <a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("6.3");">top</a></span><span class="navright"> <a href="Resizing.html" title="backward to "4.8 Resizing"" data-pltdoc="x">← prev</a> <a href="flomap_title.html" title="up to "4 Floating-Point Bitmaps"" data-pltdoc="x">up</a> <a href="Spatial_Transformations.html" title="forward to "4.10 Spatial Transformations"" data-pltdoc="x">next →</a></span> </div><h4 x-source-module="(lib "images/scribblings/images.scrbl")" x-source-pkg="images-doc" x-part-tag=""Compositing"">4.9<tt> </tt><a name="(part._.Compositing)"></a>Compositing</h4><p>Unless stated otherwise, compositing functions assume every flomap argument has an alpha component.</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._images/flomap..rkt)._flomap-pin))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-pin</a></span></span><span class="hspace"> </span><span class="RktVar">fm1</span><span class="hspace"> </span><span class="RktVar">x1</span><span class="hspace"> </span><span class="RktVar">y1</span><span class="hspace"> </span><span class="RktVar">fm2</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm1</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">x1</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Integer%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Integer</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">y1</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Integer%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Integer</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm2</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="RktPn">(</span><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-pin</a></span></span><span class="hspace"> </span><span class="RktVar">fm1</span><span class="hspace"> </span><span class="RktVar">x1</span><span class="hspace"> </span><span class="RktVar">y1</span><span class="hspace"> </span><span class="RktVar">fm2</span><span class="hspace"> </span><span class="RktVar">x2</span><span class="hspace"> </span><span class="RktVar">y2</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm1</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">x1</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Integer%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Integer</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">y1</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Integer%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Integer</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm2</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">x2</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Integer%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Integer</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">y2</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Integer%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Integer</a></span></td></tr></table></blockquote></div><div class="SIntrapara">Superimposes <span class="RktVar">fm2</span> over <span class="RktVar">fm1</span> so that point <span class="RktVar">x2</span> <span class="RktVar">y2</span> on flomap <span class="RktSym">f2</span> is directly over point <span class="RktVar">x1</span> <span class="RktVar">y1</span> on flomap <span class="RktSym">f1</span>.
If <span class="RktVar">x2</span> and <span class="RktVar">y2</span> are not provided, they are assumed to be <span class="RktVal">0</span>.
The result is expanded as necessary.</div></p><p><span class="RktVar">fm1</span> and <span class="RktVar">fm2</span> must have the same number of components.</p><p><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><p>Examples:</p></td></tr><tr><td><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="RktValLink" data-pltdoc="x">flomap-pin</a></span><span class="hspace"> </span><span class="RktSym">fm</span><span class="hspace"> </span><span class="RktVal"><span class="nobreak">-1</span>0</span><span class="hspace"> </span><span class="RktVal"><span class="nobreak">-1</span>0</span><span class="hspace"> </span><span class="RktSym">sine-fm</span><span class="RktPn">)</span></td></tr><tr><td><p><span class="RktErr">flomap-pin: expected two flomaps with the same number of</span></p></td></tr><tr><td><p><span class="RktErr">components; given one with 4 and one with 1</span></p></td></tr><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=define.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._define%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">define</a></span><span class="hspace"> </span><span class="RktSym">circle-fm</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._draw-flomap%29%29" class="RktValLink" data-pltdoc="x">draw-flomap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=lambda.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fbase..rkt%2529._%7Ece%7Ebb%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">λ</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym">fm-dc</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=ivaraccess.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fclass-internal..rkt%2529._send%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">send</a></span><span class="hspace"> </span><span class="RktSym">fm-dc</span><span class="hspace"> </span><span class="RktSym">set-pen</span><span class="hspace"> </span><span class="RktVal">"black"</span><span class="hspace"> </span><span class="RktVal">4</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">short-dash</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=ivaraccess.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fclass-internal..rkt%2529._send%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">send</a></span><span class="hspace"> </span><span class="RktSym">fm-dc</span><span class="hspace"> </span><span class="RktSym">set-brush</span><span class="hspace"> </span><span class="RktVal">"yellow"</span><span class="hspace"> </span><span class="RktVal">'</span><span class="RktVal">solid</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=ivaraccess.