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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"  
  "http://www.w3.org/TR/html4/loose.dtd">  
<html > 
<head><title>24 Arrow Tips</title> 
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> 
<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)"> 
<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)"> 
<!-- html --> 
<meta name="src" content="pgfmanual.tex"> 
<meta name="date" content="2005-10-23 18:34:00"> 
<link rel="stylesheet" type="text/css" href="pgfmanual.css"> 
</head><body 
>
   <div class="crosslinks"><p class="noindent">[<a 
href="pgfmanualse25.html" >next</a>] [<a 
href="pgfmanualse23.html" >prev</a>] [<a 
href="pgfmanualse23.html#tailpgfmanualse23.html" >prev-tail</a>] [<a 
href="#tailpgfmanualse24.html">tail</a>] [<a 
href="pgfmanual.html#pgfmanualse24.html" >up</a>] </p></div>
   <h3 class="sectionHead"><span class="titlemark">24   </span> <a 
 id="x25-25200024"></a>Arrow Tips</h3>
<!--l. 12--><p class="noindent">
   <h4 class="subsectionHead"><span class="titlemark">24.1   </span> <a 
 id="x25-25300024.1"></a>Overview</h4>
<!--l. 14--><p class="noindent">
   <h5 class="subsubsectionHead"><span class="titlemark">24.1.1   </span> <a 
 id="x25-25400024.1.1"></a>When Does PGF Draw Arrow Tips?</h5>
<!--l. 16--><p class="noindent"><span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;offers an interface for placing <span 
class="cmti-10">arrow tips </span>at the end of lines. The interface works as follows:
<!--l. 19--><p class="indent">
     <ol type="1" class="enumerate1" >
     <li class="enumerate" value="1" 
><a 
 id="x25-254002x1"></a>You (or someone else) assigns a name to a certain kind of arrow tips. For example, the arrow tip <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">latex</span></span></span>
     is the arrow tip used by the standard <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span 
class="E">E</span>X</span></span>&nbsp;picture environment; the arrow tip <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">to</span></span></span> looks like the tip
     of the arrow in <span class="TEX">T<span 
class="E">E</span>X</span>&#8217;s <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\to</span></span></span> command; and so on.
     <!--l. 27--><p class="noindent">This is done once at the beginning of the document.
     </li>
     <li class="enumerate" value="2" 
><a 
 id="x25-254004x2"></a>Inside some picture, at some point you specify that in the current scope from now on you would like
     tips of, say, kind <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">to</span></span></span> to be added at the end and/or beginning of all paths.
     <!--l. 33--><p class="noindent">When an arrow kind has been installed and when <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;is about to stroke a path, the following things
     happen:
         <ol type="a" class="enumerate2" >
         <li class="enumerate" value="1" 
><a 
 id="x25-254006x1"></a>The beginning and/or end of the path is shortened appropriately.
         </li>
         <li class="enumerate" value="2" 
><a 
 id="x25-254008x2"></a>The path is stroked.
         </li>
         <li class="enumerate" value="3" 
><a 
 id="x25-254010x3"></a>The arrow tip is drawn at the beginning and/or end of the path, appropriately rotated and
         appropriately resized.</li></ol>
     </li></ol>
<!--l. 46--><p class="indent">   In the above description, there are a number of &#8220;appropriately.&#8221; The exact details are not quite trivial and
described later on.
<!--l. 49--><p class="noindent">
   <h5 class="subsubsectionHead"><span class="titlemark">24.1.2   </span> <a 
 id="x25-25500024.1.2"></a>Meta-Arrow Tips</h5>
<!--l. 51--><p class="noindent">In <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>, arrows are &#8220;meta-arrows&#8221; in the same way that fonts in <span class="TEX">T<span 
class="E">E</span>X</span>&nbsp;are &#8220;meta-fonts.&#8221; When a meta-arrow is
resized, it is not simply scaled, but a possibly complicated transformation is applied to the size.
<!--l. 56--><p class="indent">   A meta-font is not one particular font at a specific size with a specific stroke width (and with a large number of
other parameters being fixed). Rather, it is a &#8220;blueprint&#8221; (actually, more like a program) for generating such a font
at a particular size and width. This allows the designer of a meta-font to make sure that, say, the
font is somewhat thicker and wider at very small sizes. To appreciate the difference: Compare the
following texts: &#8220;Berlin&#8221; and &#8220;<object data="pgfmanual-552.svg" width="36.43103pt" height="6.9444pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&#8221;. The first is a &#8220;normal&#8221; text, the second is the tiny version scaled
by a factor of two. Obviously, the first look better. Now, compare &#8220;<object data="pgfmanual-553.svg" width="13.2778pt" height="3.47221pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&#8221; and &#8220;<span 
class="cmr-5">Berlin</span>&#8221;. This time, the
normal text was scaled down, while the second text is a &#8220;normal&#8221; tiny text. The second text is easier to
read.
