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deleted file mode 100644
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-<tspan font-family="cmmi" font-size="10">x</tspan></text>
-</g>
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- <g>
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- <text style="stroke:none" transform="scale(1,-1) translate(2.6308,0)" text-anchor="middle" font-size="10">
-<tspan font-family="cmmi" font-size="10">y</tspan></text>
-</g>
- </g>
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- <path d=" M -97.30228 -17.14372 h 23.88809 v 13.94373 h -23.88809 Z " style="stroke:none"/>
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- <text style="stroke:none" transform="scale(1,-1) translate(8.61107,0)" text-anchor="middle" font-size="10">
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- <text style="stroke:none" transform="scale(1,-1) translate(9.30412,0)" text-anchor="middle" font-size="10">
- <tspan font-family="cmsy" font-size="10">-</tspan> <img
-src="pgfmanual0x.gif" alt="12" class="frac" align="middle"></text>
-</g>
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- </g>
- </g>
- </g>
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- <g fill="rgb(100.0%,100.0%,100.0%)">
- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <path d=" M 79.52525 -16.31038 h 11.66595 v 13.11038 h -11.66595 Z " style="stroke:none"/>
- </g>
- </g>
- <g>
- <g transform="matrix(1.0,0.0,0.0,1.0,82.85823,-12.9774)">
- <g fill="rgb(0.0%,0.0%,0.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(2.5,0)" text-anchor="middle" font-size="10">
-1</text>
-</g>
- </g>
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- <path d=" M 3.0 -85.35823 L -3.0 -85.35823 " style="fill:none"/>
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- <text style="stroke:none" transform="scale(1,-1) translate(8.61107,0)" text-anchor="middle" font-size="10">
- <tspan font-family="cmsy" font-size="10">- </tspan>1</text>
-</g>
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- <text style="stroke:none" transform="scale(1,-1) translate(9.30412,0)" text-anchor="middle" font-size="10">
- <tspan font-family="cmsy" font-size="10">-</tspan> <img
-src="pgfmanual1x.gif" alt="12" class="frac" align="middle"></text>
-</g>
- </g>
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-<img
-src="pgfmanual2x.gif" alt="12" class="frac" align="middle"></text>
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- </g>
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- <path d=" M 16.48993 4.41843 " style="fill:none"/>
- <g>
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- <g>
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- <text style="stroke:none" transform="scale(1,-1) translate(3.21701,0)" text-anchor="middle" font-size="10">
-<tspan font-family="cmmi" font-size="10"><img
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- </g>
- </g>
- <g>
- <g transform="matrix(1.0,0.0,0.0,1.0,46.94452,18.00027)">
- <g fill="rgb(100.0%,0.0%,0.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(11.02254,0)" text-anchor="middle" font-size="10">
- sin<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan></text>
-</g>
- </g>
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- <g>
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- <g stroke="rgb(0.0%,0.0%,100.0%)">
- <g fill="rgb(0.0%,0.0%,100.0%)">
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- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <path d=" M 22.05019 -13.57149 h 29.82214 v 10.9715 h -29.82214 Z " style="stroke:none"/>
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- <g fill="rgb(0.0%,0.0%,100.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(11.5781,0)" text-anchor="middle" font-size="10">
- cos <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan></text>
-</g>
- </g>
- </g>
- </g>
- </g>
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- </g>
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- <g>
- <g stroke-width="1.2pt">
- <g stroke="rgb(80.0003%,39.99939%,0.0%)">
- <g fill="rgb(80.0003%,39.99939%,0.0%)">
- <path d=" M 85.35823 0.0 L 85.37032 49.28746 " style="fill:none"/>
- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <path d=" M 86.96426 11.15915 h 68.1005 v 26.96912 h -68.1005 Z " style="stroke:none"/>
- </g>
- </g>
- <g>
- <g transform="matrix(1.0,0.0,0.0,1.0,90.29724,21.35162)">
- <g fill="rgb(80.0003%,39.99939%,0.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(30.71727,0)" text-anchor="middle" font-size="10">
- tan <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = <img
-src="pgfmanual3x.gif" alt="sin a
-cosa-" class="frac" align="middle"></text>
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- </g>
- </g>
- </g>
- <g>
- </g>
- </g>
- </g>
- </g>
- </g>
- <path d=" M 0.0 0.0 L 85.36116 49.28215 " style="fill:none"/>
- <path d=" " style="fill:none"/>
- <g>
- <g fill="rgb(100.0%,89.99939%,89.99939%)">
- <g>
- <g fill="rgb(100.0%,89.99939%,89.99939%)">
- <path d=" M 333.44092 63.50197 L 162.11331 63.50197 C 159.89334 63.50197 158.11331 61.72194 158.11331 59.50197 L 158.11331 -59.50197 C 158.11331 -61.72194 159.89334 -63.50197 162.11331 -63.50197 L 333.44092 -63.50197 C 335.66089 -63.50197 337.44092 -61.72194 337.44092 -59.50197 L 337.44092 59.50197 C 337.44092 61.72194 335.66089 63.50197 333.44092 63.50197 Z M 158.11331 54.89088 " style="stroke:none"/>
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- <g>
- <g transform="matrix(1.0,0.0,0.0,1.0,162.41885,59.19643)">
- <g fill="rgb(0.0%,0.0%,0.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(85.35826,0)" text-anchor="middle" font-size="10">
-<!--l. 92--><p class="noindent">The angle <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> is 30<tspan baseline-shift="sub"><tspan font-family="cmsy" font-size="7"><span class="htf-cmbx">o</span></tspan>
- </tspan> in the example
-(<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</tspan>6 in radians). The sine of <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan>,
-which is the height of the red line,
-is sin<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = 1<tspan font-family="cmmi" font-size="10">/</tspan>2<tspan font-family="cmmi" font-size="10">. </tspan>By the Theorem of
-Pythagoras we have cos<tspan baseline-shift="sub"><tspan font-family="cmr" font-size="7">2</tspan></tspan><tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan>+sin<tspan baseline-shift="sub"><tspan font-family="cmr" font-size="7">2</tspan></tspan><tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = 1.
-Thus the length of the blue line,
-which is the cosine of <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan>, must be
-cos<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = <img
-src="pgfmanual4x.gif" alt=" V~ 1---1/4-" class="sqrt" > = <img
-src="pgfmanual5x.gif" alt="1
-2" class="frac" align="middle"><img
-src="pgfmanual6x.gif" alt=" V~ 3" class="sqrt" ><tspan font-family="cmmi" font-size="10">.</tspan>This shows
-that tan<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan>, which is the height of the
-orange line, is tan<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = <img
-src="pgfmanual7x.gif" alt="sina-
-cosa" class="frac" align="middle"> = 1<tspan font-family="cmmi" font-size="10">/</tspan><img
-src="pgfmanual8x.gif" alt=" V~ 3" class="sqrt" ><tspan font-family="cmmi" font-size="10">.</tspan></text>
-</g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
-
- </g>
-</svg>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-50.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-50.svg
deleted file mode 100644
index dc30385ed07..00000000000
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-500.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-500.svg
deleted file mode 100644
index e7b678f4b40..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-500.svg
+++ /dev/null
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-class="cmtt-8">\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[sibling</span><span
-class="cmtt-8">&nbsp;angle=30]</span>
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill]</span>
-<br><span
-class="cmtt-8">\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves,segment</span><span
-class="cmtt-8">&nbsp;length=1mm,segment</span><span
-class="cmtt-8">&nbsp;angle=10,draw]</span>
-<br>
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;[grow</span><span
-class="cmtt-8">&nbsp;cyclic,shape=circle,very</span><span
-class="cmtt-8">&nbsp;thick,level</span><span
-class="cmtt-8">&nbsp;distance=13mm,cap=round]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;[color=\A]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\A</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{red,green,blue}</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;node</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;[color=\A!50!\B]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\B</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{red,green,blue}</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;node</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;[color=\A!50!\B!50!\C]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\C</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{black,gray,white}</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;{</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;}</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>
-<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></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-<!--l. 87--><p class="indent"> F&uuml;r meinen Vater, damit er noch viele sch&ouml;ne <span class="TEX">T<span
-class="E">E</span>X</span>-Graphiken erschaffen kann.
-
-
-<!--l. 100--><p class="indent">
-
-
-<!--l. 100--><p class="indent">
-
-
-<div class="center"
->
-<!--l. 100--><p class="noindent">
-<span
-class="cmr-17">The Ti</span><span
-class="cmti-12x-x-144">k</span><span
-class="cmr-17">Z</span><span
-class="cmr-17">&nbsp;and </span><span
-class="cmcsc-10x-x-172"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span><span
-class="cmr-17">&nbsp;Packages</span><br>
-<span
-class="cmr-17">Manual for Version 1.01</span><br>
-<span
-class="cmtt-12">http://sourceforge.net/projects/pgf</span>
-<div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-2-" ><colgroup id="TBL-2-1g"><col
-id="TBL-2-1"></colgroup><tr
- valign="baseline" id="TBL-2-1-"><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-2-1-1"
-class="td11"> <span
-class="cmr-12">Till Tantau </span></td>
-</tr><tr
- valign="baseline" id="TBL-2-2-"><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-2-2-1"
-class="td11"> <span
-class="cmtt-12">mailto:tantau@users.sourceforge.net </span></td>
-</tr></table>
-</div>
-<!--l. 100--><p class="noindent"><span
-class="cmr-12">November 15, 2005</span></div>
- <h3 class="likesectionHead"><a
- id="x1-1000"></a>Contents</h3>
- <div class="tableofcontents">
- <span class="partToc">I&nbsp;&nbsp;<a
-href="#x1-2000I" id="QQ2-1-2">Getting Started</a></span>
-<br> <span class="sectionToc">1 <a
-href="pgfmanualse1.html#x2-30001" id="QQ2-2-3">Introduction</a></span>
-<br> &nbsp;<span class="subsectionToc">1.1 <a
-href="pgfmanualse1.html#x2-40001.1" id="QQ2-2-4">Structure of the System</a></span>
-<br> &nbsp;<span class="subsectionToc">1.2 <a
-href="pgfmanualse1.html#x2-50001.2" id="QQ2-2-5">Comparison with Other Graphics Packages</a></span>
-<br> &nbsp;<span class="subsectionToc">1.3 <a
-href="pgfmanualse1.html#x2-60001.3" id="QQ2-2-6">Utilities: Page Management</a></span>
-<br> &nbsp;<span class="subsectionToc">1.4 <a
-href="pgfmanualse1.html#x2-70001.4" id="QQ2-2-7">How to Read This Manual</a></span>
-<br> &nbsp;<span class="subsectionToc">1.5 <a
-href="pgfmanualse1.html#x2-80001.5" id="QQ2-2-8">Getting Help</a></span>
-<br> <span class="sectionToc">2 <a
-href="pgfmanualse2.html#x3-90002" id="QQ2-3-9">Installation</a></span>
-<br> &nbsp;<span class="subsectionToc">2.1 <a
-href="pgfmanualse2.html#x3-100002.1" id="QQ2-3-10">Package and Driver Versions</a></span>
-<br> &nbsp;<span class="subsectionToc">2.2 <a
-href="pgfmanualse2.html#x3-110002.2" id="QQ2-3-11">Installing Prebundled Packages</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.2.1 <a
-href="pgfmanualse2.html#x3-120002.2.1" id="QQ2-3-12">Debian</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.2.2 <a
-href="pgfmanualse2.html#x3-130002.2.2" id="QQ2-3-13">MiKTeX</a></span>
-<br> &nbsp;<span class="subsectionToc">2.3 <a
-href="pgfmanualse2.html#x3-140002.3" id="QQ2-3-14">Installation in a texmf Tree</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.3.1 <a
-href="pgfmanualse2.html#x3-150002.3.1" id="QQ2-3-15">Installation that Keeps Everything Together</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.3.2 <a
-href="pgfmanualse2.html#x3-160002.3.2" id="QQ2-3-16">Installation that is TDS-Compliant</a></span>
-<br> &nbsp;<span class="subsectionToc">2.4 <a
-href="pgfmanualse2.html#x3-170002.4" id="QQ2-3-17">Updating the Installation</a></span>
-<br> &nbsp;<span class="subsectionToc">2.5 <a
-href="pgfmanualse2.html#x3-180002.5" id="QQ2-3-18">License: The GNU Public License, Version 2</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.5.1 <a
-href="pgfmanualse2.html#x3-190002.5.1" id="QQ2-3-19">Preamble</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.5.2 <a
-href="pgfmanualse2.html#x3-200002.5.2" id="QQ2-3-20">Terms and Conditions For Copying, Distribution and Modification</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.5.3 <a
-href="pgfmanualse2.html#x3-210002.5.3" id="QQ2-3-21">No Warranty</a></span>
-<br> <span class="sectionToc">3 <a
-href="pgfmanualse3.html#x4-220003" id="QQ2-4-22">Tutorial: A Picture for Karl&#8217;s Students</a></span>
-<br> &nbsp;<span class="subsectionToc">3.1 <a
-href="pgfmanualse3.html#x4-230003.1" id="QQ2-4-23">Problem Statement</a></span>
-<br> &nbsp;<span class="subsectionToc">3.2 <a
-href="pgfmanualse3.html#x4-240003.2" id="QQ2-4-24">Setting up the Environment</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">3.2.1 <a
-href="pgfmanualse3.html#x4-250003.2.1" id="QQ2-4-25">Setting up the Environment in <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span></a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">3.2.2 <a
-href="pgfmanualse3.html#x4-260003.2.2" id="QQ2-4-26">Setting up the Environment in Plain TEX</a></span>
-<br> &nbsp;<span class="subsectionToc">3.3 <a
-href="pgfmanualse3.html#x4-270003.3" id="QQ2-4-27">Straight Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.4 <a
-href="pgfmanualse3.html#x4-280003.4" id="QQ2-4-28">Curved Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.5 <a
-href="pgfmanualse3.html#x4-290003.5" id="QQ2-4-29">Circle Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.6 <a
-href="pgfmanualse3.html#x4-300003.6" id="QQ2-4-30">Rectangle Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.7 <a
-href="pgfmanualse3.html#x4-310003.7" id="QQ2-4-31">Grid Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.8 <a
-href="pgfmanualse3.html#x4-320003.8" id="QQ2-4-32">Adding a Touch of Style</a></span>
-<br> &nbsp;<span class="subsectionToc">3.9 <a
-href="pgfmanualse3.html#x4-330003.9" id="QQ2-4-33">Drawing Options</a></span>
-<br> &nbsp;<span class="subsectionToc">3.10 <a
-href="pgfmanualse3.html#x4-340003.10" id="QQ2-4-34">Arc Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.11 <a
-href="pgfmanualse3.html#x4-350003.11" id="QQ2-4-35">Clipping a Path</a></span>
-<br> &nbsp;<span class="subsectionToc">3.12 <a
-href="pgfmanualse3.html#x4-360003.12" id="QQ2-4-36">Parabola and Sine Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.13 <a
-href="pgfmanualse3.html#x4-370003.13" id="QQ2-4-37">Filling and Drawing</a></span>
-
-
-<br> &nbsp;<span class="subsectionToc">3.14 <a
-href="pgfmanualse3.html#x4-380003.14" id="QQ2-4-38">Shading</a></span>
-<br> &nbsp;<span class="subsectionToc">3.15 <a
-href="pgfmanualse3.html#x4-390003.15" id="QQ2-4-39">Specifying Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">3.16 <a
-href="pgfmanualse3.html#x4-400003.16" id="QQ2-4-40">Adding Arrow Tips</a></span>
-<br> &nbsp;<span class="subsectionToc">3.17 <a
-href="pgfmanualse3.html#x4-410003.17" id="QQ2-4-41">Scoping</a></span>
-<br> &nbsp;<span class="subsectionToc">3.18 <a
-href="pgfmanualse3.html#x4-420003.18" id="QQ2-4-42">Transformations</a></span>
-<br> &nbsp;<span class="subsectionToc">3.19 <a
-href="pgfmanualse3.html#x4-430003.19" id="QQ2-4-43">Repeating Things: For-Loops</a></span>
-<br> &nbsp;<span class="subsectionToc">3.20 <a
-href="pgfmanualse3.html#x4-440003.20" id="QQ2-4-44">Adding Text</a></span>
-<br> &nbsp;<span class="subsectionToc">3.21 <a
-href="pgfmanualse3.html#x4-450003.21" id="QQ2-4-45">Nodes</a></span>
-<br> <span class="sectionToc">4 <a
-href="pgfmanualse4.html#x5-460004" id="QQ2-5-46">Guidelines on Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">4.1 <a
-href="pgfmanualse4.html#x5-470004.1" id="QQ2-5-47">Should You Follow Guidelines?</a></span>
-<br> &nbsp;<span class="subsectionToc">4.2 <a
-href="pgfmanualse4.html#x5-480004.2" id="QQ2-5-48">Planning the Time Needed for the Creation of Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">4.3 <a
-href="pgfmanualse4.html#x5-490004.3" id="QQ2-5-49">Workflow for Creating a Graphic</a></span>
-<br> &nbsp;<span class="subsectionToc">4.4 <a
-href="pgfmanualse4.html#x5-500004.4" id="QQ2-5-50">Linking Graphics With the Main Text</a></span>
-<br> &nbsp;<span class="subsectionToc">4.5 <a
-href="pgfmanualse4.html#x5-510004.5" id="QQ2-5-51">Consistency Between Graphics and Text</a></span>
-<br> &nbsp;<span class="subsectionToc">4.6 <a
-href="pgfmanualse4.html#x5-520004.6" id="QQ2-5-52">Labels in Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">4.7 <a
-href="pgfmanualse4.html#x5-530004.7" id="QQ2-5-53">Plots and Charts</a></span>
-<br> &nbsp;<span class="subsectionToc">4.8 <a
-href="pgfmanualse4.html#x5-540004.8" id="QQ2-5-54">Attention and Distraction</a></span>
-<br> <span class="sectionToc">5 <a
-href="pgfmanualse5.html#x6-550005" id="QQ2-6-55">Input and Output Formats</a></span>
-<br> &nbsp;<span class="subsectionToc">5.1 <a
-href="pgfmanualse5.html#x6-560005.1" id="QQ2-6-56">Supported Input Formats</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.1.1 <a
-href="pgfmanualse5.html#x6-570005.1.1" id="QQ2-6-57">Using the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>Format</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.1.2 <a
-href="pgfmanualse5.html#x6-580005.1.2" id="QQ2-6-58">Using the Plain TEX Format</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.1.3 <a
-href="pgfmanualse5.html#x6-590005.1.3" id="QQ2-6-59">Using the ConTEXt Format</a></span>
-<br> &nbsp;<span class="subsectionToc">5.2 <a
-href="pgfmanualse5.html#x6-600005.2" id="QQ2-6-60">Supported Output Formats</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.2.1 <a
-href="pgfmanualse5.html#x6-610005.2.1" id="QQ2-6-61">Selecting the Backend Driver</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.2.2 <a
-href="pgfmanualse5.html#x6-620005.2.2" id="QQ2-6-62">Producing PDF Output</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.2.3 <a
-href="pgfmanualse5.html#x6-630005.2.3" id="QQ2-6-63">Producing PostScript Output</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.2.4 <a
-href="pgfmanualse5.html#x6-640005.2.4" id="QQ2-6-64">Producing HTML / SVG Output</a></span>
-<br> <span class="partToc">II&nbsp;&nbsp;<a
-href="#x1-65000II" id="QQ2-1-65">Ti<span
-class="cmti-10">k</span>Z ist <span
-class="cmti-10">kein </span>Zeichenprogramm</a></span>
-<br> <span class="sectionToc">6 <a
-href="pgfmanualse6.html#x7-660006" id="QQ2-7-66">Design Principles</a></span>
-<br> &nbsp;<span class="subsectionToc">6.1 <a
-href="pgfmanualse6.html#x7-670006.1" id="QQ2-7-67">Special Syntax For Specifying Points</a></span>
-<br> &nbsp;<span class="subsectionToc">6.2 <a
-href="pgfmanualse6.html#x7-680006.2" id="QQ2-7-68">Special Syntax For Path Specifications</a></span>
-<br> &nbsp;<span class="subsectionToc">6.3 <a
-href="pgfmanualse6.html#x7-690006.3" id="QQ2-7-69">Actions on Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">6.4 <a
-href="pgfmanualse6.html#x7-700006.4" id="QQ2-7-70">Key-Value Syntax for Graphic Parameters</a></span>
-<br> &nbsp;<span class="subsectionToc">6.5 <a
-href="pgfmanualse6.html#x7-710006.5" id="QQ2-7-71">Special Syntax for Specifying Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">6.6 <a
-href="pgfmanualse6.html#x7-720006.6" id="QQ2-7-72">Special Syntax for Specifying Trees</a></span>
-<br> &nbsp;<span class="subsectionToc">6.7 <a
-href="pgfmanualse6.html#x7-730006.7" id="QQ2-7-73">Grouping of Graphic Parameters</a></span>
-<br> &nbsp;<span class="subsectionToc">6.8 <a
-href="pgfmanualse6.html#x7-740006.8" id="QQ2-7-74">Coordinate Transformation System</a></span>
-<br> <span class="sectionToc">7 <a
-href="pgfmanualse7.html#x8-750007" id="QQ2-8-75">Hierarchical Structures: Package, Environments, Scopes, and Styles</a></span>
-<br> &nbsp;<span class="subsectionToc">7.1 <a
-href="pgfmanualse7.html#x8-760007.1" id="QQ2-8-76">Loading the Package</a></span>
-<br> &nbsp;<span class="subsectionToc">7.2 <a
-href="pgfmanualse7.html#x8-770007.2" id="QQ2-8-77">Creating a Picture</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">7.2.1 <a
-href="pgfmanualse7.html#x8-780007.2.1" id="QQ2-8-78">Creating a Picture Using an Environment</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">7.2.2 <a
-href="pgfmanualse7.html#x8-790007.2.2" id="QQ2-8-79">Creating a Picture Using a Command</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">7.2.3 <a
-href="pgfmanualse7.html#x8-800007.2.3" id="QQ2-8-80">Adding a Background</a></span>
-<br> &nbsp;<span class="subsectionToc">7.3 <a
-href="pgfmanualse7.html#x8-810007.3" id="QQ2-8-81">Using Scopes to Structure a Picture</a></span>
-<br> &nbsp;<span class="subsectionToc">7.4 <a
-href="pgfmanualse7.html#x8-820007.4" id="QQ2-8-82">Using Scopes Inside Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">7.5 <a
-href="pgfmanualse7.html#x8-830007.5" id="QQ2-8-83">Using Styles to Manage How Pictures Look</a></span>
-<br> <span class="sectionToc">8 <a
-href="pgfmanualse8.html#x9-840008" id="QQ2-9-84">Specifying Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.1 <a
-href="pgfmanualse8.html#x9-850008.1" id="QQ2-9-85">Coordinates and Coordinate Options</a></span>
-<br> &nbsp;<span class="subsectionToc">8.2 <a
-href="pgfmanualse8.html#x9-860008.2" id="QQ2-9-86">Simple Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.3 <a
-href="pgfmanualse8.html#x9-870008.3" id="QQ2-9-87">Polar Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.4 <a
-href="pgfmanualse8.html#x9-880008.4" id="QQ2-9-88">Xy- and Xyz-Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.5 <a
-href="pgfmanualse8.html#x9-890008.5" id="QQ2-9-89">Node Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.5.1 <a
-href="pgfmanualse8.html#x9-900008.5.1" id="QQ2-9-90">Named Anchor Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.5.2 <a
-href="pgfmanualse8.html#x9-910008.5.2" id="QQ2-9-91">Angle Anchor Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.5.3 <a
-href="pgfmanualse8.html#x9-920008.5.3" id="QQ2-9-92">Anchor-Free Node Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.6 <a
-href="pgfmanualse8.html#x9-930008.6" id="QQ2-9-93">Intersection Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.6.1 <a
-href="pgfmanualse8.html#x9-940008.6.1" id="QQ2-9-94">Intersection of Two Lines</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.6.2 <a
-href="pgfmanualse8.html#x9-950008.6.2" id="QQ2-9-95">Intersection of Horizontal and Vertical Lines</a></span>
-
-
-<br> &nbsp;<span class="subsectionToc">8.7 <a
-href="pgfmanualse8.html#x9-960008.7" id="QQ2-9-96">Relative and Incremental Coordinates</a></span>
-<br> <span class="sectionToc">9 <a
-href="pgfmanualse9.html#x10-970009" id="QQ2-10-97">Syntax for Path Specifications</a></span>
-<br> &nbsp;<span class="subsectionToc">9.1 <a
-href="pgfmanualse9.html#x10-980009.1" id="QQ2-10-98">The Move-To Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.2 <a
-href="pgfmanualse9.html#x10-990009.2" id="QQ2-10-99">The Line-To Operation</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.2.1 <a
-href="pgfmanualse9.html#x10-1000009.2.1" id="QQ2-10-100">Straight Lines</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.2.2 <a
-href="pgfmanualse9.html#x10-1010009.2.2" id="QQ2-10-101">Horizontal and Vertical Lines</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.2.3 <a
-href="pgfmanualse9.html#x10-1020009.2.3" id="QQ2-10-102">Snaked Lines</a></span>
-<br> &nbsp;<span class="subsectionToc">9.3 <a
-href="pgfmanualse9.html#x10-1030009.3" id="QQ2-10-103">The Curve-To Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.4 <a
-href="pgfmanualse9.html#x10-1040009.4" id="QQ2-10-104">The Cycle Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.5 <a
-href="pgfmanualse9.html#x10-1050009.5" id="QQ2-10-105">The Rectangle Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.6 <a
-href="pgfmanualse9.html#x10-1060009.6" id="QQ2-10-106">Rounding Corners</a></span>
-<br> &nbsp;<span class="subsectionToc">9.7 <a
-href="pgfmanualse9.html#x10-1070009.7" id="QQ2-10-107">The Circle and Ellipse Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">9.8 <a
-href="pgfmanualse9.html#x10-1080009.8" id="QQ2-10-108">The Arc Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.9 <a
-href="pgfmanualse9.html#x10-1090009.9" id="QQ2-10-109">The Grid Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.10 <a
-href="pgfmanualse9.html#x10-1100009.10" id="QQ2-10-110">The Parabola Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.11 <a
-href="pgfmanualse9.html#x10-1110009.11" id="QQ2-10-111">The Sine and Cosine Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.12 <a
-href="pgfmanualse9.html#x10-1120009.12" id="QQ2-10-112">The Plot Operation</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.1 <a
-href="pgfmanualse9.html#x10-1130009.12.1" id="QQ2-10-113">Plotting Points Given Inline</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.2 <a
-href="pgfmanualse9.html#x10-1140009.12.2" id="QQ2-10-114">Plotting Points Read From an External File</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.3 <a
-href="pgfmanualse9.html#x10-1150009.12.3" id="QQ2-10-115">Plotting a Function</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.4 <a
-href="pgfmanualse9.html#x10-1160009.12.4" id="QQ2-10-116">Placing Marks on the Plot</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.5 <a
-href="pgfmanualse9.html#x10-1170009.12.5" id="QQ2-10-117">Smooth Plots, Sharp Plots, and Comb Plots</a></span>
-<br> &nbsp;<span class="subsectionToc">9.13 <a
-href="pgfmanualse9.html#x10-1180009.13" id="QQ2-10-118">The Scoping Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.14 <a
-href="pgfmanualse9.html#x10-1190009.14" id="QQ2-10-119">The Node Operation</a></span>
-<br> <span class="sectionToc">10 <a
-href="pgfmanualse10.html#x11-12000010" id="QQ2-11-120">Actions on Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">10.1 <a
-href="pgfmanualse10.html#x11-12100010.1" id="QQ2-11-121">Specifying a Color</a></span>
-<br> &nbsp;<span class="subsectionToc">10.2 <a
-href="pgfmanualse10.html#x11-12200010.2" id="QQ2-11-122">Drawing a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.1 <a
-href="pgfmanualse10.html#x11-12300010.2.1" id="QQ2-11-123">Graphic Parameters: Line Width, Line Cap, and Line Join</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.2 <a
-href="pgfmanualse10.html#x11-12400010.2.2" id="QQ2-11-124">Graphic Parameters: Dash Pattern</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.3 <a
-href="pgfmanualse10.html#x11-12500010.2.3" id="QQ2-11-125">Graphic Parameters: Draw Opacity</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.4 <a
-href="pgfmanualse10.html#x11-12600010.2.4" id="QQ2-11-126">Graphic Parameters: Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.5 <a
-href="pgfmanualse10.html#x11-12700010.2.5" id="QQ2-11-127">Graphic Parameters: Double Lines and Bordered Lines</a></span>
-<br> &nbsp;<span class="subsectionToc">10.3 <a
-href="pgfmanualse10.html#x11-12800010.3" id="QQ2-11-128">Filling a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.3.1 <a
-href="pgfmanualse10.html#x11-12900010.3.1" id="QQ2-11-129">Graphic Parameters: Interior Rules</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.3.2 <a
-href="pgfmanualse10.html#x11-13000010.3.2" id="QQ2-11-130">Graphic Parameters: Fill Opacity</a></span>
-<br> &nbsp;<span class="subsectionToc">10.4 <a
-href="pgfmanualse10.html#x11-13100010.4" id="QQ2-11-131">Shading a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.4.1 <a
-href="pgfmanualse10.html#x11-13200010.4.1" id="QQ2-11-132">Choosing a Shading Type</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.4.2 <a
-href="pgfmanualse10.html#x11-13300010.4.2" id="QQ2-11-133">Choosing a Shading Color</a></span>
-<br> &nbsp;<span class="subsectionToc">10.5 <a
-href="pgfmanualse10.html#x11-13400010.5" id="QQ2-11-134">Establishing a Bounding Box</a></span>
-<br> &nbsp;<span class="subsectionToc">10.6 <a
-href="pgfmanualse10.html#x11-13500010.6" id="QQ2-11-135">Using a Path For Clipping</a></span>
-<br> <span class="sectionToc">11 <a
-href="pgfmanualse11.html#x12-13600011" id="QQ2-12-136">Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.1 <a
-href="pgfmanualse11.html#x12-13700011.1" id="QQ2-12-137">Nodes and Their Shapes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.2 <a
-href="pgfmanualse11.html#x12-13800011.2" id="QQ2-12-138">Multi-Part Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.3 <a
-href="pgfmanualse11.html#x12-13900011.3" id="QQ2-12-139">Options for the Text in Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.4 <a
-href="pgfmanualse11.html#x12-14000011.4" id="QQ2-12-140">Placing Nodes Using Anchors</a></span>
-<br> &nbsp;<span class="subsectionToc">11.5 <a
-href="pgfmanualse11.html#x12-14100011.5" id="QQ2-12-141">Transformations</a></span>
-<br> &nbsp;<span class="subsectionToc">11.6 <a
-href="pgfmanualse11.html#x12-14200011.6" id="QQ2-12-142">Placing Nodes on a Line or Curve</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">11.6.1 <a
-href="pgfmanualse11.html#x12-14300011.6.1" id="QQ2-12-143">Explicit Use of the Position Option</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">11.6.2 <a
-href="pgfmanualse11.html#x12-14400011.6.2" id="QQ2-12-144">Implicit Use of the Position Option</a></span>
-<br> &nbsp;<span class="subsectionToc">11.7 <a
-href="pgfmanualse11.html#x12-14500011.7" id="QQ2-12-145">Connecting Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.8 <a
-href="pgfmanualse11.html#x12-14600011.8" id="QQ2-12-146">Predefined Shapes</a></span>
-<br> <span class="sectionToc">12 <a
-href="pgfmanualse12.html#x13-14700012" id="QQ2-13-147">Making Trees Grow</a></span>
-<br> &nbsp;<span class="subsectionToc">12.1 <a
-href="pgfmanualse12.html#x13-14800012.1" id="QQ2-13-148">Introduction to the Child Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">12.2 <a
-href="pgfmanualse12.html#x13-14900012.2" id="QQ2-13-149">Child Paths and the Child Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">12.3 <a
-href="pgfmanualse12.html#x13-15000012.3" id="QQ2-13-150">Naming Child Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">12.4 <a
-href="pgfmanualse12.html#x13-15100012.4" id="QQ2-13-151">Specifying Options for Trees and Children</a></span>
-<br> &nbsp;<span class="subsectionToc">12.5 <a
-href="pgfmanualse12.html#x13-15200012.5" id="QQ2-13-152">Placing Child Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">12.6 <a
-href="pgfmanualse12.html#x13-15300012.6" id="QQ2-13-153">Edges From the Parent Node</a></span>
-
-
-<br> <span class="sectionToc">13 <a
-href="pgfmanualse13.html#x14-15400013" id="QQ2-14-154">Transformations</a></span>
-<br> &nbsp;<span class="subsectionToc">13.1 <a
-href="pgfmanualse13.html#x14-15500013.1" id="QQ2-14-155">The Different Coordinate Systems</a></span>
-<br> &nbsp;<span class="subsectionToc">13.2 <a
-href="pgfmanualse13.html#x14-15600013.2" id="QQ2-14-156">The Xy- and Xyz-Coordinate Systems</a></span>
-<br> &nbsp;<span class="subsectionToc">13.3 <a
-href="pgfmanualse13.html#x14-15700013.3" id="QQ2-14-157">Coordinate Transformations</a></span>
-<br> <span class="partToc">III&nbsp;&nbsp;<a
-href="#x1-158000III" id="QQ2-1-158">Libraries and Utilities</a></span>
-<br> <span class="sectionToc">14 <a
-href="pgfmanualse14.html#x15-15900014" id="QQ2-15-159">Libraries</a></span>
-<br> &nbsp;<span class="subsectionToc">14.1 <a
-href="pgfmanualse14.html#x15-16000014.1" id="QQ2-15-160">Arrow Tip Library</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.1 <a
-href="pgfmanualse14.html#x15-16100014.1.1" id="QQ2-15-161">Triangular Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.2 <a
-href="pgfmanualse14.html#x15-16200014.1.2" id="QQ2-15-162">Barbed Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.3 <a
-href="pgfmanualse14.html#x15-16300014.1.3" id="QQ2-15-163">Bracket-Like Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.4 <a
-href="pgfmanualse14.html#x15-16400014.1.4" id="QQ2-15-164">Circle and Diamond Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.5 <a
-href="pgfmanualse14.html#x15-16500014.1.5" id="QQ2-15-165">Partial Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.6 <a
-href="pgfmanualse14.html#x15-16600014.1.6" id="QQ2-15-166">Line Caps</a></span>
-<br> &nbsp;<span class="subsectionToc">14.2 <a
-href="pgfmanualse14.html#x15-16700014.2" id="QQ2-15-167">Snake Library</a></span>
-<br> &nbsp;<span class="subsectionToc">14.3 <a
-href="pgfmanualse14.html#x15-16800014.3" id="QQ2-15-168">Plot Handler Library</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.3.1 <a
-href="pgfmanualse14.html#x15-16900014.3.1" id="QQ2-15-169">Curve Plot Handlers</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.3.2 <a
-href="pgfmanualse14.html#x15-17000014.3.2" id="QQ2-15-170">Comb Plot Handlers</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.3.3 <a
-href="pgfmanualse14.html#x15-17100014.3.3" id="QQ2-15-171">Mark Plot Handler</a></span>
-<br> &nbsp;<span class="subsectionToc">14.4 <a
-href="pgfmanualse14.html#x15-17200014.4" id="QQ2-15-172">Plot Mark Library</a></span>
-<br> &nbsp;<span class="subsectionToc">14.5 <a
-href="pgfmanualse14.html#x15-17300014.5" id="QQ2-15-173">Shape Library</a></span>
-<br> &nbsp;<span class="subsectionToc">14.6 <a
-href="pgfmanualse14.html#x15-17400014.6" id="QQ2-15-174">Tree Library</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.6.1 <a
-href="pgfmanualse14.html#x15-17500014.6.1" id="QQ2-15-175">Growth Functions</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.6.2 <a
-href="pgfmanualse14.html#x15-17600014.6.2" id="QQ2-15-176">Edges From Parent</a></span>
-<br> &nbsp;<span class="subsectionToc">14.7 <a
-href="pgfmanualse14.html#x15-17700014.7" id="QQ2-15-177">Background Library</a></span>
-<br> &nbsp;<span class="subsectionToc">14.8 <a
-href="pgfmanualse14.html#x15-17800014.8" id="QQ2-15-178">Automata Drawing Library</a></span>
-<br> <span class="sectionToc">15 <a
-href="pgfmanualse15.html#x16-17900015" id="QQ2-16-179">Repeating Things: The Foreach Statement</a></span>
-<br> <span class="sectionToc">16 <a
-href="pgfmanualse16.html#x17-18000016" id="QQ2-17-180">Page Management</a></span>
-<br> &nbsp;<span class="subsectionToc">16.1 <a
-href="pgfmanualse16.html#x17-18100016.1" id="QQ2-17-181">Basic Usage</a></span>
-<br> &nbsp;<span class="subsectionToc">16.2 <a
-href="pgfmanualse16.html#x17-18200016.2" id="QQ2-17-182">The Predefined Layouts</a></span>
-<br> &nbsp;<span class="subsectionToc">16.3 <a
-href="pgfmanualse16.html#x17-18300016.3" id="QQ2-17-183">Defining a Layout</a></span>
-<br> &nbsp;<span class="subsectionToc">16.4 <a
-href="pgfmanualse16.html#x17-18400016.4" id="QQ2-17-184">Creating Logical Pages</a></span>
-<br> <span class="sectionToc">17 <a
-href="pgfmanualse17.html#x18-18500017" id="QQ2-18-185">Extended Color Support</a></span>
-<br> <span class="partToc">IV&nbsp;&nbsp;<a
-href="#x1-186000IV" id="QQ2-1-186">The Basic Layer</a></span>
-<br> <span class="sectionToc">18 <a
-href="pgfmanualse18.html#x19-18700018" id="QQ2-19-187">Design Principles</a></span>
-<br> &nbsp;<span class="subsectionToc">18.1 <a
-href="pgfmanualse18.html#x19-18800018.1" id="QQ2-19-188">Core and Optional Packages</a></span>
-<br> &nbsp;<span class="subsectionToc">18.2 <a
-href="pgfmanualse18.html#x19-18900018.2" id="QQ2-19-189">Communicating with the Basic Layer via Macros</a></span>
-<br> &nbsp;<span class="subsectionToc">18.3 <a
-href="pgfmanualse18.html#x19-19000018.3" id="QQ2-19-190">Path-Centered Approach</a></span>
-<br> &nbsp;<span class="subsectionToc">18.4 <a
-href="pgfmanualse18.html#x19-19100018.4" id="QQ2-19-191">Coordinate Versus Canvas Transformations</a></span>
-<br> <span class="sectionToc">19 <a
-href="pgfmanualse19.html#x20-19200019" id="QQ2-20-192">Hierarchical Structures: Package, Environments, Scopes, and Text</a></span>
-<br> &nbsp;<span class="subsectionToc">19.1 <a
-href="pgfmanualse19.html#x20-19300019.1" id="QQ2-20-193">Overview</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.1.1 <a
-href="pgfmanualse19.html#x20-19400019.1.1" id="QQ2-20-194">The Hierarchical Structure of the Package</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.1.2 <a
-href="pgfmanualse19.html#x20-19500019.1.2" id="QQ2-20-195">The Hierarchical Structure of Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">19.2 <a
-href="pgfmanualse19.html#x20-19600019.2" id="QQ2-20-196">The Hierarchical Structure of the Package</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.2.1 <a
-href="pgfmanualse19.html#x20-19700019.2.1" id="QQ2-20-197">The Main Package</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.2.2 <a
-href="pgfmanualse19.html#x20-19800019.2.2" id="QQ2-20-198">The Core Package</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.2.3 <a
-href="pgfmanualse19.html#x20-19900019.2.3" id="QQ2-20-199">The Optional Basic Layer Packages</a></span>
-<br> &nbsp;<span class="subsectionToc">19.3 <a
-href="pgfmanualse19.html#x20-20000019.3" id="QQ2-20-200">The Hierarchical Structure of the Graphics</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.3.1 <a
-href="pgfmanualse19.html#x20-20100019.3.1" id="QQ2-20-201">The Main Environment</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.3.2 <a
-href="pgfmanualse19.html#x20-20200019.3.2" id="QQ2-20-202">Graphic Scope Environments</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.3.3 <a
-href="pgfmanualse19.html#x20-20300019.3.3" id="QQ2-20-203">Inserting Text and Images</a></span>
-<br> <span class="sectionToc">20 <a
-href="pgfmanualse20.html#x21-20400020" id="QQ2-21-204">Specifying Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">20.1 <a
-href="pgfmanualse20.html#x21-20500020.1" id="QQ2-21-205">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">20.2 <a
-href="pgfmanualse20.html#x21-20600020.2" id="QQ2-21-206">Basic Coordinate Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">20.3 <a
-href="pgfmanualse20.html#x21-20700020.3" id="QQ2-21-207">Coordinates in the Xy- and Xyz-Coordinate Systems</a></span>
-<br> &nbsp;<span class="subsectionToc">20.4 <a
-href="pgfmanualse20.html#x21-20800020.4" id="QQ2-21-208">Building Coordinates From Other Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">20.4.1 <a
-href="pgfmanualse20.html#x21-20900020.4.1" id="QQ2-21-209">Basic Manipulations of Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">20.4.2 <a
-href="pgfmanualse20.html#x21-21000020.4.2" id="QQ2-21-210">Points Traveling along Lines and Curves</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">20.4.3 <a
-href="pgfmanualse20.html#x21-21100020.4.3" id="QQ2-21-211">Points on Borders of Objects</a></span>
-
-
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">20.4.4 <a
-href="pgfmanualse20.html#x21-21200020.4.4" id="QQ2-21-212">Points on the Intersection of Lines</a></span>
-<br> &nbsp;<span class="subsectionToc">20.5 <a
-href="pgfmanualse20.html#x21-21300020.5" id="QQ2-21-213">Extracting Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">20.6 <a
-href="pgfmanualse20.html#x21-21400020.6" id="QQ2-21-214">Internals of How Point Commands Work</a></span>
-<br> <span class="sectionToc">21 <a
-href="pgfmanualse21.html#x22-21500021" id="QQ2-22-215">Constructing Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">21.1 <a
-href="pgfmanualse21.html#x22-21600021.1" id="QQ2-22-216">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">21.2 <a
-href="pgfmanualse21.html#x22-21700021.2" id="QQ2-22-217">The Move-To Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.3 <a
-href="pgfmanualse21.html#x22-21800021.3" id="QQ2-22-218">The Line-To Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.4 <a
-href="pgfmanualse21.html#x22-21900021.4" id="QQ2-22-219">The Curve-To Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.5 <a
-href="pgfmanualse21.html#x22-22000021.5" id="QQ2-22-220">The Close Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.6 <a
-href="pgfmanualse21.html#x22-22100021.6" id="QQ2-22-221">Arc, Ellipse and Circle Path Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">21.7 <a
-href="pgfmanualse21.html#x22-22200021.7" id="QQ2-22-222">Rectangle Path Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">21.8 <a
-href="pgfmanualse21.html#x22-22300021.8" id="QQ2-22-223">The Grid Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.9 <a
-href="pgfmanualse21.html#x22-22400021.9" id="QQ2-22-224">The Parabola Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.10 <a
-href="pgfmanualse21.html#x22-22500021.10" id="QQ2-22-225">Sine and Cosine Path Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">21.11 <a
-href="pgfmanualse21.html#x22-22600021.11" id="QQ2-22-226">Plot Path Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">21.12 <a
-href="pgfmanualse21.html#x22-22700021.12" id="QQ2-22-227">Rounded Corners</a></span>
-<br> &nbsp;<span class="subsectionToc">21.13 <a
-href="pgfmanualse21.html#x22-22800021.13" id="QQ2-22-228">Internal Tracking of Bounding Boxes for Paths and Pictures</a></span>
-<br> <span class="sectionToc">22 <a
-href="pgfmanualse22.html#x23-22900022" id="QQ2-23-229">Snakes</a></span>
-<br> &nbsp;<span class="subsectionToc">22.1 <a
-href="pgfmanualse22.html#x23-23000022.1" id="QQ2-23-230">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">22.2 <a
-href="pgfmanualse22.html#x23-23100022.2" id="QQ2-23-231">Declaring a Snake</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">22.2.1 <a
-href="pgfmanualse22.html#x23-23200022.2.1" id="QQ2-23-232">Segments</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">22.2.2 <a
-href="pgfmanualse22.html#x23-23300022.2.2" id="QQ2-23-233">Snake Automata</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">22.2.3 <a
-href="pgfmanualse22.html#x23-23400022.2.3" id="QQ2-23-234">The Snake Declaration Command</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">22.2.4 <a
-href="pgfmanualse22.html#x23-23500022.2.4" id="QQ2-23-235">Predefined Snakes</a></span>
-<br> &nbsp;<span class="subsectionToc">22.3 <a
-href="pgfmanualse22.html#x23-23600022.3" id="QQ2-23-236">Using Snakes</a></span>
-<br> <span class="sectionToc">23 <a
-href="pgfmanualse23.html#x24-23700023" id="QQ2-24-237">Using Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">23.1 <a
-href="pgfmanualse23.html#x24-23800023.1" id="QQ2-24-238">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">23.2 <a
-href="pgfmanualse23.html#x24-23900023.2" id="QQ2-24-239">Stroking a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.1 <a
-href="pgfmanualse23.html#x24-24000023.2.1" id="QQ2-24-240">Graphic Parameter: Line Width</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.2 <a
-href="pgfmanualse23.html#x24-24100023.2.2" id="QQ2-24-241">Graphic Parameter: Caps and Joins</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.3 <a
-href="pgfmanualse23.html#x24-24200023.2.3" id="QQ2-24-242">Graphic Parameter: Dashing</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.4 <a
-href="pgfmanualse23.html#x24-24300023.2.4" id="QQ2-24-243">Graphic Parameter: Stroke Color</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.5 <a
-href="pgfmanualse23.html#x24-24400023.2.5" id="QQ2-24-244">Graphic Parameter: Stroke Opacity</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.6 <a
-href="pgfmanualse23.html#x24-24500023.2.6" id="QQ2-24-245">Graphic Parameter: Arrows</a></span>
-<br> &nbsp;<span class="subsectionToc">23.3 <a
-href="pgfmanualse23.html#x24-24600023.3" id="QQ2-24-246">Filling a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.3.1 <a
-href="pgfmanualse23.html#x24-24700023.3.1" id="QQ2-24-247">Graphic Parameter: Interior Rule</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.3.2 <a
-href="pgfmanualse23.html#x24-24800023.3.2" id="QQ2-24-248">Graphic Parameter: Filling Color</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.3.3 <a
-href="pgfmanualse23.html#x24-24900023.3.3" id="QQ2-24-249">Graphic Parameter: Fill Opacity</a></span>
-<br> &nbsp;<span class="subsectionToc">23.4 <a
-href="pgfmanualse23.html#x24-25000023.4" id="QQ2-24-250">Clipping a Path</a></span>
-<br> &nbsp;<span class="subsectionToc">23.5 <a
-href="pgfmanualse23.html#x24-25100023.5" id="QQ2-24-251">Using a Path as a Bounding Box</a></span>
-<br> <span class="sectionToc">24 <a
-href="pgfmanualse24.html#x25-25200024" id="QQ2-25-252">Arrow Tips</a></span>
-<br> &nbsp;<span class="subsectionToc">24.1 <a
-href="pgfmanualse24.html#x25-25300024.1" id="QQ2-25-253">Overview</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">24.1.1 <a
-href="pgfmanualse24.html#x25-25400024.1.1" id="QQ2-25-254">When Does PGF Draw Arrow Tips?</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">24.1.2 <a
-href="pgfmanualse24.html#x25-25500024.1.2" id="QQ2-25-255">Meta-Arrow Tips</a></span>
-<br> &nbsp;<span class="subsectionToc">24.2 <a
-href="pgfmanualse24.html#x25-25600024.2" id="QQ2-25-256">Declaring an Arrow Tip Kind</a></span>
-<br> &nbsp;<span class="subsectionToc">24.3 <a
-href="pgfmanualse24.html#x25-25700024.3" id="QQ2-25-257">Declaring a Derived Arrow Tip Kind</a></span>
-<br> &nbsp;<span class="subsectionToc">24.4 <a
-href="pgfmanualse24.html#x25-25800024.4" id="QQ2-25-258">Using an Arrow Tip Kind</a></span>
-<br> &nbsp;<span class="subsectionToc">24.5 <a
-href="pgfmanualse24.html#x25-25900024.5" id="QQ2-25-259">Predefined Arrow Tip Kinds</a></span>
-<br> <span class="sectionToc">25 <a
-href="pgfmanualse25.html#x26-26000025" id="QQ2-26-260">Nodes and Shapes</a></span>
-<br> &nbsp;<span class="subsectionToc">25.1 <a
-href="pgfmanualse25.html#x26-26100025.1" id="QQ2-26-261">Overview</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.1.1 <a
-href="pgfmanualse25.html#x26-26200025.1.1" id="QQ2-26-262">Creating and Referencing Nodes</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.1.2 <a
-href="pgfmanualse25.html#x26-26300025.1.2" id="QQ2-26-263">Anchors</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.1.3 <a
-href="pgfmanualse25.html#x26-26400025.1.3" id="QQ2-26-264">Layers of a Shape</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.1.4 <a
-href="pgfmanualse25.html#x26-26500025.1.4" id="QQ2-26-265">Node Parts</a></span>
-<br> &nbsp;<span class="subsectionToc">25.2 <a
-href="pgfmanualse25.html#x26-26600025.2" id="QQ2-26-266">Creating Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">25.3 <a
-href="pgfmanualse25.html#x26-26700025.3" id="QQ2-26-267">Using Anchors</a></span>
-<br> &nbsp;<span class="subsectionToc">25.4 <a
-href="pgfmanualse25.html#x26-26800025.4" id="QQ2-26-268">Declaring New Shapes</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.4.1 <a
-href="pgfmanualse25.html#x26-26900025.4.1" id="QQ2-26-269">What Must Be Defined For a Shape?</a></span>
-
-
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.4.2 <a
-href="pgfmanualse25.html#x26-27000025.4.2" id="QQ2-26-270">Normal Anchors Versus Saved Anchors</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.4.3 <a
-href="pgfmanualse25.html#x26-27100025.4.3" id="QQ2-26-271">Command for Declaring New Shapes</a></span>
-<br> &nbsp;<span class="subsectionToc">25.5 <a
-href="pgfmanualse25.html#x26-27200025.5" id="QQ2-26-272">Predefined Shapes</a></span>
-<br> <span class="sectionToc">26 <a
-href="pgfmanualse26.html#x27-27300026" id="QQ2-27-273">Coordinate and Canvas Transformations</a></span>
-<br> &nbsp;<span class="subsectionToc">26.1 <a
-href="pgfmanualse26.html#x27-27400026.1" id="QQ2-27-274">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">26.2 <a
-href="pgfmanualse26.html#x27-27500026.2" id="QQ2-27-275">Coordinate Transformations</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">26.2.1 <a
-href="pgfmanualse26.html#x27-27600026.2.1" id="QQ2-27-276">How PGF Keeps Track of the Coordinate Transformation Matrix</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">26.2.2 <a
-href="pgfmanualse26.html#x27-27700026.2.2" id="QQ2-27-277">Commands for Relative Coordinate Transformations</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">26.2.3 <a
-href="pgfmanualse26.html#x27-27800026.2.3" id="QQ2-27-278">Commands for Absolute Coordinate Transformations</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">26.2.4 <a
-href="pgfmanualse26.html#x27-27900026.2.4" id="QQ2-27-279">Saving and Restoring the Coordinate Transformation Matrix</a></span>
-<br> &nbsp;<span class="subsectionToc">26.3 <a
-href="pgfmanualse26.html#x27-28000026.3" id="QQ2-27-280">Canvas Transformations</a></span>
-<br> <span class="sectionToc">27 <a
-href="pgfmanualse27.html#x28-28100027" id="QQ2-28-281">Declaring and Using Images</a></span>
-<br> &nbsp;<span class="subsectionToc">27.1 <a
-href="pgfmanualse27.html#x28-28200027.1" id="QQ2-28-282">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">27.2 <a
-href="pgfmanualse27.html#x28-28300027.2" id="QQ2-28-283">Declaring an Image</a></span>
-<br> &nbsp;<span class="subsectionToc">27.3 <a
-href="pgfmanualse27.html#x28-28400027.3" id="QQ2-28-284">Using an Image</a></span>
-<br> &nbsp;<span class="subsectionToc">27.4 <a
-href="pgfmanualse27.html#x28-28500027.4" id="QQ2-28-285">Masking an Image</a></span>
-<br> <span class="sectionToc">28 <a
-href="pgfmanualse28.html#x29-28600028" id="QQ2-29-286">Declaring and Using Shadings</a></span>
-<br> &nbsp;<span class="subsectionToc">28.1 <a
-href="pgfmanualse28.html#x29-28700028.1" id="QQ2-29-287">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">28.2 <a
-href="pgfmanualse28.html#x29-28800028.2" id="QQ2-29-288">Declaring Shadings</a></span>
-<br> &nbsp;<span class="subsectionToc">28.3 <a
-href="pgfmanualse28.html#x29-28900028.3" id="QQ2-29-289">Using Shadings</a></span>
-<br> <span class="sectionToc">29 <a
-href="pgfmanualse29.html#x30-29000029" id="QQ2-30-290">Creating Plots</a></span>
-<br> &nbsp;<span class="subsectionToc">29.1 <a
-href="pgfmanualse29.html#x30-29100029.1" id="QQ2-30-291">Overview</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">29.1.1 <a
-href="pgfmanualse29.html#x30-29200029.1.1" id="QQ2-30-292">When Should One Use PGF for Generating Plots? </a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">29.1.2 <a
-href="pgfmanualse29.html#x30-29300029.1.2" id="QQ2-30-293">How PGF Handles Plots</a></span>
-<br> &nbsp;<span class="subsectionToc">29.2 <a
-href="pgfmanualse29.html#x30-29400029.2" id="QQ2-30-294">Generating Plot Streams</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">29.2.1 <a
-href="pgfmanualse29.html#x30-29500029.2.1" id="QQ2-30-295">Basic Building Blocks of Plot Streams</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">29.2.2 <a
-href="pgfmanualse29.html#x30-29600029.2.2" id="QQ2-30-296">Commands That Generate Plot Streams</a></span>
-<br> &nbsp;<span class="subsectionToc">29.3 <a
-href="pgfmanualse29.html#x30-29700029.3" id="QQ2-30-297">Plot Handlers</a></span>
-<br> <span class="sectionToc">30 <a
-href="pgfmanualse30.html#x31-29800030" id="QQ2-31-298">Layered Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">30.1 <a
-href="pgfmanualse30.html#x31-29900030.1" id="QQ2-31-299">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">30.2 <a
-href="pgfmanualse30.html#x31-30000030.2" id="QQ2-31-300">Declaring Layers</a></span>
-<br> &nbsp;<span class="subsectionToc">30.3 <a
-href="pgfmanualse30.html#x31-30100030.3" id="QQ2-31-301">Using Layers</a></span>
-<br> <span class="sectionToc">31 <a
-href="pgfmanualse31.html#x32-30200031" id="QQ2-32-302">Quick Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">31.1 <a
-href="pgfmanualse31.html#x32-30300031.1" id="QQ2-32-303">Quick Path Construction Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">31.2 <a
-href="pgfmanualse31.html#x32-30400031.2" id="QQ2-32-304">Quick Path Usage Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">31.3 <a
-href="pgfmanualse31.html#x32-30500031.3" id="QQ2-32-305">Quick Text Box Commands</a></span>
-<br> <span class="partToc">V&nbsp;&nbsp;<a
-href="#x1-306000V" id="QQ2-1-306">The System Layer</a></span>
-<br> <span class="sectionToc">32 <a
-href="pgfmanualse32.html#x33-30700032" id="QQ2-33-307">Design of the System Layer</a></span>
-<br> &nbsp;<span class="subsectionToc">32.1 <a
-href="pgfmanualse32.html#x33-30800032.1" id="QQ2-33-308">Driver Files</a></span>
-<br> &nbsp;<span class="subsectionToc">32.2 <a
-href="pgfmanualse32.html#x33-30900032.2" id="QQ2-33-309">Common Definition Files</a></span>
-<br> <span class="sectionToc">33 <a
-href="pgfmanualse33.html#x34-31000033" id="QQ2-34-310">Commands of the System Layer</a></span>
-<br> &nbsp;<span class="subsectionToc">33.1 <a
-href="pgfmanualse33.html#x34-31100033.1" id="QQ2-34-311">Beginning and Ending a Stream of System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.2 <a
-href="pgfmanualse33.html#x34-31200033.2" id="QQ2-34-312">Path Construction System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.3 <a
-href="pgfmanualse33.html#x34-31300033.3" id="QQ2-34-313">Canvas Transformation System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.4 <a
-href="pgfmanualse33.html#x34-31400033.4" id="QQ2-34-314">Stroking, Filling, and Clipping System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.5 <a
-href="pgfmanualse33.html#x34-31500033.5" id="QQ2-34-315">Graphic State Option System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.6 <a
-href="pgfmanualse33.html#x34-31600033.6" id="QQ2-34-316">Color System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.7 <a
-href="pgfmanualse33.html#x34-31700033.7" id="QQ2-34-317">Scoping System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.8 <a
-href="pgfmanualse33.html#x34-31800033.8" id="QQ2-34-318">Image System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.9 <a
-href="pgfmanualse33.html#x34-31900033.9" id="QQ2-34-319">Shading System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.10 <a
-href="pgfmanualse33.html#x34-32000033.10" id="QQ2-34-320">Reusable Objects System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.11 <a
-href="pgfmanualse33.html#x34-32100033.11" id="QQ2-34-321">Invisibility System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.12 <a
-href="pgfmanualse33.html#x34-32200033.12" id="QQ2-34-322">Internal Conversion Commands</a></span>
-<br> <span class="sectionToc">34 <a
-href="pgfmanualse34.html#x35-32300034" id="QQ2-35-323">The Soft Path Subsystem</a></span>
-<br> &nbsp;<span class="subsectionToc">34.1 <a
-href="pgfmanualse34.html#x35-32400034.1" id="QQ2-35-324">Path Creation Process</a></span>
-<br> &nbsp;<span class="subsectionToc">34.2 <a
-href="pgfmanualse34.html#x35-32500034.2" id="QQ2-35-325">Starting and Ending a Soft Path</a></span>
-<br> &nbsp;<span class="subsectionToc">34.3 <a
-href="pgfmanualse34.html#x35-32600034.3" id="QQ2-35-326">Soft Path Creation Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">34.4 <a
-href="pgfmanualse34.html#x35-32700034.4" id="QQ2-35-327">The Soft Path Data Structure</a></span>
-
-
-<br> <span class="sectionToc">35 <a
-href="pgfmanualse35.html#x36-32800035" id="QQ2-36-328">The Protocol Subsystem</a></span>
-<br> <span class="partToc">VI&nbsp;&nbsp;<a
-href="#x1-329000VI" id="QQ2-1-329">References and Index</a></span>
- </div>
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;I<br></span><a
- id="x1-2000I"></a>Getting Started</h1>
-<!--l. 108--><p class="noindent">This part is intended to help you get started with the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package. First, the installation process is explained;
-however, the system will typically be already installed on your system, so this can often be skipped. Next, a
-short tutorial is given that explains the most often used commands and concepts of Ti<span
-class="cmti-10">k</span>Z, without
-going into any of the glorious details. At the end of this section you will find some, hopefully useful,
-hints on how to create &#8220;good&#8221; graphics in general. The information in this section is not specific to
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>.
-<!--l. 120--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-2.svg" width="77.94034 " height="125.36137 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-3-" ><colgroup id="TBL-3-1g"><col
-id="TBL-3-1"></colgroup><tr
- valign="baseline" id="TBL-3-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-3-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[thick,rounded</span><span
-class="cmtt-8">&nbsp;corners=8pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,3.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0);</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;II<br></span><a
- id="x1-65000II"></a>Ti<span
-class="cmti-10">k</span>Z ist <span
-class="cmti-10">kein </span>Zeichenprogramm</h1>
-<!--l. 136--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-64.svg" width="507.12994 " height="150.41641 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-65-" ><colgroup id="TBL-65-1g"><col
-id="TBL-65-1"></colgroup><tr
- valign="baseline" id="TBL-65-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-65-1-1"
-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[fill=yellow]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(60:.75cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(60:180:.75cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw(120:0.4cm)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{$\alpha$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[fill=green!30]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(right:.75cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:60:.75cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw(30:0.5cm)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{$\beta$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[shift={(60:2cm)}]</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;\draw[fill=green!30]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(180:.75cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:240:.75cm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(30:-0.5cm)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{$\gamma$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[fill=yellow]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(240:.75cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(240:360:.75cm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(-60:0.4cm)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{$\delta$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[thick]</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;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(60:-1cm)</span><span
-class="cmtt-8">&nbsp;node[fill=white]</span><span
-class="cmtt-8">&nbsp;{$E$}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(60:3cm)</span><span
-class="cmtt-8">&nbsp;node[fill=white]</span><span
-class="cmtt-8">&nbsp;{$F$};</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;\draw[red]</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;</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;</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;(-2,0)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{$A$}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;node[right]{$B$};</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;\draw[blue,shift={(60:2cm)}]</span><span
-class="cmtt-8">&nbsp;(-3,0)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{$C$}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[right]{$D$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(60:1cm)},xshift=4cm]</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;node</span><span
-class="cmtt-8">&nbsp;[right,text</span><span
-class="cmtt-8">&nbsp;width=6cm,rounded</span><span
-class="cmtt-8">&nbsp;corners,fill=red!20,inner</span><span
-class="cmtt-8">&nbsp;sep=1ex]</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>
-<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;When</span><span
-class="cmtt-8">&nbsp;we</span><span
-class="cmtt-8">&nbsp;assume</span><span
-class="cmtt-8">&nbsp;that</span><span
-class="cmtt-8">&nbsp;$\color{red}AB$</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;$\color{blue}CD$</span><span
-class="cmtt-8">&nbsp;are</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;parallel,</span><span
-class="cmtt-8">&nbsp;i.\,e.,</span><span
-class="cmtt-8">&nbsp;${\color{red}AB}</span><span
-class="cmtt-8">&nbsp;\mathbin{\|}</span><span
-class="cmtt-8">&nbsp;\color{blue}CD$,</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;then</span><span
-class="cmtt-8">&nbsp;$\alpha</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;\delta$</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;$\beta</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;\gamma$.</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>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;III<br></span><a
- id="x1-158000III"></a>Libraries and Utilities</h1>
-<!--l. 184--><p class="noindent">In this part the library and utility packages are documented. The library packages provide additional predefined
-graphic objects like new arrow heads, or new plot marks. These are not loaded by default since many users will not
-need them.
-<!--l. 189--><p class="indent"> The utility packages are not directly involved in creating graphics, but you may find them useful nonetheless. All
-of them either directly depend on <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;or they are designed to work well together with <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;even though they can
-be used in a stand-alone way.
-<!--l. 195--><p class="noindent">
-<!--l. 196--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-305.svg" width="359.47316 " height="357.33286 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-312-" ><colgroup id="TBL-312-1g"><col
-id="TBL-312-1"></colgroup><tr
- valign="baseline" id="TBL-312-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=2]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[top</span><span
-class="cmtt-8">&nbsp;color=blue,bottom</span><span
-class="cmtt-8">&nbsp;color=gray!50]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;(1.5,2.25)</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</span><span
-class="cmtt-8">&nbsp;(1.05cm,2pt)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$\displaystyle\int_0^{3/2}</span><span
-class="cmtt-8">&nbsp;\!\!x^2\mathrm{d}x$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3.9,3.9)</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;[step=0.25cm]</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;(1,2)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(1,1);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-0.2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-0.2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,4)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$f(x)$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1/1,</span><span
-class="cmtt-8">&nbsp;1.5/1\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;2/2,</span><span
-class="cmtt-8">&nbsp;3/3}</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;\draw[shift={(\x,0)}]</span><span
-class="cmtt-8">&nbsp;(0pt,2pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,-2pt)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{$\xtext$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y/\ytext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1/1,</span><span
-class="cmtt-8">&nbsp;2/2,</span><span
-class="cmtt-8">&nbsp;2.25/2\frac{1}{4},</span><span
-class="cmtt-8">&nbsp;3/3}</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;\draw[shift={(0,\y)}]</span><span
-class="cmtt-8">&nbsp;(2pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-2pt,0pt)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{$\ytext$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-.5,.25)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;bend</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;(2,4)</span><span
-class="cmtt-8">&nbsp;node[below</span><span
-class="cmtt-8">&nbsp;right]</span><span
-class="cmtt-8">&nbsp;{$x^2$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;IV<br></span><a
- id="x1-186000IV"></a>The Basic Layer</h1>
-<!--l. 227--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-469.svg" width="295.38785 " height="255.1695 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-396-" ><colgroup id="TBL-396-1g"><col
-id="TBL-396-1"></colgroup><tr
- valign="baseline" id="TBL-396-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-396-1-1"
-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[gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.9,-1.9)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2.9,3.9)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[step=0.25cm]</span><span
-class="cmtt-8">&nbsp;(-1,-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[blue]</span><span
-class="cmtt-8">&nbsp;(1,-2.1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,4.1);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;asymptote</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$x(t)$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,4)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$y(t)$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\pos</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,2}</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;\draw[shift={(\pos,0)}]</span><span
-class="cmtt-8">&nbsp;(0pt,2pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,-2pt)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{$\pos$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\pos</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,1,2,3}</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;\draw[shift={(0,\pos)}]</span><span
-class="cmtt-8">&nbsp;(2pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-2pt,0pt)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{$\pos$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.064cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick,parametric,domain=0.4:1.5,samples=200]</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;The</span><span
-class="cmsltt-10x-x-80">&nbsp;plot</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;reparameterised</span><span
-class="cmsltt-10x-x-80">&nbsp;such</span><span
-class="cmsltt-10x-x-80">&nbsp;that</span><span
-class="cmsltt-10x-x-80">&nbsp;there</span><span
-class="cmsltt-10x-x-80">&nbsp;are</span><span
-class="cmsltt-10x-x-80">&nbsp;more</span><span
-class="cmsltt-10x-x-80">&nbsp;samples</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;near</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;center.</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;plot[id=asymptotic-example]</span><span
-class="cmtt-8">&nbsp;function{(t*t*t)*sin(1/(t*t*t)),(t*t*t)*cos(1/(t*t*t))}</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;node[right]</span><span
-class="cmtt-8">&nbsp;{$\bigl(x(t),y(t)\bigr)</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;(t\sin</span><span
-class="cmtt-8">&nbsp;\frac{1}{t},</span><span
-class="cmtt-8">&nbsp;t\cos</span><span
-class="cmtt-8">&nbsp;\frac{1}{t})$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(0.63662,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</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;node</span><span
-class="cmtt-8">&nbsp;[below</span><span
-class="cmtt-8">&nbsp;right,fill=white,yshift=-4pt]</span><span
-class="cmtt-8">&nbsp;{$(\frac{2}{\pi},0)$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;V<br></span><a
- id="x1-306000V"></a>The System Layer</h1>
-<!--l. 276--><p class="noindent">This part describes the low-level interface of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, called the <span
-class="cmti-10">system layer</span>. This interface provides a complete
-abstraction of the internals of the underlying drivers.
-<!--l. 280--><p class="indent"> Unless you intend to port <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to another driver or unless you intend to write your own optimized frontend, you
-need not read this part.
-<!--l. 283--><p class="indent"> In the following it is assumed that you are familiar with the basic workings of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphics</span></span></span> package and that
-you know what <span class="TEX">T<span
-class="E">E</span>X</span>-drivers are and how they work.