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fclass-internal..rkt%2529._send%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">send</a></span><span class="hspace"> </span><span class="RktSym">fm-dc</span><span class="hspace"> </span><span class="RktSym">set-alpha</span><span class="hspace"> </span><span class="RktVal">1/2</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=ivaraccess.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fclass-internal..rkt%2529._send%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">send</a></span><span class="hspace"> </span><span class="RktSym">fm-dc</span><span class="hspace"> </span><span class="RktSym">draw-ellipse</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">2</span><span class="hspace"> </span><span class="RktVal">124</span><span class="hspace"> </span><span class="RktVal">124</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktVal">128</span><span class="hspace"> </span><span class="RktVal">128</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><table cellspacing="0" cellpadding="0"><tr><td></td></tr></table></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="RktValLink" data-pltdoc="x">flomap-pin</a></span><span class="hspace"> </span><span class="RktSym">fm</span><span class="hspace"> </span><span class="RktVal">0</span><span class="hspace"> </span><span class="RktVal">0</span><span class="hspace"> </span><span class="RktSym">circle-fm</span><span class="hspace"> </span><span class="RktVal">64</span><span class="hspace"> </span><span class="RktVal">64</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_169.png" alt="image" width="324" height="304"/></p></td></tr><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="RktValLink" data-pltdoc="x">flomap-pin</a></span><span class="hspace"> </span><span class="RktSym">sine-fm</span><span class="hspace"> </span><span class="RktVal">50</span><span class="hspace"> </span><span class="RktVal">0</span><span class="hspace"> </span><span class="RktSym">sine-fm</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_170.png" alt="image" width="150" height="100"/></p></td></tr></table></blockquote></td></tr></table></p><p>The other compositing functions are defined in terms of <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="RktValLink" data-pltdoc="x">flomap-pin</a></span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><table cellspacing="0" cellpadding="0" class="prototype RForeground"><tr><td valign="top"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-pin*))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%2A%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-pin*</a></span></span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">x1-frac</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">y1-frac</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">x2-frac</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">y2-frac</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">fm0</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td></tr><tr><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span></td><td valign="top"><span class="hspace"> </span></td><td valign="top">→</td><td valign="top"><span class="hspace"> </span></td><td valign="top"><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">x1-frac</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">y1-frac</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">x2-frac</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">y2-frac</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=ts-reference&rel=type-ref.html%23%2528form._%2528%2528lib._typed-racket%252Fbase-env%252Fbase-types..rkt%2529._.Real%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">Real</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><div class="SIntrapara">For each adjacent pair <span class="RktSym">fm1</span> <span class="RktSym">fm2</span> in the argument list, pins <span class="RktSym">fm2</span> over <span class="RktSym">fm1</span>.</div></p><p>The pin-over points are calculated from the four real arguments as follows.
If <span class="RktSym">fm1</span> is size <span class="RktSym">w1</span>×<span class="RktSym">h1</span>, then <span class="RktSym">x1</span> = <span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252A%2529%2529&version=6.3" class="RktValLink Sq" data-pltdoc="x">*</a></span><span class="stt"> </span><span class="RktSym">w1</span><span class="stt"> </span><span class="RktVar">x1-frac</span><span class="RktPn">)</span> and <span class="RktSym">y1</span> = <span class="RktPn">(</span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=generic-numbers.html%23%2528def._%2528%2528quote._%7E23%7E25kernel%2529._%252A%2529%2529&version=6.3" class="RktValLink Sq" data-pltdoc="x">*</a></span><span class="stt"> </span><span class="RktSym">h1</span><span class="stt"> </span><span class="RktVar">y1-frac</span><span class="RktPn">)</span>, and similarly for <span class="RktSym">x2</span> and <span class="RktSym">y2</span>.</p><p><div class="SIntrapara">The following example pins the upper-left corner of each <span class="RktSym">fm2</span> over a point near the upper-left corner of each <span class="RktSym">fm1</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">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%2A%29%29" class="RktValLink" data-pltdoc="x">flomap-pin*</a></span><span class="hspace"> </span><span class="RktVal">1/8</span><span class="hspace"> </span><span class="RktVal">1/8</span><span class="hspace"> </span><span class="RktVal">0</span><span class="hspace"> </span><span class="RktVal">0</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktSym">circle-fm</span><span class="hspace"> </span><span class="RktSym">circle-fm</span><span class="hspace"> </span><span class="RktSym">circle-fm</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img src="pict_171.png" alt="image" width="160" height="160"/></p></td></tr></table></blockquote></div></p><p>All the flomap superimpose and append functions are defined using <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%2A%29%29" class="RktValLink" data-pltdoc="x">flomap-pin*</a></span> with different pin-over point fractions.