                                                                                         
                                                                                         
<!--l. 71--><p class="indent">   <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&#8217;s meta-arrows work in a similar fashion: The shape of an arrow tip can vary according to the line width of
the arrow tip is used. Thus, an arrow tip drawn at a line width of 5pt will typically <span 
class="cmti-10">not </span>be five times as large as an
arrow tip of line width 1pt. Instead, the size of the arrow will get bigger only slowly as the line width
increases.
<!--l. 78--><p class="indent">   To appreciate the difference, here are the <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">latex</span></span></span> and <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">to</span></span></span> arrows, as drawn by <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;at four different
sizes:
<!--l. 92--><p class="indent">   <object data="pgfmanual-554.svg" width="344.94086pt" height="75.55493pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
<!--l. 95--><p class="indent">   Here, by comparison, is the same arrow when it is simply &#8220;resized&#8221; (as done by most programs):
<!--l. 150--><p class="indent">   <object data="pgfmanual-555.svg" width="344.94086pt" height="75.55493pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
<!--l. 153--><p class="indent">   As can be seen, simple scaling produces arrow tips that are way too large at larger sizes and way too small at
smaller sizes.
<!--l. 158--><p class="noindent">
   <h4 class="subsectionHead"><span class="titlemark">24.2   </span> <a 
 id="x25-25600024.2"></a>Declaring an Arrow Tip Kind</h4>
<!--l. 160--><p class="noindent">To declare an arrow kind &#8220;from scratch,&#8221; the following command is used:
<!--l. 164--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox274"><span 
class="cmtt-10">\pgfarrowsdeclare</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">extend code</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">arrow tip code</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-256001"></a>
     <!--l. 165--><p class="noindent">This command declares a new arrow kind. An arrow kind has two names, which will typically be the
     same. When the arrow tip needs to be drawn, the <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">arrow tip code</span><span 
class="cmsy-10">&gt; </span>will be invoked, but the canvas
     transformation is setup beforehand to a rotation such that when an arrow tip pointing right is specified,
     the arrow tip that is actually drawn points in the direction of the line.
     <!--l. 173--><p class="noindent"><span 
class="cmbx-10">Naming the arrow kind. </span>The <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt; </span>is the name used for the arrow tip when it is at the
     start of a path, the <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt; </span>is the name used at the end of a path. For example, the arrow
     kind that looks like a parenthesis has the <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">(</span></span></span> and the <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">)</span></span></span> so that you can say
     <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfsetarrows{(-)}</span></span></span> to specify that you want parenthesis arrows and both ends.
     <!--l. 182--><p class="noindent">The <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt; </span>and <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt; </span>can be quite arbitrary and may contain spaces.
     <!--l. 186--><p class="noindent"><span 
class="cmbx-10">Basics of the arrow tip code. </span>Let us next have a look at the <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">arrow tip code</span><span 
class="cmsy-10">&gt;</span>. This code will be
     used to draw the arrow tip when <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;thinks this is necessary. The code should draw an arrow that
     &#8220;points right,&#8221; which means that is should draw an arrow at the end of a line coming from the left and
     ending at the origin.