-<!--l. 288--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-651.svg" width="592.71927 " height="107.44205 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-573-" ><colgroup id="TBL-573-1g"><col
-id="TBL-573-1"></colgroup><tr
- valign="baseline" id="TBL-573-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-573-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[shorten</span><span
-class="cmtt-8">&nbsp;&gt;=1pt,-&gt;]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{vertex}=[circle,fill=black!25,minimum</span><span
-class="cmtt-8">&nbsp;size=17pt,inner</span><span
-class="cmtt-8">&nbsp;sep=0pt]</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\name/\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{s/1,</span><span
-class="cmtt-8">&nbsp;2/2,</span><span
-class="cmtt-8">&nbsp;3/3,</span><span
-class="cmtt-8">&nbsp;4/4,</span><span
-class="cmtt-8">&nbsp;15/11,</span><span
-class="cmtt-8">&nbsp;16/12,</span><span
-class="cmtt-8">&nbsp;17/13,</span><span
-class="cmtt-8">&nbsp;18/14,</span><span
-class="cmtt-8">&nbsp;19/15,</span><span
-class="cmtt-8">&nbsp;t/16}</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;\node[vertex]</span><span
-class="cmtt-8">&nbsp;(G-\name)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;{$\name$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\name/\angle/\text</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{P-1/234/5,</span><span
-class="cmtt-8">&nbsp;P-2/162/6,</span><span
-class="cmtt-8">&nbsp;P-3/90/7,</span><span
-class="cmtt-8">&nbsp;P-4/18/8,</span><span
-class="cmtt-8">&nbsp;P-5/-54/9}</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;\node[vertex,xshift=6cm,yshift=.5cm]</span><span
-class="cmtt-8">&nbsp;(\name)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(\angle:1cm)</span><span
-class="cmtt-8">&nbsp;{$\text$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\name/\angle/\text</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{Q-1/234/10,</span><span
-class="cmtt-8">&nbsp;Q-2/162/11,</span><span
-class="cmtt-8">&nbsp;Q-3/90/12,</span><span
-class="cmtt-8">&nbsp;Q-4/18/13,</span><span
-class="cmtt-8">&nbsp;Q-5/-54/14}</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;\node[vertex,xshift=9cm,yshift=.5cm]</span><span
-class="cmtt-8">&nbsp;(\name)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(\angle:1cm)</span><span
-class="cmtt-8">&nbsp;{$\text$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\from/\to</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{s/2,2/3,3/4,3/4,15/16,16/17,17/18,18/19,19/t}</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;\draw</span><span
-class="cmtt-8">&nbsp;(G-\from)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(G-\to);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\from/\to</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1/2,2/3,3/4,4/5,5/1,1/3,2/4,3/5,4/1,5/2}</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;\draw</span><span
-class="cmtt-8">&nbsp;(P-\from)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(P-\to);</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(Q-\from)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(Q-\to);</span><span
-class="cmtt-8">&nbsp;}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(G-3)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(-30:2cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-150:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(Q-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(Q-5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(G-15);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;VI<br></span><a
- id="x1-329000VI"></a>References and Index</h1>
-<!--l. 322--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-652.svg" width="304.76138 " height="380.63509 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-585-" ><colgroup id="TBL-585-1g"><col
-id="TBL-585-1"></colgroup><tr
- valign="baseline" id="TBL-585-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-585-1-1"
-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[line</span><span
-class="cmtt-8">&nbsp;width=0.3cm,color=red!30,cap=round,join=round]</span><span
-class="cmtt-8">&nbsp;(0,0)--(2,0)--(2,5);</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;(-2.5,-2.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(5.5,7.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(1,-1)--(-1,-1)--(-1,1)--(0,1)--(0,0)--</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;(1,0)--(1,-1)--(3,-1)--(3,2)--(2,2)--(2,3)--(3,3)--</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;(3,5)--(1,5)--(1,4)--(0,4)--(0,6)--(1,6)--(1,5)</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;(3,3)--(4,3)--(4,5)--(3,5)--(3,6)</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;(3,-1)--(4,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[below</span><span
-class="cmtt-8">&nbsp;left]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(s){$s$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[below</span><span
-class="cmtt-8">&nbsp;left]</span><span
-class="cmtt-8">&nbsp;(2,5)</span><span
-class="cmtt-8">&nbsp;node(t){$t$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.06cm)</span><span
-class="cmtt-8">&nbsp;(2,5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.06cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,rounded</span><span
-class="cmtt-8">&nbsp;corners=0.2cm,shorten</span><span
-class="cmtt-8">&nbsp;&gt;=2pt]</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;(1.5,0.5)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,2)--</span><span
-class="cmtt-8">&nbsp;++(-1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,2)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</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;++(0,1)--</span><span
-class="cmtt-8">&nbsp;++(-1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(-2,0)--</span><span
-class="cmtt-8">&nbsp;++(0,3)--</span><span
-class="cmtt-8">&nbsp;++(2,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</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;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,1)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-3)--</span><span
-class="cmtt-8">&nbsp;++(-2,0)--</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;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-3)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(-6,0)--</span><span
-class="cmtt-8">&nbsp;++(0,3)--</span><span
-class="cmtt-8">&nbsp;++(2,0)--</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;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
- <h3 class="likesectionHead"><a
- id="x1-330000VI"></a>Index</h3>
- <div class="theindex"><span
-class="cmtt-10">( </span>arrow tip, 177
-<br><span
-class="cmtt-10">) </span>arrow tip, 177
-<br><span
-class="cmtt-10">* </span>arrow tip, 177
-<br><span
-class="cmtt-10">* </span>plot mark, 187
-<br><span
-class="cmtt-10">| </span>arrow tip, 295
-<br><span
-class="cmtt-10">| </span>plot mark, 187
-<br><span
-class="cmtt-10">+ </span>plot mark, 187
-<br><span
-class="cmtt-10">- </span>plot mark, 187
-<br><span
-class="cmtt-10">-- </span>path operation, 93
-<br><span
-class="cmtt-10">-| </span>path operation, 93
-<br><span
-class="cmtt-10">|- </span>path operation, 94
-<br><span
-class="cmtt-10">--cycle </span>path operation, 99
-<br><span
-class="cmtt-10">--plot </span>path operation, 105
-<br><span
-class="cmtt-10">.. </span>path operation, 99
-
-
-<br><span
-class="cmtt-10">&gt; </span>option, 123
-<br><span
-class="cmtt-10">[ </span>arrow tip, 177
-<br><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape name</span><span
-class="cmsy-10">&gt; </span>option, 136
-<br><span
-class="cmtt-10">] </span>arrow tip, 177
-<br><span
-class="cmtt-10">16 on 1 </span>layout, 211
-<br><span
-class="cmtt-10">2 on 1 </span>layout, 211
-<br><span
-class="cmtt-10">4 on 1 </span>layout, 211
-<br><span
-class="cmtt-10">8 on 1 </span>layout, 211
-<br><p class="theindex">
- <span
-class="cmtt-10">above </span>option, 142
-<br><span
-class="cmtt-10">above left </span>option, 142
-<br><span
-class="cmtt-10">above right </span>option, 142
-<br><span
-class="cmtt-10">\anchor</span>, 308
-<br><span
-class="cmtt-10">anchor </span>option, 141
-<br><span
-class="cmtt-10">\anchorborder</span>, 309
-<br><span
-class="cmtt-10">angle 45 </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 45 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 60 </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 60 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 90 </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 90 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">arc </span>path operation, 101
-<br>Arrow tips
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">(</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">)</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">*</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">|</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">[</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">]</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 45</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 45 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 60</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 60 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 90</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 90 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">butt cap</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">diamond</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">fast cap</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">fast cap reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">hooks</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">hooks reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">latex</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">latex reversed</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">latex'</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">latex' reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left hook</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left hook reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left to</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left to reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">o</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open diamond</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 45</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 45 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 60</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 60 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 90</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 90 reversed</span>, 176
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right hook</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right hook reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right to</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right to reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">round cap</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stealth</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stealth reversed</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stealth'</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stealth' reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">to</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">to reversed</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 45</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 45 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 60</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 60 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 90</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 90 cap</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 90 cap reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 90 reversed</span>, 176
-<br><span
-class="cmtt-10">arrows </span>option, 122
-<br><span
-class="cmtt-10">asterisk </span>plot mark, 187
-<br><span
-class="cmtt-10">at </span>option, 238
-<br><span
-class="cmtt-10">at end </span>style, 146
-<br><span
-class="cmtt-10">at start </span>style, 146
-<br></p><p class="theindex">
- <span
-class="cmtt-10">background grid </span>style, 195
-<br><span
-class="cmtt-10">background rectangle </span>style, 195
-<br><span
-class="cmtt-10">background top </span>style, 196
-<br><span
-class="cmtt-10">\backgroundpath</span>, 310
-<br><span
-class="cmtt-10">ball </span>plot mark, 109
-<br><span
-class="cmtt-10">ball color </span>option, 130
-<br><span
-class="cmtt-10">base </span>option, 238
-<br><span
-class="cmtt-10">baseline </span>option, 76
-<br><span
-class="cmtt-10">\beforebackgroundpath</span>, 310
-<br><span
-class="cmtt-10">\beforeforegroundpath</span>, 311
-<br><span
-class="cmtt-10">\behindbackgroundpath</span>, 310
-<br><span
-class="cmtt-10">\behindforegroundpath</span>, 310
-<br><span
-class="cmtt-10">below </span>option, 143
-<br><span
-class="cmtt-10">below left </span>option, 143
-<br><span
-class="cmtt-10">below right </span>option, 143
-<br><span
-class="cmtt-10">bend </span>option, 103
-<br><span
-class="cmtt-10">bend at end </span>style, 104
-<br><span
-class="cmtt-10">bend at start </span>style, 104
-<br><span
-class="cmtt-10">bend pos </span>option, 104
-<br><span
-class="cmtt-10">border </span>snake, 178
-<br><span
-class="cmtt-10">bottom </span>option, 237
-<br><span
-class="cmtt-10">bottom color </span>option, 129
-<br><span
-class="cmtt-10">brace </span>snake, 178
-<br><span
-class="cmtt-10">\breakforeach</span>, 205
-<br><span
-class="cmtt-10">bumps </span>snake, 178
-<br><span
-class="cmtt-10">butt cap </span>arrow tip, 177
-<br></p><p class="theindex">
- <span
-class="cmtt-10">cap </span>option, 119
-<br><span
-class="cmtt-10">child </span>path operation, 152
-<br><span
-class="cmtt-10">child anchor </span>option, 163
-<br><span
-class="cmtt-10">circle </span>path operation, 101
-
-
-<br><span
-class="cmtt-10">circle </span>shape, 313
-<br><span
-class="cmtt-10">\clip</span>, 116
-<br><span
-class="cmtt-10">clip </span>option, 131
-<br><span
-class="cmtt-10">cm </span>option, 173
-<br><span
-class="cmtt-10">coil </span>snake, 179
-<br><span
-class="cmtt-10">color </span>option, 116
-<br><span
-class="cmtt-10">color option </span>option, 116
-<br><span
-class="cmtt-10">\colorcurrentmixin</span>, 221
-<br><span
-class="cmtt-10">colormixin </span>environment, 220
-<br><span
-class="cmtt-10">\coordinate</span>, 116
-<br><span
-class="cmtt-10">coordinate </span>path operation, 137
-<br><span
-class="cmtt-10">coordinate </span>shape, 313
-<br><span
-class="cmtt-10">cos </span>path operation, 105
-<br><span
-class="cmtt-10">cross out </span>shape, 188
-<br></p><p class="theindex">
- <span
-class="cmtt-10">dash pattern </span>option, 119
-<br><span
-class="cmtt-10">dash phase </span>option, 120
-<br><span
-class="cmtt-10">dashed </span>style, 120
-<br><span
-class="cmtt-10">densely dashed </span>style, 120
-<br><span
-class="cmtt-10">densely dotted </span>style, 120
-<br><span
-class="cmtt-10">diamond </span>arrow tip, 177
-<br><span
-class="cmtt-10">diamond </span>plot mark, 187
-<br><span
-class="cmtt-10">diamond* </span>plot mark, 187
-<br><span
-class="cmtt-10">domain </span>option, 108
-<br><span
-class="cmtt-10">dotted </span>style, 120
-<br><span
-class="cmtt-10">double </span>option, 124
-<br><span
-class="cmtt-10">double distance </span>option, 124
-<br><span
-class="cmtt-10">draft </span>package option, 231, 330
-<br><span
-class="cmtt-10">\draw</span>, 115
-<br><span
-class="cmtt-10">draw </span>option, 117
-<br><span
-class="cmtt-10">draw opacity </span>option, 121
-<br></p><p class="theindex">
- <span
-class="cmtt-10">edge from parent </span>path operation, 162
-<br><span
-class="cmtt-10">edge from parent </span>style, 163
-<br><span
-class="cmtt-10">edge from parent fork down </span>style, 193
-<br><span
-class="cmtt-10">edge from parent fork left </span>style, 194
-<br><span
-class="cmtt-10">edge from parent fork right </span>style, 193
-<br><span
-class="cmtt-10">edge from parent fork up </span>style, 194
-<br><span
-class="cmtt-10">edge from parent path </span>option, 162
-<br><span
-class="cmtt-10">ellipse </span>path operation, 101
-<br><span
-class="cmtt-10">ellipse </span>shape, 189
-<br><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">empty</span><span
-class="cmsy-10">&gt; </span>path operation, 92
-<br>Environments
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">colormixin</span>, 220
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfinterruptpath</span>, 236
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfinterruptpicture</span>, 236
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflowlevelscope</span>, 327
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfonlayer</span>, 354, 355
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfpicture</span>, 233, 234
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfscope</span>, 234, 235
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">scope</span>, 78, 79
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">tikzpicture</span>, 76, 77
-<br><span
-class="cmtt-10">even odd rule </span>option, 126
-<br><span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">part name</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node part </span>style, 138
-<br><span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node </span>style, 137
-<br><span
-class="cmtt-10">every child </span>style, 156
-
-
-<br><span
-class="cmtt-10">every child node </span>style, 156
-<br><span
-class="cmtt-10">every node </span>style, 136
-<br><span
-class="cmtt-10">every path </span>style, 92
-<br><span
-class="cmtt-10">every picture </span>style, 77
-<br><span
-class="cmtt-10">every plot </span>style, 109
-<br><span
-class="cmtt-10">every scope </span>style, 78
-<br><span
-class="cmtt-10">execute at begin picture </span>option, 76
-<br><span
-class="cmtt-10">execute at begin scope </span>option, 79
-<br><span
-class="cmtt-10">execute at end picture </span>option, 76
-<br><span
-class="cmtt-10">execute at end scope </span>option, 79
-<br><span
-class="cmtt-10">expanding waves </span>snake, 179
-<br></p><p class="theindex">
- <span
-class="cmtt-10">fast cap </span>arrow tip, 177
-<br><span
-class="cmtt-10">fast cap reversed </span>arrow tip, 177
-<br>File, <span
-class="cmti-10">see </span>Packages and files
-<br><span
-class="cmtt-10">\fill</span>, 115
-<br><span
-class="cmtt-10">fill </span>option, 125
-<br><span
-class="cmtt-10">fill opacity </span>option, 127
-<br><span
-class="cmtt-10">\filldraw</span>, 115
-<br><span
-class="cmtt-10">font </span>option, 139
-<br><span
-class="cmtt-10">forbidden sign </span>shape, 189
-<br><span
-class="cmtt-10">\foreach</span>, 201
-<br><span
-class="cmtt-10">\foregroundpath</span>, 310
-<br><span
-class="cmtt-10">framed </span>style, 195
-<br></p><p class="theindex">
- <span
-class="cmtt-10">gap after snake </span>option, 95
-<br><span
-class="cmtt-10">gap around snake </span>option, 95
-<br><span
-class="cmtt-10">gap before snakes </span>option, 95
-<br>Graphic options
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">&gt;</span>, 123
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape name</span><span
-class="cmsy-10">&gt;</span>, 136
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">above</span>, 142
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">above left</span>, 142
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">above right</span>, 142
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">anchor</span>, 141
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">arrows</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">at</span>, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ball color</span>, 130
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">base</span>, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">baseline</span>, 76
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">below</span>, 143
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">below left</span>, 143
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">below right</span>, 143
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bend</span>, 103
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bend pos</span>, 104
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bottom</span>, 237
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bottom color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">cap</span>, 119
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">child anchor</span>, 163
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">clip</span>, 131
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">cm</span>, 173
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">color</span>, 116
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">color option</span>, 116
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">dash pattern</span>, 119
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">dash phase</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">domain</span>, 108
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">double</span>, 124
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">double distance</span>, 124
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">draw</span>, 117
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">draw opacity</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent path</span>, 162
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">even odd rule</span>, 126
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">execute at begin picture</span>, 76
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">execute at begin scope</span>, 79
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">execute at end picture</span>, 76
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">execute at end scope</span>, 79
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">fill</span>, 125
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">fill opacity</span>, 127
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">font</span>, 139
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">gap after snake</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">gap around snake</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">gap before snakes</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grow</span>, 160
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grow via three points</span>, 191
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grow'</span>, 161
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">growth function</span>, 161
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">id</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner frame sep</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner frame xsep</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner frame ysep</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner sep</span>, 147
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner xsep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner ysep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">join</span>, 119
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left</span>, 142, 237
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">level distance</span>, 158
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">line after snake</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">line around snake</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">line before snake</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">line width</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">mark</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">mark options</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">mark size</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">middle color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">minimum height</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">minimum size</span>, 149
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">minimum width</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">mirror snake</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">miter limit</span>, 119
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">name</span>, 135
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">next state</span>, 269
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">nonzero rule</span>, 125
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">only marks</span>, 112
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">opacity</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer color</span>, 130
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer frame sep</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer frame xsep</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer frame ysep</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer sep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer xsep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer ysep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">parabola height</span>, 104
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">parametric</span>, 108
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">parent anchor</span>, 163
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">polar comb</span>, 112
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pos</span>, 144
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">prefix</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">raise snake</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">raw gnuplot</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">reset cm</span>, 173
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right</span>, 143, 237
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rotate</span>, 172, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rotate around</span>, 173
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rounded corners</span>, 100
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">samples</span>, 108
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">scale</span>, 171
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment amplitude</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment angle</span>, 97
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment aspect</span>, 98
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment length</span>, 97
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment object length</span>, 97
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">set style</span>, 80
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shade</span>, 127
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shading</span>, 128
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shading angle</span>, 128
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shape</span>, 136
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sharp corners</span>, 101
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sharp plot</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shift</span>, 171
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shorten &lt;</span>, 124
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shorten &gt;</span>, 123
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sibling angle</span>, 192
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sibling distance</span>, 159
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sloped</span>, 145
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">smooth</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">smooth cycle</span>, 111
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">step</span>, 102, 259
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stepx</span>, 259
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stepy</span>, 259
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">style</span>, 79
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">switch if less than</span>, 269
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">tension</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text</span>, 138
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text badly centered</span>, 141
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text badly ragged</span>, 140
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text centered</span>, 140
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text justified</span>, 140
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text opacity</span>, 138
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text ragged</span>, 140
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text width</span>, 139
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">top</span>, 237
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">top color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">transform shape</span>, 143
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">use as bounding box</span>, 130
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">width</span>, 269
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">x</span>, 169, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xcomb</span>, 111
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xscale</span>, 171
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xshift</span>, 171
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xslant</span>, 172
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xstep</span>, 102
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">y</span>, 169, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ycomb</span>, 111
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">yscale</span>, 172
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">yshift</span>, 171
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">yslant</span>, 172
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ystep</span>, 102
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">z</span>, 169
-<br><span
-class="cmtt-10">grid </span>path operation, 102
-<br><span
-class="cmtt-10">gridded </span>style, 196
-<br><span
-class="cmtt-10">grow </span>option, 160
-<br><span
-class="cmtt-10">grow cyclic </span>style, 192
-<br><span
-class="cmtt-10">grow via three points </span>option, 191
-<br><span
-class="cmtt-10">grow' </span>option, 161
-<br><span
-class="cmtt-10">growth function </span>option, 161
-<br></p><p class="theindex">
- <span
-class="cmtt-10">help lines </span>style, 103
-<br><span
-class="cmtt-10">hooks </span>arrow tip, 176
-<br><span
-class="cmtt-10">hooks reversed </span>arrow tip, 176
-<br></p><p class="theindex">
- <span
-class="cmtt-10">id </span>option, 109
-<br><span
-class="cmtt-10">\ifpgfresetnontranslationsattime</span>, 323
-<br><span
-class="cmtt-10">\ifpgfslopedattime</span>, 323
-<br><span
-class="cmtt-10">\ifpgfsys@eorule</span>, 374
-<br><span
-class="cmtt-10">\inheritanchor</span>, 312
-<br><span
-class="cmtt-10">\inheritanchorborder</span>, 312
-<br><span
-class="cmtt-10">\inheritbackgroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritbeforebackgroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritbeforeforegroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritbehindbackgroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritbehindforegroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritforegroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritsavedanchors</span>, 311
-<br><span
-class="cmtt-10">inner color </span>option, 129
-<br><span
-class="cmtt-10">inner frame sep </span>option, 194
-<br><span
-class="cmtt-10">inner frame xsep </span>option, 194
-<br><span
-class="cmtt-10">inner frame ysep </span>option, 194
-<br><span
-class="cmtt-10">inner sep </span>option, 147
-<br><span
-class="cmtt-10">inner xsep </span>option, 148
-<br><span
-class="cmtt-10">inner ysep </span>option, 148
-<br></p><p class="theindex">
- <span
-class="cmtt-10">join </span>option, 119
-<br></p><p class="theindex">
- <span
-class="cmtt-10">latex </span>arrow tip, 295
-<br><span
-class="cmtt-10">latex reversed </span>arrow tip, 295
-<br><span
-class="cmtt-10">latex' </span>arrow tip, 176
-<br><span
-class="cmtt-10">latex' reversed </span>arrow tip, 176
-<br>Layout, <span
-class="cmti-10">see </span>Page layout
-<br><span
-class="cmtt-10">left </span>option, 142, 237
-<br><span
-class="cmtt-10">left color </span>option, 129
-<br><span
-class="cmtt-10">left hook </span>arrow tip, 177
-<br><span
-class="cmtt-10">left hook reversed </span>arrow tip, 177
-
-
-<br><span
-class="cmtt-10">left to </span>arrow tip, 177
-<br><span
-class="cmtt-10">left to reversed </span>arrow tip, 177
-<br><span
-class="cmtt-10">level </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">number</span><span
-class="cmsy-10">&gt; </span>style, 156
-<br><span
-class="cmtt-10">level distance </span>option, 158
-<br><span
-class="cmtt-10">line after snake </span>option, 96
-<br><span
-class="cmtt-10">line around snake </span>option, 96
-<br><span
-class="cmtt-10">line before snake </span>option, 95
-<br><span
-class="cmtt-10">line width </span>option, 118
-<br><span
-class="cmtt-10">lineto </span>snake, 272
-<br><span
-class="cmtt-10">loose background </span>style, 194
-<br><span
-class="cmtt-10">loosely dashed </span>style, 120
-<br><span
-class="cmtt-10">loosely dotted </span>style, 120
-<br></p><p class="theindex">
- <span
-class="cmtt-10">mark </span>option, 109
-<br><span
-class="cmtt-10">mark options </span>option, 110
-<br><span
-class="cmtt-10">mark size </span>option, 110
-<br><span
-class="cmtt-10">middle color </span>option, 129
-<br><span
-class="cmtt-10">midway </span>style, 145
-<br><span
-class="cmtt-10">minimum height </span>option, 148
-<br><span
-class="cmtt-10">minimum size </span>option, 149
-<br><span
-class="cmtt-10">minimum width </span>option, 148
-<br><span
-class="cmtt-10">mirror snake </span>option, 96
-<br><span
-class="cmtt-10">miter limit </span>option, 119
-<br><span
-class="cmtt-10">moveto </span>snake, 272
-<br></p><p class="theindex">
- <span
-class="cmtt-10">name </span>option, 135
-<br><span
-class="cmtt-10">near end </span>style, 146
-<br><span
-class="cmtt-10">near start </span>style, 146
-<br><span
-class="cmtt-10">nearly opaque </span>style, 122
-<br><span
-class="cmtt-10">nearly transparent </span>style, 121
-<br><span
-class="cmtt-10">next state </span>option, 269
-<br><span
-class="cmtt-10">\node</span>, 116
-<br><span
-class="cmtt-10">node </span>path operation, 135
-<br><span
-class="cmtt-10">\nodepart</span>, 137
-<br><span
-class="cmtt-10">\nodeparts</span>, 306
-<br><span
-class="cmtt-10">nonzero rule </span>option, 125
-<br></p><p class="theindex">
- <span
-class="cmtt-10">o </span>arrow tip, 177
-<br><span
-class="cmtt-10">o </span>plot mark, 187
-<br><span
-class="cmtt-10">only marks </span>option, 112
-<br><span
-class="cmtt-10">opacity </span>option, 121
-<br><span
-class="cmtt-10">opaque </span>style, 122
-<br><span
-class="cmtt-10">open diamond </span>arrow tip, 177
-<br><span
-class="cmtt-10">open triangle 45 </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 45 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 60 </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 60 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 90 </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 90 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">oplus </span>plot mark, 187
-<br><span
-class="cmtt-10">oplus* </span>plot mark, 187
-<br>Options for graphics, <span
-class="cmti-10">see </span>Graphic options
-<br>Options for packages, <span
-class="cmti-10">see </span>Package options
-<br><span
-class="cmtt-10">otimes </span>plot mark, 187
-<br><span
-class="cmtt-10">otimes* </span>plot mark, 187
-
-
-<br><span
-class="cmtt-10">outer color </span>option, 130
-<br><span
-class="cmtt-10">outer frame sep </span>option, 196
-<br><span
-class="cmtt-10">outer frame xsep </span>option, 196
-<br><span
-class="cmtt-10">outer frame ysep </span>option, 196
-<br><span
-class="cmtt-10">outer sep </span>option, 148
-<br><span
-class="cmtt-10">outer xsep </span>option, 148
-<br><span
-class="cmtt-10">outer ysep </span>option, 148
-<br></p><p class="theindex">
- Package options for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">draft</span>, 231, 330
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">version=</span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">version</span><span
-class="cmsy-10">&gt;</span>, 231
-<br>Packages and files
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgf</span>, 231
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgf.cfg</span>, 363
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfbaseimage</span>, 330
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfbaselayers</span>, 353
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfbaseplot</span>, 345
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfbaseshapes</span>, 298
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfcore</span>, 232
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryarrows</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryautomata</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryplothandlers</span>, 182
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryplotmarks</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryshapes</span>, 188
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibrarysnakes</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibrarytikzbackgrounds</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibrarytikztrees</span>, 190
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys</span>, 363
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-common-pdf</span>, 364
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-common-postscript</span>, 364
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-dvipdfm.def</span>, 64
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-dvips.def</span>, 65
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-pdftex.def</span>, 64
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-tex4ht.def</span>, 65
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-textures.def</span>, 65
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-vtex.def</span>, 64
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">tikz</span>, 75
-<br>Page layouts
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">16 on 1</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">2 on 1</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">4 on 1</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">8 on 1</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">resize to</span>, 210
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rounded corners</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">two screens with lagging second</span>, 212
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">two screens with optional second</span>, 212
-<br><span
-class="cmtt-10">parabola </span>path operation, 103
-<br><span
-class="cmtt-10">parabola height </span>option, 104
-<br><span
-class="cmtt-10">parametric </span>option, 108
-<br><span
-class="cmtt-10">parent anchor </span>option, 163
-<br><span
-class="cmtt-10">\path</span>, 91
-<br>Path operations
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">--</span>, 93
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">-|</span>, 93
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">|-</span>, 94
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">--cycle</span>, 99
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">--plot</span>, 105
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">..</span>, 99
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">arc</span>, 101
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">child</span>, 152
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">circle</span>, 101
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">coordinate</span>, 137
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">cos</span>, 105
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent</span>, 162
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ellipse</span>, 101
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">empty</span><span
-class="cmsy-10">&gt;</span>, 92
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grid</span>, 102
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">node</span>, 135
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">parabola</span>, 103
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">plot</span>, 106
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rectangle</span>, 100
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sin</span>, 105
-<br><span
-class="cmtt-10">pentagon </span>plot mark, 187
-<br><span
-class="cmtt-10">pentagon* </span>plot mark, 187
-<br><span
-class="cmtt-10">pgf </span>package, 231
-<br><span
-class="cmtt-10">pgf.cfg </span>file, 363
-<br><span
-class="cmtt-10">\pgf@pathmaxx</span>, 263
-<br><span
-class="cmtt-10">\pgf@pathmaxy</span>, 263
-<br><span
-class="cmtt-10">\pgf@pathminx</span>, 263
-<br><span
-class="cmtt-10">\pgf@pathminy</span>, 263
-<br><span
-class="cmtt-10">\pgf@picmaxx</span>, 263
-<br><span
-class="cmtt-10">\pgf@picmaxy</span>, 264
-<br><span
-class="cmtt-10">\pgf@picminx</span>, 263
-<br><span
-class="cmtt-10">\pgf@picminy</span>, 263
-<br><span
-class="cmtt-10">\pgf@process</span>, 249
-<br><span
-class="cmtt-10">\pgf@protocolsizes</span>, 264
-<br><span
-class="cmtt-10">\pgf@relevantforpicturesizefalse</span>, 264
-<br><span
-class="cmtt-10">\pgf@relevantforpicturesizetrue</span>, 264
-<br><span
-class="cmtt-10">\pgf@sys@bp</span>, 380
-<br><span
-class="cmtt-10">\pgfaliasimage</span>, 331
-<br><span
-class="cmtt-10">\pgfalternateextension</span>, 333
-<br><span
-class="cmtt-10">\pgfarrowsdeclare</span>, 288
-<br><span
-class="cmtt-10">\pgfarrowsdeclarealias</span>, 292
-<br><span
-class="cmtt-10">\pgfarrowsdeclarecombine</span>, 292
-<br><span
-class="cmtt-10">\pgfarrowsdeclaredouble</span>, 293
-<br><span
-class="cmtt-10">\pgfarrowsdeclarereversed</span>, 292
-<br><span
-class="cmtt-10">\pgfarrowsdeclaretriple</span>, 294
-<br><span
-class="cmtt-10">pgfbaseimage </span>package, 330
-<br><span
-class="cmtt-10">pgfbaselayers </span>package, 353
-<br><span
-class="cmtt-10">pgfbaseplot </span>package, 345
-<br><span
-class="cmtt-10">pgfbaseshapes </span>package, 298
-<br><span
-class="cmtt-10">pgfcore </span>package, 232
-<br><span
-class="cmtt-10">\pgfdeclarehorizontalshading</span>, 338
-<br><span
-class="cmtt-10">\pgfdeclareimage</span>, 331
-<br><span
-class="cmtt-10">\pgfdeclarelayer</span>, 353
-<br><span
-class="cmtt-10">\pgfdeclaremask</span>, 334
-<br><span
-class="cmtt-10">\pgfdeclareplotmark</span>, 186
-<br><span
-class="cmtt-10">\pgfdeclareradialshading</span>, 339
-<br><span
-class="cmtt-10">\pgfdeclareshape</span>, 306
-<br><span
-class="cmtt-10">\pgfdeclaresnake</span>, 268
-<br><span
-class="cmtt-10">\pgfdeclareverticalshading</span>, 339
-<br><span
-class="cmtt-10">\pgfextractx</span>, 249
-<br><span
-class="cmtt-10">\pgfextracty</span>, 249
-<br><span
-class="cmtt-10">\pgfgettransform</span>, 325
-<br><span
-class="cmtt-10">\pgfimage</span>, 333
-
-
-<br><span
-class="cmtt-10">pgfinterruptpath </span>environment, 236
-<br><span
-class="cmtt-10">pgfinterruptpicture </span>environment, 236
-<br><span
-class="cmtt-10">pgflibraryarrows </span>package, 176
-<br><span
-class="cmtt-10">pgflibraryautomata </span>package, 197
-<br><span
-class="cmtt-10">pgflibraryplothandlers </span>package, 182
-<br><span
-class="cmtt-10">pgflibraryplotmarks </span>package, 187
-<br><span
-class="cmtt-10">pgflibraryshapes </span>package, 188
-<br><span
-class="cmtt-10">pgflibrarysnakes </span>package, 177
-<br><span
-class="cmtt-10">pgflibrarytikzbackgrounds </span>package, 194
-<br><span
-class="cmtt-10">pgflibrarytikztrees </span>package, 190
-<br><span
-class="cmtt-10">\pgflinewidth</span>, 278
-<br><span
-class="cmtt-10">\pgflowlevel</span>, 326
-<br><span
-class="cmtt-10">\pgflowlevelobj</span>, 326
-<br><span
-class="cmtt-10">pgflowlevelscope </span>environment, 327
-<br><span
-class="cmtt-10">\pgflowlevelsynccm</span>, 326
-<br><span
-class="cmtt-10">\pgfmultipartnode</span>, 301
-<br><span
-class="cmtt-10">\pgfnode</span>, 300
-<br><span
-class="cmtt-10">pgfonlayer </span>environment, 354, 355
-<br><span
-class="cmtt-10">\pgfpagescurrentpagewillbelogicalpage</span>, 217
-<br><span
-class="cmtt-10">\pgfpagesdeclarelayout</span>, 212
-<br><span
-class="cmtt-10">\pgfpageslogicalpageoptions</span>, 214
-<br><span
-class="cmtt-10">\pgfpagesphysicalpageoptions</span>, 213
-<br><span
-class="cmtt-10">\pgfpagesshipoutlogicalpage</span>, 216
-<br><span
-class="cmtt-10">\pgfpagesuselayout</span>, 210
-<br><span
-class="cmtt-10">\pgfpatharc</span>, 256
-<br><span
-class="cmtt-10">\pgfpathcirlce</span>, 258
-<br><span
-class="cmtt-10">\pgfpathclose</span>, 255
-<br><span
-class="cmtt-10">\pgfpathcosine</span>, 261
-<br><span
-class="cmtt-10">\pgfpathcurveto</span>, 255
-<br><span
-class="cmtt-10">\pgfpathellipse</span>, 257
-<br><span
-class="cmtt-10">\pgfpathgrid</span>, 259
-<br><span
-class="cmtt-10">\pgfpathlineto</span>, 254
-<br><span
-class="cmtt-10">\pgfpathmoveto</span>, 254
-<br><span
-class="cmtt-10">\pgfpathparabola</span>, 260
-<br><span
-class="cmtt-10">\pgfpathqcircle</span>, 359
-<br><span
-class="cmtt-10">\pgfpathqcurveto</span>, 359
-<br><span
-class="cmtt-10">\pgfpathqlineto</span>, 358
-<br><span
-class="cmtt-10">\pgfpathqmoveto</span>, 358
-<br><span
-class="cmtt-10">\pgfpathrectangle</span>, 258
-<br><span
-class="cmtt-10">\pgfpathrectanglecorners</span>, 258
-<br><span
-class="cmtt-10">\pgfpathsine</span>, 260
-<br><span
-class="cmtt-10">\pgfpathsnakealongvector</span>, 272
-<br><span
-class="cmtt-10">\pgfpathsnakesto</span>, 272
-<br><span
-class="cmtt-10">\pgfpathsnaketo</span>, 273
-<br><span
-class="cmtt-10">pgfpicture </span>environment, 233, 234
-<br><span
-class="cmtt-10">\pgfplotgnuplot</span>, 348
-<br><span
-class="cmtt-10">\pgfplothandlerclosedcurve</span>, 183
-<br><span
-class="cmtt-10">\pgfplothandlercurveto</span>, 182
-<br><span
-class="cmtt-10">\pgfplothandlerdiscard</span>, 350
-<br><span
-class="cmtt-10">\pgfplothandlerlineto</span>, 349
-<br><span
-class="cmtt-10">\pgfplothandlermark</span>, 185
-<br><span
-class="cmtt-10">\pgfplothandlerpolarcomb</span>, 184
-<br><span
-class="cmtt-10">\pgfplothandlerrecord</span>, 350
-<br><span
-class="cmtt-10">\pgfplothandlerxcomb</span>, 184
-<br><span
-class="cmtt-10">\pgfplothandlerycomb</span>, 184
-<br><span
-class="cmtt-10">\pgfplotmarksize</span>, 187
-<br><span
-class="cmtt-10">\pgfplotstreamend</span>, 347
-<br><span
-class="cmtt-10">\pgfplotstreampoint</span>, 347
-
-
-<br><span
-class="cmtt-10">\pgfplotstreamstart</span>, 347
-<br><span
-class="cmtt-10">\pgfplotxyfile</span>, 347
-<br><span
-class="cmtt-10">\pgfplotxyzfile</span>, 348
-<br><span
-class="cmtt-10">\pgfpoint</span>, 241
-<br><span
-class="cmtt-10">\pgfpointadd</span>, 244
-<br><span
-class="cmtt-10">\pgfpointanchor</span>, 303
-<br><span
-class="cmtt-10">\pgfpointborderellipse</span>, 248
-<br><span
-class="cmtt-10">\pgfpointborderrectangle</span>, 247
-<br><span
-class="cmtt-10">\pgfpointcurveattime</span>, 246
-<br><span
-class="cmtt-10">\pgfpointdiff</span>, 244
-<br><span
-class="cmtt-10">\pgfpointintersectionoflines</span>, 248
-<br><span
-class="cmtt-10">\pgfpointlineatdistance</span>, 246
-<br><span
-class="cmtt-10">\pgfpointlineattime</span>, 245
-<br><span
-class="cmtt-10">\pgfpointnormalised</span>, 245
-<br><span
-class="cmtt-10">\pgfpointorigin</span>, 241
-<br><span
-class="cmtt-10">\pgfpointpolar</span>, 241
-<br><span
-class="cmtt-10">\pgfpointscale</span>, 244
-<br><span
-class="cmtt-10">\pgfpointshapeborder</span>, 304
-<br><span
-class="cmtt-10">\pgfpointxy</span>, 242
-<br><span
-class="cmtt-10">\pgfpointxyz</span>, 242
-<br><span
-class="cmtt-10">\pgfqbox</span>, 360
-<br><span
-class="cmtt-10">\pgfqboxsynced</span>, 360
-<br><span
-class="cmtt-10">pgfscope </span>environment, 234, 235
-<br><span
-class="cmtt-10">\pgfsetarrows</span>, 281, 295
-<br><span
-class="cmtt-10">\pgfsetarrowsend</span>, 281, 294
-<br><span
-class="cmtt-10">\pgfsetarrowsstart</span>, 281, 294
-<br><span
-class="cmtt-10">\pgfsetbaseline</span>, 234
-<br><span
-class="cmtt-10">\pgfsetbeveljoin</span>, 278
-<br><span
-class="cmtt-10">\pgfsetbuttcap</span>, 278
-<br><span
-class="cmtt-10">\pgfsetcolor</span>, 280
-<br><span
-class="cmtt-10">\pgfsetcornersarced</span>, 262
-<br><span
-class="cmtt-10">\pgfsetdash</span>, 279
-<br><span
-class="cmtt-10">\pgfseteorule</span>, 282
-<br><span
-class="cmtt-10">\pgfsetfillcolor</span>, 283
-<br><span
-class="cmtt-10">\pgfsetfillopacity</span>, 283
-<br><span
-class="cmtt-10">\pgfsetlayers</span>, 354
-<br><span
-class="cmtt-10">\pgfsetlinetofirstplotpoint</span>, 349
-<br><span
-class="cmtt-10">\pgfsetlinewidth</span>, 277
-<br><span
-class="cmtt-10">\pgfsetmiterjoin</span>, 279
-<br><span
-class="cmtt-10">\pgfsetmiterlimit</span>, 279
-<br><span
-class="cmtt-10">\pgfsetmovetofirstplotpoint</span>, 349
-<br><span
-class="cmtt-10">\pgfsetnonzerorule</span>, 282
-<br><span
-class="cmtt-10">\pgfsetplotmarksize</span>, 186
-<br><span
-class="cmtt-10">\pgfsetplottension</span>, 183
-<br><span
-class="cmtt-10">\pgfsetrectcap</span>, 278
-<br><span
-class="cmtt-10">\pgfsetroundcap</span>, 278
-<br><span
-class="cmtt-10">\pgfsetroundjoin</span>, 278
-<br><span
-class="cmtt-10">\pgfsetshapeinnerxsep</span>, 302
-<br><span
-class="cmtt-10">\pgfsetshapeinnerysep</span>, 303
-<br><span
-class="cmtt-10">\pgfsetshapeminheight</span>, 302
-<br><span
-class="cmtt-10">\pgfsetshapeminwidth</span>, 302
-<br><span
-class="cmtt-10">\pgfsetshapeouterxsep</span>, 303
-<br><span
-class="cmtt-10">\pgfsetshapeouterysep</span>, 303
-<br><span
-class="cmtt-10">\pgfsetshortenend</span>, 282
-<br><span
-class="cmtt-10">\pgfsetshortenstart</span>, 281
-<br><span
-class="cmtt-10">\pgfsetsnakesegmenttransformation</span>, 273
-<br><span
-class="cmtt-10">\pgfsetstrokecolor</span>, 279
-<br><span
-class="cmtt-10">\pgfsetstrokeopacity</span>, 280
-
-
-<br><span
-class="cmtt-10">\pgfsettransform</span>, 325
-<br><span
-class="cmtt-10">\pgfsetxvec</span>, 243
-<br><span
-class="cmtt-10">\pgfsetyvec</span>, 243
-<br><span
-class="cmtt-10">\pgfsetzvec</span>, 243
-<br><span
-class="cmtt-10">\pgfshadepath</span>, 340
-<br><span
-class="cmtt-10">\pgfsnakecompleteddistance</span>, 270
-<br><span
-class="cmtt-10">\pgfsnakeremainingdistance</span>, 270
-<br><span
-class="cmtt-10">pgfsys </span>package, 363
-<br><span
-class="cmtt-10">pgfsys-common-pdf </span>file, 364
-<br><span
-class="cmtt-10">pgfsys-common-postscript </span>file, 364
-<br><span
-class="cmtt-10">pgfsys-dvipdfm.def </span>file, 64
-<br><span
-class="cmtt-10">pgfsys-dvips.def </span>file, 65
-<br><span
-class="cmtt-10">pgfsys-pdftex.def </span>file, 64
-<br><span
-class="cmtt-10">pgfsys-tex4ht.def </span>file, 65
-<br><span
-class="cmtt-10">pgfsys-textures.def </span>file, 65
-<br><span
-class="cmtt-10">pgfsys-vtex.def </span>file, 64
-<br><span
-class="cmtt-10">\pgfsys@begininvisible</span>, 380
-<br><span
-class="cmtt-10">\pgfsys@beginpicture</span>, 367
-<br><span
-class="cmtt-10">\pgfsys@beginpurepicture</span>, 367
-<br><span
-class="cmtt-10">\pgfsys@beginscope</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@beveljoin</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@buttcap</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@clipnext</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@closepath</span>, 369
-<br><span
-class="cmtt-10">\pgfsys@closestroke</span>, 371
-<br><span
-class="cmtt-10">\pgfsys@color@cmy</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmy@fill</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmy@stroke</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmyk</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmyk@fill</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmyk@stroke</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@gray</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@gray@fill</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@gray@stroke</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@reset</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@reset@inorderfalse</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@reset@inordertrue</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@rgb</span>, 374
-<br><span
-class="cmtt-10">\pgfsys@color@rgb@fill</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@rgb@stroke</span>, 374
-<br><span
-class="cmtt-10">\pgfsys@color@unstacked</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@curveto</span>, 369
-<br><span
-class="cmtt-10">\pgfsys@defineimage</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@definemask</span>, 378
-<br><span
-class="cmtt-10">\pgfsys@defobject</span>, 379
-<br><span
-class="cmtt-10">\pgfsys@discardpath</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@endinvisible</span>, 380
-<br><span
-class="cmtt-10">\pgfsys@endpicture</span>, 367
-<br><span
-class="cmtt-10">\pgfsys@endpurepicture</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@endscope</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@fill</span>, 371
-<br><span
-class="cmtt-10">\pgfsys@fill@opacity</span>, 374
-<br><span
-class="cmtt-10">\pgfsys@fillstroke</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@hbox</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@hboxsynced</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@horishading</span>, 378
-<br><span
-class="cmtt-10">\pgfsys@imagesuffixlist</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@invoke</span>, 379
-
-
-<br><span
-class="cmtt-10">\pgfsys@lineto</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@miterjoin</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@moveto</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@radialshading</span>, 379
-<br><span
-class="cmtt-10">\pgfsys@rect</span>, 369
-<br><span
-class="cmtt-10">\pgfsys@rectcap</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@roundcap</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@roundjoin</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@setdash</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@setlinewidth</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@setmiterlimit</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@stroke</span>, 370
-<br><span
-class="cmtt-10">\pgfsys@stroke@opacity</span>, 374
-<br><span
-class="cmtt-10">\pgfsys@transformcm</span>, 370
-<br><span
-class="cmtt-10">\pgfsys@transformshift</span>, 370
-<br><span
-class="cmtt-10">\pgfsys@transformxyscale</span>, 370
-<br><span
-class="cmtt-10">\pgfsys@typesetpicturebox</span>, 367
-<br><span
-class="cmtt-10">\pgfsys@useobject</span>, 379
-<br><span
-class="cmtt-10">\pgfsys@vertshading</span>, 379
-<br><span
-class="cmtt-10">\pgfsysdriver</span>, 363
-<br><span
-class="cmtt-10">\pgfsysprotocol@bufferedfalse</span>, 389
-<br><span
-class="cmtt-10">\pgfsysprotocol@bufferedtrue</span>, 389
-<br><span
-class="cmtt-10">\pgfsysprotocol@flushcurrentprotocol</span>, 390
-<br><span
-class="cmtt-10">\pgfsysprotocol@getcurrentprotocol</span>, 390
-<br><span
-class="cmtt-10">\pgfsysprotocol@invokecurrentprotocol</span>, 390
-<br><span
-class="cmtt-10">\pgfsysprotocol@literal</span>, 389
-<br><span
-class="cmtt-10">\pgfsysprotocol@literalbuffered</span>, 389
-<br><span
-class="cmtt-10">\pgfsysprotocol@setcurrentprotocol</span>, 390
-<br><span
-class="cmtt-10">\pgfsyssoftpath@closepath</span>, 385
-<br><span
-class="cmtt-10">\pgfsyssoftpath@curveto</span>, 385
-<br><span
-class="cmtt-10">\pgfsyssoftpath@flushcurrentpath</span>, 384
-<br><span
-class="cmtt-10">\pgfsyssoftpath@getcurrentpath</span>, 384
-<br><span
-class="cmtt-10">\pgfsyssoftpath@invokecurrentpath</span>, 384
-<br><span
-class="cmtt-10">\pgfsyssoftpath@lineto</span>, 385
-<br><span
-class="cmtt-10">\pgfsyssoftpath@moveto</span>, 384
-<br><span
-class="cmtt-10">\pgfsyssoftpath@rect</span>, 385
-<br><span
-class="cmtt-10">\pgfsyssoftpath@setcurrentpath</span>, 384
-<br><span
-class="cmtt-10">\pgftext</span>, 237
-<br><span
-class="cmtt-10">\pgftransformarrow</span>, 321
-<br><span
-class="cmtt-10">\pgftransformcm</span>, 320
-<br><span
-class="cmtt-10">\pgftransformcurveattime</span>, 322
-<br><span
-class="cmtt-10">\pgftransforminvert</span>, 324
-<br><span
-class="cmtt-10">\pgftransformlineattime</span>, 321
-<br><span
-class="cmtt-10">\pgftransformreset</span>, 323
-<br><span
-class="cmtt-10">\pgftransformresetnontranslations</span>, 324
-<br><span
-class="cmtt-10">\pgftransformrotate</span>, 320
-<br><span
-class="cmtt-10">\pgftransformscale</span>, 319
-<br><span
-class="cmtt-10">\pgftransformshift</span>, 318
-<br><span
-class="cmtt-10">\pgftransformxscale</span>, 319
-<br><span
-class="cmtt-10">\pgftransformxshift</span>, 318
-<br><span
-class="cmtt-10">\pgftransformxslant</span>, 319
-<br><span
-class="cmtt-10">\pgftransformyscale</span>, 319
-<br><span
-class="cmtt-10">\pgftransformyshift</span>, 318
-<br><span
-class="cmtt-10">\pgftransformyslant</span>, 320
-<br><span
-class="cmtt-10">\pgfuseimage</span>, 332
-<br><span
-class="cmtt-10">\pgfusepath</span>, 276
-<br><span
-class="cmtt-10">\pgfusepathqclip</span>, 360
-<br><span
-class="cmtt-10">\pgfusepathqfill</span>, 360
-
-
-<br><span
-class="cmtt-10">\pgfusepathqfillstroke</span>, 360
-<br><span
-class="cmtt-10">\pgfusepathqstroke</span>, 360
-<br><span
-class="cmtt-10">\pgfuseplotmark</span>, 185
-<br><span
-class="cmtt-10">\pgfuseshading</span>, 340
-<br><span
-class="cmtt-10">plot </span>path operation, 106
-<br>Plot marks
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">|</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">+</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">-</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">asterisk</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ball</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">diamond</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">diamond*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">o</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">oplus</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">oplus*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">otimes</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">otimes*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pentagon</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pentagon*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">square</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">square*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">star</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">x</span>, 187
-<br><span
-class="cmtt-10">polar comb </span>option, 112
-<br><span
-class="cmtt-10">pos </span>option, 144
-<br><span
-class="cmtt-10">prefix </span>option, 109
-<br></p><p class="theindex">
- <span
-class="cmtt-10">raise snake </span>option, 96
-<br><span
-class="cmtt-10">raw gnuplot </span>option, 109
-<br><span
-class="cmtt-10">rectangle </span>path operation, 100
-<br><span
-class="cmtt-10">rectangle </span>shape, 313
-<br><span
-class="cmtt-10">reset cm </span>option, 173
-<br><span
-class="cmtt-10">resize to </span>layout, 210
-<br><span
-class="cmtt-10">right </span>option, 143, 237
-<br><span
-class="cmtt-10">right color </span>option, 129
-<br><span
-class="cmtt-10">right hook </span>arrow tip, 177
-<br><span
-class="cmtt-10">right hook reversed </span>arrow tip, 177
-<br><span
-class="cmtt-10">right to </span>arrow tip, 177
-<br><span
-class="cmtt-10">right to reversed </span>arrow tip, 177
-<br><span
-class="cmtt-10">rotate </span>option, 172, 238
-<br><span
-class="cmtt-10">rotate around </span>option, 173
-<br><span
-class="cmtt-10">round cap </span>arrow tip, 177
-<br><span
-class="cmtt-10">rounded corners </span>layout, 211
-<br><span
-class="cmtt-10">rounded corners </span>option, 100
-<br></p><p class="theindex">
- <span
-class="cmtt-10">samples </span>option, 108
-<br><span
-class="cmtt-10">\savedanchor</span>, 307
-<br><span
-class="cmtt-10">\saveddimen</span>, 308
-<br><span
-class="cmtt-10">saw </span>snake, 180
-<br><span
-class="cmtt-10">scale </span>option, 171
-<br><span
-class="cmtt-10">scope </span>environment, 78, 79
-<br><span
-class="cmtt-10">segment amplitude </span>option, 96
-
-
-<br><span
-class="cmtt-10">segment angle </span>option, 97
-<br><span
-class="cmtt-10">segment aspect </span>option, 98
-<br><span
-class="cmtt-10">segment length </span>option, 97
-<br><span
-class="cmtt-10">segment object length </span>option, 97
-<br><span
-class="cmtt-10">semithick </span>style, 118
-<br><span
-class="cmtt-10">semitransparent </span>style, 122
-<br><span
-class="cmtt-10">set style </span>option, 80
-<br><span
-class="cmtt-10">\shade</span>, 116
-<br><span
-class="cmtt-10">shade </span>option, 127
-<br><span
-class="cmtt-10">\shadedraw</span>, 116
-<br><span
-class="cmtt-10">shading </span>option, 128
-<br><span
-class="cmtt-10">shading angle </span>option, 128
-<br><span
-class="cmtt-10">shape </span>option, 136
-<br>Shapes
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">circle</span>, 313
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">coordinate</span>, 313
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">cross out</span>, 188
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ellipse</span>, 189
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">forbidden sign</span>, 189
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rectangle</span>, 313
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">state</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">state with output</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">strike out</span>, 190
-<br><span
-class="cmtt-10">sharp corners </span>option, 101
-<br><span
-class="cmtt-10">sharp plot </span>option, 110
-<br><span
-class="cmtt-10">shift </span>option, 171
-<br><span
-class="cmtt-10">shorten &lt; </span>option, 124
-<br><span
-class="cmtt-10">shorten &gt; </span>option, 123
-<br><span
-class="cmtt-10">show background bottom </span>style, 197
-<br><span
-class="cmtt-10">show background grid </span>style, 195
-<br><span
-class="cmtt-10">show background left </span>style, 197
-<br><span
-class="cmtt-10">show background rectangle </span>style, 194
-<br><span
-class="cmtt-10">show background right </span>style, 197
-<br><span
-class="cmtt-10">show background top </span>style, 196
-<br><span
-class="cmtt-10">sibling angle </span>option, 192
-<br><span
-class="cmtt-10">sibling distance </span>option, 159
-<br><span
-class="cmtt-10">sin </span>path operation, 105
-<br><span
-class="cmtt-10">sloped </span>option, 145
-<br><span
-class="cmtt-10">smooth </span>option, 110
-<br><span
-class="cmtt-10">smooth cycle </span>option, 111
-<br><span
-class="cmtt-10">snake </span>option, 95
-<br><span
-class="cmtt-10">snake </span>snake, 180
-<br><span
-class="cmtt-10">snake triangles 45 </span>style, 98
-<br><span
-class="cmtt-10">snake triangles 60 </span>style, 98
-<br><span
-class="cmtt-10">snake triangles 90 </span>style, 98
-<br>Snakes
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">border</span>, 178
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">brace</span>, 178
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bumps</span>, 178
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">coil</span>, 179
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">expanding waves</span>, 179
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">lineto</span>, 272
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">moveto</span>, 272
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">saw</span>, 180
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake</span>, 180
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ticks</span>, 180
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangles</span>, 181
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">waves</span>, 181
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">zigzag</span>, 181
-<br><span
-class="cmtt-10">solid </span>style, 120
-<br><span
-class="cmtt-10">square </span>plot mark, 187
-<br><span
-class="cmtt-10">square* </span>plot mark, 187
-<br><span
-class="cmtt-10">star </span>plot mark, 187
-<br><span
-class="cmtt-10">\state</span>, 269
-<br><span
-class="cmtt-10">state </span>shape, 197
-<br><span
-class="cmtt-10">state with output </span>shape, 197
-<br><span
-class="cmtt-10">stealth </span>arrow tip, 295
-<br><span
-class="cmtt-10">stealth reversed </span>arrow tip, 295
-<br><span
-class="cmtt-10">stealth' </span>arrow tip, 176
-<br><span
-class="cmtt-10">stealth' reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">step </span>option, 102, 259
-<br><span
-class="cmtt-10">stepx </span>option, 259
-<br><span
-class="cmtt-10">stepy </span>option, 259
-<br><span
-class="cmtt-10">strike out </span>shape, 190
-<br><span
-class="cmtt-10">style </span>option, 79
-<br>Styles
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">at end</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">at start</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">background grid</span>, 195
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">background rectangle</span>, 195
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">background top</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bend at end</span>, 104
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bend at start</span>, 104
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">dashed</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">densely dashed</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">densely dotted</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">dotted</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent</span>, 163
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent fork down</span>, 193
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent fork left</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent fork right</span>, 193
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent fork up</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">part name</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node part</span>, 138
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node</span>, 137
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every child</span>, 156
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every child node</span>, 156
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every node</span>, 136
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every path</span>, 92
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every picture</span>, 77
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every plot</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every scope</span>, 78
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">framed</span>, 195
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">gridded</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grow cyclic</span>, 192
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">help lines</span>, 103
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">level </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">number</span><span
-class="cmsy-10">&gt;</span>, 156
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">loose background</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">loosely dashed</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">loosely dotted</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">midway</span>, 145
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">near end</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">near start</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">nearly opaque</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">nearly transparent</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">opaque</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">semithick</span>, 118
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">semitransparent</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background bottom</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background grid</span>, 195
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background left</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background rectangle</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background right</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background top</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake triangles 45</span>, 98
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake triangles 60</span>, 98
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake triangles 90</span>, 98
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">solid</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">thick</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">thin</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">tight background</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">transparent</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ultra nearly opaque</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ultra nearly transparent</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ultra thick</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ultra thin</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very near end</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very near start</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very nearly opaque</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very nearly transparent</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very thick</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very thin</span>, 118
-<br><span
-class="cmtt-10">switch if less than </span>option, 269
-<br></p><p class="theindex">
- <span
-class="cmtt-10">tension </span>option, 110
-<br><span
-class="cmtt-10">text </span>option, 138
-<br><span
-class="cmtt-10">text badly centered </span>option, 141
-<br><span
-class="cmtt-10">text badly ragged </span>option, 140
-<br><span
-class="cmtt-10">text centered </span>option, 140
-<br><span
-class="cmtt-10">text justified </span>option, 140
-<br><span
-class="cmtt-10">text opacity </span>option, 138
-<br><span
-class="cmtt-10">text ragged </span>option, 140
-<br><span
-class="cmtt-10">text width </span>option, 139
-<br><span
-class="cmtt-10">thick </span>style, 118
-<br><span
-class="cmtt-10">thin </span>style, 118
-<br><span
-class="cmtt-10">ticks </span>snake, 180
-<br><span
-class="cmtt-10">tight background </span>style, 194
-<br><span
-class="cmtt-10">\tikz</span>, 77, 78
-<br><span
-class="cmtt-10">tikz </span>package, 75
-<br><span
-class="cmtt-10">tikzpicture </span>environment, 76, 77
-<br><span
-class="cmtt-10">\tikzstyle</span>, 80
-<br><span
-class="cmtt-10">to </span>arrow tip, 295
-<br><span
-class="cmtt-10">to reversed </span>arrow tip, 295
-<br><span
-class="cmtt-10">top </span>option, 237
-<br><span
-class="cmtt-10">top color </span>option, 129
-<br><span
-class="cmtt-10">transform shape </span>option, 143
-<br><span
-class="cmtt-10">transparent </span>style, 121
-<br><span
-class="cmtt-10">triangle </span>plot mark, 187
-<br><span
-class="cmtt-10">triangle 45 </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 45 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 60 </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 60 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 90 </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 90 cap </span>arrow tip, 177
-
-
-<br><span
-class="cmtt-10">triangle 90 cap reversed </span>arrow tip, 177
-<br><span
-class="cmtt-10">triangle 90 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle* </span>plot mark, 187
-<br><span
-class="cmtt-10">triangles </span>snake, 181
-<br><span
-class="cmtt-10">two screens with lagging second </span>layout, 212
-<br><span
-class="cmtt-10">two screens with optional second </span>layout, 212
-<br></p><p class="theindex">
- <span
-class="cmtt-10">ultra nearly opaque </span>style, 122
-<br><span
-class="cmtt-10">ultra nearly transparent </span>style, 121
-<br><span
-class="cmtt-10">ultra thick </span>style, 118
-<br><span
-class="cmtt-10">ultra thin </span>style, 118
-<br><span
-class="cmtt-10">use as bounding box </span>option, 130
-<br><span
-class="cmtt-10">\useasboundingbox</span>, 116
-<br></p><p class="theindex">
- <span
-class="cmtt-10">version=</span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">version</span><span
-class="cmsy-10">&gt; </span>package option, 231
-<br><span
-class="cmtt-10">very near end </span>style, 146
-<br><span
-class="cmtt-10">very near start </span>style, 146
-<br><span
-class="cmtt-10">very nearly opaque </span>style, 122
-<br><span
-class="cmtt-10">very nearly transparent </span>style, 121
-<br><span
-class="cmtt-10">very thick </span>style, 118
-<br><span
-class="cmtt-10">very thin </span>style, 118
-<br></p><p class="theindex">
- <span
-class="cmtt-10">waves </span>snake, 181
-<br><span
-class="cmtt-10">width </span>option, 269
-<br></p><p class="theindex">
- <span
-class="cmtt-10">x </span>option, 169, 238
-<br><span
-class="cmtt-10">x </span>plot mark, 187
-<br><span
-class="cmtt-10">xcomb </span>option, 111
-<br><span
-class="cmtt-10">xscale </span>option, 171
-<br><span
-class="cmtt-10">xshift </span>option, 171
-<br><span
-class="cmtt-10">xslant </span>option, 172
-<br><span
-class="cmtt-10">xstep </span>option, 102
-<br></p><p class="theindex">
- <span
-class="cmtt-10">y </span>option, 169, 238
-<br><span
-class="cmtt-10">ycomb </span>option, 111
-<br><span
-class="cmtt-10">yscale </span>option, 172
-<br><span
-class="cmtt-10">yshift </span>option, 171
-<br><span
-class="cmtt-10">yslant </span>option, 172
-<br><span
-class="cmtt-10">ystep </span>option, 102
-<br></p><p class="theindex">
- <span
-class="cmtt-10">z </span>option, 169
-<br><span
-class="cmtt-10">zigzag </span>snake, 181
-<br></p></div>
-
-</body></html>
-
-
-
-
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex
index 7d8c454a8e5..4bc4b274f71 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex
@@ -1,10 +1,13 @@
-\documentclass{ltxdoc}
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\documentclass{ltxdoc}
% pgf version is defined in \pgfversion in file
% generic/pgf/utilities/pgfrcs.code.tex
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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>1 Introduction</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse2.html" >next</a>] [<a
-href="#tailpgfmanualse1.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse1.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">1 </span> <a
- id="x2-30001"></a>Introduction</h3>
-<!--l. 11--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package, where &#8220;<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8221; is supposed to mean &#8220;portable graphics format&#8221; (or &#8220;pretty, good, functional&#8221; if
-you prefer...), is a package for creating graphics in an &#8220;inline&#8221; manner. The package defines a number of
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;commands that draw graphics. For example, the code <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw</span><span
-class="cmtt-10">&nbsp;(0pt,0pt)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(20pt,6pt);</span></span></span> yields the
-line <object data="pgfmanual-3.svg" width="28.19987 " height="9.53328 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and the code <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\fill[orange]</span><span
-class="cmtt-10">&nbsp;(1ex,1ex)</span><span
-class="cmtt-10">&nbsp;circle</span><span
-class="cmtt-10">&nbsp;(1ex);</span></span></span> yields <object data="pgfmanual-4.svg" width="12.4814 " height="12.4814 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
-<!--l. 20--><p class="indent"> In a sense, when using <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;you &#8220;program&#8221; your graphics, just as you &#8220;program&#8221; your document
-when using <span class="TEX">T<span
-class="E">E</span>X</span>. This means that you get the advantages of the &#8220;<span class="TEX">T<span
-class="E">E</span>X</span>-approach to typesetting&#8221;
-also for your graphics: quick creation of simple graphics, precise positioning, the use of macros, often
-superior typography. You also inherit all the disadvantages: steep learning curve, no <span
-class="cmcsc-10"><small
-class="small-caps">W</small><small
-class="small-caps">Y</small><small
-class="small-caps">S</small><small
-class="small-caps">I</small><small
-class="small-caps">W</small><small
-class="small-caps">Y</small><small
-class="small-caps">G</small></span>, small
-changes require a long recompilation time, and the code does not really &#8220;show&#8221; how things will look
-like.
-<!--l. 31--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.1 </span> <a
- id="x2-40001.1"></a>Structure of the System</h4>
-<!--l. 33--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system consists of different layers:
-<!--l. 35--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="cmbx-10">System layer:</span> </dt><dd
-class="description">This layer provides a complete abstraction of what is going on &#8220;in the driver.&#8221; The driver
- is a program like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span> that takes a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file as input and generates a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span> or a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> file.
- (The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> program also counts as a driver, even though it does not take a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file as input. Never
- mind.) Each driver has its own syntax for the generation of graphics, causing headaches to everyone
- who wants to create graphics in a portable way. <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 system layer &#8220;abstracts away&#8221; these differences.
- For example, the system command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto{10pt}{10pt}</span></span></span> extends the current path to the
- coordinate (10pt<span
-class="cmmi-10">,</span>10pt) of the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. Depending on whether <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>, or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> is used to process the document, the system command will be converted to different <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span>
- commands.
- <!--l. 51--><p class="noindent">The system layer is as &#8220;minimalistic&#8221; as possible since each additional command makes it more work to
- port <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to a new driver. Currently, only drivers that produce PostScript or <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>output are supported
- and only few of these (hence the name <span
-class="cmti-10">portable </span>graphics format is currently a bit boastful). However,
- in principle, the system layer could be ported to many different drivers quite easily. It should even be
- possible to produce, say, <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>output in conjunction with <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">E</small><small
-class="small-caps">X</small>4<small
-class="small-caps">H</small><small
-class="small-caps">T</small></span>.
- <!--l. 61--><p class="noindent">As a user, you will not use the system layer directly.
- </dd><dt class="description">
-<span
-class="cmbx-10">Basic layer:</span> </dt><dd
-class="description">The basic layer provides a set of basic commands that allow you to produce complex graphics
- in a much easier way than by using the system layer directly. For example, the system layer provides no
- commands for creating circles since circles can be composed from the more basic B&eacute;zier curves (well,
- almost). However, as a user you will want to have a simple command to create circles (at least I do)
- instead of having to write down half a page of B&eacute;zier curve support coordinates. Thus, the basic layer
- provides a command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathcircle</span></span></span> that generates the necessary curve coordinates for you.
- <!--l. 74--><p class="noindent">The basic layer is consists of a <span
-class="cmti-10">core</span>, which consists of several interdependent packages that can only be
- loaded <span
-class="cmti-10">en bloc, </span>and additional packages that extend the core by more special-purpose commands like
- node management or a plotting interface. For instance, the <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small> </span>package uses the core, but not all
- of the additional packages of the basic layer.
- </dd><dt class="description">
-<span
-class="cmbx-10">Frontend layer:</span> </dt><dd
-class="description">A frontend (of which there can be several) is a set of commands or a special syntax that makes
- using the basic layer easier. A problem with directly using the basic layer is that code written for this layer is
- often too &#8220;verbose.&#8221; For example, to draw a simple triangle, you may need as many as five commands when
- using the basic layer: One for beginning a path at the first corner of the triangle, one for extending the path to
- the second corner, one for going to the third, one for closing the path, and one for actually painting the
- triangle (as opposed to filling it). With the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz</span></span></span> frontend all this boils down to a single simple <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>-like
- command:
-
-
- <table width="100%"
-class="verbatim"><tr class="verbatim"><td
-class="verbatim"><div class="verbatim">
- \draw&nbsp;(0,0)&nbsp;--&nbsp;(1,0)&nbsp;--&nbsp;(1,1)&nbsp;--&nbsp;cycle;
-</div>
- </td></tr></table>
- <!--l. 94--><p class="nopar">
- <!--l. 96--><p class="noindent">There are different frontends:
- <ul class="itemize1">
- <li class="itemize">The Ti<span
-class="cmti-10">k</span>Z&nbsp;frontend is the &#8220;natural&#8221; frontend for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. It gives you access to all features of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>,
- but it is intended to be easy to use. The syntax is a mixture of <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small> </span>and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small> </span>and
- some ideas of myself. This frontend is <span
-class="cmti-10">neither </span>a complete <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small> </span>compatibility layer nor a
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small> </span>compatibility layer and it is not intended to become either.
- </li>
- <li class="itemize">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpict2e</span></span></span> frontend reimplements the standard <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> environment and
- commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\line</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\vector</span></span></span> using the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;basic layer. This layer is not really &#8220;necessary&#8221;
- since the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pict2e.sty</span></span></span> package does at least as good a job at reimplementing the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span>
- environment. Rather, the idea behind this package is to have a simple demonstration of how a
- frontend can be implemented.</li></ul>
- <!--l. 116--><p class="noindent">It would be possible to implement a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgftricks</span></span></span> frontend that maps <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small> </span>commands to <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands.
- However, I have not done this and even if fully implemented, many things that work in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>&nbsp;will not
- work, namely whenever some <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>&nbsp;command relies too heavily on PostScript trickery. Nevertheless, such
- a package might be useful in some situations.</dd></dl>
-<!--l. 124--><p class="indent"> As a user of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;you will use the commands of a frontend plus perhaps some commands of the basic layer.
-For this reason, this manual explains the frontends first, then the basic layer, and finally the system
-layer.
-<!--l. 131--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.2 </span> <a
- id="x2-50001.2"></a>Comparison with Other Graphics Packages</h4>
-<!--l. 133--><p class="noindent">There were two main motivations for creating <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x2-5002x1"></a>The standard <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> environment is not powerful enough to create anything but really
- simple graphics. This is certainly not due to a lack of knowledge or imagination on the part of <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s
- designer(s). Rather, this is the price paid for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> environment&#8217;s portability: It works together
- with all backend drivers.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x2-5004x2"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pstricks}</span></span></span> package is certainly powerful enough to create any conceivable kind of graphic, but it
- is not portable at all. Most importantly, it does not work with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> nor with any other driver that
- produces anything but PostScript code.</li></ol>
-<!--l. 149--><p class="indent"> The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package is a trade-off between portability and expressive power. It is not as portable as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> and
-perhaps not quite as powerful as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pspicture}</span></span></span>. However, it is more powerful than <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> and more portable
-than <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pspicture}</span></span></span>.
-<!--l. 154--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.3 </span> <a
- id="x2-60001.3"></a>Utilities: Page Management</h4>
-<!--l. 156--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package include a special subpackage called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span>, which is used to assemble several pages into a single
-page. This package is not really about creating graphics, but it is part of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;nevertheless, mostly because its
-implementation uses <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;heavily.
-
-
-<!--l. 161--><p class="indent"> The subpackage <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> provides commands for assembling several &#8220;virtual pages&#8221; into a single &#8220;physical
-page.&#8221; The idea is that whenever <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;has a page ready for &#8220;shipout,&#8221; <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> interrupts this shipout and
-instead stores the page to be shipped out in a special box. When enough &#8220;virtual pages&#8221; have been accumulated in
-this way, they are scaled down and arranged on a &#8220;physical page,&#8221; which then <span
-class="cmti-10">really </span>shipped out. This mechanism
-allows you to create &#8220;two page on one page&#8221; versions of a document directly inside <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;without the use of any
-external programs.
-<!--l. 171--><p class="indent"> However, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> can do quite a lot more than that. You can use it to put logos and watermark on pages, print
-up to 16 pages on one page, add borders to pages, and more.
-<!--l. 178--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.4 </span> <a
- id="x2-70001.4"></a>How to Read This Manual</h4>
-<!--l. 180--><p class="noindent">This manual describes both the design of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system and its usage. The organization is very roughly according
-to &#8220;user-friendliness.&#8221; The commands and subpackages that are easiest and most frequently used are described first,
-more low-level and esoteric features are discussed later.
-<!--l. 186--><p class="indent"> If you have not yet installed <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, please read the installation first. Second, it might be a good idea to read the
-tutorial. Finally, you might wish to skim through the description of Ti<span
-class="cmti-10">k</span>Z. Typically, you will not need to read the
-sections on the basic layer. You will only need to read the part on the system layer if you intend to write your own
-frontend or if you wish to port <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to a new driver.
-<!--l. 193--><p class="indent"> The &#8220;public&#8221; commands and environments provided by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> package are described throughout the text. In
-each such description, the described command, environment or option is printed in red. Text shown in green is
-optional and can be left out.
-<!--l. 200--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.5 </span> <a
- id="x2-80001.5"></a>Getting Help</h4>
-<!--l. 202--><p class="noindent">When you need help with <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z, please do the following:
-<!--l. 205--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x2-8002x1"></a>Read the manual, at least the part that has to do with your problem.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x2-8004x2"></a>If that does not solve the problem, try having a look at the sourceforge development page for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and
- Ti<span
-class="cmti-10">k</span>Z&nbsp;(see the title of this document). Perhaps someone has already reported a similar problem and
- someone has found a solution.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x2-8006x3"></a>On the website you will find numerous forums for getting help. There, you can write to help forums,
- file bug reports, join mailing lists, and so on.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x2-8008x4"></a>Before you file a bug report, especially a bug report concerning the installation, make sure that this
- is really a bug. In particular, have a look at the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.log</span></span></span> file that results when you <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;your files. This
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.log</span></span></span> file should show that all the right files are loaded from the right directories. Nearly all installation
- problems can be resolved by looking at the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.log</span></span></span> file.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x2-8010x5"></a><span
-class="cmti-10">As a last resort </span>you can try to email me (the author). I do not mind getting emails, I simply get
- way too many of them. Because of this, I cannot guarantee that your emails will be answered timely
- or even at all. Your chances that your problem will be fixed are somewhat higher if you mail to the
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;mailing list (naturally, I read this list and answer questions when I have the time).
- </li>
- <li class="enumerate" value="6"
-><a
- id="x2-8012x6"></a>Please, do not phone me in my office. If you need a hotline, buy a commercial product.</li></ol>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse2.html" >next</a>] [<a
-href="pgfmanualse1.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse1.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse1.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse10.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse10.html
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@@ -1,3518 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>10 Actions on Paths</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse11.html" >next</a>] [<a
-href="pgfmanualse9.html" >prev</a>] [<a
-href="pgfmanualse9.html#tailpgfmanualse9.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse10.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse10.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">10 </span> <a
- id="x11-12000010"></a>Actions on Paths</h3>
-<!--l. 10--><p class="noindent">Once a path has been constructed, different things can be done with it. It can be drawn (or stroked) with
-a &#8220;pen,&#8221; it can be filled with a color or shading, it can be used for clipping subsequent drawing, it
-can be used to specify the extend of the picture--or any combination of these actions at the same
-time.
-<!--l. 16--><p class="indent"> To decide what is to be done with a path, two methods can be used. First, you can use a special-purpose
-command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> to indicate that the path should be drawn. However, commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> are
-just abbreviations for special cases of the more general method: Here, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command is used
-to specify the path. Then, options encountered on the path indicate what should be done with the
-path.
-<!--l. 24--><p class="indent"> For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;circle</span><span
-class="cmtt-10">&nbsp;(1cm);</span></span></span> means &#8220;This is a path consisting of a circle around the origin. Do
-not do anything with it (throw it away).&#8221; However, if the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> is encountered anywhere on the path, the
-circle will be drawn. &#8220;Anywhere&#8221; is any point on the path where an option can be given, which is everywhere where
-a path command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span><span
-class="cmtt-10">&nbsp;(1cm)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span> or even just <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> would also be allowed. Thus, the
-following commands all draw the same circle:
-<!--l. 32--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-156-" ><colgroup id="TBL-156-1g"><col
-id="TBL-156-1"></colgroup><tr
- valign="baseline" id="TBL-156-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-156-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm)</span><span
-class="cmtt-8">&nbsp;[draw];</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 37--><p class="indent"> Finally, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;circle</span><span
-class="cmtt-10">&nbsp;(1cm);</span></span></span> also draws a path, because <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;[draw]</span></span></span>
-and thus the command expands to the first line of the above example.
-<!--l. 41--><p class="indent"> Similarly, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill]</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> is an abbreviation for the
-command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill,draw]</span></span></span>. Since options accumulate, the following commands all have the same
-effect:
-<!--l. 45--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-157-" ><colgroup id="TBL-157-1g"><col
-id="TBL-157-1"></colgroup><tr
- valign="baseline" id="TBL-157-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-157-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;[draw,fill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;[fill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;[fill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm)</span><span
-class="cmtt-8">&nbsp;[draw];</span>
-<br><span
-class="cmtt-8">\draw</span><span
-class="cmtt-8">&nbsp;[fill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\filldraw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 54--><p class="indent"> In the following subsection the different actions are explained that can be performed on a path. The following
-commands are abbreviations for certain sets of actions, but for many useful combinations there are no
-abbreviations:
-<!--l. 59--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox74"><span
-class="cmtt-10">\draw</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120001"></a>
- <!--l. 60--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span></span></span>. </dd></dl>
-<!--l. 63--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox75"><span
-class="cmtt-10">\fill</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120002"></a>
- <!--l. 64--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill]</span></span></span>. </dd></dl>
-<!--l. 67--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox76"><span
-class="cmtt-10">\filldraw</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120003"></a>
- <!--l. 68--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill,draw]</span></span></span>. </dd></dl>
-
-
-<!--l. 71--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox77"><span
-class="cmtt-10">\shade</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120004"></a>
- <!--l. 72--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[shade]</span></span></span>. </dd></dl>
-<!--l. 75--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox78"><span
-class="cmtt-10">\shadedraw</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120005"></a>
- <!--l. 76--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[shade,draw]</span></span></span>. </dd></dl>
-<!--l. 79--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox79"><span
-class="cmtt-10">\clip</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120006"></a>
- <!--l. 80--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span>. </dd></dl>
-<!--l. 83--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox80"><span
-class="cmtt-10">\useasboundingbox</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120007"></a>
- <!--l. 84--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box]</span></span></span>. </dd></dl>
-<!--l. 87--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox81"><span
-class="cmtt-10">\node</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120008"></a>
- <!--l. 88--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;node</span></span></span>. Note that, for once, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> is not an
- option but a path operation. </dd></dl>
-<!--l. 92--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox82"><span
-class="cmtt-10">\coordinate</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120009"></a>
- <!--l. 93--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;coordinate</span></span></span>. </dd></dl>
-<!--l. 98--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.1 </span> <a
- id="x11-12100010.1"></a>Specifying a Color</h4>
-<!--l. 100--><p class="noindent">The most unspecific option for setting colors is the following:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">color</span><a
- id="dx11-121001"></a><a
- id="dx11-121002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color name</span><span
-class="cmsy-10">&gt;</span><a
- id="dx11-121003"></a><a
- id="dx11-121004"></a>This option sets the color that is used for fill, drawing, and text inside the current
- scope. Any special settings for filling colors or drawing colors are immediately &#8220;overruled&#8221; by this
- option.
- <!--l. 109--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color name</span><span
-class="cmsy-10">&gt; </span>is the name of a previously defined color. For <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;users, this is just a normal
- &#8220;<span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>-color&#8221; and the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> extensions are allows. Here is an example:
- <!--l. 113--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-158-" ><colgroup id="TBL-158-1g"><col
-id="TBL-158-1"><col
-id="TBL-158-2"></colgroup><tr
- valign="baseline" id="TBL-158-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-158-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-156.svg" width="12.4814 " height="12.4814 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-158-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[color=red!20]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 117--><p class="noindent">It is possible to &#8220;leave out&#8221; the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> part and you can also write:
-
-
- <!--l. 119--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-159-" ><colgroup id="TBL-159-1g"><col
-id="TBL-159-1"><col
-id="TBL-159-2"></colgroup><tr
- valign="baseline" id="TBL-159-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-159-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-157.svg" width="12.4814 " height="12.4814 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-159-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[red!20]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 122--><p class="noindent">What happens is that every option that Ti<span
-class="cmti-10">k</span>Z&nbsp;does not know, like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">red!20</span></span></span>, gets a &#8220;second chance&#8221; as a color
- name.
- <!--l. 125--><p class="noindent">For plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;users, it is not so easy to specify colors since plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;has no &#8220;standardized&#8221; color naming
- mechanism. Because of this, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;emulates the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> package, though the emulation is <span
-class="cmti-10">extremely basic </span>(more
- precisely, what I could hack together in two hours or so). The emulation allows you to do the
- following:
- <ul class="itemize2">
- <li class="itemize">Specify a new color using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\definecolor</span></span></span>. Only the two color models <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rgb</span></span></span> are supported.
- <!--l. 134--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\definecolor{orange}{rgb}{1,0.5,0}</span></span></span>
- </li>
- <li class="itemize">Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\colorlet</span></span></span> to define a new color based on an old one. Here, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span> mechanism is supported,
- though only &#8220;once&#8221; (use multiple <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\colorlet</span></span></span> for more fancy colors).
- <!--l. 138--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\colorlet{lightgray}{black!25}</span></span></span>
- </li>
- <li class="itemize">Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>to set the color in the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\aftergroup</span></span></span>-hackery is
- used to restore the color after the group.</li></ul>
- </li></ul>
-<!--l. 145--><p class="indent"> As pointed out above, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option applies to &#8220;everything&#8221; (except to shadings), which is not always what
-you want. Because of this, there are several more specialized color options. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw=</span></span></span> option sets the
-color used for drawing, but does not modify the color used for filling. These color options are documented where the
-path action they influence is described.
-<!--l. 153--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.2 </span> <a
- id="x11-12200010.2"></a>Drawing a Path</h4>
-<!--l. 155--><p class="noindent">You can draw a path using the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">draw</span><a
- id="dx11-122001"></a><a
- id="dx11-122002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span> Causes the path to be drawn. &#8220;Drawing&#8221; (also known as &#8220;stroking&#8221;) can be thought of
- as picking up a pen and moving it along the path, thereby leaving &#8220;ink&#8221; on the canvas.
- <!--l. 162--><p class="noindent">There are numerous parameters that influence how a line is drawn, like the thickness or the dash
- pattern. These options are explained below.
- <!--l. 166--><p class="noindent">If the optional <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>argument is given, drawing is done using the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>. This color can be
- different from the current filling color, which allows you to draw and fill a path with different colors.
- If no <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>argument is given, the last usage of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option is used.
- <!--l. 172--><p class="noindent">If the special color name <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">none</span></span></span> is given, this option causes drawing to be &#8220;switched off.&#8221; This is useful
- if a style has previously switched on drawing and you locally wish to undo this effect.
- <!--l. 177--><p class="noindent">Although this option is normally used on paths to indicate that the path should be drawn, it also
- makes sense to use the option with a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. However, this will <span
-class="cmti-10">not</span>
- cause all path to drawn. Instead, this just sets the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>to be used for drawing paths inside the
- environment.
- <!--l. 183--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-160-" ><colgroup id="TBL-160-1g"><col
-id="TBL-160-1"><col
-id="TBL-160-2"></colgroup><tr
- valign="baseline" id="TBL-160-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-160-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-158.svg" width="90.7403 " height="52.80345 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-160-1-2"
-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;\path[draw=red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(10pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 190--><p class="indent"> The following subsections list the different options that influence how a path is drawn. All of these options only
-have an effect if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> options is given (directly or indirectly).
-
-
-<!--l. 194--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.1 </span> <a
- id="x11-12300010.2.1"></a>Graphic Parameters: Line Width, Line Cap, and Line Join</h5>
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">line width</span><a
- id="dx11-123001"></a><a
- id="dx11-123002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the line width. Note the space. Default: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.4pt</span></span></span>.
- <!--l. 202--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-161-" ><colgroup id="TBL-161-1g"><col
-id="TBL-161-1"><col
-id="TBL-161-2"></colgroup><tr
- valign="baseline" id="TBL-161-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-161-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-159.svg" width="45.60349 " height="16.27768 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-161-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=5pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 207--><p class="noindent">There are a number of predefined styles that provide more &#8220;natural&#8221; ways of setting the line width. You can also
-redefine these styles. Remember that you can leave out the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=</span></span></span> when setting a style.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">ultra thin</span><a
- id="dx11-123003"></a><a
- id="dx11-123004"></a> Sets the line width to 0.1pt.
- <!--l. 215--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-162-" ><colgroup id="TBL-162-1g"><col
-id="TBL-162-1"><col
-id="TBL-162-2"></colgroup><tr
- valign="baseline" id="TBL-162-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-162-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-160.svg" width="39.07018 " height="9.74438 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-162-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[ultra</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very thin</span><a
- id="dx11-123005"></a><a
- id="dx11-123006"></a> Sets the line width to 0.2pt.
- <!--l. 221--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-163-" ><colgroup id="TBL-163-1g"><col
-id="TBL-163-1"><col
-id="TBL-163-2"></colgroup><tr
- valign="baseline" id="TBL-163-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-163-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-161.svg" width="39.20348 " height="9.87769 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-163-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">thin</span><a
- id="dx11-123007"></a><a
- id="dx11-123008"></a> Sets the line width to 0.4pt.
- <!--l. 227--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-164-" ><colgroup id="TBL-164-1g"><col
-id="TBL-164-1"><col
-id="TBL-164-2"></colgroup><tr
- valign="baseline" id="TBL-164-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-164-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-162.svg" width="39.47017 " height="10.14436 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-164-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[thin]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">semithick</span><a
- id="dx11-123009"></a><a
- id="dx11-123010"></a> Sets the line width to 0.6pt.
- <!--l. 233--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-165-" ><colgroup id="TBL-165-1g"><col
-id="TBL-165-1"><col
-id="TBL-165-2"></colgroup><tr
- valign="baseline" id="TBL-165-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-165-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-163.svg" width="39.73685 " height="10.41104 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-165-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[semithick]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">thick</span><a
- id="dx11-123011"></a><a
- id="dx11-123012"></a> Sets the line width to 0.8pt.
- <!--l. 239--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-166-" ><colgroup id="TBL-166-1g"><col
-id="TBL-166-1"><col
-id="TBL-166-2"></colgroup><tr
- valign="baseline" id="TBL-166-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-166-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-164.svg" width="40.00348 " height="10.67769 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-166-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[thick]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very thick</span><a
- id="dx11-123013"></a><a
- id="dx11-123014"></a> Sets the line width to 1.2pt.
- <!--l. 245--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-167-" ><colgroup id="TBL-167-1g"><col
-id="TBL-167-1"><col
-id="TBL-167-2"></colgroup><tr
- valign="baseline" id="TBL-167-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-167-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-165.svg" width="40.5368 " height="11.21101 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-167-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">ultra thick</span><a
- id="dx11-123015"></a><a
- id="dx11-123016"></a> Sets the line width to 1.6pt.
- <!--l. 251--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-168-" ><colgroup id="TBL-168-1g"><col
-id="TBL-168-1"><col
-id="TBL-168-2"></colgroup><tr
- valign="baseline" id="TBL-168-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-168-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-166.svg" width="41.07018 " height="11.74437 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-168-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[ultra</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-
-
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">cap</span><a
- id="dx11-123017"></a><a
- id="dx11-123018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">type</span><span
-class="cmsy-10">&gt; </span>Specifies how lines &#8220;end.&#8221; Permissible <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">type</span><span
-class="cmsy-10">&gt; </span>are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">round</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rect</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">butt</span></span></span> (default). They
- have the following effects:
- <!--l. 261--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-169-" ><colgroup id="TBL-169-1g"><col
-id="TBL-169-1"><col
-id="TBL-169-2"></colgroup><tr
- valign="baseline" id="TBL-169-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-169-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-167.svg" width="52.27013 " height="52.27013 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-169-1-2"
-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;\begin{scope}[line</span><span
-class="cmtt-8">&nbsp;width=10pt]</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;\draw[cap=rect]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0</span><span
-class="cmtt-8">&nbsp;)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</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;\draw[cap=butt]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\draw[cap=round]</span><span
-class="cmtt-8">&nbsp;(0,1</span><span
-class="cmtt-8">&nbsp;)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[white,line</span><span
-class="cmtt-8">&nbsp;width=1pt]</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;(0,0</span><span
-class="cmtt-8">&nbsp;)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;(0,.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,.5)</span><span
-class="cmtt-8">&nbsp;(0,1</span><span
-class="cmtt-8">&nbsp;)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">join</span><a
- id="dx11-123019"></a><a
- id="dx11-123020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">type</span><span
-class="cmsy-10">&gt; </span>Specifies how lines &#8220;join.&#8221; Permissible <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">type</span><span
-class="cmsy-10">&gt; </span>are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">round</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bevel</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">miter</span></span></span> (default). They have
- the following effects:
- <!--l. 277--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-170-" ><colgroup id="TBL-170-1g"><col
-id="TBL-170-1"><col
-id="TBL-170-2"></colgroup><tr
- valign="baseline" id="TBL-170-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-170-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-168.svg" width="147.11221 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-170-1-2"
-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=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[join=round]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[join=bevel]</span><span
-class="cmtt-8">&nbsp;(1.25,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[join=miter]</span><span
-class="cmtt-8">&nbsp;(2.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;bigger</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">miter limit</span><a
- id="dx11-123021"></a><a
- id="dx11-123022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>When you use the miter join and there is a very sharp corner (a small angle), the miter
- join may protrude very far over the actual joining point. In this case, if it were to protrude by more
- than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>times the line width, the miter join is replaced by a bevel join. Default value is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">10</span></span></span>.
- <!--l. 293--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-169.svg" width="535.44917 " height="45.60345 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-171-" ><colgroup id="TBL-171-1g"><col
-id="TBL-171-1"></colgroup><tr
- valign="baseline" id="TBL-171-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-171-1-1"
-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=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(5,.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-5,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[miter</span><span
-class="cmtt-8">&nbsp;limit=25]</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(5,.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-5,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(14,0);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;bigger</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 302--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.2 </span> <a
- id="x11-12400010.2.2"></a>Graphic Parameters: Dash Pattern</h5>
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">dash pattern</span><a
- id="dx11-124001"></a><a
- id="dx11-124002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dash pattern</span><span
-class="cmsy-10">&gt; </span>Sets the dashing pattern. The syntax is the same as in <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>. For
- example <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">on</span><span
-class="cmtt-10">&nbsp;2pt</span><span
-class="cmtt-10">&nbsp;off</span><span
-class="cmtt-10">&nbsp;3pt</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;4pt</span><span
-class="cmtt-10">&nbsp;off</span><span
-class="cmtt-10">&nbsp;4pt</span></span></span> means &#8220;draw 2pt, then leave out 3pt, then draw 4pt once
- more, then leave out 4pt again, repeat&#8221;.
- <!--l. 311--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-172-" ><colgroup id="TBL-172-1g"><col
-id="TBL-172-1"><col
-id="TBL-172-2"></colgroup><tr
- valign="baseline" id="TBL-172-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-172-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-170.svg" width="134.31233 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-172-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[dash</span><span
-class="cmtt-8">&nbsp;pattern=on</span><span
-class="cmtt-8">&nbsp;2pt</span><span
-class="cmtt-8">&nbsp;off</span><span
-class="cmtt-8">&nbsp;3pt</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;4pt</span><span
-class="cmtt-8">&nbsp;off</span><span
-class="cmtt-8">&nbsp;4pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3.5cm,0pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">dash phase</span><a
- id="dx11-124003"></a><a
- id="dx11-124004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dash phase</span><span
-class="cmsy-10">&gt; </span>Shifts the start of the dash pattern by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 320--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-173-" ><colgroup id="TBL-173-1g"><col
-id="TBL-173-1"><col
-id="TBL-173-2"></colgroup><tr
- valign="baseline" id="TBL-173-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-173-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-171.svg" width="134.31233 " height="5.5333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-173-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[dash</span><span
-class="cmtt-8">&nbsp;pattern=on</span><span
-class="cmtt-8">&nbsp;20pt</span><span
-class="cmtt-8">&nbsp;off</span><span
-class="cmtt-8">&nbsp;10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[dash</span><span
-class="cmtt-8">&nbsp;phase=0pt]</span><span
-class="cmtt-8">&nbsp;(0pt,3pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3.5cm,3pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[dash</span><span
-class="cmtt-8">&nbsp;phase=10pt]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3.5cm,0pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 328--><p class="noindent">As for the line thickness, some predefined styles allow you to set the dashing conveniently.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">solid</span><a
- id="dx11-124005"></a><a
- id="dx11-124006"></a> Shorthand for setting a solid line as &#8220;dash pattern.&#8221; This is the default.
- <!--l. 335--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-174-" ><colgroup id="TBL-174-1g"><col
-id="TBL-174-1"><col
-id="TBL-174-2"></colgroup><tr
- valign="baseline" id="TBL-174-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-174-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-172.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-174-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[solid]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">dotted</span><a
- id="dx11-124007"></a><a
- id="dx11-124008"></a> Shorthand for setting a dotted dash pattern.
- <!--l. 342--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-175-" ><colgroup id="TBL-175-1g"><col
-id="TBL-175-1"><col
-id="TBL-175-2"></colgroup><tr
- valign="baseline" id="TBL-175-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-175-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-173.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-175-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[dotted]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">densely dotted</span><a
- id="dx11-124009"></a><a
- id="dx11-124010"></a> Shorthand for setting a densely dotted dash pattern.
- <!--l. 349--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-176-" ><colgroup id="TBL-176-1g"><col
-id="TBL-176-1"><col
-id="TBL-176-2"></colgroup><tr
- valign="baseline" id="TBL-176-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-176-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-174.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-176-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[densely</span><span
-class="cmtt-8">&nbsp;dotted]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">loosely dotted</span><a
- id="dx11-124011"></a><a
- id="dx11-124012"></a> Shorthand for setting a loosely dotted dash pattern.
- <!--l. 356--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-177-" ><colgroup id="TBL-177-1g"><col
-id="TBL-177-1"><col
-id="TBL-177-2"></colgroup><tr
- valign="baseline" id="TBL-177-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-177-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-175.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-177-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[loosely</span><span
-class="cmtt-8">&nbsp;dotted]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">dashed</span><a
- id="dx11-124013"></a><a
- id="dx11-124014"></a> Shorthand for setting a dashed dash pattern.
- <!--l. 363--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-178-" ><colgroup id="TBL-178-1g"><col
-id="TBL-178-1"><col
-id="TBL-178-2"></colgroup><tr
- valign="baseline" id="TBL-178-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-178-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-176.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-178-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[dashed]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">densely dashed</span><a
- id="dx11-124015"></a><a
- id="dx11-124016"></a> Shorthand for setting a densely dashed dash pattern.
- <!--l. 370--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-179-" ><colgroup id="TBL-179-1g"><col
-id="TBL-179-1"><col
-id="TBL-179-2"></colgroup><tr
- valign="baseline" id="TBL-179-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-179-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-177.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-179-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[densely</span><span
-class="cmtt-8">&nbsp;dashed]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">loosely dashed</span><a
- id="dx11-124017"></a><a
- id="dx11-124018"></a> Shorthand for setting a loosely dashed dash pattern.
- <!--l. 377--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-180-" ><colgroup id="TBL-180-1g"><col
-id="TBL-180-1"><col
-id="TBL-180-2"></colgroup><tr
- valign="baseline" id="TBL-180-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-180-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-178.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-180-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[loosely</span><span
-class="cmtt-8">&nbsp;dashed]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-
-
-<!--l. 383--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.3 </span> <a
- id="x11-12500010.2.3"></a>Graphic Parameters: Draw Opacity</h5>
-<!--l. 385--><p class="noindent">When a line is drawn, it will normally &#8220;obscure&#8221; everything behind it as if you has used perfectly opaque ink. It is
-also possible to ask Ti<span
-class="cmti-10">k</span>Z&nbsp;to use an ink that is a little bit (or a big bit) transparent. To do so, use the following
-option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">draw opacity</span><a
- id="dx11-125001"></a><a
- id="dx11-125002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>This option sets &#8220;how transparent&#8221; lines should be. A value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span> means &#8220;fully
- opaque&#8221; or &#8220;not transparent at all,&#8221; a value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> means &#8220;fully transparent&#8221; or &#8220;invisible.&#8221; A value of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> yields lines that are semitransparent.
- <!--l. 397--><p class="noindent">Note that when you use PostScript as your output format, this option works only with recent versions
- of GhostScript.
- <!--l. 400--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-181-" ><colgroup id="TBL-181-1g"><col
-id="TBL-181-1"><col
-id="TBL-181-2"></colgroup><tr
- valign="baseline" id="TBL-181-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-181-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-179.svg" width="120.55124 " height="44.67754 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-181-1-2"
-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=1ex]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;[fill=examplefill,draw</span><span
-class="cmtt-8">&nbsp;opacity=0.5]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 408--><p class="indent"> Note that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span><span
-class="cmtt-10">&nbsp;opacity</span></span></span> options only sets the opacity of drawn lines. The opacity of fillings is set using
-the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span><span
-class="cmtt-10">&nbsp;opacity</span></span></span> (documented in Section&nbsp;<a
-href="#x11-13000010.3.2">10.3.2<!--tex4ht:ref: section-fill-opacity --></a>. The option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">opacity</span></span></span> sets both at the same
-time.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">opacity</span><a
- id="dx11-125003"></a><a
- id="dx11-125004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>Sets both the drawing and filling opacity to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 417--><p class="noindent">The following predefined styles make it easier to use this option:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">transparent</span><a
- id="dx11-125005"></a><a
- id="dx11-125006"></a> Makes everything totally transparent and, hence, invisible.
- <!--l. 422--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-182-" ><colgroup id="TBL-182-1g"><col
-id="TBL-182-1"><col
-id="TBL-182-2"></colgroup><tr
- valign="baseline" id="TBL-182-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-182-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-180.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-182-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[transparent,red]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">ultra nearly transparent</span><a
- id="dx11-125007"></a><a
- id="dx11-125008"></a> Makes everything, well, ultra nearly transparent.
- <!--l. 429--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-183-" ><colgroup id="TBL-183-1g"><col
-id="TBL-183-1"><col
-id="TBL-183-2"></colgroup><tr
- valign="baseline" id="TBL-183-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-183-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-181.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-183-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[ultra</span><span
-class="cmtt-8">&nbsp;nearly</span><span
-class="cmtt-8">&nbsp;transparent]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very nearly transparent</span><a
- id="dx11-125009"></a><a
- id="dx11-125010"></a>
- <!--l. 434--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-184-" ><colgroup id="TBL-184-1g"><col
-id="TBL-184-1"><col
-id="TBL-184-2"></colgroup><tr
- valign="baseline" id="TBL-184-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-184-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-182.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-184-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[very</span><span
-class="cmtt-8">&nbsp;nearly</span><span
-class="cmtt-8">&nbsp;transparent]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">nearly transparent</span><a
- id="dx11-125011"></a><a
- id="dx11-125012"></a>
- <!--l. 439--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-185-" ><colgroup id="TBL-185-1g"><col
-id="TBL-185-1"><col
-id="TBL-185-2"></colgroup><tr
- valign="baseline" id="TBL-185-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-185-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-183.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-185-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[nearly</span><span
-class="cmtt-8">&nbsp;transparent]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">semitransparent</span><a
- id="dx11-125013"></a><a
- id="dx11-125014"></a>
- <!--l. 444--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-186-" ><colgroup id="TBL-186-1g"><col
-id="TBL-186-1"><col
-id="TBL-186-2"></colgroup><tr
- valign="baseline" id="TBL-186-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-186-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-184.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-186-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[semitransparent]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">nearly opaque</span><a
- id="dx11-125015"></a><a
- id="dx11-125016"></a>
- <!--l. 449--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-187-" ><colgroup id="TBL-187-1g"><col
-id="TBL-187-1"><col
-id="TBL-187-2"></colgroup><tr
- valign="baseline" id="TBL-187-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-187-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-185.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-187-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[nearly</span><span
-class="cmtt-8">&nbsp;opaque]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very nearly opaque</span><a
- id="dx11-125017"></a><a
- id="dx11-125018"></a>
- <!--l. 454--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-188-" ><colgroup id="TBL-188-1g"><col
-id="TBL-188-1"><col
-id="TBL-188-2"></colgroup><tr
- valign="baseline" id="TBL-188-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-188-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-186.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-188-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[very</span><span
-class="cmtt-8">&nbsp;nearly</span><span
-class="cmtt-8">&nbsp;opaque]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">ultra nearly opaque</span><a
- id="dx11-125019"></a><a
- id="dx11-125020"></a>
- <!--l. 459--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-189-" ><colgroup id="TBL-189-1g"><col
-id="TBL-189-1"><col
-id="TBL-189-2"></colgroup><tr
- valign="baseline" id="TBL-189-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-189-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-187.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-189-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[ultra</span><span
-class="cmtt-8">&nbsp;nearly</span><span
-class="cmtt-8">&nbsp;opaque]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">opaque</span><a
- id="dx11-125021"></a><a
- id="dx11-125022"></a> This yields completely opaque drawings, which is the default.
- <!--l. 465--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-190-" ><colgroup id="TBL-190-1g"><col
-id="TBL-190-1"><col
-id="TBL-190-2"></colgroup><tr
- valign="baseline" id="TBL-190-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-190-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-188.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-190-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\fill[opaque]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </li></ul>
-<!--l. 475--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.4 </span> <a
- id="x11-12600010.2.4"></a>Graphic Parameters: Arrow Tips</h5>
-<!--l. 477--><p class="noindent">When you draw a line, you can add arrow tips at the ends. It is only possible to add one arrow tip at the start and
-one at the end. If the path consists of several segments, only the last segment gets arrow tips. The behavior for
-paths that are closed is not specified and may change in the future.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">arrows</span><a
- id="dx11-126001"></a><a
- id="dx11-126002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start arrow 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 arrow kind</span><span
-class="cmsy-10">&gt;</span> This option sets the start and end arrow tips (an empty
- value as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-&gt;</span></span></span> indicates that no arrow tip should be drawn at the start).<a
- id="dx11-126003"></a><a
- id="dx11-126004"></a>
- <!--l. 490--><p class="noindent"><span
-class="cmti-10">Note: Since the arrow option is so often used, you can leave out the text </span><span class="obeylines-h"><span class="verb"><span
-class="cmitt-10">arrows=</span></span></span><span
-class="cmti-10">. </span>What happens is
- that every option that contains a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-</span></span></span> is interpreted as an arrow specification.
- <!--l. 493--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-191-" ><colgroup id="TBL-191-1g"><col
-id="TBL-191-1"><col
-id="TBL-191-2"></colgroup><tr
- valign="baseline" id="TBL-191-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-191-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-189.svg" width="39.47017 " height="12.91447 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-191-1-2"
-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[-&gt;]</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;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[o-stealth]</span><span
-class="cmtt-8">&nbsp;(0,0.3)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0.3);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 500--><p class="noindent">The permissible values are all predefined arrow tips, though you can also define new arrow tip kinds as
- explained in Section&nbsp;<a
-href="pgfmanualse24.html#x25-25200024">24<!--tex4ht:ref: section-arrows --></a>. This is often necessary to obtain &#8220;double&#8221; arrow tips and arrow tips that have a fixed
- size. Since <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryarrows</span></span></span> is loaded by default, all arrow tips described in Section&nbsp;<a
-href="pgfmanualse14.html#x15-16000014.1">14.1<!--tex4ht:ref: section-library-arrows --></a> are
- available.
-
-
- <!--l. 507--><p class="noindent">One arrow tip kind is special: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> (and all arrow tip kinds containing the arrow tip kind such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;&lt;</span></span></span>
- or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;|</span></span></span>). This arrow tip type is not fixed. Rather, you can redefine it using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=</span></span></span> option, see
- below.
- <!--l. 512--><p class="noindent"><span
-class="cmti-10">Example: </span>You can also combine arrow tip types as in
- <!--l. 513--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-192-" ><colgroup id="TBL-192-1g"><col
-id="TBL-192-1"><col
-id="TBL-192-2"></colgroup><tr
- valign="baseline" id="TBL-192-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-192-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-190.svg" width="138.10619 " height="46.52466 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-192-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[to</span><span
-class="cmtt-8">&nbsp;reversed-to]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(.5,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-.5,-.5)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;+(1.5,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[[-latex</span><span
-class="cmtt-8">&nbsp;reversed]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(.5,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-.5,-.5)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;+(1.5,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[latex-)]</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(.5,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-.5,-.5)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;+(1.5,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-.1,-.1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.1,1.1);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;bigger</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">&gt;</span><a
- id="dx11-126005"></a><a
- id="dx11-126006"></a><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 arrow kind</span><span
-class="cmsy-10">&gt; </span>This option can be used to redefine the &#8220;standard&#8221; arrow tip <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span>. The idea is that different
- people have different ideas what arrow tip kind should normally be used. I prefer the arrow tip of <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 (which is used in things like <span
-class="cmmi-10">f</span> : <span
-class="cmmi-10">A </span><span
-class="cmsy-10"><img
-src="cmsy10-21.png" alt="--&gt;" class="10x-x-21" /> </span><span
-class="cmmi-10">B</span>). Other people will prefer <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s standard arrow tip,
- which looks like this: <object data="pgfmanual-191.svg" width="14.8666 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. Since the arrow tip kind <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> is certainly the most &#8220;natural&#8221; one to use, it is kept free
- of any predefined meaning. Instead, you can change it by saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=to</span></span></span> to set the &#8220;standard&#8221; arrow tip kind to
- <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s arrow tip, whereas <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=latex</span></span></span> will set it to <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s arrow tip and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=stealth</span></span></span> will use a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>-like
- arrow tip.
- <!--l. 535--><p class="noindent">Apart from redefining the arrow tip kind <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> (and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;</span></span></span> for the start), this option also redefines the following arrow
- tip kinds: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;</span></span></span> as the swapped version of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end arrow kind</span><span
-class="cmsy-10">&gt;</span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;&lt;</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;&gt;</span></span></span> as doubled versions,
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;&gt;</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;&lt;</span></span></span> as swapped doubled versions, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|&lt;</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;|</span></span></span> as arrow tips ending with a vertical
- bar.
- <!--l. 541--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-193-" ><colgroup id="TBL-193-1g"><col
-id="TBL-193-1"><col
-id="TBL-193-2"></colgroup><tr
- valign="baseline" id="TBL-193-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-193-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-192.svg" width="77.40701 " height="70.42172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-193-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=2]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[&gt;=latex]</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;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0pt,6ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,6ex);</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;\draw[&gt;-&gt;&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0pt,5ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,5ex);</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;\draw[|&lt;-&gt;|]</span><span
-class="cmtt-8">&nbsp;(0pt,4ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,4ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[&gt;=diamond]</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;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0pt,2ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,2ex);</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;\draw[&gt;-&gt;&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0pt,1ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1ex);</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;\draw[|&lt;-&gt;|]</span><span
-class="cmtt-8">&nbsp;(0pt,0ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,0ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">shorten &gt;</span><a
- id="dx11-126007"></a><a
- id="dx11-126008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option will shorten the end of lines by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. If you specify an
- arrow tip, lines are already shortened a bit such that the arrow tip touches the specified endpoint and does not
- &#8220;protrude over&#8221; this point. Here is an example:
- <!--l. 562--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-194-" ><colgroup id="TBL-194-1g"><col
-id="TBL-194-1"><col
-id="TBL-194-2"></colgroup><tr
- valign="baseline" id="TBL-194-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-194-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-193.svg" width="133.77895 " height="114.81052 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-194-1-2"
-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=20pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.5,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</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;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray,-&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 570--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shorten</span><span
-class="cmtt-10">&nbsp;&gt;</span></span></span> option allows you to shorten the end on the line <span
-class="cmti-10">additionally </span>by the given distance. This
- option can also be useful if you have not specified an arrow tip at all.
- <!--l. 574--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-195-" ><colgroup id="TBL-195-1g"><col
-id="TBL-195-1"><col
-id="TBL-195-2"></colgroup><tr
- valign="baseline" id="TBL-195-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-195-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-194.svg" width="133.77895 " height="114.81052 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-195-1-2"
-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=20pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.5,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-to,shorten</span><span
-class="cmtt-8">&nbsp;&gt;=10pt,gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">shorten &lt;</span><a
- id="dx11-126009"></a><a
- id="dx11-126010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shorten</span><span
-class="cmtt-10">&nbsp;&gt;</span></span></span>, but for the start.</li></ul>
-<!--l. 588--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.5 </span> <a
- id="x11-12700010.2.5"></a>Graphic Parameters: Double Lines and Bordered Lines</h5>
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">double</span><a
- id="dx11-127001"></a><a
- id="dx11-127002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">core color</span><span
-class="cmsy-10">&gt;</span> This option causes &#8220;two&#8221; lines to be drawn instead of a single one. However, this
- is not what really happens. In reality, the path is drawn twice. First, with the normal drawing color,
- secondly with the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">core color</span><span
-class="cmsy-10">&gt;</span>, which is normally <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">white</span></span></span>. Upon the second drawing, the line width is
- reduced. The net effect is that it appears as if two lines had been drawn and this works well even with
- complicated, curved paths:
- <!--l. 600--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-196-" ><colgroup id="TBL-196-1g"><col
-id="TBL-196-1"><col
-id="TBL-196-2"></colgroup><tr
- valign="baseline" id="TBL-196-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-196-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-195.svg" width="51.3308 " height="40.8035 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-196-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[double]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[smooth</span><span
-class="cmtt-8">&nbsp;cycle]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;(0,1)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 605--><p class="noindent">You can also use the doubling option to create an effect in which a line seems to have a certain
- &#8220;border&#8221;:
- <!--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-197-" ><colgroup id="TBL-197-1g"><col
-id="TBL-197-1"><col
-id="TBL-197-2"></colgroup><tr
- valign="baseline" id="TBL-197-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-197-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-196.svg" width="42.93683 " height="42.93683 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-197-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[draw=white,double=red,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">double distance</span><a
- id="dx11-127003"></a><a
- id="dx11-127004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the distance the &#8220;two&#8221; lines are spaced apart (default is 0.6pt). In reality,
- this is the thickness of the line that is used to draw the path for the second time. The thickness of the <span
-class="cmti-10">first</span>
- time the path is drawn is twice the normal line width plus the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. As a side-effect, this option
- &#8220;selects&#8221; the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">double</span></span></span> option.
- <!--l. 623--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-198-" ><colgroup id="TBL-198-1g"><col
-id="TBL-198-1"><col
-id="TBL-198-2"></colgroup><tr
- valign="baseline" id="TBL-198-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-198-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-197.svg" width="118.67717 " height="44.80348 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-198-1-2"
-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[very</span><span
-class="cmtt-8">&nbsp;thick,double]</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:90:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,double</span><span
-class="cmtt-8">&nbsp;distance=2pt]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:90:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thin,double</span><span
-class="cmtt-8">&nbsp;distance=2pt]</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;(2,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:90:1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-
-
-<!--l. 638--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.3 </span> <a
- id="x11-12800010.3"></a>Filling a Path</h4>
-<!--l. 640--><p class="noindent">To fill a path, use the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">fill</span><a
- id="dx11-128001"></a><a
- id="dx11-128002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span> This option causes the path to be filled. All unclosed parts of the path are first closed,
- if necessary. Then, the area enclosed by the path is filled with the current filling color, which is either
- the last color set using the general <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option or the optional color <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>. For self-intersection
- paths and for paths consisting of several closed areas, the &#8220;enclosed area&#8221; is somewhat complicated to
- define and two different definitions exist, namely the nonzero winding number rule and the even odd
- rule, see the explanation of these options, below.
- <!--l. 653--><p class="noindent">Just as for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option, setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">none</span></span></span> disables filling locally.