For example, <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lt-superimpose%29%29" class="RktValLink" data-pltdoc="x">flomap-lt-superimpose</a></span><span class="stt"> </span><span class="RktVar">fm0</span><span class="stt"> </span><span class="RktVar">fm</span><span class="stt"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=stx-patterns.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fstxcase-scheme..rkt%2529._......%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">...</a></span><span class="RktPn">)</span> = <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%2A%29%29" class="RktValLink" data-pltdoc="x">flomap-pin*</a></span><span class="stt"> </span><span class="RktVal">0</span><span class="stt"> </span><span class="RktVal">0</span><span class="stt"> </span><span class="RktVal">0</span><span class="stt"> </span><span class="RktVal">0</span><span class="stt"> </span><span class="RktVar">fm0</span><span class="stt"> </span><span class="RktVar">fm</span><span class="stt"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=stx-patterns.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fstxcase-scheme..rkt%2529._......%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">...</a></span><span class="RktPn">)</span>,
and <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-vc-append%29%29" class="RktValLink" data-pltdoc="x">flomap-vc-append</a></span><span class="stt"> </span><span class="RktVar">fm0</span><span class="stt"> </span><span class="RktVar">fm</span><span class="stt"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=stx-patterns.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fstxcase-scheme..rkt%2529._......%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">...</a></span><span class="RktPn">)</span> = <span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%2A%29%29" class="RktValLink" data-pltdoc="x">flomap-pin*</a></span><span class="stt"> </span><span class="RktVal">1/2</span><span class="stt"> </span><span class="RktVal">1</span><span class="stt"> </span><span class="RktVal">1/2</span><span class="stt"> </span><span class="RktVal">0</span><span class="stt"> </span><span class="RktVar">fm0</span><span class="stt"> </span><span class="RktVar">fm</span><span class="stt"> </span><span class="RktSym"><a href="http://download.racket-lang.org/docs/6.3/html/local-redirect/index.html?doc=reference&rel=stx-patterns.html%23%2528form._%2528%2528lib._racket%252Fprivate%252Fstxcase-scheme..rkt%2529._......%2529%2529&version=6.3" class="RktStxLink Sq" data-pltdoc="x">...</a></span><span class="RktPn">)</span>.</p><p><div class="SIntrapara"><blockquote class="SVInsetFlow"><table cellspacing="0" cellpadding="0" class="boxed RBoxed"><tr><td><blockquote class="SubFlow"><div class="RBackgroundLabel SIEHidden"><div class="RBackgroundLabelInner"><p>procedure</p></div></div><p class="RForeground"><span class="RktPn">(</span><a name="(def._((lib._images/flomap..rkt)._flomap-lt-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lt-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-lt-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-lc-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lc-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-lc-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-lb-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lb-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-lb-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-ct-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-ct-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-ct-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-cc-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-cc-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-cc-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-cb-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-cb-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-cb-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-rt-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-rt-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-rt-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-rc-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-rc-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-rc-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-rb-superimpose))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-rb-superimpose%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-rb-superimpose</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><div class="SIntrapara">These create a new flomap by superimposing the flomaps in the argument list.
The two-letter abbreviation determines the pin-over points.