     <!--l. 193--><p class="noindent">As an example, suppose we wanted to declare an arrow tip consisting of two arcs, that is, we want the arrow
     tip to look more or less like the red part of the following picture:
                                                                                         
                                                                                         
     <!--l. 196--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-475-" ><colgroup id="TBL-475-1g"><col 
id="TBL-475-1"><col 
id="TBL-475-2"></colgroup><tr  
 valign="baseline" id="TBL-475-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-475-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-556.svg" width="59.90549pt" height="23.0pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-475-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\begin{tikzpicture}[line</span><span 
class="cmtt-8">&nbsp;width=3pt]</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw</span><span 
class="cmtt-8">&nbsp;(-2,0)</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,0);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[red,join=round,cap=round]</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;(-10pt,10pt)</span><span 
class="cmtt-8">&nbsp;arc</span><span 
class="cmtt-8">&nbsp;(180:270:10pt)</span><span 
class="cmtt-8">&nbsp;arc</span><span 
class="cmtt-8">&nbsp;(90:180:10pt);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     <!--l. 204--><p class="noindent">We could use the following as <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">arrow tip code</span><span 
class="cmsy-10">&gt; </span>for this:
     <!--l. 205--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-476-" ><colgroup id="TBL-476-1g"><col 
id="TBL-476-1"></colgroup><tr  
 valign="baseline" id="TBL-476-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-476-1-1"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\pgfarrowsdeclare{arcs}{arcs}{...}</span>
<br><span 
class="cmtt-8">{</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetdash{}{0pt}</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;do</span><span 
class="cmsltt-10x-x-80">&nbsp;not</span><span 
class="cmsltt-10x-x-80">&nbsp;dash</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetroundjoin</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;fix</span><span 
class="cmsltt-10x-x-80">&nbsp;join</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetroundcap</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;fix</span><span 
class="cmsltt-10x-x-80">&nbsp;cap</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{-10pt}{10pt}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpatharc{180}{270}{10pt}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpatharc{90}{180}{10pt}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
<br><span 
class="cmtt-8">}</span></div>                                                                                                             </td></tr></table> </td>
</tr></table></div>
     <!--l. 218--><p class="noindent">Indeed, when the <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">...</span></span></span> is set appropriately (in a moment), we can write the following:
     <!--l. 230--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
<table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-477-" ><colgroup id="TBL-477-1g"><col 
id="TBL-477-1"><col 
id="TBL-477-2"></colgroup><tr  
 valign="baseline" id="TBL-477-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-477-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-557.svg" width="59.90549pt" height="78.24504pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-477-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[-arcs,line</span><span 
class="cmtt-8">&nbsp;width=3pt]</span><span 
class="cmtt-8">&nbsp;(-2,0)</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,0);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[arcs-arcs,line</span><span 
class="cmtt-8">&nbsp;width=1pt]</span><span 
class="cmtt-8">&nbsp;(-2,-1.5)</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,-1);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-2,-2)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(0,0.75);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     <!--l. 238--><p class="noindent">As can be seen in the second example, the arrow tip is automatically rotated as needed when the arrow is
     drawn. This is achieved by a canvas rotation.
     <!--l. 243--><p class="noindent"><span 
class="cmbx-10">Special considerations about the arrow tip code. </span>There are several things you need to be aware of when
     designing arrow tip code:
         <ul class="itemize1">
         <li class="itemize">Inside the code, you may not use the <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfusepath</span></span></span> command. The reason is that this command
         internally calls arrow construction commands, which is something you obviously do not want to
         happen.
         <!--l. 253--><p class="noindent">Instead of <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfusepath</span></span></span>, use the quick versions. Typically, you will use <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfusepathqstroke</span></span></span>,
         <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfusepathqfill</span></span></span>, or <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfusepathqfillstroke</span></span></span>.
         </li>
         <li class="itemize">The code will be executed only once, namely the first time the arrow tip needs to be drawn. The
         resulting low-level driver commands are protocoled and stored away. In all subsequent uses of the
         arrow tip, the protocoled code is directly inserted.
         </li>
         <li class="itemize">However, the code will be executed anew for each line width. Thus, an arrow of line width 2pt
         may result in a different protocol than the same arrow for a line width of 0.4pt.
         </li>
         <li class="itemize">If you stroke the path that you construct, you should first set the dashing to solid and setup fixed
         joins and caps, as needed. This will ensure that the arrow tip will always look the same.
         </li>
         <li class="itemize">When the arrow tip code is executed, it is automatically put inside a low-level scope, so nothing
         will &#8220;leak out&#8221; from the scope.
                                                                                         
                                                                                         
         </li>
         <li class="itemize">The high-level coordinate transformation matrix will be set to the identity matrix when the code
         is executed for the first time.</li></ul>
     <!--l. 280--><p class="noindent"><span 
class="cmbx-10">Designing meta-arrows. </span>The <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">arrow tip code</span><span 
class="cmsy-10">&gt; </span>should adjust the size of the arrow in accordance with the
     line width. For a small line width, the arrow tip should be small, for a large line width, it should be
     larger. However, the size of the arrow typically <span 
class="cmti-10">should not </span>grow in direct proportion to the line
     width. On the other hand, the size of the arrow head typically <span 
class="cmti-10">should </span>grow &#8220;a bit&#8221; with the line
     width.
     <!--l. 289--><p class="noindent">For these reasons, <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;will not simply executed your arrow code within a scaled scope, where the scaling
     depends on the line width. Instead, your <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">arrow tip code</span><span 
class="cmsy-10">&gt; </span>is reexecuted again for each different line
     width.