- <!--l. 656--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-198.svg" width="399.33687 " height="57.90526 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-199-" ><colgroup id="TBL-199-1g"><col
-id="TBL-199-1"></colgroup><tr
- valign="baseline" id="TBL-199-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-199-1-1"
-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;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(4.5,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[even</span><span
-class="cmtt-8">&nbsp;odd</span><span
-class="cmtt-8">&nbsp;rule]</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(6.5,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(8,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(9,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 665--><p class="noindent">If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> option is used together with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option (either because both are given as options or because a
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> command is used), the path is filled <span
-class="cmti-10">first</span>, then the path is drawn <span
-class="cmti-10">second</span>. This is especially useful if
- different colors are selected for drawing and for filling. Even if the same color is used, there is a difference
- between this command and a plain <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span>: A &#8220;filldrawn&#8221; area will be slightly larger than a filled area because of
- the thickness of the &#8220;pen.&#8221;
- <!--l. 674--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-199.svg" width="406.00351 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-200-" ><colgroup id="TBL-200-1g"><col
-id="TBL-200-1"></colgroup><tr
- valign="baseline" id="TBL-200-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-200-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[fill=examplefill,line</span><span
-class="cmtt-8">&nbsp;width=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(4.5,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[even</span><span
-class="cmtt-8">&nbsp;odd</span><span
-class="cmtt-8">&nbsp;rule]</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(6.5,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;(8,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(9,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 685--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.3.1 </span> <a
- id="x11-12900010.3.1"></a>Graphic Parameters: Interior Rules</h5>
-<!--l. 687--><p class="noindent">The following two options can be used to decide how interior points should be determined:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">nonzero rule</span><a
- id="dx11-129001"></a><a
- id="dx11-129002"></a> If this rule is used (which is the default), the following method is used to determine
- whether a given point is &#8220;inside&#8221; the path: From the point, shoot a ray in some direction towards
- infinity (the direction is chosen such that no strange borderline cases occur). Then the ray may hit
- the path. Whenever it hits the path, we increase or decrease a counter, which is initially zero. If the
- ray hits the path as the path goes &#8220;from left to right&#8221; (relative to the ray), the counter is increased,
- otherwise it is decreased. Then, at the end, we check whether the counter is nonzero (hence the name).
- If so, the point is deemed to lie &#8220;inside,&#8221; otherwise it is &#8220;outside.&#8221; Sounds complicated? It is.
-
-
- <!--l. 703--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-201-" ><colgroup id="TBL-201-1g"><col
-id="TBL-201-1"><col
-id="TBL-201-2"></colgroup><tr
- valign="baseline" id="TBL-201-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-201-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-200.svg" width="139.77603 " height="192.63437 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-201-1-2"
-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;\filldraw[fill=examplefill]</span>
-<br><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;Clockwise</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</span>
-<br><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;Counter-clockwise</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0.25,0.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.75,0.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.75,0.75)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.25,0.75)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;(.4,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.75,0.75)</span><span
-class="cmtt-8">&nbsp;(0.3,.75);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{crossings:</span><span
-class="cmtt-8">&nbsp;$-1+1</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;0$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[yshift=-3cm]</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;\filldraw[fill=examplefill]</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Clockwise</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Clockwise</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</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;(0.25,0.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.25,0.75)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.75,0.75)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.75,0.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;(.4,1);</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;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.25,0.75)</span><span
-class="cmtt-8">&nbsp;(0.4,.75);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{crossings:</span><span
-class="cmtt-8">&nbsp;$1+1</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;2$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">even odd rule</span><a
- id="dx11-129003"></a><a
- id="dx11-129004"></a> This option causes a different method to be used for determining the inside and outside of
- paths. While it is less flexible, it turns out to be more intuitive.
- <!--l. 736--><p class="noindent">With this method, we also shoot rays from the point for which we wish to determine whether it is inside or
- outside the filling area. However, this time we only count how often we &#8220;hit&#8221; the path and declare the point to
- be &#8220;inside&#8221; if the number of hits is odd.
- <!--l. 741--><p class="noindent">Using the even-odd rule, it is easy to &#8220;drill holes&#8221; into a path.
- <!--l. 743--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-202-" ><colgroup id="TBL-202-1g"><col
-id="TBL-202-1"><col
-id="TBL-202-2"></colgroup><tr
- valign="baseline" id="TBL-202-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-202-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-201.svg" width="123.47992 " height="78.82379 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-202-1-2"
-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;\filldraw[fill=examplefill,even</span><span
-class="cmtt-8">&nbsp;odd</span><span
-class="cmtt-8">&nbsp;rule]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.4cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;[above]</span><span
-class="cmtt-8">&nbsp;node{crossings:</span><span
-class="cmtt-8">&nbsp;$1+1</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;2$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 754--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.3.2 </span> <a
- id="x11-13000010.3.2"></a>Graphic Parameters: Fill Opacity</h5>
-<!--l. 757--><p class="noindent">Analogously to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span><span
-class="cmtt-10">&nbsp;opacity</span></span></span>, you can also set the filling opacity:
-
-
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">fill opacity</span><a
- id="dx11-130001"></a><a
- id="dx11-130002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>This option sets the opacity of fillings. In addition to filling operations, this
- opacity also applies to text and images.
- <!--l. 765--><p class="noindent">Note, again, that when you use PostScript as your output format, this option works only with recent
- versions of GhostScript.
- <!--l. 768--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-203-" ><colgroup id="TBL-203-1g"><col
-id="TBL-203-1"><col
-id="TBL-203-2"></colgroup><tr
- valign="baseline" id="TBL-203-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-203-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-202.svg" width="150.02034 " height="158.82378 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-203-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick,fill</span><span
-class="cmtt-8">&nbsp;opacity=0.5]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(12mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green]</span><span
-class="cmtt-8">&nbsp;(120:1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(12mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(-120:1cm)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(12mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 776--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-204-" ><colgroup id="TBL-204-1g"><col
-id="TBL-204-1"><col
-id="TBL-204-2"></colgroup><tr
- valign="baseline" id="TBL-204-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-204-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-203.svg" width="142.33182 " height="104.65405 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-204-1-2"
-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;\fill[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</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;</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;</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;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{\huge</span><span
-class="cmtt-8">&nbsp;A};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[fill</span><span
-class="cmtt-8">&nbsp;opacity=0.5]</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(3,2)</span><span
-class="cmtt-8">&nbsp;{\huge</span><span
-class="cmtt-8">&nbsp;B};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 787--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.4 </span> <a
- id="x11-13100010.4"></a>Shading a Path</h4>
-<!--l. 789--><p class="noindent">You can shade a path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option. A shading is like a filling, only the shading changes its color smoothly
-from one color to another.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">shade</span><a
- id="dx11-131001"></a><a
- id="dx11-131002"></a> Causes the path to be shaded using the currently selected shading (more on this later). If this
- option is used together with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option, then the path is first shaded, then drawn.
- <!--l. 799--><p class="noindent">It is not an error to use this option together with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> option, but it makes no sense.
- <!--l. 802--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-205-" ><colgroup id="TBL-205-1g"><col
-id="TBL-205-1"><col
-id="TBL-205-2"></colgroup><tr
- valign="baseline" id="TBL-205-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-205-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-204.svg" width="12.4814 " height="12.4814 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-205-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shade</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 806--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-206-" ><colgroup id="TBL-206-1g"><col
-id="TBL-206-1"><col
-id="TBL-206-2"></colgroup><tr
- valign="baseline" id="TBL-206-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-206-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-205.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-206-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 811--><p class="indent"> For some shadings it is not really clear how they can &#8220;fill&#8221; the path. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span></span></span> shading normally
-looks like this: <object data="pgfmanual-206.svg" width="9.61104 " height="9.61104 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. How is this supposed to shade a rectangle? Or a triangle?
-
-
-<!--l. 816--><p class="indent"> To solve this problem, the predefined shadings like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">axis</span></span></span> fill a large rectangle completely in a sensible
-way. Then, when the shading is used to &#8220;shade&#8221; a path, what actually happens is that the path is temporarily used
-for clipping and then the rectangular shading is drawn, scaled and shifted such that all parts of the path are
-filled.
-<!--l. 824--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.4.1 </span> <a
- id="x11-13200010.4.1"></a>Choosing a Shading Type</h5>
-<!--l. 826--><p class="noindent">The default shading is a smooth transition from gray to white and from above to bottom. However, other shadings
-are also possible, for example a shading that will sweep a color from the center to the corners outward. To choose
-the shading, you can use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=</span></span></span> option, which will also automatically invoke the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option. Note that this
-does <span
-class="cmti-10">not </span>change the shading color, only the way the colors sweep. For changing the colors, other options are needed,
-which are explained below.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">shading</span><a
- id="dx11-132001"></a><a
- id="dx11-132002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>This selects a shading named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>. The following shadings are predefined:
- <ul class="itemize2">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">axis</span></span></span> This is the default shading in which the color changes gradually between three horizontal
- lines. The top line is at the top (uppermost) point of the path, the middle is in the middle, the
- bottom line is at the bottom of the path.
- <!--l. 846--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-207-" ><colgroup id="TBL-207-1g"><col
-id="TBL-207-1"><col
-id="TBL-207-2"></colgroup><tr
- valign="baseline" id="TBL-207-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-207-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-207.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-207-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=axis]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 850--><p class="noindent">The default top color is gray, the default bottom color is white, the default middle is the &#8220;middle&#8221; of
- these two.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">radial</span></span></span> This shading fills the path with a gradual sweep from a certain color in the middle to another
- color at the border. If the path is a circle, the outer color will be reached exactly at the border. If the
- shading is not a circle, the outer color will continue a bit towards the corners. The default inner color is
- gray, the default outer color is white.
- <!--l. 860--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-208-" ><colgroup id="TBL-208-1g"><col
-id="TBL-208-1"><col
-id="TBL-208-2"></colgroup><tr
- valign="baseline" id="TBL-208-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-208-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-208.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-208-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=radial]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span></span></span> This shading fills the path with a shading that &#8220;looks like a ball.&#8221; The default &#8220;color&#8221; of the ball is
- blue (for no particular reason).
- <!--l. 868--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-209-" ><colgroup id="TBL-209-1g"><col
-id="TBL-209-1"><col
-id="TBL-209-2"></colgroup><tr
- valign="baseline" id="TBL-209-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-209-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-209.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-209-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=ball]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 872--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-210-" ><colgroup id="TBL-210-1g"><col
-id="TBL-210-1"><col
-id="TBL-210-2"></colgroup><tr
- valign="baseline" id="TBL-210-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-210-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-210.svg" width="39.47014 " height="39.47014 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-210-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=ball]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </li>
- <li class="itemize"><span
-class="cmtt-10">shading angle</span><a
- id="dx11-132003"></a><a
- id="dx11-132004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degrees</span><span
-class="cmsy-10">&gt; </span>This option rotates the shading (not the path!) by the given angle. For
- example, we can turn a top-to-bottom axis shading into a left-to-right shading by rotating it by
- 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- <!--l. 881--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-211-" ><colgroup id="TBL-211-1g"><col
-id="TBL-211-1"><col
-id="TBL-211-2"></colgroup><tr
- valign="baseline" id="TBL-211-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-211-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-211.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-211-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=axis,shading</span><span
-class="cmtt-8">&nbsp;angle=90]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li></ul>
-<!--l. 887--><p class="indent"> You can also define new shading types yourself. However, for this, you need to use the basic layer directly, which
-is, well, more basic and harder to use. Details on how to create a shading appropriate for filling paths are given in
-Section&nbsp;<a
-href="pgfmanualse28.html#x29-28900028.3">28.3<!--tex4ht:ref: section-shading-a-path --></a>.
-<!--l. 894--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.4.2 </span> <a
- id="x11-13300010.4.2"></a>Choosing a Shading Color</h5>
-<!--l. 896--><p class="noindent">The following options can be used to change the colors used for shadings. When one of these options is given, the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option is automatically selected and also the &#8220;right&#8221; shading.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">top color</span><a
- id="dx11-133001"></a><a
- id="dx11-133002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option prescribes the color to be used at the top in an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">axis</span></span></span> shading. When this
- option is given, several things happen:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x11-133004x1"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option is selected.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x11-133006x2"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=axis</span></span></span> option is selected.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x11-133008x3"></a>The middle color of the axis shading is set to the average of the given top color <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>and of
- whatever color is currently selected for the bottom.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x11-133010x4"></a>The rotation angle of the shading is set to 0.</li></ol>
- <!--l. 917--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-212-" ><colgroup id="TBL-212-1g"><col
-id="TBL-212-1"><col
-id="TBL-212-2"></colgroup><tr
- valign="baseline" id="TBL-212-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-212-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-212.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-212-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[top</span><span
-class="cmtt-8">&nbsp;color=red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">bottom color</span><a
- id="dx11-133011"></a><a
- id="dx11-133012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">top</span><span
-class="cmtt-10">&nbsp;color</span></span></span>, only for the bottom color.
- </li>
- <li class="itemize"><span
-class="cmtt-10">middle color</span><a
- id="dx11-133013"></a><a
- id="dx11-133014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option specifies the color for the middle of an axis shading. It also sets the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span>
- and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=axis</span></span></span> options, but it does not change the rotation angle.
- <!--l. 929--><p class="noindent"><span
-class="cmti-10">Note: </span>Since both <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">top</span><span
-class="cmtt-10">&nbsp;color</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bottom</span><span
-class="cmtt-10">&nbsp;color</span></span></span> change the middle color, this option should be given <span
-class="cmti-10">last </span>if all
- of these options need to be given:
- <!--l. 933--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-213-" ><colgroup id="TBL-213-1g"><col
-id="TBL-213-1"><col
-id="TBL-213-2"></colgroup><tr
- valign="baseline" id="TBL-213-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-213-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-213.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-213-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[top</span><span
-class="cmtt-8">&nbsp;color=white,bottom</span><span
-class="cmtt-8">&nbsp;color=black,middle</span><span
-class="cmtt-8">&nbsp;color=red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">left color</span><a
- id="dx11-133015"></a><a
- id="dx11-133016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option does exactly the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">top</span><span
-class="cmtt-10">&nbsp;color</span></span></span>, except that the shading angle is set to
- 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">right color</span><a
- id="dx11-133017"></a><a
- id="dx11-133018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">left</span><span
-class="cmtt-10">&nbsp;color</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner color</span><a
- id="dx11-133019"></a><a
- id="dx11-133020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option sets the color used at the center of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">radial</span></span></span> shading. When this option is
- used, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=radial</span></span></span> options are set.
- <!--l. 950--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-214-" ><colgroup id="TBL-214-1g"><col
-id="TBL-214-1"><col
-id="TBL-214-2"></colgroup><tr
- valign="baseline" id="TBL-214-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-214-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-214.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-214-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[inner</span><span
-class="cmtt-8">&nbsp;color=red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer color</span><a
- id="dx11-133021"></a><a
- id="dx11-133022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option sets the color used at the border and outside of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">radial</span></span></span>
- shading.
- <!--l. 958--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-215-" ><colgroup id="TBL-215-1g"><col
-id="TBL-215-1"><col
-id="TBL-215-2"></colgroup><tr
- valign="baseline" id="TBL-215-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-215-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-215.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-215-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[outer</span><span
-class="cmtt-8">&nbsp;color=red,inner</span><span
-class="cmtt-8">&nbsp;color=white]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">ball color</span><a
- id="dx11-133023"></a><a
- id="dx11-133024"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option sets the color used for the ball shading. It sets the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=ball</span></span></span>
- options. Note that the ball will never &#8220;completely&#8221; have the color <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>. At its &#8220;highlight&#8221; spot a certain
- amount of white is mixed in, at the border a certain amount of black. Because of this, it also makes sense to
- say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span><span
-class="cmtt-10">&nbsp;color=white</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span><span
-class="cmtt-10">&nbsp;color=black</span></span></span>
- <!--l. 971--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-216-" ><colgroup id="TBL-216-1g"><col
-id="TBL-216-1"><col
-id="TBL-216-2"></colgroup><tr
- valign="baseline" id="TBL-216-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-216-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-216.svg" width="99.83649 " height="23.9628 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-216-1-2"
-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;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=white]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=black]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2ex);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 983--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.5 </span> <a
- id="x11-13400010.5"></a>Establishing a Bounding Box</h4>
-<!--l. 985--><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;is reasonably good at keeping track of the size of your picture and reserving just the right amount of
-space for it in the main document. However, in some cases you may want to say things like &#8220;do not
-count this for the picture size&#8221; or &#8220;the picture is actually a little large.&#8221; For this you can use the
-option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box</span></span></span> or the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\useasboundingbox</span></span></span>, which is just a shorthand for
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box]</span></span></span>.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">use as bounding box</span><a
- id="dx11-134001"></a><a
- id="dx11-134002"></a> Normally, when this option is given on a path, the bounding box of the present
- path is used to determine the size of the picture and the size of all <span
-class="cmti-10">subsequent </span>paths are ignored.
- However, if there were previous path operations that have already established a larger bounding box,
- it will not be made smaller by this operation.
- <!--l. 1002--><p class="noindent">In a sense, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box</span></span></span> has the same effect as clipping all subsequent drawing against the
- current path--without actually doing the clipping, only making <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;treat everything as if it were
- clipped.
- <!--l. 1007--><p class="noindent">The first application of this option is to have a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> overlap with the main text:
- <!--l. 1010--><p class="noindent"><div class="obeylines-v"></div>Left of picture<object data="pgfmanual-217.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>right of picture.<!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-217-" ><colgroup id="TBL-217-1g"><col
-id="TBL-217-1"></colgroup><tr
- valign="baseline" id="TBL-217-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-217-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Left</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;picture\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[use</span><span
-class="cmtt-8">&nbsp;as</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,.75);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}right</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;picture.</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1017--><p class="noindent">In a second application this option can be used to get better control over the white space around the
- picture:
- <!--l. 1020--><p class="noindent"><div class="obeylines-v"></div>Left of picture<object data="pgfmanual-218.svg" width="114.81053 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>right of picture.<!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-218-" ><colgroup id="TBL-218-1g"><col
-id="TBL-218-1"></colgroup><tr
- valign="baseline" id="TBL-218-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-218-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Left</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;picture</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(.75,.25)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span>
-<br><span
-class="cmtt-8">right</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;picture.</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
-
-
- <!--l. 1029--><p class="noindent">Note: If this option is used on a path inside a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group (scope), the effect &#8220;lasts&#8221; only till the end of the
- scope. Again, this behavior is the same as for clipping.</li></ul>
-<!--l. 1034--><p class="indent"> There is a node that allows you to get the size of the current bounding box. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">current</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box</span></span></span> node
-has the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape and its size is always the size of the current bounding
-box.
-<!--l. 1040--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-219-" ><colgroup id="TBL-219-1g"><col
-id="TBL-219-1"><col
-id="TBL-219-2"></colgroup><tr
- valign="baseline" id="TBL-219-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-219-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-219.svg" width="124.67714 " height="88.07361 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-219-1-2"
-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[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(3pt);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.south</span><span
-class="cmtt-8">&nbsp;west)</span><span
-class="cmtt-8">&nbsp;rectangle</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;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.north</span><span
-class="cmtt-8">&nbsp;east);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(4pt);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick]</span><span
-class="cmtt-8">&nbsp;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.south</span><span
-class="cmtt-8">&nbsp;west)</span><span
-class="cmtt-8">&nbsp;rectangle</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;</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;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.north</span><span
-class="cmtt-8">&nbsp;east);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1059--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.6 </span> <a
- id="x11-13500010.6"></a>Using a Path For Clipping</h4>
-<!--l. 1061--><p class="noindent">To use a path for clipping, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">clip</span><a
- id="dx11-135001"></a><a
- id="dx11-135002"></a> This option causes all subsequent drawings to be clipped against the current path and the size of
- subsequent paths will not be important for the picture size. If you clip against a self-intersecting path,
- the even-odd rule or the nonzero winding number rule is used to determine whether a point is inside
- or outside the clipping region.
- <!--l. 1071--><p class="noindent">The clipping path is a graphic state parameter, so it will be reset at the end of the current scope.
- Multiple clippings accumulate, that is, clipping is always done against the intersection of all clipping
- areas that have been specified inside the current scopes. The only way of enlarging the clipping area
- is to end a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span>.
- <!--l. 1077--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-220-" ><colgroup id="TBL-220-1g"><col
-id="TBL-220-1"><col
-id="TBL-220-2"></colgroup><tr
- valign="baseline" id="TBL-220-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-220-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-220.svg" width="77.40701 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-220-1-2"
-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[clip]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1084--><p class="noindent">It is usually a <span
-class="cmti-10">very </span>good idea to apply the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option only to the first path command in a
- scope.
- <!--l. 1087--><p class="noindent">If you &#8220;only wish to clip&#8221; and do not wish to draw anything, you can use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command, which is a
- shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span>.
-
-
- <!--l. 1090--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-221-" ><colgroup id="TBL-221-1g"><col
-id="TBL-221-1"><col
-id="TBL-221-2"></colgroup><tr
- valign="baseline" id="TBL-221-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-221-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-221.svg" width="76.87369 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-221-1-2"
-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;\clip</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1097--><p class="noindent">To keep clipping local, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments as in the following example:
- <!--l. 1100--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-222-" ><colgroup id="TBL-222-1g"><col
-id="TBL-222-1"><col
-id="TBL-222-2"></colgroup><tr
- valign="baseline" id="TBL-222-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-222-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-222.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-222-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(</span><span
-class="cmtt-8">&nbsp;0:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(20:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(30:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[fill=red]</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;\fill[clip]</span><span
-class="cmtt-8">&nbsp;(0.2,0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0.5,0.5);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(40:1cm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50:1cm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(60:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(70:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(80:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(90:1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1119--><p class="noindent">There is a slightly annoying catch: You cannot specify certain graphic options for the command used for
- clipping. For example, in the above code we could not have moved the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill=red</span></span></span> to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> command. The
- reasons for this have to do with the internals of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;specification. You do not want to know the details. It
- is best simply not to specify any options for these commands.</li></ul>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse11.html" >next</a>] [<a
-href="pgfmanualse9.html" >prev</a>] [<a
-href="pgfmanualse9.html#tailpgfmanualse9.html" >prev-tail</a>] [<a
-href="pgfmanualse10.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse10.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse10.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse11.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse11.html
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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>11 Nodes</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse12.html" >next</a>] [<a
-href="pgfmanualse10.html" >prev</a>] [<a
-href="pgfmanualse10.html#tailpgfmanualse10.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse11.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse11.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">11 </span> <a
- id="x12-13600011"></a>Nodes</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.1 </span> <a
- id="x12-13700011.1"></a>Nodes and Their Shapes</h4>
-<!--l. 14--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;offers an easy way of adding so-called <span
-class="cmti-10">nodes </span>to your pictures. In the simplest case, a node is just some text
-that is placed at some coordinate. However, a node can also have a border drawn around it or have a more complex
-background and foreground. Indeed, some nodes do not have a text at all, but consist solely of the background. You
-can name nodes so that you can reference their coordinates later in the picture. However, <span
-class="cmti-10">nodes cannot be referenced</span>
-<span
-class="cmti-10">across different pictures</span>.
-<!--l. 23--><p class="indent"> There are no special <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;commands for adding a node to a picture; rather, there is path operation called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span>
-for this. Nodes are created whenever Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> at a point on a path where it would
-expect a normal path operation (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span>). It is also possible to give node specifications <span
-class="cmti-10">inside</span>
-certain path operations as explained later.
-<!--l. 30--><p class="indent"> The node operation is typically followed by some options, which apply only to the node. Then, you can
-optionally <span
-class="cmti-10">name </span>the node by providing a name in round braces. Lastly, for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation you must provide
-some label text for the node in curly braces, while for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> operation you may not. The node is placed at
-the current position of the path <span
-class="cmti-10">after the path has been drawn</span>. Thus, all nodes are drawn &#8220;on top&#8221; of the path and
-retained until the path is complete. If there are several nodes on a path, they are drawn on top of the path in the
-order they are encountered.
-<!--l. 41--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-223-" ><colgroup id="TBL-223-1g"><col
-id="TBL-223-1"><col
-id="TBL-223-2"></colgroup><tr
- valign="baseline" id="TBL-223-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-223-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-223.svg" width="113.8061 " height="95.0208 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-223-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[fill=examplefill]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{first</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{second</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{third</span><span
-class="cmtt-8">&nbsp;node};</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 48--><p class="indent"> The syntax for specifying nodes is the following:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox83"><span id="textcolor84"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">node</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">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></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">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</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">text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span>&nbsp;<span id="textcolor85">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx12-137001"></a>
-<a
- id="dx12-137002"></a>
- <!--l. 51--><p class="noindent">The effect of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at</span></span></span> is to place the node at the coordinate given after <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at</span></span></span> and not, as would normally be the
- case, at the last position. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at</span></span></span> syntax is not available when a node is given inside a path operation
- (it would not make any sense, there).
- <!--l. 56--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> is a name for later reference and it is optional. You may also add the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>
- to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">option</span><span
-class="cmsy-10">&gt; </span>list; it has the same effect.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">name</span><a
- id="dx12-137003"></a><a
- id="dx12-137004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>assigns a name to the node for later reference. Since this is a &#8220;high-level&#8221; name
- (drivers never know of it), you can use spaces, number, letters, or whatever you like when naming
- a node. Thus, you can name a node just <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span> or perhaps <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">start</span><span
-class="cmtt-10">&nbsp;of</span><span
-class="cmtt-10">&nbsp;chart</span></span></span> or even <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">y_1</span></span></span>. Your node
- name should <span
-class="cmti-10">not </span>contain any punctuation like a dot, a comma, or a colon since these are used to
- detect what kind of coordinate you mean when you reference a node.</li></ul>
-
-
- <!--l. 71--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>is an optional list of options that <span
-class="cmti-10">apply only to the node </span>and have no effect outside. The other
- way round, most &#8220;outside&#8221; options also apply to the node, but not all. For example, the &#8220;outside&#8221; rotation
- does not apply to nodes (unless some special options are used, sigh). Also, the outside path action, like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>
- or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span>, never applies to the node and must be given in the node (unless some special other options are used,
- deep sigh).
- <!--l. 79--><p class="noindent">As mentioned before, we can add a border and even a background to a node:
- <!--l. 81--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-224-" ><colgroup id="TBL-224-1g"><col
-id="TBL-224-1"><col
-id="TBL-224-2"></colgroup><tr
- valign="baseline" id="TBL-224-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-224-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-224.svg" width="115.00609 " height="95.95412 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-224-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[fill=examplefill]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{first</span><span
-class="cmtt-8">&nbsp;node}</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;(1,1)</span><span
-class="cmtt-8">&nbsp;node[draw]</span><span
-class="cmtt-8">&nbsp;{second</span><span
-class="cmtt-8">&nbsp;node}</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;(0,2)</span><span
-class="cmtt-8">&nbsp;node[fill=red!20,draw,double,rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;{third</span><span
-class="cmtt-8">&nbsp;node};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 88--><p class="noindent">The &#8220;border&#8221; is actually just a special case of a much more general mechanism. Each node has a certain <span
-class="cmti-10">shape</span>
- which, by default, is a rectangle. However, we can also ask Ti<span
-class="cmti-10">k</span>Z&nbsp;to use a circle shape instead or an ellipse
- shape (you have to include <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryshapes</span></span></span> for the latter shape):
- <!--l. 94--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-225-" ><colgroup id="TBL-225-1g"><col
-id="TBL-225-1"><col
-id="TBL-225-2"></colgroup><tr
- valign="baseline" id="TBL-225-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-225-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-225.svg" width="131.56393 " height="121.94939 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-225-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[fill=examplefill]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;node{first</span><span
-class="cmtt-8">&nbsp;node}</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;(1,1)</span><span
-class="cmtt-8">&nbsp;node[ellipse,draw]</span><span
-class="cmtt-8">&nbsp;{second</span><span
-class="cmtt-8">&nbsp;node}</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;(0,2)</span><span
-class="cmtt-8">&nbsp;node[circle,fill=red!20]</span><span
-class="cmtt-8">&nbsp;{third</span><span
-class="cmtt-8">&nbsp;node};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 101--><p class="noindent">In the future, there might be much more complicated shapes available such as, say, a shape for a
- resistor or a shape for a state of a finite automaton or a shape for a <span
-class="cmcsc-10"><small
-class="small-caps">U</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small> </span>class. Unfortunately,
- creating new shapes is a bit tricky and makes it necessary to use the basic layer directly. Life is
- hard.
- <!--l. 107--><p class="noindent">To select the shape of a node, the following option is used:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">shape</span><a
- id="dx12-137005"></a><a
- id="dx12-137006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape name</span><span
-class="cmsy-10">&gt; </span>select the shape either of the current node or, when this option is not given
- inside a node but somewhere outside, the shape of all nodes in the current scope.<a
- id="dx12-137007"></a><a
- id="dx12-137008"></a>
- <!--l. 115--><p class="noindent">Since this option is used often, you can leave out the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shape=</span></span></span>. When Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters an option
- like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> that it does not know, it will, after everything else has failed, check whether this
- option is the name of some shape. If so, that shape is selected as if you had said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shape=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span>
- <span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 121--><p class="noindent">By default, the following shapes are available: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>, and, when the
- package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryshapes</span></span></span> is loaded, also <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>. Details of these shapes, like their anchors
- and size options, are discussed in Section&nbsp;<a
-href="#x12-14600011.8">11.8<!--tex4ht:ref: section-the-shapes --></a>.</li></ul>
- <!--l. 127--><p class="noindent">The following styles influences how nodes are rendered:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every node</span><a
- id="dx12-137009"></a><a
- id="dx12-137010"></a> This style is installed at the beginning of every node.
-
-
- <!--l. 131--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-226-" ><colgroup id="TBL-226-1g"><col
-id="TBL-226-1"><col
-id="TBL-226-2"></colgroup><tr
- valign="baseline" id="TBL-226-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-226-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-226.svg" width="58.08026 " height="57.46912 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-226-1-2"
-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;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node</span><a
- id="dx12-137011"></a><a
- id="dx12-137012"></a> These styles are installed at the beginning of a node of a given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span><span
-class="cmsy-10">&gt;</span>. For
- example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">every</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;node</span></span></span> is used for rectangle nodes, and so on.
- <!--l. 142--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-227-" ><colgroup id="TBL-227-1g"><col
-id="TBL-227-1"><col
-id="TBL-227-2"></colgroup><tr
- valign="baseline" id="TBL-227-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-227-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-227.svg" width="62.4033 " height="61.95885 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-227-1-2"
-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;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;node}=</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw,double]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[rectangle]</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node[circle]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-<!--l. 152--><p class="indent"> The is a special syntax for specifying &#8220;light-weighed&#8221; nodes:
-<!--l. 154--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox86"><span id="textcolor87"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">coordinate</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">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></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">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>&nbsp;<span id="textcolor88">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx12-137013"></a>
-<a
- id="dx12-137014"></a>
- <!--l. 155--><p class="noindent">This has the same effect as
- <!--l. 157--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node[shape=coordinate][</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</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">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)at(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">){}</span></span></span>,
- <!--l. 159--><p class="noindent">where the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at</span></span></span> part might be missing. </dd></dl>
-<!--l. 164--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.2 </span> <a
- id="x12-13800011.2"></a>Multi-Part Nodes</h4>
-<!--l. 166--><p class="noindent">Most nodes just have a single simple text label. However, nodes of a more complicated shapes might be made up
-from several <span
-class="cmti-10">node parts</span>. For example, in automata theory a so-called Moore state has a state name, drawn in the
-upper part of the state circle, and an output text, drawn in the lower part of the state circle. These two parts are
-quite independent. Similarly, a <span
-class="cmcsc-10"><small
-class="small-caps">U</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small> </span>class shape would have a name part, a method part, and an attributes part.
-Different molecule shape might use parts for the different atoms to be drawn at the different positions, and so
-on.
-<!--l. 176--><p class="indent"> Both <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z&nbsp;support such multipart nodes. On the lower level, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;provides a system for specifying
-that a shape consists of several parts. On the Ti<span
-class="cmti-10">k</span>Z&nbsp;level, you specify the different node parts by using the following
-command:
-<!--l. 181--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox89"><span
-class="cmtt-10">\nodepart</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">part name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx12-138001"></a>
- <!--l. 182--><p class="noindent">This command can only be used inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>argument of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> path operation. It works a little
- bit like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\part</span></span></span> command in <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>. It will stop the typesetting of whatever node part was typeset
- until now and then start putting all following text into the node part named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">part name</span><span
-class="cmsy-10">&gt;</span>--until another
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\partname</span></span></span> is encountered or until the node <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>ends.
-
-
- <!--l. 189--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-228-" ><colgroup id="TBL-228-1g"><col
-id="TBL-228-1"><col
-id="TBL-228-2"></colgroup><tr
- valign="baseline" id="TBL-228-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-228-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-228.svg" width="44.43355 " height="44.43355 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-228-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;[state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output,draw,double,fill=red!20]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;No</span><span
-class="cmsltt-10x-x-80">&nbsp;\nodepart</span><span
-class="cmsltt-10x-x-80">&nbsp;has</span><span
-class="cmsltt-10x-x-80">&nbsp;been</span><span
-class="cmsltt-10x-x-80">&nbsp;used,</span><span
-class="cmsltt-10x-x-80">&nbsp;yet.</span><span
-class="cmsltt-10x-x-80">&nbsp;So,</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;following</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;put</span><span
-class="cmsltt-10x-x-80">&nbsp;in</span><span
-class="cmsltt-10x-x-80">&nbsp;the</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;``text''</span><span
-class="cmsltt-10x-x-80">&nbsp;node</span><span
-class="cmsltt-10x-x-80">&nbsp;part</span><span
-class="cmsltt-10x-x-80">&nbsp;by</span><span
-class="cmsltt-10x-x-80">&nbsp;default.</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;$q_1$</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;\nodepart{output}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Ok,</span><span
-class="cmsltt-10x-x-80">&nbsp;end</span><span
-class="cmsltt-10x-x-80">&nbsp;``text''</span><span
-class="cmsltt-10x-x-80">&nbsp;part,</span><span
-class="cmsltt-10x-x-80">&nbsp;start</span><span
-class="cmsltt-10x-x-80">&nbsp;``output''</span><span
-class="cmsltt-10x-x-80">&nbsp;part</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;$00$</span>
-<br><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;output</span><span
-class="cmsltt-10x-x-80">&nbsp;part</span><span
-class="cmsltt-10x-x-80">&nbsp;ended.</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 202--><p class="noindent">You will have to lookup which parts are defined by a shape.
- <!--l. 204--><p class="noindent">The following styles influences node parts:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">part name</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node part</span><a
- id="dx12-138002"></a><a
- id="dx12-138003"></a> This style is installed at the beginning of every node part named
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">part name</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 209--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-229-" ><colgroup id="TBL-229-1g"><col
-id="TBL-229-1"><col
-id="TBL-229-2"></colgroup><tr
- valign="baseline" id="TBL-229-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-229-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-229.svg" width="43.10022 " height="43.10022 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-229-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;part}=[red]</span>
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output,draw]</span><span
-class="cmtt-8">&nbsp;{$q_1$</span><span
-class="cmtt-8">&nbsp;\nodepart{output}</span><span
-class="cmtt-8">&nbsp;$00$};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-<!--l. 218--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.3 </span> <a
- id="x12-13900011.3"></a>Options for the Text in Nodes</h4>
-<!--l. 220--><p class="noindent">The simplest option for the text in nodes is its color. Normally, this color is just the last color installed using
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span>, possibly inherited from another scope. However, it is possible to specificly set the color used for text using
-the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">text</span><a
- id="dx12-139001"></a><a
- id="dx12-139002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>Sets the color to be used for text labels. A <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option will immediately override this
- option.
- <!--l. 229--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-230-" ><colgroup id="TBL-230-1g"><col
-id="TBL-230-1"><col
-id="TBL-230-2"></colgroup><tr
- valign="baseline" id="TBL-230-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-230-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-230.svg" width="128.7989 " height="57.61726 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-230-1-2"
-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[red]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;node[above]</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;{red};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[text=red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;node[above]</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;{red};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;node[above,red]</span><span
-class="cmtt-8">&nbsp;{red};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 238--><p class="indent"> Just like the color itself, you may also wish to set the opacity of the text only. For this, use the following
-option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">text opacity</span><a
- id="dx12-139003"></a><a
- id="dx12-139004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>Sets the opacity of text labels.
-
-
- <!--l. 243--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-231-" ><colgroup id="TBL-231-1g"><col
-id="TBL-231-1"><col
-id="TBL-231-2"></colgroup><tr
- valign="baseline" id="TBL-231-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-231-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-231.svg" width="122.39786 " height="96.85042 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-231-1-2"
-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[line</span><span
-class="cmtt-8">&nbsp;width=2mm,blue!50,cap=round]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill,draw]</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[opacity=0.5]</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(1.5,2)</span><span
-class="cmtt-8">&nbsp;{Upper</span><span
-class="cmtt-8">&nbsp;node};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[draw</span><span
-class="cmtt-8">&nbsp;opacity=0.8,fill</span><span
-class="cmtt-8">&nbsp;opacity=0.2,text</span><span
-class="cmtt-8">&nbsp;opacity=1]</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;at</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;{Lower</span><span
-class="cmtt-8">&nbsp;node};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 255--><p class="indent"> Next, you may wish to adjust the font used for the text. Use the following option for this:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">font</span><a
- id="dx12-139005"></a><a
- id="dx12-139006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">font commands</span><span
-class="cmsy-10">&gt; </span>Sets the font used for text labels.
- <!--l. 260--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-232-" ><colgroup id="TBL-232-1g"><col
-id="TBL-232-1"><col
-id="TBL-232-2"></colgroup><tr
- valign="baseline" id="TBL-232-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-232-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-232.svg" width="58.12878 " height="57.61726 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-232-1-2"
-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[font=\itshape]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{italic};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 265--><p class="noindent">A perhaps more useful example is the following:
- <!--l. 267--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-233-" ><colgroup id="TBL-233-1g"><col
-id="TBL-233-1"><col
-id="TBL-233-2"></colgroup><tr
- valign="baseline" id="TBL-233-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-233-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-233.svg" width="56.44781 " height="56.44781 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-233-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;part}=[font=\itshape]</span>
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;part}=[font=\footnotesize]</span>
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output]</span><span
-class="cmtt-8">&nbsp;{state</span><span
-class="cmtt-8">&nbsp;\nodepart{output}</span><span
-class="cmtt-8">&nbsp;output};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 276--><p class="indent"> Normally, when a node is typeset, all the text you give in the braces is but in one long line (in an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\hbox</span></span></span>, to be
-precise) and the node will become as wide as necessary.
-<!--l. 280--><p class="indent"> You can change this behaviour using the following options. They allow you to limit the width of a node
-(naturally, at the expense of its height).
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">text width</span><a
- id="dx12-139007"></a><a
- id="dx12-139008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option will put the text of a node in a box of the given width (more
- precisely, in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{minipage}</span></span></span> of this width; for plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;a rudimentary &#8220;minipage emulation&#8221; is used).
- <!--l. 290--><p class="noindent">If the node text is not as wide as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>, it will nevertheless be put in a box of this width. If it
- is larger, line breaking will be done.
- <!--l. 294--><p class="noindent">By default, when this option is given, a ragged right border will be used. This is sensible since, typically, these
- boxes are narrow and justifying the text looks ugly.
- <!--l. 297--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-234-" ><colgroup id="TBL-234-1g"><col
-id="TBL-234-1"><col
-id="TBL-234-2"></colgroup><tr
- valign="baseline" id="TBL-234-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-234-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-234.svg" width="123.69846 " height="83.14685 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-234-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">text justified</span><a
- id="dx12-139009"></a><a
- id="dx12-139010"></a> causes the text to be justified instead of (right)ragged. Use this only with pretty broad
- nodes.
- <!--l. 306--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-235-" ><colgroup id="TBL-235-1g"><col
-id="TBL-235-1"><col
-id="TBL-235-2"></colgroup><tr
- valign="baseline" id="TBL-235-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-235-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-235.svg" width="123.69846 " height="83.14685 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-235-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;justified]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 311--><p class="noindent">In the above example, <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;complains (rightfully) about three very badly typeset lines. (For this
- manual I asked <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;to stop complaining by using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\hbadness=10000</span></span></span>, but this is a foul deed,
- indeed.)
- </li>
- <li class="itemize"><span
-class="cmtt-10">text ragged</span><a
- id="dx12-139011"></a><a
- id="dx12-139012"></a> causes the text to be typeset with a ragged right. This uses the original plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;definition of
- a ragged right border, in which <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;will try to balance the right border as well as possible. This is the
- default.
- <!--l. 320--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-236-" ><colgroup id="TBL-236-1g"><col
-id="TBL-236-1"><col
-id="TBL-236-2"></colgroup><tr
- valign="baseline" id="TBL-236-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-236-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-236.svg" width="123.69846 " height="83.14685 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-236-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;ragged]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">text badly ragged</span><a
- id="dx12-139013"></a><a
- id="dx12-139014"></a> causes the right border to be ragged in the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>-style, in which no balancing
- occurs. This looks ugly, but it may be useful for very narrow boxes and when you wish to avoid
- hyphenations.
- <!--l. 328--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-237-" ><colgroup id="TBL-237-1g"><col
-id="TBL-237-1"><col
-id="TBL-237-2"></colgroup><tr
- valign="baseline" id="TBL-237-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-237-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-237.svg" width="123.69846 " height="179.14648 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-237-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;badly</span><span
-class="cmtt-8">&nbsp;ragged]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">text centered</span><a
- id="dx12-139015"></a><a
- id="dx12-139016"></a> centers the text, but tries to balance the lines.
- <!--l. 334--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-238-" ><colgroup id="TBL-238-1g"><col
-id="TBL-238-1"><col
-id="TBL-238-2"></colgroup><tr
- valign="baseline" id="TBL-238-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-238-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-238.svg" width="123.69846 " height="85.73946 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-238-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;centered]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">text badly centered</span><a
- id="dx12-139017"></a><a
- id="dx12-139018"></a> centers the text, without balancing the lines.
- <!--l. 340--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-239-" ><colgroup id="TBL-239-1g"><col
-id="TBL-239-1"><col
-id="TBL-239-2"></colgroup><tr
- valign="baseline" id="TBL-239-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-239-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-239.svg" width="123.69846 " height="179.14648 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-239-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;badly</span><span
-class="cmtt-8">&nbsp;centered]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 348--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.4 </span> <a
- id="x12-14000011.4"></a>Placing Nodes Using Anchors</h4>
-<!--l. 350--><p class="noindent">When you place a node at some coordinate, the node is centered on this coordinate by default. This is often
-undesirable and it would be better to have the node to the right or above the actual coordinate.
-<!--l. 354--><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>&nbsp;uses a so-called anchoring mechanism to give you a very fine control over the placement. The idea is simple:
-Imaging a node of rectangular shape of a certain size. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;defines numerous anchor positions in the shape. For
-example to upper right corner is called, well, not &#8220;upper right anchor,&#8221; but the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor of the shape.
-The center of the shape has an anchor called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span> on top of it, and so on. Here are some examples (a complete
-list is given in Section&nbsp;<a
-href="#x12-14600011.8">11.8<!--tex4ht:ref: section-the-shapes --></a>).
-<!--l. 363--><p class="noindent"><object data="pgfmanual-240.svg" width="270.10464 " height="94.44304 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 374--><p class="indent"> Now, when you place a node at a certain coordinate, you can ask Ti<span
-class="cmti-10">k</span>Z&nbsp;to place the node shifted around in such
-a way that a certain anchor is at the coordinate. In the following example, we ask Ti<span
-class="cmti-10">k</span>Z&nbsp;to shift the first node such
-that its <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor is at coordinate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> and that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">west</span></span></span> anchor of the second node is at coordinate
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
-<!--l. 381--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-241.svg" width="183.35683 " height="66.42416 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-240-" ><colgroup id="TBL-240-1g"><col
-id="TBL-240-1"></colgroup><tr
- valign="baseline" id="TBL-240-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-240-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[anchor=north</span><span
-class="cmtt-8">&nbsp;east]</span><span
-class="cmtt-8">&nbsp;{first</span><span
-class="cmtt-8">&nbsp;node}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node[anchor=west]</span><span
-class="cmtt-8">&nbsp;{second</span><span
-class="cmtt-8">&nbsp;node};</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 386--><p class="indent"> Since the default anchor is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span>, the default behaviour is to shift the node in such a way that it is centered on
-the current position.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">anchor</span><a
- id="dx12-140001"></a><a
- id="dx12-140002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor name</span><span
-class="cmsy-10">&gt; </span>causes the node to be shifted such that it&#8217;s anchor <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor name</span><span
-class="cmsy-10">&gt; </span>lies on the
- current coordinate.
- <!--l. 395--><p class="noindent">The only anchor that is present in all shapes is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span>. However, most shapes will at least define
- anchors in all &#8220;compass directions.&#8221; Furthermore, the standard shapes also define a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">base</span></span></span> anchor, as
- well as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">base</span><span
-class="cmtt-10">&nbsp;west</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">base</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, for placing things on the baseline of the text.
-
-
- <!--l. 401--><p class="noindent">The standard shapes also define a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mid</span></span></span> anchor (and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mid</span><span
-class="cmtt-10">&nbsp;west</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mid</span><span
-class="cmtt-10">&nbsp;east</span></span></span>). This anchor is half the height of
- the character &#8220;x&#8221; above the base line. This anchor is useful for vertically centering multiple nodes that have
- different heights and depth. Here is an example:
- <!--l. 406--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-242.svg" width="159.80756 " height="170.36287 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-241-" ><colgroup id="TBL-241-1g"><col
-id="TBL-241-1"></colgroup><tr
- valign="baseline" id="TBL-241-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-241-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3,transform</span><span
-class="cmtt-8">&nbsp;shape]</span>
-<br><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;First,</span><span
-class="cmsltt-10x-x-80">&nbsp;center</span><span
-class="cmsltt-10x-x-80">&nbsp;alignment</span><span
-class="cmsltt-10x-x-80">&nbsp;-&gt;</span><span
-class="cmsltt-10x-x-80">&nbsp;wobbles</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[anchor=center]</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{x}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.5,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{y}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{t};</span>
-<br><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;Second,</span><span
-class="cmsltt-10x-x-80">&nbsp;base</span><span
-class="cmsltt-10x-x-80">&nbsp;alignment</span><span
-class="cmsltt-10x-x-80">&nbsp;-&gt;</span><span
-class="cmsltt-10x-x-80">&nbsp;no</span><span
-class="cmsltt-10x-x-80">&nbsp;wobble,</span><span
-class="cmsltt-10x-x-80">&nbsp;but</span><span
-class="cmsltt-10x-x-80">&nbsp;too</span><span
-class="cmsltt-10x-x-80">&nbsp;high</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[anchor=base]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,.5)</span><span
-class="cmtt-8">&nbsp;node{x}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.5,.5)</span><span
-class="cmtt-8">&nbsp;node{y}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,.5)</span><span
-class="cmtt-8">&nbsp;node{t};</span>
-<br><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;Third,</span><span
-class="cmsltt-10x-x-80">&nbsp;mid</span><span
-class="cmsltt-10x-x-80">&nbsp;alignment</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[anchor=mid]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{x}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{y}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{t};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 418--><p class="indent"> Unfortunately, while perfectly logical, it is often rather counter-intuitive that in order to place a node <span
-class="cmti-10">above </span>a
-given point, you need to specify the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span> anchor. For this reason, there are some useful options that allow you to
-select the standard anchors more intuitively:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">above</span><a
- id="dx12-140003"></a><a
- id="dx12-140004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=south</span></span></span>. If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt; </span>is specified, the node is additionally shifted
- upwards by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 428--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-242-" ><colgroup id="TBL-242-1g"><col
-id="TBL-242-1"><col
-id="TBL-242-2"></colgroup><tr
- valign="baseline" id="TBL-242-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-242-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-243.svg" width="43.22119 " height="22.08041 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-242-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{above};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 431--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-243-" ><colgroup id="TBL-243-1g"><col
-id="TBL-243-1"><col
-id="TBL-243-2"></colgroup><tr
- valign="baseline" id="TBL-243-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-243-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-244.svg" width="43.22119 " height="24.74707 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-243-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above=2pt]</span><span
-class="cmtt-8">&nbsp;{above};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">above left</span><a
- id="dx12-140005"></a><a
- id="dx12-140006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=south</span><span
-class="cmtt-10">&nbsp;east</span></span></span>. If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt; </span>is specified, the node is additionally
- shifted upwards and right by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 438--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-244-" ><colgroup id="TBL-244-1g"><col
-id="TBL-244-1"><col
-id="TBL-244-2"></colgroup><tr
- valign="baseline" id="TBL-244-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-244-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-245.svg" width="69.4878 " height="22.08041 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-244-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above</span><span
-class="cmtt-8">&nbsp;left]</span><span
-class="cmtt-8">&nbsp;{above</span><span
-class="cmtt-8">&nbsp;left};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 441--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-245-" ><colgroup id="TBL-245-1g"><col
-id="TBL-245-1"><col
-id="TBL-245-2"></colgroup><tr
- valign="baseline" id="TBL-245-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-245-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-246.svg" width="72.15445 " height="24.74707 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-245-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above</span><span
-class="cmtt-8">&nbsp;left=2pt]</span><span
-class="cmtt-8">&nbsp;{above</span><span
-class="cmtt-8">&nbsp;left};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">above right</span><a
- id="dx12-140007"></a><a
- id="dx12-140008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=south</span><span
-class="cmtt-10">&nbsp;west</span></span></span>.
- <!--l. 446--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-246-" ><colgroup id="TBL-246-1g"><col
-id="TBL-246-1"><col
-id="TBL-246-2"></colgroup><tr
- valign="baseline" id="TBL-246-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-246-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-247.svg" width="78.4137 " height="24.67302 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-246-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above</span><span
-class="cmtt-8">&nbsp;right]</span><span
-class="cmtt-8">&nbsp;{above</span><span
-class="cmtt-8">&nbsp;right};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">left</span><a
- id="dx12-140009"></a><a
- id="dx12-140010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=east</span></span></span>.
- <!--l. 451--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-247-" ><colgroup id="TBL-247-1g"><col
-id="TBL-247-1"><col
-id="TBL-247-2"></colgroup><tr
- valign="baseline" id="TBL-247-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-247-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-248.svg" width="31.71005 " height="19.1471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-247-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{left};</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">right</span><a
- id="dx12-140011"></a><a
- id="dx12-140012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=west</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">below</span><a
- id="dx12-140013"></a><a
- id="dx12-140014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">below left</span><a
- id="dx12-140015"></a><a
- id="dx12-140016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span><span
-class="cmtt-10">&nbsp;east</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">below right</span><a
- id="dx12-140017"></a><a
- id="dx12-140018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span><span
-class="cmtt-10">&nbsp;west</span></span></span>.</li></ul>
-<!--l. 465--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.5 </span> <a
- id="x12-14100011.5"></a>Transformations</h4>
-<!--l. 467--><p class="noindent">It is possible to transform nodes, but, by default, transformations do not apply to nodes. The reason is that you
-usually do <span
-class="cmti-10">not </span>want your text to be scaled or rotated even if the main graphic is transformed. Scaling text is evil,
-rotating slightly less so.
-<!--l. 472--><p class="indent"> However, sometimes you <span
-class="cmti-10">do </span>wish to transform a node, for example, it certainly sometimes makes sense to rotate
-a node by 90 degrees. There are two ways in which you can achieve this:
-<!--l. 476--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x12-141002x1"></a>You can use the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">transform shape</span><a
- id="dx12-141003"></a><a
- id="dx12-141004"></a> causes the current &#8220;external&#8221; transformation matrix to be applied to the shape.
- For example, if you said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz[scale=3]</span></span></span> and then say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node[transform</span><span
-class="cmtt-10">&nbsp;shape]</span><span
-class="cmtt-10">&nbsp;{X}</span></span></span>, you will
- get a &#8220;huge&#8221; X in your graphic.</li></ul>
- </li>
- <li class="enumerate" value="2"
-><a
- id="x12-141006x2"></a>You can give transformation option <span
-class="cmti-10">inside </span>the option list of the node. <span
-class="cmti-10">These </span>transformations always apply to
- the node.
- <!--l. 489--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-248-" ><colgroup id="TBL-248-1g"><col
-id="TBL-248-1"><col
-id="TBL-248-2"></colgroup><tr
- valign="baseline" id="TBL-248-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-248-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-249.svg" width="115.07718 " height="99.55656 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-248-1-2"
-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;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;(1,0)</span><span
-class="cmtt-8">&nbsp;node{A}</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[rotate=90,scale=1.5]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=30]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;node{A}</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[rotate=90,scale=1.5]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=60]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;node[transform</span><span
-class="cmtt-8">&nbsp;shape]</span><span
-class="cmtt-8">&nbsp;{A}</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[transform</span><span
-class="cmtt-8">&nbsp;shape,rotate=90,scale=1.5]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ol>
-<!--l. 505--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.6 </span> <a
- id="x12-14200011.6"></a>Placing Nodes on a Line or Curve</h4>
-<!--l. 507--><p class="noindent">Until now, we always placed node on a coordinate that is mentioned in the path. Often, however, we wish to place
-nodes on &#8220;the middle&#8221; of a line and we do not wish to compute these coordinates &#8220;by hand.&#8221; To facilitate such
-placements, Ti<span
-class="cmti-10">k</span>Z&nbsp;allows you to specify that a certain node should be somewhere &#8220;on&#8221; a line. There are two ways of
-specifying this: Either explicitly by using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> option or implicitly by placing the node &#8220;inside&#8221; a path operation.
-These two ways are described in the following.
-
-
-<!--l. 518--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">11.6.1 </span> <a
- id="x12-14300011.6.1"></a>Explicit Use of the Position Option</h5>
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">pos</span><a
- id="dx12-143001"></a><a
- id="dx12-143002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt; </span>When this option is given, the node is not anchored on the last coordinate. Rather, it is
- anchored on some point on the line from the previous coordinate to the current point. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt;</span>
- dictates how &#8220;far&#8221; on the line the point should be. A <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt; </span>or 0 is the previous coordinate, 1 is
- the current one, everything else is in between. In particular, 0.5 is the middle.
- <!--l. 532--><p class="noindent">Now, what is &#8220;the previous line&#8221;? This depends on the previous path construction operation.
- <!--l. 535--><p class="noindent">In the simplest case, the previous path operation was a &#8220;line-to&#8221; operation, that is, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>
- operation:
- <!--l. 537--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-249-" ><colgroup id="TBL-249-1g"><col
-id="TBL-249-1"><col
-id="TBL-249-2"></colgroup><tr
- valign="baseline" id="TBL-249-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-249-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-250.svg" width="128.98334 " height="54.99373 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-249-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</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;node[pos=0]{0}</span><span
-class="cmtt-8">&nbsp;node[pos=0.5]{1/2}</span><span
-class="cmtt-8">&nbsp;node[pos=0.9]{9/10};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 542--><p class="noindent">The next case is the curve-to operation (the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> operation). In this case, the &#8220;middle&#8221; of the
- curve, that is, the position <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> is not necessarily the point at the exact half distance on the line.
- Rather, it is some point at &#8220;time&#8221; 0.5 of a point traveling from the start of the curve, where it
- is at time 0, to the end of the curve, which it reaches at time 0.5. The &#8220;speed&#8221; of the point
- depends on the length of the support vectors (the vectors that connect the start and end points to
- the control points). The exact math is a bit complicated (depending on your point of view, of
- course); you may wish to consult a good book on computer graphics and B&eacute;zier curves if you are
- intrigued.
- <!--l. 553--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-250-" ><colgroup id="TBL-250-1g"><col
-id="TBL-250-1"><col
-id="TBL-250-2"></colgroup><tr
- valign="baseline" id="TBL-250-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-250-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-251.svg" width="141.82294 " height="132.29097 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-250-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(right:3.5cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(right:3.5cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(0,3)</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;\foreach</span><span
-class="cmtt-8">&nbsp;\p</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,0.125,...,1}</span><span
-class="cmtt-8">&nbsp;{node[pos=\p]{\p}};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 558--><p class="noindent">Another interesting case are the horizontal/vertical line-to operations <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|-</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-|</span></span></span>. For them, the position (or
- time) <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> is exactly the corner point.
- <!--l. 562--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-251-" ><colgroup id="TBL-251-1g"><col
-id="TBL-251-1"><col
-id="TBL-251-2"></colgroup><tr
- valign="baseline" id="TBL-251-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-251-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-252.svg" width="129.52113 " height="58.78766 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-251-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(3,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[pos=0]{0}</span><span
-class="cmtt-8">&nbsp;node[pos=0.5]{1/2}</span><span
-class="cmtt-8">&nbsp;node[pos=0.9]{9/10};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--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-252-" ><colgroup id="TBL-252-1g"><col
-id="TBL-252-1"><col
-id="TBL-252-2"></colgroup><tr
- valign="baseline" id="TBL-252-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-252-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-253.svg" width="140.36508 " height="53.57019 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-252-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(3,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[pos=0]{0}</span><span
-class="cmtt-8">&nbsp;node[pos=0.5]{1/2}</span><span
-class="cmtt-8">&nbsp;node[pos=0.9]{9/10};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 572--><p class="noindent">For all other path construction operations, <span
-class="cmti-10">the position placement does not work</span>, currently. This will hopefully
- change in the future (especially for the arc operation).
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">sloped</span><a
- id="dx12-143003"></a><a
- id="dx12-143004"></a> This option causes the node to be rotated such that a horizontal line becomes a tangent to the curve.
- The rotation will always be done in such a way that text is never &#8220;upside down.&#8221; If you really need upside
- down text, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[rotate=180]</span></span></span>.
- <!--l. 580--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-253-" ><colgroup id="TBL-253-1g"><col
-id="TBL-253-1"><col
-id="TBL-253-2"></colgroup><tr
- valign="baseline" id="TBL-253-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-253-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-254.svg" width="84.91765 " height="140.33492 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp;</td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-253-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(up:2cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(left:2cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(1,3)</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;\foreach</span><span
-class="cmtt-8">&nbsp;\p</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,0.25,...,1}</span><span
-class="cmtt-8">&nbsp;{node[sloped,above,pos=\p]{\p}};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 584--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-254-" ><colgroup id="TBL-254-1g"><col
-id="TBL-254-1"><col
-id="TBL-254-2"></colgroup><tr
- valign="baseline" id="TBL-254-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-254-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-255.svg" width="77.40701 " height="55.31448 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-254-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[-&gt;]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0.5)</span><span
-class="cmtt-8">&nbsp;node[midway,sloped,above]</span><span
-class="cmtt-8">&nbsp;{$x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(2,-.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[midway,sloped,below]</span><span
-class="cmtt-8">&nbsp;{$y$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 593--><p class="noindent">There exist styles for specifying positions a bit less &#8220;technically&#8221;:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">midway</span><a
- id="dx12-143005"></a><a
- id="dx12-143006"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.5</span></span></span>.
- <!--l. 597--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-255-" ><colgroup id="TBL-255-1g"><col
-id="TBL-255-1"><col
-id="TBL-255-2"></colgroup><tr
- valign="baseline" id="TBL-255-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-255-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-256.svg" width="140.52092 " height="207.33667 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-255-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(up:2cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(left:3cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(1,5)</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;node[at</span><span
-class="cmtt-8">&nbsp;end]</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|at</span><span
-class="cmtt-8">&nbsp;end|}</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;node[very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;end]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;end|}</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;node[near</span><span
-class="cmtt-8">&nbsp;end]</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;</span><span
-class="cmtt-8">&nbsp;{|near</span><span
-class="cmtt-8">&nbsp;end|}</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;node[midway]</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|midway|}</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;node[near</span><span
-class="cmtt-8">&nbsp;start]</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;{|near</span><span
-class="cmtt-8">&nbsp;start|}</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;node[very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;start]</span><span
-class="cmtt-8">&nbsp;{|very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;start|}</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;node[at</span><span
-class="cmtt-8">&nbsp;start]</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;</span><span
-class="cmtt-8">&nbsp;{|at</span><span
-class="cmtt-8">&nbsp;start|};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">near start</span><a
- id="dx12-143007"></a><a
- id="dx12-143008"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.25</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">near end</span><a
- id="dx12-143009"></a><a
- id="dx12-143010"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.75</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very near start</span><a
- id="dx12-143011"></a><a
- id="dx12-143012"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.125</span></span></span>.
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very near end</span><a
- id="dx12-143013"></a><a
- id="dx12-143014"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.875</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">at start</span><a
- id="dx12-143015"></a><a
- id="dx12-143016"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">at end</span><a
- id="dx12-143017"></a><a
- id="dx12-143018"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=1</span></span></span>.</li></ul>
-<!--l. 622--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">11.6.2 </span> <a
- id="x12-14400011.6.2"></a>Implicit Use of the Position Option</h5>
-<!--l. 624--><p class="noindent">When you wish to place a node on the line <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span>, it is natural to specify the node not following the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>, but &#8220;somewhere in the middle.&#8221; This is, indeed, possible and you can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;node{a}</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span> to
-place a node midway between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
-<!--l. 630--><p class="indent"> What happens is the following: The syntax of the line-to path operation is actually <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node</span>
-<span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. (It is even possible to give multiple nodes in this way.) When the optional <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> is
-encountered, that is, when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> is directly followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span>, then the specification(s) are read and &#8220;stored away.&#8221;
-Then, after the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>has finally been reached, they are inserted again, but with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> option
-set.
-<!--l. 640--><p class="indent"> There are two things to note about this: When a node specification is &#8220;stored,&#8221; its catcodes become fixed.
-This means that you cannot use overly complicated verbatim text in them. If you really need, say, a
-verbatim text, you will have to put it in a normal node following the coordinate and add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span>
-option.
-<!--l. 646--><p class="indent"> Second, which <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> is chosen for the node? The position is inherited from the surrounding scope. However, this
-holds only for nodes specified in this implicit way. Thus, if you add the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[near</span><span
-class="cmtt-10">&nbsp;end]</span></span></span> to a scope, this does not
-mean that <span
-class="cmti-10">all </span>nodes given in this scope will be put on near the end of lines. Only the nodes for which an implicit
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> is added will be placed near the end. Typically, this is what you want. Here are some examples that should
-make this clearer:
-<!--l. 655--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-256-" ><colgroup id="TBL-256-1g"><col
-id="TBL-256-1"><col
-id="TBL-256-2"></colgroup><tr
- valign="baseline" id="TBL-256-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-256-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-257.svg" width="124.52116 " height="58.99886 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-256-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[near</span><span
-class="cmtt-8">&nbsp;end]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0cm,4em)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3cm,4em)</span><span
-class="cmtt-8">&nbsp;node{A};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0cm,3em)</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;</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;node{B}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3cm,3em);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0cm,2em)</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;</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;node[midway]</span><span
-class="cmtt-8">&nbsp;{C}</span><span
-class="cmtt-8">&nbsp;(3cm,2em);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0cm,1em)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3cm,1em)</span><span
-class="cmtt-8">&nbsp;node[midway]</span><span
-class="cmtt-8">&nbsp;{D}</span><span
-class="cmtt-8">&nbsp;;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 664--><p class="indent"> Like the line-to operation, the curve-to operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> also allows you to specify nodes &#8220;inside&#8221; the
-operation. After both the first <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> and also after the second <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> you can place node specifications. Like for
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> operation, these will be collected and then reinserted after the operation with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> option
-set.
-<!--l. 671--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.7 </span> <a
- id="x12-14500011.7"></a>Connecting Nodes</h4>
-<!--l. 673--><p class="noindent">Once you have defined a node and given it a name, you can use this name to reference it. This can be done in two
-ways, see also Section&nbsp;<a
-href="pgfmanualse8.html#x9-890008.5">8.5<!--tex4ht:ref: section-node-coordinates --></a>. Suppose you have said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path(0,0)</span><span
-class="cmtt-10">&nbsp;node(x)</span><span
-class="cmtt-10">&nbsp;{Hello</span><span
-class="cmtt-10">&nbsp;World!};</span></span></span> in order to define a node
-named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>.
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x12-145002x1"></a>Once the node <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> has been defined, you can use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> wherever you would normally use a
- normal coordinate. This will yield the position at which the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>is in the picture. Note that
- transformations do not apply to this coordinate, that is, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.north)</span></span></span> will be the northern anchor of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>
- even if you have said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale=3</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xshift=4cm</span></span></span>. This is usually what you would expect.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x12-145004x2"></a>You can also just use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x)</span></span></span> as a coordinate. In most cases, this gives the same coordinate as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.center)</span></span></span>.
- Indeed, if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shape</span></span></span> of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.center)</span></span></span> have exactly the same effect.
-
-
- <!--l. 692--><p class="noindent">However, for most other shapes, some path construction operations like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> try to be &#8220;clever&#8221; when
- this they are asked to draw a line from such a coordinate or to such a coordinate. When you say
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x)--(1,1)</span></span></span>, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> path operation will not draw a line from the center of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>, but <span
-class="cmti-10">from the border </span>of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>
- in the direction going towards <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>. Likewise, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)--(x)</span></span></span> will also have the line end on the border
- in the direction coming from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
- <!--l. 700--><p class="noindent">In addition to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>, the curve-to path operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> and the path operations <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-|</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|-</span></span></span> will also handle nodes
- without anchors correctly. Here is an example, see also Section&nbsp;<a
-href="pgfmanualse8.html#x9-890008.5">8.5<!--tex4ht:ref: section-node-coordinates --></a>:
- <!--l. 704--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-258.svg" width="187.08534 " height="88.31116 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-257-" ><colgroup id="TBL-257-1g"><col
-id="TBL-257-1"></colgroup><tr
- valign="baseline" id="TBL-257-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-257-1-1"
-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;\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</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;</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;(x)</span><span
-class="cmtt-8">&nbsp;{Hello</span><span
-class="cmtt-8">&nbsp;World!}</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;(3,1)</span><span
-class="cmtt-8">&nbsp;node[circle,draw](y)</span><span
-class="cmtt-8">&nbsp;{$\int_1^2</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;\mathrm</span><span
-class="cmtt-8">&nbsp;d</span><span
-class="cmtt-8">&nbsp;x$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(y);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;node[near</span><span
-class="cmtt-8">&nbsp;start,below]</span><span
-class="cmtt-8">&nbsp;{label}</span><span
-class="cmtt-8">&nbsp;(y);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,orange]</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(up:1cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(left:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;node[above,sloped]</span><span
-class="cmtt-8">&nbsp;{label}</span><span
-class="cmtt-8">&nbsp;(y);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ol>
-<!--l. 720--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.8 </span> <a
- id="x12-14600011.8"></a>Predefined Shapes</h4>
-<!--l. 723--><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;and Ti<span
-class="cmti-10">k</span>Z&nbsp;define three shapes, by default:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span>,
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, and
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>.</li></ul>
-<!--l. 732--><p class="noindent">By loading library packages, you can define more shapes. Currently, the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryshapes</span></span></span> defines
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>.</li></ul>
-<!--l. 739--><p class="indent"> The exact behaviour of these shapes differs, shapes defined for more special purposes (like a, say, transistor
-shape) will have even more custom behaviors. However, there are some options that apply to most
-shapes:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">inner sep</span><a
- id="dx12-146001"></a><a
- id="dx12-146002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>An additional (invisible) separation space of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>will be added inside
- the shape, between the text and the shape&#8217;s background path. The effect is as if you had added
- appropriate horizontal and vertical skips at the beginning and end of the text to make it a bit &#8220;larger.&#8221;
- The default <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">inner</span><span
-class="cmtt-10">&nbsp;sep</span></span></span> is the size of a normal space.
- <!--l. 752--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-258-" ><colgroup id="TBL-258-1g"><col
-id="TBL-258-1"><col
-id="TBL-258-2"></colgroup><tr
- valign="baseline" id="TBL-258-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-258-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-259.svg" width="50.25822 " height="69.59932 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-258-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</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;node[inner</span><span
-class="cmtt-8">&nbsp;sep=0pt,draw]</span><span
-class="cmtt-8">&nbsp;{tight}</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;(0cm,2em)</span><span
-class="cmtt-8">&nbsp;node[inner</span><span
-class="cmtt-8">&nbsp;sep=5pt,draw]</span><span
-class="cmtt-8">&nbsp;{loose}</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;(0cm,4em)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{default};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner xsep</span><a
- id="dx12-146003"></a><a
- id="dx12-146004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the inner separation in the <span
-class="cmmi-10">x</span>-direction, only.
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner ysep</span><a
- id="dx12-146005"></a><a
- id="dx12-146006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the inner separation in the <span
-class="cmmi-10">y</span>-direction, only.
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer sep</span><a
- id="dx12-146007"></a><a
- id="dx12-146008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option adds an additional (invisible) separation space of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>outside the
- background path. The main effect of this option is that all anchors will move a little &#8220;to the
- outside.&#8221;
- <!--l. 770--><p class="noindent">The default for this option is half the line width. When the default is used and when the background path is
- draw, the anchors will lie exactly on the &#8220;outside border&#8221; of the path (not on the path itself). When the shape
- is filled, but not drawn, this may not be desirable. In this case, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">outer</span><span
-class="cmtt-10">&nbsp;sep</span></span></span> should be set to zero
- point.
- <!--l. 776--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-259-" ><colgroup id="TBL-259-1g"><col
-id="TBL-259-1"><col
-id="TBL-259-2"></colgroup><tr
- valign="baseline" id="TBL-259-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-259-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-260.svg" width="122.70642 " height="53.1664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-259-1-2"
-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[line</span><span
-class="cmtt-8">&nbsp;width=5pt]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;node[outer</span><span
-class="cmtt-8">&nbsp;sep=0pt,fill=examplefill]</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;(f)</span><span
-class="cmtt-8">&nbsp;{filled}</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;(2,0)</span><span
-class="cmtt-8">&nbsp;node[inner</span><span
-class="cmtt-8">&nbsp;sep=.5\pgflinewidth+2pt,draw]</span><span
-class="cmtt-8">&nbsp;(d)</span><span
-class="cmtt-8">&nbsp;{drawn};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(1,-1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(f);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(1,-1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(d);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer xsep</span><a
- id="dx12-146009"></a><a
- id="dx12-146010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the outer separation in the <span
-class="cmmi-10">x</span>-direction, only.
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer ysep</span><a
- id="dx12-146011"></a><a
- id="dx12-146012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the outer separation in the <span
-class="cmmi-10">y</span>-direction, only.
- </li>
- <li class="itemize"><span
-class="cmtt-10">minimum height</span><a
- id="dx12-146013"></a><a
- id="dx12-146014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option ensures that the height of the shape (including the inner, but
- ignoring the outer separation) will be at least <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. Thus, if the text plus the inner separation is not at
- least as large as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>, the shape will be enlarged appropriately. However, if the text is already larger
- than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>, the shape will not be shrunk.
- <!--l. 798--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-260-" ><colgroup id="TBL-260-1g"><col
-id="TBL-260-1"><col
-id="TBL-260-2"></colgroup><tr
- valign="baseline" id="TBL-260-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-260-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-261.svg" width="109.99857 " height="39.47014 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-260-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;height=1cm,draw]</span><span
-class="cmtt-8">&nbsp;{1cm}</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;(2,0)</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;height=0cm,draw]</span><span
-class="cmtt-8">&nbsp;{0cm};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">minimum width</span><a
- id="dx12-146015"></a><a
- id="dx12-146016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">minimum</span><span
-class="cmtt-10">&nbsp;height</span></span></span>, only for the width.
- <!--l. 807--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-261-" ><colgroup id="TBL-261-1g"><col
-id="TBL-261-1"><col
-id="TBL-261-2"></colgroup><tr
- valign="baseline" id="TBL-261-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-261-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-262.svg" width="115.34387 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-261-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;height=2cm,minimum</span><span
-class="cmtt-8">&nbsp;width=3cm,draw]</span><span
-class="cmtt-8">&nbsp;{$3</span><span
-class="cmtt-8">&nbsp;\times</span><span
-class="cmtt-8">&nbsp;2$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">minimum size</span><a
- id="dx12-146017"></a><a
- id="dx12-146018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets both the minimum height and width at the same time.
-
-
- <!--l. 814--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-262-" ><colgroup id="TBL-262-1g"><col
-id="TBL-262-1"><col
-id="TBL-262-2"></colgroup><tr
- valign="baseline" id="TBL-262-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-262-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-263.svg" width="77.40701 " height="153.2807 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-262-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;size=2cm,draw]</span><span
-class="cmtt-8">&nbsp;{square};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-2)</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;size=2cm,draw,circle]</span><span
-class="cmtt-8">&nbsp;{circle};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 823--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> shape is handled in a special way by Ti<span
-class="cmti-10">k</span>Z. When a node <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> whose shape is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> is used
-as a coordinate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x)</span></span></span>, this has the same effect as if you had said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.center)</span></span></span>. None of the special &#8220;line
-shortening rules&#8221; apply in this case. This can be useful since, normally, the line shortening causes
-paths to be segmented and they cannot be used for filling. Here is an example that demonstrates the
-difference:
-<!--l. 830--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-263-" ><colgroup id="TBL-263-1g"><col
-id="TBL-263-1"><col
-id="TBL-263-2"></colgroup><tr
- valign="baseline" id="TBL-263-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-263-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-264.svg" width="48.35806 " height="100.8194 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-263-1-2"
-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;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path[yshift=1.5cm,shape=rectangle]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;node(a1){}</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;node(a2){}</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;(1,1)</span><span
-class="cmtt-8">&nbsp;node(a3){}</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;node(a4){};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;(a1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(a2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(a3)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(a4);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path[shape=coordinate]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;coordinate(b1)</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;coordinate(b2)</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;(1,1)</span><span
-class="cmtt-8">&nbsp;coordinate(b3)</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;coordinate(b4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;(b1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b3)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b4);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse12.html" >next</a>] [<a
-href="pgfmanualse10.html" >prev</a>] [<a
-href="pgfmanualse10.html#tailpgfmanualse10.html" >prev-tail</a>] [<a
-href="pgfmanualse11.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse11.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse11.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse12.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse12.html
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--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse12.html
+++ /dev/null
@@ -1,2681 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>12 Making Trees Grow</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse13.html" >next</a>] [<a
-href="pgfmanualse11.html" >prev</a>] [<a
-href="pgfmanualse11.html#tailpgfmanualse11.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse12.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse12.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">12 </span> <a
- id="x13-14700012"></a>Making Trees Grow</h3>
-<!--l. 13--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.1 </span> <a
- id="x13-14800012.1"></a>Introduction to the Child Operation</h4>
-<!--l. 15--><p class="noindent"><span
-class="cmti-10">Trees </span>are a common way of visualizing hierarchical structures. A simple tree looks like this:
-<!--l. 17--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-264-" ><colgroup id="TBL-264-1g"><col
-id="TBL-264-1"><col
-id="TBL-264-2"></colgroup><tr
- valign="baseline" id="TBL-264-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-264-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-265.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-264-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 28--><p class="indent"> Admittedly, in reality trees are more likely to grow <span
-class="cmti-10">upward </span>and not downward as above. You can tell whether
-the author of a paper is a mathematician or a computer scientist by looking at the direction their trees grow. A
-computer scientist&#8217;s trees will grow downward while a mathematician&#8217;s tree will grow upward. Naturally, the <span
-class="cmti-10">correct</span>
-way is the mathematician&#8217;s way, which can be specify as follows:
-<!--l. 35--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-265-" ><colgroup id="TBL-265-1g"><col
-id="TBL-265-1"><col
-id="TBL-265-2"></colgroup><tr
- valign="baseline" id="TBL-265-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-265-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-266.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-265-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;[grow'=up]</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 46--><p class="indent"> In Ti<span
-class="cmti-10">k</span>Z, trees are specified by adding <span
-class="cmti-10">children </span>to a node on a path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation:
-<!--l. 50--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox90"><span id="textcolor91"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">child</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foreach</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">in</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">values</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">child path</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span>&nbsp;<span id="textcolor92">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx13-148001"></a>
-<a
- id="dx13-148002"></a>
- <!--l. 51--><p class="noindent">This operation should directly follow a completed <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation or another <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation, although
- it is permissible that the first <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation is preceded by options (we will come to that).
-
-
- <!--l. 56--><p class="noindent">When a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span><span
-class="cmtt-10">&nbsp;{X}</span></span></span> is followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>, Ti<span
-class="cmti-10">k</span>Z&nbsp;starts counting the number of child
- nodes that follow the original <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span><span
-class="cmtt-10">&nbsp;{X}</span></span></span>. For this, it scans the input and stores away each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> and
- its arguments until it reaches a path operation that is not a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. Note that this will fix the character
- codes of all text inside the child arguments, which means, in essence, that you cannot use verbatim
- text inside the nodes inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. Sorry.
- <!--l. 64--><p class="noindent">Once the children have been collected and counted, Ti<span
-class="cmti-10">k</span>Z&nbsp;starts generating the child nodes. For each
- child of a parent node Ti<span
-class="cmti-10">k</span>Z&nbsp;computes an appropriate position where the child is placed. For each child,
- the coordinate system is transformed so that the origin is at this position. Then the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>is
- drawn. Typically, the child path just consists of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> specification, which results in a node being
- drawn at the child&#8217;s position. Finally, an edge is drawn from the first node in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>to the
- parent node.
- <!--l. 74--><p class="noindent">The optional <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foreach</span></span></span> part (note that there is no backslash before <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foreach</span></span></span>) allows you to specify multiple
- children in a single <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> command. The idea is the following: A <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement is (internally) used to
- iterate over the list of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">values</span><span
-class="cmsy-10">&gt;</span>. For each value in this list, a new <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> is added to the node. The syntax for
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>and for <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">values</span><span
-class="cmsy-10">&gt; </span>is the same as for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement, see Section&nbsp;<a
-href="pgfmanualse15.html#x16-17900015">15<!--tex4ht:ref: section-foreach --></a>. For example, when you
- say
- <!--l. 82--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-266-" ><colgroup id="TBL-266-1g"><col
-id="TBL-266-1"></colgroup><tr
- valign="baseline" id="TBL-266-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-266-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;[red]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\name</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2}</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{\name}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 85--><p class="noindent">the effect will be the same as if you had said
- <!--l. 86--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-267-" ><colgroup id="TBL-267-1g"><col
-id="TBL-267-1"></colgroup><tr
- valign="baseline" id="TBL-267-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-267-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;child[red]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{1}}</span><span
-class="cmtt-8">&nbsp;child[ref]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{2}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 89--><p class="noindent">When you write
- <!--l. 90--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-268-" ><colgroup id="TBL-268-1g"><col
-id="TBL-268-1"></colgroup><tr
- valign="baseline" id="TBL-268-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-268-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;child[\pos]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\name/\pos</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1/left,2/right}</span><span
-class="cmtt-8">&nbsp;{node[\pos]</span><span
-class="cmtt-8">&nbsp;{\name}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 93--><p class="noindent">the effect will be the same as for
- <!--l. 94--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-269-" ><colgroup id="TBL-269-1g"><col
-id="TBL-269-1"></colgroup><tr
- valign="baseline" id="TBL-269-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-269-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;child[left]</span><span
-class="cmtt-8">&nbsp;{node[left]</span><span
-class="cmtt-8">&nbsp;{1}}</span><span
-class="cmtt-8">&nbsp;child[right]</span><span
-class="cmtt-8">&nbsp;{node[right]</span><span
-class="cmtt-8">&nbsp;{2}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 98--><p class="noindent">You can nest things as in the following example:
- <!--l. 99--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-270-" ><colgroup id="TBL-270-1g"><col
-id="TBL-270-1"><col
-id="TBL-270-2"></colgroup><tr
- valign="baseline" id="TBL-270-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-270-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-267.svg" width="54.64487 " height="47.0575 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-270-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=4mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=8mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=4mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=2mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\coordinate</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;child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1}</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;{child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1}</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;{child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\z</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1}}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 111--><p class="noindent">The details and options for this operation are described in the rest of this present section. </dd></dl>
-<!--l. 117--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.2 </span> <a
- id="x13-14900012.2"></a>Child Paths and the Child Nodes</h4>
-<!--l. 119--><p class="noindent">For each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> of a root node, its <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>is inserted at a specific location in the picture (the placement rules
-are discussed in Section&nbsp;<a
-href="#x13-15200012.5">12.5<!--tex4ht:ref: section-tree-placement --></a>). The first node in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt;</span>, if it exists, is special and called the <span
-class="cmti-10">child node</span>. If
-there is no first node in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt;</span>, that is, if the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>is missing (including the curly braces) or if it
-does not start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> or with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>, then an empty child node of shape <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> is automatically
-added.
-
-
-<!--l. 128--><p class="indent"> Consider the example <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\node</span><span
-class="cmtt-10">&nbsp;{x}</span><span
-class="cmtt-10">&nbsp;child</span><span
-class="cmtt-10">&nbsp;{node</span><span
-class="cmtt-10">&nbsp;{y}}</span><span
-class="cmtt-10">&nbsp;child;</span></span></span>. For the first child, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>has the child
-node <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span><span
-class="cmtt-10">&nbsp;{y}</span></span></span>. For the second child, no child node is specified and, thus, it is just <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>.
-<!--l. 133--><p class="indent"> As for any normal node, you can give the child node a name, shift it around, or use options to influence how it is
-rendered.
-<!--l. 135--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-271-" ><colgroup id="TBL-271-1g"><col
-id="TBL-271-1"><col
-id="TBL-271-2"></colgroup><tr
- valign="baseline" id="TBL-271-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-271-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-268.svg" width="100.92804 " height="83.51978 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-271-1-2"
-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;\node[rectangle,draw]</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{node[circle,draw]</span><span
-class="cmtt-8">&nbsp;(left</span><span
-class="cmtt-8">&nbsp;node)</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node[ellipse,draw]</span><span
-class="cmtt-8">&nbsp;(right</span><span
-class="cmtt-8">&nbsp;node)</span><span
-class="cmtt-8">&nbsp;{right}};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[dashed,-&gt;]</span><span
-class="cmtt-8">&nbsp;(left</span><span
-class="cmtt-8">&nbsp;node)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(right</span><span
-class="cmtt-8">&nbsp;node);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 144--><p class="indent"> In many cases, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>will just consist of a specification of a child node and, possibly, children of this
-child node. However, the node specification may be followed by arbitrary other material that will be added to the
-picture, transformed to the child&#8217;s coordinate system. For your convenience, a move-to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> operation is inserted
-automatically at the beginning of the path. Here is an example:
-<!--l. 152--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-272-" ><colgroup id="TBL-272-1g"><col
-id="TBL-272-1"><col
-id="TBL-272-2"></colgroup><tr
- valign="baseline" id="TBL-272-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-272-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-269.svg" width="63.77191 " height="69.38306 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-272-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{[fill]</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)}</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;child</span><span
-class="cmtt-8">&nbsp;{[fill]</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 161--><p class="indent"> At the end of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>you may add a special path operation called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span>.
-If this operation is not given by yourself somewhere on the path, it will be automatically added at
-the end. This option causes a connecting edge from the parent node to the child node to be added
-to the path. By giving options to this operation you can influence how the edge is rendered. Also,
-nodes following the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation will be placed on this edge, see Section&nbsp;<a
-href="#x13-15300012.6">12.6<!--tex4ht:ref: section-edge-from-parent --></a> for
-details.
-<!--l. 170--><p class="indent"> To sum up:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x13-149002x1"></a>The child path starts with a node specification. If it is not there, it is added automatically.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x13-149004x2"></a>The child path ends with a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation, possibly followed by nodes to be put on this
- edge. If the operation is not given at the end, it is added automatically.</li></ol>
-<!--l. 183--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.3 </span> <a
- id="x13-15000012.3"></a>Naming Child Nodes</h4>
-<!--l. 185--><p class="noindent">Child nodes can be named like any other node using either the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name</span></span></span> option or the special syntax in
-which the name of the node is placed in round parentheses between the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation and the node&#8217;s
-text.
-<!--l. 190--><p class="indent"> If you do not assign a name to a child node, Ti<span
-class="cmti-10">k</span>Z&nbsp;will automatically assign a name as follows: Assume that the
-name of the parent node is, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent</span></span></span>. (If you did not assign a name to the parent, Ti<span
-class="cmti-10">k</span>Z&nbsp;will do so itself, but that
-name will not be user-accessible.) The first child of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent</span></span></span> will be named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-1</span></span></span>, the second child is named
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-2</span></span></span>, and so on.
-<!--l. 198--><p class="indent"> This naming convention works recursively. If the second child <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-2</span></span></span> has children, then the first of these
-children will be called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-2-1</span></span></span> and the second <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-2-2</span></span></span> and so on.
-<!--l. 202--><p class="indent"> If you assign a name to a child node yourself, no name is generated automatically (the node does
-not have two names). However, &#8220;counting continues,&#8221; which means that the third child of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent</span></span></span> is
-called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-3</span></span></span> independently of whether you have assigned names to the first and/or second child of
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent</span></span></span>.
-
-
-<!--l. 208--><p class="indent"> Here is an example:
-<!--l. 210--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-273-" ><colgroup id="TBL-273-1g"><col
-id="TBL-273-1"><col
-id="TBL-273-2"></colgroup><tr
- valign="baseline" id="TBL-273-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-273-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-270.svg" width="136.02354 " height="133.72487 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-273-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;(root)</span><span
-class="cmtt-8">&nbsp;{root}</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;child</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;child</span><span
-class="cmtt-8">&nbsp;{</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;child</span><span
-class="cmtt-8">&nbsp;{coordinate</span><span
-class="cmtt-8">&nbsp;(special)}</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;child</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>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(root-1)</span><span
-class="cmtt-8">&nbsp;{root-1};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(root-2)</span><span
-class="cmtt-8">&nbsp;{root-2};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(special)</span><span
-class="cmtt-8">&nbsp;{special};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(root-2-2)</span><span
-class="cmtt-8">&nbsp;{root-2-2};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 225--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.4 </span> <a
- id="x13-15100012.4"></a>Specifying Options for Trees and Children</h4>
-<!--l. 227--><p class="noindent">Each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> may have its own <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span>, which apply to &#8220;the whole child,&#8221; including all of its grandchildren. Here is
-an example:
-<!--l. 231--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-274-" ><colgroup id="TBL-274-1g"><col
-id="TBL-274-1"><col
-id="TBL-274-2"></colgroup><tr
- valign="baseline" id="TBL-274-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-274-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-271.svg" width="96.90877 " height="115.8772 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-274-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=10mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\coordinate</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;child[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</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;child[green]</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child[blue]};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 240--><p class="indent"> The options of the root node have no effect on the children since the options of a node are always &#8220;local&#8221; to that
-node. Because of this, the edges in the following tree are black, not red.
-<!--l. 244--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-275-" ><colgroup id="TBL-275-1g"><col
-id="TBL-275-1"><col
-id="TBL-275-2"></colgroup><tr
- valign="baseline" id="TBL-275-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-275-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-272.svg" width="58.97192 " height="66.98306 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-275-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[red]</span><span
-class="cmtt-8">&nbsp;{root}</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;child</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;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 251--><p class="indent"> This raises the problem of how to set options for <span
-class="cmti-10">all </span>children. Naturally, you could always set options for the
-whole path as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;[red]</span><span
-class="cmtt-10">&nbsp;node</span><span
-class="cmtt-10">&nbsp;{root}</span><span
-class="cmtt-10">&nbsp;child</span><span
-class="cmtt-10">&nbsp;child;</span></span></span> but this is bothersome in some situations. Instead, it is
-easier to give the options <span
-class="cmti-10">before the first child </span>as follows:
-
-
-<!--l. 256--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-276-" ><colgroup id="TBL-276-1g"><col
-id="TBL-276-1"><col
-id="TBL-276-2"></colgroup><tr
- valign="baseline" id="TBL-276-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-276-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-273.svg" width="58.97192 " height="66.98306 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-276-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[red]</span><span
-class="cmtt-8">&nbsp;{root}</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;[green]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;option</span><span
-class="cmsltt-10x-x-80">&nbsp;applies</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;children</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;child</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;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 265--><p class="indent"> Here is the set of rules:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x13-151002x1"></a>Options for the whole tree are given before the root node.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x13-151004x2"></a>Options for the root node are given directly to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation of the root.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x13-151006x3"></a>Options for all children can be given between the root node and the first child.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x13-151008x4"></a>Options applying to a specific child path are given as options to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x13-151010x5"></a>Options applying to the node of a child, but not to the whole child path, are given as options to the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> command inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt;</span>.</li></ol>
-<!--l. 284--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-277-" ><colgroup id="TBL-277-1g"><col
-id="TBL-277-1"></colgroup><tr
- valign="baseline" id="TBL-277-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-277-1-1"
-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;\path</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;</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;</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;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;whole</span><span
-class="cmsltt-10x-x-80">&nbsp;tree</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;node[...]</span><span
-class="cmtt-8">&nbsp;{root}</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;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;root</span><span
-class="cmsltt-10x-x-80">&nbsp;node</span><span
-class="cmsltt-10x-x-80">&nbsp;only</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;</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;</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;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;children</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;child[...]</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;child</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;its</span><span
-class="cmsltt-10x-x-80">&nbsp;children</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>
-<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;node[...]</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;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;child</span><span
-class="cmsltt-10x-x-80">&nbsp;node</span><span
-class="cmsltt-10x-x-80">&nbsp;only</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;...</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>
-<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;child[...]</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;child</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;its</span><span
-class="cmsltt-10x-x-80">&nbsp;children</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 300--><p class="indent"> There are additional styles that influence how children are rendered:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every child</span><a
- id="dx13-151011"></a><a
- id="dx13-151012"></a> This style is used at the beginning of each child, as if you had given the options
- to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every child node</span><a
- id="dx13-151013"></a><a
- id="dx13-151014"></a> This style is used at the beginning of each child node in addition to the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">every</span><span
-class="cmtt-10">&nbsp;node</span></span></span> style.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">level </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">number</span><span
-class="cmsy-10">&gt;</span><a
- id="dx13-151015"></a><a
- id="dx13-151016"></a> This style is used at the beginning of each set of children, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt; </span>is
- the current level in the current tree. For example, when you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\node</span><span
-class="cmtt-10">&nbsp;{x}</span><span
-class="cmtt-10">&nbsp;child</span><span
-class="cmtt-10">&nbsp;child;</span></span></span>, then the
- style <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">level</span><span
-class="cmtt-10">&nbsp;1</span></span></span> is used before the first <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. If this first <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> has children itself, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">level</span><span
-class="cmtt-10">&nbsp;2</span></span></span> would
- be used for them.