For example, <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lt-superimpose%29%29" class="RktValLink" data-pltdoc="x">flomap-lt-superimpose</a></span> (“flomap left-top superimpose”) pins points <span class="RktVal">0</span> <span class="RktVal">0</span> together on each adjacent pair of flomaps:
</div><div class="SIntrapara"><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-lt-superimpose%29%29" class="RktValLink" data-pltdoc="x">flomap-lt-superimpose</a></span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktSym">circle-fm</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr><tr><td><p><img src="pict_172.png" alt="image" width="260" height="240"/></p></td></tr></table></blockquote></div><div class="SIntrapara">See <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="RktValLink" data-pltdoc="x">flomap-pin</a></span> and <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%2A%29%29" class="RktValLink" data-pltdoc="x">flomap-pin*</a></span> for implementation details.</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._images/flomap..rkt)._flomap-vl-append))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-vl-append%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-vl-append</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-vc-append))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-vc-append%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-vc-append</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-vr-append))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-vr-append%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-vr-append</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-ht-append))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-ht-append%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-ht-append</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-hc-append))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-hc-append%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-hc-append</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><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._images/flomap..rkt)._flomap-hb-append))"></a><span title="Provided from: images/flomap | Package: images-lib"><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-hb-append%29%29" class="RktValDef RktValLink" data-pltdoc="x">flomap-hb-append</a></span></span><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span><span class="RktMeta">...</span><span class="RktPn">)</span><span class="hspace"> </span>→<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></p></blockquote></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm0</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr><tr><td><span class="hspace"> </span><span class="RktVar">fm</span><span class="hspace"> </span>:<span class="hspace"> </span><span class="RktSym"><a href="Struct_Type_and_Accessors.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap%29%29" class="RktValLink" data-pltdoc="x">flomap</a></span></td></tr></table></blockquote></div><div class="SIntrapara">These create a new flomap by spatially appending the flomaps in the argument list.
The two-letter abbreviation determines direction (<span class="RktSym">v</span> or <span class="RktSym">h</span>) and alignment (<span class="RktSym">l</span>, <span class="RktSym">c</span>, <span class="RktSym">r</span>, or <span class="RktSym">t</span>, <span class="RktSym">c</span>, <span class="RktSym">b</span>).
</div><div class="SIntrapara"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><p>Example:</p></td></tr><tr><td><blockquote class="SCodeFlow"><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><table cellspacing="0" cellpadding="0" class="RktBlk"><tr><td><span class="stt">> </span><span class="RktPn">(</span><span class="RktSym"><a href="Conversion_and_Construction.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-~3ebitmap%29%29" class="RktValLink" data-pltdoc="x">flomap->bitmap</a></span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-ht-append%29%29" class="RktValLink" data-pltdoc="x">flomap-ht-append</a></span><span class="hspace"> </span><span class="RktSym">circle-fm</span><span class="hspace"> </span><span class="RktVar">fm</span></td></tr><tr><td><span class="hspace"> </span><span class="hspace"> </span><span class="RktPn">(</span><span class="RktSym"><a href="Resizing.html#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-scale%29%29" class="RktValLink" data-pltdoc="x">flomap-scale</a></span><span class="hspace"> </span><span class="RktSym">circle-fm</span><span class="hspace"> </span><span class="RktVal">1/2</span><span class="RktPn">)</span><span class="RktPn">)</span><span class="RktPn">)</span></td></tr></table></td></tr><tr><td><p><img src="pict_173.png" alt="image" width="452" height="240"/></p></td></tr></table></blockquote></td></tr></table></div><div class="SIntrapara">See <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%29%29" class="RktValLink" data-pltdoc="x">flomap-pin</a></span> and <span class="RktSym"><a href="#%28def._%28%28lib._images%2Fflomap..rkt%29._flomap-pin%2A%29%29" class="RktValLink" data-pltdoc="x">flomap-pin*</a></span> for implementation details.</div></p><div class="navsetbottom"><span class="navleft"><form class="searchform"><input class="searchbox" style="color: #888;" type="text" value="...search manuals..." title="Enter a search string to search the manuals" onkeypress="return DoSearchKey(event, this, "6.3", "../");" onfocus="this.style.color="black"; this.style.textAlign="left"; if (this.value == "...search manuals...") this.value="";" onblur="if (this.value.match(/^ *$/)) { this.style.color="#888"; this.style.textAlign="center"; this.value="...search manuals..."; }"/></form> <a href="../index.html" title="up to the documentation top" data-pltdoc="x" onclick="return GotoPLTRoot("6.3");">top</a></span><span class="navright"> <a href="Resizing.html" title="backward to "4.8 Resizing"" data-pltdoc="x">← prev</a> <a href="flomap_title.html" title="up to "4 Floating-Point Bitmaps"" data-pltdoc="x">up</a> <a href="Spatial_Transformations.html" title="forward to "4.10 Spatial Transformations"" data-pltdoc="x">next →</a></span> </div></div></div><div id="contextindicator"> </div></body></html>
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