     <!--l. 294--><p class="noindent">In our example, we could use the following code for the new arrow tip kind <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">arc'</span></span></span> (note the prime):
     <!--l. 296--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-478-" ><colgroup id="TBL-478-1g"><col 
id="TBL-478-1"></colgroup><tr  
 valign="baseline" id="TBL-478-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-478-1-1"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\newdimen\arrowsize</span>
<br><span 
class="cmtt-8">\pgfarrowsdeclare{arcs'}{arcs'}{...}</span>
<br><span 
class="cmtt-8">{</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\arrowsize=0.2pt</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\advance\arrowsize</span><span 
class="cmtt-8">&nbsp;by</span><span 
class="cmtt-8">&nbsp;.5\pgflinewidth</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetdash{}{0pt}</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;do</span><span 
class="cmsltt-10x-x-80">&nbsp;not</span><span 
class="cmsltt-10x-x-80">&nbsp;dash</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetroundjoin</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;fix</span><span 
class="cmsltt-10x-x-80">&nbsp;join</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetroundcap</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;fix</span><span 
class="cmsltt-10x-x-80">&nbsp;cap</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{-4\arrowsize}{4\arrowsize}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpatharc{180}{270}{4\arrowsize}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpatharc{90}{180}{4\arrowsize}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
<br><span 
class="cmtt-8">}</span></div>                                                                                                             </td></tr></table> </td>
</tr></table></div>
     <!--l. 326--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-479-" ><colgroup id="TBL-479-1g"><col 
id="TBL-479-1"><col 
id="TBL-479-2"></colgroup><tr  
 valign="baseline" id="TBL-479-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-479-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-558.svg" width="59.90549pt" height="64.01866pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-479-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[-arcs',line</span><span 
class="cmtt-8">&nbsp;width=3pt]</span><span 
class="cmtt-8">&nbsp;(-2,0)</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,0);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[arcs'-arcs',line</span><span 
class="cmtt-8">&nbsp;width=1pt]</span><span 
class="cmtt-8">&nbsp;(-2,-1.5)</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,-1);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-2,-1.75)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(0,0.5);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     <!--l. 334--><p class="noindent">However, sometimes, it can also be useful to have arrows that do not resize at all when the line width changes.
     This can be achieved by giving absolute size coordinates in the code, as done for <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">arc</span></span></span>. On the other hand, you
     can also have the arrow resize linearly with the line width by specifying all coordinates as multiples of
     <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgflinewidth</span></span></span>.
     <!--l. 341--><p class="noindent"><span 
class="cmbx-10">The left and right extend. </span>Let us have another look at the exact left and right &#8220;ends&#8221; of our arrow tip. Let
     us draw the arrow tip <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">arc'</span></span></span> at a very large size:
     <!--l. 345--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-480-" ><colgroup id="TBL-480-1g"><col 
id="TBL-480-1"><col 
id="TBL-480-2"></colgroup><tr  
 valign="baseline" id="TBL-480-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-480-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-559.svg" width="90.45822pt" height="57.10547pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-480-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[help</span><span 
class="cmtt-8">&nbsp;lines]</span><span 
class="cmtt-8">&nbsp;(-2,-1)</span><span 
class="cmtt-8">&nbsp;grid</span><span 
class="cmtt-8">&nbsp;(1,1);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[line</span><span 
class="cmtt-8">&nbsp;width=10pt,-arcs']</span><span 
class="cmtt-8">&nbsp;(-2,0)</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,0);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[line</span><span 
class="cmtt-8">&nbsp;width=2pt,white]</span><span 
class="cmtt-8">&nbsp;(-2,0)</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,0);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     <!--l. 353--><p class="noindent">As one can see, the arrow tip does not &#8220;touch&#8221; the origin as it should, but protrudes a little over the origin.
     One remedy to this undesirable effect is to change the code of the arrow tip such that everything is
     shifted half an <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\arrowsize</span></span></span> to the left. While this will cause the arrow tip to touch the origin, the
     line itself will then interfere with the arrow: The arrow tip will be partly &#8220;hidden&#8221; by the line
     itself.
                                                                                         
                                                                                         
     <!--l. 361--><p class="noindent"><span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;uses a different approach to solving the problem: The <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">extend code</span><span 
class="cmsy-10">&gt; </span>argument can be used to &#8220;tell&#8221;
     <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;how much the arrow protrudes over the origin. The argument is also used to tell <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;where the &#8220;left&#8221;
     end of the arrow is. However, this number is important only when the arrow is being reversed or composed
     with other arrow tips.