-
-
- <!--l. 315--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-278-" ><colgroup id="TBL-278-1g"><col
-id="TBL-278-1"><col
-id="TBL-278-2"></colgroup><tr
- valign="baseline" id="TBL-278-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-278-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-274.svg" width="105.85966 " height="123.62167 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-278-1-2"
-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;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=20mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=5mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;}</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;child</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 329--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.5 </span> <a
- id="x13-15200012.5"></a>Placing Child Nodes</h4>
-<!--l. 333--><p class="noindent">Perhaps the most difficult part in drawing a tree is the correct layout of the children. Typically, the children have
-different sizes and it is not easy to arrange them in such a manner that not too much space is wasted, the children
-do not overlap, and they are either evenly spaced or their centers are evenly distributed. Calculating good
-positions is especially difficult since a good position for the first child may depend on the size of the last
-child.
-<!--l. 341--><p class="indent"> In Ti<span
-class="cmti-10">k</span>Z, a comparatively simple approach is taken to placing the children. In order to compute a child&#8217;s position,
-all that is taken into account is the number of the current child in the list of children and the number of children in
-this list. Thus, if a node has five children, then there is a fixed position for the first child, a position for the second
-child, and so on. These positions <span
-class="cmti-10">do not depend on the size of the children </span>and, hence, children can easily overlap.
-However, since you can use options to shift individual children a bit, this is not as great a problem as it may
-seem.
-<!--l. 351--><p class="indent"> Although the placement of the children only depends on their number in the list of children and the total
-number of children, everything else about the placement is highly configurable. You can change the distance between
-children (appropriately called the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sibling</span><span
-class="cmtt-10">&nbsp;distance</span></span></span>) and the distance between levels of the tree. These distances
-may change from level to level. The direction in which the tree grows can be changed globally and for parts of the
-tree. You can even specify your own &#8220;growth function&#8221; to arrange children on a circle or along special lines or
-curves.
-<!--l. 361--><p class="indent"> The default growth function works as follows: Assume that we are given a node and five children. These children
-will be placed on a line with their centers (or, more generally, with their anchors) spaced apart by the current
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sibling</span><span
-class="cmtt-10">&nbsp;distance</span></span></span>. The line is orthogonal to the current <span
-class="cmti-10">direction of growth</span>, which is set with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grow</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grow'</span></span></span>
-option (the latter option reverses the ordering of the children). The distance from the line to the parent node is
-given by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">level</span><span
-class="cmtt-10">&nbsp;distance</span></span></span>.
-
-
-<!--l. 371--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-279-" ><colgroup id="TBL-279-1g"><col
-id="TBL-279-1"><col
-id="TBL-279-2"></colgroup><tr
- valign="baseline" id="TBL-279-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-279-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-275.svg" width="96.13918 " height="198.38356 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-279-1-2"
-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;\path</span><span
-class="cmtt-8">&nbsp;[help</span><span
-class="cmtt-8">&nbsp;lines]</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;node</span><span
-class="cmtt-8">&nbsp;(root)</span><span
-class="cmtt-8">&nbsp;{root}</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;[grow=-10]</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{1}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{2}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{3}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{4}};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[|&lt;-&gt;|,thick]</span><span
-class="cmtt-8">&nbsp;(root-1.center)</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;node[above,sloped]</span><span
-class="cmtt-8">&nbsp;{sibling</span><span
-class="cmtt-8">&nbsp;distance}</span><span
-class="cmtt-8">&nbsp;(root-2.center);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[|&lt;-&gt;|,thick]</span><span
-class="cmtt-8">&nbsp;(root.center)</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;node[above,sloped]</span><span
-class="cmtt-8">&nbsp;{level</span><span
-class="cmtt-8">&nbsp;distance}</span><span
-class="cmtt-8">&nbsp;+(-10:\tikzleveldistance);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 390--><p class="indent"> Here is a detailed description of the options:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">level distance</span><a
- id="dx13-152001"></a><a
- id="dx13-152002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt; </span>This option allows you to change the distance between different levels of
- the tree, more precisely, between the parent and the line on which its children are arranged. When
- given to a single child, this will set the distance for this child only.
- <!--l. 398--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-280-" ><colgroup id="TBL-280-1g"><col
-id="TBL-280-1"><col
-id="TBL-280-2"></colgroup><tr
- valign="baseline" id="TBL-280-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-280-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-276.svg" width="115.34392 " height="104.65324 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-280-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;[level</span><span
-class="cmtt-8">&nbsp;distance=20mm]</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;child</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;child</span><span
-class="cmtt-8">&nbsp;{</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;[level</span><span
-class="cmtt-8">&nbsp;distance=5mm]</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;child</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;child</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;child</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>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[level</span><span
-class="cmtt-8">&nbsp;distance=10mm];</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-281-" ><colgroup id="TBL-281-1g"><col
-id="TBL-281-1"><col
-id="TBL-281-2"></colgroup><tr
- valign="baseline" id="TBL-281-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-281-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-277.svg" width="115.34392 " height="85.68481 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-281-1-2"
-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;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[level</span><span
-class="cmtt-8">&nbsp;distance=10mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[level</span><span
-class="cmtt-8">&nbsp;distance=5mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</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;child</span><span
-class="cmtt-8">&nbsp;{</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;child</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;child[level</span><span
-class="cmtt-8">&nbsp;distance=10mm]</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;child</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>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">sibling distance</span><a
- id="dx13-152003"></a><a
- id="dx13-152004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt; </span>This option specifies the distance between the anchors of the children of a
- parent node.
- <!--l. 432--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-282-" ><colgroup id="TBL-282-1g"><col
-id="TBL-282-1"><col
-id="TBL-282-2"></colgroup><tr
- valign="baseline" id="TBL-282-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-282-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-278.svg" width="54.64487 " height="47.0575 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-282-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=4mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=8mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=4mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=2mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\coordinate</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;child</span><span
-class="cmtt-8">&nbsp;{</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;child</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</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;child</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</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>
-<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;child</span><span
-class="cmtt-8">&nbsp;{</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;child</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</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;child</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 449--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-283-" ><colgroup id="TBL-283-1g"><col
-id="TBL-283-1"><col
-id="TBL-283-2"></colgroup><tr
- valign="baseline" id="TBL-283-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-283-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-279.svg" width="141.32559 " height="131.84138 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-283-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=10mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill=red!60,circle,inner</span><span
-class="cmtt-8">&nbsp;sep=1pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=20mm,</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;set</span><span
-class="cmtt-8">&nbsp;style={{every</span><span
-class="cmtt-8">&nbsp;node}+=[fill=red!45]}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=10mm,</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;set</span><span
-class="cmtt-8">&nbsp;style={{every</span><span
-class="cmtt-8">&nbsp;node}+=[fill=red!30]}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=5mm,</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;set</span><span
-class="cmtt-8">&nbsp;style={{every</span><span
-class="cmtt-8">&nbsp;node}+=[fill=red!15]}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{31}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{30}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{20}</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;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{5}}</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;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{4}}</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>
-<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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{10}</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;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{9}}</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;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{1}}</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>
-<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>
-<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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{20}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{19}</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;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{1}}</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;</span><span
-class="cmtt-8">&nbsp;child[fill=none]</span><span
-class="cmtt-8">&nbsp;{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[draw=none]}</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>
-<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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{18}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">grow</span><a
- id="dx13-152005"></a><a
- id="dx13-152006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt; </span>This option is used to define the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt; </span>in which the tree will grow. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt; </span>can
- either be an angle in degrees or one of the following special text strings: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">down</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">up</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">left</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">right</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span>,
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">west</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;west</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;west</span></span></span>. All of these have &#8220;their obvious
- meaning,&#8221; so, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;west</span></span></span> is the same as the angle <span
-class="cmsy-10">-</span>135<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- <!--l. 488--><p class="noindent">As a side effect, this option installs the default growth function.
- <!--l. 490--><p class="noindent">In addition to setting the direction, this option also has a seemingly strange effect: It sets the sibling distance
- for the current level to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0pt</span></span></span>, but leaves the sibling distance for later levels unchanged.
- <!--l. 495--><p class="noindent">This somewhat strange behaviour has a highly desirable effect: If you give this option before the list of
- children of a node starts, the &#8220;current level&#8221; is still the parent level. Each child will be on a later level and,
- hence, the sibling distance will be as specified originally. This will cause the children to be neatly aligned in a
- line orthogonal to the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt;</span>. However, if you give this option locally to a single child,
- then &#8220;current level&#8221; will be the same as the child&#8217;s level. The zero sibling distance will then
- cause the child to be placed exactly at a point at distance <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">level</span><span
-class="cmtt-10">&nbsp;distance</span></span></span> in the direction
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt;</span>. However, the children of the child will be placed &#8220;normally&#8221; on a line orthogonal to the
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 508--><p class="noindent">These placement effects are best demonstrated by some examples:
- <!--l. 509--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-284-" ><colgroup id="TBL-284-1g"><col
-id="TBL-284-1"><col
-id="TBL-284-2"></colgroup><tr
- valign="baseline" id="TBL-284-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-284-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-280.svg" width="74.67142 " height="58.4386 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-284-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;[grow=right]</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 513--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-285-" ><colgroup id="TBL-285-1g"><col
-id="TBL-285-1"><col
-id="TBL-285-2"></colgroup><tr
- valign="baseline" id="TBL-285-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-285-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-281.svg" width="78.12334 " height="70.16837 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-285-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;[grow=south</span><span
-class="cmtt-8">&nbsp;west]</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 517--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-286-" ><colgroup id="TBL-286-1g"><col
-id="TBL-286-1"><col
-id="TBL-286-2"></colgroup><tr
- valign="baseline" id="TBL-286-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-286-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-282.svg" width="96.37538 " height="58.43861 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-286-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=10mm,sibling</span><span
-class="cmtt-8">&nbsp;distance=5mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;[grow=down]</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;child</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;child</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;child[grow=right]</span><span
-class="cmtt-8">&nbsp;{</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;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 529--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-287-" ><colgroup id="TBL-287-1g"><col
-id="TBL-287-1"><col
-id="TBL-287-2"></colgroup><tr
- valign="baseline" id="TBL-287-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-287-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-283.svg" width="99.88768 " height="103.19664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-287-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=2em]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{C}</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;child[grow=up]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</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;child[grow=left]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</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;child[grow=down]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</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;child[grow=right]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{C}</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;child[grow=up]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</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;child[grow=right]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</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;child[grow=down]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</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;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[double]</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;coordinate</span><span
-class="cmtt-8">&nbsp;(wrong)</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>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[&lt;-,red]</span><span
-class="cmtt-8">&nbsp;([yshift=-2mm]wrong)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[below]{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;wrong!};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--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-288-" ><colgroup id="TBL-288-1g"><col
-id="TBL-288-1"><col
-id="TBL-288-2"></colgroup><tr
- valign="baseline" id="TBL-288-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-288-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-284.svg" width="126.53557 " height="104.66489 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-288-1-2"
-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;\node[rectangle,draw]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{start</span><span
-class="cmtt-8">&nbsp;node};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[rectangle,draw]</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{end};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b)</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;node[coordinate,midway]</span><span
-class="cmtt-8">&nbsp;{}</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;child[grow=100,&lt;-]</span><span
-class="cmtt-8">&nbsp;{node[above]</span><span
-class="cmtt-8">&nbsp;{the</span><span
-class="cmtt-8">&nbsp;middle</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;here}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">grow'</span><a
- id="dx13-152007"></a><a
- id="dx13-152008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt; </span>This option has the same effect as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grow</span></span></span>, only the children are arranged in the opposite
- order.
- </li>
- <li class="itemize"><span
-class="cmtt-10">growth function</span><a
- id="dx13-152009"></a><a
- id="dx13-152010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt; </span>This rather low-level option allows you to set a new growth function. The
-
-
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt; </span>must be the name of a macro without parameters. This macro will be called for each child of a
- node.
- <!--l. 566--><p class="noindent">The effect of executing the macro should be the following: It should transform the coordinate system in such a
- way that the origin becomes the place where the current child should be anchored. When the macro is called,
- the current coordinate system will be setup such that the anchor of the parent node is in the origin. Thus, in
- each call, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt; </span>must essentially do a shift to the child&#8217;s origin. When the macro is called, the
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;counter <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikznumberofchildren</span></span></span> will be set to the total number of children of the parent
- node and the counter <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikznumberofcurrentchild</span></span></span> will be set to the number of the current
- child.
- <!--l. 577--><p class="noindent">The macro may, in addition to shifting the coordinate system, also transform the coordinate system further.
- For example, it could be rotated or scaled.
- <!--l. 581--><p class="noindent">Additional growth functions are defined in the library, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-17400014.6">14.6<!--tex4ht:ref: section-tree-library --></a>.</li></ul>
-<!--l. 587--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.6 </span> <a
- id="x13-15300012.6"></a>Edges From the Parent Node</h4>
-<!--l. 591--><p class="noindent">Every child node is connected to its parent node via a special kind of edge called the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span>. This edge
-is added to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>when the following path operation is encountered:
-<!--l. 595--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox93"><span id="textcolor94"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">edge from parent</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span>&nbsp;<span id="textcolor95">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx13-153001"></a>
-<a
- id="dx13-153002"></a>
- <!--l. 596--><p class="noindent">This path operation can only be used inside <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child paths</span><span
-class="cmsy-10">&gt; </span>and should be given at the end, possibly
- followed by node specifications (we will come to that). If a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>does not contain this operation,
- it will be added at the end of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>automatically.
- <!--l. 602--><p class="noindent">This operation has several effects. The most important is that it inserts the current &#8220;edge from parent path&#8221;
- into the child path. The edge from parent path can be set using the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">edge from parent path</span><a
- id="dx13-153003"></a><a
- id="dx13-153004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">path</span><span
-class="cmsy-10">&gt; </span>This options allows you to set the edge from parent path to a new path.
- The default for this path is the following:
- <!--l. 610--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-289-" ><colgroup id="TBL-289-1g"><col
-id="TBL-289-1"></colgroup><tr
- valign="baseline" id="TBL-289-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-289-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">(\tikzparentnode\tikzparentanchor)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\tikzchildnode\tikzchildanchor)</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></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 613--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzparentnode</span></span></span> is a macro that will expand to the name of the parent node. This works even
- when you have not assigned a name to the parent node, in this case an internal name is automatically
- generated. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzchildnode</span></span></span> is a macro that expands to the name of the child node. The two
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...anchor</span></span></span> macros are empty by default. So, what is essentially inserted is just the path segment
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(\tikzparentnode)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(\tikzchildnode)</span></span></span>; which is exactly an edge from the parent to the
- child.
- <!--l. 622--><p class="noindent">You can modify this edge from parent path to achieve all sorts of effects. For example, we could replace
- the straight line by a curve as follows:
-
-
- <!--l. 625--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-290-" ><colgroup id="TBL-290-1g"><col
-id="TBL-290-1"><col
-id="TBL-290-2"></colgroup><tr
- valign="baseline" id="TBL-290-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-290-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-285.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-290-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;path=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{(\tikzparentnode.south)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(0,-1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(0,1)</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;</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;</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;</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;(\tikzchildnode.north)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 638--><p class="noindent">Further useful edge from parent paths are defined in the tree library, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-17400014.6">14.6<!--tex4ht:ref: section-tree-library --></a>.
- <!--l. 641--><p class="noindent">As said before, the anchors in the default edge from parent path are empty. However, you can set them
- using the following options:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">child anchor</span><a
- id="dx13-153005"></a><a
- id="dx13-153006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>Specifies the anchor where the edge from parent meets the child
- node by setting the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzchildanchor</span></span></span> to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 649--><p class="noindent">If you specify <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span></span></span> as the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span>, then the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzchildanchor</span></span></span> is set to the empty string.
- The effect of this is that the edge from the parent will meet the child on the border at an
- automatically calculated position.
- <!--l. 653--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-291-" ><colgroup id="TBL-291-1g"><col
-id="TBL-291-1"><col
-id="TBL-291-2"></colgroup><tr
- valign="baseline" id="TBL-291-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-291-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-286.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-291-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;[child</span><span
-class="cmtt-8">&nbsp;anchor=north]</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[dashed]}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[draw=none]}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">parent anchor</span><a
- id="dx13-153007"></a><a
- id="dx13-153008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>This option works the same way as the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span><span
-class="cmtt-10">&nbsp;anchor</span></span></span>, only for the
- parent.</li></ul>
- </li></ul>
- <!--l. 670--><p class="noindent">Besides inserting the edge from parent path, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation has another effect: The
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are inserted directly before the edge from parent path and the following style is also installed prior
- to inserting the path:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent</span><a
- id="dx13-153009"></a><a
- id="dx13-153010"></a> This style is inserted right before the edge from parent path and before the
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are inserted. By default, it just draws the edge from parent, but you can use it to make the
- edge look different.
-
-
- <!--l. 680--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-292-" ><colgroup id="TBL-292-1g"><col
-id="TBL-292-1"><col
-id="TBL-292-2"></colgroup><tr
- valign="baseline" id="TBL-292-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-292-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-287.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-292-1-2"
-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;\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[draw,red,thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[dashed]}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[draw=none]}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- <!--l. 693--><p class="noindent">Note: The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>inserted before the edge from parent path is added <span
-class="cmti-10">apply to the whole child path</span>. Thus, it
- is not possible to, say, draw a circle in red as part of the child path and then have an edge to parent
- in blue. However, as always, the child node is a node and can be drawn in a totally different
- way.
- <!--l. 699--><p class="noindent">Finally, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation has one more effect: It causes all nodes <span
-class="cmti-10">following </span>the operation to be
- placed on the edge. This is the same effect as if you had added the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> option to all these nodes, see also
- Section&nbsp;<a
-href="pgfmanualse11.html#x12-14300011.6.1">11.6.1<!--tex4ht:ref: section-pos-option --></a>.
- <!--l. 704--><p class="noindent">As an example, consider the following code:
- <!--l. 705--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-293-" ><colgroup id="TBL-293-1g"><col
-id="TBL-293-1"></colgroup><tr
- valign="baseline" id="TBL-293-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-293-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\node</span><span
-class="cmtt-8">&nbsp;(root)</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;(child)</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;to</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{label}};</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 708--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;to</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation and the following <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation will, together, have the same effect as if we
- had said:
- <!--l. 710--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-294-" ><colgroup id="TBL-294-1g"><col
-id="TBL-294-1"></colgroup><tr
- valign="baseline" id="TBL-294-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-294-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">(root)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(child)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;[pos=0.5]</span><span
-class="cmtt-8">&nbsp;{label}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 714--><p class="noindent">Here is a more complicated example:
-
-
- <!--l. 715--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-295-" ><colgroup id="TBL-295-1g"><col
-id="TBL-295-1"><col
-id="TBL-295-2"></colgroup><tr
- valign="baseline" id="TBL-295-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-295-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-288.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-295-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{</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;node</span><span
-class="cmtt-8">&nbsp;{left}</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;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</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;node[left]</span><span
-class="cmtt-8">&nbsp;{a}</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;node[right]</span><span
-class="cmtt-8">&nbsp;{b}</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>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</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;node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{child}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{c}</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;}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</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;node[near</span><span
-class="cmtt-8">&nbsp;end]</span><span
-class="cmtt-8">&nbsp;{x}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse13.html" >next</a>] [<a
-href="pgfmanualse11.html" >prev</a>] [<a
-href="pgfmanualse11.html#tailpgfmanualse11.html" >prev-tail</a>] [<a
-href="pgfmanualse12.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse12.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse12.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse13.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse13.html
deleted file mode 100644
index 34f0f22a373..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse13.html
+++ /dev/null
@@ -1,1385 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>13 Transformations</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse12.html" >prev</a>] [<a
-href="pgfmanualse12.html#tailpgfmanualse12.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse13.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse13.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">13 </span> <a
- id="x14-15400013"></a>Transformations</h3>
-<!--l. 10--><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;has a powerful transformation mechanism that is similar to the transformation capabilities of <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>. The
-present section explains how you can access it in Ti<span
-class="cmti-10">k</span>Z.
-<!--l. 15--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">13.1 </span> <a
- id="x14-15500013.1"></a>The Different Coordinate Systems</h4>
-<!--l. 17--><p class="noindent">It is a long process from a coordinate like, say, (1<span
-class="cmmi-10">,</span>2) or (1cm<span
-class="cmmi-10">,</span>5<span
-class="cmmi-10">mathrm</span><span
-class="cmmi-10">pt</span>), to the position a point is finally placed
-on the display or paper. In order to find out where the point should go, it is constantly &#8220;transformed,&#8221;
-which means that it is mostly shifted around and possibly rotated, slanted, scaled, and otherwise
-mutilated.
-<!--l. 24--><p class="indent"> In detail, (at least) the following transformations are applied to a coordinate like (1<span
-class="cmmi-10">,</span>2) before a point on the
-screen is chosen:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x14-155002x1"></a><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;interprets a coordinate like (1<span
-class="cmmi-10">,</span>2) in its <span
-class="cmmi-10">xy</span>-coordinate system as &#8220;add the current <span
-class="cmmi-10">x</span>-vector once
- and the current <span
-class="cmmi-10">y</span>-vector twice to obtain the new point.&#8221;
- </li>
- <li class="enumerate" value="2"
-><a
- id="x14-155004x2"></a><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;applies its coordinate transformation matrix to the resulting coordinate. This yields the final
- position of the point inside the picture.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x14-155006x3"></a>The backend driver (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span>) adds transformation commands such the coordinate is
- shifted to the correct position in <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s page coordinate system.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x14-155008x4"></a><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>(or PostScript) apply the canvas transformation matrix to the point, which can once more change
- the position on the page.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x14-155010x5"></a>The viewer application or the printer applies the device transformation matrix to transform the
- coordinate to its final pixel coordinate on the screen or paper.</li></ol>
-<!--l. 49--><p class="indent"> In reality, the process is even more involved, but the above should give the idea: A point is constantly
-transformed by changes of the coordinate system.
-<!--l. 53--><p class="indent"> In Ti<span
-class="cmti-10">k</span>Z, you only have access to the first two coordinate systems: The <span
-class="cmmi-10">xy</span>-coordinate system and the coordinate
-transformation matrix (these will be explained later). <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;also allows you to change the canvas transformation
-matrix, but you have to use commands of the core layer directly to do so and you &#8220;better know what you
-are doing&#8221; when you do this. The moment you start modifying the canvas matrix, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;immediately
-looses track of all coordinates and shapes, anchors, and bounding box computations will no longer
-work.
-<!--l. 64--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">13.2 </span> <a
- id="x14-15600013.2"></a>The Xy- and Xyz-Coordinate Systems</h4>
-<!--l. 66--><p class="noindent">The first and easiest coordinate systems are <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 <span
-class="cmmi-10">xy</span>- and <span
-class="cmmi-10">xyz</span>-coordinate systems. The idea is very simple:
-Whenever you specify a coordinate like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,3)</span></span></span> this means 2<span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">x</span></sub> + 3<span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">y</span></sub>, where <span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">x</span></sub> is the current <span
-class="cmmi-10">x</span><span
-class="cmti-10">-vector </span>and <span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">y</span></sub> is the
-current <span
-class="cmmi-10">y</span><span
-class="cmti-10">-vector</span>. Similarly, the coordinate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,2,3)</span></span></span> means <span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">x</span></sub> + 2<span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">y</span></sub> + 3<span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">z</span></sub>.
-<!--l. 73--><p class="indent"> Unlike other packages, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does not insist that <span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">x</span></sub> actually has a <span
-class="cmmi-10">y</span>-component of 0, that is, that it is a
-horizontal vector. Instead, the <span
-class="cmmi-10">x</span>-vector can point anywhere you want. Naturally, <span
-class="cmti-10">normally </span>you will want the
-<span
-class="cmmi-10">x</span>-vector to point horizontally.
-
-
-<!--l. 79--><p class="indent"> One undesirable effect of this flexibility is that it is not possible to provide mixed coordinates as in (1<span
-class="cmmi-10">,</span>2pt). Life
-is hard.
-<!--l. 82--><p class="indent"> To change the <span
-class="cmmi-10">x</span>-, <span
-class="cmmi-10">y</span>-, and <span
-class="cmmi-10">z</span>-vectors, you can use the following options:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">x</span><a
- id="dx14-156001"></a><a
- id="dx14-156002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the <span
-class="cmmi-10">x</span>-vector of <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 <span
-class="cmmi-10">xyz</span>-coordinate system to point <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to the right,
- that is, to (<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmmi-10">,</span>0<span
-class="cmmi-10">pt</span>). The default is 1cm.
- <!--l. 91--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-296-" ><colgroup id="TBL-296-1g"><col
-id="TBL-296-1"><col
-id="TBL-296-2"></colgroup><tr
- valign="baseline" id="TBL-296-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-296-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-289.svg" width="77.40703 " height="5.32722 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-296-1-2"
-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</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[x=2cm,color=red]</span><span
-class="cmtt-8">&nbsp;(0,0.1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 98--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-297-" ><colgroup id="TBL-297-1g"><col
-id="TBL-297-1"><col
-id="TBL-297-2"></colgroup><tr
- valign="baseline" id="TBL-297-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-297-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-290.svg" width="115.34387 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-297-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[x=1.5cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,2);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 102--><p class="noindent">The last example shows that the size of steppings in grids, just like all other dimensions, are not affected by
- the <span
-class="cmmi-10">x</span>-vector. After all, the <span
-class="cmmi-10">x</span>-vector is only used to determine the coordinate of the upper right corner of the
- grid.
- </li>
- <li class="itemize"><span
-class="cmtt-10">x</span><a
- id="dx14-156003"></a><a
- id="dx14-156004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>Sets the <span
-class="cmmi-10">x</span>-vector of <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 <span
-class="cmmi-10">xyz</span>-coordinate system to the specified <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. If <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>
- contains a comma, it must be put in braces.
- <!--l. 111--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-298-" ><colgroup id="TBL-298-1g"><col
-id="TBL-298-1"><col
-id="TBL-298-2"></colgroup><tr
- valign="baseline" id="TBL-298-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-298-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-291.svg" width="77.40703 " height="20.50172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-298-1-2"
-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</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;</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[x={(2cm,0.5cm)},color=red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 118--><p class="noindent">You can use this, for example, to exchange the meaning of the <span
-class="cmmi-10">x</span>- and <span
-class="cmmi-10">y</span>-coordinate.
- <!--l. 121--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-299-" ><colgroup id="TBL-299-1g"><col
-id="TBL-299-1"><col
-id="TBL-299-2"></colgroup><tr
- valign="baseline" id="TBL-299-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-299-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-292.svg" width="123.23933 " height="123.23933 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-299-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[smooth]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates{(1,0)</span><span
-class="cmtt-8">&nbsp;(2,0.5)</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;(3,1)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[x={(0cm,1cm)},y={(1cm,0cm)},color=red]</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;plot</span><span
-class="cmtt-8">&nbsp;coordinates{(1,0)</span><span
-class="cmtt-8">&nbsp;(2,0.5)</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;(3,1)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">y</span><a
- id="dx14-156005"></a><a
- id="dx14-156006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>Works like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x=</span></span></span> option, only if <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>is a dimension, the resulting vector points to
- (0<span
-class="cmmi-10">,</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span>).
- </li>
- <li class="itemize"><span
-class="cmtt-10">z</span><a
- id="dx14-156007"></a><a
- id="dx14-156008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>Works like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">z=</span></span></span> option, but now a dimension is means the point (<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmmi-10">,</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span>).
-
-
- <!--l. 136--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-300-" ><colgroup id="TBL-300-1g"><col
-id="TBL-300-1"><col
-id="TBL-300-2"></colgroup><tr
- valign="baseline" id="TBL-300-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-300-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-293.svg" width="77.94034 " height="77.94034 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-300-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[z=-1cm,-&gt;,thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red]</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=blue]</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=orange]</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 147--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">13.3 </span> <a
- id="x14-15700013.3"></a>Coordinate Transformations</h4>
-<!--l. 149--><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;and Ti<span
-class="cmti-10">k</span>Z&nbsp;allow you to specify <span
-class="cmti-10">coordinate transformations</span>. Whenever you specify a coordinate as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,1pt)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:2cm)</span></span></span>, this coordinate is first &#8220;reduced&#8221; to a position of the form &#8220;<span
-class="cmmi-10">x </span>points to the right and <span
-class="cmmi-10">y</span>
-points upwards.&#8221; For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1in,5pt)</span></span></span> is reduced to &#8220;72<img
-src="pgfmanual22x.gif" alt="-72
-100" class="frac" align="middle"> points to the right and 5 points upwards&#8221; and
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(90:100pt)</span></span></span> means &#8220;0pt to the right and 100 points upwards.&#8221;
-<!--l. 157--><p class="indent"> The next step is to apply the current <span
-class="cmti-10">coordinate transformation matrix </span>to the coordinate. For example, the
-coordinate transformation matrix might currently be set such that it adds a certain constant to the <span
-class="cmmi-10">x </span>value. Also, it
-might be setup such that it, say, exchanges the <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">y </span>value. In general, any &#8220;standard&#8221; transformation like
-translation, rotation, slanting, or scaling or any combination thereof is possible. (Internally, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;keeps
-track of a coordinate transformation matrix very much like the concatenation matrix used by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>or
-PostScript.)
-<!--l. 167--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-301-" ><colgroup id="TBL-301-1g"><col
-id="TBL-301-1"><col
-id="TBL-301-2"></colgroup><tr
- valign="baseline" id="TBL-301-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-301-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-294.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-301-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[xshift=1cm]</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;\draw</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;</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;[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\draw[yshift=1cm]</span><span
-class="cmtt-8">&nbsp;[blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</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;\draw[rotate=30]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[orange]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 179--><p class="indent"> The most important aspect of the coordinate transformation matrix is <span
-class="cmti-10">that it applies to coordinates</span>
-<span
-class="cmti-10">only! </span>In particular, the coordinate transformation has no effect on things like the line width or the
-dash pattern or the shading angle. In certain cases, it is not immediately clear whether the coordinate
-transformation matrix <span
-class="cmti-10">should </span>apply to a certain dimension. For example, should the coordinate transformation
-matrix apply to grids? (It does.) And what about the size of arced corners? (It does not.) The general
-rule is &#8220;If there is no &#8216;coordinate&#8217; involved, even &#8216;indirectly,&#8217; the matrix is not applied.&#8221; However,
-sometimes, you simply have to try or look it up in the documentation whether the matrix will be
-applied.
-<!--l. 191--><p class="indent"> Setting the matrix cannot be done directly. Rather, all you can do is to &#8220;add&#8221; another transformation to the
-current matrix. However, all transformations are local to the current <span class="TEX">T<span
-class="E">E</span>X</span>-group. All transformations are added
-using graphic options, which are described below.
-<!--l. 197--><p class="indent"> Transformations apply immediately when they are encountered &#8220;in the middle of a path&#8221; and they apply only to
-the coordinates on the path following the transformation option.
-<!--l. 201--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-302-" ><colgroup id="TBL-302-1g"><col
-id="TBL-302-1"><col
-id="TBL-302-2"></colgroup><tr
- valign="baseline" id="TBL-302-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-302-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-295.svg" width="115.34387 " height="20.50172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-302-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5)</span><span
-class="cmtt-8">&nbsp;[xshift=2cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 205--><p class="indent"> A final word of warning: You should refrain from using &#8220;aggressive&#8221; transformations like a scaling of a factor of
-10000. The reason is that all transformations are done using <span class="TEX">T<span
-class="E">E</span>X</span>, which has a fairly low accuracy. Furthermore, in
-certain situations it is necessary that Ti<span
-class="cmti-10">k</span>Z&nbsp;<span
-class="cmti-10">inverts </span>the current transformation matrix and this will fail if the
-transformation matrix is badly conditioned or even singular (if you do not know what singular matrices are, you are
-
-
-blessed).
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">shift</span><a
- id="dx14-157001"></a><a
- id="dx14-157002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">={</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> adds the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>to all coordinates.
- <!--l. 216--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-303-" ><colgroup id="TBL-303-1g"><col
-id="TBL-303-1"><col
-id="TBL-303-2"></colgroup><tr
- valign="baseline" id="TBL-303-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-303-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-296.svg" width="115.21051 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-303-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(1,1)},blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(30:1cm)},red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">xshift</span><a
- id="dx14-157003"></a><a
- id="dx14-157004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>adds <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to the <span
-class="cmmi-10">x </span>value of all coordinates.
- <!--l. 227--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-304-" ><colgroup id="TBL-304-1g"><col
-id="TBL-304-1"><col
-id="TBL-304-2"></colgroup><tr
- valign="baseline" id="TBL-304-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-304-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-297.svg" width="128.67715 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-304-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=2cm,blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=-10pt,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">yshift</span><a
- id="dx14-157005"></a><a
- id="dx14-157006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>adds <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to the <span
-class="cmmi-10">y </span>value of all coordinates.
- </li>
- <li class="itemize"><span
-class="cmtt-10">scale</span><a
- id="dx14-157007"></a><a
- id="dx14-157008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>multiplies all coordinates by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>should not be excessively large in
- absolute terms or very near to zero.
- <!--l. 243--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-305-" ><colgroup id="TBL-305-1g"><col
-id="TBL-305-1"><col
-id="TBL-305-2"></colgroup><tr
- valign="baseline" id="TBL-305-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-305-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-298.svg" width="153.14735 " height="115.34386 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-305-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[scale=2,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[scale=-1,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">xscale</span><a
- id="dx14-157009"></a><a
- id="dx14-157010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>multiplies only the <span
-class="cmmi-10">x</span>-value of all coordinates by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>.
-
-
- <!--l. 255--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-306-" ><colgroup id="TBL-306-1g"><col
-id="TBL-306-1"><col
-id="TBL-306-2"></colgroup><tr
- valign="baseline" id="TBL-306-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-306-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-299.svg" width="153.14735 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-306-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xscale=2,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xscale=-1,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">yscale</span><a
- id="dx14-157011"></a><a
- id="dx14-157012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>multiplies only the <span
-class="cmmi-10">y</span>-value of all coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">xslant</span><a
- id="dx14-157013"></a><a
- id="dx14-157014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>slants the coordinate horizontally by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>:
- <!--l. 269--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-307-" ><colgroup id="TBL-307-1g"><col
-id="TBL-307-1"><col
-id="TBL-307-2"></colgroup><tr
- valign="baseline" id="TBL-307-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-307-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-300.svg" width="115.34386 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-307-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xslant=2,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xslant=-1,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">yslant</span><a
- id="dx14-157015"></a><a
- id="dx14-157016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>slants the coordinate vertically by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>:
- <!--l. 280--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-308-" ><colgroup id="TBL-308-1g"><col
-id="TBL-308-1"><col
-id="TBL-308-2"></colgroup><tr
- valign="baseline" id="TBL-308-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-308-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-301.svg" width="115.21051 " height="153.2807 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-308-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yslant=2,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yslant=-1,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">rotate</span><a
- id="dx14-157017"></a><a
- id="dx14-157018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt; </span>rotates the coordinate system by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span>:
- <!--l. 291--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-309-" ><colgroup id="TBL-309-1g"><col
-id="TBL-309-1"><col
-id="TBL-309-2"></colgroup><tr
- valign="baseline" id="TBL-309-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-309-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-302.svg" width="115.21051 " height="90.24904 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-309-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=40,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=-20,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">rotate around</span><a
- id="dx14-157019"></a><a
- id="dx14-157020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">={</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</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">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> rotates the coordinate system by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt; </span>around the point
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 303--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-310-" ><colgroup id="TBL-310-1g"><col
-id="TBL-310-1"><col
-id="TBL-310-2"></colgroup><tr
- valign="baseline" id="TBL-310-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-310-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-303.svg" width="125.89818 " height="92.78334 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-310-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate</span><span
-class="cmtt-8">&nbsp;around={40:(1,1)},blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate</span><span
-class="cmtt-8">&nbsp;around={-20:(1,1)},red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">cm</span><a
- id="dx14-157021"></a><a
- id="dx14-157022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">={</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">a</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="cmmi-10">b</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="cmmi-10">c</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="cmmi-10">d</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">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> applies the following transformation to all coordinates: Let (<span
-class="cmmi-10">x,y</span>) be the
- coordinate to be transformed and let <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>specify the point (<span
-class="cmmi-10">t</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmmi-10">,t</span><sub ><span
-class="cmmi-7">y</span></sub>). Then the new coordinate is given
- by <img
-src="pgfmanual23x.gif" alt="(a b)
- c d" class="left" align="middle"><img
-src="pgfmanual24x.gif" alt=" x
-(y)" class="left" align="middle"> + <img
-src="pgfmanual25x.gif" alt="(tx)
- ty" class="left" align="middle">. Usually, you do not use this option directly.
- <!--l. 321--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-311-" ><colgroup id="TBL-311-1g"><col
-id="TBL-311-1"><col
-id="TBL-311-2"></colgroup><tr
- valign="baseline" id="TBL-311-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-311-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-304.svg" width="115.21051 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-311-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[cm={1,1,0,1,(0,0)},blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[cm={0,1,1,0,(1cm,1cm)},red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">reset cm</span><a
- id="dx14-157023"></a><a
- id="dx14-157024"></a> completely resets the coordinate transformation matrix to the identity matrix. This will destroy not
- only the transformations applied in the current scope, but also all transformations inherited from surrounding
- scopes. Do not use this option.</li></ul>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse12.html" >prev</a>] [<a
-href="pgfmanualse12.html#tailpgfmanualse12.html" >prev-tail</a>] [<a
-href="pgfmanualse13.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse13.html" >up</a>] </p></div>
-<!--l. 181--><p class="indent"> <a
- id="tailpgfmanualse13.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse14.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse14.html
deleted file mode 100644
index 269a0bd0738..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse14.html
+++ /dev/null
@@ -1,3886 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>14 Libraries</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse15.html" >next</a>] [<a
-href="#tailpgfmanualse14.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse14.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">14 </span> <a
- id="x15-15900014"></a>Libraries</h3>
-<!--l. 10--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.1 </span> <a
- id="x15-16000014.1"></a>Arrow Tip Library</h4>
-<!--l. 13--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox96"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryarrows</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-160001"></a>
-<a
- id="dx15-160002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox97"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryarrows</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox98"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryarrows</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 14--><p class="noindent">The package defines additional arrow tips, which are described below. See page&nbsp;<a
-href="pgfmanualse24.html#x25-25900024.5">295<!--tex4ht:ref: section-pos-option --></a> for the arrows tips
- that are defined by default. Note that neither the standard packages nor this package defines an arrow
- name containing <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;</span></span></span>. These are left for the user to defined as he or she sees fit. </dd></dl>
-<!--l. 21--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.1 </span> <a
- id="x15-16100014.1.1"></a>Triangular Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-313-" ><colgroup id="TBL-313-1g"><col
-id="TBL-313-1"><col
-id="TBL-313-2"></colgroup><tr
- valign="baseline" id="TBL-313-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-1-1"
-class="td11"> <a
- id="dx15-161001"></a><a
- id="dx15-161002"></a> <span
-class="cmtt-10">latex' </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-1-2"
-class="td11"> yields thick <object data="pgfmanual-306.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-307.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-2-1"
-class="td11"> <a
- id="dx15-161003"></a><a
- id="dx15-161004"></a> <span
-class="cmtt-10">latex' reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-2-2"
-class="td11"> yields thick <object data="pgfmanual-308.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-309.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-3-1"
-class="td11"> <a
- id="dx15-161005"></a><a
- id="dx15-161006"></a> <span
-class="cmtt-10">stealth' </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-3-2"
-class="td11"> yields thick <object data="pgfmanual-310.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-311.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-4-1"
-class="td11"> <a
- id="dx15-161007"></a><a
- id="dx15-161008"></a> <span
-class="cmtt-10">stealth' reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-4-2"
-class="td11"> yields thick <object data="pgfmanual-312.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-313.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-5-1"
-class="td11"> <a
- id="dx15-161009"></a><a
- id="dx15-161010"></a> <span
-class="cmtt-10">triangle 90 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-5-2"
-class="td11"> yields thick <object data="pgfmanual-314.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-315.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-6-1"
-class="td11"> <a
- id="dx15-161011"></a><a
- id="dx15-161012"></a> <span
-class="cmtt-10">triangle 90 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-6-2"
-class="td11"> yields thick <object data="pgfmanual-316.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-317.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-7-1"
-class="td11"> <a
- id="dx15-161013"></a><a
- id="dx15-161014"></a> <span
-class="cmtt-10">triangle 60 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-7-2"
-class="td11"> yields thick <object data="pgfmanual-318.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-319.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-8-1"
-class="td11"> <a
- id="dx15-161015"></a><a
- id="dx15-161016"></a> <span
-class="cmtt-10">triangle 60 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-8-2"
-class="td11"> yields thick <object data="pgfmanual-320.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-321.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-9-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-9-1"
-class="td11"> <a
- id="dx15-161017"></a><a
- id="dx15-161018"></a> <span
-class="cmtt-10">triangle 45 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-9-2"
-class="td11"> yields thick <object data="pgfmanual-322.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-323.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-10-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-10-1"
-class="td11"> <a
- id="dx15-161019"></a><a
- id="dx15-161020"></a> <span
-class="cmtt-10">triangle 45 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-10-2"
-class="td11"> yields thick <object data="pgfmanual-324.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-325.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-11-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-11-1"
-class="td11"> <a
- id="dx15-161021"></a><a
- id="dx15-161022"></a> <span
-class="cmtt-10">open triangle 90 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-11-2"
-class="td11"> yields thick <object data="pgfmanual-326.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-327.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-12-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-12-1"
-class="td11"> <a
- id="dx15-161023"></a><a
- id="dx15-161024"></a> <span
-class="cmtt-10">open triangle 90 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-12-2"
-class="td11"> yields thick <object data="pgfmanual-328.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-329.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-13-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-13-1"
-class="td11"> <a
- id="dx15-161025"></a><a
- id="dx15-161026"></a> <span
-class="cmtt-10">open triangle 60 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-13-2"
-class="td11"> yields thick <object data="pgfmanual-330.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-331.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-14-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-14-1"
-class="td11"> <a
- id="dx15-161027"></a><a
- id="dx15-161028"></a> <span
-class="cmtt-10">open triangle 60 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-14-2"
-class="td11"> yields thick <object data="pgfmanual-332.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-333.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-15-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-15-1"
-class="td11"> <a
- id="dx15-161029"></a><a
- id="dx15-161030"></a> <span
-class="cmtt-10">open triangle 45 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-15-2"
-class="td11"> yields thick <object data="pgfmanual-334.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-335.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-16-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-16-1"
-class="td11"> <a
- id="dx15-161031"></a><a
- id="dx15-161032"></a> <span
-class="cmtt-10">open triangle 45 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-16-2"
-class="td11"> yields thick <object data="pgfmanual-336.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-337.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-17-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-17-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 42--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.2 </span> <a
- id="x15-16200014.1.2"></a>Barbed Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-314-" ><colgroup id="TBL-314-1g"><col
-id="TBL-314-1"><col
-id="TBL-314-2"></colgroup><tr
- valign="baseline" id="TBL-314-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-1-1"
-class="td11"> <a
- id="dx15-162001"></a><a
- id="dx15-162002"></a> <span
-class="cmtt-10">angle 90 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-1-2"
-class="td11"> yields thick <object data="pgfmanual-338.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-339.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-2-1"
-class="td11"> <a
- id="dx15-162003"></a><a
- id="dx15-162004"></a> <span
-class="cmtt-10">angle 90 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-2-2"
-class="td11"> yields thick <object data="pgfmanual-340.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-341.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-3-1"
-class="td11"> <a
- id="dx15-162005"></a><a
- id="dx15-162006"></a> <span
-class="cmtt-10">angle 60 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-3-2"
-class="td11"> yields thick <object data="pgfmanual-342.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-343.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-4-1"
-class="td11"> <a
- id="dx15-162007"></a><a
- id="dx15-162008"></a> <span
-class="cmtt-10">angle 60 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-4-2"
-class="td11"> yields thick <object data="pgfmanual-344.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-345.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-5-1"
-class="td11"> <a
- id="dx15-162009"></a><a
- id="dx15-162010"></a> <span
-class="cmtt-10">angle 45 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-5-2"
-class="td11"> yields thick <object data="pgfmanual-346.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-347.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-6-1"
-class="td11"> <a
- id="dx15-162011"></a><a
- id="dx15-162012"></a> <span
-class="cmtt-10">angle 45 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-6-2"
-class="td11"> yields thick <object data="pgfmanual-348.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-349.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-7-1"
-class="td11"> <a
- id="dx15-162013"></a><a
- id="dx15-162014"></a> <span
-class="cmtt-10">hooks </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-7-2"
-class="td11"> yields thick <object data="pgfmanual-350.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-351.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-8-1"
-class="td11"> <a
- id="dx15-162015"></a><a
- id="dx15-162016"></a> <span
-class="cmtt-10">hooks reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-8-2"
-class="td11"> yields thick <object data="pgfmanual-352.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-353.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-9-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-9-1"
-class="td11"> </td> </tr></table>
-</div>
-
-
-<!--l. 56--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.3 </span> <a
- id="x15-16300014.1.3"></a>Bracket-Like Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-315-" ><colgroup id="TBL-315-1g"><col
-id="TBL-315-1"><col
-id="TBL-315-2"></colgroup><tr
- valign="baseline" id="TBL-315-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-1-1"
-class="td11"> <a
- id="dx15-163001"></a><a
- id="dx15-163002"></a> <a
- id="dx15-163003"></a><a
- id="dx15-163004"></a> <span
-class="cmtt-10">[-] </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-1-2"
-class="td11"> yields thick <object data="pgfmanual-354.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-355.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-315-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-2-1"
-class="td11"> <a
- id="dx15-163005"></a><a
- id="dx15-163006"></a> <a
- id="dx15-163007"></a><a
- id="dx15-163008"></a> <span
-class="cmtt-10">]-[ </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-2-2"
-class="td11"> yields thick <object data="pgfmanual-356.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-357.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-315-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-3-1"
-class="td11"> <a
- id="dx15-163009"></a><a
- id="dx15-163010"></a> <a
- id="dx15-163011"></a><a
- id="dx15-163012"></a> <span
-class="cmtt-10">(-) </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-3-2"
-class="td11"> yields thick <object data="pgfmanual-358.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-359.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-315-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-4-1"
-class="td11"> <a
- id="dx15-163013"></a><a
- id="dx15-163014"></a> <a
- id="dx15-163015"></a><a
- id="dx15-163016"></a> <span
-class="cmtt-10">)-( </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-4-2"
-class="td11"> yields thick <object data="pgfmanual-360.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-361.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td> </tr></table>
-</div>
-<!--l. 65--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.4 </span> <a
- id="x15-16400014.1.4"></a>Circle and Diamond Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-316-" ><colgroup id="TBL-316-1g"><col
-id="TBL-316-1"><col
-id="TBL-316-2"></colgroup><tr
- valign="baseline" id="TBL-316-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-1-1"
-class="td11"> <a
- id="dx15-164001"></a><a
- id="dx15-164002"></a> <span
-class="cmtt-10">o </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-1-2"
-class="td11"> yields thick <object data="pgfmanual-362.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-363.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-316-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-2-1"
-class="td11"> <a
- id="dx15-164003"></a><a
- id="dx15-164004"></a> <span
-class="cmtt-10">* </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-2-2"
-class="td11"> yields thick <object data="pgfmanual-364.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-365.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-316-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-3-1"
-class="td11"> <a
- id="dx15-164005"></a><a
- id="dx15-164006"></a> <span
-class="cmtt-10">diamond </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-3-2"
-class="td11"> yields thick <object data="pgfmanual-366.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-367.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-316-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-4-1"
-class="td11"> <a
- id="dx15-164007"></a><a
- id="dx15-164008"></a> <span
-class="cmtt-10">open diamond </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-4-2"
-class="td11"> yields thick <object data="pgfmanual-368.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-369.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-316-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-5-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 76--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.5 </span> <a
- id="x15-16500014.1.5"></a>Partial Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-317-" ><colgroup id="TBL-317-1g"><col
-id="TBL-317-1"><col
-id="TBL-317-2"></colgroup><tr
- valign="baseline" id="TBL-317-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-1-1"
-class="td11"> <a
- id="dx15-165001"></a><a
- id="dx15-165002"></a> <span
-class="cmtt-10">left to </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-1-2"
-class="td11"> yields thick <object data="pgfmanual-370.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-371.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-2-1"
-class="td11"> <a
- id="dx15-165003"></a><a
- id="dx15-165004"></a> <span
-class="cmtt-10">left to reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-2-2"
-class="td11"> yields thick <object data="pgfmanual-372.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-373.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-3-1"
-class="td11"> <a
- id="dx15-165005"></a><a
- id="dx15-165006"></a> <span
-class="cmtt-10">right to </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-3-2"
-class="td11"> yields thick <object data="pgfmanual-374.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-375.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-4-1"
-class="td11"> <a
- id="dx15-165007"></a><a
- id="dx15-165008"></a> <span
-class="cmtt-10">right to reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-4-2"
-class="td11"> yields thick <object data="pgfmanual-376.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-377.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-5-1"
-class="td11"> <a
- id="dx15-165009"></a><a
- id="dx15-165010"></a> <span
-class="cmtt-10">left hook </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-5-2"
-class="td11"> yields thick <object data="pgfmanual-378.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-379.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-6-1"
-class="td11"> <a
- id="dx15-165011"></a><a
- id="dx15-165012"></a> <span
-class="cmtt-10">left hook reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-6-2"
-class="td11"> yields thick <object data="pgfmanual-380.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-381.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-7-1"
-class="td11"> <a
- id="dx15-165013"></a><a
- id="dx15-165014"></a> <span
-class="cmtt-10">right hook </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-7-2"
-class="td11"> yields thick <object data="pgfmanual-382.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-383.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-8-1"
-class="td11"> <a
- id="dx15-165015"></a><a
- id="dx15-165016"></a> <span
-class="cmtt-10">right hook reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-8-2"
-class="td11"> yields thick <object data="pgfmanual-384.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-385.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td> </tr></table>
-</div>
-<!--l. 90--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.6 </span> <a
- id="x15-16600014.1.6"></a>Line Caps</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-318-" ><colgroup id="TBL-318-1g"><col
-id="TBL-318-1"><col
-id="TBL-318-2"></colgroup><tr
- valign="baseline" id="TBL-318-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-1-1"
-class="td11"> <a
- id="dx15-166001"></a><a
- id="dx15-166002"></a> <span
-class="cmtt-10">round cap </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-1-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-386.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-2-1"
-class="td11"> <a
- id="dx15-166003"></a><a
- id="dx15-166004"></a> <span
-class="cmtt-10">butt cap </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-2-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-387.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-3-1"
-class="td11"> <a
- id="dx15-166005"></a><a
- id="dx15-166006"></a> <span
-class="cmtt-10">triangle 90 cap </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-3-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-388.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-4-1"
-class="td11"> <a
- id="dx15-166007"></a><a
- id="dx15-166008"></a> <span
-class="cmtt-10">triangle 90 cap reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-4-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-389.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-5-1"
-class="td11"> <a
- id="dx15-166009"></a><a
- id="dx15-166010"></a> <span
-class="cmtt-10">fast cap </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-5-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-390.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-6-1"
-class="td11"> <a
- id="dx15-166011"></a><a
- id="dx15-166012"></a> <span
-class="cmtt-10">fast cap reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-6-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-391.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-7-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 102--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.2 </span> <a
- id="x15-16700014.2"></a>Snake Library</h4>
-<!--l. 106--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox99"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibrarysnakes</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-167001"></a>
-<a
- id="dx15-167002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox100"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarysnakes</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox101"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarysnakes</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 107--><p class="noindent">This library package defines basic snakes. Section&nbsp;<a
-href="pgfmanualse9.html#x10-1020009.2.3">9.2.3<!--tex4ht:ref: section-tikz-snakes --></a> explains how snakes are used in Ti<span
-class="cmti-10">k</span>Z,
- Section&nbsp;<a
-href="pgfmanualse22.html#x23-22900022">22<!--tex4ht:ref: section-base-snakes --></a> explains how new snakes can be defined.
-
-
- <!--l. 112--><p class="noindent">The snakes are influenced by the current values of parameters like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span>. Only
- this parameter and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> are proper <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions, all other parameters are
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;macros.
- <!--l. 117--><p class="noindent">In Ti<span
-class="cmti-10">k</span>Z, each parameter can be set using an option having the parameters name minus the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnake</span></span></span>
- part. </dd></dl>
-<!--l. 122--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox102">Snake <span
-class="cmtt-10">border</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167003"></a>
-<a
- id="dx15-167004"></a>
- <!--l. 123--><p class="noindent">This snake adds straight lines the path that are at a specific angle to the line toward the target. The idea is to
- add these little lines to indicate the &#8220;border&#8221; or an area. The following parameters influence the
- snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive ticks.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines the length of the ticks.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentangle</span></span></span> determines the angle between the ticks and the line toward the target.</li></ul>
- <!--l. 136--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-319-" ><colgroup id="TBL-319-1g"><col
-id="TBL-319-1"><col
-id="TBL-319-2"></colgroup><tr
- valign="baseline" id="TBL-319-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-319-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-392.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-319-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=border,segment</span><span
-class="cmtt-8">&nbsp;angle=-45]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,1);}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 143--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox103">Snake <span
-class="cmtt-10">brace</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167005"></a>
-<a
- id="dx15-167006"></a>
- <!--l. 144--><p class="noindent">This snake adds a long brace to the path. The left and right end of the brace will be exactly on the start and
- endpoint of the snake. The following parameters influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines how much the brace rises above the path.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentaspect</span></span></span> determines the fraction of the total length where the &#8220;middle part&#8221; of
- the brace will be.</li></ul>
- <!--l. 154--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-320-" ><colgroup id="TBL-320-1g"><col
-id="TBL-320-1"><col
-id="TBL-320-2"></colgroup><tr
- valign="baseline" id="TBL-320-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-320-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-393.svg" width="114.90073 " height="4.86664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-320-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=brace,segment</span><span
-class="cmtt-8">&nbsp;aspect=0.25]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 159--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox104">Snake <span
-class="cmtt-10">bumps</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167007"></a>
-<a
- id="dx15-167008"></a>
- <!--l. 160--><p class="noindent">This snake consists of little half ellipses. The following parameters influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines the height of the half ellipse.
-
-
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the width of the half ellipse.</li></ul>
- <!--l. 168--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-321-" ><colgroup id="TBL-321-1g"><col
-id="TBL-321-1"><col
-id="TBL-321-2"></colgroup><tr
- valign="baseline" id="TBL-321-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-321-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-394.svg" width="114.90073 " height="4.86664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-321-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=bumps]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 174--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox105">Snake <span
-class="cmtt-10">coil</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167009"></a>
-<a
- id="dx15-167010"></a>
- <!--l. 175--><p class="noindent">This snake adds a coil to the path. To understand how this works, imagine a three-dimensional spring. The
- spring&#8217;s axis points along the line toward the target. Then, we &#8220;view&#8221; the spring from a certain angle. If we
- look &#8220;straight from the side&#8221; we will see a perfect sine curve, if we look &#8220;more from the front&#8221; we will see a
- coil. The following parameters influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines how much the coil rises above the path and falls below
- it. Thus, this is the radius of the coil.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between two consecutive &#8220;curls.&#8221; Thus, when
- the spring is see &#8220;from the side&#8221; this will be the wave length of the sine curve.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentaspect</span></span></span> determines the &#8220;viewing direction.&#8221; A value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> means &#8220;looking from
- the side&#8221; and a value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span>, which is the default, means &#8220;look more from the front.&#8221;</li></ul>
- <!--l. 194--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-322-" ><colgroup id="TBL-322-1g"><col
-id="TBL-322-1"><col
-id="TBL-322-2"></colgroup><tr
- valign="baseline" id="TBL-322-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-322-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-395.svg" width="114.90073 " height="66.13673 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-322-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[segment</span><span
-class="cmtt-8">&nbsp;amplitude=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil]</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;aspect=0]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 203--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox106">Snake <span
-class="cmtt-10">expanding waves</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167011"></a>
-<a
- id="dx15-167012"></a>
- <!--l. 204--><p class="noindent">This snake adds arcs to the path that get bigger along the line towards the target. The following parameters
- influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive arcs.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentangle</span></span></span> determines the opening angle below and above the path. Thus, the total
- opening angle is twice this angle.</li></ul>
-
-
- <!--l. 213--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-323-" ><colgroup id="TBL-323-1g"><col
-id="TBL-323-1"><col
-id="TBL-323-2"></colgroup><tr
- valign="baseline" id="TBL-323-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-323-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-396.svg" width="118.81558 " height="152.38235 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-323-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 219--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox107">Snake <span
-class="cmtt-10">saw</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167013"></a>
-<a
- id="dx15-167014"></a>
- <!--l. 220--><p class="noindent">This snake looks like the blade of a saw. The following parameters influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines how much each spike raises above the straight line.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the length each spike.</li></ul>
- <!--l. 228--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-324-" ><colgroup id="TBL-324-1g"><col
-id="TBL-324-1"><col
-id="TBL-324-2"></colgroup><tr
- valign="baseline" id="TBL-324-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-324-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-397.svg" width="114.90073 " height="4.86664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-324-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=saw]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 234--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox108">Snake <span
-class="cmtt-10">snake</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167015"></a>
-<a
- id="dx15-167016"></a>
- <!--l. 235--><p class="noindent">This snake is the &#8220;architypical&#8221; snake: It looks like a snake seen from above. More precisely, the
- snake is a sine wave with a &#8220;softened&#8221; start and ending. The following parameters influence the
- snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines the sine wave&#8217;s amplitude.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the sine wave&#8217;s wave length.</li></ul>
- <!--l. 245--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-325-" ><colgroup id="TBL-325-1g"><col
-id="TBL-325-1"><col
-id="TBL-325-2"></colgroup><tr
- valign="baseline" id="TBL-325-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-325-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-398.svg" width="114.90073 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-325-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=snake]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 251--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox109">Snake <span
-class="cmtt-10">ticks</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167017"></a>
-<a
- id="dx15-167018"></a>
- <!--l. 252--><p class="noindent">This snake adds straight lines the path that are orthogonal to the line toward the target. The following
- parameters influence the snake:
-
-
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive ticks.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines half the length of the ticks.</li></ul>
- <!--l. 260--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-326-" ><colgroup id="TBL-326-1g"><col
-id="TBL-326-1"><col
-id="TBL-326-2"></colgroup><tr
- valign="baseline" id="TBL-326-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-326-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-399.svg" width="114.90073 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-326-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=ticks]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 264--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox110">Snake <span
-class="cmtt-10">triangles</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167019"></a>
-<a
- id="dx15-167020"></a>
- <!--l. 265--><p class="noindent">This snake adds triangles to the path that point toward the target. The following parameters influence the
- snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive triangles.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines half the length of the triangle side that is orthogonal
- to the path.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentobjectlength</span></span></span> determines the height of the triangle.</li></ul>
- <!--l. 276--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-327-" ><colgroup id="TBL-327-1g"><col
-id="TBL-327-1"><col
-id="TBL-327-2"></colgroup><tr
- valign="baseline" id="TBL-327-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-327-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-400.svg" width="114.90073 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-327-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=triangles]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 282--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox111">Snake <span
-class="cmtt-10">waves</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167021"></a>
-<a
- id="dx15-167022"></a>
- <!--l. 283--><p class="noindent">This snake adds arcs to the path that have a constant size. The following parameters influence the
- snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive arcs.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentangle</span></span></span> determines the opening angle below and above the path. Thus, the total
- opening angle is twice this angle.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines the radius of each arc.</li></ul>
- <!--l. 294--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-328-" ><colgroup id="TBL-328-1g"><col
-id="TBL-328-1"><col
-id="TBL-328-2"></colgroup><tr
- valign="baseline" id="TBL-328-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-328-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-401.svg" width="114.90073 " height="6.24733 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-328-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=waves]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 300--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox112">Snake <span
-class="cmtt-10">zigzag</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167023"></a>
-<a
- id="dx15-167024"></a>
- <!--l. 301--><p class="noindent">This snake looks like a zig-zag line. The following parameters influence the snake:
-
-
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines how much the zig-zag lines raises above and falls below
- a straight line to the target point.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the length of a complete &#8220;up-down&#8221; cycle.</li></ul>
- <!--l. 310--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-329-" ><colgroup id="TBL-329-1g"><col
-id="TBL-329-1"><col
-id="TBL-329-2"></colgroup><tr
- valign="baseline" id="TBL-329-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-329-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-402.svg" width="114.90073 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-329-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 317--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.3 </span> <a
- id="x15-16800014.3"></a>Plot Handler Library</h4>
-<!--l. 320--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox113"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryplothandlers</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-168001"></a>
-<a
- id="dx15-168002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox114"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryplothandlers</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox115"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryplothandlers</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 321--><p class="noindent">This library packages defines additional plot handlers, see Section&nbsp;<a
-href="pgfmanualse29.html#x30-29700029.3">29.3<!--tex4ht:ref: section-plot-handlers --></a> for an introduction to plot
- handlers. The additional handlers are described in the following. </dd></dl>
-<!--l. 327--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.3.1 </span> <a
- id="x15-16900014.3.1"></a>Curve Plot Handlers</h5>
-<!--l. 329--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox116"><span
-class="cmtt-10">\pgfplothandlercurveto</span></span> </dt><dd
-class="description">
-<a
- id="dx15-169001"></a>
- <!--l. 330--><p class="noindent">This handler will issue a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathcurveto</span></span></span> command for each point of the plot, <span
-class="cmti-10">except </span>possibly
- for the first. As for the line-to handler, what happens with the first point can be specified using
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetmovetofirstplotpoint</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetlinetofirstplotpoint</span></span></span>.
- <!--l. 335--><p class="noindent">Obviously, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathcurveto</span></span></span> command needs, in addition to the points on the path, some control points.
- These are generated automatically using a somewhat &#8220;dumb&#8221; algorithm: Suppose you have three points <span
-class="cmmi-10">x</span>, <span
-class="cmmi-10">y</span>,
- and <span
-class="cmmi-10">z </span>on the curve such that <span
-class="cmmi-10">y </span>is between <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">z</span>:
- <!--l. 340--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-330-" ><colgroup id="TBL-330-1g"><col
-id="TBL-330-1"><col
-id="TBL-330-2"></colgroup><tr
- valign="baseline" id="TBL-330-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-330-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-403.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-330-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlercurveto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 353--><p class="noindent">In order to determine the control points of the curve at the point <span
-class="cmmi-10">y</span>, the handler computes the vector <span
-class="cmmi-10">z </span><span
-class="cmsy-10">- </span><span
-class="cmmi-10">x</span>
- and scales it by the tension factor (see below). Let us call the resulting vector <span
-class="cmmi-10">s</span>. Then <span
-class="cmmi-10">y </span>+ <span
-class="cmmi-10">s</span>
- and <span
-class="cmmi-10">y </span><span
-class="cmsy-10">- </span><span
-class="cmmi-10">s </span>will be the control points around <span
-class="cmmi-10">y</span>. The first control point at the beginning of the
- curve will be the beginning itself, once more; likewise the last control point is the end itself.
- </dd></dl>
-<!--l. 362--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox117"><span
-class="cmtt-10">\pgfsetplottension</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-169002"></a>
- <!--l. 363--><p class="noindent">Sets the factor used by the curve plot handlers to determine the distance of the control points from
- the points they control. The higher the curvature of the curve points, the higher this value should be.
- A value of 1 will cause four points at quarter positions of a circle to be connected using a circle. The
- default is 0<span
-class="cmmi-10">.</span>5.
- <!--l. 370--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-331-" ><colgroup id="TBL-331-1g"><col
-id="TBL-331-1"><col
-id="TBL-331-2"></colgroup><tr
- valign="baseline" id="TBL-331-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-331-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-404.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-331-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetplottension{0.75}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlercurveto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 386--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox118"><span
-class="cmtt-10">\pgfplothandlerclosedcurve</span></span> </dt><dd
-class="description">
-<a
- id="dx15-169003"></a>
- <!--l. 387--><p class="noindent">This handler works like the curve-to plot handler, only it will add a new part to the current path that is a
- closed curve through the plot points.
- <!--l. 390--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-332-" ><colgroup id="TBL-332-1g"><col
-id="TBL-332-1"><col
-id="TBL-332-2"></colgroup><tr
- valign="baseline" id="TBL-332-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-332-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-405.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-332-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerclosedcurve</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 405--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.3.2 </span> <a
- id="x15-17000014.3.2"></a>Comb Plot Handlers</h5>
-<!--l. 407--><p class="noindent">There are three &#8220;comb&#8221; plot handlers. There name stems from the fact that the plots they produce look like
-&#8220;combs&#8221; (more or less).
-<!--l. 410--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox119"><span
-class="cmtt-10">\pgfplothandlerxcomb</span></span> </dt><dd
-class="description">
-<a
- id="dx15-170001"></a>
- <!--l. 411--><p class="noindent">This handler converts each point in the plot stream into a line from the <span
-class="cmmi-10">y</span>-axis to the point&#8217;s coordinate,
- resulting in a &#8220;horizontal comb.&#8221;
- <!--l. 416--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-333-" ><colgroup id="TBL-333-1g"><col
-id="TBL-333-1"><col
-id="TBL-333-2"></colgroup><tr
- valign="baseline" id="TBL-333-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-333-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-406.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-333-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerxcomb</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 431--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox120"><span
-class="cmtt-10">\pgfplothandlerycomb</span></span> </dt><dd
-class="description">
-<a
- id="dx15-170002"></a>
- <!--l. 432--><p class="noindent">This handler converts each point in the plot stream into a line from the <span
-class="cmmi-10">x</span>-axis to the point&#8217;s coordinate,
- resulting in a &#8220;vertical comb.&#8221;
- <!--l. 436--><p class="noindent">This handler is useful for creating &#8220;bar diagrams.&#8221;
- <!--l. 437--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-334-" ><colgroup id="TBL-334-1g"><col
-id="TBL-334-1"><col
-id="TBL-334-2"></colgroup><tr
- valign="baseline" id="TBL-334-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-334-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-407.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-334-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerycomb</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 451--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox121"><span
-class="cmtt-10">\pgfplothandlerpolarcomb</span></span> </dt><dd
-class="description">
-<a
- id="dx15-170003"></a>
- <!--l. 452--><p class="noindent">This handler converts each point in the plot stream into a line from the origin to the point&#8217;s coordinate.
-
-
- <!--l. 455--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-335-" ><colgroup id="TBL-335-1g"><col
-id="TBL-335-1"><col
-id="TBL-335-2"></colgroup><tr
- valign="baseline" id="TBL-335-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-335-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-408.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-335-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerpolarcomb</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 469--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.3.3 </span> <a
- id="x15-17100014.3.3"></a>Mark Plot Handler</h5>
-<!--l. 473--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox122"><span
-class="cmtt-10">\pgfplothandlermark</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mark code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171001"></a>
- <!--l. 474--><p class="noindent">This command will execute the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mark code</span><span
-class="cmsy-10">&gt; </span>for each point of the plot, but each time the coordinate
- transformation matrix will be setup such that the origin is at the position of the point to be plotted.
- This way, if the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mark code</span><span
-class="cmsy-10">&gt; </span>draws a little circle around the origin, little circles will be drawn at each
- point of the plot.
- <!--l. 481--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-336-" ><colgroup id="TBL-336-1g"><col
-id="TBL-336-1"><col
-id="TBL-336-2"></colgroup><tr
- valign="baseline" id="TBL-336-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-336-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-409.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-336-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlermark{\pgfpathcircle{\pgfpointorigin}{4pt}\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 494--><p class="noindent">Typically, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseplotmark{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt; </span>is the name of a
- predefined plot mark. </dd></dl>
-<!--l. 499--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox123"><span
-class="cmtt-10">\pgfuseplotmark</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171002"></a>
- <!--l. 500--><p class="noindent">Draws the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt; </span>at the origin. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt; </span>must previously have been
- declared using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareplotmark</span></span></span>.
-
-
- <!--l. 504--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-337-" ><colgroup id="TBL-337-1g"><col
-id="TBL-337-1"><col
-id="TBL-337-2"></colgroup><tr
- valign="baseline" id="TBL-337-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-337-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-410.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-337-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlermark{\pgfuseplotmark{pentagon}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 518--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox124"><span
-class="cmtt-10">\pgfdeclareplotmark</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171003"></a>
- <!--l. 519--><p class="noindent">Declares a plot mark for later used with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseplotmark</span></span></span> command.
- <!--l. 522--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-338-" ><colgroup id="TBL-338-1g"><col
-id="TBL-338-1"><col
-id="TBL-338-2"></colgroup><tr
- valign="baseline" id="TBL-338-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-338-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-411.svg" width="92.24306 " height="57.73254 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-338-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareplotmark{my</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;mark}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpathcircle{\pgfpoint{0cm}{1ex}}{1ex}\pgfusepathqstroke}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlermark{\pgfuseplotmark{my</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;mark}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 539--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox125"><span
-class="cmtt-10">\pgfsetplotmarksize</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171004"></a>
- <!--l. 540--><p class="noindent">This command sets the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotmarksize</span></span></span> to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. This dimension is a
- &#8220;recommendation&#8221; for plot mark code at which size the plot mark should be drawn; plot mark code
- may choose to ignore this <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>altogether. For circles, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>should be the radius, for
- other shapes it should be about half the width/height.
- <!--l. 547--><p class="noindent">The predefined plot marks all take this dimension into account.
- <!--l. 549--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-339-" ><colgroup id="TBL-339-1g"><col
-id="TBL-339-1"><col
-id="TBL-339-2"></colgroup><tr
- valign="baseline" id="TBL-339-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-339-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-412.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-339-1-2"
-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[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetplotmarksize{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlermark{\pgfuseplotmark{*}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 564--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox126"><span
-class="cmtt-10">\pgfplotmarksize</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171005"></a>
- <!--l. 565--><p class="noindent">A <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension that is a &#8220;recommendation&#8221; for the size of plot marks. </dd></dl>
-<!--l. 569--><p class="noindent">The following plot marks are predefined (the filling color has been set to yellow):
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-340-" ><colgroup id="TBL-340-1g"><col
-id="TBL-340-1"><col
-id="TBL-340-2"></colgroup><tr
- valign="baseline" id="TBL-340-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-1-1"
-class="td11"> <a
- id="dx15-171006"></a><a
- id="dx15-171007"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-340-1-2"
-class="td11"> <object data="pgfmanual-413.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-340-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-2-1"
-class="td11"> <a
- id="dx15-171008"></a><a
- id="dx15-171009"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">x</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-340-2-2"
-class="td11"> <object data="pgfmanual-414.svg" width="61.67648 " height="12.35847 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-340-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-3-1"
-class="td11"> <a
- id="dx15-171010"></a><a
- id="dx15-171011"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">+</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-340-3-2"
-class="td11"> <object data="pgfmanual-415.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-340-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-4-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 580--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.4 </span> <a
- id="x15-17200014.4"></a>Plot Mark Library</h4>
-<!--l. 582--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox127"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryplotmarks</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-172001"></a>
-<a
- id="dx15-172002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox128"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryplotmarks</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox129"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryplotmarks</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 583--><p class="noindent">When this package is loaded, the following plot marks are defined in addition to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">*</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span> (the filling
- color has been set to a dark yellow):
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-341-" ><colgroup id="TBL-341-1g"><col
-id="TBL-341-1"><col
-id="TBL-341-2"></colgroup><tr
- valign="baseline" id="TBL-341-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-1-1"
-class="td11"> <a
- id="dx15-172003"></a><a
- id="dx15-172004"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">-</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-1-2"
-class="td11"> <object data="pgfmanual-416.svg" width="63.23857 " height="9.12056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-2-1"
-class="td11"> <a
- id="dx15-172005"></a><a
- id="dx15-172006"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">|</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-2-2"
-class="td11"> <object data="pgfmanual-417.svg" width="58.43857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-3-1"
-class="td11"> <a
- id="dx15-172007"></a><a
- id="dx15-172008"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">o</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-3-2"
-class="td11"> <object data="pgfmanual-418.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-4-1"
-class="td11"> <a
- id="dx15-172009"></a><a
- id="dx15-172010"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">asterisk</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-4-2"
-class="td11"> <object data="pgfmanual-419.svg" width="62.52405 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-5-1"
-class="td11"> <a
- id="dx15-172011"></a><a
- id="dx15-172012"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">star</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-5-2"
-class="td11"> <object data="pgfmanual-420.svg" width="62.9775 " height="13.41129 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-6-1"
-class="td11"> <a
- id="dx15-172013"></a><a
- id="dx15-172014"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">oplus</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-6-2"
-class="td11"> <object data="pgfmanual-421.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-7-1"
-class="td11"> <a
- id="dx15-172015"></a><a
- id="dx15-172016"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">oplus*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-7-2"
-class="td11"> <object data="pgfmanual-422.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-8-1"
-class="td11"> <a
- id="dx15-172017"></a><a
- id="dx15-172018"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">otimes</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-8-2"
-class="td11"> <object data="pgfmanual-423.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-9-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-9-1"
-class="td11"> <a
- id="dx15-172019"></a><a
- id="dx15-172020"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">otimes*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-9-2"
-class="td11"> <object data="pgfmanual-424.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-10-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-10-1"
-class="td11"> <a
- id="dx15-172021"></a><a
- id="dx15-172022"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">square</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-10-2"
-class="td11"> <object data="pgfmanual-425.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-11-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-11-1"
-class="td11"> <a
- id="dx15-172023"></a><a
- id="dx15-172024"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">square*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-11-2"
-class="td11"> <object data="pgfmanual-426.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-12-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-12-1"
-class="td11"> <a
- id="dx15-172025"></a><a
- id="dx15-172026"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">triangle</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-12-2"
-class="td11"> <object data="pgfmanual-427.svg" width="62.52405 " height="12.58723 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-13-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-13-1"
-class="td11"> <a
- id="dx15-172027"></a><a
- id="dx15-172028"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">triangle*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-13-2"
-class="td11"> <object data="pgfmanual-428.svg" width="62.52405 " height="12.58723 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-14-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-14-1"
-class="td11"> <a
- id="dx15-172029"></a><a
- id="dx15-172030"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">diamond</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-14-2"
-class="td11"> <object data="pgfmanual-429.svg" width="61.90524 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-15-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-15-1"
-class="td11"> <a
- id="dx15-172031"></a><a
- id="dx15-172032"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">diamond*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-15-2"
-class="td11"> <object data="pgfmanual-430.svg" width="61.90524 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-16-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-16-1"
-class="td11"> <a
- id="dx15-172033"></a><a
- id="dx15-172034"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">pentagon</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-16-2"
-class="td11"> <object data="pgfmanual-431.svg" width="62.9775 " height="13.41129 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-17-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-17-1"
-class="td11"> <a
- id="dx15-172035"></a><a
- id="dx15-172036"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">pentagon*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-17-2"
-class="td11"> <object data="pgfmanual-432.svg" width="62.9775 " height="13.41129 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-18-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-18-1"
-class="td11"> </td>
-</tr></table></div> </dd></dl>
-
-
-<!--l. 616--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.5 </span> <a
- id="x15-17300014.5"></a>Shape Library</h4>
-<!--l. 618--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox130"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryshapes</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-173001"></a>
-<a
- id="dx15-173002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox131"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryshapes</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox132"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryshapes</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 619--><p class="noindent">This library packages defines additional shapes, which are described in the following. </dd></dl>
-<!--l. 623--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox133">Shape <span
-class="cmtt-10">cross out</span></span> </dt><dd
-class="description">
-<a
- id="dx15-173003"></a>
-<a
- id="dx15-173004"></a>
- <!--l. 624--><p class="noindent">This shape &#8220;crosses out&#8221; the node. Its foreground path are simply two diagonal lines that between the
- corners of the node&#8217;s bounding box. Here is an example:
- <!--l. 628--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-342-" ><colgroup id="TBL-342-1g"><col
-id="TBL-342-1"><col
-id="TBL-342-2"></colgroup><tr
- valign="baseline" id="TBL-342-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-342-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-433.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-342-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[cross</span><span
-class="cmtt-8">&nbsp;out,draw=red]</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(1.5,1)</span><span
-class="cmtt-8">&nbsp;{cross</span><span
-class="cmtt-8">&nbsp;out};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 635--><p class="noindent">A useful application is inside text as in the following example:
- <!--l. 636--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-343-" ><colgroup id="TBL-343-1g"><col
-id="TBL-343-1"><col
-id="TBL-343-2"></colgroup><tr
- valign="baseline" id="TBL-343-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-343-1-1"
-class="td11"> &nbsp;Cross <object data="pgfmanual-434.svg" width="27.99155 " height="16.69525 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> out! &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-343-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Cross</span><span
-class="cmtt-8">&nbsp;\tikz[baseline]</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[cross</span><span
-class="cmtt-8">&nbsp;out,draw,anchor=text]</span><span
-class="cmtt-8">&nbsp;{me};</span><span
-class="cmtt-8">&nbsp;out!</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 640--><p class="noindent">This shape inherits all anchors from the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape, see also the following figure:
- <!--l. 642--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-435.svg" width="509.12688 " height="189.39648 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-344-" ><colgroup id="TBL-344-1g"><col
-id="TBL-344-1"></colgroup><tr
- valign="baseline" id="TBL-344-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-344-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=cross</span><span
-class="cmtt-8">&nbsp;out,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{cross</span><span
-class="cmtt-8">&nbsp;out\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</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;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</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;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</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;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</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;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</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;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</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;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</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;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)}</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;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-<!--l. 659--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox134">Shape <span
-class="cmtt-10">ellipse</span></span> </dt><dd
-class="description">
-<a
- id="dx15-173005"></a>
-<a
- id="dx15-173006"></a>
- <!--l. 660--><p class="noindent">This shape is an ellipse tightly fitting the text box, if no inner separation is given. The following figure shows
- the anchors this shape defines; the anchors <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">10</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">130</span></span></span> are example of border anchors.
- <!--l. 663--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-436.svg" width="584.62265 " height="245.66365 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-345-" ><colgroup id="TBL-345-1g"><col
-id="TBL-345-1"></colgroup><tr
- valign="baseline" id="TBL-345-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-345-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=ellipse,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{Ellipse\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</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;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</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;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</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;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</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;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</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;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</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;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</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;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)}</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;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 680--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox135">Shape <span
-class="cmtt-10">forbidden sign</span></span> </dt><dd
-class="description">
-<a
- id="dx15-173007"></a>
-<a
- id="dx15-173008"></a>
- <!--l. 681--><p class="noindent">This shape places the node inside a circle with a diagonal from the lower left to the upper right added.
- The circle is part of the background, the diagonal line part of the foreground path; thus, the diagonal
- line is on top of the text.
- <!--l. 686--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-346-" ><colgroup id="TBL-346-1g"><col
-id="TBL-346-1"><col
-id="TBL-346-2"></colgroup><tr
- valign="baseline" id="TBL-346-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-346-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-437.svg" width="69.03473 " height="69.03473 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-346-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;[forbidden</span><span
-class="cmtt-8">&nbsp;sign,line</span><span
-class="cmtt-8">&nbsp;width=1ex,draw=red,fill=white]</span><span
-class="cmtt-8">&nbsp;{Smoking};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 692--><p class="noindent">The shape inherits all anchors from the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> shape, see also the following figure:
-
-
- <!--l. 694--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-438.svg" width="533.68391 " height="419.28453 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-347-" ><colgroup id="TBL-347-1g"><col
-id="TBL-347-1"></colgroup><tr
- valign="baseline" id="TBL-347-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-347-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=forbidden</span><span
-class="cmtt-8">&nbsp;sign,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{Forbidden\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</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;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</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;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</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;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</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;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</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;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</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;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</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;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)}</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;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 712--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox136">Shape <span
-class="cmtt-10">strike out</span></span> </dt><dd
-class="description">
-<a
- id="dx15-173009"></a>
-<a
- id="dx15-173010"></a>
- <!--l. 713--><p class="noindent">This shape is idential to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cross</span><span
-class="cmtt-10">&nbsp;out</span></span></span> shape, only its foreground path consists of a single line from
- the lower left to the upper right.
- <!--l. 717--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-348-" ><colgroup id="TBL-348-1g"><col
-id="TBL-348-1"><col
-id="TBL-348-2"></colgroup><tr
- valign="baseline" id="TBL-348-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-348-1-1"
-class="td11"> &nbsp;Strike <object data="pgfmanual-439.svg" width="27.99155 " height="16.69525 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> out! &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-348-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Strike</span><span
-class="cmtt-8">&nbsp;\tikz[baseline]</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[strike</span><span
-class="cmtt-8">&nbsp;out,draw,anchor=text]</span><span
-class="cmtt-8">&nbsp;{me};</span><span
-class="cmtt-8">&nbsp;out!</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 721--><p class="noindent">See the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cross</span><span
-class="cmtt-10">&nbsp;out</span></span></span> shape for the anchors. </dd></dl>
-<!--l. 726--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.6 </span> <a
- id="x15-17400014.6"></a>Tree Library</h4>
-<!--l. 731--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox137"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibrarytikztrees</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-174001"></a>
-<a
- id="dx15-174002"></a>
-
-
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox138"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarytikztrees</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox139"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarytikztrees</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 732--><p class="noindent">This packages defines styles to be used when drawing trees. </dd></dl>
-<!--l. 735--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.6.1 </span> <a
- id="x15-17500014.6.1"></a>Growth Functions</h5>
-<!--l. 737--><p class="noindent">The package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibrarytikztrees</span></span></span> defines two new growth functions. They are installed using the following
-options:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">grow via three points</span><a
- id="dx15-175001"></a><a
- id="dx15-175002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=one</span><span
-class="cmtt-10">&nbsp;child</span><span
-class="cmtt-10">&nbsp;at</span><span
-class="cmtt-10">&nbsp;(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;two</span><span
-class="cmtt-10">&nbsp;children</span><span
-class="cmtt-10">&nbsp;at</span><span
-class="cmtt-10">&nbsp;(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">z</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> This option
- installs a growth function that works as follows: If a parent node has just one child, this child is placed
- at <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span>. If the parent node has two children, these are placed at <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">z</span><span
-class="cmsy-10">&gt;</span>. If the parent node has
- more than two children, the children are placed at points that are linearly extrapolated from the three
- points <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span>, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span>, and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">z</span><span
-class="cmsy-10">&gt;</span>. In detail, the position is <span
-class="cmmi-10">x</span>+<img
-src="pgfmanual28x.gif" alt="n-1
- 2" class="frac" align="middle">(<span
-class="cmmi-10">y</span><span
-class="cmsy-10">-</span><span
-class="cmmi-10">x</span>)+(<span
-class="cmmi-10">c</span><span
-class="cmsy-10">-</span>1)(<span
-class="cmmi-10">z</span><span
-class="cmsy-10">-</span><span
-class="cmmi-10">y</span>), where <span
-class="cmmi-10">n </span>is the number
- of children and <span
-class="cmmi-10">c </span>is the number of the current child (starting with&nbsp;1).
- <!--l. 753--><p class="noindent">The net effect of all this is that if you have a certain &#8220;linear arrangement&#8221; in mind and use this option
- to specify the placement of a single child and of two children, then any number of children will be
- placed correctly.
- <!--l. 758--><p class="noindent">Here are some arrangements based on this growth function. We start with a simple &#8220;above&#8221;
- arrangement:
- <!--l. 760--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-349-" ><colgroup id="TBL-349-1g"><col
-id="TBL-349-1"><col
-id="TBL-349-2"></colgroup><tr
- valign="baseline" id="TBL-349-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-349-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-440.svg" width="115.3438 " height="218.99286 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-349-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[grow</span><span
-class="cmtt-8">&nbsp;via</span><span
-class="cmtt-8">&nbsp;three</span><span
-class="cmtt-8">&nbsp;points={</span><span
-class="cmsltt-10x-x-80">%</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;one</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;two</span><span
-class="cmtt-8">&nbsp;children</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(-.5,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(.5,1)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{one}</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;{two}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-3)</span><span
-class="cmtt-8">&nbsp;{three}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-4.5)</span><span
-class="cmtt-8">&nbsp;{four}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 770--><p class="noindent">The next arrangement places children above, but &#8220;grows only to the right.&#8221;
-
-
- <!--l. 772--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-350-" ><colgroup id="TBL-350-1g"><col
-id="TBL-350-1"><col
-id="TBL-350-2"></colgroup><tr
- valign="baseline" id="TBL-350-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-350-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-441.svg" width="134.35445 " height="218.99286 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-350-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[grow</span><span
-class="cmtt-8">&nbsp;via</span><span
-class="cmtt-8">&nbsp;three</span><span
-class="cmtt-8">&nbsp;points={</span><span
-class="cmsltt-10x-x-80">%</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;one</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;two</span><span
-class="cmtt-8">&nbsp;children</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(1,1)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{one}</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;{two}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-3)</span><span
-class="cmtt-8">&nbsp;{three}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-4.5)</span><span
-class="cmtt-8">&nbsp;{four}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 782--><p class="noindent">In the final arrangement, the children are placed along a line going down and right.
- <!--l. 784--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-351-" ><colgroup id="TBL-351-1g"><col
-id="TBL-351-1"><col
-id="TBL-351-2"></colgroup><tr
- valign="baseline" id="TBL-351-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-351-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-442.svg" width="115.34386 " height="226.71782 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-351-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[grow</span><span
-class="cmtt-8">&nbsp;via</span><span
-class="cmtt-8">&nbsp;three</span><span
-class="cmtt-8">&nbsp;points={</span><span
-class="cmsltt-10x-x-80">%</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;one</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;two</span><span
-class="cmtt-8">&nbsp;children</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(0,-.75)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{one}</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;{two}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-3)</span><span
-class="cmtt-8">&nbsp;{three}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-4.5)</span><span
-class="cmtt-8">&nbsp;{four}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 794--><p class="noindent">These examples should make it clear how you can create new styles to arrange your children along a
- line.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">grow cyclic</span><a
- id="dx15-175003"></a><a
- id="dx15-175004"></a> This style causes the children to be arranged &#8220;on a circle.&#8221; For this, the children are
- placed at distance <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzleveldistance</span></span></span> from the parent node, but not on a straight line, but points on a
- circle. Instead of a sibling distance, there is a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sibling</span><span
-class="cmtt-10">&nbsp;angle</span></span></span> that denotes the angle between two given
- children.
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">sibling angle</span><a
- id="dx15-175005"></a><a
- id="dx15-175006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">angle</span><span
-class="cmsy-10">&gt; </span>Sets the angle between siblings in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grow</span><span
-class="cmtt-10">&nbsp;cyclic</span></span></span> style.</li></ul>
- <!--l. 807--><p class="noindent">Note that this function will rotate the coordinate system of the children to ensure that the grandchildren will
- grow in the right direction.
-
-
- <!--l. 810--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-352-" ><colgroup id="TBL-352-1g"><col
-id="TBL-352-1"><col
-id="TBL-352-2"></colgroup><tr
- valign="baseline" id="TBL-352-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-352-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-443.svg" width="98.18277 " height="54.631 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-352-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[grow</span><span
-class="cmtt-8">&nbsp;cyclic]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[level</span><span
-class="cmtt-8">&nbsp;distance=8mm,sibling</span><span
-class="cmtt-8">&nbsp;angle=60]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[level</span><span
-class="cmtt-8">&nbsp;distance=4mm,sibling</span><span
-class="cmtt-8">&nbsp;angle=45]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[level</span><span
-class="cmtt-8">&nbsp;distance=2mm,sibling</span><span
-class="cmtt-8">&nbsp;angle=30]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\coordinate</span><span
-class="cmtt-8">&nbsp;[rotate=-90]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;going</span><span
-class="cmsltt-10x-x-80">&nbsp;down</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;child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3}</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;{child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3}</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;{child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3}}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 823--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.6.2 </span> <a
- id="x15-17600014.6.2"></a>Edges From Parent</h5>
-<!--l. 825--><p class="noindent">The following styles can be used to modify how the edges from parents are drawn:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent fork down</span><a
- id="dx15-176001"></a><a
- id="dx15-176002"></a> This style will draw a line from the parent downwards (for half the
- level distance) and then on to the child using only horizontal and vertical lines.
- <!--l. 833--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-353-" ><colgroup id="TBL-353-1g"><col
-id="TBL-353-1"><col
-id="TBL-353-2"></colgroup><tr
- valign="baseline" id="TBL-353-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-353-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-444.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-353-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;fork</span><span
-class="cmtt-8">&nbsp;down]</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child[child</span><span
-class="cmtt-8">&nbsp;anchor=north</span><span
-class="cmtt-8">&nbsp;east]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent fork right</span><a
- id="dx15-176003"></a><a
- id="dx15-176004"></a> This style behaves similarly, only it will first draw its edge to the
- right.
- <!--l. 847--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-354-" ><colgroup id="TBL-354-1g"><col
-id="TBL-354-1"><col
-id="TBL-354-2"></colgroup><tr
- valign="baseline" id="TBL-354-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-354-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-445.svg" width="149.64285 " height="104.50505 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-354-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;fork</span><span
-class="cmtt-8">&nbsp;right,grow=right]</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent fork left</span><a
- id="dx15-176005"></a><a
- id="dx15-176006"></a> behaves similary.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent fork up</span><a
- id="dx15-176007"></a><a
- id="dx15-176008"></a> behaves similary.</li></ul>
-<!--l. 866--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.7 </span> <a
- id="x15-17700014.7"></a>Background Library</h4>
-<!--l. 870--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox140"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibrarytikzbackgrounds</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-177001"></a>
-<a
- id="dx15-177002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox141"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarytikzbackgrounds</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox142"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarytikzbackgrounds</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 871--><p class="noindent">This packages defines &#8220;backgrounds&#8221; for pictures. This does not refer to background pictures, but
- rather to frames drawn around and behind pictures. For example, this package allows you to just add
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">framed</span></span></span> option to a picture to get a rectangular box around your picture or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gridded</span></span></span> to put a grid
- behind your picture. </dd></dl>
-<!--l. 878--><p class="noindent">When this package is loaded, the following styles become available:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background rectangle</span><a
- id="dx15-177003"></a><a
- id="dx15-177004"></a> This style causes a rectangle to be drawn behind your
- graphic. This style option must be given to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment or to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span></span></span>
- command.
- <!--l. 884--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-355-" ><colgroup id="TBL-355-1g"><col
-id="TBL-355-1"><col
-id="TBL-355-2"></colgroup><tr
- valign="baseline" id="TBL-355-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-355-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-446.svg" width="89.42174 " height="51.48486 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-355-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 889--><p class="noindent">The size of the background rectangle is determined as follows: We start with the bounding box of the picture.
- Then, a certain separator distance is added on the sides. This distance can be different for the <span
-class="cmmi-10">x</span>- and
- <span
-class="cmmi-10">y</span>-directions and can be set using the following options:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">inner frame xsep</span><a
- id="dx15-177005"></a><a
- id="dx15-177006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the additional horizontal separator distance for the
- background rectangle. The default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1ex</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner frame ysep</span><a
- id="dx15-177007"></a><a
- id="dx15-177008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Same for the vertical separator distance.
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner frame sep</span><a
- id="dx15-177009"></a><a
- id="dx15-177010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets the horizontal and vertical separator distances
- simultaneously.</li></ul>
- <!--l. 904--><p class="noindent">The following two styles make setting the inner separator a bit easier to remember:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">tight background</span><a
- id="dx15-177011"></a><a
- id="dx15-177012"></a> Sets the inner frame separator to 0pt. The background rectangle will
- have the size of the bounding box.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">loose background</span><a
- id="dx15-177013"></a><a
- id="dx15-177014"></a> Sets the inner frame separator to 2ex.</li></ul>
-
-
- <!--l. 913--><p class="noindent">You can influence how the background rectangle is rendered by setting the following style:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">background rectangle</span><a
- id="dx15-177015"></a><a
- id="dx15-177016"></a> This style dictates how the background rectangle is drawn or filled. By
- default this style is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>, which causes the path of the background rectangle to be drawn in
- the usual way. Setting this style to, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill=blue!20</span></span></span> causes a light blue background to
- be added to the picture. You can also use more fancy settings as shown in the following
- example:
- <!--l. 923--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-356-" ><colgroup id="TBL-356-1g"><col
-id="TBL-356-1"><col
-id="TBL-356-2"></colgroup><tr
- valign="baseline" id="TBL-356-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-356-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-447.svg" width="93.95508 " height="56.01822 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-356-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[double,ultra</span><span
-class="cmtt-8">&nbsp;thick,draw=red,top</span><span
-class="cmtt-8">&nbsp;color=blue,rounded</span><span
-class="cmtt-8">&nbsp;corners]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 930--><p class="noindent">Naturally, no one in their right mind would use the above, but here is a nice background:
- <!--l. 932--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-357-" ><colgroup id="TBL-357-1g"><col
-id="TBL-357-1"><col
-id="TBL-357-2"></colgroup><tr
- valign="baseline" id="TBL-357-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-357-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-448.svg" width="89.42174 " height="51.48486 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-357-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw=blue!50,fill=blue!20,rounded</span><span
-class="cmtt-8">&nbsp;corners=1ex]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">framed</span><a
- id="dx15-177017"></a><a
- id="dx15-177018"></a> This is a shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">show</span><span
-class="cmtt-10">&nbsp;background</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background grid</span><a
- id="dx15-177019"></a><a
- id="dx15-177020"></a> This style behaves similarly to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">show</span><span
-class="cmtt-10">&nbsp;background</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> style, but it
- will not use a rectangle path, but a grid. The lower left and upper right corner of the grid is computed in the
- same way as for the background rectangle:
- <!--l. 947--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-358-" ><colgroup id="TBL-358-1g"><col
-id="TBL-358-1"><col
-id="TBL-358-2"></colgroup><tr
- valign="baseline" id="TBL-358-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-358-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-449.svg" width="89.15504 " height="51.21819 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-358-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;grid]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 952--><p class="noindent">You can influence the background grid by setting the following style:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">background grid</span><a
- id="dx15-177021"></a><a
- id="dx15-177022"></a> This style dictates how the background grid path is drawn. The default is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw,help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span>.
- <!--l. 958--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-359-" ><colgroup id="TBL-359-1g"><col
-id="TBL-359-1"><col
-id="TBL-359-2"></colgroup><tr
- valign="baseline" id="TBL-359-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-359-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-450.svg" width="89.95506 " height="52.01819 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-359-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;grid}=[thick,draw=red,step=.5cm]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;grid]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 964--><p class="noindent">This option can be combined with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">framed</span></span></span> option (use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">framed</span></span></span> option first):
-
-
- <!--l. 966--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-360-" ><colgroup id="TBL-360-1g"><col
-id="TBL-360-1"><col
-id="TBL-360-2"></colgroup><tr
- valign="baseline" id="TBL-360-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-360-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-451.svg" width="89.95506 " height="52.01819 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-360-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;grid}=[thick,draw=red,step=.5cm]</span>
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[rounded</span><span
-class="cmtt-8">&nbsp;corners,fill=yellow]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[framed,gridded]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">gridded</span><a
- id="dx15-177023"></a><a
- id="dx15-177024"></a> This is a shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">show</span><span
-class="cmtt-10">&nbsp;background</span><span
-class="cmtt-10">&nbsp;grid</span></span></span>.</li></ul>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background top</span><a
- id="dx15-177025"></a><a
- id="dx15-177026"></a> This style causes a single line to be drawn at the top of the background
- rectangle. Normally, the line coincides exactly with the top line of the background rectangle:
- <!--l. 980--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-361-" ><colgroup id="TBL-361-1g"><col
-id="TBL-361-1"><col
-id="TBL-361-2"></colgroup><tr
- valign="baseline" id="TBL-361-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-361-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-452.svg" width="89.42174 " height="51.2182 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-361-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[fill=yellow]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[framed,show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;top]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 986--><p class="noindent">The following option allows you to lengthen (or shorten) the line:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">outer frame xsep</span><a
- id="dx15-177027"></a><a
- id="dx15-177028"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is added at the left and right side of the
- line.
- <!--l. 991--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-362-" ><colgroup id="TBL-362-1g"><col
-id="TBL-362-1"><col
-id="TBL-362-2"></colgroup><tr
- valign="baseline" id="TBL-362-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-362-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-453.svg" width="100.90314 " height="51.2182 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-362-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[fill=yellow]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</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;[framed,show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;top,outer</span><span
-class="cmtt-8">&nbsp;frame</span><span
-class="cmtt-8">&nbsp;xsep=1ex]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer frame ysep</span><a
- id="dx15-177029"></a><a
- id="dx15-177030"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option does not apply to the top line, but to the left and right
- lines, see below.
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer frame sep</span><a
- id="dx15-177031"></a><a
- id="dx15-177032"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets both the <span
-class="cmmi-10">x</span>- and <span
-class="cmmi-10">y</span>-separation.
- <!--l. 1003--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-363-" ><colgroup id="TBL-363-1g"><col
-id="TBL-363-1"><col
-id="TBL-363-2"></colgroup><tr
- valign="baseline" id="TBL-363-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-363-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-454.svg" width="100.90314 " height="62.96626 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-363-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[fill=blue!20]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[outer</span><span
-class="cmtt-8">&nbsp;frame</span><span
-class="cmtt-8">&nbsp;sep=1ex,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;top,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;bottom,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;right]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- <!--l. 1015--><p class="noindent">You can influence how the line is drawn grid by setting the following style:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">background top</span><a
- id="dx15-177033"></a><a
- id="dx15-177034"></a> Default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>.
-
-
- <!--l. 1020--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-364-" ><colgroup id="TBL-364-1g"><col
-id="TBL-364-1"><col
-id="TBL-364-2"></colgroup><tr
- valign="baseline" id="TBL-364-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-364-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-455.svg" width="94.6291 " height="53.8219 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-364-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[fill=blue!20]</span>
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;top}=[draw=blue!50,line</span><span
-class="cmtt-8">&nbsp;width=1ex]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[framed,show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;top]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background bottom</span><a
- id="dx15-177035"></a><a
- id="dx15-177036"></a> works like the style for the top line.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background left</span><a
- id="dx15-177037"></a><a
- id="dx15-177038"></a> works like the style for the top line.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background right</span><a
- id="dx15-177039"></a><a
- id="dx15-177040"></a> works like the style for the top line.</li></ul>
-<!--l. 1037--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.8 </span> <a
- id="x15-17800014.8"></a>Automata Drawing Library</h4>
-<!--l. 1039--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox143"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryautomata</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-178001"></a>
-<a
- id="dx15-178002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox144"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryautomata</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox145"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryautomata</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 1040--><p class="noindent">This packages, which is still under construction, provides shapes and styles for drawing automata. </dd></dl>
-<!--l. 1045--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox146">Shape <span
-class="cmtt-10">state</span></span> </dt><dd
-class="description">
-<a
- id="dx15-178003"></a>
-<a
- id="dx15-178004"></a>
- <!--l. 1046--><p class="noindent">This shape is currently just an alias for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> shape. However, it is useful to have another shape
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span></span></span> since one can then say, for example, the the style <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">every</span><span
-class="cmtt-10">&nbsp;state</span><span
-class="cmtt-10">&nbsp;shape</span></span></span> should be set to some
- special value. </dd></dl>
-<!--l. 1052--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox147">Shape <span
-class="cmtt-10">state with output</span></span> </dt><dd
-class="description">
-<a
- id="dx15-178005"></a>
-<a
- id="dx15-178006"></a>
- <!--l. 1053--><p class="noindent">This shape is a multi-part shape. The main part (the text part) is the name of the state as in the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span></span></span> shape. The second part is called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span>. This node part is drawn in the lower part of the node,
- separated from the upper part by a line.
-
-
- <!--l. 1058--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-365-" ><colgroup id="TBL-365-1g"><col
-id="TBL-365-1"><col
-id="TBL-365-2"></colgroup><tr
- valign="baseline" id="TBL-365-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-365-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-456.svg" width="44.43355 " height="44.43355 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-365-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;[state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output,draw,double,fill=red!20]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;$q_1$</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;\nodepart{output}</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;$00$</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1069--><p class="noindent">The shape inherits all anchors from the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> shape and defines the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span> anchor in addition. See also the
- following figure:
- <!--l. 1072--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-457.svg" width="553.4436 " height="439.04422 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-366-" ><colgroup id="TBL-366-1g"><col
-id="TBL-366-1"></colgroup><tr
- valign="baseline" id="TBL-366-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-366-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{state</span><span
-class="cmtt-8">&nbsp;name\nodepart{output}output};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</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;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</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;west/left,</span><span
-class="cmtt-8">&nbsp;center/below,</span><span
-class="cmtt-8">&nbsp;east/right,</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;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</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;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</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;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</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;text/left,</span><span
-class="cmtt-8">&nbsp;output/left,</span><span
-class="cmtt-8">&nbsp;130/above}</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;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)}</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;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse15.html" >next</a>] [<a
-href="pgfmanualse14.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse14.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse14.html"></a>
-</body></html>
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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>15 Repeating Things: The Foreach Statement</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
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- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse16.html" >next</a>] [<a
-href="pgfmanualse14.html" >prev</a>] [<a
-href="pgfmanualse14.html#tailpgfmanualse14.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse15.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse15.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">15 </span> <a
- id="x16-17900015"></a>Repeating Things: The Foreach Statement</h3>
-<!--l. 10--><p class="noindent">In this section the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgffor.sty</span></span></span> is described. It can be used independently of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, but it works particularly
-well together with <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z.
-<!--l. 14--><p class="indent"> When you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{pgffor}</span></span></span>, two commands are defined: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\breakforeach</span></span></span>. Their
-behaviour is described in the following:
-<!--l. 19--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox148"><span
-class="cmtt-10">\foreach</span><span class="obeylines-h"><span class="verb"> </span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"> <span
-class="cmtt-10">in </span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
-<a
- id="dx16-179001"></a>
- <!--l. 20--><p class="noindent">The syntax of this command is a bit complicated, so let us go through it step-by-step.
- <!--l. 23--><p class="noindent">In the easiest case, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>is a single <span class="TEX">T<span
-class="E">E</span>X</span>-command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\point</span></span></span>. (If you want to have some
- fun, you can also use active characters. If you do not know what active characters are, you are blessed.)
- <!--l. 28--><p class="noindent">Still in the easiest case, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt; </span>is a comma-separated list of values. Anything can be used as a value,
- but numbers are most likely.
- <!--l. 32--><p class="noindent">Finally, in the easiest case, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>is some <span class="TEX">T<span
-class="E">E</span>X</span>-text in curly braces.
- <!--l. 35--><p class="noindent">With all these assumptions, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement will execute the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>repeatedly, once for
- every element of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt;</span>. Each time the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>are executed, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variable</span><span
-class="cmsy-10">&gt; </span>will be set to the
- current value of the list item.
- <!--l. 40--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-367-" ><colgroup id="TBL-367-1g"><col
-id="TBL-367-1"><col
-id="TBL-367-2"></colgroup><tr
- valign="baseline" id="TBL-367-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-367-1-1"
-class="td11"> &nbsp;[1][2][3][0]&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-367-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3,0}</span><span
-class="cmtt-8">&nbsp;{[\x]}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 45--><p class="noindent"><span
-class="cmbx-10">Syntax for the commands. </span>Let use move on to a more complicated setting. The first complication occurs
- when the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>are not some text in curly braces. If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement does not encounter an
- opening brace, it will instead scan everything up to the next semicolon and use this as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>. This is
- most useful in situations like the following:
- <!--l. 53--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-368-" ><colgroup id="TBL-368-1g"><col
-id="TBL-368-1"><col
-id="TBL-368-2"></colgroup><tr
- valign="baseline" id="TBL-368-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-368-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-458.svg" width="130.51836 " height="16.70782 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-368-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1,2,3}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.2cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 59--><p class="noindent">However, the &#8220;reading till the next semicolon&#8221; is not the whole truth. There is another rule: If a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span>
- statement is directly followed by another <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement, this second foreach statement is collected as
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>. This allows you to write the following:
- <!--l. 65--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-369-" ><colgroup id="TBL-369-1g"><col
-id="TBL-369-1"><col
-id="TBL-369-2"></colgroup><tr
- valign="baseline" id="TBL-369-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-369-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-459.svg" width="130.51836 " height="130.51836 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-369-1-2"
-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;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1,2,3}</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;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1,2,3}</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>
-<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;\draw</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.2cm);</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;\fill</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.1cm);</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 77--><p class="noindent"><span
-class="cmbx-10">The dots notation. </span>The second complication concerns the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt;</span>. If this <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt; </span>contains the
- list item &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span>&#8221;, this list item is replaced by the &#8220;missing values.&#8221; More precisely, the following
- happens:
- <!--l. 82--><p class="noindent">Normally, when a list item <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> is encountered, there should already have been <span
-class="cmti-10">two </span>list items before it, which
- where numbers. Examples of <span
-class="cmti-10">numbers </span>are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-10</span></span></span>, or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-0.24</span></span></span>. Let us call these numbers <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">y </span>and let
- <span
-class="cmmi-10">d </span>:= <span
-class="cmmi-10">y </span><span
-class="cmsy-10">-</span><span
-class="cmmi-10">x </span>be their difference. Next, there should also be one number following the three dots, let us call this
- number&nbsp;<span
-class="cmmi-10">z</span>.
- <!--l. 89--><p class="noindent">In this situation, the part of the list reading &#8220;<span
-class="cmmi-10">x</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">,</span></span></span><span
-class="cmmi-10">y</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">,...,</span></span></span><span
-class="cmmi-10">z</span>&#8221; is replaced by &#8220;<span
-class="cmmi-10">x</span>, <span
-class="cmmi-10">x </span>+ <span
-class="cmmi-10">d</span>, <span
-class="cmmi-10">x </span>+ 2<span
-class="cmmi-10">d</span>, <span
-class="cmmi-10">x </span>+ 3<span
-class="cmmi-10">d</span>, ...,
- <span
-class="cmmi-10">x </span>+ <span
-class="cmmi-10">md</span>,&#8221; where the last dots are semantic dots, not syntactic dots. The value <span
-class="cmmi-10">m </span>is the largest number such
- that <span
-class="cmmi-10">x </span>+ <span
-class="cmmi-10">md </span><span
-class="cmsy-10"><u
-class="underline">&lt;</u> </span><span
-class="cmmi-10">z </span>if <span
-class="cmmi-10">d </span>is positive or such that <span
-class="cmmi-10">x </span>+ <span
-class="cmmi-10">md </span><span
-class="cmsy-10"><u
-class="underline">&gt;</u> </span><span
-class="cmmi-10">z </span>if <span
-class="cmmi-10">d </span>is negative.
- <!--l. 96--><p class="noindent">Perhaps it is best to explain this by some examples: The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt; </span>have the same effects:
- <!--l. 99--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,2,...,6}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 2, 3, 4, 5, 6,
- <!--l. 101--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,2,3,...,6}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 2, 3, 4, 5, 6,
- <!--l. 103--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,3,...,11}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 3, 5, 7, 9, 11,
- <!--l. 105--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,3,...,10}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 3, 5, 7, 9,
- <!--l. 107--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{0,0.1,...,0.5}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 0, 0.1, 0.20001, 0.30002, 0.40002,
- <!--l. 109--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{a,b,9,8,...,1,2,2.125,...,2.5}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields a, b, 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, 2.125,
- 2.25, 2.375, 2.5,
- <!--l. 111--><p class="noindent">As can be seen, for fractional steps that are not multiples of 2<sup ><span
-class="cmsy-7">-</span><span
-class="cmmi-7">n</span></sup> for some small <span
-class="cmmi-10">n</span>, rounding errors can
- occur pretty easily. Thus, in the second last case, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> should probably be replaced by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.501</span></span></span> for
- robustness.
- <!--l. 116--><p class="noindent">There is yet another special case for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> statement: If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> is used right after the first item in the list,
- that is, if there is an <span
-class="cmmi-10">x</span>, but no <span
-class="cmmi-10">y</span>, the difference <span
-class="cmmi-10">d </span>obviously cannot be computed and is set to 1 if the number <span
-class="cmmi-10">z</span>
- following the dots is larger than <span
-class="cmmi-10">x </span>and is set to <span
-class="cmsy-10">-</span>1 if <span
-class="cmmi-10">z </span>is smaller:
- <!--l. 122--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,...,6}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 2, 3, 4, 5, 6,
- <!--l. 124--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{9,...,3.5}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 9, 8, 7, 6, 5, 4,
- <!--l. 127--><p class="noindent"><span
-class="cmbx-10">Special handling of pairs. </span>Different list items are separated by commas. However, this causes a problem
- when the list items contain commas themselves as pairs like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,1)</span></span></span> do. In this case, you should put the items
- containing commas in braces as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{(0,1)}</span></span></span>. However, since pairs are such a natural and useful
- case, they get a special treatment by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement. When a list item starts with
- a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span> everything up to the next <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> is made part of the item. Thus, we can write things like the
- following:
- <!--l. 137--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-370-" ><colgroup id="TBL-370-1g"><col
-id="TBL-370-1"><col
-id="TBL-370-2"></colgroup><tr
- valign="baseline" id="TBL-370-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-370-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-460.svg" width="124.82805 " height="58.43857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-370-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\position</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{(0,0),</span><span
-class="cmtt-8">&nbsp;(1,1),</span><span
-class="cmtt-8">&nbsp;(2,0),</span><span
-class="cmtt-8">&nbsp;(3,1)}</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;\draw</span><span
-class="cmtt-8">&nbsp;\position</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(.25,.5);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 144--><p class="noindent"><span
-class="cmbx-10">Using the foreach-statement inside paths. </span>Ti<span
-class="cmti-10">k</span>Z&nbsp;allows you to use a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement inside a path
- construction. In such a case, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>must be path construction commands. Here are two
- examples:
- <!--l. 149--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-371-" ><colgroup id="TBL-371-1g"><col
-id="TBL-371-1"><col
-id="TBL-371-2"></colgroup><tr
- valign="baseline" id="TBL-371-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-371-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-461.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-371-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</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;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,3}</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;(\x,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;}</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></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 157--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-372-" ><colgroup id="TBL-372-1g"><col
-id="TBL-372-1"><col
-id="TBL-372-2"></colgroup><tr
- valign="baseline" id="TBL-372-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-372-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-462.svg" width="77.40701 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-372-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\p</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,3}</span><span
-class="cmtt-8">&nbsp;{(\p,1)--(\p,3)</span><span
-class="cmtt-8">&nbsp;(1,\p)--(3,\p)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 162--><p class="noindent"><span
-class="cmbx-10">Multiple variables. </span>You will often wish to iterate over two variables at the same time. Since you can nest
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> loops, this is normally straight-forward. However, you sometimes wish variables to iterate
- &#8220;simultaneously.&#8221; For example, we might be given a list of edges that connect two coordinates and might wish
- to iterate over these edges. While doing so, we would like the source and target of the edges to be set to two
- different variables.
- <!--l. 171--><p class="noindent">To achieve this, you can use the following syntax: The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>may not only be a single <span class="TEX">T<span
-class="E">E</span>X</span>-variable.
- Instead, it can also be a list of variables separated by slashes (<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/</span></span></span>). In this case the list items can also be lists of
- values separated by slashes.
- <!--l. 177--><p class="noindent">Assuming that the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>and the list items are lists of values, each time the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>are executed,
- each of the variables in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>is set to one part of the list making up the current list item. Here is an
- example to clarify this:
- <!--l. 182--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;/</span><span
-class="cmtt-10">&nbsp;\y</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1/2,a/b}</span><span
-class="cmtt-10">&nbsp;{``\x\</span><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;\y''}</span></span></span> yields &#8220;1&nbsp;and 2&#8221;&#8220;a&nbsp;and b&#8221;.
- <!--l. 185--><p class="noindent">If some entry in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt; </span>does not have &#8220;enough&#8221; slashes, the last entry will be repeated. Here is an
- example:
- <!--l. 187--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-373-" ><colgroup id="TBL-373-1g"><col
-id="TBL-373-1"><col
-id="TBL-373-2"></colgroup><tr
- valign="baseline" id="TBL-373-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-373-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-463.svg" width="130.36508 " height="18.48044 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-373-1-2"
-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;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,...,3,2.72</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;e}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;node{$\xtext$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 194--><p class="noindent">Here are more useful examples:
- <!--l. 195--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-374-" ><colgroup id="TBL-374-1g"><col
-id="TBL-374-1"><col
-id="TBL-374-2"></colgroup><tr
- valign="baseline" id="TBL-374-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-374-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-464.svg" width="134.31227 " height="90.73097 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-374-1-2"
-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;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Define</span><span
-class="cmsltt-10x-x-80">&nbsp;some</span><span
-class="cmsltt-10x-x-80">&nbsp;coordinates:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw,fill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path[shape=circle,fill=examplefill]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(a)</span><span
-class="cmtt-8">&nbsp;{a}</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;(2,0.55)</span><span
-class="cmtt-8">&nbsp;node(b)</span><span
-class="cmtt-8">&nbsp;{b}</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;(1,1.5)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(c)</span><span
-class="cmtt-8">&nbsp;{c}</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;(2,1.75)</span><span
-class="cmtt-8">&nbsp;node(d)</span><span
-class="cmtt-8">&nbsp;{d};</span>
-<br>
-<br><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;Draw</span><span
-class="cmsltt-10x-x-80">&nbsp;some</span><span
-class="cmsltt-10x-x-80">&nbsp;connections:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\source/\target</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{a/b,</span><span
-class="cmtt-8">&nbsp;b/c,</span><span
-class="cmtt-8">&nbsp;c/a,</span><span
-class="cmtt-8">&nbsp;c/d}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\source)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(.75cm,0pt)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-.75cm,0pt)..(\target);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 211--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-375-" ><colgroup id="TBL-375-1g"><col
-id="TBL-375-1"><col
-id="TBL-375-2"></colgroup><tr
- valign="baseline" id="TBL-375-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-375-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-465.svg" width="88.78802 " height="153.2807 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-375-1-2"
-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;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Let's</span><span
-class="cmsltt-10x-x-80">&nbsp;draw</span><span
-class="cmsltt-10x-x-80">&nbsp;circles</span><span
-class="cmsltt-10x-x-80">&nbsp;at</span><span
-class="cmsltt-10x-x-80">&nbsp;interesting</span><span
-class="cmsltt-10x-x-80">&nbsp;points:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\diameter</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;0</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;2mm,</span><span
-class="cmtt-8">&nbsp;1</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;1</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;3mm,</span><span
-class="cmtt-8">&nbsp;2</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;0</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;1mm}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(\diameter);</span>
-<br>
-<br><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;Same</span><span
-class="cmsltt-10x-x-80">&nbsp;effect</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\center/\diameter</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{{(0,0)/2mm},</span><span
-class="cmtt-8">&nbsp;{(1,1)/3mm},</span><span
-class="cmtt-8">&nbsp;{(2,0)/1mm}}</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;\draw[yshift=2.5cm]</span><span
-class="cmtt-8">&nbsp;\center</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(\diameter);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 223--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-376-" ><colgroup id="TBL-376-1g"><col
-id="TBL-376-1"><col
-id="TBL-376-2"></colgroup><tr
- valign="baseline" id="TBL-376-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-376-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-466.svg" width="156.7474 " height="156.7474 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-376-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[cap=round,line</span><span
-class="cmtt-8">&nbsp;width=3pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\angle</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\label</span><span
-class="cmtt-8">&nbsp;in</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;{0/3,</span><span
-class="cmtt-8">&nbsp;30/2,</span><span
-class="cmtt-8">&nbsp;60/1,</span><span
-class="cmtt-8">&nbsp;90/12,</span><span
-class="cmtt-8">&nbsp;120/11,</span><span
-class="cmtt-8">&nbsp;150/10,</span><span
-class="cmtt-8">&nbsp;180/9,</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;210/8,</span><span
-class="cmtt-8">&nbsp;240/7,</span><span
-class="cmtt-8">&nbsp;270/6,</span><span
-class="cmtt-8">&nbsp;300/5,</span><span
-class="cmtt-8">&nbsp;330/4}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\draw[line</span><span
-class="cmtt-8">&nbsp;width=1pt]</span><span
-class="cmtt-8">&nbsp;(\angle:1.8cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\angle:2cm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(\angle:1.4cm)</span><span
-class="cmtt-8">&nbsp;node{\textsf{\label}};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\angle</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,90,180,270}</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;\draw[line</span><span
-class="cmtt-8">&nbsp;width=2pt]</span><span
-class="cmtt-8">&nbsp;(\angle:1.6cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\angle:2cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(120:0.8cm);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;hour</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(90:1cm);</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;minute</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span><span
-class="cmsltt-10x-x-80">%</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 243--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-377-" ><colgroup id="TBL-377-1g"><col
-id="TBL-377-1"><col
-id="TBL-377-2"></colgroup><tr
- valign="baseline" id="TBL-377-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-377-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-467.svg" width="145.15953 " height="145.15953 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-377-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz[shading=ball]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\cola</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0/red,1/green,2/blue,3/yellow}</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;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\colb</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0/red,1/green,2/blue,3/yellow}</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;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=\cola!50!\colb]</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.4cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 252--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox149"><span
-class="cmtt-10">\breakforeach</span></span> </dt><dd
-class="description">
-<a
- id="dx16-179002"></a>
- <!--l. 253--><p class="noindent">If this command is given inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> command, no further executions of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>will
- occur. However, the current execution of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>is continued normally, so it is probably best
- to use this command only at the end of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> command.
- <!--l. 259--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-378-" ><colgroup id="TBL-378-1g"><col
-id="TBL-378-1"><col
-id="TBL-378-2"></colgroup><tr
- valign="baseline" id="TBL-378-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-378-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-468.svg" width="122.8105 " height="130.81047 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-378-1-2"
-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;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,4}</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;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,4}</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>
-<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;\fill[red!50]</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(3pt</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;6pt);</span>
-<br>
-<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;\ifnum</span><span
-class="cmtt-8">&nbsp;\x&lt;\y</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;\breakforeach</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;\fi</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse16.html" >next</a>] [<a
-href="pgfmanualse14.html" >prev</a>] [<a
-href="pgfmanualse14.html#tailpgfmanualse14.html" >prev-tail</a>] [<a
-href="pgfmanualse15.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse15.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse15.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse16.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse16.html
deleted file mode 100644
index ea5fe0693d2..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse16.html
+++ /dev/null
@@ -1,1631 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>16 Page Management</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse17.html" >next</a>] [<a
-href="pgfmanualse15.html" >prev</a>] [<a
-href="pgfmanualse15.html#tailpgfmanualse15.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse16.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse16.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">16 </span> <a
- id="x17-18000016"></a>Page Management</h3>
-<!--l. 10--><p class="noindent">This section describes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> packages. Although this package is not concerned with creating pictures, its
-implementation relies so heavily on <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;that it is documented here. Currently, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> only works
-with <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, but if you are adventurous, feel free to hack the code so that it also works with plain
-<span class="TEX">T<span
-class="E">E</span>X</span>.
-<!--l. 16--><p class="indent"> The aim of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> is to provide a flexible way of putting multiple pages on a single page <span
-class="cmti-10">inside </span><span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span>. Thus,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> is quite different from useful tools like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">psnup</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdfnup</span></span></span> insofar as it creates its output in a single pass.
-Furthermore, it works uniformly with both <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">pdflatex</span></span></span>, making it easy to put multiple pages on a single
-page without any fuss.
-<!--l. 23--><p class="indent"> A word of warning: <span
-class="cmti-10">using </span><span class="obeylines-h"><span class="verb"><span
-class="cmitt-10">pgfpages</span></span></span> <span
-class="cmti-10">will destroy hyperlinks</span>. Actually, the hyperlinks are not destroyed, only they
-will appear at totally wrong positions on the final output. This is due to a fundamental flaw in the
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;specification: In <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;the bounding rectangle of a hyperlink is given in &#8220;absolute page coordinates&#8221; and
-translations or rotations do not affect them. Thus, the transformations applied by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> to put the pages where
-you want them are (cannot, even) be applied to the coordinates of hyperlinks. It is unlikely that this will change in
-the foreseeable future.
-<!--l. 35--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">16.1 </span> <a
- id="x17-18100016.1"></a>Basic Usage</h4>
-<!--l. 37--><p class="noindent">The internals of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> are complex since the package can do all sorts of interesting tricks. For this reason,
-so-called <span
-class="cmti-10">layouts </span>are predefined that setup all option in appropriate ways.
-<!--l. 41--><p class="indent"> You use a layout as follows:
-<!--l. 42--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-379-" ><colgroup id="TBL-379-1g"><col
-id="TBL-379-1"></colgroup><tr
- valign="baseline" id="TBL-379-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-379-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{article}</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{2</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;1}[a4paper,landscape,border</span><span
-class="cmtt-8">&nbsp;shrink=5mm]</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;left.</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;right.</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 55--><p class="indent"> The layout <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> puts two pages on a single page. The option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a4paper</span></span></span> tells <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> that the <span
-class="cmti-10">resulting </span>page
-(called the <span
-class="cmti-10">physical </span>page in the following) should be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a4paper</span></span></span> and it should be landscape (which is quite logical since
-putting two portrait pages next to each other gives a landscape page). Normally, the <span
-class="cmti-10">logical </span>pages, that is, the pages
-that <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;&#8220;thinks&#8221; that it is typesetting, will have the same sizes, but this need not be the case. <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> will
-automatically scale down the logical pages such that two logical pages fit next to each other inside a DIN A4
-page.
-<!--l. 65--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span><span
-class="cmtt-10">&nbsp;shrink</span></span></span> tells <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> that it should add an additional 5mm to the shrinking such that a
-5mm-wide border is shown around the resulting logical pages.
-<!--l. 69--><p class="indent"> As a second example, let us put two pages produced by the <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small> </span>class on a single page:
-<!--l. 72--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-380-" ><colgroup id="TBL-380-1g"><col
-id="TBL-380-1"></colgroup><tr
- valign="baseline" id="TBL-380-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-380-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{beamer}</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{2</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;1}[a4paper,border</span><span
-class="cmtt-8">&nbsp;shrink=5mm]</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">\begin{frame}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;top.</span>
-<br><span
-class="cmtt-8">\end{frame}</span>
-<br><span
-class="cmtt-8">\begin{frame}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;bottom.</span>
-<br><span
-class="cmtt-8">\end{frame}</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table>
-
-
-</div>
-<!--l. 88--><p class="indent"> Note that we do not use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">landscape</span></span></span> option since <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small></span>&#8217;s logical pages are already in landscape mode and
-putting two landscape pages on top of each other results in a portrait page. However, if you had used the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">4</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span>
-layout, you would have had to add <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">landscape</span></span></span> once more, using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">8</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> you must not, using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">16</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> you need
-it yet again. And, no, there is no <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">32</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> layout.
-<!--l. 95--><p class="indent"> Another word of caution: <span
-class="cmti-10">using </span><span class="obeylines-h"><span class="verb"><span
-class="cmitt-10">pgfpages</span></span></span> <span
-class="cmti-10">will produce wrong page numbers in the </span><span class="obeylines-h"><span class="verb"><span
-class="cmitt-10">.aux</span></span></span> <span
-class="cmti-10">file</span>. The reason is that
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;instantiates the page numbers when writing an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.aux</span></span></span> file only when the physical page is shipped out.
-Fortunately, this problem is easy to fix: First, typeset our file normally without using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout</span></span></span>
-command (just put the comment marker <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">%</span></span></span> before it) Then, rerun <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout</span></span></span> command
-included and add the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nofiles</span></span></span>. This command ensures that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.aux</span></span></span> file is not modified, which is
-exactly what you want. So, to typeset the above example, you should actually first <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;the following
-file:
-<!--l. 106--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-381-" ><colgroup id="TBL-381-1g"><col
-id="TBL-381-1"></colgroup><tr
- valign="baseline" id="TBL-381-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-381-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{article}</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmsltt-10x-x-80">%%\pgfpagesuselayout{2</span><span
-class="cmsltt-10x-x-80">&nbsp;on</span><span
-class="cmsltt-10x-x-80">&nbsp;1}[a4paper,landscape,border</span><span
-class="cmsltt-10x-x-80">&nbsp;shrink=5mm]</span>
-<br><span
-class="cmsltt-10x-x-80">%%\nofiles</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;left.</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;right.</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 119--><p class="indent"> and then typeset
-<!--l. 120--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-382-" ><colgroup id="TBL-382-1g"><col
-id="TBL-382-1"></colgroup><tr
- valign="baseline" id="TBL-382-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-382-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{article}</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{2</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;1}[a4paper,landscape,border</span><span
-class="cmtt-8">&nbsp;shrink=5mm]</span>
-<br><span
-class="cmtt-8">\nofiles</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;left.</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;right.</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 134--><p class="indent"> The final basic example is the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;to</span></span></span> layout (it works a bit like a hypothetical <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> layout). This layout
-resizes the logical page such that is fits the specified physical size. Since this does not change the page numbering,
-you need not worry about the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.aux</span></span></span> files with this layout. For example, adding the following lines will ensure that
-the physical output will fit on DIN A4 paper:
-<!--l. 140--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-383-" ><colgroup id="TBL-383-1g"><col
-id="TBL-383-1"></colgroup><tr
- valign="baseline" id="TBL-383-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-383-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{resize</span><span
-class="cmtt-8">&nbsp;to}[a4paper]</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 145--><p class="indent"> This can be very useful when you have to handle lots of papers that are typeset for, say, letter paper and you
-have an A4 printer or the other way round. For example, the following article will be fit for printing on letter
-paper:
-<!--l. 149--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-384-" ><colgroup id="TBL-384-1g"><col
-id="TBL-384-1"></colgroup><tr
- valign="baseline" id="TBL-384-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-384-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass[a4paper]{article}</span>
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;a4</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;currently</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;logical</span><span
-class="cmsltt-10x-x-80">&nbsp;size</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;also</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;physical</span><span
-class="cmsltt-10x-x-80">&nbsp;size</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{resize</span><span
-class="cmtt-8">&nbsp;to}[letterpaper]</span>
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;a4</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;still</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;logical</span><span
-class="cmsltt-10x-x-80">&nbsp;size,</span><span
-class="cmsltt-10x-x-80">&nbsp;but</span><span
-class="cmsltt-10x-x-80">&nbsp;letter</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;physical</span><span
-class="cmsltt-10x-x-80">&nbsp;one</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\title{My</span><span
-class="cmtt-8">&nbsp;Great</span><span
-class="cmtt-8">&nbsp;Article}</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 165--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">16.2 </span> <a
- id="x17-18200016.2"></a>The Predefined Layouts</h4>
-
-
-<!--l. 167--><p class="noindent">This section explains the predefined layouts in more detail. You select a layout using the following
-command:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox150"><span
-class="cmtt-10">\pgfpagesuselayout</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182001"></a>
- <!--l. 170--><p class="noindent">Installs the specified <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt; </span>with the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>set. The predefined layouts and their permissible
- options are explained below.
- <!--l. 174--><p class="noindent">If this function is called multiple times, only the last call &#8220;wins.&#8221; You can thereby overwrite any
- previous settings. In particular, layouts <span
-class="cmti-10">do not </span>accumulate.
- <!--l. 178--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout{resize</span><span
-class="cmtt-10">&nbsp;to}[a4paper]</span></span></span> </dd></dl>
-<!--l. 181--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox151"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">resize to</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182002"></a>
-<a
- id="dx17-182003"></a>
- <!--l. 182--><p class="noindent">This layout is used to resize every logical page to a specified physical size. To determine the target size, the
- following options may be given:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">physical</span><span
-class="cmtt-10">&nbsp;paper</span><span
-class="cmtt-10">&nbsp;height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> sets the height of the physical pape size to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">physical</span><span
-class="cmtt-10">&nbsp;paper</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> sets the width of the physical pape size to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a0paper</span></span></span> sets the physical page size to DIN A0 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a1paper</span></span></span> sets the physical page size to DIN A1 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a2paper</span></span></span> sets the physical page size to DIN A2 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a3paper</span></span></span> sets the physical page size to DIN A3 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a4paper</span></span></span> sets the physical page size to DIN A4 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a5paper</span></span></span> sets the physical page size to DIN A5 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a6paper</span></span></span> sets the physical page size to DIN A6 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">letterpaper</span></span></span> sets the physical page size to the American letter paper size.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">legalpaper</span></span></span> sets the physical page size to the American legal paper size.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">executivepaper</span></span></span> sets the physical page size to the American executive paper size.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">landscape</span></span></span> swaps the height and the width of the physical paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span><span
-class="cmtt-10">&nbsp;shrink=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> additionally reduces the size of the logical page on the physical page by
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span>.</li></ul>
- </dd></dl>
-<!--l. 224--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox152"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">2 on 1</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182004"></a>
-<a
- id="dx17-182005"></a>
- <!--l. 225--><p class="noindent">Puts two logical pages alongside each other on each physical page if the logical height is larger than
- the logical width (logical pages are in portrait mode). Otherwise, two logical pages are put on top of
- each other (logical pages are in landscape mode). When using this layout, it is advisable to use the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nofiles</span></span></span> command, but this is not done automatically.
- <!--l. 232--><p class="noindent">The same <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>as for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;to</span></span></span> layout an be used, plus the following option:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">odd</span><span
-class="cmtt-10">&nbsp;numbered</span><span
-class="cmtt-10">&nbsp;pages</span><span
-class="cmtt-10">&nbsp;right</span></span></span> places the first page on the right.</li></ul>
- </dd></dl>
-<!--l. 242--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox153"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">4 on 1</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182006"></a>
-<a
- id="dx17-182007"></a>
- <!--l. 243--><p class="noindent">Puts four logical pages on a single physical page. The same <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>as for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;to</span></span></span> layout an
- be used. </dd></dl>
-<!--l. 247--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox154"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">8 on 1</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182008"></a>
-<a
- id="dx17-182009"></a>
- <!--l. 248--><p class="noindent">Puts eight logical pages on a single physical page. As for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span>, the orientation depends on whether
- the logical pages are in landscape mode or in portrait mode. </dd></dl>
-<!--l. 253--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox155"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">16 on 1</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182010"></a>
-<a
- id="dx17-182011"></a>
- <!--l. 254--><p class="noindent">This is for the <span
-class="cmcsc-10"><small
-class="small-caps">C</small><small
-class="small-caps">E</small><small
-class="small-caps">O</small></span>. </dd></dl>
-<!--l. 257--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox156"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">rounded corners</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182012"></a>
-<a
- id="dx17-182013"></a>
- <!--l. 259--><p class="noindent">This layout adds &#8220;rounded corners&#8221; to every page, which, supposedly, looks nicer during presentations
- with projectors (personally, I doubt this). This is done by (possibly) resizing the page to the physical
- page size. Then four black rectangles are drawn in each corner. Next, a clipping region is set up that
- contains all of the logical page except for little rounded corners. Finally, the logical page is draw,
- clipped against the clipping region.
- <!--l. 268--><p class="noindent">Note that every logical page should fill its background for this to work.
- <!--l. 271--><p class="noindent">In addition to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>that can be given to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;to</span></span></span> the following options may be given.
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">corner</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> specifies the size of the corner.</li></ul>
-
-
- <!--l. 278--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-385-" ><colgroup id="TBL-385-1g"><col
-id="TBL-385-1"></colgroup><tr
- valign="baseline" id="TBL-385-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-385-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{beamer}</span>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{rounded</span><span
-class="cmtt-8">&nbsp;corners}[corner</span><span
-class="cmtt-8">&nbsp;width=5pt]</span>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 288--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox157"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">two screens with lagging second</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182014"></a>
-<a
- id="dx17-182015"></a>
- <!--l. 289--><p class="noindent">This layout puts two logical pages alongside each other. The second page always shows what the main
- page showed on the previous physical page. Thus, the second page &#8220;lags behind&#8221; the main page. This
- can be useful when you have to projectors attached to your computer and can show different parts of
- a physical page on different projectors.
- <!--l. 296--><p class="noindent">The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>may be given:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;right</span></span></span> puts the second page right of the main page. This will make the physical pages
- twice as wide as the logical pages, but it will retain the height.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;left</span></span></span> puts the second page left, otherwise it behave the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;right</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;bottom</span></span></span> puts the second page below the main page. This make the physical pages twice
- as high as the logical ones.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;top</span></span></span> works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;bottom</span></span></span>.</li></ul>
- </dd></dl>
-<!--l. 310--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox158"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">two screens with optional second</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182016"></a>
-<a
- id="dx17-182017"></a>
- <!--l. 311--><p class="noindent">This layout works similarly to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">two</span><span
-class="cmtt-10">&nbsp;screens</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;lagging</span><span
-class="cmtt-10">&nbsp;second</span></span></span>. The difference is that the contents
- of the second screen only changes when one of the commands <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshipoutlogicalpage{2}</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfcurrentpagewillbelogicalpage{2}</span></span></span> is called. The first puts the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt; </span>on the second page.
- The second specifies that the current page should be put there, once it is finished.
- <!--l. 319--><p class="noindent">The same options as for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">two</span><span
-class="cmtt-10">&nbsp;screens</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;lagging</span><span
-class="cmtt-10">&nbsp;second</span></span></span> may be given. </dd></dl>
-<!--l. 325--><p class="indent"> You can define your own predefined layouts using the following command:
-<!--l. 329--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox159"><span
-class="cmtt-10">\pgfpagesdeclarelayout</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">before actions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">after actions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182018"></a>
- <!--l. 330--><p class="noindent">This command predefines a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt; </span>that can later be installed using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout</span></span></span>
- command.
- <!--l. 333--><p class="noindent">When <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">] </span>is called, the following happens: First, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">before</span>
- <span
-class="cmti-10">actions</span><span
-class="cmsy-10">&gt; </span>are executed. They can be used, for example, to setup default values for keys. Next,
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\setkeys{pgfpagesuselayoutoption}</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>is executed. Finally, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">after actions</span><span
-class="cmsy-10">&gt; </span>are
- executed.
- <!--l. 339--><p class="noindent">Here is an example:
-
-
- <!--l. 340--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-386-" ><colgroup id="TBL-386-1g"><col
-id="TBL-386-1"></colgroup><tr
- valign="baseline" id="TBL-386-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-386-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpagesdeclarelayout{resize</span><span
-class="cmtt-8">&nbsp;to}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\def\pgfpageoptionborder{0pt}</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;\pgfpagesphysicalpageoptions</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmsltt-10x-x-80">%</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;logical</span><span
-class="cmtt-8">&nbsp;pages=1,</span><span
-class="cmsltt-10x-x-80">%</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;physical</span><span
-class="cmtt-8">&nbsp;height=\pgfpageoptionheight,</span><span
-class="cmsltt-10x-x-80">%</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;physical</span><span
-class="cmtt-8">&nbsp;width=\pgfpageoptionwidth</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpageslogicalpageoptions{1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmsltt-10x-x-80">%</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;resized</span><span
-class="cmtt-8">&nbsp;width=\pgfphysicalwidth,</span><span
-class="cmsltt-10x-x-80">%</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;resized</span><span
-class="cmtt-8">&nbsp;height=\pgfphysicalheight,</span><span
-class="cmsltt-10x-x-80">%</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;border</span><span
-class="cmtt-8">&nbsp;shrink=\pgfpageoptionborder,</span><span
-class="cmsltt-10x-x-80">%</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;center=\pgfpoint{.5\pgfphysicalwidth}{.5\pgfphysicalheight}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 366--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">16.3 </span> <a
- id="x17-18300016.3"></a>Defining a Layout</h4>
-<!--l. 368--><p class="noindent">If none of the predefined layouts meets your problem or if you wish to modify them, you can create layouts from
-scratch. This section explains how this is done.
-<!--l. 372--><p class="indent"> Basically, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> hooks into <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shipout</span></span></span> function. This function is called whenever <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;has completed
-typesetting a page and wishes to send this page to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> file. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> package redefines this
-command. Instead of sending the page to the output file, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> stores it in an internal box and then
-acts as if the page had been output. When <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;tries to output the next page using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shipout</span></span></span>, this
-call is once more intercepted and the page is stored in another box. These boxes are called <span
-class="cmti-10">logical</span>
-<span
-class="cmti-10">pages</span>.
-<!--l. 381--><p class="indent"> At some point, enough logical pages have been accumulated such that a <span
-class="cmti-10">physical page </span>can be output. When this
-happens, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> possibly scales, rotates, and translates the logical pages (and possibly even does
-further modifications) and then puts them at certain positions of the <span
-class="cmti-10">physical </span>page. Once this page is
-fully assembled, the &#8220;real&#8221; or &#8220;original&#8221; <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shipout</span></span></span> is called to send the physical page to the output
-file.
-<!--l. 389--><p class="indent"> In reality, things are slightly more complicated. First, once a physical page has been shipped out, the logical
-pages are usually voided, but this need not be the case. Instead, it is possible that certain logical page just retain
-their contents after the physical page has been shipped out and these pages need not be filled once more before a
-physical shipout can occur. However, the contents of these logical pages can still be changed using special
-commands. It is also possible that after a shipout certain logical pages are filled with the contents of <span
-class="cmti-10">other </span>logical
-pages.
-<!--l. 399--><p class="indent"> A <span
-class="cmti-10">layout </span>defines for each logical page where it will go on the physical page and which further modifications
-should be done. The following two commands are used to define the layout:
-<!--l. 403--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox160"><span
-class="cmtt-10">\pgfpagesphysicalpageoptions</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx17-183001"></a>
- <!--l. 404--><p class="noindent">This command sets the characteristic of the &#8220;physical&#8221; page. For example, it is used to specify how
- many logical pages there are and how many logical pages must be accumulated before a physical
- page is shipped out. How each individual logical page is typeset is specified using the command
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpageslogicalpageoptions</span></span></span>, described later.
- <!--l. 411--><p class="noindent"><span
-class="cmti-10">Example: </span>A layout for putting two portrait pages on a single landscape page:
-
-
- <!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-387-" ><colgroup id="TBL-387-1g"><col
-id="TBL-387-1"></colgroup><tr
- valign="baseline" id="TBL-387-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-387-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpagesphysicalpageoptions</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;logical</span><span
-class="cmtt-8">&nbsp;pages=2,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;physical</span><span
-class="cmtt-8">&nbsp;height=\paperwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;physical</span><span
-class="cmtt-8">&nbsp;width=\paperheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span>
-<br>
-<br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{1}</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;width=.5\pgfphysicalwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;height=\pgfphysicalheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;center=\pgfpoint{.25\pgfphysicalwidth}{.5\pgfphysicalheight}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{2}</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;width=.5\pgfphysicalwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;height=\pgfphysicalheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;center=\pgfpoint{.75\pgfphysicalwidth}{.5\pgfphysicalheight}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span><span
-class="cmsltt-10x-x-80">%</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 435--><p class="noindent">The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>may be set:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">logical</span><span
-class="cmtt-10">&nbsp;pages=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span> specified how many logical pages there are, in total. These are
- numbered 1 to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">first</span><span
-class="cmtt-10">&nbsp;logical</span><span
-class="cmtt-10">&nbsp;shipout=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt;</span>. See the the next option. By default, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt; </span>is 1.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">last</span><span
-class="cmtt-10">&nbsp;logical</span><span
-class="cmtt-10">&nbsp;shipout=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt;</span>. Together with the previous option, these two options define an
- interval of pages inside the range 1 to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span>. Only this range is used to store the pages
- that are shipped out by <span class="TEX">T<span
-class="E">E</span>X</span>. This means that after a physical shipout has just occured (or at
- the beginning), the first time <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;wishes to perform a shipout, the page to be shipped out is
- stored in logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt;</span>. The next time <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;performs a shipout, the page is stored in logical
- page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt;</span>+1 and so on, until the logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt; </span>is also filled. Once this happens, a physical
- shipout occurs and the process starts once more.
- <!--l. 454--><p class="noindent">Note that logical pages that lie outside the interval between <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt; </span>are filled only
- indirectly or when special commands are used.
- <!--l. 458--><p class="noindent">By default, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt; </span>equals <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">current</span><span
-class="cmtt-10">&nbsp;logical</span><span
-class="cmtt-10">&nbsp;shipout=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt;</span> changes an internal counter such that <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s next logical
- shipout will be stored in logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 463--><p class="noindent">This option can be used to &#8220;warp&#8221; the logical page filling mechanism to a certain page. You can
- both skip logical pages and overwrite already filled logical pages. After the logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt;</span>
- has been filled, the internal counter is incremented normally as if the logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt; </span>had
- been &#8220;reached&#8221; normally. If you specify a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt; </span>larger to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt;</span>, a physical shipout will occur
- after the logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt; </span>has been filled.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">physical</span><span
-class="cmtt-10">&nbsp;height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span> specifies the height of the physical pages. This height is typically
- different from the normal <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\paperheight</span></span></span>, which is used by <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;for its typesetting and page
- breaking purposes.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">physical</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span> specifies the physical width.</li></ul>
- </dd></dl>
-<!--l. 483--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox161"><span
-class="cmtt-10">\pgfpageslogicalpageoptions</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx17-183002"></a>
-
-
- <!--l. 484--><p class="noindent">This command is used to specify where the logical page number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt; </span>will be placed on
- the physical page. In addition, this command can be used to install additional &#8220;code&#8221; to be executed
- when this page is put on the physical page.
- <!--l. 489--><p class="noindent">The number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt; </span>should be between 1 and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span>, which has previously been
- installed using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesphysicalpageoptions</span></span></span> command.
- <!--l. 493--><p class="noindent">The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>may be given:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pgf point</span><span
-class="cmsy-10">&gt;</span> specifies the center of the logical page inside the physical page as a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-point.
- The origin of the coordinate system of the physical page is at the <span
-class="cmti-10">lower </span>left corner.
- <!--l. 501--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-388-" ><colgroup id="TBL-388-1g"><col
-id="TBL-388-1"></colgroup><tr
- valign="baseline" id="TBL-388-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-388-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{1}</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;center</span><span
-class="cmsltt-10x-x-80">&nbsp;logical</span><span
-class="cmsltt-10x-x-80">&nbsp;page</span><span
-class="cmsltt-10x-x-80">&nbsp;on</span><span
-class="cmsltt-10x-x-80">&nbsp;middle</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;left</span><span
-class="cmsltt-10x-x-80">&nbsp;side</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;center=\pgfpoint{.25\pgfphysicalwidth}{.5\pgfphysicalheight}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;width=.5\pgfphysicalwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;height=\pgfphysicalheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resized</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> specifies the width that the logical page should have <span
-class="cmti-10">at most </span>on the physical page.
- To achieve this width, the pages is scaled down appropriately <span
-class="cmti-10">or more</span>. The &#8220;or more&#8221; part can
- happen if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;height</span></span></span> option is also used. In this case, the scaling is chosen such
- that both the specified height and width are met. The aspect ratio of a logical page is not
- modified.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resized</span><span
-class="cmtt-10">&nbsp;height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span> specifies the maximum height of the logical page.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">original</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span> specifies the width the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;&#8220;thinks&#8221; that the logical page has. This width is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\paperwidth</span></span></span> at the point of invocation, by default. Note that setting this width to something different
- from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\paperwidth</span></span></span> does <span
-class="cmti-10">not </span>change the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pagewidth</span></span></span> during <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s typesetting. You have to do that
- yourself.
- <!--l. 530--><p class="noindent">You need this option only for special logical pages that have a height or width different from the normal
- one and for which you will (later on) set these sizes yourself.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">original</span><span
-class="cmtt-10">&nbsp;height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span> works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">original</span><span
-class="cmtt-10">&nbsp;width</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span> scales the page by at least the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>. A <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> will half the size of the
- page, a factor or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2</span></span></span> will double the size. &#8220;At least&#8221; means that if options like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;height</span></span></span> are given
- and if the scaling required to meet that option is less than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>, that other scaling is used
- instead.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xscale=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span> scales the logical page along the <span
-class="cmmi-10">x</span>-axis by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>. This scaling is done
- independently of any other scaling. Mostly, this option is useful for a factor of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-1</span></span></span>, which flips the page
- along the <span
-class="cmmi-10">y</span>-axis. The aspect ratio is not kept.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">yscale=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span> works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xscale</span></span></span>, only for the <span
-class="cmmi-10">y</span>-axis.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rotation=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span> rotates the page by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt; </span>around its center. Use a degree of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">90</span></span></span> or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-90</span></span></span> to go from portrait to landscape and back. The rotation need not be a multiple of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">90</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">copy</span><span
-class="cmtt-10">&nbsp;from=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt;</span>. Normally, after a physical shipout has occured, all logical pages are
- voided in a loop. However, if this option is given, the current logical page is filled with the contents of the
- old logical page number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 565--><p class="noindent"><span
-class="cmti-10">Example: </span>Have logical page 2 retain its contents:
-
-
- <!--l. 566--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-389-" ><colgroup id="TBL-389-1g"><col
-id="TBL-389-1"></colgroup><tr
- valign="baseline" id="TBL-389-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-389-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{2}{copy</span><span
-class="cmtt-8">&nbsp;from=2}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 570--><p class="noindent"><span
-class="cmti-10">Example: </span>Let logical page 2 show what logical page 1 showed on the just-shipped-out physical
- page:
- <!--l. 572--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-390-" ><colgroup id="TBL-390-1g"><col
-id="TBL-390-1"></colgroup><tr
- valign="baseline" id="TBL-390-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-390-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{2}{copy</span><span
-class="cmtt-8">&nbsp;from=1}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span><span
-class="cmtt-10">&nbsp;shrink</span></span></span>=<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> specifies an addition reduction of the size to which the page is page is scaled
- down.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span><span
-class="cmtt-10">&nbsp;code</span></span></span>=<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>. When this option is given, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed before the page box is
- inserted with a path preinstalled that is a rectangle around the current logical page. Thus,
- setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfstroke</span></span></span> draws a rectangle around the logical page. Setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>to
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetlinewidth{3pt}\pgfstroke</span></span></span> results in a thick (ugly) frame. Adding dashes and filling can result
- in arbitrarily funky and distracting borders.
- <!--l. 589--><p class="noindent">You can also call <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdiscardpath</span></span></span> and add your own path construction code (for example to paint a
- rectangle with rounded corners). The coordinate system is setup in such a way that a rectangle starting
- at the origin and having the height and width of <span class="TEX">T<span
-class="E">E</span>X</span>-box 0 will result in a rectangle filling exactly the
- logical page currently being put on the physical page. The logical page is inserted <span
-class="cmti-10">after </span>these commands
- have been executed.
- <!--l. 597--><p class="noindent"><span
-class="cmti-10">Example: </span>Add a rectangle around the page:
- <!--l. 598--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-391-" ><colgroup id="TBL-391-1g"><col
-id="TBL-391-1"></colgroup><tr
- valign="baseline" id="TBL-391-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-391-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{1}{border</span><span
-class="cmtt-8">&nbsp;code=\pgfstroke}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">corner</span><span
-class="cmtt-10">&nbsp;width</span></span></span>=<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> adds black &#8220;rounded corners&#8221; to the page. See the description of the predefined
- layout <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rounded</span><span
-class="cmtt-10">&nbsp;corners</span></span></span> on page&nbsp;<a
-href="#x17-18200016.2">211<!--tex4ht:ref: section-plot-handlers --></a>.</li></ul>
- </dd></dl>
-<!--l. 612--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">16.4 </span> <a
- id="x17-18400016.4"></a>Creating Logical Pages</h4>
-<!--l. 614--><p class="noindent">Logical pages are created whenever a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;thinks that a page is full and performs a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shipout</span></span></span> command. This will
-cause <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> to store the box that was supposed to be shipped out internally until enough logical pages have
-been collected such that a physical shipout can occur.
-<!--l. 620--><p class="indent"> Normally, whenever a logical shipout occurs that current page is stored in logical page number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current logical</span>
-<span
-class="cmti-10">page</span><span
-class="cmsy-10">&gt;</span>. This counter is then incremented, until it is larger than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last logical shipout</span><span
-class="cmsy-10">&gt;</span>. You can, however, directly
-change the value of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current logical page</span><span
-class="cmsy-10">&gt; </span>by calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesphysicalpageoptions</span></span></span>.
-<!--l. 626--><p class="indent"> Another way to set the contents of a logical page is to use the following command:
-<!--l. 629--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox162"><span
-class="cmtt-10">\pgfpagesshipoutlogicalpage</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
-<a
- id="dx17-184001"></a>
- <!--l. 630--><p class="noindent">This command sets to logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt; </span>to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt; </span>should be the code of a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box
- command. This command does not influence the counter <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current logical page</span><span
-class="cmsy-10">&gt; </span>and does not cause a
- physical shipout.
- <!--l. 635--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-392-" ><colgroup id="TBL-392-1g"><col
-id="TBL-392-1"></colgroup><tr
- valign="baseline" id="TBL-392-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-392-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpagesshipoutlogicalpage{0}\vbox{Hi!}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 639--><p class="noindent">This command can be used to set the contents of logical pages that are normally not filled. </dd></dl>
-<!--l. 643--><p class="indent"> The final way of setting a logical page is using the following command:
-<!--l. 646--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox163"><span
-class="cmtt-10">\pgfpagescurrentpagewillbelogicalpage</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx17-184002"></a>
- <!--l. 647--><p class="noindent">When the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;page has been typeset, it will be become the given logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt;</span>. This
- command &#8220;interrupts&#8221; the normal order of logical pages, that is, it behaves like the previous command
- and does not update the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current logical page</span><span
-class="cmsy-10">&gt; </span>counter.
- <!--l. 653--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-393-" ><colgroup id="TBL-393-1g"><col
-id="TBL-393-1"></colgroup><tr
- valign="baseline" id="TBL-393-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-393-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpagesuselayout{two</span><span
-class="cmtt-8">&nbsp;screens</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;optional</span><span
-class="cmtt-8">&nbsp;second}</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">Text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;main</span><span
-class="cmtt-8">&nbsp;page.</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br>
-<br><span
-class="cmtt-8">\pgfpagescurrentpagewillbelogicalpage{2}</span>
-<br><span
-class="cmtt-8">Text</span><span
-class="cmtt-8">&nbsp;that</span><span
-class="cmtt-8">&nbsp;goes</span><span
-class="cmtt-8">&nbsp;to</span><span
-class="cmtt-8">&nbsp;second</span><span
-class="cmtt-8">&nbsp;page</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br>
-<br><span
-class="cmtt-8">Text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;main</span><span
-class="cmtt-8">&nbsp;page.</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse17.html" >next</a>] [<a
-href="pgfmanualse15.html" >prev</a>] [<a
-href="pgfmanualse15.html#tailpgfmanualse15.html" >prev-tail</a>] [<a
-href="pgfmanualse16.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse16.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse16.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse17.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse17.html
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--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse17.html
+++ /dev/null
@@ -1,260 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>17 Extended Color Support</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse16.html" >prev</a>] [<a
-href="pgfmanualse16.html#tailpgfmanualse16.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse17.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse17.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">17 </span> <a
- id="x18-18500017"></a>Extended Color Support</h3>
-<!--l. 9--><p class="noindent">This section documents the package <span
-class="cmtt-10">xxcolor</span>, which is currently distributed as part of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. This package
-extends the <span
-class="cmtt-10">xcolor </span>package, written by Uwe Kern, which in turn extends the <span
-class="cmtt-10">color </span>package. I hope
-that the commands in <span
-class="cmtt-10">xxcolor </span>will some day migrate to <span
-class="cmtt-10">xcolor</span>, such that this package becomes
-superfluous.
-<!--l. 16--><p class="indent"> The main aim of the <span
-class="cmtt-10">xxcolor </span>package is to provide an environment inside which all colors are &#8220;washed out&#8221; or
-&#8220;dimmed.&#8221; This is useful in numerous situations and must typically be achieved in a roundabout manner if such an
-environment is not available.
-<!--l. 21--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox164"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">colormixin</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mix-in specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox165"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox166"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">colormixin</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx18-185001"></a>
-<a
- id="dx18-185002"></a>
- <!--l. 22--><p class="noindent">The mix-in specification is applied to all colors inside the environment. At the beginning of the
- environment, the mix-in is applied to the current color, i. e., the color that was in effect before the
- environment started. A mix-in specification is a number between 0 and 100 followed by an exclamation
- mark and a color name. When a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command is encountered inside a mix-in environment, the
- number states what percentage of the desired color should be used. The rest is &#8220;filled up&#8221; with the
- color given in the mix-in specification. Thus, a mix-in specification like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">90!blue</span></span></span> will mix in 10% of
- blue into everything, whereas <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">25!white</span></span></span> will make everything nearly white.
- <!--l. 35--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-394-" ><colgroup id="TBL-394-1g"><col
-id="TBL-394-1"><col
-id="TBL-394-2"></colgroup><tr
- valign="baseline" id="TBL-394-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-394-1-1"
-class="td11"> &nbsp;<table class="minipage"><tr><td>Red text,washed-out red
-text, washed-out blue text,
-dark washed-out blue
-text, dark washed-out
-green text,
-back to washed-out blue
-text,
-and back to red. </td></tr></table>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-394-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{minipage}{3.5cm}\raggedright</span>
-<br><span
-class="cmtt-8">\color{red}Red</span><span
-class="cmtt-8">&nbsp;text,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\begin{colormixin}{25!white}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;red</span><span
-class="cmtt-8">&nbsp;text,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{blue}</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;blue</span><span
-class="cmtt-8">&nbsp;text,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{colormixin}{25!black}</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;dark</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;blue</span><span
-class="cmtt-8">&nbsp;text,</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;\color{green}</span><span
-class="cmtt-8">&nbsp;dark</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;green</span><span
-class="cmtt-8">&nbsp;text,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{colormixin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;back</span><span
-class="cmtt-8">&nbsp;to</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;blue</span><span
-class="cmtt-8">&nbsp;text,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\end{colormixin}</span>
-<br><span
-class="cmtt-8">and</span><span
-class="cmtt-8">&nbsp;back</span><span
-class="cmtt-8">&nbsp;to</span><span
-class="cmtt-8">&nbsp;red.</span>
-<br><span
-class="cmtt-8">\end{minipage}</span><span
-class="cmsltt-10x-x-80">%</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 52--><p class="indent"> Note that the environment only changes colors that have been installed using the standard <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span>
-command. In particular, the colors in images are not changed. There is, however, some support offered by the
-commands <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseshading</span></span></span>. If the first command is invoked inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">colormixin</span></span></span> environment
-with the parameter, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">50!black</span></span></span> on an image with the name <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foo</span></span></span>, the command will first check whether there is
-also a defined image with the name <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foo.!50!black</span></span></span>. If so, this image is used instead. This allows you to provide a
-different image for this case. If you nest <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">colormixin</span></span></span> environments, the different mix-ins are all appended. For
-example, inside the inner environment of the above example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage{foo}</span></span></span> would first check whether there
-exists an image named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foo.!50!white!25!black</span></span></span>.
-
-
-<!--l. 67--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox167"><span
-class="cmtt-10">\colorcurrentmixin</span></span> </dt><dd
-class="description">
-<a
- id="dx18-185003"></a>
- <!--l. 68--><p class="noindent">Expands to the current accumulated mix-in. Each nesting of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">colormixin</span></span></span> adds a mix-in to this
- list.
- <!--l. 70--><p class="noindent"><div class="obeylines-v"></div><table class="minipage"><tr><td>!75!white&nbsp;should be &#8220;!75!white&#8221;
-<!--l. 1--><p class="noindent">!75!black!75!white&nbsp;should be &#8220;!75!black!75!white&#8221;
-<!--l. 1--><p class="noindent">!50!white!75!black!75!white&nbsp;should be &#8220;!50!white!75!black!75!white&#8221; </td></tr></table><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-395-" ><colgroup id="TBL-395-1g"><col
-id="TBL-395-1"></colgroup><tr
- valign="baseline" id="TBL-395-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-395-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{minipage}{\linewidth-6pt}\raggedright</span>
-<br><span
-class="cmtt-8">\begin{colormixin}{75!white}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorcurrentmixin\</span><span
-class="cmtt-8">&nbsp;should</span><span
-class="cmtt-8">&nbsp;be</span><span
-class="cmtt-8">&nbsp;``!75!white''\par</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{colormixin}{75!black}</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;\colorcurrentmixin\</span><span
-class="cmtt-8">&nbsp;should</span><span
-class="cmtt-8">&nbsp;be</span><span
-class="cmtt-8">&nbsp;``!75!black!75!white''\par</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;\begin{colormixin}{50!white}</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;\colorcurrentmixin\</span><span
-class="cmtt-8">&nbsp;should</span><span
-class="cmtt-8">&nbsp;be</span><span
-class="cmtt-8">&nbsp;``!50!white!75!black!75!white''\par</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;\end{colormixin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{colormixin}</span>
-<br><span
-class="cmtt-8">\end{colormixin}</span>
-<br><span
-class="cmtt-8">\end{minipage}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse16.html" >prev</a>] [<a
-href="pgfmanualse16.html#tailpgfmanualse16.html" >prev-tail</a>] [<a
-href="pgfmanualse17.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse17.html" >up</a>] </p></div>
-<!--l. 224--><p class="indent"> <a
- id="tailpgfmanualse17.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse18.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse18.html
deleted file mode 100644
index 8904a03571a..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse18.html
+++ /dev/null
@@ -1,285 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>18 Design Principles</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse19.html" >next</a>] [<a
-href="#tailpgfmanualse18.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse18.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">18 </span> <a
- id="x19-18700018"></a>Design Principles</h3>
-<!--l. 10--><p class="noindent">This section describes the basic layer of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. This layer is build on top of the system layer. Whereas the system
-layer just provides the absolute minimum for drawing graphics, the basic layer provides numerous commands that
-make it possible to create sophisticated graphics easily and also quickly.
-<!--l. 16--><p class="indent"> The basic layer does not provide a convenient syntax for describing graphics, which is left to frontends like Ti<span
-class="cmti-10">k</span>Z.
-For this reason, the basic layer is typically used only by &#8220;other programs.&#8221; For example, the <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small> </span>package uses
-the basic layer extensively, but does not need a convenient input syntax. Rather, speed and flexibility are needed
-when <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small> </span>creates graphics.
-<!--l. 23--><p class="indent"> The following basic design principles underlie the basic layer:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x19-187002x1"></a>Structuring into a core and several optional packages.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x19-187004x2"></a>Consistently named <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;macros for all graphics commands.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x19-187006x3"></a>Path-centered description of graphics.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x19-187008x4"></a>Coordinate transformation system.</li></ol>
-<!--l. 33--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">18.1 </span> <a
- id="x19-18800018.1"></a>Core and Optional Packages</h4>
-<!--l. 35--><p class="noindent">The basic layer consists of a <span
-class="cmti-10">core package</span>, called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>, which provides the most basic commands, and several
-optional package like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshade</span></span></span> that offer more special-purpose commands.
-<!--l. 39--><p class="indent"> You can include the core by saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{pgfcore}</span></span></span> or, as a plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;user, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;pgfcore.tex</span></span></span>.
-<!--l. 42--><p class="indent"> The following optional packages are provided by the basic layer:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span> provides commands for plotting functions.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshapes</span></span></span> provides commands for drawing shapes and nodes.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span> provides commands for including external images. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> package does a much
- better job at this than the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span> package does, so you should normally use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\includegraphics</span></span></span>
- and not <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfimage</span></span></span>. However, in some situations (like when masking is needed or when plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;is
- used) this package is needed.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaselayers</span></span></span> provides commands for creating layered graphics. Using layers you can later on say
- that a certain path should be behind a path that was specified earlier.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbasesnakes</span></span></span> provides commands for adding snaked lines to the path. Such lines are not straight
- but rather wind in some specific fashion.</li></ul>
-<!--l. 66--><p class="indent"> If you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{pgf}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;pgf.tex</span></span></span>, all of the optional packages are loaded (as well as the core
-and the system layer).
-
-
-<!--l. 70--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">18.2 </span> <a
- id="x19-18900018.2"></a>Communicating with the Basic Layer via Macros</h4>
-<!--l. 72--><p class="noindent">In order to &#8220;communicate&#8221; with the basic layer you use long sequences of commands that start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf</span></span></span>. You are
-only allowed to give these commands inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. (Note that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> opens a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> internally, so you can freely mix <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands and Ti<span
-class="cmti-10">k</span>Z&nbsp;commands inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span>.) It
-is possible to &#8220;do other things&#8221; between the commands. For example, you might use one command
-to move to a certain point, then have a complicated computation of the next point, and then move
-there.
-<!--l. 82--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-397-" ><colgroup id="TBL-397-1g"><col
-id="TBL-397-1"><col
-id="TBL-397-2"></colgroup><tr
- valign="baseline" id="TBL-397-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-397-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-470.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-397-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newdimen\myypos</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0cm}{\myypos}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{\myypos}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance</span><span
-class="cmtt-8">&nbsp;\myypos</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;1cm</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{\myypos}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathclose</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 94--><p class="indent"> The following naming conventions are used in the basic layer:
-<!--l. 96--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x19-189002x1"></a>All commands and environments start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x19-189004x2"></a>All commands that specify a point (a coordinate) start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint</span></span></span>.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x19-189006x3"></a>All commands that extend the current path start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpath</span></span></span>.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x19-189008x4"></a>All commands that set/change a graphics parameter start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfset</span></span></span>.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x19-189010x5"></a>All commands that use a previously declared object (like a path, image or shading) start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuse</span></span></span>.
- </li>
- <li class="enumerate" value="6"
-><a
- id="x19-189012x6"></a>All commands having to do with coordinate transformations start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransform</span></span></span>.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x19-189014x7"></a>All commands having to do with arrow tips start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfarrows</span></span></span>.
- </li>
- <li class="enumerate" value="8"
-><a
- id="x19-189016x8"></a>All commands for &#8220;quickly&#8221; extending or drawing a path start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathq</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepathq</span></span></span>.</li></ol>
-<!--l. 119--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">18.3 </span> <a
- id="x19-19000018.3"></a>Path-Centered Approach</h4>
-<!--l. 121--><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>&nbsp;the most important entity is the <span
-class="cmti-10">path</span>. All graphics are composed of numerous paths that can be stroked,
-filled, shaded, or clipped against. Paths can be closed or open, they can self-intersect and consist of unconnected
-parts.
-<!--l. 126--><p class="indent"> Paths are first <span
-class="cmti-10">constructed </span>and then <span
-class="cmti-10">used</span>. In order to construct a path, you can use commands
-starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpath</span></span></span>. Each time such a command is called, the current path is extended in some
-way.
-<!--l. 131--><p class="indent"> Once a path has been completely constructed, you can use it using the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span>. Depending on
-the parameters given to this command, the path will be stroked (drawn) or filled or subsequent drawings will be
-clipped against this path.
-
-
-<!--l. 139--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">18.4 </span> <a
- id="x19-19100018.4"></a>Coordinate Versus Canvas Transformations</h4>
-<!--l. 143--><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;provides two transformation systems: <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 own <span
-class="cmti-10">coordinate </span>transformation matrix and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&#8217;s or PostScript&#8217;s
-<span
-class="cmti-10">canvas </span>transformation matrix. These two systems are quite different. Whereas a scaling by a factor of, say, 2 of the
-canvas causes <span
-class="cmti-10">everything </span>to be scaled by this factor (including the thickness of lines and text), a scaling of
-two in the coordinate system causes only the <span
-class="cmti-10">coordinates </span>to be scaled, but not the line width nor
-text.
-<!--l. 152--><p class="indent"> By default, all transformations only apply to the coordinate transformation system. However, using the
-command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevel</span></span></span> it is possible to apply a transformation to the canvas.
-<!--l. 156--><p class="indent"> Coordinate transformations are often preferable over canvas transformations. Text and lines that are transformed
-using canvas transformations suffer from differing sizes and lines whose thickness differs depending on whether the
-line is horizontal or vertical. To appreciate the difference, consider the following two &#8220;circles&#8221; both of which
-have been scaled in the <span
-class="cmmi-10">x</span>-direction by a factor of 3 and by a factor of 0<span
-class="cmmi-10">.</span>5 in the <span
-class="cmmi-10">y</span>-direction. The left
-circle uses a canvas transformation, the right uses <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 coordinate transformation (some viewers will
-render the left graphic incorrectly since they do no apply the low-level transformation the way they
-should):
-<!--l. 182--><p class="indent"> <object data="pgfmanual-471.svg" width="598.50533 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse19.html" >next</a>] [<a
-href="pgfmanualse18.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse18.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse18.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse19.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse19.html
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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>19 Hierarchical Structures:
-Package, Environments, Scopes, and Text</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse20.html" >next</a>] [<a
-href="pgfmanualse18.html" >prev</a>] [<a
-href="pgfmanualse18.html#tailpgfmanualse18.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse19.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse19.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">19 </span> <a
- id="x20-19200019"></a>Hierarchical Structures:
-<br class="newline">Package, Environments, Scopes, and Text</h3>
-<!--l. 13--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">19.1 </span> <a
- id="x20-19300019.1"></a>Overview</h4>
-<!--l. 15--><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 two kinds of hierarchical structuring: First, the package itself is structured hierarchically, consisting of
-different packages that are built on top of each other. Second, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;allows you to structure your graphics
-hierarchically using environments and scopes.
-<!--l. 20--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.1.1 </span> <a
- id="x20-19400019.1.1"></a>The Hierarchical Structure of the Package</h5>
-<!--l. 22--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system consists of several layers:
-<!--l. 24--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="cmbx-10">System layer.</span> </dt><dd
-class="description">The lowest layer is called the <span
-class="cmti-10">system layer</span>, though it might also be called &#8220;driver layer&#8221;
- or perhaps &#8220;backend layer.&#8221; Its job is to provide an abstraction of the details of which driver is used
- to transform the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file. The system layer is implemented by the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys</span></span></span>, which will load
- appropriate driver files as needed.
- <!--l. 33--><p class="noindent">The system layer is documented in Part&nbsp;<a
-href="pgfmanual.html#x1-306000V">V<!--tex4ht:ref: part-system --></a>.
- </dd><dt class="description">
-<span
-class="cmbx-10">Basic layer.</span> </dt><dd
-class="description">The basic layer is loaded by the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>. Some applications do not need all of the
- functionality of the basic layer, so it is possible to load only the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span> and some other packages
- starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbase</span></span></span>.
- <!--l. 40--><p class="noindent">The basic layer is documented in the present part.
- </dd><dt class="description">
-<span
-class="cmbx-10">Frontend layer.</span> </dt><dd
-class="description">The frontend layer is not loaded by a single packages. Rather, different packages, like
- Ti<span
-class="cmti-10">k</span>Z&nbsp;or <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small><small
-class="small-caps">P</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">T</small>2<small
-class="small-caps">E</small></span>, are different frontends to the basic layer.
- <!--l. 46--><p class="noindent">The Ti<span
-class="cmti-10">k</span>Z&nbsp;frontend is documented in Part&nbsp;<a
-href="pgfmanual.html#x1-65000II">II<!--tex4ht:ref: part-tikz --></a>.</dd></dl>
-<!--l. 49--><p class="indent"> Each layer will automatically load the necessary files of the layers below it.
-<!--l. 52--><p class="indent"> In addition to the packages of these layers, there are also some library packages. These packages provide
-additional definitions of things like new arrow tips or new plot handlers.
-<!--l. 56--><p class="indent"> The library packages are documented in Part&nbsp;<a
-href="pgfmanual.html#x1-158000III">III<!--tex4ht:ref: part-libraries --></a>.
-<!--l. 61--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.1.2 </span> <a
- id="x20-19500019.1.2"></a>The Hierarchical Structure of Graphics</h5>
-<!--l. 63--><p class="noindent">Graphics in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;are typically structured hierarchically. Hierarchical structuring can be used to identify groups of
-graphical elements that are to be treated &#8220;in the same way.&#8221; For example, you might group together a number of
-paths, all of which are to be drawn in red. Then, when you decide later on that you like them to be drawn in, say,
-blue, all you have to do is to change the color once.
-<!--l. 71--><p class="indent"> The general mechanism underlying hierarchical structuring is known as <span
-class="cmti-10">scoping </span>in computer science. The idea is
-that all changes to the general &#8220;state&#8221; of the graphic that are done inside a scope are local to that
-scope. So, if you change the color inside a scope, this does not affect the color used outside the scope.
-Likewise, when you change the line width in a scope, the line width outside is not changed, and so
-on.
-
-
-<!--l. 79--><p class="indent"> There are different ways of starting and ending scopes of graphic parameters. Unfortunately, these scopes are
-sometimes &#8220;in conflict&#8221; with each other and it is sometimes not immediately clear which scopes apply. In essence,
-the following scoping mechanisms are available:
-<!--l. 84--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x20-195002x1"></a>The &#8220;outermost&#8221; scope supported 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;is the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. All changes to the graphic
- state done inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> are local to that picture.
- <!--l. 90--><p class="noindent">In general, it is <span
-class="cmti-10">not </span>possible to set graphic parameters globally outside any <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environments.
- Thus, you can <span
-class="cmti-10">not </span>say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetlinewidth{1pt}</span></span></span> at the beginning of your document to have a default
- line width of one point. Rather, you have to (re)set all graphic parameters inside each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
- (If this is too bothersome, try defining some macro that does the job for you.)
- </li>
- <li class="enumerate" value="2"
-><a
- id="x20-195004x2"></a>Inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> you can use a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> environment to keep changes of the graphic state
- local to that environment.
- <!--l. 101--><p class="noindent">The effect of commands that change the graphic state are local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> but not
- always to the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. Thus, if you open a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group (some text in curly braces) inside a
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>, and if you change, for example, the dash pattern, the effect of this changed dash pattern
- will persist till the end of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>.
- <!--l. 108--><p class="noindent">Unfortunately, this is not always the case. <span
-class="cmti-10">Some </span>graphic parameters only persist till the end of
- the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. For example, when you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetarrows</span></span></span> to set the arrow tip inside a
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group, the effect lasts only till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x20-195006x3"></a>Some graphic parameters are not scoped by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> but &#8220;already&#8221; by <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups. For example,
- the effect of coordinate transformation commands is always local to the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group.
- <!--l. 119--><p class="noindent">Since every <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> automatically creates a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group, all graphic parameters that are local to
- the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group are also local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x20-195008x4"></a>Some graphic parameters can only be scoped using <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups, since in some situations it is not
- possible to introduce a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. For example, a path always has to be completely constructed and
- used in the same <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. However, we might wish to have different coordinate transformations
- apply to different points on the path. In this case, we can use <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups to keep the effect local, but
- we could not use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x20-195010x5"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command can be used to create a scope in which <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;&#8220;escapes back&#8221; to normal
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode. The text passed to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> is &#8220;heavily guarded&#8221; against having any effect on the
- scope in which it is used. For example, it is possibly to use another <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment inside
- the argument of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span>.</li></ol>
-<!--l. 140--><p class="indent"> Most of the complications can be avoided if you stick to the following rules:
- <ul class="itemize1">
- <li class="itemize">Give graphic commands only inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environments.
- </li>
- <li class="itemize">Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> to structure graphics.
- </li>
- <li class="itemize">Do not use <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups inside graphics, <span
-class="cmti-10">except </span>for keeping the effect of coordinate transformations
- local.</li></ul>
-<!--l. 155--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">19.2 </span> <a
- id="x20-19600019.2"></a>The Hierarchical Structure of the Package</h4>
-<!--l. 157--><p class="noindent">Before we come to the structuring commands provided 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;to structure your graphics, let us first have a look at
-the structure of the package itself.
-
-
-<!--l. 161--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.2.1 </span> <a
- id="x20-19700019.2.1"></a>The Main Package</h5>
-<!--l. 163--><p class="noindent">To use <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, include the following package:
-<!--l. 165--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox168"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgf</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx20-197001"></a>
-<a
- id="dx20-197002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox169"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgf</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox170"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgf</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 166--><p class="noindent">This package loads the complete &#8220;basic layer&#8221; of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. That is, it will load all of the commands described
- in the current part of this manual, but it will not load frontends like Ti<span
-class="cmti-10">k</span>Z.
- <!--l. 170--><p class="noindent">In detail, this package will load the following packages, each of which can also be loaded individually:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys</span></span></span>, which is the lowest layer of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and which is always needed. This file will read <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.cfg</span></span></span>
- to discern which driver is to be used. See Section&nbsp;<a
-href="pgfmanualse32.html#x33-30800032.1">32.1<!--tex4ht:ref: section-pgfsys --></a> for details.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>, which is the central core of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and which is always needed unless you intend to write
- a new basic layer from scratch.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span>, which provides commands for declaring and using images. An example is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshapes</span></span></span>, which provides commands for declaring and using shapes. An example is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareshape</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span>, which provides commands for plotting functions.</li></ul>
- <!--l. 192--><p class="noindent">Including any of the last three packages will automatically load the first two. </dd></dl>
-<!--l. 196--><p class="indent"> In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, the package takes two options:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox171"><span
-class="cmtt-10">\usepackage[</span><span
-class="cmtt-10">draft</span><span
-class="cmtt-10">]{pgf}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-197003"></a>
-<a
- id="dx20-197004"></a>
- <!--l. 198--><p class="noindent">When this option is set, all images will be replaced by empty rectangles. This can speedup compilation.
- </dd></dl>
-<!--l. 202--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox172"><span
-class="cmtt-10">\usepackage[</span><span
-class="cmtt-10">version=</span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">version</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{pgf}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-197005"></a>
-<a
- id="dx20-197006"></a>
- <!--l. 203--><p class="noindent">Indicates that the commands of version <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">version</span><span
-class="cmsy-10">&gt; </span>need to be defined. If you set <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">version</span><span
-class="cmsy-10">&gt; </span>to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.65</span></span></span>,
- then a large bunch of &#8220;compatibility commands&#8221; are loaded. If you set <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">version</span><span
-class="cmsy-10">&gt; </span>to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.96</span></span></span>, then these
- compatibility commands will not be loaded.
- <!--l. 208--><p class="noindent">If this option is not given at all, then the commands of all versions are defined. </dd></dl>
-
-
-<!--l. 213--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.2.2 </span> <a
- id="x20-19800019.2.2"></a>The Core Package</h5>
-<!--l. 215--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox173"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfcore</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx20-198001"></a>
-<a
- id="dx20-198002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox174"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfcore</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox175"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfcore</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 216--><p class="noindent">This package defines all of the basic layer&#8217;s commands, except for the commands defined in the
- additional packages like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span>. Typically commands defined by the core include <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span>
- or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint</span></span></span>. The core is internally structured into several subpackages, but the subpackages cannot
- be loaded individually since they are all &#8220;interrelated.&#8221; </dd></dl>
-<!--l. 225--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.2.3 </span> <a
- id="x20-19900019.2.3"></a>The Optional Basic Layer Packages</h5>
-<!--l. 227--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> package automatically loads the following packages, but you can also load them individually (all of them
-automatically include the core):
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshapes</span></span></span> This package provides commands for drawing nodes and shapes. These commands are
- explained in Section&nbsp;<a
-href="pgfmanualse25.html#x26-26000025">25<!--tex4ht:ref: section-shapes --></a>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span> This package provides commands for plotting function. The commands are explained in
- Section&nbsp;<a
-href="pgfmanualse29.html#x30-29000029">29<!--tex4ht:ref: section-plots --></a>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span> This package provides commands for including (external) images. The commands are
- explained in Section&nbsp;<a
-href="pgfmanualse27.html#x28-28100027">27<!--tex4ht:ref: section-images --></a>.</li></ul>
-<!--l. 249--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">19.3 </span> <a
- id="x20-20000019.3"></a>The Hierarchical Structure of the Graphics</h4>
-<!--l. 251--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.3.1 </span> <a
- id="x20-20100019.3.1"></a>The Main Environment</h5>
-<!--l. 254--><p class="noindent">Most, but not all, commands of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package must be given within a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. The only
-commands that (must) be given outside are commands having to do with including images (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span>) and
-with inserting complete shadings (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseshading</span></span></span>). However, just to keep life entertaining, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshadepath</span></span></span>
-command must be given <span
-class="cmti-10">inside </span>a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment.
-<!--l. 262--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox176"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox177"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
-
-
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox178"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-201001"></a>
-<a
- id="dx20-201002"></a>
- <!--l. 263--><p class="noindent">This environment will insert a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box containing the graphic drawn by the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span>
- at the current position.
- <!--l. 267--><p class="noindent"><span
-class="cmbx-10">The size of the bounding box. </span>The size of the box is determined in the following manner: While
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;parses the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span>, it keeps track of a bounding box for the graphic. Essentially,
- this bounding box is the smallest box that contains all coordinates mentioned in the graphics. Some
- coordinates may be &#8220;mentioned&#8221; 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;itself; for example, when you add circle to the current path,
- the support points of the curve making up the circle are also &#8220;mentioned&#8221; despite the fact that you
- will not &#8220;see&#8221; them in your code.
- <!--l. 278--><p class="noindent">Once the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt; </span>has been parsed completely, a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box is created whose size is the
- size of the computed bounding box and this box is inserted at the current position.