     <!--l. 368--><p class="noindent">Once <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;knows the right extend of an arrow kind, it can <span 
class="cmti-10">shorten </span>lines by this amount when drawing
     arrows.
     <!--l. 371--><p class="noindent">Here is a picture that shows what the visualizes the extends. The arrow tip itself is shown in red once
     more:
     <!--l. 389--><p class="noindent"><object data="pgfmanual-560.svg" width="245.28935pt" height="180.93636pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
     <!--l. 392--><p class="noindent">The <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">extend code</span><span 
class="cmsy-10">&gt; </span>is normal <span class="TEX">T<span 
class="E">E</span>X</span>&nbsp;code that is executed whenever <span 
class="cmcsc-10"><small 
class="small-caps">P</small><small 
class="small-caps">G</small><small 
class="small-caps">F</small></span>&nbsp;wants to know how far the
     arrow tip will protrude to the right and left. The code should call the following two commands:
     <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfarrowsrightextend</span></span></span> and <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfarrowsleftextend</span></span></span>. Both arguments take one argument that specifies the
     size. Here is the final code for the <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">arc''</span></span></span> arrow tip:
     <!--l. 399--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-481-" ><colgroup id="TBL-481-1g"><col 
id="TBL-481-1"><col 
id="TBL-481-2"></colgroup><tr  
 valign="baseline" id="TBL-481-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-481-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-561.svg" width="90.45822pt" height="57.10547pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-481-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\pgfarrowsdeclare{arcs''}{arcs''}</span>
<br><span 
class="cmtt-8">{</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\arrowsize=0.2pt</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\advance\arrowsize</span><span 
class="cmtt-8">&nbsp;by</span><span 
class="cmtt-8">&nbsp;.5\pgflinewidth</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfarrowsleftextend{-4\arrowsize-.5\pgflinewidth}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfarrowsrightextend{.5\pgflinewidth}</span>
<br><span 
class="cmtt-8">}</span>
<br><span 
class="cmtt-8">{</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\arrowsize=0.2pt</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\advance\arrowsize</span><span 
class="cmtt-8">&nbsp;by</span><span 
class="cmtt-8">&nbsp;.5\pgflinewidth</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetdash{}{0pt}</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;do</span><span 
class="cmsltt-10x-x-80">&nbsp;not</span><span 
class="cmsltt-10x-x-80">&nbsp;dash</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetroundjoin</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;fix</span><span 
class="cmsltt-10x-x-80">&nbsp;join</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetroundcap</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;</span><span 
class="cmsltt-10x-x-80">%</span><span 
class="cmsltt-10x-x-80">&nbsp;fix</span><span 
class="cmsltt-10x-x-80">&nbsp;cap</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{-4\arrowsize}{4\arrowsize}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpatharc{180}{270}{4\arrowsize}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpatharc{90}{180}{4\arrowsize}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
<br><span 
class="cmtt-8">}</span>
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[help</span><span 
class="cmtt-8">&nbsp;lines]</span><span 
class="cmtt-8">&nbsp;(-2,-1)</span><span 
class="cmtt-8">&nbsp;grid</span><span 
class="cmtt-8">&nbsp;(1,1);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[line</span><span 
class="cmtt-8">&nbsp;width=10pt,-arcs'']</span><span 
class="cmtt-8">&nbsp;(-2,0)</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,0);</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\draw[line</span><span 
class="cmtt-8">&nbsp;width=2pt,white]</span><span 
class="cmtt-8">&nbsp;(-2,0)</span><span 
class="cmtt-8">&nbsp;--</span><span 
class="cmtt-8">&nbsp;(0,0);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     </dd></dl>
                                                                                         
                                                                                         
<!--l. 450--><p class="noindent">
   <h4 class="subsectionHead"><span class="titlemark">24.3   </span> <a 
 id="x25-25700024.3"></a>Declaring a Derived Arrow Tip Kind</h4>
<!--l. 452--><p class="noindent">It is possible to declare arrow kinds in terms of existing ones. For these command to work correctly, the left and
right extends must be set correctly.
<!--l. 457--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox275"><span 
class="cmtt-10">\pgfarrowsdeclarealias</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">old start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">old end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-257001"></a>
     <!--l. 458--><p class="noindent">This command can be used to create an alias (another name) for an existing arrow kind.