- <!--l. 282--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-398-" ><colgroup id="TBL-398-1g"><col
-id="TBL-398-1"><col
-id="TBL-398-2"></colgroup><tr
- valign="baseline" id="TBL-398-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-398-1-1"
-class="td11"> &nbsp;Hello <object data="pgfmanual-472.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> World!&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-398-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Hello</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span><span
-class="cmtt-8">&nbsp;World!</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 289--><p class="noindent">Sometimes, you may need more fine-grained control over the size of the bounding box. For example, the
- computed bounding box may be too large or you intensionally wish the box to be &#8220;too small.&#8221; In
- these cases, you can use the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath{use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box}</span></span></span>, as described in
- Section&nbsp;<a
-href="pgfmanualse23.html#x24-25100023.5">23.5<!--tex4ht:ref: section-using-bb --></a>.
- <!--l. 298--><p class="noindent"><span
-class="cmbx-10">The baseline of the bounding box. </span>When the box containing the graphic is inserted into the normal text,
- the baseline of the graphic is normally at the bottom of the graphic. For this reason, the following two sets of
- code lines have the same effect, despite the fact that the second graphic uses &#8220;higher&#8221; coordinates than the
- first:
- <!--l. 305--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-399-" ><colgroup id="TBL-399-1g"><col
-id="TBL-399-1"><col
-id="TBL-399-2"></colgroup><tr
- valign="baseline" id="TBL-399-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-399-1-1"
-class="td11"> &nbsp;Rectangles <object data="pgfmanual-473.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and <object data="pgfmanual-474.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-399-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Rectangles</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{0ex}{1ex}}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}.</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 315--><p class="noindent">You can change the baseline using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetbaseline</span></span></span> command, see below.
- <!--l. 318--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-400-" ><colgroup id="TBL-400-1g"><col
-id="TBL-400-1"><col
-id="TBL-400-2"></colgroup><tr
- valign="baseline" id="TBL-400-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-400-1-1"
-class="td11"> &nbsp;Rectangles <object data="pgfmanual-475.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and <object data="pgfmanual-476.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-400-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Rectangles</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}</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;\pgfsetbaseline{0pt}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{0ex}{1ex}}{\pgfpoint{2ex}{1ex}}</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;\pgfsetbaseline{0pt}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}.</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 331--><p class="noindent"><span
-class="cmbx-10">Including text and images in a picture. </span>You cannot directly include text and images in a
- picture. Thus, you should <span
-class="cmti-10">not </span>simply write some text in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> or use a command like
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\includegraphics</span></span></span> or even <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfimage</span></span></span>. In all these cases, you need to place the text inside a
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command. This will &#8220;escape back&#8221; to normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode, see Section&nbsp;<a
-href="#x20-20300019.3.3">19.3.3<!--tex4ht:ref: section-text-command --></a> for details.
- </dd></dl>
-<!--l. 340--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox179"><span
-class="cmtt-10">\pgfpicture</span></span> </dt><dd
-class="description">
-
-
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox180"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox181"><span
-class="cmtt-10">\endpgfpicture</span></span> </dt><dd
-class="description">
-<a
- id="dx20-201003"></a>
-<a
- id="dx20-201004"></a>
- <!--l. 341--><p class="noindent">The plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;version of the environment. Note that in this version, also, a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group is created
- around the environment. </dd></dl>
-<!--l. 346--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox182"><span
-class="cmtt-10">\pgfsetbaseline</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-201005"></a>
- <!--l. 347--><p class="noindent">This command specifies a <span
-class="cmmi-10">y</span>-coordinate of the picture that should be used as the baseline of the
- whole picture. When a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;picture has been typeset completely, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;must decide at which height the
- baseline of the picture should lie. Normally, the baseline is set to the <span
-class="cmmi-10">y</span>-coordinate of the bottom of the
- picture, but it is often desirable to use another height.
- <!--l. 354--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-401-" ><colgroup id="TBL-401-1g"><col
-id="TBL-401-1"><col
-id="TBL-401-2"></colgroup><tr
- valign="baseline" id="TBL-401-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-401-1-1"
-class="td11"> &nbsp;Text <object data="pgfmanual-477.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-478.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-479.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-480.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-401-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Text</span><span
-class="cmtt-8">&nbsp;\tikz{\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},</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;\tikz{\pgfsetbaseline{0pt}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},</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;\tikz{\pgfsetbaseline{.5ex}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},</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;\tikz{\pgfsetbaseline{-1ex}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}}.</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 365--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.3.2 </span> <a
- id="x20-20200019.3.2"></a>Graphic Scope Environments</h5>
-<!--l. 367--><p class="noindent">Inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment you can substructure your picture using the following environment:
-<!--l. 370--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox183"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfscope</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox184"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox185"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfscope</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-202001"></a>
-<a
- id="dx20-202002"></a>
- <!--l. 371--><p class="noindent">All changes to the graphic state done inside this environment are local to the environment. The graphic state
- includes the following:
- <ul class="itemize1">
- <li class="itemize">The line width.
- </li>
- <li class="itemize">The stroke and fill colors.
- </li>
- <li class="itemize">The dash pattern.
- </li>
- <li class="itemize">The line join and cap.
- </li>
- <li class="itemize">The miter limit.
-
-
- </li>
- <li class="itemize">The canvas transformation matrix.
- </li>
- <li class="itemize">The clipping path.</li></ul>
- <!--l. 389--><p class="noindent">Other parameters may also influence how graphics are rendered, but they are <span
-class="cmti-10">not </span>part of the graphic state.
- For example, the arrow tip kind is not part of the graphic state and the effect of commands setting the arrow
- tip kind are local to the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group, not to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. However, since <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>
- starts and ends a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group automatically, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> can be used to limit the effect of, say, commands
- that set the arrow tip kind.
- <!--l. 397--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-402-" ><colgroup id="TBL-402-1g"><col
-id="TBL-402-1"><col
-id="TBL-402-2"></colgroup><tr
- valign="baseline" id="TBL-402-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-402-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-481.svg" width="48.52559 " height="15.14806 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-402-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfscope}</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>
-<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;\pgfsetlinewidth{2pt}</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;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{2ex}}</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;\pgfusepath{stroke}</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>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{3ex}{0ex}}{\pgfpoint{2ex}{2ex}}</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;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{6ex}{0ex}}{\pgfpoint{2ex}{2ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-403-" ><colgroup id="TBL-403-1g"><col
-id="TBL-403-1"><col
-id="TBL-403-2"></colgroup><tr
- valign="baseline" id="TBL-403-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-403-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-482.svg" width="47.45892 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-403-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfscope}</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>
-<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;\pgfsetarrows{-to}</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;\pgfpathmoveto{\pgfpointorigin}\pgfpathlineto{\pgfpoint{2ex}{2ex}}</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;\pgfusepath{stroke}</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>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{3ex}{0ex}}\pgfpathlineto{\pgfpoint{5ex}{2ex}}</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;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{6ex}{0ex}}\pgfpathlineto{\pgfpoint{8ex}{2ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 429--><p class="noindent">At the start of the scope, the current path must be empty, that is, you cannot open a scope while constructing
- a path.
- <!--l. 432--><p class="noindent">It is usually a good idea <span
-class="cmti-10">not </span>to introduce <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> environment. </dd></dl>
-<!--l. 436--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox186"><span
-class="cmtt-10">\pgfscope</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox187"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox188"><span
-class="cmtt-10">\endpgfscope</span></span> </dt><dd
-class="description">
-<a
- id="dx20-202003"></a>
-<a
- id="dx20-202004"></a>
- <!--l. 437--><p class="noindent">Plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;version of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> environment. </dd></dl>
-<!--l. 441--><p class="indent"> The following scopes also encapsulate certain properties of the graphic state. However, they are typically not
-used directly by the user.
-<!--l. 445--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox189"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfinterruptpath</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-
-
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox190"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox191"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfinterruptpath</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-202005"></a>
-<a
- id="dx20-202006"></a>
- <!--l. 446--><p class="noindent">This environment can be used to temporarily interrupt the construction of the current path. The effect
- will be that the path currently under construction will be &#8220;stored away&#8221; and restored at the end of
- the environment. Inside the environment you can construct a new path and do something with it.
- <!--l. 452--><p class="noindent">An example application of this environment is the arrow tip caching. Suppose you ask <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to use a
- specific arrow tip kind. When the arrow tip needs to be rendered for the first time, <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 &#8220;cache&#8221;
- the path that makes up the arrow tip. To do so, it interrupts the current path construction and then
- protocols the path of the arrow tip. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfinterruptpath}</span></span></span> environment is used to ensure that this
- does not interfere with the path to which the arrow tips should be attached.
- <!--l. 461--><p class="noindent">This command does <span
-class="cmti-10">not </span>install a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. In particular, it does not call any <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands
- at all, which would, indeed, be dangerous in the middle of a path construction. </dd></dl>
-<!--l. 466--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox192"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfinterruptpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox193"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox194"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfinterruptpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-202007"></a>
-<a
- id="dx20-202008"></a>
- <!--l. 467--><p class="noindent">This environment can be used to temporarily interrupt a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. However, the environment is
- intended only to be used at the beginning and end of a box that is (later) inserted into a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>
- using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfqbox</span></span></span>. You cannot use this environment directly inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
- <!--l. 473--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-404-" ><colgroup id="TBL-404-1g"><col
-id="TBL-404-1"><col
-id="TBL-404-2"></colgroup><tr
- valign="baseline" id="TBL-404-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-404-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-484.svg" width="1.53331 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-404-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0cm}{0cm}}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;In</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;middle</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;path,</span><span
-class="cmsltt-10x-x-80">&nbsp;now</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\newbox\mybox</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\setbox\mybox=\hbox{</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;\begin{pgfinterruptpicture}</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;Sub-\begin{pgfpicture}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;subpicture</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;\pgfpathmoveto{\pgfpoint{1cm}{0cm}}</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;\pgfpathlineto{\pgfpoint{1cm}{1cm}}</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;\pgfusepath{stroke}</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;\end{pgfpicture}-picture.</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;\end{pgfinterruptpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfqbox{\mybox}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}\hskip3.9cm</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 494--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.3.3 </span> <a
- id="x20-20300019.3.3"></a>Inserting Text and Images</h5>
-<!--l. 498--><p class="noindent">Often, you may wish to add normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;text at a certain point inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. You cannot do so
-&#8220;directly,&#8221; that is, you cannot simply write this text inside the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. Rather, you must pass
-the text as an argument to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command.
-
-
-<!--l. 503--><p class="indent"> You must <span
-class="cmti-10">also </span>use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command to insert an image or a shading into a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
-<!--l. 506--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox195"><span
-class="cmtt-10">\pgftext</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</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">text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-203001"></a>
- <!--l. 507--><p class="noindent">This command will typeset <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>in normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode and insert the resulting box into the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. The bounding box of the graphic will be updated so that all of the text box is inside.
- Be default, the text box is centered at the origin, but this can be changed either by giving appropriate
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>or by applying an appropriate coordinate transformation beforehand.
- <!--l. 514--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>may contain verbatim text. (In other words, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>&#8220;argument&#8221; is not a normal argument,
- but is put in a box and some <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\aftergroup</span></span></span> hackery is used to find the end of the box.)
- <!--l. 519--><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>&#8217;s current (high-level) coordinate transformation is synchronized with the canvas transformation
- matrix temporarily when the text box is inserted. The effect is that if there is currently a high-level
- rotation of, say, 30 degrees, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>will also be rotated by thirty degrees. If you do not want this
- effect, you have to (possibly temporarily) reset the high-level transformation matrix.
- <!--l. 527--><p class="noindent">The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>may be given as conveniences:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">left</span><a
- id="dx20-203002"></a><a
- id="dx20-203003"></a> causes the text box to be placed such that its left border is on the origin.
- <!--l. 531--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-405-" ><colgroup id="TBL-405-1g"><col
-id="TBL-405-1"><col
-id="TBL-405-2"></colgroup><tr
- valign="baseline" id="TBL-405-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-405-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-485.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-405-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[left]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">right</span><a
- id="dx20-203004"></a><a
- id="dx20-203005"></a> causes the text box to be placed such that its right border is on the origin.
- <!--l. 537--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-406-" ><colgroup id="TBL-406-1g"><col
-id="TBL-406-1"><col
-id="TBL-406-2"></colgroup><tr
- valign="baseline" id="TBL-406-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-406-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-486.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-406-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[right]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">top</span><a
- id="dx20-203006"></a><a
- id="dx20-203007"></a> causes the text box to be placed such that its top is on the origin. This option can be used together
- with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">left</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">right</span></span></span> option.
- <!--l. 545--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-407-" ><colgroup id="TBL-407-1g"><col
-id="TBL-407-1"><col
-id="TBL-407-2"></colgroup><tr
- valign="baseline" id="TBL-407-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-407-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-487.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-407-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[top]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 549--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-408-" ><colgroup id="TBL-408-1g"><col
-id="TBL-408-1"><col
-id="TBL-408-2"></colgroup><tr
- valign="baseline" id="TBL-408-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-408-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-488.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-408-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[top,right]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">bottom</span><a
- id="dx20-203008"></a><a
- id="dx20-203009"></a> causes the text box to be placed such that its bottom is on the origin.
- <!--l. 556--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-409-" ><colgroup id="TBL-409-1g"><col
-id="TBL-409-1"><col
-id="TBL-409-2"></colgroup><tr
- valign="baseline" id="TBL-409-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-409-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-489.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-409-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[bottom]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 560--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-410-" ><colgroup id="TBL-410-1g"><col
-id="TBL-410-1"><col
-id="TBL-410-2"></colgroup><tr
- valign="baseline" id="TBL-410-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-410-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-490.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-410-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[bottom,right]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">base</span><a
- id="dx20-203010"></a><a
- id="dx20-203011"></a> causes the text box to be placed such that its baseline is on the origin.
- <!--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-411-" ><colgroup id="TBL-411-1g"><col
-id="TBL-411-1"><col
-id="TBL-411-2"></colgroup><tr
- valign="baseline" id="TBL-411-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-411-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-491.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-411-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[base]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 571--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-412-" ><colgroup id="TBL-412-1g"><col
-id="TBL-412-1"><col
-id="TBL-412-2"></colgroup><tr
- valign="baseline" id="TBL-412-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-412-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-492.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-412-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[base,right]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">at</span><a
- id="dx20-203012"></a><a
- id="dx20-203013"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>Translates the origin (that is, the point where the text is shown) to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 578--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-413-" ><colgroup id="TBL-413-1g"><col
-id="TBL-413-1"><col
-id="TBL-413-2"></colgroup><tr
- valign="baseline" id="TBL-413-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-413-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-493.svg" width="93.67365 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-413-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[base,at={\pgfpoint{1cm}{0cm}}]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">x</span><a
- id="dx20-203014"></a><a
- id="dx20-203015"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Translates the origin by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>along the <span
-class="cmmi-10">x</span>-axis.
- <!--l. 584--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-414-" ><colgroup id="TBL-414-1g"><col
-id="TBL-414-1"><col
-id="TBL-414-2"></colgroup><tr
- valign="baseline" id="TBL-414-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-414-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-494.svg" width="93.67365 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-414-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[base,x=1cm,y=-0.5cm]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">y</span><a
- id="dx20-203016"></a><a
- id="dx20-203017"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>works like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> option.
- </li>
- <li class="itemize"><span
-class="cmtt-10">rotate</span><a
- id="dx20-203018"></a><a
- id="dx20-203019"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt; </span>Rotates the coordinate system by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span>. This will also rotate the text
- box.
- <!--l. 593--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-415-" ><colgroup id="TBL-415-1g"><col
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-id="TBL-415-2"></colgroup><tr
- valign="baseline" id="TBL-415-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-415-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-495.svg" width="90.14452 " height="45.15823 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-415-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</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;\pgftext[base,x=1cm,y=-0.5cm,rotate=30]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse20.html" >next</a>] [<a
-href="pgfmanualse18.html" >prev</a>] [<a
-href="pgfmanualse18.html#tailpgfmanualse18.html" >prev-tail</a>] [<a
-href="pgfmanualse19.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse19.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse19.html"></a>
-</body></html>
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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>2 Installation</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse3.html" >next</a>] [<a
-href="pgfmanualse1.html" >prev</a>] [<a
-href="pgfmanualse1.html#tailpgfmanualse1.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse2.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse2.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">2 </span> <a
- id="x3-90002"></a>Installation</h3>
-<!--l. 10--><p class="noindent">There are different ways of installing <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, depending on your system and needs, and you may need to install other
-packages as well as, see below. Before installing, you may wish to review the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small> </span>license under which the package is
-distributed, see Section&nbsp;<a
-href="#x3-180002.5">2.5<!--tex4ht:ref: section-license --></a>.
-<!--l. 16--><p class="indent"> Typically, the package will already be installed on your system. Naturally, in this case you do not need to worry
-about the installation process at all and you can skip the rest of this section.
-<!--l. 22--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.1 </span> <a
- id="x3-100002.1"></a>Package and Driver Versions</h4>
-<!--l. 24--><p class="noindent">This documentation is part of version 1.01&nbsp;of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package. In order to run <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, you need a reasonably recent
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;installation. When using <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, you need the following packages installed (newer versions should also
-work):
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> version 2.00.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xkeyval</span></span></span> version 1.8, if you wish to use Ti<span
-class="cmti-10">k</span>Z.</li></ul>
-<!--l. 34--><p class="noindent">With plain <span class="TEX">T<span
-class="E">E</span>X</span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> is not needed, but you obviously do not get its (full) functionality.
-<!--l. 37--><p class="indent"> Currently, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;supports the following backend drivers:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> version 0.14 or higher. Earlier versions do not work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> version 5.94a or higher. Earlier versions may also work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span> version 0.13.2c or higher. Earlier versions may also work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> version 2003-05-05 or higher. Earlier versions may also work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">vtex</span></span></span> version 8.46a or higher. Earlier versions may also work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">textures</span></span></span> version 2.1 or higher. Earlier versions may also work.</li></ul>
-<!--l. 53--><p class="indent"> Currently, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;supports the following formats:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> with complete functionality.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plain</span></span></span> with complete functionality, except for graphics inclusion, which works only for pdf<span class="TEX">T<span
-class="E">E</span>X</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">context</span></span></span> should work as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plain</span></span></span>, but I have not tried it.</li></ul>
-<!--l. 64--><p class="indent"> For more details, see Section&nbsp;<a
-href="pgfmanualse5.html#x6-550005">5<!--tex4ht:ref: section-formats --></a>.
-
-
-<!--l. 68--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.2 </span> <a
- id="x3-110002.2"></a>Installing Prebundled Packages</h4>
-<!--l. 70--><p class="noindent">I do not create or manage prebundled packages of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, but, fortunately, nice other people do. I cannot give detailed
-instructions on how to install these packages, since I do not manage them, but I <span
-class="cmti-10">can </span>tell you were to find them. If
-you have a problem with installing, you might wish to have a look at the Debian page or the Mik<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;page
-first.
-<!--l. 78--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.2.1 </span> <a
- id="x3-120002.2.1"></a>Debian</h5>
-<!--l. 80--><p class="noindent">The command &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">aptitude</span><span
-class="cmtt-10">&nbsp;install</span><span
-class="cmtt-10">&nbsp;pgf</span></span></span>&#8221; should do the trick. Sit back and relax. In detail, the following packages
-are installed:
-
-
- <table width="100%"
-class="verbatim"><tr class="verbatim"><td
-class="verbatim"><div class="verbatim">
-http://packages.debian.org/pgf
-&nbsp;<br />http://packages.debian.org/latex-xcolor
-</div>
-</td></tr></table>
-<!--l. 85--><p class="nopar">
-<!--l. 88--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.2.2 </span> <a
- id="x3-130002.2.2"></a>MiKTeX</h5>
-<!--l. 90--><p class="noindent">For MiK<span class="TEX">T<span
-class="E">E</span>X</span>, use the update wizard to install the (latest versions of the) packages called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span>, and
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xkeyval</span></span></span>.
-<!--l. 96--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.3 </span> <a
- id="x3-140002.3"></a>Installation in a texmf Tree</h4>
-<!--l. 98--><p class="noindent">For a permanent installation, you place the files of the the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small> </span>package in an appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree.
-<!--l. 101--><p class="indent"> When you ask <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;to use a certain class or package, it usually looks for the necessary files in so-called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span>
-trees. These trees are simply huge directories that contain these files. By default, <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;looks for files in three
-different <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> trees:
- <ul class="itemize1">
- <li class="itemize">The root <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree, which is usually located at <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/usr/share/texmf/</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">c:\texmf\</span></span></span> or somewhere
- similar.
- </li>
- <li class="itemize">The local <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree, which is usually located at <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/usr/local/share/texmf/</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">c:\localtexmf\</span></span></span> or
- somewhere similar.
- </li>
- <li class="itemize">Your personal <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree, which is usually located in your home directory at <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">~/texmf/</span></span></span> or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">~/Library/texmf/</span></span></span>.</li></ul>
-<!--l. 117--><p class="indent"> You should install the packages either in the local tree or in your personal tree, depending on whether you have
-write access to the local tree. Installation in the root tree can cause problems, since an update of the whole
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;installation will replace this whole tree.
-<!--l. 123--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.3.1 </span> <a
- id="x3-150002.3.1"></a>Installation that Keeps Everything Together</h5>
-<!--l. 125--><p class="noindent">Once you have located the right texmf tree, you must decide whether you want to install <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;in such a way that
-&#8220;all its files are kept in one place&#8221; or whether you want to be &#8220;<span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant,&#8221; where <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small> </span>means &#8220;<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;directory
-structure.&#8221;
-<!--l. 131--><p class="indent"> If you want to keep &#8220;everything in one place,&#8221; inside the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree that you have chosen create a
-sub-sub-directory called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/generic/pgf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/generic/pgf-</span></span></span><span
-class="cmtt-10">1.01</span>, if you prefer. Then place all
-files of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> package in this directory. Finally, rebuild <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s filename database. This is done by running
-the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texhash</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mktexlsr</span></span></span> (they are the same). In Mik<span class="TEX">T<span
-class="E">E</span>X</span>, there is a menu option to do
-this.
-<!--l. 141--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.3.2 </span> <a
- id="x3-160002.3.2"></a>Installation that is TDS-Compliant</h5>
-<!--l. 143--><p class="noindent">While the above installation process is the most &#8220;natural&#8221; one and although I would like to recommend it since it
-makes updating and managing the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package easy, it is not <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant. If you want to be <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant,
-proceed as follows: (If you do not know what <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant means, you probably do not want to be
-<span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant.)
-
-
-<!--l. 150--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tar</span></span></span> file of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> package contains the following files and directories at its root: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">README</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">doc</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">generic</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plain</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span>. You should &#8220;merge&#8221; each of the four directories with the following directories <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/doc</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/generic</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/plain</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/latex</span></span></span>. For example, in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tar</span></span></span> file the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">doc</span></span></span> directory
-contains just the directory <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, and this directory has to be moved to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/doc/pgf</span></span></span>. The root <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">README</span></span></span> file can be
-ignored since it is reproduced in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">doc/pgf/README</span></span></span>.
-<!--l. 159--><p class="indent"> You may also consider keeping everything in one place and using symbolic links to point from the <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant
-directories to the central installation.
-<!--l. 164--><p class="indent"> For a more detailed explanation of the standard installation process of packages, you might wish to consult
-<span
-class="cmtt-10">http://www.ctan.org/installationadvice/</span>. However, note that the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package does not come with a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ins</span></span></span> file
-(simply skip that part).
-<!--l. 171--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.4 </span> <a
- id="x3-170002.4"></a>Updating the Installation</h4>
-<!--l. 173--><p class="noindent">To update your installation from a previous version, all you need to do is to replace everything in the directory
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/generic/pgf</span></span></span> with the files of the new version (or in all the directories where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> was installed, if you
-chose a <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant installation). The easiest way to do this is to first delete the old version and then proceed as
-described above. Sometimes, there are changes in the syntax of certain command from version to version. If things
-no longer work that used to work, you may wish to have a look at the release notes and at the change
-log.
-<!--l. 9--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.5 </span> <a
- id="x3-180002.5"></a>License: The GNU Public License, Version 2</h4>
-<!--l. 12--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package is distributed under the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small> </span>public license, version 2. In detail, this means the following (the
-following text is copyrighted by the Free Software Foundation):
-<!--l. 16--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.5.1 </span> <a
- id="x3-190002.5.1"></a>Preamble</h5>
-<!--l. 18--><p class="noindent">The licenses for most software are designed to take away your freedom to share and change it. By contrast, the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small></span>
-General Public License is intended to guarantee your freedom to share and change free software--to make sure the
-software is free for all its users. This General Public License applies to most of the Free Software Foundation&#8217;s
-software and to any other program whose authors commit to using it. (Some other Free Software Foundation
-software is covered by the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small> </span>Library General Public License instead.) You can apply it to your programs,
-too.
-<!--l. 27--><p class="indent"> When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are
-designed to make sure that you have the freedom to distribute copies of free software (and charge
-for this service if you wish), that you receive source code or can get it if you want it, that you can
-change the software or use pieces of it in new free programs; and that you know you can do these
-things.
-<!--l. 34--><p class="indent"> To protect your rights, we need to make restrictions that forbid anyone to deny you these rights or to ask you to
-surrender the rights. These restrictions translate to certain responsibilities for you if you distribute copies of the
-software, or if you modify it.
-<!--l. 39--><p class="indent"> For example, if you distribute copies of such a program, whether gratis or for a fee, you must give the recipients
-all the rights that you have. You must make sure that they, too, receive or can get the source code. And you must
-show them these terms so they know their rights.
-<!--l. 44--><p class="indent"> We protect your rights with two steps: (1) copyright the software, and (2) offer you this license which gives you
-legal permission to copy, distribute and/or modify the software.
-<!--l. 48--><p class="indent"> Also, for each author&#8217;s protection and ours, we want to make certain that everyone understands that there is no
-warranty for this free software. If the software is modified by someone else and passed on, we want its recipients to
-know that what they have is not the original, so that any problems introduced by others will not reflect on the
-original authors&#8217; reputations.
-<!--l. 55--><p class="indent"> Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that
-redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To
-prevent this, we have made it clear that any patent must be licensed for everyone&#8217;s free use or not licensed at
-all.
-
-
-<!--l. 61--><p class="indent"> The precise terms and conditions for copying, distribution and modification follow.
-<!--l. 65--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.5.2 </span> <a
- id="x3-200002.5.2"></a>Terms and Conditions For Copying, Distribution and Modification</h5>
-<!--l. 67--><p class="noindent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="0"
-><a
- id="x3-20002x0"></a>This License applies to any program or other work which contains a notice placed by the copyright
- holder saying it may be distributed under the terms of this General Public License. The &#8220;Program&#8221;,
- below, refers to any such program or work, and a &#8220;work based on the Program&#8221; means either the
- Program or any derivative work under copyright law: that is to say, a work containing the Program
- or a portion of it, either verbatim or with modifications and/or translated into another language.
- (Hereinafter, translation is included without limitation in the term &#8220;modification&#8221;.) Each licensee is
- addressed as &#8220;you&#8221;.
- <!--l. 82--><p class="noindent">Activities other than copying, distribution and modification are not covered by this License; they are
- outside its scope. The act of running the Program is not restricted, and the output from the Program
- is covered only if its contents constitute a work based on the Program (independent of having been
- made by running the Program). Whether that is true depends on what the Program does.
- </li>
- <li class="enumerate" value="1"
-><a
- id="x3-20004x1"></a>You may copy and distribute verbatim copies of the Program&#8217;s source code as you receive it, in any
- medium, provided that you conspicuously and appropriately publish on each copy an appropriate
- copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and
- to the absence of any warranty; and give any other recipients of the Program a copy of this License
- along with the Program.
- <!--l. 96--><p class="noindent">You may charge a fee for the physical act of transferring a copy, and you may at your option offer
- warranty protection in exchange for a fee.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x3-20006x2"></a>You may modify your copy or copies of the Program or any portion of it, thus forming a work based on
- the Program, and copy and distribute such modifications or work under the terms of Section 1 above,
- provided that you also meet all of these conditions:
- <!--l. 105--><p class="noindent">
- <ol type="a" class="enumerate2" >
- <li class="enumerate" value="1"
-><a
- id="x3-20008x1"></a>You must cause the modified files to carry prominent notices stating that you changed the files
- and the date of any change.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x3-20010x2"></a>You must cause any work that you distribute or publish, that in whole or in part contains or is
- derived from the Program or any part thereof, to be licensed as a whole at no charge to all third
- parties under the terms of this License.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x3-20012x3"></a>If the modified program normally reads commands interactively when run, you must cause it,
- when started running for such interactive use in the most ordinary way, to print or display an
- announcement including an appropriate copyright notice and a notice that there is no warranty (or
- else, saying that you provide a warranty) and that users may redistribute the program under these
- conditions, and telling the user how to view a copy of this License. (Exception: if the Program
- itself is interactive but does not normally print such an announcement, your work based on the
- Program is not required to print an announcement.)
- </li></ol>
- <!--l. 132--><p class="noindent">These requirements apply to the modified work as a whole. If identifiable sections of that work are not derived
- from the Program, and can be reasonably considered independent and separate works in themselves, then this
- License, and its terms, do not apply to those sections when you distribute them as separate works. But
- when you distribute the same sections as part of a whole which is a work based on the Program,
- the distribution of the whole must be on the terms of this License, whose permissions for other
- licensees extend to the entire whole, and thus to each and every part regardless of who wrote
- it.
-
-
- <!--l. 142--><p class="noindent">Thus, it is not the intent of this section to claim rights or contest your rights to work written entirely by you;
- rather, the intent is to exercise the right to control the distribution of derivative or collective works based on
- the Program.
- <!--l. 147--><p class="noindent">In addition, mere aggregation of another work not based on the Program with the Program (or with a work
- based on the Program) on a volume of a storage or distribution medium does not bring the other work under
- the scope of this License.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x3-20014x3"></a>You may copy and distribute the Program (or a work based on it, under Section 2) in object code or
- executable form under the terms of Sections 1 and 2 above provided that you also do one of the
- following:
- <!--l. 157--><p class="noindent">
- <ol type="a" class="enumerate2" >
- <li class="enumerate" value="1"
-><a
- id="x3-20016x1"></a>Accompany it with the complete corresponding machine-readable source code, which must be
- distributed under the terms of Sections 1 and 2 above on a medium customarily used for software
- interchange; or,
- </li>
- <li class="enumerate" value="2"
-><a
- id="x3-20018x2"></a>Accompany it with a written offer, valid for at least three years, to give any third party, for a charge
- no more than your cost of physically performing source distribution, a complete machine-readable
- copy of the corresponding source code, to be distributed under the terms of Sections 1 and 2
- above on a medium customarily used for software interchange; or,
- </li>
- <li class="enumerate" value="3"
-><a
- id="x3-20020x3"></a>Accompany it with the information you received as to the offer to distribute corresponding source
- code. (This alternative is allowed only for noncommercial distribution and only if you received
- the program in object code or executable form with such an offer, in accord with Subsubsection
- b above.)
- </li></ol>
- <!--l. 182--><p class="noindent">The source code for a work means the preferred form of the work for making modifications to it. For an
- executable work, complete source code means all the source code for all modules it contains, plus any
- associated interface definition files, plus the scripts used to control compilation and installation of the
- executable. However, as a special exception, the source code distributed need not include anything that is
- normally distributed (in either source or binary form) with the major components (compiler, kernel, and so
- on) of the operating system on which the executable runs, unless that component itself accompanies the
- executable.
- <!--l. 193--><p class="noindent">If distribution of executable or object code is made by offering access to copy from a designated place, then
- offering equivalent access to copy the source code from the same place counts as distribution of the
- source code, even though third parties are not compelled to copy the source along with the object
- code.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x3-20022x4"></a>You may not copy, modify, sublicense, or distribute the Program except as expressly provided under this
- License. Any attempt otherwise to copy, modify, sublicense or distribute the Program is void, and will
- automatically terminate your rights under this License. However, parties who have received copies, or rights,
- from you under this License will not have their licenses terminated so long as such parties remain in full
- compliance.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x3-20024x5"></a>You are not required to accept this License, since you have not signed it. However, nothing else grants you
- permission to modify or distribute the Program or its derivative works. These actions are prohibited by law if
- you do not accept this License. Therefore, by modifying or distributing the Program (or any
- work based on the Program), you indicate your acceptance of this License to do so, and all its
- terms and conditions for copying, distributing or modifying the Program or works based on
- it.
- </li>
- <li class="enumerate" value="6"
-><a
- id="x3-20026x6"></a>Each time you redistribute the Program (or any work based on the Program), the recipient automatically
- receives a license from the original licensor to copy, distribute or modify the Program subject to these terms
-
-
- and conditions. You may not impose any further restrictions on the recipients&#8217; exercise of the
- rights granted herein. You are not responsible for enforcing compliance by third parties to this
- License.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x3-20028x7"></a>If, as a consequence of a court judgment or allegation of patent infringement or for any other reason (not
- limited to patent issues), conditions are imposed on you (whether by court order, agreement or otherwise)
- that contradict the conditions of this License, they do not excuse you from the conditions of
- this License. If you cannot distribute so as to satisfy simultaneously your obligations under this
- License and any other pertinent obligations, then as a consequence you may not distribute the
- Program at all. For example, if a patent license would not permit royalty-free redistribution of the
- Program by all those who receive copies directly or indirectly through you, then the only way
- you could satisfy both it and this License would be to refrain entirely from distribution of the
- Program.
- <!--l. 241--><p class="noindent">If any portion of this section is held invalid or unenforceable under any particular circumstance, the
- balance of the section is intended to apply and the section as a whole is intended to apply in other
- circumstances.
- <!--l. 246--><p class="noindent">It is not the purpose of this section to induce you to infringe any patents or other property right claims or to
- contest validity of any such claims; this section has the sole purpose of protecting the integrity of the free
- software distribution system, which is implemented by public license practices. Many people have
- made generous contributions to the wide range of software distributed through that system in
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- is willing to distribute software through any other system and a licensee cannot impose that
- choice.
- <!--l. 257--><p class="noindent">This section is intended to make thoroughly clear what is believed to be a consequence of the rest of this
- License.
- </li>
- <li class="enumerate" value="8"
-><a
- id="x3-20030x8"></a>If the distribution and/or use of the Program is restricted in certain countries either by patents or by
- copyrighted interfaces, the original copyright holder who places the Program under this License may add an
- explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in
- or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the
- body of this License.
- </li>
- <li class="enumerate" value="9"
-><a
- id="x3-20032x9"></a>The Free Software Foundation may publish revised and/or new versions of the General Public License from
- time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to
- address new problems or concerns.
- <!--l. 275--><p class="noindent">Each version is given a distinguishing version number. If the Program specifies a version number of this
- License which applies to it and &#8220;any later version&#8221;, you have the option of following the terms and conditions
- either of that version or of any later version published by the Free Software Foundation. If the Program does
- not specify a version number of this License, you may choose any version ever published by the Free Software
- Foundation.
- </li>
- <li class="enumerate" value="10"
-><a
- id="x3-20034x10"></a>If you wish to incorporate parts of the Program into other free programs whose distribution conditions are
- different, write to the author to ask for permission. For software which is copyrighted by the Free Software
- Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will
- be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting
- the sharing and reuse of software generally.
- </li></ol>
-<!--l. 294--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.5.3 </span> <a
- id="x3-210002.5.3"></a>No Warranty</h5>
-<!--l. 296--><p class="noindent">
-
-
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="10"
-><a
- id="x3-21002x10"></a>Because the program is licensed free of charge, there is no warranty for the program, to the extent
- permitted by applicable law. Except when otherwise stated in writing the copyright holders and/or
- other parties provide the program &#8220;as is&#8221; without warranty of any kind, either expressed or implied,
- including, but not limited to, the implied warranties of merchantability and fitness for a particular
- purpose. The entire risk as to the quality and performance of the program is with you. Should the
- program prove defective, you assume the cost of all necessary servicing, repair or correction.
- </li>
- <li class="enumerate" value="11"
-><a
- id="x3-21004x11"></a>In no event unless required by applicable law or agreed to in writing will any copyright holder, or
- any other party who may modify and/or redistribute the program as permitted above, be liable to
- you for damages, including any general, special, incidental or consequential damages arising out of the
- use or inability to use the program (including but not limited to loss of data or data being rendered
- inaccurate or losses sustained by you or third parties or a failure of the program to operate with any
- other programs), even if such holder or other party has been advised of the possibility of such damages.</li></ol>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse3.html" >next</a>] [<a
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-<!--l. 1--><p class="indent"> <a
- id="tailpgfmanualse2.html"></a>
-</body></html>
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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>20 Specifying Coordinates</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)">
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-href="pgfmanualse21.html" >next</a>] [<a
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-href="#tailpgfmanualse20.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse20.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">20 </span> <a
- id="x21-20400020"></a>Specifying Coordinates</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.1 </span> <a
- id="x21-20500020.1"></a>Overview</h4>
-<!--l. 14--><p class="noindent">Most <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands expect you to provide the coordinates of a <span
-class="cmti-10">point </span>(also called <span
-class="cmti-10">coordinate</span>) inside your picture.
-Points are always &#8220;local&#8221; to your picture, that is, they never refer to an absolute position on the page, but to a
-position inside the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. To specify a coordinate you can use commands that start
-with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint</span></span></span>.
-<!--l. 21--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.2 </span> <a
- id="x21-20600020.2"></a>Basic Coordinate Commands</h4>
-<!--l. 23--><p class="noindent">The following commands are the most basic for specifying a coordinate.
-<!--l. 26--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox196"><span
-class="cmtt-10">\pgfpoint</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-206001"></a>
- <!--l. 27--><p class="noindent">Yields a point location. The coordinates are given as <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions.
- <!--l. 30--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-416-" ><colgroup id="TBL-416-1g"><col
-id="TBL-416-1"><col
-id="TBL-416-2"></colgroup><tr
- valign="baseline" id="TBL-416-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-416-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-496.svg" width="117.6105 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-416-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{1cm}{1cm}}</span><span
-class="cmtt-8">&nbsp;{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{2cm}{5pt}}</span><span
-class="cmtt-8">&nbsp;{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0pt}{.5in}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 41--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox197"><span
-class="cmtt-10">\pgfpointorigin</span></span> </dt><dd
-class="description">
-<a
- id="dx21-206002"></a>
- <!--l. 42--><p class="noindent">Yields the origin. Same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{0pt}{0pt}</span></span></span>. </dd></dl>
-<!--l. 45--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox198"><span
-class="cmtt-10">\pgfpointpolar</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-206003"></a>
- <!--l. 46--><p class="noindent">Yields a point location given in polar coordinates. You can specify the angle only in degrees, radians are not
- supported, currently.
-
-
- <!--l. 48--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-417-" ><colgroup id="TBL-417-1g"><col
-id="TBL-417-1"><col
-id="TBL-417-2"></colgroup><tr
- valign="baseline" id="TBL-417-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-417-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-497.svg" width="117.6105 " height="79.67366 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-417-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\angle</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,10,...,90}</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;{\pgfpathcircle{\pgfpointpolar{\angle}{1cm}}{2pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 61--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.3 </span> <a
- id="x21-20700020.3"></a>Coordinates in the Xy- and Xyz-Coordinate Systems</h4>
-<!--l. 63--><p class="noindent">Coordinates can also be specified as multiples of an <span
-class="cmmi-10">x</span>-vector and a <span
-class="cmmi-10">y</span>-vector. Normally, the <span
-class="cmmi-10">x</span>-vector points one
-centimeter in the <span
-class="cmmi-10">x</span>-direction and the <span
-class="cmmi-10">y</span>-vector points one centimeter in the <span
-class="cmmi-10">y</span>-direction, but using the commands
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetxvec</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetyvec</span></span></span> they can be changed. Note that the <span
-class="cmmi-10">x</span>- and <span
-class="cmmi-10">y</span>-vector do not necessarily point
-&#8220;horizontally&#8221; and &#8220;vertically.&#8221;
-<!--l. 71--><p class="indent"> It is also possible to specify a point as a multiple of three vectors, the <span
-class="cmmi-10">x</span>-, <span
-class="cmmi-10">y</span>-, and <span
-class="cmmi-10">z</span>-vector. This is useful for
-creating simple three dimensional graphics.
-<!--l. 75--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox199"><span
-class="cmtt-10">\pgfpointxy</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">y</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207001"></a>
- <!--l. 76--><p class="noindent">Yields a point that is situated at <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">x</span></sub> times the <span
-class="cmmi-10">x</span>-vector plus <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">y</span></sub> times the <span
-class="cmmi-10">y</span>-vector.
- <!--l. 78--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-418-" ><colgroup id="TBL-418-1g"><col
-id="TBL-418-1"><col
-id="TBL-418-2"></colgroup><tr
- valign="baseline" id="TBL-418-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-418-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-498.svg" width="115.07718 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-418-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointxy{1}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxy{2}{2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 88--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox200"><span
-class="cmtt-10">\pgfpointxyz</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">y</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">z</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207002"></a>
- <!--l. 89--><p class="noindent">Yields a point that is situated at <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">x</span></sub> times the <span
-class="cmmi-10">x</span>-vector plus <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">y</span></sub> times the <span
-class="cmmi-10">y</span>-vector plus <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">z</span></sub> times the
- <span
-class="cmmi-10">z</span>-vector.
-
-
- <!--l. 92--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-419-" ><colgroup id="TBL-419-1g"><col
-id="TBL-419-1"><col
-id="TBL-419-2"></colgroup><tr
- valign="baseline" id="TBL-419-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-419-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-499.svg" width="54.07564 " height="54.07564 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-419-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrowsend{to}</span>
-<br>
-<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{\pgfpointxyz{0}{0}{1}}</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;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxyz{0}{1}{0}}</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;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxyz{1}{0}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 110--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox201"><span
-class="cmtt-10">\pgfsetxvec</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207003"></a>
- <!--l. 111--><p class="noindent">Sets that current <span
-class="cmmi-10">x</span>-vector for usage in the <span
-class="cmmi-10">xyz</span>-coordinate system.
- <!--l. 113--><p class="noindent"><span
-class="cmti-10">Example:</span>
- <!--l. 114--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-420-" ><colgroup id="TBL-420-1g"><col
-id="TBL-420-1"><col
-id="TBL-420-2"></colgroup><tr
- valign="baseline" id="TBL-420-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-420-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-500.svg" width="115.07718 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-420-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointxy{1}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxy{2}{2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetxvec{\pgfpoint{0.75cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointxy{1}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxy{2}{2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 131--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox202"><span
-class="cmtt-10">\pgfsetyvec</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207004"></a>
- <!--l. 132--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetyvec</span></span></span>. </dd></dl>
-<!--l. 135--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox203"><span
-class="cmtt-10">\pgfsetzvec</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207005"></a>
- <!--l. 136--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetzvec</span></span></span>. </dd></dl>
-
-
-<!--l. 142--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.4 </span> <a
- id="x21-20800020.4"></a>Building Coordinates From Other Coordinates</h4>
-<!--l. 144--><p class="noindent">Many commands allow you to construct a coordinate in terms of other coordinates.
-<!--l. 148--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">20.4.1 </span> <a
- id="x21-20900020.4.1"></a>Basic Manipulations of Coordinates</h5>
-<!--l. 150--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox204"><span
-class="cmtt-10">\pgfpointadd</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">v</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">v</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-209001"></a>
- <!--l. 151--><p class="noindent">Returns the sum vector <span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">v</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt; </span>+ <span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">v</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span>.
- <!--l. 152--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-421-" ><colgroup id="TBL-421-1g"><col
-id="TBL-421-1"><col
-id="TBL-421-2"></colgroup><tr
- valign="baseline" id="TBL-421-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-421-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-501.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-421-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointadd{\pgfpoint{1cm}{0cm}}{\pgfpoint{1cm}{1cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 161--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox205"><span
-class="cmtt-10">\pgfpointscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-209002"></a>
- <!--l. 162--><p class="noindent">Returns the vector <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 163--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-422-" ><colgroup id="TBL-422-1g"><col
-id="TBL-422-1"><col
-id="TBL-422-2"></colgroup><tr
- valign="baseline" id="TBL-422-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-422-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-502.svg" width="115.07718 " height="79.67366 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-422-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointscale{1.5}{\pgfpoint{1cm}{0cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 172--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox206"><span
-class="cmtt-10">\pgfpointdiff</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-209003"></a>
- <!--l. 173--><p class="noindent">Returns the difference vector <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;-&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 174--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-423-" ><colgroup id="TBL-423-1g"><col
-id="TBL-423-1"><col
-id="TBL-423-2"></colgroup><tr
- valign="baseline" id="TBL-423-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-423-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-503.svg" width="117.6105 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-423-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointdiff{\pgfpoint{1cm}{0cm}}{\pgfpoint{1cm}{1cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 184--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox207"><span
-class="cmtt-10">\pgfpointnormalised</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-209004"></a>
- <!--l. 185--><p class="noindent">This command returns a normalized version of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>, that is, a vector of length 1pt pointing in
- the direction of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>. If <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>is the 0-vector or extremely short, a vector of length 1pt pointing
- upwards is returned.
- <!--l. 190--><p class="noindent">This command is <span
-class="cmti-10">not </span>implemented by calculating the length of the vector, but rather by calculating the angle
- of the vector and then using (something equivalent to) the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointpolar</span></span></span> command. This ensures that the
- point will really have length 1pt, but it is not guaranteed that the vector will <span
-class="cmti-10">precisely </span>point in the direction of
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>due to the fact that the polar tables are accurate only up to one degree. Normally, this is not a
- problem.
- <!--l. 198--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-424-" ><colgroup id="TBL-424-1g"><col
-id="TBL-424-1"><col
-id="TBL-424-2"></colgroup><tr
- valign="baseline" id="TBL-424-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-424-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-504.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-424-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{2cm}{1cm}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointscale{20}</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;{\pgfpointnormalised{\pgfpoint{2cm}{1cm}}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 210--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">20.4.2 </span> <a
- id="x21-21000020.4.2"></a>Points Traveling along Lines and Curves</h5>
-<!--l. 214--><p class="noindent">The commands in this section allow you to specify points on a line or a curve. Imaging a point &#8220;traveling&#8221; along a
-curve from some point <span
-class="cmmi-10">p </span>to another point <span
-class="cmmi-10">q</span>. At time <span
-class="cmmi-10">t </span>= 0 the point is at <span
-class="cmmi-10">p </span>and at time <span
-class="cmmi-10">t </span>= 1 it is at <span
-class="cmmi-10">q </span>and at time,
-say, <span
-class="cmmi-10">t </span>= 1<span
-class="cmmi-10">/</span>2 it is &#8220;somewhere in the middle.&#8221; The exact location at time <span
-class="cmmi-10">t </span>= 1<span
-class="cmmi-10">/</span>2 will not necessarily be the &#8220;halfway
-point,&#8221; that is, the point whose distance on the curve from <span
-class="cmmi-10">p </span>and <span
-class="cmmi-10">q </span>is equal. Rather, the exact location will depend
-on the &#8220;speed&#8221; at which the point is traveling, which in turn depends on the lengths of the support
-vectors in a complicated manner. If you are interested in the details, please see a good book on B&eacute;zier
-curves.
-<!--l. 228--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox208"><span
-class="cmtt-10">\pgfpointlineattime</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">time </span><span
-class="cmmi-10">t</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">p</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">q</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-210001"></a>
- <!--l. 229--><p class="noindent">Yields a point that is the <span
-class="cmmi-10">t</span>th fraction between <span
-class="cmmi-10">p </span>and&nbsp;<span
-class="cmmi-10">q</span>, that is, <span
-class="cmmi-10">p </span>+ <span
-class="cmmi-10">t</span>(<span
-class="cmmi-10">q </span><span
-class="cmsy-10">- </span><span
-class="cmmi-10">p</span>). For <span
-class="cmmi-10">t </span>= 1<span
-class="cmmi-10">/</span>2 this is the
- middle of <span
-class="cmmi-10">p </span>and <span
-class="cmmi-10">q</span>.
-
-
- <!--l. 233--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-425-" ><colgroup id="TBL-425-1g"><col
-id="TBL-425-1"><col
-id="TBL-425-2"></colgroup><tr
- valign="baseline" id="TBL-425-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-425-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-505.svg" width="118.27718 " height="104.43468 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-425-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</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{2cm}{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;\foreach</span><span
-class="cmtt-8">&nbsp;\t</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,0.25,...,1.25}</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;{\pgftext[at=</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;\pgfpointlineattime{\t}{\pgfpointorigin}{\pgfpoint{2cm}{2cm}}]{\t}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 246--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox209"><span
-class="cmtt-10">\pgfpointlineatdistance</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-210002"></a>
- <!--l. 247--><p class="noindent">Yields a point that is located <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt; </span>many units removed from the start point in the direction of
- the end point. In other words, this is the point that results if we travel <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt; </span>steps from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span>
- <span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>towards <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end point</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 251--><p class="noindent"><span
-class="cmti-10">Example:</span>
- <!--l. 252--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-426-" ><colgroup id="TBL-426-1g"><col
-id="TBL-426-1"><col
-id="TBL-426-2"></colgroup><tr
- valign="baseline" id="TBL-426-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-426-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-506.svg" width="124.70686 " height="77.54778 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-426-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</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{3cm}{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;\foreach</span><span
-class="cmtt-8">&nbsp;\d</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0pt,20pt,40pt,70pt}</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;{\pgftext[at=</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;\pgfpointlineatdistance{\d}{\pgfpointorigin}{\pgfpoint{3cm}{2cm}}]{\d}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 266--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox210"><span
-class="cmtt-10">\pgfpointcurveattime</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">time </span><span
-class="cmmi-10">t</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">p</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">s</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">s</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">q</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-210003"></a>
- <!--l. 267--><p class="noindent">Yields a point that is on the B&eacute;zier curve from <span
-class="cmmi-10">p </span>to <span
-class="cmmi-10">q </span>with the support points <span
-class="cmmi-10">s</span><sub ><span
-class="cmr-7">1</span></sub> and <span
-class="cmmi-10">s</span><sub ><span
-class="cmr-7">2</span></sub>. The time <span
-class="cmmi-10">t </span>is
- used to determine the location, where <span
-class="cmmi-10">t </span>= 0 yields <span
-class="cmmi-10">p </span>and <span
-class="cmmi-10">t </span>= 1 yields <span
-class="cmmi-10">q</span>.
-
-
- <!--l. 271--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-427-" ><colgroup id="TBL-427-1g"><col
-id="TBL-427-1"><col
-id="TBL-427-2"></colgroup><tr
- valign="baseline" id="TBL-427-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-427-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-507.svg" width="128.21748 " height="85.46626 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-427-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</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;\pgfpathcurveto</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;{\pgfpoint{0cm}{2cm}}{\pgfpoint{0cm}{2cm}}{\pgfpoint{3cm}{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;\foreach</span><span
-class="cmtt-8">&nbsp;\t</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,0.25,0.5,0.75,1}</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;{\pgftext[at=\pgfpointcurveattime{\t}{\pgfpointorigin}</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;</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;</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;</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;</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;</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;{\pgfpoint{0cm}{2cm}}</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;</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;</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;</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;</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;</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;{\pgfpoint{0cm}{2cm}}</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;</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;</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;</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;</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;</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;{\pgfpoint{3cm}{2cm}}]{\t}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 287--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">20.4.3 </span> <a
- id="x21-21100020.4.3"></a>Points on Borders of Objects</h5>
-<!--l. 289--><p class="noindent">The following commands are useful for specifying a point that lies on the border of special shapes. They are used,
-for example, by the shape mechanism to determine border points of shapes.
-<!--l. 293--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox211"><span
-class="cmtt-10">\pgfpointborderrectangle</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-211001"></a>
- <!--l. 294--><p class="noindent">This command returns a point that lies on the intersection of a line starting at the origin and going
- towards the point <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction point</span><span
-class="cmsy-10">&gt; </span>and a rectangle whose center is in the origin and whose upper right
- corner is at <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 299--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction point</span><span
-class="cmsy-10">&gt; </span>should have length &#8220;about 1pt,&#8221; but it will be normalized automatically.
- Nevertheless, the &#8220;nearer&#8221; the length is to 1pt, the less rounding errors.
- <!--l. 303--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-428-" ><colgroup id="TBL-428-1g"><col
-id="TBL-428-1"><col
-id="TBL-428-2"></colgroup><tr
- valign="baseline" id="TBL-428-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-428-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-508.svg" width="117.6105 " height="105.7263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-428-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectanglecorners{\pgfpoint{-1cm}{-1.25cm}}{\pgfpoint{1cm}{1.25cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{5pt}{5pt}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{-10pt}{5pt}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointborderrectangle</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;{\pgfpoint{5pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointborderrectangle</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;{\pgfpoint{-10pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 323--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox212"><span
-class="cmtt-10">\pgfpointborderellipse</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-211002"></a>
- <!--l. 324--><p class="noindent">This command works like the corresponding command for rectangles, only this time the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>is
- the corner of the bounding rectangle of an ellipse.
- <!--l. 328--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-429-" ><colgroup id="TBL-429-1g"><col
-id="TBL-429-1"><col
-id="TBL-429-2"></colgroup><tr
- valign="baseline" id="TBL-429-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-429-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-509.svg" width="115.21051 " height="105.7263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-429-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathellipse{\pgfpointorigin}{\pgfpoint{1cm}{0cm}}{\pgfpoint{0cm}{1.25cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{5pt}{5pt}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{-10pt}{5pt}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointborderellipse</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;{\pgfpoint{5pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointborderellipse</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;{\pgfpoint{-10pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 348--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">20.4.4 </span> <a
- id="x21-21200020.4.4"></a>Points on the Intersection of Lines</h5>
-<!--l. 351--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox213"><span
-class="cmtt-10">\pgfpointintersectionoflines</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">p</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">q</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">t</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-212001"></a>
- <!--l. 352--><p class="noindent">This command returns the intersection of a line going through <span
-class="cmmi-10">p </span>and <span
-class="cmmi-10">q </span>and a line going through <span
-class="cmmi-10">s </span>and
- <span
-class="cmmi-10">t</span>. If the lines do not intersection, an arithmetic overflow will occur.
- <!--l. 356--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-430-" ><colgroup id="TBL-430-1g"><col
-id="TBL-430-1"><col
-id="TBL-430-2"></colgroup><tr
- valign="baseline" id="TBL-430-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-430-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-510.svg" width="77.27367 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-430-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{</span><span
-class="cmsltt-10x-x-80">%</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;\pgfpointintersectionoflines</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;{\pgfpointxy{.5}{0}}{\pgfpointxy{2}{2}}</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;{\pgfpointxy{1}{2}}{\pgfpointxy{2}{0}}}</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;{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 371--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.5 </span> <a
- id="x21-21300020.5"></a>Extracting Coordinates</h4>
-<!--l. 373--><p class="noindent">There are two commands that can be used to &#8220;extract&#8221; the <span
-class="cmmi-10">x</span>- or <span
-class="cmmi-10">y</span>-coordinate of a coordinate.
-<!--l. 376--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox214"><span
-class="cmtt-10">\pgfextractx</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-213001"></a>
- <!--l. 377--><p class="noindent">Sets the <span class="TEX">T<span
-class="E">E</span>X</span>-<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to the <span
-class="cmmi-10">x</span>-coordinate of the point.
- <!--l. 379--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-431-" ><colgroup id="TBL-431-1g"><col
-id="TBL-431-1"></colgroup><tr
- valign="baseline" id="TBL-431-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-431-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newdimen\mydim</span>
-<br><span
-class="cmtt-8">\pgfextractx{\mydim}{\pgfpoint{2cm}{4pt}}</span>
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;\mydim</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;now</span><span
-class="cmsltt-10x-x-80">&nbsp;2cm</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 386--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox215"><span
-class="cmtt-10">\pgfextracty</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-213002"></a>
- <!--l. 387--><p class="noindent">Like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfextractx</span></span></span>, except for the <span
-class="cmmi-10">y</span>-coordinate. </dd></dl>
-<!--l. 393--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.6 </span> <a
- id="x21-21400020.6"></a>Internals of How Point Commands Work</h4>
-<!--l. 395--><p class="noindent">As a normal user of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;you do not need to read this section. It is relevant only if you need to understand how the
-point commands work internally.
-<!--l. 399--><p class="indent"> When a command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{1cm}{2pt}</span></span></span> is called, all that happens is that the two <span class="TEX">T<span
-class="E">E</span>X</span>-dimension
-variables <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> are set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1cm</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2pt</span></span></span>, respectively. A command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span> that takes a
-coordinate as parameter will just execute this parameter and then use the values of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> as the
-coordinates to which it will move the pen on the current path.
-<!--l. 406--><p class="indent"> since commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointnormalised</span></span></span> modify other variables besides <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> during the
-computation of the final values of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span>, it is a good idea to enclose a call of a command like
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint</span></span></span> in a <span class="TEX">T<span
-class="E">E</span>X</span>-scope and then make the changes of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> global as in the following
-example:
-<!--l. 411--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-432-" ><colgroup id="TBL-432-1g"><col
-id="TBL-432-1"></colgroup><tr
- valign="baseline" id="TBL-432-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-432-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;open</span><span
-class="cmsltt-10x-x-80">&nbsp;scope</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpointnormalised{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\global\pgf@x=\pgf@x</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;change</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@x</span><span
-class="cmsltt-10x-x-80">&nbsp;persist</span><span
-class="cmsltt-10x-x-80">&nbsp;past</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;scope</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\global\pgf@y=\pgf@y</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;change</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@y</span><span
-class="cmsltt-10x-x-80">&nbsp;persist</span><span
-class="cmsltt-10x-x-80">&nbsp;past</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;scope</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@x</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@y</span><span
-class="cmsltt-10x-x-80">&nbsp;are</span><span
-class="cmsltt-10x-x-80">&nbsp;now</span><span
-class="cmsltt-10x-x-80">&nbsp;set</span><span
-class="cmsltt-10x-x-80">&nbsp;correctly,</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;other</span><span
-class="cmsltt-10x-x-80">&nbsp;variables</span><span
-class="cmsltt-10x-x-80">&nbsp;are</span>
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;unchanged</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 423--><p class="indent"> Since this situation arises very often, the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@process</span></span></span> can be used to perform the above
-code:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox216"><span
-class="cmtt-10">\pgf@process</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-214001"></a>
- <!--l. 426--><p class="noindent">Executes the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>in a scope and then makes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> global. </dd></dl>
-<!--l. 430--><p class="indent"> Note that this macro is used often internally. For this reason, it is not a good idea to keep anything important in
-the variables <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> since they will be overwritten and changed frequently. Instead, intermediate values
-can ge stored in the <span class="TEX">T<span
-class="E">E</span>X</span>-dimensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@xa</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@xb</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@xc</span></span></span> and their <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">y</span></span></span>-counterparts <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@ya</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@yb</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf@yc</span></span></span>. For example, here is the code of the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointadd</span></span></span>:
-
-
-<!--l. 437--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-433-" ><colgroup id="TBL-433-1g"><col
-id="TBL-433-1"></colgroup><tr
- valign="baseline" id="TBL-433-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-433-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\def\pgfpointadd#1#2{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@process{#1}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@xa=\pgf@x</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@ya=\pgf@y</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@process{#2}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance\pgf@x</span><span
-class="cmtt-8">&nbsp;by\pgf@xa</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance\pgf@y</span><span
-class="cmtt-8">&nbsp;by\pgf@ya}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse21.html" >next</a>] [<a
-href="pgfmanualse19.html" >prev</a>] [<a
-href="pgfmanualse19.html#tailpgfmanualse19.html" >prev-tail</a>] [<a
-href="pgfmanualse20.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse20.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse20.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse21.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse21.html
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@@ -1,1761 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>21 Constructing Paths</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse22.html" >next</a>] [<a
-href="pgfmanualse20.html" >prev</a>] [<a
-href="pgfmanualse20.html#tailpgfmanualse20.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse21.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse21.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">21 </span> <a
- id="x22-21500021"></a>Constructing Paths</h3>
-<!--l. 10--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.1 </span> <a
- id="x22-21600021.1"></a>Overview</h4>
-<!--l. 12--><p class="noindent">The &#8220;basic entity of drawing&#8221; in <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 the <span
-class="cmti-10">path</span>. A path consists of several parts, each of which is either a closed or
-open curve. An open curve has a starting point and an end point and, in between, consists of several <span
-class="cmti-10">segments</span>, each
-of which is either a straight line or a B&eacute;zier curve. Here is an example of a path (in red) consisting of two parts, one
-open, one closed:
-<!--l. 19--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-511.svg" width="336.77493 " height="173.6204 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-434-" ><colgroup id="TBL-434-1g"><col
-id="TBL-434-1"></colgroup><tr
- valign="baseline" id="TBL-434-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-434-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=2]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick,red]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(a)</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;coordinate</span><span
-class="cmtt-8">&nbsp;(ab)</span><span
-class="cmtt-8">&nbsp;(1,.5)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(b)</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;coordinate</span><span
-class="cmtt-8">&nbsp;(bc)</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(up:1cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(left:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(c)</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;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{start</span><span
-class="cmtt-8">&nbsp;part</span><span
-class="cmtt-8">&nbsp;1}</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;(ab)</span><span
-class="cmtt-8">&nbsp;node[below</span><span
-class="cmtt-8">&nbsp;right]</span><span
-class="cmtt-8">&nbsp;{straight</span><span
-class="cmtt-8">&nbsp;segment}</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;(b)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{end</span><span
-class="cmtt-8">&nbsp;first</span><span
-class="cmtt-8">&nbsp;segment}</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;(c)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{end</span><span
-class="cmtt-8">&nbsp;part</span><span
-class="cmtt-8">&nbsp;1}</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;(x)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[above</span><span
-class="cmtt-8">&nbsp;right]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{part</span><span
-class="cmtt-8">&nbsp;2</span><span
-class="cmtt-8">&nbsp;(closed)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 35--><p class="indent"> A path, by itself, has no &#8220;effect,&#8221; that is, it does not leave any marks on the page. It is just a set of
-points on the plane. However, you can <span
-class="cmti-10">use </span>a path in different ways. The most natural actions are
-<span
-class="cmti-10">stroking </span>(also known as <span
-class="cmti-10">drawing</span>) and <span
-class="cmti-10">filling</span>. Stroking can be imagined as picking up a pen of a certain
-diameter and &#8220;moving it along the path.&#8221; Filling means that everything &#8220;inside&#8221; the path is filled
-with a uniform color. Naturally, the open parts of a path must first be closed before a path can be
-filled.
-<!--l. 45--><p class="indent"> In <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, there are numerous commands for constructing paths, all of which start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpath</span></span></span>. There are also
-commands for <span
-class="cmti-10">using </span>paths, though most operations can be performed by calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span> with an appropriate
-parameter.
-<!--l. 50--><p class="indent"> As a side-effect, the path construction commands keep track of two bounding boxes. One is the bounding box for
-the current path, the other is a bounding box for all paths in the current picture. See Section&nbsp;<a
-href="#x22-22800021.13">21.13<!--tex4ht:ref: section-bb --></a> for more
-details.
-<!--l. 55--><p class="indent"> Each path construction command extends the current path in some way. The &#8220;current path&#8221; is a global entity
-that persists across <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups. Thus, between calls to the path construction commands you can
-perform arbitrary computations and even open and closed <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups. The current path only gets
-&#8220;flushed&#8221; when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span> command is called (or when the soft-path subsystem is used directly, see
-Section&nbsp;<a
-href="pgfmanualse34.html#x35-32300034">34<!--tex4ht:ref: section-soft-paths --></a>).
-<!--l. 63--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.2 </span> <a
- id="x22-21700021.2"></a>The Move-To Path Operation</h4>
-<!--l. 65--><p class="noindent">The most basic operation is the move-to operation. It must be given at the beginning of paths, though some path
-construction command (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathrectangle</span></span></span>) generate move-tos implicitly. A move-to operation can also be
-used to start a new part of a path.
-
-
-<!--l. 70--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox217"><span
-class="cmtt-10">\pgfpathmoveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-217001"></a>
- <!--l. 71--><p class="noindent">This command expects a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-coordinate like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointorigin</span></span></span> as its parameter. When the current
- path is empty, this operation will start the path at the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. If a path has already
- been partly constructed, this command will end the current part of the path and start a new
- one.
- <!--l. 76--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-435-" ><colgroup id="TBL-435-1g"><col
-id="TBL-435-1"><col
-id="TBL-435-2"></colgroup><tr
- valign="baseline" id="TBL-435-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-435-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-512.svg" width="115.3439 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-435-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 87--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-436-" ><colgroup id="TBL-436-1g"><col
-id="TBL-436-1"><col
-id="TBL-436-2"></colgroup><tr
- valign="baseline" id="TBL-436-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-436-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-513.svg" width="115.3439 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-436-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{2cm}{1cm}}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;New</span><span
-class="cmsltt-10x-x-80">&nbsp;part</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 99--><p class="noindent">The command will apply the current coordinate transformation matrix to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>before using
- it.
- <!--l. 102--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. </dd></dl>
-<!--l. 107--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.3 </span> <a
- id="x22-21800021.3"></a>The Line-To Path Operation</h4>
-<!--l. 109--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox218"><span
-class="cmtt-10">\pgfpathlineto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-218001"></a>
- <!--l. 110--><p class="noindent">This command extends the current path in a straight line to the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. If this command is given
- at the beginning of path without any other path construction command given before (in particular without a
- move-to operation), the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;file may compile without an error message, but a viewer application may display
- an error message when trying to render the picture.
- <!--l. 116--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-437-" ><colgroup id="TBL-437-1g"><col
-id="TBL-437-1"><col
-id="TBL-437-2"></colgroup><tr
- valign="baseline" id="TBL-437-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-437-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-514.svg" width="77.40703 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-437-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 125--><p class="noindent">The command will apply the current coordinate transformation matrix to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>before using
- it.
- <!--l. 128--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. </dd></dl>
-<!--l. 133--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.4 </span> <a
- id="x22-21900021.4"></a>The Curve-To Path Operation</h4>
-<!--l. 135--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox219"><span
-class="cmtt-10">\pgfpathcurveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">support 1</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">support 2</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-219001"></a>
- <!--l. 136--><p class="noindent">This command extends the current path with a B&eacute;zier curve from the last point of the path to
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">support 1</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">support 2</span><span
-class="cmsy-10">&gt; </span>are the first and second support point of the B&eacute;zier
- curve. For more information on B&eacute;zier curve, please consult a standard textbook on computer graphics.
- <!--l. 142--><p class="noindent">Like the line-to command, this command may not be the first path construction command in a
- path.
- <!--l. 144--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-438-" ><colgroup id="TBL-438-1g"><col
-id="TBL-438-1"><col
-id="TBL-438-2"></colgroup><tr
- valign="baseline" id="TBL-438-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-438-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-515.svg" width="115.3439 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-438-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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;\pgfpathcurveto</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;{\pgfpoint{1cm}{1cm}}{\pgfpoint{2cm}{1cm}}{\pgfpoint{3cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 153--><p class="noindent">The command will apply the current coordinate transformation matrix to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>before using
- it.
- <!--l. 156--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. However, the
- bounding box is simply made large enough such that it encompasses all of the support points and
- the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. This will guarantee that the curve is completely inside the bounding box, but
- the bounding box will typically be quite a bit too large. It is not clear (to me) how this can be
- avoided without resorting to &#8220;some serious math&#8221; in order to calculate a precise bounding box.
- </dd></dl>
-<!--l. 167--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.5 </span> <a
- id="x22-22000021.5"></a>The Close Path Operation</h4>
-<!--l. 169--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox220"><span
-class="cmtt-10">\pgfpathclose</span></span> </dt><dd
-class="description">
-<a
- id="dx22-220001"></a>
- <!--l. 170--><p class="noindent">This command closes the current part of the path by appending a straight line to the start point of the current
- part. Note that there <span
-class="cmti-10">is </span>a difference between closing a path and using the line-to operation to add a straight
- line to the start of the current path. The difference is demonstrated by the upper corners of the triangles in
- the following example:
-
-
- <!--l. 176--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-439-" ><colgroup id="TBL-439-1g"><col
-id="TBL-439-1"><col
-id="TBL-439-2"></colgroup><tr
- valign="baseline" id="TBL-439-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-439-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-516.svg" width="118.27718 " height="118.27718 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-439-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{5pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathclose</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{2.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1.5cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2.5cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 194--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.6 </span> <a
- id="x22-22100021.6"></a>Arc, Ellipse and Circle Path Operations</h4>
-<!--l. 196--><p class="noindent">The path construction commands that we have discussed up to now are sufficient to create all paths that can be
-created &#8220;at all.&#8221; However, it is useful to have special commands to create certain shapes, like circles, that arise often
-in practice.
-<!--l. 201--><p class="indent"> In the following, the commands for adding (parts of) (transformed) circles to a path are described.
-<!--l. 205--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox221"><span
-class="cmtt-10">\pgfpatharc</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start angle</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end angle</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-221001"></a>
- <!--l. 206--><p class="noindent">This command appends a part of a circle (or an ellipse) to the current path. Imaging the curve between
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start angle</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end angle</span><span
-class="cmsy-10">&gt; </span>on a circle of radius <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt; </span>(if <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start angle</span><span
-class="cmsy-10">&gt; </span><span
-class="cmmi-10">&lt; </span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end angle</span><span
-class="cmsy-10">&gt;</span>, the curve
- goes around the circle counterclockwise, otherwise clockwise). This curve is now moved such that the
- point where the curve starts is the previous last point of the path. Note that this command will <span
-class="cmti-10">not</span>
- start a new part of the path, which is important for example for filling purposes.
- <!--l. 215--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-440-" ><colgroup id="TBL-440-1g"><col
-id="TBL-440-1"><col
-id="TBL-440-2"></colgroup><tr
- valign="baseline" id="TBL-440-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-440-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-517.svg" width="133.91231 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-440-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</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{0cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{180}{90}{.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{1.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{90}{-45}{.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 227--><p class="noindent">Saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpatharc{0}{360}{1cm}</span></span></span> &#8220;nearly&#8221; gives you a full circle. The &#8220;nearly&#8221; refers to the fact that the
- circle will not be closed. You can close it using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathclose</span></span></span>.
- <!--l. 231--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt; </span>need not always be a single <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension. Instead, it can also contain a slash,
- in which case it must consist of two dimensions separated by this slash. In this case the first
- dimension is the <span
-class="cmmi-10">x</span>-radius and the second the <span
-class="cmmi-10">y</span>-radius of the ellipse from which the curve is
- taken:
-
-
- <!--l. 237--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-441-" ><colgroup id="TBL-441-1g"><col
-id="TBL-441-1"><col
-id="TBL-441-2"></colgroup><tr
- valign="baseline" id="TBL-441-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-441-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-518.svg" width="131.05789 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-441-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</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{180}{45}{2cm/1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 246--><p class="noindent">The axes of the circle or ellipse from which the arc is &#8220;taken&#8221; always point up and right. However, the current
- coordinate transformation matrix will have an effect on the arc. This can be used to, say, rotate an
- arc:
- <!--l. 251--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-442-" ><colgroup id="TBL-442-1g"><col
-id="TBL-442-1"><col
-id="TBL-442-2"></colgroup><tr
- valign="baseline" id="TBL-442-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-442-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-519.svg" width="125.73721 " height="89.52711 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-442-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</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{180}{45}{2cm/1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 261--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. Unless rotation or
- shearing transformations are applied, the bounding box will be tight. </dd></dl>
-<!--l. 267--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox222"><span
-class="cmtt-10">\pgfpathellipse</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first axis</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second axis</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-221002"></a>
- <!--l. 268--><p class="noindent">The effect of this command is to append an ellipse to the current path (if the path is not empty, a
- new part is started). The ellipse&#8217;s center will be <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first axis</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second axis</span><span
-class="cmsy-10">&gt; </span>are the
- axis <span
-class="cmti-10">vectors</span>. The same effect as this command can also be achieved using an appropriate sequence of
- move-to, arc, and close operations, but this command is easier and faster.
- <!--l. 276--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-443-" ><colgroup id="TBL-443-1g"><col
-id="TBL-443-1"><col
-id="TBL-443-2"></colgroup><tr
- valign="baseline" id="TBL-443-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-443-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-520.svg" width="134.17896 " height="125.73784 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-443-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathellipse{\pgfpoint{1cm}{0cm}}</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{1.5cm}{0cm}}</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{0cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathellipse{\pgfpoint{1cm}{0cm}}</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{1cm}{1cm}}</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{-0.5cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 291--><p class="noindent">The command will apply coordinate transformations to all coordinates of the ellipse. However, the coordinate
-
-
- transformations are applied only after the ellipse is &#8220;finished conceptually.&#8221; Thus, a transformation of 1cm to
- the right will simply shift the ellipse one centimeter to the right; it will not add 1cm to the <span
-class="cmmi-10">x</span>-coordinates of
- the two axis vectors.
- <!--l. 298--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. </dd></dl>
-<!--l. 302--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox223"><span
-class="cmtt-10">\pgfpathcirlce</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-221003"></a>
- <!--l. 303--><p class="noindent">A shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathellipse</span></span></span> applied to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center</span><span
-class="cmsy-10">&gt; </span>and the two axis vectors (<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmmi-10">,</span>0) and
- (0<span
-class="cmmi-10">,</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span>). </dd></dl>
-<!--l. 308--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.7 </span> <a
- id="x22-22200021.7"></a>Rectangle Path Operations</h4>
-<!--l. 310--><p class="noindent">Another shape that arises frequently is the rectangle. Two commands can be used to add a rectangle to the current
-path. Both commands will start a new part of the path.
-<!--l. 315--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox224"><span
-class="cmtt-10">\pgfpathrectangle</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">diagonal vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-222001"></a>
- <!--l. 316--><p class="noindent">Adds a rectangle to the path whose one corner is <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>and whose opposite corner is given by
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>+ <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">diagonal vector</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 320--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-444-" ><colgroup id="TBL-444-1g"><col
-id="TBL-444-1"><col
-id="TBL-444-2"></colgroup><tr
- valign="baseline" id="TBL-444-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-444-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-521.svg" width="134.17897 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-444-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{0cm}}{\pgfpoint{1.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1.5cm}{0.25cm}}{\pgfpoint{1.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{2cm}{0.5cm}}{\pgfpoint{1.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 329--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes tightly.
- </dd></dl>
-<!--l. 334--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox225"><span
-class="cmtt-10">\pgfpathrectanglecorners</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">opposite corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-222002"></a>
- <!--l. 335--><p class="noindent">Adds a rectangle to the path whose two opposing corners are <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">opposite corner</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 337--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-445-" ><colgroup id="TBL-445-1g"><col
-id="TBL-445-1"><col
-id="TBL-445-2"></colgroup><tr
- valign="baseline" id="TBL-445-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-445-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-522.svg" width="115.07718 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-445-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectanglecorners{\pgfpoint{1cm}{0cm}}{\pgfpoint{1.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 344--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes tightly.
- </dd></dl>
-
-
-<!--l. 350--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.8 </span> <a
- id="x22-22300021.8"></a>The Grid Path Operation</h4>
-<!--l. 352--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox226"><span
-class="cmtt-10">\pgfpathgrid</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">upper right</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-223001"></a>
- <!--l. 353--><p class="noindent">Appends a grid to the current path. That is, a (possibly large) number of parts are added to the path,
- each part consisting of a single horizontal or vertical straight line segment.
- <!--l. 357--><p class="noindent">Conceptually, the origin is part of the grid and the grid is clipped to the rectangle specified by the
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left</span><span
-class="cmsy-10">&gt; </span>and the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">upper right</span><span
-class="cmsy-10">&gt; </span>corner. However, no clipping occurs (this command just adds parts to
- the current path). Rather, the points where the lines enter and leave the &#8220;clipping area&#8221; are computed
- and used to add simple lines to the current path.
- <!--l. 364--><p class="noindent">Allowed <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">stepx</span><a
- id="dx22-223002"></a><a
- id="dx22-223003"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the horizontal stepping to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. Default is 1cm.
- </li>
- <li class="itemize"><span
-class="cmtt-10">stepy</span><a
- id="dx22-223004"></a><a
- id="dx22-223005"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the vertical stepping to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. Default is 1cm.
- </li>
- <li class="itemize"><span
-class="cmtt-10">step</span><a
- id="dx22-223006"></a><a
- id="dx22-223007"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt; </span>Sets the horizontal stepping to the <span
-class="cmmi-10">x</span>-coordinate of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt; </span>and the vertical stepping
- to its <span
-class="cmmi-10">y</span>-coordinate.</li></ul>
- <!--l. 374--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-446-" ><colgroup id="TBL-446-1g"><col
-id="TBL-446-1"><col
-id="TBL-446-2"></colgroup><tr
- valign="baseline" id="TBL-446-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-446-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-523.svg" width="138.63931 " height="100.70245 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-446-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{0.8pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathgrid[step={\pgfpoint{1cm}{1cm}}]</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;{\pgfpoint{-3mm}{-3mm}}{\pgfpoint{33mm}{23mm}}</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;\pgfsetlinewidth{0.4pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathgrid[stepx=1mm,stepy=1mm]</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;{\pgfpoint{-1.5mm}{-1.5mm}}{\pgfpoint{31.5mm}{21.5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 386--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes tightly. As for ellipses,
- the transformations are applied to the &#8220;conceptually finished&#8221; grid.
- <!--l. 389--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-447-" ><colgroup id="TBL-447-1g"><col
-id="TBL-447-1"><col
-id="TBL-447-2"></colgroup><tr
- valign="baseline" id="TBL-447-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-447-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-524.svg" width="133.37686 " height="133.37686 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-447-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{10}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathgrid[stepx=1mm,stepy=2mm]{\pgfpoint{0mm}{0mm}}{\pgfpoint{30mm}{30mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 399--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.9 </span> <a
- id="x22-22400021.9"></a>The Parabola Path Operation</h4>
-<!--l. 401--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox227"><span
-class="cmtt-10">\pgfpathparabola</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">bend vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-224001"></a>
- <!--l. 402--><p class="noindent">This command appends two half-parabolas to the current path. The first starts at the current point
- and ends at the current point plus <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">bend vector</span><span
-class="cmsy-10">&gt;</span>. At his point, it has its bend. The second half parabola
- starts at that bend point and end at point that is given by the bend plus <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end vector</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 408--><p class="noindent">If you set <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end vector</span><span
-class="cmsy-10">&gt; </span>to the null vector, you append only a half parabola that goes from the current
- point to the bend; by setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">bend vector</span><span
-class="cmsy-10">&gt; </span>to the null vector, you append only a half parabola that
- goes to current point plus <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end vector</span><span
-class="cmsy-10">&gt; </span>and has its bend at the current point.
- <!--l. 414--><p class="noindent">It is not possible to use this command to draw a part of a parabola that does not contain the bend.
- <!--l. 417--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-448-" ><colgroup id="TBL-448-1g"><col
-id="TBL-448-1"><col
-id="TBL-448-2"></colgroup><tr
- valign="baseline" id="TBL-448-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-448-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-525.svg" width="153.28075 " height="191.21764 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-448-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><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;Half-parabola</span><span
-class="cmsltt-10x-x-80">&nbsp;going</span><span
-class="cmsltt-10x-x-80">&nbsp;``up</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;right''</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;\pgfpathparabola{\pgfpointorigin}{\pgfpoint{2cm}{4cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><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;Half-parabola</span><span
-class="cmsltt-10x-x-80">&nbsp;going</span><span
-class="cmsltt-10x-x-80">&nbsp;``down</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;right''</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;\pgfpathparabola{\pgfpoint{-2cm}{4cm}}{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{blue}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><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;Full</span><span
-class="cmsltt-10x-x-80">&nbsp;parabola</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{-2cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathparabola{\pgfpoint{1cm}{-1cm}}{\pgfpoint{2cm}{4cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{orange}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 438--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes. </dd></dl>
-<!--l. 443--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.10 </span> <a
- id="x22-22500021.10"></a>Sine and Cosine Path Operations</h4>
-<!--l. 445--><p class="noindent">Sine and cosine curves often need to be drawn and the following commands may help with this. However, they only
-allow you to append sine and cosine curves in intervals that are multiples of <span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2.
-<!--l. 449--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox228"><span
-class="cmtt-10">\pgfpathsine</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-225001"></a>
- <!--l. 450--><p class="noindent">This command appends a sine curve in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2] to the current path. The sine curve is squeezed or
- stretched such that the curve starts at the current point and ends at the current point plus
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span>.
-
-
- <!--l. 454--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-449-" ><colgroup id="TBL-449-1g"><col
-id="TBL-449-1"><col
-id="TBL-449-2"></colgroup><tr
- valign="baseline" id="TBL-449-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-449-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-526.svg" width="153.14738 " height="115.34387 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-449-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsine{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsine{\pgfpoint{-2cm}{-2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 467--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes. </dd></dl>
-<!--l. 471--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox229"><span
-class="cmtt-10">\pgfpathcosine</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-225002"></a>
- <!--l. 472--><p class="noindent">This command appends a cosine curve in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2] to the current path. The curve is squeezed or
- stretched such that the curve starts at the current point and ends at the current point plus <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span>. Using
- several sine and cosine operations in sequence allows you to produce a complete sine or cosine
- curve
- <!--l. 477--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-450-" ><colgroup id="TBL-450-1g"><col
-id="TBL-450-1"><col
-id="TBL-450-2"></colgroup><tr
- valign="baseline" id="TBL-450-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-450-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-527.svg" width="153.2807 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-450-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsine{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcosine{\pgfpoint{1cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsine{\pgfpoint{1cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcosine{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 488--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes. </dd></dl>
-<!--l. 493--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.11 </span> <a
- id="x22-22600021.11"></a>Plot Path Operations</h4>
-<!--l. 495--><p class="noindent">There exist several commands for appending plots to a path. These commands are available through the package
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span>. They are documented in Section&nbsp;<a
-href="pgfmanualse29.html#x30-29000029">29<!--tex4ht:ref: section-plots --></a>.
-<!--l. 501--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.12 </span> <a
- id="x22-22700021.12"></a>Rounded Corners</h4>
-<!--l. 503--><p class="noindent">Normally, when you connect two straight line segments or when you connect two curves that end and start &#8220;at
-different angles&#8221; you get &#8220;sharp corners&#8221; between the lines or curves. In some cases it is desirable to produce
-&#8220;rounded corners&#8221; instead. Thus, the lines or curves should be shortened a bit and then connected by
-arcs.
-<!--l. 509--><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>&nbsp;offers an easy way to achieve this effect, by calling the following two commands.
-<!--l. 512--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox230"><span
-class="cmtt-10">\pgfsetcornersarced</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-227001"></a>
- <!--l. 513--><p class="noindent">This command causes all subsequent corners to be replaced by little arcs. The effect of this command
- lasts till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope.
- <!--l. 517--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>dictates how large the corner arc will be. Consider a corner made by two lines <span
-class="cmmi-10">l </span>and&nbsp;<span
-class="cmmi-10">r</span>
- and assume that the line <span
-class="cmmi-10">l </span>comes first on the path. The <span
-class="cmmi-10">x</span>-dimension of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>decides by how
- much the line&nbsp;<span
-class="cmmi-10">l </span>will be shortened, the <span
-class="cmmi-10">y</span>-dimension of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>decides by how much the line <span
-class="cmmi-10">r </span>will be
- shortened. Then, the shortened lines are connected by an arc.
- <!--l. 524--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-451-" ><colgroup id="TBL-451-1g"><col
-id="TBL-451-1"><col
-id="TBL-451-2"></colgroup><tr
- valign="baseline" id="TBL-451-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-451-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-528.svg" width="115.3439 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-451-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetcornersarced{\pgfpoint{5mm}{5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectanglecorners{\pgfpointorigin}{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 534--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-452-" ><colgroup id="TBL-452-1g"><col
-id="TBL-452-1"><col
-id="TBL-452-2"></colgroup><tr
- valign="baseline" id="TBL-452-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-452-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-529.svg" width="115.3439 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-452-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetcornersarced{\pgfpoint{10mm}{5mm}}</span>
-<br><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;10mm</span><span
-class="cmsltt-10x-x-80">&nbsp;entering,</span>
-<br><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;5mm</span><span
-class="cmsltt-10x-x-80">&nbsp;leaving.</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{0cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcurveto</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;{\pgfpoint{3cm}{0cm}}</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;{\pgfpoint{2cm}{0cm}}</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;{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 552--><p class="noindent">If the <span
-class="cmmi-10">x</span>- and <span
-class="cmmi-10">y</span>-coordinates of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>are the same and the corner is a right angle, you will get a perfect
- quarter circle (well, not quite perfect, but perfect up to six decimals). When the angle is not 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>, you only get
- a fair approximation.
- <!--l. 557--><p class="noindent">More or less &#8220;all&#8221; corners will be rounded, even the corner generated by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathclose</span></span></span> command. (The
- author is a bit proud of this feature.)
- <!--l. 561--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-453-" ><colgroup id="TBL-453-1g"><col
-id="TBL-453-1"><col
-id="TBL-453-2"></colgroup><tr
- valign="baseline" id="TBL-453-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-453-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-530.svg" width="70.16187 " height="73.69295 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-453-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetcornersarced{\pgfpoint{4pt}{4pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointpolar{0}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointpolar{72}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointpolar{144}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointpolar{216}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointpolar{288}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathclose</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 574--><p class="noindent">To return to normal (unrounded) corners, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetcornersarced{\pgfpointorigin}</span></span></span>.
- <!--l. 577--><p class="noindent">Note that the rounding will produce strange and undesirable effects if the lines at the corners are too short. In
- this case the shortening may cause the lines to &#8220;suddenly extend over the other end&#8221; which is rarely desirable.
- </dd></dl>
-<!--l. 586--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.13 </span> <a
- id="x22-22800021.13"></a>Internal Tracking of Bounding Boxes for Paths and Pictures</h4>
-<!--l. 592--><p class="noindent">The path construction commands keep track of two bounding boxes: One for the current path, which is reset
-whenever the path is used and thereby flushed, and a bounding box for the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
-<!--l. 596--><p class="indent"> The bounding boxes are not accessible by &#8220;normal&#8221; macros. Rather, two sets of four dimension variables are
-used for this, all of which contain the letter&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">@</span></span></span>.
-<!--l. 600--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox231"><span
-class="cmtt-10">\pgf@pathminx</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228001"></a>
- <!--l. 601--><p class="noindent">The minimum <span
-class="cmmi-10">x</span>-coordinate &#8220;mentioned&#8221; in the current path. Initially, this is set to 16000pt. </dd></dl>
-<!--l. 605--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox232"><span
-class="cmtt-10">\pgf@pathmaxx</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228002"></a>
- <!--l. 606--><p class="noindent">The maximum <span
-class="cmmi-10">x</span>-coordinate &#8220;mentioned&#8221; in the current path. Initially, this is set to <span
-class="cmsy-10">-</span>16000pt. </dd></dl>
-<!--l. 610--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox233"><span
-class="cmtt-10">\pgf@pathminy</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228003"></a>
- <!--l. 611--><p class="noindent">The minimum <span
-class="cmmi-10">y</span>-coordinate &#8220;mentioned&#8221; in the current path. Initially, this is set to 16000pt. </dd></dl>
-<!--l. 615--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox234"><span
-class="cmtt-10">\pgf@pathmaxy</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228004"></a>
- <!--l. 616--><p class="noindent">The maximum <span
-class="cmmi-10">y</span>-coordinate &#8220;mentioned&#8221; in the current path. Initially, this is set to <span
-class="cmsy-10">-</span>16000pt. </dd></dl>
-<!--l. 620--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox235"><span
-class="cmtt-10">\pgf@picminx</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228005"></a>
- <!--l. 621--><p class="noindent">The minimum <span
-class="cmmi-10">x</span>-coordinate &#8220;mentioned&#8221; in the current picture. Initially, this is set to 16000pt. </dd></dl>
-<!--l. 625--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox236"><span
-class="cmtt-10">\pgf@picmaxx</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228006"></a>
- <!--l. 626--><p class="noindent">The maximum <span
-class="cmmi-10">x</span>-coordinate &#8220;mentioned&#8221; in the current picture. Initially, this is set to <span
-class="cmsy-10">-</span>16000pt. </dd></dl>
-<!--l. 630--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox237"><span
-class="cmtt-10">\pgf@picminy</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228007"></a>
- <!--l. 631--><p class="noindent">The minimum <span
-class="cmmi-10">y</span>-coordinate &#8220;mentioned&#8221; in the current picture. Initially, this is set to 16000pt. </dd></dl>
-
-
-<!--l. 635--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox238"><span
-class="cmtt-10">\pgf@picmaxy</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228008"></a>
- <!--l. 636--><p class="noindent">The maximum <span
-class="cmmi-10">y</span>-coordinate &#8220;mentioned&#8221; in the current picture. Initially, this is set to <span
-class="cmsy-10">-</span>16000pt. </dd></dl>
-<!--l. 641--><p class="indent"> Each time a path construction command is called, the above variables are (globally) updated. To facilitate this,
-you can use the following command:
-<!--l. 645--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox239"><span
-class="cmtt-10">\pgf@protocolsizes</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x-dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y-dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228009"></a>
- <!--l. 646--><p class="noindent">Updates all of the above dimension in such a way that the point specified by the two arguments
- is inside both bounding boxes. For the picture&#8217;s bounding box this updating occurs only if
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgf@relevantforpicturesize</span></span></span> is true, see below. </dd></dl>
-<!--l. 652--><p class="indent"> For the bounding box of the picture it is not always desirable that every path construction command affects this
-bounding box. For example, if you have just used a clip command, you do not want anything outside the clipping
-area to affect the bounding box. For this reason, there exists a special &#8220;<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;if&#8221; that (locally) decides whether
-updating should be applied to the picture&#8217;s bounding box. Clipping will set this if to false, as will certain other
-commands.