     <!--l. 461--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-482-" ><colgroup id="TBL-482-1g"><col 
id="TBL-482-1"><col 
id="TBL-482-2"></colgroup><tr  
 valign="baseline" id="TBL-482-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-482-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-562.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-482-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\pgfarrowsdeclarealias{&lt;}{&gt;}{arcs''}{arcs''}</span><span 
class="cmsltt-10x-x-80">%</span>
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrows{&lt;-&gt;}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     </dd></dl>
<!--l. 476--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox276"><span 
class="cmtt-10">\pgfarrowsdeclarereversed</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">old start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">old end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-257002"></a>
     <!--l. 477--><p class="noindent">This  command  creates  a  new  arrow  kind  that  is  the  &#8220;reverse&#8221;  of  an  existing  arrow  kind.  The
     (automatically cerated) code of the new arrow kind will contain a flip of the canvas and the meanings
     of the left and right extend will be reversed.
     <!--l. 482--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-483-" ><colgroup id="TBL-483-1g"><col 
id="TBL-483-1"><col 
id="TBL-483-2"></colgroup><tr  
 valign="baseline" id="TBL-483-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-483-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-563.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-483-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\pgfarrowsdeclarereversed{arcs</span><span 
class="cmtt-8">&nbsp;reversed}{arcs</span><span 
class="cmtt-8">&nbsp;reversed}{arcs''}{arcs''}</span><span 
class="cmsltt-10x-x-80">%</span>
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrows{arcs</span><span 
class="cmtt-8">&nbsp;reversed-arcs</span><span 
class="cmtt-8">&nbsp;reversed}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     </dd></dl>
<!--l. 499--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox277"><span 
class="cmtt-10">\pgfarrowsdeclarecombine</span><span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">*</span></span></span><span 
class="cmtt-10">[</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">offset</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">]</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">first start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">first end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">second start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">second end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-257003"></a>
     <!--l. 500--><p class="noindent">This command creates a new arrow kind that combines two existing arrow kinds. The first arrow kind
     is the &#8220;innermost&#8221; arrow kind, the second arrow kind is the &#8220;outermost.&#8221;
                                                                                         
                                                                                         
     <!--l. 504--><p class="noindent">The code for the combined arrow kind will install a canvas translation before the innermost arrow kind
     in drawn. This translation is calculated such that the right tip of the innermost arrow touches the right
     end of the outermost arrow. The optional <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">offset</span><span 
class="cmsy-10">&gt; </span>can be used to increase (or decrease) the distance
     between the inner and outermost arrow.
     <!--l. 511--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-484-" ><colgroup id="TBL-484-1g"><col 
id="TBL-484-1"><col 
id="TBL-484-2"></colgroup><tr  
 valign="baseline" id="TBL-484-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-484-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-564.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-484-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\pgfarrowsdeclarecombine[\pgflinewidth]</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;{combined}{combined}{arcs''}{arcs''}{latex}{latex}</span><span 
class="cmsltt-10x-x-80">%</span>
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrows{combined-combined}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     <!--l. 524--><p class="noindent">In the star variant, the end of the line is not in the outermost arrow, but inside the innermost
     arrow.
     <!--l. 527--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-485-" ><colgroup id="TBL-485-1g"><col 
id="TBL-485-1"><col 
id="TBL-485-2"></colgroup><tr  
 valign="baseline" id="TBL-485-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-485-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-565.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-485-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\pgfarrowsdeclarecombine*[\pgflinewidth]</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;{combined'}{combined'}{arcs''}{arcs''}{latex}{latex}</span><span 
class="cmsltt-10x-x-80">%</span>
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrows{combined'-combined'}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     </dd></dl>
<!--l. 544--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox278"><span 
class="cmtt-10">\pgfarrowsdeclaredouble</span><span 
class="cmtt-10">[</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">offset</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">]</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">old start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">old end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-257004"></a>
     <!--l. 545--><p class="noindent">This command is a shortcut for combining an arrow kind with itself.
     <!--l. 547--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-486-" ><colgroup id="TBL-486-1g"><col 
id="TBL-486-1"><col 
id="TBL-486-2"></colgroup><tr  
 valign="baseline" id="TBL-486-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-486-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-566.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-486-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\pgfarrowsdeclaredouble{&lt;&lt;}{&gt;&gt;}{arcs''}{arcs''}</span><span 
class="cmsltt-10x-x-80">%</span>
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrows{&lt;&lt;-&gt;&gt;}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
                                                                                         
                                                                                         
     </dd></dl>
<!--l. 563--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox279"><span 
class="cmtt-10">\pgfarrowsdeclaretriple</span><span 
class="cmtt-10">[</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">offset</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">]</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">old start name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">old end name</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-257005"></a>
     <!--l. 564--><p class="noindent">This command is a shortcut for combining an arrow kind with itself and then again.