-<!--l. 660--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox240"><span
-class="cmtt-10">\pgf@relevantforpicturesizefalse</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228010"></a>
- <!--l. 661--><p class="noindent">Suppresses updating of the picture&#8217;s bounding box. </dd></dl>
-<!--l. 664--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox241"><span
-class="cmtt-10">\pgf@relevantforpicturesizetrue</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228011"></a>
- <!--l. 665--><p class="noindent">Causes updating of the picture&#8217;s bounding box. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse22.html" >next</a>] [<a
-href="pgfmanualse20.html" >prev</a>] [<a
-href="pgfmanualse20.html#tailpgfmanualse20.html" >prev-tail</a>] [<a
-href="pgfmanualse21.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse21.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse21.html"></a>
-</body></html>
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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>22 Snakes</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)">
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- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse23.html" >next</a>] [<a
-href="pgfmanualse21.html" >prev</a>] [<a
-href="pgfmanualse21.html#tailpgfmanualse21.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse22.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse22.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">22 </span> <a
- id="x23-22900022"></a>Snakes</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">22.1 </span> <a
- id="x23-23000022.1"></a>Overview</h4>
-<!--l. 14--><p class="noindent">A <span
-class="cmti-10">snake </span>is a &#8220;way of adding a winding line to a path.&#8221; To be a bit more precise, you use snakes to extend the path
-and the commands for using snakes start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpath</span></span></span>. However, snakes do not necessarily extend the path using
-line-to and curve-to operations; rather, they can also contain move-to operations and, thereby, cause the path to be
-split into many subpaths.
-<!--l. 21--><p class="indent"> As an example, let us consider a simple snake like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> snake. It looks like this:
-<!--l. 24--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-454-" ><colgroup id="TBL-454-1g"><col
-id="TBL-454-1"><col
-id="TBL-454-2"></colgroup><tr
- valign="baseline" id="TBL-454-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-454-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-531.svg" width="115.24718 " height="44.13002 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-454-1-2"
-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[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;(0,-.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,-1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 31--><p class="indent"> The above example demonstrates the two key features of snakes:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x23-230002x1"></a>Snakes are made up from little segments that are repeated several times. For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> snake these
- segements look like this: <object data="pgfmanual-532.svg" width="14.94733 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x23-230004x2"></a>Snakes &#8220;follow along a straight to the target point.&#8221; Thus, when the target point is not to the right of
- the start point, the snake is rotated appropriately.</li></ol>
-<!--l. 44--><p class="indent"> In order to use snakes, they first have to be <span
-class="cmti-10">declared</span>. This declaration contains a detailed description of
-how each segement of the snake looks like and in what ordering the different possible segments are
-used.
-<!--l. 49--><p class="indent"> Once a snake has been declared, it can be used. For this you specify a target point and a snaked line will be
-added from the last point current point to the target point.
-<!--l. 54--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">22.2 </span> <a
- id="x23-23100022.2"></a>Declaring a Snake</h4>
-<!--l. 57--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">22.2.1 </span> <a
- id="x23-23200022.2.1"></a>Segments</h5>
-<!--l. 59--><p class="noindent">When you declare a snake, you provide a description of how the different segments of the snake will be rendered.
-The description of each segment should be given in a way as if the target of the snaked line where at (+<span
-class="cmsy-10"><img
-src="cmsy10-31.png" alt=" oo " class="10x-x-31" /></span><span
-class="cmmi-10">,</span>0) and as
-if the segment&#8217;s start where at the origin. Thus, for example, the segment of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> might be defined using the
-following code:
-<!--l. 65--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-455-" ><colgroup id="TBL-455-1g"><col
-id="TBL-455-1"></colgroup><tr
- valign="baseline" id="TBL-455-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-455-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpathlineto{\pgfpoint{5pt}{5pt}}</span>
-<br><span
-class="cmtt-8">\pgfpathlineto{\pgfpoint{15pt}{-5pt}}</span>
-<br><span
-class="cmtt-8">\pgfpathlineto{\pgfpoint{20pt}{0pt}}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--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>&nbsp;will ensure that an appropriate coordinate transformation is in place when the snake segment is added to
-the path such that the snake segment actually points in the right direction. Also subsequent snake segments will be
-transformed such that they are &#8220;further along the line&#8221; toward the target. All transformations are setup
-automatically.
-
-
-<!--l. 78--><p class="indent"> Note that we did not use a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto{\pgfpointorigin}</span></span></span> at the beginning of the segment code. Doing so
-would subdivide the path into numerous subpath. Rather, we assume that the previous segment caused the current
-point to be at the origin.
-<!--l. 83--><p class="indent"> While we can now describe segments, we still need a way to &#8220;stop&#8221; the snake. Also, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;needs to know the
-width of the different snake segments such that it can translate the next segment correctly. Even though it would be
-possible to compute all this information automatically, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does not do so and you have to provide the information
-&#8220;by hand&#8221; for each segment.
-<!--l. 91--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">22.2.2 </span> <a
- id="x23-23300022.2.2"></a>Snake Automata</h5>
-<!--l. 93--><p class="noindent">Up to now our snakes only have one segment that is repeated again and again. However, we might also like to have
-<span
-class="cmti-10">different </span>segments and use rules to describe which segment should be used where. For example, we might have
-special segments at the start and at the end.
-<!--l. 98--><p class="indent"> For snakes we use a mechanism known in computer science as <span
-class="cmti-10">finite automata </span>to describe which segment is used
-in each part of the snake. The idea is the following: For the first segment we start in a special <span
-class="cmti-10">state</span>
-called the <span
-class="cmti-10">initial state</span>. In this state, and also in all other state later, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;first computes how much
-space is left on the snake. That is, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;keeps track of the distance to the target. Attached to each
-state there is a set of rules of the following form: &#8220;If the remaining distance is less than <span
-class="cmmi-10">x</span>, switch to
-state&nbsp;<span
-class="cmmi-10">q</span>.&#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;checks for each of these rules whether it applies and, if so, immediately switches to
-state&nbsp;<span
-class="cmmi-10">q</span>.
-<!--l. 110--><p class="indent"> Only if none of the rules tell us to switch to another state, <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 execute the state&#8217;s code. This code will add
-a segment to the path. In addition to the rules there is also width parameter attached to each state. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;then
-translates the coordinate system by this width and reduces the remaining distance. Then, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;either stays in
-the current state or switches to another state, depending on yet another property attached of the
-state.
-<!--l. 119--><p class="indent"> The whole process stops when a special state called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">final</span></span></span> is reached. The segment of this state is added to the
-path immediately (it is often empty, though) and the process ends.
-<!--l. 123--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">22.2.3 </span> <a
- id="x23-23400022.2.3"></a>The Snake Declaration Command</h5>
-<!--l. 126--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox242"><span
-class="cmtt-10">\pgfdeclaresnake</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">initial state</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">states</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-234001"></a>
- <!--l. 127--><p class="noindent">This command declares a new snake called <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">states</span><span
-class="cmsy-10">&gt; </span>argument contains a description of
- the snake automaton&#8217;s states and the transitions between them. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">initial state</span><span
-class="cmsy-10">&gt; </span>is the state in which
- the automaton starts.
- <!--l. 132--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">states</span><span
-class="cmsy-10">&gt; </span>argument should consist of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\state</span></span></span> commands, one for each state of the snake automaton.
- The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\state</span></span></span> command is defined only when the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">states</span><span
-class="cmsy-10">&gt; </span>argument is executed.
-
-
- <!--l. 136--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-456-" ><colgroup id="TBL-456-1g"><col
-id="TBL-456-1"><col
-id="TBL-456-2"></colgroup><tr
- valign="baseline" id="TBL-456-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-456-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-533.svg" width="115.1629 " height="125.8888 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-456-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclaresnake{example</span><span
-class="cmtt-8">&nbsp;snake}{initial}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{initial}[width=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\pgfpathlineto{\pgfpoint{0pt}{5pt}}</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;\pgfpathlineto{\pgfpoint{5pt}{5pt}}</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;\pgfpathlineto{\pgfpoint{5pt}{-5pt}}</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;\pgfpathlineto{\pgfpoint{10pt}{-5pt}}</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;\pgfpathlineto{\pgfpoint{10pt}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{final}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\pgfpathlineto{\pgfpoint{\pgfsnakeremainingdistance}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmtt-8">\tikz{\draw[snake=example</span><span
-class="cmtt-8">&nbsp;snake]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</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;\draw[snake=example</span><span
-class="cmtt-8">&nbsp;snake]</span><span
-class="cmtt-8">&nbsp;(0,-1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,-3);}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 156--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\state</span></span></span> command works as follows:
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox243"><span
-class="cmtt-10">\state</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-234002"></a>
- <!--l. 158--><p class="noindent">This command declares a new state inside the current snake automaton. The state is names
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 161--><p class="noindent">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 in state <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>, the following things happen:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x23-234004x1"></a>The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are parsed. This may lead, see below, to a state switch. When this happens,
- the following steps are not executed. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are executed one after the other in the
- given order. If an option causes a state switch, the switch is immediate, even if later options
- might cause a different state switch.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x23-234006x2"></a>The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed. When this happens, the coordinate transformation will be setup such
- that the origin is at the start of the segment and such that the target lies in the direction
- &#8220;east.&#8221;
- </li>
- <li class="enumerate" value="3"
-><a
- id="x23-234008x3"></a>After the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>has been executed, the state switches to whatever state has been specified
- inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">next</span><span
-class="cmtt-10">&nbsp;state</span></span></span> option. If no <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">next</span><span
-class="cmtt-10">&nbsp;state</span></span></span> has been specified, the
- state stays the same.</li></ol>
- <!--l. 183--><p class="noindent">The following options are allowed inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span>:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">switch if less than</span><a
- id="dx23-234009"></a><a
- id="dx23-234010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;to</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new state</span><span
-class="cmsy-10">&gt; </span>When this option is encountered,
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;checks whether the remaining distance to the target is less than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. If so, an
- immediate state switch to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new state</span><span
-class="cmsy-10">&gt; </span>occurs.
- </li>
- <li class="itemize"><span
-class="cmtt-10">width</span><a
- id="dx23-234011"></a><a
- id="dx23-234012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option tells <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;the width of the segment if it is appended to the
- path. The coordinate system will, afterward, be translated by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to ensure that the
- next segment starts where the current one ended.
- <!--l. 196--><p class="noindent">In addition, this option will cause an immediate switch to the state <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">final</span></span></span> if the
- remaining distance is less than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. The effect is the same as if you had said
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">switch</span><span
-class="cmtt-10">&nbsp;if</span><span
-class="cmtt-10">&nbsp;less</span><span
-class="cmtt-10">&nbsp;than=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;to</span><span
-class="cmtt-10">&nbsp;final</span></span></span> just before the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">width</span></span></span> option.
- </li>
- <li class="itemize"><span
-class="cmtt-10">next state</span><a
- id="dx23-234013"></a><a
- id="dx23-234014"></a>=<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new state</span><span
-class="cmsy-10">&gt; </span>After the segment has been added to the path, a state switch to
-
-
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new state</span><span
-class="cmsy-10">&gt; </span>is performed. If this option is not given, the next state is the same as the current
- state.</li></ul>
- <!--l. 207--><p class="noindent">There are two dimensions that are useful inside snake automata:
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox244"><span
-class="cmtt-10">\pgfsnakeremainingdistance</span></span> </dt><dd
-class="description">
-<a
- id="dx23-234015"></a>
- <!--l. 209--><p class="noindent">This <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension holds the remaining distance to the target. </dd></dl>
- <!--l. 211--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox245"><span
-class="cmtt-10">\pgfsnakecompleteddistance</span></span> </dt><dd
-class="description">
-<a
- id="dx23-234016"></a>
- <!--l. 212--><p class="noindent">This <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension holds the distance already completed on the snake. </dd></dl>
- </dd></dl>
- <!--l. 217--><p class="noindent">As a final example we present a more complicated snake that makes use of the different options:
-
-
- <!--l. 219--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-457-" ><colgroup id="TBL-457-1g"><col
-id="TBL-457-1"><col
-id="TBL-457-2"></colgroup><tr
- valign="baseline" id="TBL-457-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-457-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-534.svg" width="119.80125 " height="244.3185 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-457-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclaresnake{complicated</span><span
-class="cmtt-8">&nbsp;example</span><span
-class="cmtt-8">&nbsp;snake}{initial}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{initial}[width=5pt,next</span><span
-class="cmtt-8">&nbsp;state=up]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</span><span
-class="cmtt-8">&nbsp;}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{up}[width=5pt,next</span><span
-class="cmtt-8">&nbsp;state=down]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\ifdim\pgfsnakeremainingdistance&gt;\pgfsnakecompleteddistance</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Growing</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;\pgfpathlineto{\pgfpoint{0pt}{\pgfsnakecompleteddistance}}</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;\pgfpathlineto{\pgfpoint{5pt}{\pgfsnakecompleteddistance}}</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;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</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;\else</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Shrinking</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;\pgfpathlineto{\pgfpoint{0pt}{\pgfsnakeremainingdistance}}</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;\pgfpathlineto{\pgfpoint{5pt}{\pgfsnakeremainingdistance}}</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;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</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;\fi</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{down}[width=5pt,next</span><span
-class="cmtt-8">&nbsp;state=up]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\ifdim\pgfsnakeremainingdistance&gt;\pgfsnakecompleteddistance</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Growing</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;\pgfpathlineto{\pgfpoint{0pt}{-\pgfsnakecompleteddistance}}</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;\pgfpathlineto{\pgfpoint{5pt}{-\pgfsnakecompleteddistance}}</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;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</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;\else</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Shrinking</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;\pgfpathlineto{\pgfpoint{0pt}{-\pgfsnakeremainingdistance}}</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;\pgfpathlineto{\pgfpoint{5pt}{-\pgfsnakeremainingdistance}}</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;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</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;\fi</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{final}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\pgfpathlineto{\pgfpoint{\pgfsnakeremainingdistance}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[snake=complicated</span><span
-class="cmtt-8">&nbsp;example</span><span
-class="cmtt-8">&nbsp;snake]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red!50,snake,rounded</span><span
-class="cmtt-8">&nbsp;corners=2pt]</span><span
-class="cmtt-8">&nbsp;(.5,-2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(2.5,-2.5)</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;</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;</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;</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;[snake=none]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0,-.5)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(0,-2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 267--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">22.2.4 </span> <a
- id="x23-23500022.2.4"></a>Predefined Snakes</h5>
-<!--l. 269--><p class="noindent">Only two very simple and basic snakes are predefined when you load <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. For more interesting snakes you can use
-the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibrarysnakes</span></span></span>.
-<!--l. 273--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox246">Snake <span
-class="cmtt-10">lineto</span></span> </dt><dd
-class="description">
-<a
- id="dx23-235001"></a>
-<a
- id="dx23-235002"></a>
- <!--l. 274--><p class="noindent">This most trivial of all snakes is simply a straight line. This snake is typically not used in a &#8220;stand
- alone&#8221; fashion. Rather, it is useful as a &#8220;subsnake&#8221; of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesto</span></span></span> command. </dd></dl>
-<!--l. 279--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox247">Snake <span
-class="cmtt-10">moveto</span></span> </dt><dd
-class="description">
-<a
- id="dx23-235003"></a>
-<a
- id="dx23-235004"></a>
- <!--l. 280--><p class="noindent">Arguably, this snake is even simpler than the previous snake. This snake consists of a simple move-to
- operation. Like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">lineto</span></span></span> snake, it is useful as a &#8220;subsnake&#8221; of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesto</span></span></span> command. </dd></dl>
-<!--l. 288--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">22.3 </span> <a
- id="x23-23600022.3"></a>Using Snakes</h4>
-<!--l. 290--><p class="noindent">Three commands can be used to use a snake.
-<!--l. 292--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox248"><span
-class="cmtt-10">\pgfpathsnakealongvector</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">length</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-236001"></a>
- <!--l. 293--><p class="noindent">This command will append the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake</span><span
-class="cmsy-10">&gt; </span>to the current path. The length of the snake is given by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">length</span><span
-class="cmsy-10">&gt;</span>. The
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt; </span>should be a normalizes vector (a vector having length <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1pt</span></span></span>) pointing in the direction in which the
- snake should grow.
- <!--l. 297--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-458-" ><colgroup id="TBL-458-1g"><col
-id="TBL-458-1"><col
-id="TBL-458-2"></colgroup><tr
- valign="baseline" id="TBL-458-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-458-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-535.svg" width="115.07718 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-458-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsnakealongvector{zigzag}{2cm}{\pgfpointpolar{30}{1pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 307--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox249"><span
-class="cmtt-10">\pgfpathsnakesto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-236002"></a>
- <!--l. 308--><p class="noindent">This command will append the snakes in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake list</span><span
-class="cmsy-10">&gt; </span>to the current path such that it ends at
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>. This command calls the previous one (repeatedly, possibly) after having computed the distance
- from the current point to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt; </span>and normalized the vector connecting the current point to the target.
- <!--l. 314--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake list</span><span
-class="cmsy-10">&gt; </span>is a comma-separated list of pairs consisting of a snake name in curly braces and a
- distance in curly braces. For example, a snake list might be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{lineto}{1cm},{moveto}{2cm}</span></span></span>. This is
- interpreted as follows: Use a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">lineto</span></span></span> snake for the first centimeter of the way to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span>, then use
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">moveto</span></span></span> snake for the next two centimeters.
- <!--l. 321--><p class="noindent">No attempt is made to check or ensure that the distances of the &#8220;subsnakes&#8217; add up to the distnace
- from the current point to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span>. However, it is possible to refer to this distance inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake</span>
- <span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt;</span>: While the snake list is processed, the two <span class="TEX">T<span
-class="E">E</span>X</span>-dimensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakeremainingdistance</span></span></span> and
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakecompleteddistance</span></span></span> will be set to the correct values. For example, consider the example
-
-
- from a above, consisting of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">lineto</span></span></span> and a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">moveto</span></span></span> snake. Suppose the distance to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt; </span>where 5cm.
- Then, when the length of the first subsnake is computed, the remaining distance willbe set to 5cm and
- the completed distance to 0cm. When the length of the second subsnake is computed, the remaining
- distance wil be 4cm and the completed distance will be 1cm.
- <!--l. 335--><p class="noindent">Here are some useful examles: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{zigzag}{\pgfsnakeremainingdistance}</span></span></span> is a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake list</span><span
-class="cmsy-10">&gt; </span>that consists only of
- a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> snake whose length is the total distance from the current point to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span>. Next, to get a snake
- that is a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> snake that is preceeded and succeeded by 3mm of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">lineto</span></span></span>, you can use the
- following:
- <!--l. 341--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-459-" ><colgroup id="TBL-459-1g"><col
-id="TBL-459-1"><col
-id="TBL-459-2"></colgroup><tr
- valign="baseline" id="TBL-459-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-459-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-536.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-459-1-2"
-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](0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</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;\pgfpathsnakesto{</span><span
-class="cmsltt-10x-x-80">%</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;{lineto}{3mm},</span><span
-class="cmsltt-10x-x-80">%</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;{zigzag}{\pgfsnakeremainingdistance-6mm},</span><span
-class="cmsltt-10x-x-80">%</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;{lineto}{3mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 354--><p class="noindent">Note that the computation of the distance may be imprecise. In general, the placement precision of the snakes
- will not be perfect. </dd></dl>
-<!--l. 358--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox250"><span
-class="cmtt-10">\pgfpathsnaketo</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-236003"></a>
- <!--l. 359--><p class="noindent">This command is just a shortcut for calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathsnakesto</span></span></span> for a single snake whose length is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakeremainingdistance</span></span></span>.
- <!--l. 361--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-460-" ><colgroup id="TBL-460-1g"><col
-id="TBL-460-1"><col
-id="TBL-460-2"></colgroup><tr
- valign="baseline" id="TBL-460-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-460-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-537.svg" width="115.2013 " height="77.2684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-460-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsnaketo{zigzag}{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 371--><p class="indent"> As was already mentioned, when each segment of the snake is added to the path, an appropriate coordinate
-transformation will be in force. It is sometimes useful to add an additional transformation locally. For
-example, by reflecting everything around the <span
-class="cmmi-10">x</span>-axis right before each segment is added, the snake will
-effectively be mirrored along the path. The following command allows you to install such a &#8220;last minute
-transformation.&#8221;
-<!--l. 379--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox251"><span
-class="cmtt-10">\pgfsetsnakesegmenttransformation</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-236004"></a>
- <!--l. 380--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be executed at the very beginning of each segment. Normally, this be a transformation
- command that changes the <span
-class="cmmi-10">y</span>-axis in some way. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse23.html" >next</a>] [<a
-href="pgfmanualse21.html" >prev</a>] [<a
-href="pgfmanualse21.html#tailpgfmanualse21.html" >prev-tail</a>] [<a
-href="pgfmanualse22.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse22.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse22.html"></a>
-</body></html>
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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>23 Using Paths</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse24.html" >next</a>] [<a
-href="pgfmanualse22.html" >prev</a>] [<a
-href="pgfmanualse22.html#tailpgfmanualse22.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse23.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse23.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">23 </span> <a
- id="x24-23700023"></a>Using Paths</h3>
-<!--l. 10--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.1 </span> <a
- id="x24-23800023.1"></a>Overview</h4>
-<!--l. 12--><p class="noindent">Once a path has been constructed, it can be <span
-class="cmti-10">used </span>in different ways. For example, you can draw the path or fill it or
-use it for clipping.
-<!--l. 16--><p class="indent"> Numerous graph parameters influence how a path will be rendered. For example, when you draw a path,
-the line width is important as well as the dashing pattern. The options that govern how paths are
-rendered can all be set with commands starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfset</span></span></span>. <span
-class="cmti-10">All options that influence how a path is</span>
-<span
-class="cmti-10">rendered always influence the complete path. </span>Thus, it is not possible to draw part of a path using, say, a
-red color and drawing another part using a green color. To achieve such an effect, you must use two
-paths.
-<!--l. 25--><p class="indent"> In detail, paths can be used in the following ways:
-<!--l. 27--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x24-238002x1"></a>You can <span
-class="cmti-10">stroke </span>(also known as <span
-class="cmti-10">draw</span>) a path.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x24-238004x2"></a>You can <span
-class="cmti-10">fill </span>a path with a uniform color.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x24-238006x3"></a>You can <span
-class="cmti-10">clip </span>subsequent renderings against the path.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x24-238008x4"></a>You can <span
-class="cmti-10">shade </span>a path.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x24-238010x5"></a>You can <span
-class="cmti-10">use the path as bounding box </span>for the whole picture.</li></ol>
-<!--l. 39--><p class="noindent">You can also perform any combination of the above, though it makes no sense to fill and shade a path at the same
-time.
-<!--l. 42--><p class="indent"> To perform (a combination of) the first three actions, you can use the following command:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox252"><span
-class="cmtt-10">\pgfusepath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">actions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-238011"></a>
- <!--l. 45--><p class="noindent">Applies the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">actions</span><span
-class="cmsy-10">&gt; </span>to the current path. Afterwards, the current path is (globally) empty. The
- following actions are possible:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> fills the path. See Section&nbsp;<a
-href="#x24-24600023.3">23.3<!--tex4ht:ref: section-fill --></a> for further details.
- <!--l. 51--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-461-" ><colgroup id="TBL-461-1g"><col
-id="TBL-461-1"><col
-id="TBL-461-2"></colgroup><tr
- valign="baseline" id="TBL-461-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-461-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-538.svg" width="38.93684 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-461-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">stroke</span></span></span> strokes the path. See Section&nbsp;<a
-href="#x24-23900023.2">23.2<!--tex4ht:ref: section-stroke --></a> for further details.
- <!--l. 61--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-462-" ><colgroup id="TBL-462-1g"><col
-id="TBL-462-1"><col
-id="TBL-462-2"></colgroup><tr
- valign="baseline" id="TBL-462-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-462-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-539.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-462-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> clips all subsequent drawings against the path. See Section&nbsp;<a
-href="#x24-25000023.4">23.4<!--tex4ht:ref: section-clip --></a> for further details.
- <!--l. 72--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-463-" ><colgroup id="TBL-463-1g"><col
-id="TBL-463-1"><col
-id="TBL-463-2"></colgroup><tr
- valign="baseline" id="TBL-463-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-463-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-540.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-463-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke,clip}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{1cm}{1cm}}{0.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">discard</span></span></span> discards the path, that is, it is not used at all. Giving this option (alone) has the same effect as
- giving an empty options list.</li></ul>
- <!--l. 87--><p class="noindent">When more than one of the first three actions are given, they are applied in the above ordering, regardless of
- their ordering in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">actions</span><span
-class="cmsy-10">&gt;</span>. Thus, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{stroke,fill}</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{fill,stroke}</span></span></span> have the same effect.
- </dd></dl>
-<!--l. 93--><p class="indent"> To shade a path, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshadepath</span></span></span> command, which is explained in Section&nbsp;<a
-href="pgfmanualse28.html#x29-28600028">28<!--tex4ht:ref: section-shadings --></a>.
-<!--l. 98--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.2 </span> <a
- id="x24-23900023.2"></a>Stroking a Path</h4>
-<!--l. 101--><p class="noindent">When you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath{stroke}</span></span></span> to stroke a path, several graphic parameters influence how the path is drawn.
-The commands for setting these parameters are explained in the following.
-<!--l. 105--><p class="indent"> Note that all graphic parameters apply to the path as a whole, never only to a part of it.
-<!--l. 108--><p class="indent"> All graphic parameters are local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>, but they persists past <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups, <span
-class="cmti-10">except </span>for
-the interior rule (even-odd or nonzero) and the arrow tip kinds. The latter graphic parameters only
-persist till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group, but this may change in the future, so do not count on
-this.
-<!--l. 114--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.1 </span> <a
- id="x24-24000023.2.1"></a>Graphic Parameter: Line Width</h5>
-<!--l. 116--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox253"><span
-class="cmtt-10">\pgfsetlinewidth</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">line width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-240001"></a>
- <!--l. 117--><p class="noindent">This command sets the line width for subsequent strokes (in the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfscope</span></span></span>). The line width is
- given as a normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.4pt</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1mm</span></span></span>.
-
-
- <!--l. 121--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-464-" ><colgroup id="TBL-464-1g"><col
-id="TBL-464-1"><col
-id="TBL-464-2"></colgroup><tr
- valign="baseline" id="TBL-464-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-464-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-541.svg" width="84.46104 " height="25.65889 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-464-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{0mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{0mm}}</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;\pgfsetlinewidth{2\pgflinewidth}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;double</span><span
-class="cmsltt-10x-x-80">&nbsp;in</span><span
-class="cmsltt-10x-x-80">&nbsp;size</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 135--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox254"><span
-class="cmtt-10">\pgflinewidth</span></span> </dt><dd
-class="description">
-<a
- id="dx24-240002"></a>
- <!--l. 136--><p class="noindent">You can access the current line width via the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflinewidth</span></span></span>. It will be set to the
- correct line width, that is, even when a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group closed, the value will be correct since it is set
- globally, but when a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> closes, the value is set to the correct value it had before the scope. </dd></dl>
-<!--l. 144--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.2 </span> <a
- id="x24-24100023.2.2"></a>Graphic Parameter: Caps and Joins</h5>
-<!--l. 146--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox255"><span
-class="cmtt-10">\pgfsetbuttcap</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241001"></a>
- <!--l. 147--><p class="noindent">Sets the line cap to a butt cap. See Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a> for an explanation of what this is. </dd></dl>
-<!--l. 150--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox256"><span
-class="cmtt-10">\pgfsetroundcap</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241002"></a>
- <!--l. 151--><p class="noindent">Sets the line cap to a round cap. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 154--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox257"><span
-class="cmtt-10">\pgfsetrectcap</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241003"></a>
- <!--l. 155--><p class="noindent">Sets the line cap to a square cap. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 158--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox258"><span
-class="cmtt-10">\pgfsetroundjoin</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241004"></a>
- <!--l. 159--><p class="noindent">Sets the line join to a round join. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 162--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox259"><span
-class="cmtt-10">\pgfsetbeveljoin</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241005"></a>
- <!--l. 163--><p class="noindent">Sets the line join to a bevel join. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 166--><p class="noindent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox260"><span
-class="cmtt-10">\pgfsetmiterjoin</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241006"></a>
- <!--l. 167--><p class="noindent">Sets the line join to a miter join. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 170--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox261"><span
-class="cmtt-10">\pgfsetmiterlimit</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">miter limit factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241007"></a>
- <!--l. 171--><p class="noindent">Sets the miter limit to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">miter limit factor</span><span
-class="cmsy-10">&gt;</span>. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 175--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.3 </span> <a
- id="x24-24200023.2.3"></a>Graphic Parameter: Dashing</h5>
-<!--l. 177--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox262"><span
-class="cmtt-10">\pgfsetdash</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list of even length of dimensions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-242001"></a>
- <!--l. 178--><p class="noindent">Sets the dashing of a line. The first entry in the list specifies the length of the first solid part of the
- list. The second entry specifies the length of the following gap. Then comes the length of the second
- solid part, following by the length of the second gap, and so on. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt; </span>specifies where the first
- solid part starts relative to the beginning of the line.
- <!--l. 185--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-465-" ><colgroup id="TBL-465-1g"><col
-id="TBL-465-1"><col
-id="TBL-465-2"></colgroup><tr
- valign="baseline" id="TBL-465-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-465-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-542.svg" width="77.40703 " height="9.12067 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-465-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{0mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{0mm}}</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;\pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0.1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{1mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{1mm}}</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;\pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0.2cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{2mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{2mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 202--><p class="noindent">Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetdash{}{0pt}</span></span></span> to get a solid dashing. </dd></dl>
-<!--l. 205--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.4 </span> <a
- id="x24-24300023.2.4"></a>Graphic Parameter: Stroke Color</h5>
-<!--l. 207--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox263"><span
-class="cmtt-10">\pgfsetstrokecolor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-243001"></a>
- <!--l. 208--><p class="noindent">Sets the color used for stroking lines to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>is a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;color like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">red</span></span></span> or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">black!20!red</span></span></span>. Unlike the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command, the effect of this command lasts till the end of the current
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> and not till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group.
- <!--l. 214--><p class="noindent">The color used for stroking may be different from the color used for filling. However, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command
- will always &#8220;immediately override&#8221; any special settings for the stroke and fill colors.
- <!--l. 218--><p class="noindent">In plain <span class="TEX">T<span
-class="E">E</span>X</span>, this command will also work, but the problem of <span
-class="cmti-10">defining </span>a color arises. After all, plain
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not provide <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;colors. For this reason, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;implements a minimalistic &#8220;emulation&#8221; of
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\definecolor</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\colorlet</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> commands. Only gray-scale and rgb colors are supported.
- For most cases this turns out to be enough.
-
-
- <!--l. 225--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-466-" ><colgroup id="TBL-466-1g"><col
-id="TBL-466-1"><col
-id="TBL-466-2"></colgroup><tr
- valign="baseline" id="TBL-466-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-466-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-543.svg" width="100.96912 " height="25.0954 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-466-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0cm}{0cm}}{3mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetstrokecolor{black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{1cm}{0cm}}{3mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{2cm}{0cm}}{3mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 238--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox264"><span
-class="cmtt-10">\pgfsetcolor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-243002"></a>
- <!--l. 239--><p class="noindent">Sets both the stroke and fill color. The difference to the normal <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command is that the effect
- lasts till the end of the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>, not only till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. </dd></dl>
-<!--l. 246--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.5 </span> <a
- id="x24-24400023.2.5"></a>Graphic Parameter: Stroke Opacity</h5>
-<!--l. 248--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox265"><span
-class="cmtt-10">\pgfsetstrokeopacity</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-244001"></a>
- <!--l. 249--><p class="noindent">Sets the opacity of stroking operations. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>should be a number between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span>, where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span>
- means &#8220;fully opaque&#8221; and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> means &#8220;fully transparent.&#8221; A value like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> will cause paths to be stroked
- in a semitransparent way.
- <!--l. 254--><p class="noindent"><span
-class="cmti-10">Note: </span>For PostScript output, opacity is rendered correctly only with the most recent versions of
- GhostScript. Printers and other programs will ignore the opacity setting.
- <!--l. 258--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-467-" ><colgroup id="TBL-467-1g"><col
-id="TBL-467-1"><col
-id="TBL-467-2"></colgroup><tr
- valign="baseline" id="TBL-467-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-467-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-544.svg" width="133.77893 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-467-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{5mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0cm}{0cm}}{10mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetstrokeopacity{0.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{1cm}{0cm}}{10mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 271--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.6 </span> <a
- id="x24-24500023.2.6"></a>Graphic Parameter: Arrows</h5>
-<!--l. 273--><p class="noindent">After a path has been drawn, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;can add arrow tips at the ends. Currently, it will only add arrows correctly at the
-end of paths that consist of a single open part. For other paths, like closed paths or path consisting of multiple
-parts, the result is not defined.
-<!--l. 278--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox266"><span
-class="cmtt-10">\pgfsetarrowsstart</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow kind</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245001"></a>
- <!--l. 279--><p class="noindent">Sets the arrow tip kind used at the start of a (possibly curved) path. When this option is used, the
- line will often be slightly shortened to ensure that the tip of the arrow will exactly &#8220;touch&#8221; the &#8220;real&#8221;
- start of the line.
- <!--l. 284--><p class="noindent">To &#8220;clear&#8221; the start arrow, say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetarrowsstart{}</span></span></span>.
- <!--l. 285--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-468-" ><colgroup id="TBL-468-1g"><col
-id="TBL-468-1"><col
-id="TBL-468-2"></colgroup><tr
- valign="baseline" id="TBL-468-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-468-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-545.svg" width="39.47017 " height="9.12067 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-468-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</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;\pgfsetarrowsstart{to}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0cm}{2mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{2mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 298--><p class="noindent">The effect of this command persists only till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope.
- <!--l. 301--><p class="noindent">The different possible arrow kinds are explained in Section&nbsp;<a
-href="pgfmanualse24.html#x25-25200024">24<!--tex4ht:ref: section-arrows --></a>. </dd></dl>
-<!--l. 305--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox267"><span
-class="cmtt-10">\pgfsetarrowsend</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow kind</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245002"></a>
- <!--l. 306--><p class="noindent">Sets the arrow tip kind used at the end of a path.
- <!--l. 307--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-469-" ><colgroup id="TBL-469-1g"><col
-id="TBL-469-1"><col
-id="TBL-469-2"></colgroup><tr
- valign="baseline" id="TBL-469-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-469-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-546.svg" width="39.47017 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-469-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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;\pgfsetarrowsend{to}</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{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 318--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox268"><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="dx24-245003"></a>
- <!--l. 319--><p class="noindent">Sets the start arrow kind to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start kind</span><span
-class="cmsy-10">&gt; </span>and the end kind to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end kind</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 321--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-470-" ><colgroup id="TBL-470-1g"><col
-id="TBL-470-1"><col
-id="TBL-470-2"></colgroup><tr
- valign="baseline" id="TBL-470-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-470-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-547.svg" width="39.47017 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-470-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 331--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox269"><span
-class="cmtt-10">\pgfsetshortenstart</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245004"></a>
- <!--l. 332--><p class="noindent">This command will shortened the start of every stroked path by the given dimension. This shortening
- is done in addition to automatic shortening done by a start arrow, but it can be used even if no start
- arrow is given.
-
-
- <!--l. 337--><p class="noindent">This command is useful if you wish arrows or lines to &#8220;stop shortly before&#8221; a given point.
- <!--l. 339--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-471-" ><colgroup id="TBL-471-1g"><col
-id="TBL-471-1"><col
-id="TBL-471-2"></colgroup><tr
- valign="baseline" id="TBL-471-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-471-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-548.svg" width="96.37544 " height="39.47014 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-471-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{5mm}</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;\pgfsetarrows{latex-}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetshortenstart{4pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{5mm}{0cm}}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;would</span><span
-class="cmsltt-10x-x-80">&nbsp;be</span><span
-class="cmsltt-10x-x-80">&nbsp;on</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;circle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 352--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox270"><span
-class="cmtt-10">\pgfsetshortenend</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245005"></a>
- <!--l. 353--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetshortenstart</span></span></span>. </dd></dl>
-<!--l. 358--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.3 </span> <a
- id="x24-24600023.3"></a>Filling a Path</h4>
-<!--l. 361--><p class="noindent">Filling a path means coloring every interior point of the path with the current fill color. It is not always obvious
-whether a point is &#8220;inside&#8221; a path when the path is self-intersecting and/or consists or multiple parts. In this case
-either the nonzero winding number rule or the even-odd crossing number rule is used to decide, which points lie
-&#8220;inside.&#8221; These rules are explained in Section&nbsp;<a
-href="pgfmanualse10.html#x11-12800010.3">10.3<!--tex4ht:ref: section-rules --></a>.
-<!--l. 369--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.3.1 </span> <a
- id="x24-24700023.3.1"></a>Graphic Parameter: Interior Rule</h5>
-<!--l. 371--><p class="noindent">You can set which rule is used using the following commands:
-<!--l. 373--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox271"><span
-class="cmtt-10">\pgfseteorule</span></span> </dt><dd
-class="description">
-<a
- id="dx24-247001"></a>
- <!--l. 374--><p class="noindent">Dictates that the even-odd rule is used in subsequent fillings in the current <span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span><span
-class="cmti-10">&nbsp;scope</span>. Thus, for once,
- the effect of this command does not persist past the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope.
- <!--l. 378--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-472-" ><colgroup id="TBL-472-1g"><col
-id="TBL-472-1"><col
-id="TBL-472-2"></colgroup><tr
- valign="baseline" id="TBL-472-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-472-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-549.svg" width="73.07997 " height="54.11157 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-472-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfseteorule</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0mm}{0cm}}{7mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{5mm}{0cm}}{7mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 388--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox272"><span
-class="cmtt-10">\pgfsetnonzerorule</span></span> </dt><dd
-class="description">
-<a
- id="dx24-247002"></a>
-
-
- <!--l. 389--><p class="noindent">Dictates that the nonzero winding number rule is used in subsequent fillings in the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope.
- This is the default.
- <!--l. 392--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-473-" ><colgroup id="TBL-473-1g"><col
-id="TBL-473-1"><col
-id="TBL-473-2"></colgroup><tr
- valign="baseline" id="TBL-473-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-473-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-550.svg" width="73.07997 " height="54.11157 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-473-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetnonzerorule</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0mm}{0cm}}{7mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{5mm}{0cm}}{7mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 402--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.3.2 </span> <a
- id="x24-24800023.3.2"></a>Graphic Parameter: Filling Color</h5>
-<!--l. 404--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox273"><span
-class="cmtt-10">\pgfsetfillcolor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-248001"></a>
- <!--l. 405--><p class="noindent">Sets the color used for filling paths to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>. Like the stroke color, the effect lasts only till the next
- use of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span>. </dd></dl>
-<!--l. 410--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.3.3 </span> <a
- id="x24-24900023.3.3"></a>Graphic Parameter: Fill Opacity</h5>
-<!--l. 412--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox274"><span
-class="cmtt-10">\pgfsetfillopacity</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-249001"></a>
- <!--l. 413--><p class="noindent">Sets the opacity of filling operations. As for stroking, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>should be a number between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> and&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span>.
- <!--l. 416--><p class="noindent">The &#8220;filling transparency&#8221; will also be used for text and images.
- <!--l. 418--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-474-" ><colgroup id="TBL-474-1g"><col
-id="TBL-474-1"><col
-id="TBL-474-2"></colgroup><tr
- valign="baseline" id="TBL-474-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-474-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-551.svg" width="150.16975 " height="141.36632 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-474-1-2"
-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;\pgfsetfillopacity{0.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(90:1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(11mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[green]</span><span
-class="cmtt-8">&nbsp;(210:1cm)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(11mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(-30:1cm)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(11mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 428--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.4 </span> <a
- id="x24-25000023.4"></a>Clipping a Path</h4>
-<!--l. 431--><p class="noindent">When you add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option, the current path is used for clipping subsequent drawings. The same rule as for
-filling is used to decide whether a point is inside or outside the path, that is, either the even-odd rule or the nonzero
-rule.
-<!--l. 436--><p class="indent"> Clipping never enlarges the clipping area. Thus, when you clip against a certain path and then clip again against
-another path, you clip against the intersection of both.
-<!--l. 440--><p class="indent"> The only way to enlarge the clipping path is to end the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> in which the clipping was
-done. At the end of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> the clipping path that was in force at the beginning of the scope is
-reinstalled.
-<!--l. 445--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.5 </span> <a
- id="x24-25100023.5"></a>Using a Path as a Bounding Box</h4>
-<!--l. 448--><p class="noindent">When you add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box</span></span></span> option, the bounding box of the picture will be enlarged such that the
-path in encompassed, but any <span
-class="cmti-10">subsequent </span>paths of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope will not have any effect on the
-size of the bounding box. Typically, you use this command at the very beginning of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>
-environment.
-<!--l. 454--><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;Left<object data="pgfmanual-552.svg" width="12.4814 " height="6.74069 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>right.&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">Left</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{use</span><span
-class="cmtt-8">&nbsp;as</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;draws</span><span
-class="cmsltt-10x-x-80">&nbsp;nothing</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{2ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span>
-<br><span
-class="cmtt-8">right.</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse24.html" >next</a>] [<a
-href="pgfmanualse22.html" >prev</a>] [<a
-href="pgfmanualse22.html#tailpgfmanualse22.html" >prev-tail</a>] [<a
-href="pgfmanualse23.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse23.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse23.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse24.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse24.html
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@@ -1,1367 +0,0 @@
-<!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="2005-11-15 18:41:00">
-<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-553.svg" width="49.57451 " height="10.25916 " 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-554.svg" width="18.70366 " height="5.6296 " 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-555.svg" width="460.91939 " height="101.73952 " 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-556.svg" width="460.91939 " height="101.73952 " 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="colorbox275"><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-476-" ><colgroup id="TBL-476-1g"><col
-id="TBL-476-1"><col
-id="TBL-476-2"></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"> &nbsp;<object data="pgfmanual-557.svg" width="80.87367 " height="31.66655 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-476-1-2"
-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-477-" ><colgroup id="TBL-477-1g"><col
-id="TBL-477-1"></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"> <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-478-" ><colgroup id="TBL-478-1g"><col
-id="TBL-478-1"><col
-id="TBL-478-2"></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"> &nbsp;<object data="pgfmanual-558.svg" width="80.87367 " height="105.32631 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-478-1-2"
-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-479-" ><colgroup id="TBL-479-1g"><col
-id="TBL-479-1"></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"> <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-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="80.87367 " height="86.35788 " 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[-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-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-560.svg" width="121.61049 " height="77.14032 " 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">\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-561.svg" width="328.05121 " height="242.24754 " 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-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="121.61049 " height="77.14032 " 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">\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="colorbox276"><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-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="152.74736 " height="95.84207 " 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">\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="colorbox277"><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-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="152.74736 " height="95.84207 " 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">\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="colorbox278"><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-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="152.74736 " height="95.84207 " 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>
- <!--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-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="152.74736 " height="95.84207 " 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">\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="colorbox279"><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-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="152.74736 " height="95.84207 " 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">\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="colorbox280"><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-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="152.74736 " height="95.84207 " 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">\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="colorbox281"><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-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="152.74736 " height="95.84207 " 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;\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="colorbox282"><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-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="152.74736 " height="95.84207 " 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;\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="colorbox283"><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-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"> &nbsp;<object data="pgfmanual-571.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-1-2"
-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-492-" ><colgroup id="TBL-492-1g"><col
-id="TBL-492-1"><col
-id="TBL-492-2"></colgroup><tr
- valign="baseline" id="TBL-492-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-1-1"
-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-492-1-2"
-class="td11"> yields thick <object data="pgfmanual-572.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-573.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-2-1"
-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-492-2-2"
-class="td11"> yields thick <object data="pgfmanual-574.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-575.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-3-1"
-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-492-3-2"
-class="td11"> yields thick <object data="pgfmanual-576.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-577.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-4-1"
-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-492-4-2"
-class="td11"> yields thick <object data="pgfmanual-578.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-579.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-5-1"
-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-492-5-2"
-class="td11"> yields thick <object data="pgfmanual-580.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-581.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-6-1"
-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-492-6-2"
-class="td11"> yields thick <object data="pgfmanual-582.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-583.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-7-1"
-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-492-7-2"
-class="td11"> yields thick <object data="pgfmanual-584.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-585.svg" width="38.93684 " height="15.35175 " 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
-href="pgfmanual.html#pgfmanualse24.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse24.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse25.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse25.html
deleted file mode 100644
index 19acf3d5b2a..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse25.html
+++ /dev/null
@@ -1,2658 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>25 Nodes and Shapes</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse26.html" >next</a>] [<a
-href="pgfmanualse24.html" >prev</a>] [<a
-href="pgfmanualse24.html#tailpgfmanualse24.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse25.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse25.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">25 </span> <a
- id="x26-26000025"></a>Nodes and Shapes</h3>
-<!--l. 12--><p class="noindent">This section describes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshapes</span></span></span> package.
-<!--l. 14--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox284"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfbaseshapes</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-260001"></a>
-<a
- id="dx26-260002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox285"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseshapes</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox286"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseshapes</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 15--><p class="noindent">This package defines commands both for creating nodes and for creating shapes. The package is loaded
- automatically by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, but you can load it manually if you have only included <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>. </dd></dl>
-<!--l. 21--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.1 </span> <a
- id="x26-26100025.1"></a>Overview</h4>
-<!--l. 23--><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;comes with a sophisticated set of commands for creating <span
-class="cmti-10">nodes </span>and <span
-class="cmti-10">shapes</span>. A <span
-class="cmti-10">node </span>is a graphical object that
-consists (typically) of (one or more) text labels and some additional stroked or filled paths. Each node has a certain
-<span
-class="cmti-10">shape</span>, which may be something simple like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> or a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, but it may also be something complicated like
-a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">uml</span><span
-class="cmtt-10">&nbsp;class</span><span
-class="cmtt-10">&nbsp;diagram</span></span></span> (this shape is currently not implemented, though). Different nodes that have the same shape
-may look quite different, however, since shapes (need not) specify whether the shape path is stroked or
-filled.
-<!--l. 35--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.1.1 </span> <a
- id="x26-26200025.1.1"></a>Creating and Referencing Nodes</h5>
-<!--l. 37--><p class="noindent">You create a node by calling the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> or the more general <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span>. These macro takes
-several parameters and draws the requested shape at a certain position. In addition, it will &#8220;remember&#8221; the node&#8217;s
-position within the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. You can then, later on, refer to the node&#8217;s position. Coordinate
-transformations are &#8220;fully supported,&#8221; which means that if you used coordinate transformations to shift or rotate
-the shape of a node, the node&#8217;s position will still be correctly determined by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. This is <span
-class="cmti-10">not </span>the case if you use
-canvas transformations, instead.
-<!--l. 49--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.1.2 </span> <a
- id="x26-26300025.1.2"></a>Anchors</h5>
-<!--l. 51--><p class="noindent">An important property of a node or a shape in general are its <span
-class="cmti-10">anchors</span>. Anchors are &#8220;important&#8221; positions in a
-shape. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span> anchor lies at the center of a shape, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> anchor is usually &#8220;at the top, in the
-middle&#8221; of a shape, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor is the lower left corner of the shape&#8217;s text label (if present), and so
-on.
-<!--l. 58--><p class="indent"> Anchors are important both when you create a node and when you reference it. When you create a node, you
-specify the node&#8217;s &#8220;position&#8221; by asking <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to place the shape in such a way that a certain anchor lies at a certain
-point. For example, you might ask that the node is placed such that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> anchor is at the origin. This will
-effectively cause the node to be placed below the origin.
-
-
-<!--l. 66--><p class="indent"> When you reference a node, you always reference an anchor of the node. For example, when you request
-the &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> anchor of the node just placed&#8221; you will get the origin. However, you can also request
-the &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span> anchor of this node,&#8221; which will give you a point somewhere below the origin. When a
-coordinate transformation was in force at the time of creation of a node, all anchors are also transformed
-accordingly.
-<!--l. 74--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.1.3 </span> <a
- id="x26-26400025.1.3"></a>Layers of a Shape</h5>
-<!--l. 76--><p class="noindent">The simplest shape, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>, has just one anchor, namely the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span>, and a label (which is usually empty).
-More complicated shapes like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape also have a <span
-class="cmti-10">background path</span>. This is a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-path that is defined
-by the shape. The shape does not prescribe what should happen with the path: When a node is created this path
-may be stroked (resulting in a frame around the label), filled (resulting in a background color for the text), or just
-discarded.
-<!--l. 85--><p class="indent"> Although most shapes consist just of a background path plus some label text, when a shape is drawn, up to
-seven different layers are drawn:
-<!--l. 88--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x26-264002x1"></a>The &#8220;behind the background layer.&#8221; Unlike the background path, which be used in different ways by
- different nodes, the graphic commands given for this layer will always stroke or always fill the path
- they construct. They might also insert some text that is &#8220;behind everything.&#8221;
- </li>
- <li class="enumerate" value="2"
-><a
- id="x26-264004x2"></a>The background path layer. How this path is used depends on how the arguments of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span>
- command.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x26-264006x3"></a>The &#8220;before the background path layer.&#8221; This layer works like the first one, only the commands of this
- layer are executed after the background path has been used (in whatever way the creator of the node
- chose).
- </li>
- <li class="enumerate" value="4"
-><a
- id="x26-264008x4"></a>The label layer. This layer inserts the node&#8217;s text box(es).
- </li>
- <li class="enumerate" value="5"
-><a
- id="x26-264010x5"></a>The &#8220;behind the foreground layer.&#8221; This layer, like the first layer, once more contains graphic commands
- that are &#8220;simply executed.&#8221;
- </li>
- <li class="enumerate" value="6"
-><a
- id="x26-264012x6"></a>The foreground path layer. This path is treated in the same way as the background path, only it is
- drawn only after the label text has been drawn.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x26-264014x7"></a>The &#8220;before the foreground layer.&#8221;</li></ol>
-<!--l. 117--><p class="indent"> Which of these layers are actually used depends on the shape.
-<!--l. 121--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.1.4 </span> <a
- id="x26-26500025.1.4"></a>Node Parts</h5>
-<!--l. 123--><p class="noindent">A shape typically does not consist only of different background and foreground paths, but it may also have text
-labels. Indeed, for many shapes the text labels are the more important part of the shape.
-<!--l. 127--><p class="indent"> Most shapes will have only one text label. In this case, this text label is simply passed as a parameter to the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> command. When the node is drawn, the text label is shifted around such that its lower left corner is at
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor of the node.
-<!--l. 132--><p class="indent"> More complicated shapes may have more than one text label. Nodes of such shapes are called <span
-class="cmti-10">multipart nodes</span>.
-The different <span
-class="cmti-10">node parts </span>are simply the different text labels. For example, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">uml</span><span
-class="cmtt-10">&nbsp;class</span></span></span> shape might have a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">class</span><span
-class="cmtt-10">&nbsp;name</span></span></span> part, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">method</span></span></span> part and an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">attributes</span></span></span> part. Indeed, single part nodes are a special case of multipart
-nodes: They only have one part named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span>.
-
-
-<!--l. 139--><p class="indent"> When a shape is declared, you must specify the node parts. There is a simple command called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nodeparts</span></span></span> that
-takes a list of the part names as input. When you create a node of a multipart shape, for each part of the node you
-must have setup a <span class="TEX">T<span
-class="E">E</span>X</span>-box containing the text of the part. For a part named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">XYZ</span></span></span> you must setup the box
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodepartXYZbox</span></span></span>. The box will be placed at the anchor <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">XYZ</span></span></span>. See the description of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span> for
-more details.
-<!--l. 148--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.2 </span> <a
- id="x26-26600025.2"></a>Creating Nodes</h4>
-<!--l. 150--><p class="noindent">You create a node using on of the following commands:
-<!--l. 153--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox287"><span
-class="cmtt-10">\pgfnode</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">label text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">path usage command</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266001"></a>
- <!--l. 154--><p class="noindent">This command creates a new node. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span><span
-class="cmsy-10">&gt; </span>of the node must have been declared previously using
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareshape</span></span></span>.
- <!--l. 157--><p class="noindent">The shape is shifted such that the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>is at the origin. In order to place the shape somewhere
- else, use the coordinate transformation prior to calling this command.
- <!--l. 161--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>is a name for later reference. If no name is given, nothing will be &#8220;saved&#8221; for the node, it
- will just be drawn.
- <!--l. 164--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">path usage command</span><span
-class="cmsy-10">&gt; </span>is executed for the background and the foreground path (if the shape
- defines them).
- <!--l. 167--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-493-" ><colgroup id="TBL-493-1g"><col
-id="TBL-493-1"><col
-id="TBL-493-2"></colgroup><tr
- valign="baseline" id="TBL-493-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-493-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-586.svg" width="154.67291 " height="115.07718 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-493-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(4,3);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\pgftransformshift{\pgfpoint{1cm}{1cm}}</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;\pgfnode{rectangle}{north}{Hello</span><span
-class="cmtt-8">&nbsp;World}{hellonode}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\color{red!20}</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;\pgftransformrotate{10}</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;\pgftransformshift{\pgfpoint{3cm}{1cm}}</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;\pgfnode{rectangle}{center}</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;{\color{black}Hello</span><span
-class="cmtt-8">&nbsp;World}{hellonode}{\pgfusepath{fill}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 184--><p class="noindent">As can be seen, all coordinate transformations are also applied to the text of the shape. Sometimes, it is
- desirable that the transformations are applied to the point where the shape will be anchored, but you do not
- wish the shape itself to the transformed. In this case, you should call <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransformresetnontranslations</span></span></span>
- prior to calling the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> command.
-
-
- <!--l. 192--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-494-" ><colgroup id="TBL-494-1g"><col
-id="TBL-494-1"><col
-id="TBL-494-2"></colgroup><tr
- valign="baseline" id="TBL-494-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-494-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-587.svg" width="153.01402 " height="115.07718 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-494-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(4,3);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\color{red!20}</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;\pgftransformrotate{10}</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;\pgftransformshift{\pgfpoint{3cm}{1cm}}</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;\pgftransformresetnontranslations</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;\pgfnode{rectangle}{center}</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;{\color{black}Hello</span><span
-class="cmtt-8">&nbsp;World}{hellonode}{\pgfusepath{fill}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 206--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">label text</span><span
-class="cmsy-10">&gt; </span>is typeset inside the <span class="TEX">T<span
-class="E">E</span>X</span>-box <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodeparttextbox</span></span></span>. This box is shown at the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor
- of the node, if the node has a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> part. See the description of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span> for details.
- </dd></dl>
-<!--l. 213--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox288"><span
-class="cmtt-10">\pgfmultipartnode</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">path usage command</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266002"></a>
- <!--l. 214--><p class="noindent">This command is the more general (and less user-friendly) version of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> command. While
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> command can only be used for shapes that have a single part (which is the case for most
- shapes), this command can also be used with multi-part nodes.
- <!--l. 219--><p class="noindent">When this command is called, for each node part of the node you must have setup one
- <span class="TEX">T<span
-class="E">E</span>X</span>-box. Suppose the shape has two parts: The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> part and the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span> part. Then,
- prior to calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span>, you must have setup the boxes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodeparttextbox</span></span></span> and
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodepartoutputbox</span></span></span>. These boxes may contain any <span class="TEX">T<span
-class="E">E</span>X</span>-text. The shape code will then compute
- the positions of the shape&#8217;s anchors based on the sizes of the these shapes. Finally, when the node is
- drawn, the boxes are placed at the anchor positions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span>.
- <!--l. 229--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-495-" ><colgroup id="TBL-495-1g"><col
-id="TBL-495-1"><col
-id="TBL-495-2"></colgroup><tr
- valign="baseline" id="TBL-495-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-495-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-588.svg" width="43.10022 " height="43.10022 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-495-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\setbox\pgfnodeparttextbox=\hbox{$q_1$}</span>
-<br><span
-class="cmtt-8">\setbox\pgfnodepartoutputbox=\hbox{01}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfmultipartnode{state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output}{center}{my</span><span
-class="cmtt-8">&nbsp;state}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 237--><p class="noindent"><span
-class="cmti-10">Note: </span>Be careful when using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\setbox</span></span></span> command inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> command. You will have to use
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfinterruptpath</span></span></span> at the beginning of the box and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endpgfinterruptpath</span></span></span> at the end of the box to make
- sure that the box is typeset correctly. In the above example this problem was sidestepped by moving the box
- construction outside the environment.
- <!--l. 244--><p class="noindent"><span
-class="cmti-10">Note: </span>It is not necessary to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\newbox</span></span></span> for every node part name. Although you need a different box for each
- part of a single shape, two different shapes may very well use the same box even when the names of the parts
- are different. Suppose you have a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;output</span></span></span> shape that has an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span> part and you have a
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">uml</span><span
-class="cmtt-10">&nbsp;class</span></span></span> shape that has a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">methods</span></span></span> part. Then, in order to avoid exhausting <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s limited number of box
- registers, you can say
- <!--l. 251--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-496-" ><colgroup id="TBL-496-1g"><col
-id="TBL-496-1"></colgroup><tr
- valign="baseline" id="TBL-496-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-496-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newbox\pgfnodepartoutputbox</span>
-<br><span
-class="cmtt-8">\let\pgfnodepartmethodsbox=\pgfnodepartoutputbox</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 255--><p class="noindent">Also, when you have a node part name with spaces like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">class</span><span
-class="cmtt-10">&nbsp;name</span></span></span>, it may be useful to create an
- alias:
-
-
- <!--l. 257--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-497-" ><colgroup id="TBL-497-1g"><col
-id="TBL-497-1"></colgroup><tr
- valign="baseline" id="TBL-497-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-497-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newbox\mybox</span>
-<br><span
-class="cmtt-8">\expandafter\let\csname</span><span
-class="cmtt-8">&nbsp;pgfnodepartclass</span><span
-class="cmtt-8">&nbsp;namebox\endcsname=\mybox</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 263--><p class="indent"> There are a number of values that have an influence on the size of a node. These parameters can be changed
-using the following commands:
-<!--l. 266--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox289"><span
-class="cmtt-10">\pgfsetshapeminwidth</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266003"></a>
- <!--l. 267--><p class="noindent">This command sets the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span> to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. This dimension is the <span
-class="cmti-10">recommended</span>
- minimum width of a shape. Thus, when a shape is drawn and when the shape&#8217;s width would be smaller
- than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>, the shape&#8217;s width is enlarged by adding some empty space.
- <!--l. 273--><p class="noindent">Note that this value is just a recommendation. A shape may choose to ignore the value of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span>.
- <!--l. 276--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-498-" ><colgroup id="TBL-498-1g"><col
-id="TBL-498-1"><col
-id="TBL-498-2"></colgroup><tr
- valign="baseline" id="TBL-498-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-498-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-589.svg" width="153.01402 " height="48.41037 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-498-1-2"
-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;(-2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetshapeminwidth{3cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World}{}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 286--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox290"><span
-class="cmtt-10">\pgfsetshapeminheight</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266004"></a>
- <!--l. 287--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetshapeminwidth</span></span></span>. </dd></dl>
-<!--l. 291--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox291"><span
-class="cmtt-10">\pgfsetshapeinnerxsep</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266005"></a>
- <!--l. 292--><p class="noindent">This command sets the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeinnerxsep</span></span></span> to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. This dimension is the
- <span
-class="cmti-10">recommended </span>horizontal inner separation between the label text and the background path. As
- before, this value is just a recommendation and a shape may choose to ignore the value of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeinnerxsep</span></span></span>.
- <!--l. 298--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-499-" ><colgroup id="TBL-499-1g"><col
-id="TBL-499-1"><col
-id="TBL-499-2"></colgroup><tr
- valign="baseline" id="TBL-499-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-499-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-590.svg" width="153.01402 " height="48.41037 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-499-1-2"
-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;(-2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetshapeinnerxsep{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World}{}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 308--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox292"><span
-class="cmtt-10">\pgfsetshapeinnerysep</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266006"></a>
- <!--l. 309--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetshapeinnerysep</span></span></span>. </dd></dl>
-<!--l. 314--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox293"><span
-class="cmtt-10">\pgfsetshapeouterxsep</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266007"></a>
- <!--l. 315--><p class="noindent">This command sets the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeouterxsep</span></span></span> to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. This dimension is the
- recommended horizontal outer separation between the background path and the &#8220;outer anchors.&#8221; For
- example, if <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1cm</span></span></span> then the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">east</span></span></span> anchor will be 1cm to the right of the right border of the
- background path.
- <!--l. 322--><p class="noindent">As before, this value is just a recommendation.
- <!--l. 324--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-500-" ><colgroup id="TBL-500-1g"><col
-id="TBL-500-1"><col
-id="TBL-500-2"></colgroup><tr
- valign="baseline" id="TBL-500-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-500-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-591.svg" width="153.01402 " height="51.07703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-500-1-2"
-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;(-2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetshapeouterxsep{.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World}{x}{\pgfusepath{stroke}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{north}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{south}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{east}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{west}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{north</span><span
-class="cmtt-8">&nbsp;east}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 341--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox294"><span
-class="cmtt-10">\pgfsetshapeouterysep</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266008"></a>
- <!--l. 342--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetshapeouterysep</span></span></span>. </dd></dl>
-<!--l. 346--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.3 </span> <a
- id="x26-26700025.3"></a>Using Anchors</h4>
-<!--l. 348--><p class="noindent">Each shape defines a set of anchors. We saw already that the anchors are used when the shape is drawn: the shape is
-placed in such a way that the given anchor is at the origin (which in turn is typically translated somewhere
-else).
-<!--l. 353--><p class="indent"> One has to look up the set of anchors of each shape, there is no &#8220;default&#8221; set of anchors, except for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span>
-anchor, which should always be present. Also, most shapes will declare anchors like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">east</span></span></span>, but this is not
-guaranteed.
-<!--l. 358--><p class="indent"> Once a node has been defined, you can refer to its anchors using the following commands:
-<!--l. 361--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox295"><span
-class="cmtt-10">\pgfpointanchor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-267001"></a>
- <!--l. 362--><p class="noindent">This command is another &#8220;point command&#8221; like the commands described in Section&nbsp;<a
-href="pgfmanualse20.html#x21-20400020">20<!--tex4ht:ref: section-points --></a>. It returns the
- coordinate of the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>in the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node</span><span
-class="cmsy-10">&gt;</span>. The command can be used in commands like
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span>.
-
-
- <!--l. 367--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-501-" ><colgroup id="TBL-501-1g"><col
-id="TBL-501-1"><col
-id="TBL-501-2"></colgroup><tr
- valign="baseline" id="TBL-501-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-501-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-592.svg" width="82.16544 " height="61.71054 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-501-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World!}{x}{\pgfusepath{stroke}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{north}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{south}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{east}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{west}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{north</span><span
-class="cmtt-8">&nbsp;east}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 381--><p class="noindent">In the above example, you may have noticed something curious: The rotation transformation is still in force
- when the anchors are invoked, but it does not seem to have an effect. You might expect that the rotation
- should apply to the already rotated points once more.
- <!--l. 387--><p class="noindent">However, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointanchor</span></span></span> returns a point that takes the current transformation matrix into account: <span
-class="cmti-10">The</span>
- <span
-class="cmti-10">inverse transformation to the current coordinate transformation is applied to an anchor point before returning</span>
- <span
-class="cmti-10">it.</span>
- <!--l. 392--><p class="noindent">This behavior may seem a bit strange, but you will find it very natural in most cases. If you really want to
- apply a transformation to an anchor point (for example, to &#8220;shift it away&#8221; a little bit), you have to invoke
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointanchor</span></span></span> without any transformations in force. Here is an example:
- <!--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-502-" ><colgroup id="TBL-502-1g"><col
-id="TBL-502-1"><col
-id="TBL-502-2"></colgroup><tr
- valign="baseline" id="TBL-502-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-502-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-593.svg" width="82.16544 " height="68.8413 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-502-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World!}{x}{\pgfusepath{stroke}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\pgftransformreset</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;\pgfpointanchor{x}{east}</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;\xdef\mycoordinate{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\mycoordinate}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 416--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox296"><span
-class="cmtt-10">\pgfpointshapeborder</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-267002"></a>
- <!--l. 417--><p class="noindent">This command returns the point on the border of the shape that lies on a straight line from the center
- of the node to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>. For complex shapes it is not guaranteed that this point will actually lie on the
- border, it may be on the border of a &#8220;simplified&#8221; version of the shape.
-
-
- <!--l. 423--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-503-" ><colgroup id="TBL-503-1g"><col
-id="TBL-503-1"><col
-id="TBL-503-2"></colgroup><tr
- valign="baseline" id="TBL-503-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-503-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-594.svg" width="120.14386 " height="70.38521 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-503-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfscope}</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;\pgftransformrotate{30}</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;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World!}{x}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointshapeborder{x}{\pgfpoint{2cm}{1cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{2cm}{1cm}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointshapeborder{x}{\pgfpoint{-1cm}{1cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{-1cm}{1cm}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 440--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.4 </span> <a
- id="x26-26800025.4"></a>Declaring New Shapes</h4>
-<!--l. 442--><p class="noindent">Defining a shape is, unfortunately, a not-quite-trivial process. The reason is that shapes need to be both very
-flexible (their size will vary greatly according to circumstances) and they need to be constructed reasonably &#8220;fast.&#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;must be able to handle pictures with several hundreds of nodes and documents with thousands of nodes in
-total. It would not do if <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;had to compute and store, say, dozens of anchor positions for every
-node.
-<!--l. 451--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.4.1 </span> <a
- id="x26-26900025.4.1"></a>What Must Be Defined For a Shape?</h5>
-<!--l. 453--><p class="noindent">In order to define a new shape, you must provide:
- <ul class="itemize1">
- <li class="itemize">a <span
-class="cmti-10">shape name</span>,
- </li>
- <li class="itemize">code for computing the <span
-class="cmti-10">saved anchors </span>and <span
-class="cmti-10">saved dimensions</span>,
- </li>
- <li class="itemize">code for computing <span
-class="cmti-10">anchor </span>positions in terms of the saved anchors,
- </li>
- <li class="itemize">optionally code for the <span
-class="cmti-10">background path </span>and <span
-class="cmti-10">foreground path</span>,
- </li>
- <li class="itemize">optionally code for <span
-class="cmti-10">things to be drawn before or behind </span>the background and foreground paths.
- </li>
- <li class="itemize">optionally a list of node parts.</li></ul>
-<!--l. 472--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.4.2 </span> <a
- id="x26-27000025.4.2"></a>Normal Anchors Versus Saved Anchors</h5>
-<!--l. 474--><p class="noindent">Anchors are special places in shape. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor, which is a normal anchor, lies at the
-upper right corner of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape, as does <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\northeast</span></span></span>, which is a saved anchor. The difference is the
-following: <span
-class="cmti-10">saved anchors are computed and stored for each node, anchors are only computed as needed. </span>The user only
-has access to the normal anchors, but a normal anchor can just &#8220;copy&#8221; or &#8220;pass through&#8221; the location of a saved
-anchor.
-
-
-<!--l. 483--><p class="indent"> The idea behind all this is that a shape can declare a very large number of normal anchors, but when a node of
-this shape is created, these anchors are not actually computed. However, this causes a problem: When we wish to
-reference an anchor of a node at some later time, we must still able to compute the position of the anchor. For this,
-we may need a lot of information: What was the transformation matrix that was in force when the node was
-created? What was the size of the text box? What were the values of the different separation dimensions? And so
-on.
-<!--l. 493--><p class="indent"> To solve this problem, <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 always compute the locations of all <span
-class="cmti-10">saved anchors </span>and store these positions.
-Then, when an normal anchor position is requested later on, the anchor position can be given just from knowing
-where the locations of the saved anchors.
-<!--l. 498--><p class="indent"> As an example, consider the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape. For this shape two anchors are saved: The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\northeast</span></span></span> corner
-and the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\southwest</span></span></span> corner. A normal anchor like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;west</span></span></span> can now easily be expressed in terms of these
-coordinates: Take the <span
-class="cmmi-10">x</span>-position of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\southwest</span></span></span> point and the <span
-class="cmmi-10">y</span>-position of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\northeast</span></span></span> point. The
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape currently defines 13 normal anchors, but needs only two saved anchors. Adding new anchors
-like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;south</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor would not increase the memory and computation requirements of
-pictures.
-<!--l. 508--><p class="indent"> All anchors (both saved and normal) are specified in a local <span
-class="cmti-10">shape coordinate space</span>. This is also true for the
-background and foreground paths. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> macro will automatically apply appropriate transformations to the
-coordinates so that the shape is shifted to the right anchor or otherwise transformed.
-<!--l. 515--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.4.3 </span> <a
- id="x26-27100025.4.3"></a>Command for Declaring New Shapes</h5>
-<!--l. 517--><p class="noindent">The following command declares a new shape:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox297"><span
-class="cmtt-10">\pgfdeclareshape</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271001"></a>
- <!--l. 520--><p class="noindent">This command declares a new shape named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape name</span><span
-class="cmsy-10">&gt;</span>. The shape name can later be used in
- commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span>.
- <!--l. 523--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape specification</span><span
-class="cmsy-10">&gt; </span>is some <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;code containing calls to special commands that are only defined
- inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape specification</span><span
-class="cmsy-10">&gt; </span>(similarly to commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> that are only available inside the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment).
- <!--l. 528--><p class="noindent"><span
-class="cmti-10">Example: </span>Here is the code of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> shape:
- <!--l. 529--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-504-" ><colgroup id="TBL-504-1g"><col
-id="TBL-504-1"></colgroup><tr
- valign="baseline" id="TBL-504-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-504-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareshape{coordinate}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\savedanchor\centerpoint{</span><span
-class="cmsltt-10x-x-80">%</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;\pgf@x=.5\wd\pgfnodeparttextbox</span><span
-class="cmsltt-10x-x-80">%</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;\pgf@y=.5\ht\pgfnodeparttextbox</span><span
-class="cmsltt-10x-x-80">%</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;\advance\pgf@y</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;-.5\dp\pgfnodeparttextbox</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\anchor{center}{\centerpoint}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\anchorborder{\centerpoint}</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 542--><p class="noindent">The special commands are explained next. In the examples given for the special commands a new shape will
- be constructed, which we might call <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span>. It should behave like the normal rectangle shape,
- only without bothering about the fine details like inner and outer separations. The skeleton for the shape is
- the following.
- <!--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-505-" ><colgroup id="TBL-505-1g"><col
-id="TBL-505-1"></colgroup><tr
- valign="baseline" id="TBL-505-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-505-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareshape{simple</span><span
-class="cmtt-8">&nbsp;rectangle}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;...</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 553--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox298"><span
-class="cmtt-10">\nodeparts</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list of node parts</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271002"></a>
-
-
- <!--l. 554--><p class="noindent">This command declares which parts make up nodes of this shape. A <span
-class="cmti-10">node part </span>is a (possibly
- empty) text label that is drawn when a node of the shape is created.
- <!--l. 558--><p class="noindent">By default, a shape has just one node part called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span>. However, there can be several node parts.
- For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;output</span></span></span> shape has two parts: the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> part, which shows that
- state&#8217;s name, and an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span> part, which shows the output produced when the state is reached.
- For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;output</span></span></span> shape the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nodeparts</span></span></span> command was called with the argument
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{text,output}</span></span></span>.
- <!--l. 566--><p class="noindent">When a multipart node is created, the text labels are drawn in the sequences listed in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span>
- <span
-class="cmti-10">of node parts</span><span
-class="cmsy-10">&gt;</span>. For each node part there you must have declared one anchor and the <span class="TEX">T<span
-class="E">E</span>X</span>-box of
- the part is placed at this anchor. For a node part called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">XYZ</span></span></span> the <span class="TEX">T<span
-class="E">E</span>X</span>-box <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodepartXYZbox</span></span></span>
- is placed at anchor <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">XYZ</span></span></span>. </dd></dl>
- <!--l. 573--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox299"><span
-class="cmtt-10">\savedanchor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271003"></a>
- <!--l. 574--><p class="noindent">This command declares a saved anchor. The argument <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>should be a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;macro name
- like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\centerpoint</span></span></span>.
- <!--l. 577--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be executed each time <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> (or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span>) is called to create a
- node of the shape <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape name</span><span
-class="cmsy-10">&gt;</span>. When the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed, the <span class="TEX">T<span
-class="E">E</span>X</span>-boxes of the node parts
- will contain the text labels of the node. Possibly, these box are void. For example, if there is just
- a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> part, the node <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodeparttextbox</span></span></span> will be setup when the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed.
- <!--l. 586--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>can use the width, height, and depth of the box(es) to compute the location of
- the saved anchor. In addition, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>can take into account the values of dimensions like
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeinnerxsep</span></span></span>. Furthermore, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>can take into consideration
- the values of any further shape-specific variables that are set at the moment when <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> is
- called.
- <!--l. 594--><p class="noindent">The net effect of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>should be to set the two <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span>. One
- way to achieve this is to say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x value</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">y value</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> at the end of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>, but you
- can also just set these variables. The values that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> have after the code has been
- executed, let us call them <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">y</span>, will be recorded and stored together with the node that is
- created by the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span>.
- <!--l. 603--><p class="noindent">The macro <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>is defined to be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{</span></span></span><span
-class="cmmi-10">x</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}{</span></span></span><span
-class="cmmi-10">y</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>. However, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>is only locally
- defined while anchor positions are being computed. Thus, it is possible to use very simple names
- for <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt;</span>, like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\center</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\a</span></span></span>, without causing a name-clash. (To be precise, very simple
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>names will clash with existing names, but only locally inside the computation of
- anchor positions; and we do not need the normal <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\center</span></span></span> command during these computations.)
- <!--l. 613--><p class="noindent">For our <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> shape, we will need only one saved anchor: The upper right corner. The lower
- left corner could either be the origin or the &#8220;mirrored&#8221; upper right corner, depending on whether we want
- the text label to have its lower left corner at the origin or whether the text label should be centered on
- the origin. Either will be fine, for the final shape this will make no difference since the shape will be
- shifted anyway. So, let us assume that the text label is centered on the origin (this will be
- specified later on using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor). We get the following code for the upper right
- corner:
- <!--l. 623--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-506-" ><colgroup id="TBL-506-1g"><col
-id="TBL-506-1"></colgroup><tr
- valign="baseline" id="TBL-506-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-506-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\savedanchor{\upperrightcorner}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@y=.5\ht\pgfnodeparttextbox</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;height</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;box,</span><span
-class="cmsltt-10x-x-80">&nbsp;ignoring</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;depth</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=.5\wd\pgfnodeparttextbox</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;width</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 630--><p class="noindent">If we wanted to take, say, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span> into account, we could use the following
- code:
-
-
- <!--l. 633--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-507-" ><colgroup id="TBL-507-1g"><col
-id="TBL-507-1"></colgroup><tr
- valign="baseline" id="TBL-507-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-507-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\savedanchor{\upperrightcorner}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@y=.\ht\pgfnodeparttextbox</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;height</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=.\wd\pgfnodeparttextbox</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;width</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\setlength{\pgf@xa}{\pgfshapeminwidth}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\ifdim\pgf@x&lt;.5\pgf@xa</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;\pgf@x=.5\pgf@xa</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fi</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 643--><p class="noindent">Note that we could not have written <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.5\pgfshapeminwidth</span></span></span> since the minium width is stored in a &#8220;plain
- text macro,&#8221; not as a real dimension. So if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span> depth were 2cm, writing
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.5\pgfshapeminwidth</span></span></span> would yield the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.52cm</span></span></span>.
- <!--l. 648--><p class="noindent">In the &#8220;real&#8221; <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape the code is somewhat more complex, but you get the basic idea.
- </dd></dl>
- <!--l. 651--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox300"><span
-class="cmtt-10">\saveddimen</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271004"></a>
- <!--l. 652--><p class="noindent">This command is similar to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\savedanchor</span></span></span>, only instead of setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>to
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{</span></span></span><span
-class="cmmi-10">x</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}{</span></span></span><span
-class="cmmi-10">y</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>is set just to (the value of) <span
-class="cmmi-10">x</span>.
- <!--l. 656--><p class="noindent">In the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> shape we might use a saved dimension to store the depth of the shape
- box.
- <!--l. 659--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-508-" ><colgroup id="TBL-508-1g"><col
-id="TBL-508-1"></colgroup><tr
- valign="baseline" id="TBL-508-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-508-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\shapedimen{\depth}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=\dp\pgfnodeparttextbox</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
- <!--l. 665--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox301"><span
-class="cmtt-10">\anchor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271005"></a>
- <!--l. 666--><p class="noindent">This command declares an anchor named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>. Unlike for saved anchors, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will not
- be executed each time a node is declared. Rather, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is only executed when the anchor
- is specifically requested; either for anchoring the node during its creation or as a position in the
- shape referenced later on.
- <!--l. 672--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>is a quite arbitrary string that is not &#8220;passed down&#8221; to the system level. Thus, names
- like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">::</span></span></span> would all be fine.
- <!--l. 676--><p class="noindent">A saved anchor is not automatically also a normal anchor. If you wish to give the users access
- to a saved anchor you must declare a normal anchor that just returns the position of the saved
- anchor.
- <!--l. 680--><p class="noindent">When the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed, all saved anchor macros will be defined. Thus, you can reference
- them in your <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>. The effect of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>should be to set the values of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span>
- to the coordinates of the anchor.
- <!--l. 685--><p class="noindent">Let us consider some example for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> shape. First, we would like to make the
- upper right corner publicly available, for example as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span>:
- <!--l. 689--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-509-" ><colgroup id="TBL-509-1g"><col
-id="TBL-509-1"></colgroup><tr
- valign="baseline" id="TBL-509-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-509-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\anchor{north</span><span
-class="cmtt-8">&nbsp;east}{\upperrightcorner}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 693--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\upperrightcorner</span></span></span> macro will set <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> to the coordinates of the upper right
- corner. Thus, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> will have exactly the right values at the end of the anchor&#8217;s
- code.
- <!--l. 698--><p class="noindent">Next, let us define a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;west</span></span></span> anchor. For this anchor, we can negate the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> variable:
- <!--l. 701--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-510-" ><colgroup id="TBL-510-1g"><col
-id="TBL-510-1"></colgroup><tr
- valign="baseline" id="TBL-510-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-510-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\anchor{north</span><span
-class="cmtt-8">&nbsp;west}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\upperrightcorner</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=-\pgf@x</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 708--><p class="noindent">Finally, it is a good idea to always define a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span> anchor, which will be the default location for a
- shape.
- <!--l. 711--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-511-" ><colgroup id="TBL-511-1g"><col
-id="TBL-511-1"></colgroup><tr
- valign="baseline" id="TBL-511-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-511-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\anchor{center}{\pgfpointorigin}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 715--><p class="noindent">You might wonder whether we should not take into consideration that the node is not placed at the
- origin, but has been shifted somewhere. However, the anchor positions are always specified in the
- shape&#8217;s &#8220;private&#8221; coordinate system. The &#8220;outer&#8221; transformation that has been applied to the
- shape upon its creation is applied automatically to the coordinates returned by the anchor&#8217;s
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 723--><p class="noindent">Out <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> only has one text label (node part) called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span>. This is the default situation, so
- we need not do anything. For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> node part we must setup a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor. This anchor is used upon
- creation of a node to determine the lower left corner of the text label (within the private coordinate
- system of the shape). By default, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor is at the origin, but you may change this. For example,
- we would say
- <!--l. 730--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-512-" ><colgroup id="TBL-512-1g"><col
-id="TBL-512-1"></colgroup><tr
- valign="baseline" id="TBL-512-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-512-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\anchor{text}{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\upperrightcorner</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=-\pgf@x</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@y=-\pgf@y</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 737--><p class="noindent">to center the text label on the origin in the shape coordinate space. Note that we could <span
-class="cmti-10">not </span>have written
- the following:
- <!--l. 740--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-513-" ><colgroup id="TBL-513-1g"><col
-id="TBL-513-1"></colgroup><tr
- valign="baseline" id="TBL-513-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-513-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\anchor{text}{\pgfpoint{-.5\wd\pgfnodeparttextbox}{-.5\ht\pgfnodeparttextbox}}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 743--><p class="noindent">Do you see why this is wrong? The problem is that the box <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodeparttextbox</span></span></span> will most likely not
- have the correct size when the anchor is computed. After all, the anchor position might be recomputed at
- a time when several other nodes have been created.
- <!--l. 748--><p class="noindent">If a shape has several node parts, we would have to define an anchor for each part. </dd></dl>
- <!--l. 751--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox302"><span
-class="cmtt-10">\anchorborder</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271006"></a>
- <!--l. 752--><p class="noindent">A <span
-class="cmti-10">border anchor </span>is an anchor point on the border of the shape. What exactly is considered as the
- &#8220;border&#8221; of the shape depends on the shape.
- <!--l. 756--><p class="noindent">When the user request a point on the border of the shape using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointshapeborder</span></span></span>
- command, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be executed to discern this point. When the execution of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>
- starts, the dimensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> will have been set to a location <span
-class="cmmi-10">p </span>in the shape&#8217;s
- coordinate system. It is now the job of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>to setup <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> such that they
- specify the point on the shape&#8217;s border that lies on a straight line from the shape&#8217;s center to the
- point <span
-class="cmmi-10">p</span>. Usually, this is a somewhat complicated computation, involving many case distinctions
- and some basic math.
- <!--l. 767--><p class="noindent">For our <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> we must compute a point on the border of a rectangle whose one corner is the
- origin (ignoring the depth for simplicity) and whose other corner is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\upperrightcorner</span></span></span>. The following
- code might be used:
- <!--l. 771--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-514-" ><colgroup id="TBL-514-1g"><col
-id="TBL-514-1"></colgroup><tr
- valign="baseline" id="TBL-514-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-514-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\anchorborder{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><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;Call</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;function</span><span
-class="cmsltt-10x-x-80">&nbsp;that</span><span
-class="cmsltt-10x-x-80">&nbsp;computes</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;border</span><span
-class="cmsltt-10x-x-80">&nbsp;point.</span><span
-class="cmsltt-10x-x-80">&nbsp;Since</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span>
-<br><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;function</span><span
-class="cmsltt-10x-x-80">&nbsp;will</span><span
-class="cmsltt-10x-x-80">&nbsp;modify</span><span
-class="cmsltt-10x-x-80">&nbsp;dimensions</span><span
-class="cmsltt-10x-x-80">&nbsp;like</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@x,</span><span
-class="cmsltt-10x-x-80">&nbsp;we</span><span
-class="cmsltt-10x-x-80">&nbsp;must</span><span
-class="cmsltt-10x-x-80">&nbsp;move</span><span
-class="cmsltt-10x-x-80">&nbsp;them</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span>
-<br><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;other</span><span
-class="cmsltt-10x-x-80">&nbsp;dimensions.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\@tempdima=\pgf@x</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\@tempdimb=\pgf@y</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpointborderrectangle{\pgfpoint{\@tempdima}{\@tempdimb}}{\upperrightcorner}</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
- <!--l. 782--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox303"><span
-class="cmtt-10">\backgroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271007"></a>
- <!--l. 783--><p class="noindent">This command specifies the path that &#8220;makes up&#8221; the background of the shape. Note that the
- shape cannot prescribe what is going to happen with the path: It might be drawn, shaded, filled,
- or even thrown away. If you want to specify that something should &#8220;always&#8221; happen when this
- shape is drawn (for example, if the shape is a stop-sign, we <span
-class="cmti-10">always </span>want it to be filled with a red
- color), you can use commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\beforebackgroundpath</span></span></span>, explained below.
- <!--l. 792--><p class="noindent">When the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed, all saved anchors will be in effect. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>should contain path
- construction commands.
- <!--l. 796--><p class="noindent">For our <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span>, the following code might be used:
- <!--l. 797--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-515-" ><colgroup id="TBL-515-1g"><col
-id="TBL-515-1"></colgroup><tr
- valign="baseline" id="TBL-515-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-515-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\backgroundpath{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectanglecorners</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;{\upperrightcorner}</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;{\pgfpointscale{-1}{\upperrightcorner}}</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 804--><p class="noindent">As the name suggests, the background path is used &#8220;behind&#8221; the text labels. Thus, this path is used first,
- then the text labels are drawn, possibly obscuring part of the path. </dd></dl>
- <!--l. 808--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox304"><span
-class="cmtt-10">\foregroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271008"></a>
- <!--l. 809--><p class="noindent">This command works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\backgroundpath</span></span></span>, only it is invoked after the text labels have been
- drawn. This means that this path can possibly obscure (part of) the text labels. </dd></dl>
- <!--l. 813--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox305"><span
-class="cmtt-10">\behindbackgroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271009"></a>
- <!--l. 814--><p class="noindent">Unlike the previous two commands, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>should not only construct a path, it should also use
- this path in whatever way is appropriate. For example, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>might fill some area with a
- uniform color.
- <!--l. 819--><p class="noindent">Whatever the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>does, it does it first. This means that any drawing done by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be
- even behind the background path.