     <!--l. 567--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-487-" ><colgroup id="TBL-487-1g"><col 
id="TBL-487-1"><col 
id="TBL-487-2"></colgroup><tr  
 valign="baseline" id="TBL-487-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-487-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-567.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-487-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\pgfarrowsdeclaretriple{&lt;&lt;&lt;}{&gt;&gt;&gt;}{arcs''}{arcs''}</span><span 
class="cmsltt-10x-x-80">%</span>
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrows{&lt;&lt;&lt;-&gt;&gt;&gt;}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     </dd></dl>
<!--l. 584--><p class="noindent">
   <h4 class="subsectionHead"><span class="titlemark">24.4   </span> <a 
 id="x25-25800024.4"></a>Using an Arrow Tip Kind</h4>
<!--l. 586--><p class="noindent">The following commands install the arrow kind that will be used when stroking is done.
<!--l. 589--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox280"><span 
class="cmtt-10">\pgfsetarrowsstart</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start arrow kind</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-258001"></a>
     <!--l. 590--><p class="noindent">Installs the given <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start arrow kind</span><span 
class="cmsy-10">&gt; </span>for all subsequent strokes in the in the current <span class="TEX">T<span 
class="E">E</span>X</span>-group.
     If <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start arrow kind</span><span 
class="cmsy-10">&gt; </span>is empty, no arrow tips will be drawn at the start of the last segment of
     paths.
     <!--l. 594--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-488-" ><colgroup id="TBL-488-1g"><col 
id="TBL-488-1"><col 
id="TBL-488-2"></colgroup><tr  
 valign="baseline" id="TBL-488-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-488-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-568.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-488-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrowsstart{latex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     </dd></dl>
<!--l. 606--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox281"><span 
class="cmtt-10">\pgfsetarrowsend</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start arrow kind</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-258002"></a>
                                                                                         
                                                                                         
     <!--l. 607--><p class="noindent">Like <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfsetarrowsstart</span></span></span>, only for the end of the arrow.
     <!--l. 608--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-489-" ><colgroup id="TBL-489-1g"><col 
id="TBL-489-1"><col 
id="TBL-489-2"></colgroup><tr  
 valign="baseline" id="TBL-489-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-489-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-569.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-489-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrowsend{latex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     </dd></dl>
<!--l. 620--><p class="indent">   <span 
class="cmti-10">Warning: </span>If the compatibility mode is active (which is the default), there also exist old commands called
<span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfsetstartarrow</span></span></span> and <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfsetendarrow</span></span></span>, which are incompatible with the meta-arrow management.
<!--l. 626--><p class="indent">
     <dl class="description"><dt class="description">
<span 
class="colorbox" id="colorbox282"><span 
class="cmtt-10">\pgfsetarrows</span><span 
class="cmtt-10">{</span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start kind</span><span 
class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">-</span></span></span><span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end kind</span><span 
class="cmsy-10">&gt;</span><span 
class="cmtt-10">}</span></span> </dt><dd 
class="description">
<a 
 id="dx25-258003"></a>
     <!--l. 627--><p class="noindent">Calls <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfsetarrowsstart</span></span></span> for <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">start kind</span><span 
class="cmsy-10">&gt; </span>and <span class="obeylines-h"><span class="verb"><span 
class="cmtt-10">\pgfsetarrowsend</span></span></span> for <span 
class="cmsy-10">&lt;</span><span 
class="cmti-10">end kind</span><span 
class="cmsy-10">&gt;</span>.
     <!--l. 629--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-490-" ><colgroup id="TBL-490-1g"><col 
id="TBL-490-1"><col 
id="TBL-490-2"></colgroup><tr  
 valign="baseline" id="TBL-490-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-490-1-1"  
class="td11">  &nbsp;<object data="pgfmanual-570.svg" width="113.81096pt" height="71.13184pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp;  </td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-490-1-2"  
class="td11">  <table class="minipage"><tr><td><div class="obeylines-v">
<br><span 
class="cmtt-8">\begin{tikzpicture}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetarrows{latex-to}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
<br><span 
class="cmtt-8">&nbsp;</span><span 
class="cmtt-8">&nbsp;\useasboundingbox</span><span 
class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span 
class="cmtt-8">&nbsp;rectangle</span><span 
class="cmtt-8">&nbsp;(3.75,2.25);</span>
<br><span 
class="cmtt-8">\end{tikzpicture}</span></div>                                                                                             </td></tr></table> </td>
</tr></table></div>
     </dd></dl>
<!--l. 642--><p class="noindent">
   <h4 class="subsectionHead"><span class="titlemark">24.5   </span> <a 
 id="x25-25900024.5"></a>Predefined Arrow Tip Kinds</h4>
<!--l. 646--><p class="noindent">The following arrow tip kinds are always defined:
   <div class="tabular"><table class="tabular" 
cellspacing="0" cellpadding="0"  
frame="void" id="TBL-491-" ><colgroup id="TBL-491-1g"><col 
id="TBL-491-1"><col 
id="TBL-491-2"></colgroup><tr  
 valign="baseline" id="TBL-491-1-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-1-1"  
class="td11">  <a 
 id="dx25-259001"></a><a 
 id="dx25-259002"></a> <a 
 id="dx25-259003"></a><a 
 id="dx25-259004"></a> <span 
class="cmtt-10">stealth-stealth                   </span></td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-1-2"  
class="td11">  yields thick <object data="pgfmanual-571.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-572.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>  </td>
</tr><tr  
 valign="baseline" id="TBL-491-2-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-2-1"  
class="td11">  <a 
 id="dx25-259005"></a><a 
 id="dx25-259006"></a> <a 
 id="dx25-259007"></a><a 
 id="dx25-259008"></a> <span 
class="cmtt-10">stealth reversed-stealth reversed </span></td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-2-2"  
class="td11">  yields thick <object data="pgfmanual-573.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-574.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>  </td>
</tr><tr  
 valign="baseline" id="TBL-491-3-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-3-1"  
class="td11">  <a 
 id="dx25-259009"></a><a 
 id="dx25-259010"></a> <a 
 id="dx25-259011"></a><a 
 id="dx25-259012"></a> <span 
class="cmtt-10">to-to                             </span></td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-3-2"  
class="td11">  yields thick <object data="pgfmanual-575.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-576.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>  </td>
</tr><tr  
 valign="baseline" id="TBL-491-4-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-4-1"  
class="td11">  <a 
 id="dx25-259013"></a><a 
 id="dx25-259014"></a> <a 
 id="dx25-259015"></a><a 
 id="dx25-259016"></a> <span 
class="cmtt-10">to reversed-to reversed           </span></td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-4-2"  
class="td11">  yields thick <object data="pgfmanual-577.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-578.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>  </td>
</tr><tr  
 valign="baseline" id="TBL-491-5-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-5-1"  
class="td11">  <a 
 id="dx25-259017"></a><a 
 id="dx25-259018"></a> <a 
 id="dx25-259019"></a><a 
 id="dx25-259020"></a> <span 
class="cmtt-10">latex-latex                       </span></td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-5-2"  
class="td11">  yields thick <object data="pgfmanual-579.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-580.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>  </td>
</tr><tr  
 valign="baseline" id="TBL-491-6-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-6-1"  
class="td11">  <a 
 id="dx25-259021"></a><a 
 id="dx25-259022"></a> <a 
 id="dx25-259023"></a><a 
 id="dx25-259024"></a> <span 
class="cmtt-10">latex reversed-latex reversed     </span></td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-6-2"  
class="td11">  yields thick <object data="pgfmanual-581.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-582.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>  </td>
</tr><tr  
 valign="baseline" id="TBL-491-7-"><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-7-1"  
class="td11">  <a 
 id="dx25-259025"></a><a 
 id="dx25-259026"></a> <span 
class="cmtt-10">|-|                                </span></td><td  align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-7-2"  
class="td11">  yields thick <object data="pgfmanual-583.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-584.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>  </td> </tr></table>
</div>
<!--l. 672--><p class="indent">   For further arrow tips, see page&nbsp;<a 
href="pgfmanualse14.html#x15-16000014.1">176<!--tex4ht:ref: section-rules --></a>.
                                                                                         
                                                                                         
                                                                                         
                                                                                         
                                                                                         
                                                                                         
   <div class="crosslinks"><p class="noindent">[<a 
href="pgfmanualse25.html" >next</a>] [<a 
href="pgfmanualse23.html" >prev</a>] [<a 
href="pgfmanualse23.html#tailpgfmanualse23.html" >prev-tail</a>] [<a 
href="pgfmanualse24.html" >front</a>] [<a 
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