- <!--l. 823--><p class="noindent">Note that the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is protected with a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. </dd></dl>
- <!--l. 825--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox306"><span
-class="cmtt-10">\beforebackgroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271010"></a>
- <!--l. 826--><p class="noindent">This command works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\behindbackgroundpath</span></span></span>, only the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed after the
- background path has been used, but before the texts label are drawn. </dd></dl>
- <!--l. 830--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox307"><span
-class="cmtt-10">\behindforegroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271011"></a>
- <!--l. 831--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed after the text labels have been drawn, but before the foreground path is
- used. </dd></dl>
- <!--l. 834--><p class="noindent">
-
-
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox308"><span
-class="cmtt-10">\beforeforegroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271012"></a>
- <!--l. 835--><p class="noindent">This <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed at the very end. </dd></dl>
- <!--l. 837--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox309"><span
-class="cmtt-10">\inheritsavedanchors</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271013"></a>
- <!--l. 838--><p class="noindent">This command allows you to inherit the code for saved anchors from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. The
- idea is that if you wish to create a new shape that is just a small modification of a another shape,
- you can recycle the code used for <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 843--><p class="noindent">The effect of this command is the same as if you had called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\savedanchor</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\saveddimen</span></span></span> for
- each saved anchor or saved dimension declared in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. Thus, it is not possible
- to &#8220;selectively&#8221; inherit only some saved anchors, you always have to inherit all saved anchors from
- another shape. However, you can inherit the saved anchors of more than one shape by calling this
- command several times. </dd></dl>
- <!--l. 851--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox310"><span
-class="cmtt-10">\inheritbehindbackgroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271014"></a>
- <!--l. 852--><p class="noindent">This command can be used to inherit the code used for the drawings behind the background path
- from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 855--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox311"><span
-class="cmtt-10">\inheritbackgroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271015"></a>
- <!--l. 856--><p class="noindent">Inherits the background path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 858--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox312"><span
-class="cmtt-10">\inheritbeforebackgroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271016"></a>
- <!--l. 859--><p class="noindent">Inherits the before background path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 861--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox313"><span
-class="cmtt-10">\inheritbehindforegroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271017"></a>
- <!--l. 862--><p class="noindent">Inherits the behind foreground path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 864--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox314"><span
-class="cmtt-10">\inheritforegroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271018"></a>
- <!--l. 865--><p class="noindent">Inherits the foreground path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 867--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox315"><span
-class="cmtt-10">\inheritbeforeforegroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271019"></a>
- <!--l. 868--><p class="noindent">Inherits the before foreground path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
-
-
- <!--l. 870--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox316"><span
-class="cmtt-10">\inheritanchor</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</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">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271020"></a>
- <!--l. 871--><p class="noindent">Inherits the code of one specific anchor named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. Thus, unlike
- saved anchors, which must be inherited collectively, normal anchors can and must be inherited
- individually. </dd></dl>
- <!--l. 876--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox317"><span
-class="cmtt-10">\inheritanchorborder</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271021"></a>
- <!--l. 877--><p class="noindent">Inherits the border anchor code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 880--><p class="noindent">The following example shows how a shape can be defined that relies heavily on inheritance:
- <!--l. 883--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-516-" ><colgroup id="TBL-516-1g"><col
-id="TBL-516-1"><col
-id="TBL-516-2"></colgroup><tr
- valign="baseline" id="TBL-516-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-516-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-595.svg" width="100.43935 " height="143.38574 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-516-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareshape{document}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritsavedanchors[from=rectangle]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;nearly</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchorborder[from=rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{center}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{north}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{south}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{west}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{east}</span>
-<br><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;...</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;possibly</span><span
-class="cmsltt-10x-x-80">&nbsp;more</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\backgroundpath{</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;new</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;store</span><span
-class="cmsltt-10x-x-80">&nbsp;lower</span><span
-class="cmsltt-10x-x-80">&nbsp;right</span><span
-class="cmsltt-10x-x-80">&nbsp;in</span><span
-class="cmsltt-10x-x-80">&nbsp;xa/ya</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;upper</span><span
-class="cmsltt-10x-x-80">&nbsp;right</span><span
-class="cmsltt-10x-x-80">&nbsp;in</span><span
-class="cmsltt-10x-x-80">&nbsp;xb/yb</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;\southwest</span><span
-class="cmtt-8">&nbsp;\pgf@xa=\pgf@x</span><span
-class="cmtt-8">&nbsp;\pgf@ya=\pgf@y</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;\northeast</span><span
-class="cmtt-8">&nbsp;\pgf@xb=\pgf@x</span><span
-class="cmtt-8">&nbsp;\pgf@yb=\pgf@y</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;compute</span><span
-class="cmsltt-10x-x-80">&nbsp;corner</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;``flipped</span><span
-class="cmsltt-10x-x-80">&nbsp;page''</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;\pgf@xc=\pgf@xb</span><span
-class="cmtt-8">&nbsp;\advance\pgf@xc</span><span
-class="cmtt-8">&nbsp;by-5pt</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;should</span><span
-class="cmsltt-10x-x-80">&nbsp;be</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;parameter</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;\pgf@yc=\pgf@yb</span><span
-class="cmtt-8">&nbsp;\advance\pgf@yc</span><span
-class="cmtt-8">&nbsp;by-5pt</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;construct</span><span
-class="cmsltt-10x-x-80">&nbsp;main</span><span
-class="cmsltt-10x-x-80">&nbsp;path</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;\pgfpathmoveto{\pgfpoint{\pgf@xa}{\pgf@ya}}</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;\pgfpathlineto{\pgfpoint{\pgf@xa}{\pgf@yb}}</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;\pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yb}}</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;\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yc}}</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;\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@ya}}</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;\pgfpathclose</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="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;add</span><span
-class="cmsltt-10x-x-80">&nbsp;little</span><span
-class="cmsltt-10x-x-80">&nbsp;corner</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;\pgfpathmoveto{\pgfpoint{\pgf@xc}{\pgf@yb}}</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;\pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yc}}</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;\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yc}}</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;\pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yc}}</span>
-<br><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">}\hskip-1.2cm</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[shade,draw,shape=document,inner</span><span
-class="cmtt-8">&nbsp;sep=2ex]</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;{Remark};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[fill=examplefill,draw,ellipse,double]</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;at</span><span
-class="cmtt-8">&nbsp;([shift=(-80:3cm)]x)</span><span
-class="cmtt-8">&nbsp;(y)</span><span
-class="cmtt-8">&nbsp;{Use</span><span
-class="cmtt-8">&nbsp;Case};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[dashed]</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(y);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 928--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.5 </span> <a
- id="x26-27200025.5"></a>Predefined Shapes</h4>
-<!--l. 930--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox318">Shape <span
-class="cmtt-10">coordinate</span></span> </dt><dd
-class="description">
-<a
- id="dx26-272001"></a>
-<a
- id="dx26-272002"></a>
- <!--l. 931--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> is mainly intended to be used to store locations using the node mechanism. This
- shape does not have any background path and options like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> have no effect on it. Also, it does not
- have any node parts, so no text is drawn when this shape is used.
- <!--l. 936--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;handles this shape in a special way, see Section&nbsp;<a
-href="pgfmanualse11.html#x12-14600011.8">11.8<!--tex4ht:ref: section-tikz-coordinate-shape --></a>. </dd></dl>
-<!--l. 940--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox319">Shape <span
-class="cmtt-10">rectangle</span></span> </dt><dd
-class="description">
-<a
- id="dx26-272003"></a>
-<a
- id="dx26-272004"></a>
- <!--l. 941--><p class="noindent">This shape is a rectangle tightly fitting the text box. Use inner or outer separation to increase the distance
- between the text box and the border and the anchors. The following figure shows the anchors defined by this
- shape; the anchors <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">10</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">130</span></span></span> are example of border anchors.
- <!--l. 946--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-596.svg" width="521.3385 " height="195.84898 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-517-" ><colgroup id="TBL-517-1g"><col
-id="TBL-517-1"></colgroup><tr
- valign="baseline" id="TBL-517-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-517-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=rectangle,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{Rectangle\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</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;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</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;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</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;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</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;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</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;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</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;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</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;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(0,0)}</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;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 963--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox320">Shape <span
-class="cmtt-10">circle</span></span> </dt><dd
-class="description">
-<a
- id="dx26-272005"></a>
-<a
- id="dx26-272006"></a>
- <!--l. 964--><p class="noindent">This shape is a circle tightly fitting the text box.
-
-
- <!--l. 965--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-597.svg" width="481.16978 " height="366.7704 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-518-" ><colgroup id="TBL-518-1g"><col
-id="TBL-518-1"></colgroup><tr
- valign="baseline" id="TBL-518-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-518-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=circle,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{Circle\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</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;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</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;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</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;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</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;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</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;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</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;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</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;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(0,0)}</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;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse26.html" >next</a>] [<a
-href="pgfmanualse24.html" >prev</a>] [<a
-href="pgfmanualse24.html#tailpgfmanualse24.html" >prev-tail</a>] [<a
-href="pgfmanualse25.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse25.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse25.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse26.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse26.html
deleted file mode 100644
index 87d50d60038..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse26.html
+++ /dev/null
@@ -1,1706 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>26 Coordinate and Canvas Transformations</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse27.html" >next</a>] [<a
-href="pgfmanualse25.html" >prev</a>] [<a
-href="pgfmanualse25.html#tailpgfmanualse25.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse26.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse26.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">26 </span> <a
- id="x27-27300026"></a>Coordinate and Canvas Transformations</h3>
-<!--l. 10--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">26.1 </span> <a
- id="x27-27400026.1"></a>Overview</h4>
-<!--l. 12--><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 two different ways of scaling, shifting, and rotating (these operations are generally known as
-<span
-class="cmti-10">transformations</span>) graphics: You can apply <span
-class="cmti-10">coordinate transformations </span>to all coordinates and you can apply <span
-class="cmti-10">canvas</span>
-<span
-class="cmti-10">transformations </span>to the canvas on which you draw. (The names &#8220;coordinate&#8221; and &#8220;canvas&#8221; transformations are not
-standard, I introduce them only for the purposes of this manual.)
-<!--l. 20--><p class="indent"> The difference is the following:
- <ul class="itemize1">
- <li class="itemize">As the name &#8220;coordinate transformation&#8221; suggests, coordinate transformations apply only to
- coordinates. For example, when you specify a coordinate like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{1cm}{2cm}</span></span></span> and you wish
- to &#8220;use&#8221; this coordinate--for example as an argument to a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span> command--then the
- coordinate transformation matrix is applied to the coordinate, resulting in a new coordinate. Continuing
- the example, if the current coordinate transformation is &#8220;scale by a factor of two,&#8221; the coordinate
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{1cm}{2cm}</span></span></span> actually designates the point (2cm<span
-class="cmmi-10">,</span>4cm).
- <!--l. 35--><p class="noindent">Note that coordinate transformations apply <span
-class="cmti-10">only </span>to coordinates. They do not apply to, say, line width
- or shadings or text.
- </li>
- <li class="itemize">The effect of a &#8220;canvas transformation&#8221; like &#8220;scale by a factor of two&#8221; can be imagined as follows: You
- first draw your picture on a &#8220;rubber canvas&#8221; normally. Then, once you are done, the whole canvas is
- transformed, in this case stretched by a factor of two. In the resulting image <span
-class="cmti-10">everything </span>will be larger:
- Text, lines, coordinates, and shadings.</li></ul>
-<!--l. 47--><p class="indent"> In many cases, it is preferable that you use coordinate transformations and not canvas transformations. When
-canvas transformations are used, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;looses track of the coordinates of nodes and shapes. Also, canvas
-transformations often cause undesirable effects like changing text size. 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;makes it easy to setup
-the coordinate transformation, but a bit harder to change the canvas transformation.
-<!--l. 56--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">26.2 </span> <a
- id="x27-27500026.2"></a>Coordinate Transformations</h4>
-<!--l. 59--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">26.2.1 </span> <a
- id="x27-27600026.2.1"></a>How PGF Keeps Track of the Coordinate Transformation Matrix</h5>
-<!--l. 61--><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;has an internal coordinate transformation matrix. This matrix is applied to coordinates &#8220;in certain situations.&#8221;
-This means that the matrix is not always applied to every coordinate &#8220;no matter what.&#8221; Rather,
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;tries to be reasonably smart at when and how this matrix should be applied. The most prominent
-examples are the path construction commands, which apply the coordinate transformation matrix to their
-inputs.
-<!--l. 69--><p class="indent"> The coordinate transformation matrix consists of four numbers <span
-class="cmmi-10">a</span>, <span
-class="cmmi-10">b</span>, <span
-class="cmmi-10">c</span>, and <span
-class="cmmi-10">d</span>, and two dimensions <span
-class="cmmi-10">s </span>and <span
-class="cmmi-10">t</span>. When
-the coordinate transformation matrix is applied to a coordinate (<span
-class="cmmi-10">x,y</span>) the new coordinate (<span
-class="cmmi-10">ax </span>+ <span
-class="cmmi-10">by </span>+ <span
-class="cmmi-10">s,cx </span>+ <span
-class="cmmi-10">dy </span>+ <span
-class="cmmi-10">t</span>)
-results. For more details on how transformation matrices work in general, please see, for example, the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>or
-PostScript reference or a textbook on computer graphics.
-<!--l. 77--><p class="indent"> The coordinate transformation matrix is equal to the identity matrix at the beginning. More precisely, <span
-class="cmmi-10">a </span>= 1,
-<span
-class="cmmi-10">b </span>= 0, <span
-class="cmmi-10">c </span>= 0, <span
-class="cmmi-10">d </span>= 1, <span
-class="cmmi-10">s </span>= 0pt, and <span
-class="cmmi-10">t </span>= 0pt.
-
-
-<!--l. 81--><p class="indent"> The different coordinate transformation commands will modify the matrix by concatenating it with
-another transformation matrix. This way the effect of applying several transformation commands will
-<span
-class="cmti-10">accumulate</span>.
-<!--l. 86--><p class="indent"> The coordinate transformation matrix is local to the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group (unlike the canvas transformation
-matrix, which is local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>). Thus, the effect of adding a coordinate transformation to the
-coordinate transformation matrix will last only till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group.
-<!--l. 95--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">26.2.2 </span> <a
- id="x27-27700026.2.2"></a>Commands for Relative Coordinate Transformations</h5>
-<!--l. 97--><p class="noindent">The following commands add a basic coordinate transformation to the current coordinate transformation matrix.
-For all commands, the transformation is applied <span
-class="cmti-10">in addition </span>to any previous coordinate transformations.
-<!--l. 102--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox321"><span
-class="cmtt-10">\pgftransformshift</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277001"></a>
- <!--l. 103--><p class="noindent">Shifts coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 104--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-519-" ><colgroup id="TBL-519-1g"><col
-id="TBL-519-1"><col
-id="TBL-519-2"></colgroup><tr
- valign="baseline" id="TBL-519-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-519-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-598.svg" width="115.34386 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-519-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformshift{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 114--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox322"><span
-class="cmtt-10">\pgftransformxshift</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimensions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277002"></a>
- <!--l. 115--><p class="noindent">Shifts coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>along the <span
-class="cmmi-10">x</span>-axis.
- <!--l. 116--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-520-" ><colgroup id="TBL-520-1g"><col
-id="TBL-520-1"><col
-id="TBL-520-2"></colgroup><tr
- valign="baseline" id="TBL-520-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-520-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-599.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-520-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxshift{.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 126--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox323"><span
-class="cmtt-10">\pgftransformyshift</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimensions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277003"></a>
- <!--l. 127--><p class="noindent">Like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransformxshift</span></span></span>, only for the <span
-class="cmmi-10">y</span>-axis. </dd></dl>
-<!--l. 130--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox324"><span
-class="cmtt-10">\pgftransformscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277004"></a>
- <!--l. 131--><p class="noindent">Scales coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 132--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-521-" ><colgroup id="TBL-521-1g"><col
-id="TBL-521-1"><col
-id="TBL-521-2"></colgroup><tr
- valign="baseline" id="TBL-521-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-521-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-600.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-521-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{.75}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 142--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox325"><span
-class="cmtt-10">\pgftransformxscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277005"></a>
- <!--l. 143--><p class="noindent">Scales coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>in the <span
-class="cmmi-10">x</span>-direction.
- <!--l. 144--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-522-" ><colgroup id="TBL-522-1g"><col
-id="TBL-522-1"><col
-id="TBL-522-2"></colgroup><tr
- valign="baseline" id="TBL-522-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-522-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-601.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-522-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxscale{.75}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 155--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox326"><span
-class="cmtt-10">\pgftransformyscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277006"></a>
- <!--l. 156--><p class="noindent">Like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransformxscale</span></span></span>, only for the <span
-class="cmmi-10">y</span>-axis. </dd></dl>
-<!--l. 160--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox327"><span
-class="cmtt-10">\pgftransformxslant</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277007"></a>
- <!--l. 161--><p class="noindent">Slants coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>in the <span
-class="cmmi-10">x</span>-direction. Here, a factor of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span> means 45<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- <!--l. 163--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-523-" ><colgroup id="TBL-523-1g"><col
-id="TBL-523-1"><col
-id="TBL-523-2"></colgroup><tr
- valign="baseline" id="TBL-523-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-523-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-602.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-523-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxslant{.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 174--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox328"><span
-class="cmtt-10">\pgftransformyslant</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277008"></a>
- <!--l. 175--><p class="noindent">Slants coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>in the <span
-class="cmmi-10">y</span>-direction.
- <!--l. 176--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-524-" ><colgroup id="TBL-524-1g"><col
-id="TBL-524-1"><col
-id="TBL-524-2"></colgroup><tr
- valign="baseline" id="TBL-524-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-524-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-603.svg" width="115.21051 " height="115.21051 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-524-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformyslant{-1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 188--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox329"><span
-class="cmtt-10">\pgftransformrotate</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degrees</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277009"></a>
- <!--l. 189--><p class="noindent">Rotates coordinates counterclockwise by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degrees</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 190--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-525-" ><colgroup id="TBL-525-1g"><col
-id="TBL-525-1"><col
-id="TBL-525-2"></colgroup><tr
- valign="baseline" id="TBL-525-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-525-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-604.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-525-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 201--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox330"><span
-class="cmtt-10">\pgftransformcm</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">b</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">c</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277010"></a>
- <!--l. 202--><p class="noindent">Applies the transformation matrix given by <span
-class="cmmi-10">a</span>, <span
-class="cmmi-10">b</span>, <span
-class="cmmi-10">c</span>, and <span
-class="cmmi-10">d </span>and the shift <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>to coordinates (in addition to
- any previous transformations already in force).
-
-
- <!--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-526-" ><colgroup id="TBL-526-1g"><col
-id="TBL-526-1"><col
-id="TBL-526-2"></colgroup><tr
- valign="baseline" id="TBL-526-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-526-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-605.svg" width="115.21051 " height="124.82805 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-526-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformcm{1}{1}{0}{1}{\pgfpoint{.25cm}{.25cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 216--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox331"><span
-class="cmtt-10">\pgftransformarrow</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277011"></a>
- <!--l. 217--><p class="noindent">Shift coordinates to the end of the line going from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt; </span>to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt; </span>with the correct rotation.
- <!--l. 219--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-527-" ><colgroup id="TBL-527-1g"><col
-id="TBL-527-1"><col
-id="TBL-527-2"></colgroup><tr
- valign="baseline" id="TBL-527-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-527-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-606.svg" width="122.99335 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-527-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformarrow{\pgfpointorigin}{\pgfpoint{3cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{tip}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 230--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox332"><span
-class="cmtt-10">\pgftransformlineattime</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">time</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277012"></a>
- <!--l. 231--><p class="noindent">Shifts coordinates by a specific point on a line at a specific time. The point by which the coordinate is
- shifted is calculated by calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointlineattime</span></span></span>, see Section&nbsp;<a
-href="pgfmanualse20.html#x21-21000020.4.2">20.4.2<!--tex4ht:ref: section-pointsattime --></a>.
- <!--l. 236--><p class="noindent">In addition to shifting the coordinate, a rotation <span
-class="cmti-10">may </span>also be applied. Whether this is the case depends on
- whether the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfslopedattime</span></span></span> is set to true or not.
- <!--l. 239--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-528-" ><colgroup id="TBL-528-1g"><col
-id="TBL-528-1"><col
-id="TBL-528-2"></colgroup><tr
- valign="baseline" id="TBL-528-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-528-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-607.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-528-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 247--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-529-" ><colgroup id="TBL-529-1g"><col
-id="TBL-529-1"><col
-id="TBL-529-2"></colgroup><tr
- valign="baseline" id="TBL-529-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-529-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-608.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-529-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfslopedattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 257--><p class="noindent">There is another <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;if that influences this command. If you set <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfresetnontranslationattime</span></span></span> to
- true, then, between shifting the coordinate and (possibly) rotating/sloping the coordinate, the
- command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransformresetnontranslations</span></span></span> is called. See the description of this command for
- details.
- <!--l. 262--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-530-" ><colgroup id="TBL-530-1g"><col
-id="TBL-530-1"><col
-id="TBL-530-2"></colgroup><tr
- valign="baseline" id="TBL-530-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-530-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-609.svg" width="115.34386 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-530-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{1.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfslopedattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfresetnontranslationattimefalse</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 273--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-531-" ><colgroup id="TBL-531-1g"><col
-id="TBL-531-1"><col
-id="TBL-531-2"></colgroup><tr
- valign="baseline" id="TBL-531-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-531-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-610.svg" width="115.34386 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-531-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{1.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfslopedattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfresetnontranslationattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 288--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox333"><span
-class="cmtt-10">\pgftransformcurveattime</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">time</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first support</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second support</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277013"></a>
- <!--l. 289--><p class="noindent">Shifts coordinates by a specific point on a curve at a specific time, see Section&nbsp;<a
-href="pgfmanualse20.html#x21-21000020.4.2">20.4.2<!--tex4ht:ref: section-pointsattime --></a> once more.
- <!--l. 292--><p class="noindent">As for the line-at-time transformation command, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfslopedattime</span></span></span> decides whether an additional rotation
- should be applied.
-
-
- <!--l. 294--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-532-" ><colgroup id="TBL-532-1g"><col
-id="TBL-532-1"><col
-id="TBL-532-2"></colgroup><tr
- valign="baseline" id="TBL-532-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-532-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-611.svg" width="117.12717 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-532-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformcurveattime{.25}{\pgfpointorigin}</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;{\pgfpoint{0cm}{2cm}}{\pgfpoint{1cm}{2cm}}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 303--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-533-" ><colgroup id="TBL-533-1g"><col
-id="TBL-533-1"><col
-id="TBL-533-2"></colgroup><tr
- valign="baseline" id="TBL-533-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-533-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-612.svg" width="116.02284 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-533-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfslopedattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformcurveattime{.25}{\pgfpointorigin}</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;{\pgfpoint{0cm}{2cm}}{\pgfpoint{1cm}{2cm}}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 313--><p class="noindent">The value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfresetnontranslationsattime</span></span></span> is also taken into account. </dd></dl>
-<!--l. 319--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox334"><span
-class="cmtt-10">\ifpgfslopedattime</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277014"></a>
- <!--l. 320--><p class="noindent">Decides whether the &#8220;at time&#8221; transformation commands also rotate coordinates or not. </dd></dl>
-<!--l. 326--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox335"><span
-class="cmtt-10">\ifpgfresetnontranslationsattime</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277015"></a>
- <!--l. 327--><p class="noindent">Decides whether the &#8220;at time&#8221; transformation commands should reset the non-translations between
- shifting and rotating. </dd></dl>
-<!--l. 333--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">26.2.3 </span> <a
- id="x27-27800026.2.3"></a>Commands for Absolute Coordinate Transformations</h5>
-<!--l. 335--><p class="noindent">The coordinate transformation commands introduced up to now are always applied in addition to
-any previous transformations. In contrast, the commands presented in the following can be used to
-change the transformation matrix &#8220;absolutely.&#8221; Note that this is, in general, dangerous and will often
-produce unexpected effects. You should use these commands only if you really know what you are
-doing.
-<!--l. 342--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox336"><span
-class="cmtt-10">\pgftransformreset</span></span> </dt><dd
-class="description">
-<a
- id="dx27-278001"></a>
- <!--l. 343--><p class="noindent">Resets the coordinate transformation matrix to the identity matrix. Thus, once this command is given no
- transformations are applied till the end of the scope.
-
-
- <!--l. 346--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-534-" ><colgroup id="TBL-534-1g"><col
-id="TBL-534-1"><col
-id="TBL-534-2"></colgroup><tr
- valign="baseline" id="TBL-534-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-534-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-613.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-534-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformreset</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 358--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox337"><span
-class="cmtt-10">\pgftransformresetnontranslations</span></span> </dt><dd
-class="description">
-<a
- id="dx27-278002"></a>
- <!--l. 359--><p class="noindent">This command sets the <span
-class="cmmi-10">a</span>, <span
-class="cmmi-10">b</span>, <span
-class="cmmi-10">c</span>, and <span
-class="cmmi-10">d </span>part of the coordinate transformation matrix to <span
-class="cmmi-10">a </span>= 1, <span
-class="cmmi-10">b </span>= 0,
- <span
-class="cmmi-10">c </span>= 0, and <span
-class="cmmi-10">d </span>= 1. However, the current shifting of the matrix is not modified.
- <!--l. 363--><p class="noindent">The effect of this command is that any rotation/scaling/slanting is undone in the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group,
- but the origin is not &#8220;moved back.&#8221;
- <!--l. 367--><p class="noindent">This command is mostly useful directly before a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command to ensure that the text is not scaled or
- rotated.
- <!--l. 369--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-535-" ><colgroup id="TBL-535-1g"><col
-id="TBL-535-1"><col
-id="TBL-535-2"></colgroup><tr
- valign="baseline" id="TBL-535-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-535-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-614.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-535-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{2}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxshift{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\color{red}\pgftext{rotated}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformresetnontranslations</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{shifted</span><span
-class="cmtt-8">&nbsp;only}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 383--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox338"><span
-class="cmtt-10">\pgftransforminvert</span></span> </dt><dd
-class="description">
-<a
- id="dx27-278003"></a>
- <!--l. 384--><p class="noindent">Replaces the coordinate transformation matrix by a coordinate transformation matrix that &#8220;exactly
- undoes the original transformation.&#8221; For example, if the original transformation was &#8220;scale by 2 and
- then shift right by 1cm&#8221; the new one is &#8220;shift left by 1cm and then scale by 1<span
-class="cmmi-10">/</span>2.&#8221;
- <!--l. 390--><p class="noindent">This command will produce an error if the determinant of the matrix is too small, that is, if the matrix is
- near-singular.
-
-
- <!--l. 392--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-536-" ><colgroup id="TBL-536-1g"><col
-id="TBL-536-1"><col
-id="TBL-536-2"></colgroup><tr
- valign="baseline" id="TBL-536-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-536-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-615.svg" width="115.21051 " height="96.24208 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-536-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransforminvert</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 404--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">26.2.4 </span> <a
- id="x27-27900026.2.4"></a>Saving and Restoring the Coordinate Transformation Matrix</h5>
-<!--l. 406--><p class="noindent">There are two commands for saving and restoring coordinate transformation matrices.
-<!--l. 409--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox339"><span
-class="cmtt-10">\pgfgettransform</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-279001"></a>
- <!--l. 410--><p class="noindent">This command will (locally) define <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt; </span>to a representation of the current coordinate transformation
- matrix. This matrix can later on be reinstalled using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsettransform</span></span></span>. </dd></dl>
-<!--l. 416--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox340"><span
-class="cmtt-10">\pgfsettransform</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-279002"></a>
- <!--l. 417--><p class="noindent">Reinstalls a coordinate transformation matrix that was previously saved using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfgettransform</span></span></span>. </dd></dl>
-<!--l. 423--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">26.3 </span> <a
- id="x27-28000026.3"></a>Canvas Transformations</h4>
-<!--l. 425--><p class="noindent">The canvas transformation matrix is not managed by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, but by the output format like <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript. All the
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does is to call appropriate low-level <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands to change the canvas transformation
-matrix.
-<!--l. 430--><p class="indent"> Unlike coordinate transformations, canvas transformations apply to &#8220;everything,&#8221; including images, text,
-shadings, line thickness, and so on. The idea is that a canvas transformation really stretches and deforms the canvas
-after the graphic is finished.
-<!--l. 435--><p class="indent"> Unlike coordinate transformations, canvas transformations are local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>, not to the
-current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. This is due to the fact that they are managed by the backend driver, not by <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;or
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>.
-<!--l. 440--><p class="indent"> Unlike the coordinate transformation matrix, it is not possible to &#8220;reset&#8221; the canvas transformation matrix. The
-only way to change it is to concatenate it with another canvas transformation matrix or to end the current
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>.
-<!--l. 445--><p class="indent"> Unlike coordinate transformations, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does not &#8220;keep track&#8221; of canvas transformations. In particular, it
-will not be able to correctly save the coordinates of shapes or nodes when a canvas transformation is
-used.
-<!--l. 450--><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>&nbsp;does not offer a whole set of special commands for modifying the canvas transformation matrix. Instead,
-different commands allow you to concatenate the canvas transformation matrix with a coordinate transformation
-matrix (and there are numerous commands for specifying a coordinate transformation, see the previous
-section).
-<!--l. 456--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox341"><span
-class="cmtt-10">\pgflowlevelsynccm</span></span> </dt><dd
-class="description">
-<a
- id="dx27-280001"></a>
- <!--l. 457--><p class="noindent">This command concatenates the canvas transformation matrix with the current coordinate
- transformation matrix. Afterward, the coordinate transformation matrix is reset.
- <!--l. 461--><p class="noindent">The effect of this command is to &#8220;synchronize&#8221; the coordinate transformation matrix and the
- canvas transformation matrix. All transformations that were previously applied by the coordinate
- transformations matrix are now applied by the canvas transformation matrix.
- <!--l. 467--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-537-" ><colgroup id="TBL-537-1g"><col
-id="TBL-537-1"><col
-id="TBL-537-2"></colgroup><tr
- valign="baseline" id="TBL-537-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-537-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-616.svg" width="115.61052 " height="77.67368 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-537-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxshift{0.2cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgflowlevelsynccm</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 481--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox342"><span
-class="cmtt-10">\pgflowlevel</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-280002"></a>
- <!--l. 482--><p class="noindent">This command concatenates the canvas transformation matrix with the coordinate transformation
- specified by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 485--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-538-" ><colgroup id="TBL-538-1g"><col
-id="TBL-538-1"><col
-id="TBL-538-2"></colgroup><tr
- valign="baseline" id="TBL-538-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-538-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-617.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-538-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgflowlevel{\pgftransformscale{5}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 496--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox343"><span
-class="cmtt-10">\pgflowlevelobj</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-280003"></a>
- <!--l. 497--><p class="noindent">This command creates a local <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. Inside this scope, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevel</span></span></span> is first called with the
- argument <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span>, then the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is inserted.
-
-
- <!--l. 501--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-539-" ><colgroup id="TBL-539-1g"><col
-id="TBL-539-1"><col
-id="TBL-539-2"></colgroup><tr
- valign="baseline" id="TBL-539-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-539-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-618.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-539-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgflowlevelobj{\pgftransformscale{5}}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgflowlevelobj{\pgftransformxshift{-1cm}}{\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 512--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox344"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgflowlevelscope</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox345"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox346"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgflowlevelscope</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-280004"></a>
-<a
- id="dx27-280005"></a>
- <!--l. 513--><p class="noindent">This environment first surrounds the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt; </span>by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. Then it calls
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevel</span></span></span> with the argument <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 517--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-540-" ><colgroup id="TBL-540-1g"><col
-id="TBL-540-1"><col
-id="TBL-540-2"></colgroup><tr
- valign="baseline" id="TBL-540-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-540-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-619.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-540-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgflowlevelscope}{\pgftransformscale{5}}</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;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgflowlevelscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgflowlevelscope}{\pgftransformxshift{-1cm}}</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;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgflowlevelscope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse27.html" >next</a>] [<a
-href="pgfmanualse25.html" >prev</a>] [<a
-href="pgfmanualse25.html#tailpgfmanualse25.html" >prev-tail</a>] [<a
-href="pgfmanualse26.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse26.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse26.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse27.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse27.html
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--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse27.html
+++ /dev/null
@@ -1,726 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>27 Declaring and Using Images</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse28.html" >next</a>] [<a
-href="pgfmanualse26.html" >prev</a>] [<a
-href="pgfmanualse26.html#tailpgfmanualse26.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse27.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse27.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">27 </span> <a
- id="x28-28100027"></a>Declaring and Using Images</h3>
-<!--l. 12--><p class="noindent">This section describes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span> package.
-<!--l. 14--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox347"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfbaseimage</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx28-281001"></a>
-<a
- id="dx28-281002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox348"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseimage</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox349"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseimage</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 15--><p class="noindent">This package offers an abstraction of the image inclusion process. It is loaded automatically by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>,
- but you can load it manually if you have only included <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>. </dd></dl>
-<!--l. 20--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">27.1 </span> <a
- id="x28-28200027.1"></a>Overview</h4>
-<!--l. 22--><p class="noindent">To be quite frank, <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\includegraphics</span></span></span> is designed better than <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span>. For this reason, <span
-class="cmti-10">I</span>
-<span
-class="cmti-10">recommend that you use the standard image inclusion mechanism of your format</span>. Thus, <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;users are
-encouraged to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\includegraphics</span></span></span> to include images.
-<!--l. 27--><p class="indent"> However, there are reasons why you might need to use the image inclusion facilities of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>:
- <ul class="itemize1">
- <li class="itemize">There is no standard image inclusion mechanism in your format. For example, plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not
- have one, so <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 inclusion mechanism is &#8220;better than nothing.&#8221;
- <!--l. 35--><p class="noindent">However, this applies only to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> backend. For all other backends, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;currently maps its
- commands back to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> package. Thus, in plain <span class="TEX">T<span
-class="E">E</span>X</span>, this does not really help. It might be a
- good idea to fix this in the future such that <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;becomes independent of <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, thereby providing
- a uniform image abstraction for all formats.
- </li>
- <li class="itemize">You wish to use masking. This is a feature that is only supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, though I hope that someone
- will implement this also for the graphics package in <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;in the future.</li></ul>
-<!--l. 47--><p class="indent"> Whatever your choice, you can still use the usual image inclusion facilities of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphics</span></span></span> package.
-<!--l. 50--><p class="indent"> The general approach taken 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;to including an image is the following: First, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareimage</span></span></span> declares
-the image. This must be done prior to the first use of the image. Once you have declared an image, you can insert it
-into the text using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span>. The advantage of this two-phase approach is that, at least for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>, the image
-data will only be included once in the file. This can drastically reduce the file size if you use an image repeatedly, for
-example in an overlay. However, there is also a command called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfimage</span></span></span> that declares and then immediately uses
-the image.
-<!--l. 61--><p class="indent"> To speedup the compilation, you may wish to use the following class option:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox350"><span
-class="cmtt-10">\usepackage[</span><span
-class="cmtt-10">draft</span><span
-class="cmtt-10">]{pgf}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-282001"></a>
-<a
- id="dx28-282002"></a>
- <!--l. 64--><p class="noindent">In draft mode boxes showing the image name replace the images. It is checked whether the image files
- exist, but they are not read. If either height or width is not given, 1cm is used instead. </dd></dl>
-
-
-<!--l. 70--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">27.2 </span> <a
- id="x28-28300027.2"></a>Declaring an Image</h4>
-<!--l. 73--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox351"><span
-class="cmtt-10">\pgfdeclareimage</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-283001"></a>
- <!--l. 74--><p class="noindent">Declares an image, but does not paint anything. To draw the image, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image</span>
- <span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt; </span>may not have an extension. For <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>, the extensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.jpg</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.png</span></span></span> will
- automatically tried. For PostScript, the extensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.eps</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.epsi</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span> will be tried.
- <!--l. 80--><p class="noindent">The following options are possible:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span> sets the height of the image. If the width is not specified simultaneously, the
- aspect ratio of the image is kept.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span> sets the width of the image. If the height is not specified simultaneously, the
- aspect ratio of the image is kept.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">page=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">page number</span><span
-class="cmsy-10">&gt;</span> selects a given page number from a multipage document. Specifying this option will
- have the following effect: first, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;tries to find a file named
- <div class="quote">
- <!--l. 95--><p class="noindent"><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.page</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">page number</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">extension</span><span
-class="cmsy-10">&gt;</span></div>
- <!--l. 97--><p class="noindent">If such a file is found, it will be used instead of the originally specified filename. If not, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;inserts the
- image stored in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</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">extension</span><span
-class="cmsy-10">&gt; </span>and if a recent version of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> is used, only the selected page
- is inserted. For older versions of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> and for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> the complete document is inserted and a
- warning is printed.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">interpolate=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">true or false</span><span
-class="cmsy-10">&gt;</span> selects whether the image should &#8220;smoothed&#8221; when zoomed. False by
- default.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mask=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mask name</span><span
-class="cmsy-10">&gt;</span> selects a transparency mask. The mask must previously be declared using
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclaremask</span></span></span> (see below). This option only has an effect for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdf</span></span></span>. Not all viewers support
- masking.</li></ul>
- <!--l. 113--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-541-" ><colgroup id="TBL-541-1g"><col
-id="TBL-541-1"></colgroup><tr
- valign="baseline" id="TBL-541-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-541-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,height=1cm]{image1}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]{image2}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,height=1cm]{image3}{pgf-tu-logo}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 121--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox352"><span
-class="cmtt-10">\pgfaliasimage</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">existing image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-283002"></a>
- <!--l. 122--><p class="noindent">The <span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">existing image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>is &#8220;cloned&#8221; and the <span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>can now be used whenever
- original image is used. This command is useful for creating aliases for alternate extensions and for
- accessing the last image inserted using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfimage</span></span></span>.
- <!--l. 127--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfaliasimage{image.!30!white}{image.!25!white}</span></span></span> </dd></dl>
-
-
-<!--l. 131--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">27.3 </span> <a
- id="x28-28400027.3"></a>Using an Image</h4>
-<!--l. 133--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox353"><span
-class="cmtt-10">\pgfuseimage</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-284001"></a>
- <!--l. 134--><p class="noindent">Inserts a previously declared image into the <span
-class="cmti-10">normal text</span>. If you wish to use it in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>
- environment, you must put a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> around it.
- <!--l. 138--><p class="noindent">If the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfalternateextension</span></span></span> expands to some nonempty <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt;</span>, <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
- first try to use the image names <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image name</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">alternate extension</span><span
-class="cmsy-10">&gt;</span>. If this image is not defined,
- <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 next check whether <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt; </span>contains a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span> character. If so, everything up to this
- exclamation mark and including it is deleted from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt; </span>and the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;again tries to use
- the image <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image name</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">alternate extension</span><span
-class="cmsy-10">&gt;</span>. This is repeated until <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt; </span>no longer
- contains a&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span>. Then the original image is used.
- <!--l. 149--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xxcolor</span></span></span> package sets the alternate extension to the current color mixin.
- <!--l. 152--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-542-" ><colgroup id="TBL-542-1g"><col
-id="TBL-542-1"><col
-id="TBL-542-2"></colgroup><tr
- valign="baseline" id="TBL-542-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-542-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-620.svg" width="39.47017 " height="191.21764 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-542-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]{image1}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm]{image2}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,height=1cm]{image3}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{5cm},left,base]{\pgfuseimage{image1}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{3cm},left,base]{\pgfuseimage{image2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{1cm},left,base]{\pgfuseimage{image3}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 168--><p class="noindent">The following example demonstrates the effect of using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span> inside a color mixin environment.
-
-
- <!--l. 171--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-543-" ><colgroup id="TBL-543-1g"><col
-id="TBL-543-1"><col
-id="TBL-543-2"></colgroup><tr
- valign="baseline" id="TBL-543-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-543-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-621.svg" width="39.47017 " height="191.21764 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-543-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{image1.!25!white}{pgf-tu-logo.25}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{image2.25!white}{pgf-tu-logo.25}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,height=1cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{image3.white}{pgf-tu-logo.25}</span>
-<br><span
-class="cmtt-8">\begin{colormixin}{25!white}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{5cm},left,base]{\pgfuseimage{image1}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{3cm},left,base]{\pgfuseimage{image2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{1cm},left,base]{\pgfuseimage{image3}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span>
-<br><span
-class="cmtt-8">\end{colormixin}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 193--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox354"><span
-class="cmtt-10">\pgfalternateextension</span></span> </dt><dd
-class="description">
-<a
- id="dx28-284002"></a>
- <!--l. 194--><p class="noindent">You should redefine this command to install a different alternate extension.
- <!--l. 197--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\def\pgfalternateextension{!25!white}</span></span></span> </dd></dl>
-<!--l. 201--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox355"><span
-class="cmtt-10">\pgfimage</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-284003"></a>
- <!--l. 202--><p class="noindent">Declares the image under the name <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflastimage</span></span></span> and immediately uses it. You can &#8220;save&#8221; the image
- for later usage by invoking <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfaliasimage</span></span></span> on <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflastimage</span></span></span>.
-
-
- <!--l. 206--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-544-" ><colgroup id="TBL-544-1g"><col
-id="TBL-544-1"><col
-id="TBL-544-2"></colgroup><tr
- valign="baseline" id="TBL-544-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-544-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-622.svg" width="39.47017 " height="191.21764 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-544-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{colormixin}{25!white}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{5cm},left,base]</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;{\pgfimage[interpolate=true,width=1cm,height=1cm]{pgf-tu-logo}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{3cm},left,base]</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;{\pgfimage[interpolate=true,width=1cm]{pgf-tu-logo}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{1cm},left,base]</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;{\pgfimage[interpolate=true,height=1cm]{pgf-tu-logo}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span>
-<br><span
-class="cmtt-8">\end{colormixin}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 227--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">27.4 </span> <a
- id="x28-28500027.4"></a>Masking an Image</h4>
-<!--l. 230--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox356"><span
-class="cmtt-10">\pgfdeclaremask</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mask name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-285001"></a>
- <!--l. 231--><p class="noindent">Declares a transparency mask named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mask name</span><span
-class="cmsy-10">&gt; </span>(called a <span
-class="cmti-10">soft mask </span>in the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>specification). This
- mask is read from the file <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span>. This file should contain a grayscale image that is as large as
- the actual image. A white pixel in the mask will correspond to &#8220;transparent,&#8221; a black pixel to &#8220;solid,&#8221;
- and gray values correspond to intermediate values. The mask must have a single &#8220;color channel.&#8221; This
- means that the mask must be a &#8220;real&#8221; grayscale image, not an <span
-class="cmcsc-10"><small
-class="small-caps">R</small><small
-class="small-caps">G</small><small
-class="small-caps">B</small></span>-image in which all <span
-class="cmcsc-10"><small
-class="small-caps">R</small><small
-class="small-caps">G</small><small
-class="small-caps">B</small></span>-triples
- happen to have the same components.
- <!--l. 242--><p class="noindent">You can only mask images the are in a &#8220;pixel format.&#8221; These are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.jpg</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.png</span></span></span>. You cannot mask
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> images in this way. Also, again, the mask file and the image file must have the same size.
- <!--l. 246--><p class="noindent">The following options may be given:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">matte=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color components</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>sets the so-called <span
-class="cmti-10">matte </span>of the actual image (strangely, this has to be
- specified together with the mask, not with the image itself). The matte is the color that has been
- used to preblend the image. For example, if the image has been preblended with a red background,
- then <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color components</span><span
-class="cmsy-10">&gt; </span>should be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{1</span><span
-class="cmtt-10">&nbsp;0</span><span
-class="cmtt-10">&nbsp;0}</span></span></span>. The default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{1</span><span
-class="cmtt-10">&nbsp;1</span><span
-class="cmtt-10">&nbsp;1}</span></span></span>, which is white in the
- rgb model.
- <!--l. 256--><p class="noindent">The matte is specified in terms of the parent&#8217;s image color space. Thus, if the parent is a grayscale
- image, the matte has to be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{1}</span></span></span>.</li></ul>
- <!--l. 260--><p class="noindent"><span
-class="cmti-10">Example:</span>
-
-
- <!--l. 261--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-623.svg" width="532.11607 " height="190.68431 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><span
-class="cmr-5">pgflastimage</span>
- ____________<span
-class="cmr-5">pgflastimage</span>
- ____________<span
-class="cmr-5">pgflastimage</span>
- <!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-545-" ><colgroup id="TBL-545-1g"><col
-id="TBL-545-1"></colgroup><tr
- valign="baseline" id="TBL-545-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-545-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;Draw</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;large</span><span
-class="cmsltt-10x-x-80">&nbsp;colorful</span><span
-class="cmsltt-10x-x-80">&nbsp;background</span>
-<br><span
-class="cmtt-8">\pgfdeclarehorizontalshading{colorful}{5cm}{color(0cm)=(red);</span>
-<br><span
-class="cmtt-8">color(2cm)=(green);</span><span
-class="cmtt-8">&nbsp;color(4cm)=(blue);</span><span
-class="cmtt-8">&nbsp;color(6cm)=(red);</span>
-<br><span
-class="cmtt-8">color(8cm)=(green);</span><span
-class="cmtt-8">&nbsp;color(10cm)=(blue);</span><span
-class="cmtt-8">&nbsp;color(12cm)=(red);</span>
-<br><span
-class="cmtt-8">color(14cm)=(green)}</span>
-<br><span
-class="cmtt-8">\hbox{\pgfuseshading{colorful}\hskip-14cm\hskip1cm</span>
-<br><span
-class="cmtt-8">\pgfimage[height=4cm]{pgf-apple}\hskip1cm</span>
-<br><span
-class="cmtt-8">\pgfimage[height=4cm]{pgf-apple.mask}\hskip1cm</span>
-<br><span
-class="cmtt-8">\pgfdeclaremask{mymask}{pgf-apple.mask}</span>
-<br><span
-class="cmtt-8">\pgfimage[mask=mymask,height=4cm,interpolate=true]{pgf-apple}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse28.html" >next</a>] [<a
-href="pgfmanualse26.html" >prev</a>] [<a
-href="pgfmanualse26.html#tailpgfmanualse26.html" >prev-tail</a>] [<a
-href="pgfmanualse27.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse27.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse27.html"></a>
-</body></html>
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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>28 Declaring and Using Shadings</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)">
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-<!-- html -->
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-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse29.html" >next</a>] [<a
-href="pgfmanualse27.html" >prev</a>] [<a
-href="pgfmanualse27.html#tailpgfmanualse27.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse28.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse28.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">28 </span> <a
- id="x29-28600028"></a>Declaring and Using Shadings</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">28.1 </span> <a
- id="x29-28700028.1"></a>Overview</h4>
-<!--l. 14--><p class="noindent">A shading is an area in which the color changes smoothly between different colors. Similarly to an image, a
-shading must first be declared before it can be used. Also similarly to an image, a shading is put into a
-<span class="TEX">T<span
-class="E">E</span>X</span>-box. Hence, in order to include a shading in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>, you have to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> around
-it.
-<!--l. 20--><p class="indent"> There are three kinds of shadings: horizontal, vertical, and radial shadings. However, you can rotate and clip
-shadings like any other graphics object, which allows you to create more complicated shadings. Horizontal shadings
-could be created by rotating a vertical shading by 90 degrees, but explicit commands for creating both horizontal
-and vertical shadings are included for convenience.
-<!--l. 27--><p class="indent"> Once you have declared a shading, you can insert it into text using the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseshading</span></span></span>. This
-command cannot be used directly in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>, you have to put a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> around it. The second command
-for using shadings, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshadepath</span></span></span>, on the other hand, can only be used inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environments. It will
-&#8220;fill&#8221; the current path with the shading.
-<!--l. 34--><p class="indent"> A horizontal shading is a horizontal bar of a certain height whose color changes smoothly. You must at least
-specify the colors at the left and at the right end of the bar, but you can also add color specifications for points in
-between. For example, suppose you which to create a bar that is red at the left end, green in the
-middle, and blue at the end. Suppose you would like the bar to be 4cm long. This could be specified as
-follows:
-<!--l. 41--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-546-" ><colgroup id="TBL-546-1g"><col
-id="TBL-546-1"></colgroup><tr
- valign="baseline" id="TBL-546-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-546-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">rgb(0cm)=(1,0,0);</span><span
-class="cmtt-8">&nbsp;rgb(2cm)=(0,1,0);</span><span
-class="cmtt-8">&nbsp;rgb(4cm)=(0,0,1)</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 44--><p class="indent"> This line means that at 0cm (the left end) of the bar, the color should be red, which has red-green-blue (rgb)
-components (1,0,0). At 2cm, the bar should be green, and at 4cm it should be blue. Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rgb</span></span></span>, you can
-currently also specify <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray</span></span></span> as color model, in which case only one value is needed, or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color</span></span></span>, in which case you must
-provide the name of a color in parentheses. In a color specification the individual specifications must be separated
-using a semicolon, which may be followed by a whitespace (like a space or a newline). Individual specifications must
-be given in increasing order.
-<!--l. 55--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">28.2 </span> <a
- id="x29-28800028.2"></a>Declaring Shadings</h4>
-<!--l. 58--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox357"><span
-class="cmtt-10">\pgfdeclarehorizontalshading</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading height</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-288001"></a>
- <!--l. 59--><p class="noindent">Declares a horizontal shading named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt; </span>of the specified <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt; </span>with the specified colors.
- The length of the bar is deduced automatically from the maximum dimension in the specification.
- <!--l. 63--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-547-" ><colgroup id="TBL-547-1g"><col
-id="TBL-547-1"><col
-id="TBL-547-2"></colgroup><tr
- valign="baseline" id="TBL-547-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-547-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-624.svg" width="152.74744 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-547-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclarehorizontalshading{myshadingA}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{1cm}{rgb(0cm)=(1,0,0);</span><span
-class="cmtt-8">&nbsp;color(2cm)=(green);</span><span
-class="cmtt-8">&nbsp;color(4cm)=(blue)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingA}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 69--><p class="noindent">The effect of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span>, which is a comma-separated list of colors, is the following: Normally, when this
- list is empty, once a shading has been declared, it becomes &#8220;frozen.&#8221; This means that even if you change a
- color that was used in the declaration of the shading later on, the shading will not change. By specifying a
-
-
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt; </span>you can specify that the shading should be recalculated whenever one of the colors listed in
- the list changes (this includes effects like color mixins). Thus, when you specify a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span>,
- whenever the shading is used, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;first converts the colors in the list to <span
-class="cmcsc-10"><small
-class="small-caps">R</small><small
-class="small-caps">G</small><small
-class="small-caps">B</small> </span>triples using the
- current values of the colors and taking any mixins and blends into account. If the resulting <span
-class="cmcsc-10"><small
-class="small-caps">R</small><small
-class="small-caps">G</small><small
-class="small-caps">B</small></span>
- triples have not yet been used, a new shading is internally created and used. Note that if the
- option <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt; </span>is used, then no shading is created until the first use of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseshading</span></span></span>.
- In particular, the colors mentioned in the shading need not be defined when the declaration is
- given.
- <!--l. 88--><p class="noindent">When a shading is recalculated because of a change in the colors mentioned in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span>, the complete
- shading is recalculated. Thus even colors not mentioned in the list will be used with their current values, not
- with the values they had upon declaration.
- <!--l. 94--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-625.svg" width="76.8737 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-626.svg" width="76.8737 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-548-" ><colgroup id="TBL-548-1g"><col
-id="TBL-548-1"></colgroup><tr
- valign="baseline" id="TBL-548-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-548-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclarehorizontalshading[mycolor]{myshadingB}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{1cm}{rgb(0cm)=(1,0,0);</span><span
-class="cmtt-8">&nbsp;color(2cm)=(mycolor)}</span>
-<br><span
-class="cmtt-8">\colorlet{mycolor}{green}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingB}</span>
-<br><span
-class="cmtt-8">\colorlet{mycolor}{blue}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingB}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 106--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox358"><span
-class="cmtt-10">\pgfdeclareverticalshading</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-288002"></a>
- <!--l. 107--><p class="noindent">Declares a vertical shading named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt; </span>of the specified <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span>. The height of the bar is
- deduced automatically. The effect of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt; </span>is the same as for horizontal shadings.
- <!--l. 112--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-549-" ><colgroup id="TBL-549-1g"><col
-id="TBL-549-1"><col
-id="TBL-549-2"></colgroup><tr
- valign="baseline" id="TBL-549-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-549-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-627.svg" width="152.74744 " height="76.8737 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-549-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{myshadingC}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{4cm}{rgb(0cm)=(1,0,0);</span><span
-class="cmtt-8">&nbsp;rgb(1.5cm)=(0,1,0);</span><span
-class="cmtt-8">&nbsp;rgb(2cm)=(0,0,1)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingC}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 121--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox359"><span
-class="cmtt-10">\pgfdeclareradialshading</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-288003"></a>
- <!--l. 122--><p class="noindent">Declares an radial shading. A radial shading is a circle whose inner color changes as specified by the
- color specification. Assuming that the center of the shading is at the origin, the color of the center
- will be the color specified for 0cm and the color of the border of the circle will be the color for the
- maximum dimension given in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color specified</span><span
-class="cmsy-10">&gt;</span>. This maximum will also be the radius of the circle.
- If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center point</span><span
-class="cmsy-10">&gt; </span>is not at the origin, the whole shading inside the circle (whose size remains exactly
- the same) will be distorted such that the given center now has the color specified for 0cm. The effect
- of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt; </span>is the same as for horizontal shadings.
- <!--l. 134--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-550-" ><colgroup id="TBL-550-1g"><col
-id="TBL-550-1"><col
-id="TBL-550-2"></colgroup><tr
- valign="baseline" id="TBL-550-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-550-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-628.svg" width="80.66762 " height="80.66762 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-550-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfdeclareradialshading{sphere}{\pgfpoint{0.5cm}{0.5cm}}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{rgb(0cm)=(0.9,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rgb(0.7cm)=(0.7,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rgb(1cm)=(0.5,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rgb(1.05cm)=(1,1,1)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{sphere}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 145--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">28.3 </span> <a
- id="x29-28900028.3"></a>Using Shadings</h4>
-<!--l. 148--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox360"><span
-class="cmtt-10">\pgfuseshading</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-289001"></a>
- <!--l. 149--><p class="noindent">Inserts a previously declared shading into the text. If you wish to use it in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpicture</span></span></span> environment,
- you should put a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfbox</span></span></span> around it.
- <!--l. 153--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-551-" ><colgroup id="TBL-551-1g"><col
-id="TBL-551-1"><col
-id="TBL-551-2"></colgroup><tr
- valign="baseline" id="TBL-551-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-551-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-631.svg" width="70.04785 " height="46.63496 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-551-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfdeclareverticalshading{myshadingD}</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;{20pt}{color(0pt)=(red);</span><span
-class="cmtt-8">&nbsp;color(20pt)=(blue)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{0cm}]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfuseshading{myshadingD}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{2cm}{0.5cm}]{\pgfuseshading{myshadingD}}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 163--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox361"><span
-class="cmtt-10">\pgfshadepath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">angle</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-289002"></a>
- <!--l. 164--><p class="noindent">This command must be used inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. The effect is a bit complex, so let
- us go over it step by step.
- <!--l. 167--><p class="noindent">First, <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 setup a local scope.
- <!--l. 169--><p class="noindent">Second, it uses the current path to clip everything inside this scope. However, the current path is once
- more available after the scope, so it can be used, for example, to stroke it.
- <!--l. 173--><p class="noindent">Now, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt; </span>should be a shading whose width and height are 100 bp, that is, 100 big
- points. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;has a look at the bounding box of the current path. This bounding box is computed
- automatically when a path is computed; however, it can sometimes be (quite a bit) too large, especially
- when complicated curves are involved.
- <!--l. 180--><p class="noindent">Inside the scope, the low-level transformation matrix is modified. The center of the shading is translated
- (moved) such that it lies on the center of the bounding box of the path. The low-level coordinate
- system is also scaled such that the shading &#8220;covers&#8221; the shading (the details are a bit more complex,
- see below). Finally, the coordinate system is rotated by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">angle</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 187--><p class="noindent">After everything has been set up, the shading is inserted. Due to the transformations and clippings,
- the effect will be that the shading seems to &#8220;fill&#8221; the path.
- <!--l. 191--><p class="noindent">If both the path and the shadings were always rectangles and if rotation were never involved, it would
- be easy to scale shadings such they always cover the path. However, when a vertical shading is rotated,
- it must obviously be &#8220;magnified&#8221; so that it still covers the path. Things get worse when the path is
- not a rectangle itself.
- <!--l. 198--><p class="noindent">For these reasons, things work slightly differently &#8220;in reality.&#8221; The shading is scaled and translated
- such that the the point (50bp<span
-class="cmmi-10">,</span>50bp), which is the middle of the shading, is at the middle of the path
- and such that the the point (25bp<span
-class="cmmi-10">,</span>25bp) is at the lower left corner of the path and that (75bp<span
-class="cmmi-10">,</span>75bp)
- is at upper right corner.
- <!--l. 206--><p class="noindent">In other words, only the center quarter of the shading will actually &#8220;survive the clipping&#8221; if the path
- is a rectangle. If the path is not a rectangle, but, say, a circle, even less is seen of the shading. Here is
- an example that demonstrates this effect:
-
-
- <!--l. 211--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-632.svg" width="134.83281 " height="134.83281 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-633.svg" width="380.90193 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-552-" ><colgroup id="TBL-552-1g"><col
-id="TBL-552-1"></colgroup><tr
- valign="baseline" id="TBL-552-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-552-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{myshadingE}{100bp}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(green);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(75bp)=(blue);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(100bp)=(black)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingE}</span>
-<br><span
-class="cmtt-8">\hskip</span><span
-class="cmtt-8">&nbsp;1cm</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingE}{0}</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;\pgfpathrectangle{\pgfpoint{3cm}{0cm}}{\pgfpoint{1cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingE}{0}</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;\pgfpathrectangle{\pgfpoint{5cm}{0cm}}{\pgfpoint{2cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingE}{45}</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;\pgfpathcircle{\pgfpoint{9cm}{1cm}}{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingE}{45}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 232--><p class="noindent">As can be seen above in the last case, the &#8220;hidden&#8221; part of the shading actually <span
-class="cmti-10">can </span>become visible if the
- shading is rotated. The reason is that it is scaled as if no rotation took place, then the rotation is
- done.
- <!--l. 237--><p class="noindent">The following graphics show which part of the shading are actually shown:
- <!--l. 240--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-637.svg" width="527.53375 " height="160.28314 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-553-" ><colgroup id="TBL-553-1g"><col
-id="TBL-553-1"></colgroup><tr
- valign="baseline" id="TBL-553-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-553-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{myshadingF}{100bp}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(green);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(75bp)=(blue);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(100bp)=(black)}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,50bp)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{\pgfuseshading{myshadingF}};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[white,thick]</span><span
-class="cmtt-8">&nbsp;(25bp,25bp)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(75bp,75bp);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,0bp)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{first</span><span
-class="cmtt-8">&nbsp;two</span><span
-class="cmtt-8">&nbsp;applications};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[xshift=5cm]</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;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,50bp)</span><span
-class="cmtt-8">&nbsp;node{\pgfuseshading{myshadingF}};</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;\draw[rotate</span><span
-class="cmtt-8">&nbsp;around={45:(50bp,50bp)},white,thick]</span><span
-class="cmtt-8">&nbsp;(25bp,25bp)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(75bp,75bp);</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;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,0bp)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{third</span><span
-class="cmtt-8">&nbsp;application};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[xshift=10cm]</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;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,50bp)</span><span
-class="cmtt-8">&nbsp;node{\pgfuseshading{myshadingF}};</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;\draw[white,thick]</span><span
-class="cmtt-8">&nbsp;(50bp,50bp)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(25bp);</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;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,0bp)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{fourth</span><span
-class="cmtt-8">&nbsp;application};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 262--><p class="noindent">An advantage of this approach is that when you rotate a radial shading, no distortion is introduced:
-
-
- <!--l. 265--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-638.svg" width="134.83281 " height="134.83281 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-639.svg" width="266.558 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-554-" ><colgroup id="TBL-554-1g"><col
-id="TBL-554-1"></colgroup><tr
- valign="baseline" id="TBL-554-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-554-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareradialshading{ballshading}{\pgfpoint{-10bp}{10bp}}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red!15!white);</span><span
-class="cmtt-8">&nbsp;color(9bp)=(red!75!white);</span>
-<br><span
-class="cmtt-8">&nbsp;color(18bp)=(red!70!black);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(red!50!black);</span><span
-class="cmtt-8">&nbsp;color(50bp)=(black)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{ballshading}</span>
-<br><span
-class="cmtt-8">\hskip</span><span
-class="cmtt-8">&nbsp;1cm</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{ballshading}{0}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{3cm}{0cm}}{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{ballshading}{0}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{6cm}{0cm}}{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{ballshading}{45}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 284--><p class="noindent">If you specify a rotation of 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> and if the path is not a square, but an elongated rectangle, the &#8220;desired&#8221; effect
- results: The shading will exactly vary between the colors at the 25bp and 75bp boundaries. Here is an
- example:
- <!--l. 289--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-640.svg" width="305.02818 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-555-" ><colgroup id="TBL-555-1g"><col
-id="TBL-555-1"></colgroup><tr
- valign="baseline" id="TBL-555-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-555-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{myshadingG}{100bp}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(green);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(75bp)=(blue);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(100bp)=(black)}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingG}{0}</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;\pgfpathrectangle{\pgfpoint{3cm}{0cm}}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingG}{90}</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;\pgfpathrectangle{\pgfpoint{6cm}{0cm}}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingG}{45}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 306--><p class="noindent">As a final example, let us define a &#8220;rainbow spectrum&#8221; shading for use with Ti<span
-class="cmti-10">k</span>Z.
- <!--l. 308--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-556-" ><colgroup id="TBL-556-1g"><col
-id="TBL-556-1"><col
-id="TBL-556-2"></colgroup><tr
- valign="baseline" id="TBL-556-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-556-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-641.svg" width="152.74738 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-556-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{rainbow}{100bp}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(35bp)=(yellow);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(45bp)=(green);</span><span
-class="cmtt-8">&nbsp;color(55bp)=(cyan);</span><span
-class="cmtt-8">&nbsp;color(65bp)=(blue);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(75bp)=(violet);</span><span
-class="cmtt-8">&nbsp;color(100bp)=(violet)}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[shading=rainbow]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;node[white]</span><span
-class="cmtt-8">&nbsp;{\textsc{pride}}</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[shading</span><span
-class="cmtt-8">&nbsp;angle=90]</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 319--><p class="noindent">Note that rainbow shadings are <span
-class="cmti-10">way </span>to colorful in almost all applications. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse29.html" >next</a>] [<a
-href="pgfmanualse27.html" >prev</a>] [<a
-href="pgfmanualse27.html#tailpgfmanualse27.html" >prev-tail</a>] [<a
-href="pgfmanualse28.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse28.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse28.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse29.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse29.html
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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>29 Creating Plots</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse30.html" >next</a>] [<a
-href="pgfmanualse28.html" >prev</a>] [<a
-href="pgfmanualse28.html#tailpgfmanualse28.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse29.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse29.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">29 </span> <a
- id="x30-29000029"></a>Creating Plots</h3>
-<!--l. 12--><p class="noindent">This section describes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span> package.
-<!--l. 14--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox362"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfbaseplot</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx30-290001"></a>
-<a
- id="dx30-290002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox363"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseplot</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox364"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseplot</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 15--><p class="noindent">This package provides a set of commands that are intended to make it reasonably easy to plot functions
- using <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. It is loaded automatically by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, but you can load it manually if you have only included
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>. </dd></dl>
-<!--l. 21--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">29.1 </span> <a
- id="x30-29100029.1"></a>Overview</h4>
-<!--l. 23--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">29.1.1 </span> <a
- id="x30-29200029.1.1"></a>When Should One Use PGF for Generating Plots? </h5>
-<!--l. 25--><p class="noindent">There exist many powerful programs that produce plots, examples are <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>or <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">A</small><small
-class="small-caps">T</small><small
-class="small-caps">H</small><small
-class="small-caps">E</small><small
-class="small-caps">M</small><small
-class="small-caps">A</small><small
-class="small-caps">T</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">A</small></span>. These programs
-can produce two different kinds of output: First, they can output a complete plot picture in a certain format (like
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>) that includes all low-level commands necessary for drawing the complete plot (including axes and
-labels). Second, they can usually also produce &#8220;just plain data&#8221; in the form of a long list of coordinates.
-Most of the powerful programs consider it a to be &#8220;a bit boring&#8221; to just output tabled data and very
-much prefer to produce fancy pictures. Nevertheless, when coaxed, they can also provide the plain
-data.
-<!--l. 36--><p class="indent"> The plotting mechanism described in the following deals only with plotting data given in the form of a list of
-coordinates. Thus, this section is about using <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to turn lists of coordinates into plots.
-<!--l. 41--><p class="indent"> <span
-class="cmti-10">Note that is often not necessary to use </span><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span><span
-class="cmti-10">&nbsp;for this. </span>Programs like <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>can produce very
-sophisticated plots and it is usually much easier to simply include these plots as a finished <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>or PostScript
-graphics.
-<!--l. 46--><p class="indent"> However, there are a number of reasons why you may wish to invest time and energy into mastering the
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands for creating plots:
- <ul class="itemize1">
- <li class="itemize">Virtually all plots produced by &#8220;external programs&#8221; use different fonts from the one used in your
- document.
- </li>
- <li class="itemize">Even worse, formulas will look totally different, if they can be rendered at all.
- </li>
- <li class="itemize">Line width will usually be too large or too small.
- </li>
- <li class="itemize">Scaling effects upon inclusion can create a mismatch between sizes in the plot and sizes in the text.
-
-
- </li>
- <li class="itemize">The automatic grid generated by most programs is mostly distracting.
- </li>
- <li class="itemize">The automatic ticks generated by most programs are cryptic numerics. (Try adding a tick reading &#8220;<span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" /></span>&#8221;
- at the right point.)
- </li>
- <li class="itemize">Most programs make it very easy to create &#8220;chart junk&#8221; in a most convenient fashion. All show, no
- content.
- </li>
- <li class="itemize">Arrows and plot marks will almost never match the arrows used in the rest of the document.</li></ul>
-<!--l. 75--><p class="indent"> The above list is not exhaustive, unfortunately.
-<!--l. 78--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">29.1.2 </span> <a
- id="x30-29300029.1.2"></a>How PGF Handles Plots</h5>
-<!--l. 80--><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;(conceptually) uses a two-stage process for generating plots. First, a <span
-class="cmti-10">plot stream </span>must be produced. This
-stream consists (more or less) of a large number of coordinates. Second a <span
-class="cmti-10">plot handler </span>is applied to the stream. A
-plot handler &#8220;does something&#8221; with the stream. The standard handler will issue line-to operations to the
-coordinates in the stream. However, a handler might also try to issue appropriate curve-to operations in order to
-smooth the curve. A handler may even do something else entirely, like writing each coordinate to another stream,
-thereby duplicating the original stream.
-<!--l. 91--><p class="indent"> Both for the creation of streams and the handling of streams different sets of commands exist. The commands
-for creating streams start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstream</span></span></span>, the commands for setting the handler start with
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplothandler</span></span></span>.
-<!--l. 98--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">29.2 </span> <a
- id="x30-29400029.2"></a>Generating Plot Streams</h4>
-<!--l. 100--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">29.2.1 </span> <a
- id="x30-29500029.2.1"></a>Basic Building Blocks of Plot Streams</h5>
-<!--l. 101--><p class="noindent">A <span
-class="cmti-10">plot stream </span>is a (long) sequence of the following three commands:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x30-295002x1"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreamstart</span></span></span>,
- </li>
- <li class="enumerate" value="2"
-><a
- id="x30-295004x2"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreampoint</span></span></span>, and
- </li>
- <li class="enumerate" value="3"
-><a
- id="x30-295006x3"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreamend</span></span></span>.</li></ol>
-<!--l. 111--><p class="noindent">Between calls of these commands arbitrary other code may be called. Obviously, the stream should start with the first
-command and end with the last command. Here is an example of a plot stream:
-<!--l. 114--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-557-" ><colgroup id="TBL-557-1g"><col
-id="TBL-557-1"></colgroup><tr
- valign="baseline" id="TBL-557-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-557-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">\newdimen\mydim</span>
-<br><span
-class="cmtt-8">\mydim=2cm</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpoint{\mydim}{2cm}}</span>
-<br><span
-class="cmtt-8">\advance</span><span
-class="cmtt-8">&nbsp;\mydim</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;3cm</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpoint{\mydim}{2cm}}</span>
-<br><span
-class="cmtt-8">\pgfplotstreamend</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 125--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox365"><span
-class="cmtt-10">\pgfplotstreamstart</span></span> </dt><dd
-class="description">
-<a
- id="dx30-295007"></a>
- <!--l. 126--><p class="noindent">This command signals that a plot stream starts. The effect of this command is to call the internal
- command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreamstart</span></span></span>, which is set by the current plot handler to do whatever needs to
- be done at the beginning of the plot. </dd></dl>
-<!--l. 132--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox366"><span
-class="cmtt-10">\pgfplotstreampoint</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-295008"></a>
- <!--l. 133--><p class="noindent">This command adds a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>to the current plot stream. The effect of this command is to call the
- internal command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreampoint</span></span></span>, which is also set by the current plot handler. This command
- should now &#8220;handle&#8221; the point in some sensible way. For example, a line-to command might be issued
- for the point. </dd></dl>
-<!--l. 140--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox367"><span
-class="cmtt-10">\pgfplotstreamend</span></span> </dt><dd
-class="description">
-<a
- id="dx30-295009"></a>
- <!--l. 141--><p class="noindent">This command signals that a plot stream ends. It calls <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreamend</span></span></span>, which should now do
- any necessary &#8220;cleanup.&#8221; </dd></dl>
-<!--l. 145--><p class="indent"> Note that plot streams are not buffered, that is, the different points are handled immediately. However, using the
-recording handler, it is possible to record a stream.
-<!--l. 149--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">29.2.2 </span> <a
- id="x30-29600029.2.2"></a>Commands That Generate Plot Streams</h5>
-<!--l. 151--><p class="noindent">Plot streams can be created &#8220;by hand&#8221; as in the earlier example. However, most of the time the coordinates will be
-produced internally by some command. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotxyfile</span></span></span> reads a file and converts it into a plot
-stream.
-<!--l. 156--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox368"><span
-class="cmtt-10">\pgfplotxyfile</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-296001"></a>
- <!--l. 157--><p class="noindent">This command will try to open the file <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span>. If this succeeds, it will convert the file contents
- into a plot stream as follows: A <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreamstart</span></span></span> is issued. Then, each nonempty line of the file
- should start with two numbers separated by a space, such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.1</span><span
-class="cmtt-10">&nbsp;1</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">100</span><span
-class="cmtt-10">&nbsp;-.3</span></span></span>. Anything following
- the numbers is ignored.
- <!--l. 163--><p class="noindent">Each pair <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt; </span>of numbers is converted into one plot stream point in the xy-coordinate system. Thus, a
- line like
- <!--l. 165--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-558-" ><colgroup id="TBL-558-1g"><col
-id="TBL-558-1"></colgroup><tr
- valign="baseline" id="TBL-558-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-558-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">2</span><span
-class="cmtt-8">&nbsp;-5</span><span
-class="cmtt-8">&nbsp;some</span><span
-class="cmtt-8">&nbsp;text</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 168--><p class="noindent">is turned into
- <!--l. 169--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-559-" ><colgroup id="TBL-559-1g"><col
-id="TBL-559-1"></colgroup><tr
- valign="baseline" id="TBL-559-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-559-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpointxy{2}{-5}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 173--><p class="noindent">The two characters <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">%</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">#</span></span></span> are also allowed in a file and they are both treated as comment characters. Thus, a
- line starting with either of them is empty and, hence, ignored.
- <!--l. 177--><p class="noindent">When the file has been read completely, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreamend</span></span></span> is called. </dd></dl>
-<!--l. 182--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox369"><span
-class="cmtt-10">\pgfplotxyzfile</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-296002"></a>
- <!--l. 183--><p class="noindent">This command works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotxyfile</span></span></span>, only <span
-class="cmti-10">three </span>numbers are expected on each non-empty line. They are
- converted into points in the xyz-coordinate system. Consider, the following file:
- <!--l. 186--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-560-" ><colgroup id="TBL-560-1g"><col
-id="TBL-560-1"></colgroup><tr
- valign="baseline" id="TBL-560-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-560-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Some</span><span
-class="cmsltt-10x-x-80">&nbsp;comments</span>
-<br><span
-class="cmtt-8">#</span><span
-class="cmtt-8">&nbsp;more</span><span
-class="cmtt-8">&nbsp;comments</span>
-<br><span
-class="cmtt-8">2</span><span
-class="cmtt-8">&nbsp;-5</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;1</span><span
-class="cmtt-8">&nbsp;first</span><span
-class="cmtt-8">&nbsp;entry</span>
-<br><span
-class="cmtt-8">2</span><span
-class="cmtt-8">&nbsp;-.2</span><span
-class="cmtt-8">&nbsp;2</span><span
-class="cmtt-8">&nbsp;second</span><span
-class="cmtt-8">&nbsp;entry</span>
-<br><span
-class="cmtt-8">2</span><span
-class="cmtt-8">&nbsp;-5</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;2</span><span
-class="cmtt-8">&nbsp;third</span><span
-class="cmtt-8">&nbsp;entry</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 193--><p class="noindent">It is turned into the following stream:
- <!--l. 194--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-561-" ><colgroup id="TBL-561-1g"><col
-id="TBL-561-1"></colgroup><tr
- valign="baseline" id="TBL-561-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-561-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpointxyz{2}{-5}{1}}</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpointxyz{2}{-.2}{2}}</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpointxyz{2}{-5}{2}}</span>
-<br><span
-class="cmtt-8">\pgfplotstreamend</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 204--><p class="indent"> Currently, there is no command that can decide automatically whether the xy-coordinate system should be used
-or whether the xyz-system should be used. However, it would not be terribly difficult to write a &#8220;smart file reader&#8221;
-that parses coordinate files a bit more intelligently.
-<!--l. 211--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox370"><span
-class="cmtt-10">\pgfplotgnuplot</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">function</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-296003"></a>
- <!--l. 212--><p class="noindent">This command will &#8220;try&#8221; to call the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>program to generate the coordinates of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">function</span><span
-class="cmsy-10">&gt;</span>.
- In detail, the following happens:
- <!--l. 216--><p class="noindent">This command works with two files: <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span>. If the optional argument
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt; </span>is not given, it is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\jobname</span></span></span>.
- <!--l. 220--><p class="noindent">Let us start with the situation where none of these files exists. Then <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 first generate the file
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span>. In this file it writes
- <!--l. 223--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-562-" ><colgroup id="TBL-562-1g"><col
-id="TBL-562-1"></colgroup><tr
- valign="baseline" id="TBL-562-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-562-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;terminal</span><span
-class="cmtt-8">&nbsp;table;</span><span
-class="cmtt-8">&nbsp;set</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;"#1.table";</span><span
-class="cmtt-8">&nbsp;set</span><span
-class="cmtt-8">&nbsp;format</span><span
-class="cmtt-8">&nbsp;"</span><span
-class="cmsltt-10x-x-80">%.5f"</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 226--><p class="noindent">where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">#1</span></span></span> is replaced by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span>. Then, in a second line, it writes the text <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">function</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 229--><p class="noindent">Next, <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 try to invoke the program <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> with the argument <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span>. This call may or may
- not succeed, depending on whether the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\write18</span></span></span> mechanism (also known as shell escape) is switched on and
- whether the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> program is available.
- <!--l. 235--><p class="noindent">Assuming that the call succeeded, the next step is to invoke <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotxyfile</span></span></span> on the file <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span>; which
- is exactly the file that has just been created by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span>.
- <!--l. 239--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-563-" ><colgroup id="TBL-563-1g"><col
-id="TBL-563-1"><col
-id="TBL-563-2"></colgroup><tr
- valign="baseline" id="TBL-563-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-563-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-642.svg" width="153.14735 " height="117.1343 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-563-1-2"
-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;(0,-1)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(4,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerlineto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotgnuplot[plots/pgfplotgnuplot-example]{plot</span><span
-class="cmtt-8">&nbsp;[x=0:3.5]</span><span
-class="cmtt-8">&nbsp;x*sin(x)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 248--><p class="noindent">The more difficult situation arises when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> file exists, which will be the case on the second run of
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;on the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;file. In this case <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 read this file and check whether it contains exactly what
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;&#8220;would have written&#8221; into this file. If this is not the case, the file contents is overwritten with what
- &#8220;should be there&#8221; and, as above, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> is invoked to generate a new <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file. However, if the file
- contents is &#8220;as expected,&#8221; the external <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> program is <span
-class="cmti-10">not </span>called. Instead, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file is
- immediately read.
- <!--l. 259--><p class="noindent">As explained in Section&nbsp;<a
-href="pgfmanualse9.html#x10-1150009.12.3">9.12.3<!--tex4ht:ref: section-tikz-gnuplot --></a>, the net effect of the above mechanism is that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> is called as little as
- possible and that when you pass along the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> files with your <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file to someone else, that
- person can <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file without having <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> installed and without having the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\write18</span></span></span> mechanism
- switched on. </dd></dl>
-<!--l. 269--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">29.3 </span> <a
- id="x30-29700029.3"></a>Plot Handlers</h4>
-<!--l. 273--><p class="noindent">A <span
-class="cmti-10">plot handler </span>prescribes what &#8220;should be done&#8221; with a plot stream. You must set the plot handler before the
-stream starts. The following commands install the most basic plot handlers; more plot handlers are defined in the
-file <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryplothandlers</span></span></span>, which is documented in Section&nbsp;<a
-href="pgfmanualse14.html#x15-16800014.3">14.3<!--tex4ht:ref: section-library-plothandlers --></a>.
-<!--l. 279--><p class="indent"> All plot handlers work by setting redefining the following three macros: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreamstart</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreampoint</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreamend</span></span></span>.
-<!--l. 283--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox371"><span
-class="cmtt-10">\pgfplothandlerlineto</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297001"></a>
- <!--l. 284--><p class="noindent">This handler will issue a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathlineto</span></span></span> command for each point of the plot, <span
-class="cmti-10">except </span>possibly for the
- first. What happens with the first point can be specified using the two commands described below.
- <!--l. 289--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-564-" ><colgroup id="TBL-564-1g"><col
-id="TBL-564-1"><col
-id="TBL-564-2"></colgroup><tr
- valign="baseline" id="TBL-564-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-564-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-643.svg" width="115.3439 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-564-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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;\pgfplothandlerlineto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 304--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox372"><span
-class="cmtt-10">\pgfsetmovetofirstplotpoint</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297002"></a>
- <!--l. 305--><p class="noindent">Specifies that the line-to plot handler (and also some other plot handlers) should issue a move-to
- command for the first point of the plot instead of a line-to. This will start a new part of the current
- path, which is not always, but often, desirable. This is the default. </dd></dl>
-<!--l. 312--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox373"><span
-class="cmtt-10">\pgfsetlinetofirstplotpoint</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297003"></a>
- <!--l. 313--><p class="noindent">Specifies that plot handlers should issue a line-to command for the first point of the plot.
-
-
- <!--l. 316--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-565-" ><colgroup id="TBL-565-1g"><col
-id="TBL-565-1"><col
-id="TBL-565-2"></colgroup><tr
- valign="baseline" id="TBL-565-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-565-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-644.svg" width="115.3439 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-565-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</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;\pgfsetlinetofirstplotpoint</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerlineto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 332--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox374"><span
-class="cmtt-10">\pgfplothandlerdiscard</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297004"></a>
- <!--l. 333--><p class="noindent">This handler will simply throw away the stream. </dd></dl>
-<!--l. 336--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox375"><span
-class="cmtt-10">\pgfplothandlerrecord</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297005"></a>
- <!--l. 337--><p class="noindent">When this handler is installed, each time a plot stream command is called, this command will be
- appended to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macros</span><span
-class="cmsy-10">&gt;</span>. Thus, at the end of the stream, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt; </span>will contain all the commands that
- were issued on the stream. You can then install another handler and invoke <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt; </span>to &#8220;replay&#8221; the
- stream (possibly many times).
- <!--l. 344--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-566-" ><colgroup id="TBL-566-1g"><col
-id="TBL-566-1"><col
-id="TBL-566-2"></colgroup><tr
- valign="baseline" id="TBL-566-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-566-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-645.svg" width="93.19803 " height="87.93433 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-566-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerrecord{\mystream}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{3cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerlineto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\mystream</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerclosedcurve</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\mystream</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse30.html" >next</a>] [<a
-href="pgfmanualse28.html" >prev</a>] [<a
-href="pgfmanualse28.html#tailpgfmanualse28.html" >prev-tail</a>] [<a
-href="pgfmanualse29.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse29.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse29.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse3.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse3.html
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@@ -1,4152 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>3 Tutorial: A Picture for Karl&#8217;s Students</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse4.html" >next</a>] [<a
-href="pgfmanualse2.html" >prev</a>] [<a
-href="pgfmanualse2.html#tailpgfmanualse2.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse3.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse3.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">3 </span> <a
- id="x4-220003"></a>Tutorial: A Picture for Karl&#8217;s Students</h3>
-<!--l. 3--><p class="noindent">This tutorial is intended for new users of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z. It does not give an exhaustive account of all the features of
-Ti<span
-class="cmti-10">k</span>Z&nbsp;or <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, just of those that you are likely to use right away.
-<!--l. 7--><p class="indent"> Karl is a math and chemistry high-school teacher. He used to create the graphics in his worksheets and exams
-using <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> environment. While the results were acceptable, creating the graphics often turned out
-to be a lengthy process. Also, there tended to be problems with lines having slightly wrong angles and circles also
-seemed to be hard to get right. Naturally, his students could not care less whether the lines had the exact right
-angles and they find Karl&#8217;s exams too difficult no matter how nicely they were drawn. But Karl was never entirely
-satisfied with the result.
-<!--l. 17--><p class="indent"> Karl&#8217;s son, who was even less satisfied with the results (he did not have to take the exams, after all), told Karl
-that he might wish to try out a new package for creating graphics. A bit confusingly, this package seems to have two
-names: First, Karl had to download and install a package called <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. Then it turns out that inside this package
-there is another package called Ti<span
-class="cmti-10">k</span>Z, which is supposed to stand for &#8220;Ti<span
-class="cmti-10">k</span>Z&nbsp;ist <span
-class="cmti-10">kein </span>Zeichenprogramm.&#8221; Karl
-finds this all a bit strange and Ti<span
-class="cmti-10">k</span>Z&nbsp;seems to indicate that the package does not do what he needs.
-However, having used <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small> </span>software for quite some time and &#8220;<span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small> </span>not being Unix,&#8221; there seems to
-be hope yet. His son assures him that Ti<span
-class="cmti-10">k</span>Z&#8217;s name is intended to warn people that Ti<span
-class="cmti-10">k</span>Z&nbsp;is not a
-program that you can use to draw graphics with your mouse or tablet. Rather, it is more like a &#8220;graphics
-language.&#8221;
-<!--l. 33--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.1 </span> <a
- id="x4-230003.1"></a>Problem Statement</h4>
-<!--l. 35--><p class="noindent">Karl wants to put a graphic on the next worksheet for his students. He is currently teaching his students about sine
-and cosine. What he would like to have is something that looks like this (ideally):
-<!--l. 40--><p class="noindent"><object data="pgfmanual-5.svg" width="621.90195 " height="360.18604 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-
-
-<!--l. 115--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.2 </span> <a
- id="x4-240003.2"></a>Setting up the Environment</h4>
-<!--l. 117--><p class="noindent">In Ti<span
-class="cmti-10">k</span>Z, to draw a picture, at the start of the picture you need to tell <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;or <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;that you want to start a
-picture. In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;this is done using the environment <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span>, in plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;you just use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzpicture</span></span></span>
-to start the picture and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endtikzpicture</span></span></span> to end it.
-<!--l. 123--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">3.2.1 </span> <a
- id="x4-250003.2.1"></a>Setting up the Environment in <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span></h5>
-<!--l. 125--><p class="noindent">Karl, being a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;user, thus sets up his file as follows:
-<!--l. 127--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-4-" ><colgroup id="TBL-4-1g"><col
-id="TBL-4-1"></colgroup><tr
- valign="baseline" id="TBL-4-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-4-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{article}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;say</span>
-<br><span
-class="cmtt-8">\usepackage{tikz}</span>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">We</span><span
-class="cmtt-8">&nbsp;are</span><span
-class="cmtt-8">&nbsp;working</span><span
-class="cmtt-8">&nbsp;on</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}.</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 139--><p class="indent"> When executed, that is, run via <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> or via <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>, the resulting will contain something
-that looks like this:
-<!--l. 142--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-5-" ><colgroup id="TBL-5-1g"><col
-id="TBL-5-1"><col
-id="TBL-5-2"></colgroup><tr
- valign="baseline" id="TBL-5-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-5-1-1"
-class="td11"> &nbsp;We are working on<object data="pgfmanual-6.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-5-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">We</span><span
-class="cmtt-8">&nbsp;are</span><span
-class="cmtt-8">&nbsp;working</span><span
-class="cmtt-8">&nbsp;on</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}.</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 150--><p class="indent"> Admittedly, not quite the whole picture, yet, but we do have the axes established. Well, not quite, but we have
-the lines that make up the axes drawn. Karl suddenly has a sinking feeling that the picture is still some way
-off.
-<!--l. 155--><p class="indent"> Let&#8217;s have a more detailed look at the code. First, the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz</span></span></span> is loaded. This package is a so-called
-&#8220;frontend&#8221; to the basic <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system. The basic layer, which is also described in this manual, is somewhat
-more, well, basic and thus harder to use. The frontend makes things easier by providing a simpler
-syntax.
-<!--l. 161--><p class="indent"> Inside the environment there are two <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> commands. They mean: &#8220;The path, which is specified following the
-command up to the semicolon, should be drawn.&#8221; The first path is specified as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(-1.5,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(0,1.5)</span></span></span>,
-which means &#8220;a straight line from the point at position (<span
-class="cmsy-10">-</span>1<span
-class="cmmi-10">.</span>5<span
-class="cmmi-10">,</span>0) to the point at position (0<span
-class="cmmi-10">,</span>1<span
-class="cmmi-10">.</span>5).&#8221;
-Here, the positions are specified within a special coordinate system in which, initially, one unit is
-1cm.
-<!--l. 169--><p class="indent"> Karl is quite pleased to note that the environment automatically reserves enough space to encompass the
-picture.
-<!--l. 173--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">3.2.2 </span> <a
- id="x4-260003.2.2"></a>Setting up the Environment in Plain <span class="TEX">T<span
-class="E">E</span>X</span></h5>
-<!--l. 175--><p class="noindent">Karl&#8217;s wife Gerda, who also happens to be a math teacher, is not a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;user, but uses plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;since she
-prefers to do things &#8220;the old way.&#8221; She can also use Ti<span
-class="cmti-10">k</span>Z. Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{tikz}</span></span></span> she has to
-write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;tikz.tex</span></span></span> and instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\begin{tikzpicture}</span></span></span> she writes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzpicture</span></span></span> and instead of
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\end{tikzpicture}</span></span></span> she writes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endtikzpicture</span></span></span>.
-<!--l. 182--><p class="indent"> Thus, she would use:
-
-
-<!--l. 183--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-6-" ><colgroup id="TBL-6-1g"><col
-id="TBL-6-1"></colgroup><tr
- valign="baseline" id="TBL-6-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-6-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;Plain</span><span
-class="cmsltt-10x-x-80">&nbsp;TeX</span><span
-class="cmsltt-10x-x-80">&nbsp;file</span>
-<br><span
-class="cmtt-8">\input</span><span
-class="cmtt-8">&nbsp;tikz.tex</span>
-<br><span
-class="cmtt-8">\baselineskip=12pt</span>
-<br><span
-class="cmtt-8">\hsize=6.3truein</span>
-<br><span
-class="cmtt-8">\vsize=8.7truein</span>
-<br><span
-class="cmtt-8">We</span><span
-class="cmtt-8">&nbsp;are</span><span
-class="cmtt-8">&nbsp;working</span><span
-class="cmtt-8">&nbsp;on</span>
-<br><span
-class="cmtt-8">\tikzpicture</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">\endtikzpicture.</span>
-<br><span
-class="cmtt-8">\bye</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 197--><p class="indent"> Gerda can typeset this file using either <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> together with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. Ti<span
-class="cmti-10">k</span>Z&nbsp;will automatically discern
-which driver she is using. If she wishes to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span> together with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span>, she either needs to modify the file
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.cfg</span></span></span> or can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\def\pgfsysdriver{pgfsys-dvipdfm.def}</span></span></span> somewhere <span
-class="cmti-10">before </span>she inputs <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz.tex</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.tex</span></span></span>.
-<!--l. 207--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.3 </span> <a
- id="x4-270003.3"></a>Straight Path Construction</h4>
-<!--l. 209--><p class="noindent">The basic building block of all pictures in Ti<span
-class="cmti-10">k</span>Z&nbsp;is the path. A <span
-class="cmti-10">path </span>is a series of straight lines and curves that are
-connected (that is not the whole picture, but let us ignore the complications for the moment). You
-start a path by specifying the coordinates of the start position as a point in round brackets, as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span>. This is followed by a series of &#8220;path extension operations.&#8221; The simplest is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>, which we used
-already. It must be followed by another coordinate and it extends the path in a straight line to this new
-position. For example, if we were to turn the two paths of the axes into one path, the following would
-result:
-<!--l. 220--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-7-" ><colgroup id="TBL-7-1g"><col
-id="TBL-7-1"><col
-id="TBL-7-2"></colgroup><tr
- valign="baseline" id="TBL-7-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-7-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-7.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-7-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 224--><p class="indent"> Karl is a bit confused by the fact that there is no <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment, here. Instead, the little
-command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span></span></span> is used. This command either takes one argument (starting with an opening brace as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz{\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1.5,0)}</span></span></span>, which yields <object data="pgfmanual-8.svg" width="58.43857 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>) or collects everything up to the next semicolon and
-puts it inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. As a rule of thumb, all Ti<span
-class="cmti-10">k</span>Z&nbsp;graphic drawing commands must occur
-as an argument of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span></span></span> or inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. Fortunately, the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> will only be
-defined inside this environment, so there is little chance that you will accidentally do something wrong
-here.
-<!--l. 237--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.4 </span> <a
- id="x4-280003.4"></a>Curved Path Construction</h4>
-<!--l. 239--><p class="noindent">The next thing Karl wants to do is to draw the circle. For this, straight lines obviously will not do. Instead, we need
-some way to draw curves. For this, Ti<span
-class="cmti-10">k</span>Z&nbsp;provides a special syntax. One or two &#8220;control points&#8221; are needed. The
-math behind them is not quite trivial, but here is the basic idea: Suppose you are at point <span
-class="cmmi-10">x </span>and the first control
-point is <span
-class="cmmi-10">y</span>. Then the curve will start &#8220;going in the direction of&nbsp;<span
-class="cmmi-10">y </span>at&nbsp;<span
-class="cmmi-10">x</span>,&#8221; that is, the tangent of the
-curve at <span
-class="cmmi-10">x </span>will point toward&nbsp;<span
-class="cmmi-10">y</span>. Next, suppose the curve should end at <span
-class="cmmi-10">z </span>and the second support point
-is <span
-class="cmmi-10">w</span>. Then the curve will, indeed, end at <span
-class="cmmi-10">z </span>and the tangent of the curve at point <span
-class="cmmi-10">z </span>will go through
-<span
-class="cmmi-10">w</span>.
-<!--l. 250--><p class="indent"> Here is an example (the control points have been added for clarity):
-
-
-<!--l. 251--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-8-" ><colgroup id="TBL-8-1g"><col
-id="TBL-8-1"><col
-id="TBL-8-2"></colgroup><tr
- valign="baseline" id="TBL-8-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-8-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-9.svg" width="82.74033 " height="44.80348 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-8-1-2"
-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;\filldraw</span><span
-class="cmtt-8">&nbsp;[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 261--><p class="indent"> The general syntax for extending a path in a &#8220;curved&#8221; way is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span><span
-class="cmtt-10">&nbsp;controls</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first control point</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second</span>
-<span
-class="cmti-10">control point</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 point</span><span
-class="cmsy-10">&gt;</span>. You can leave out the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second control point</span><span
-class="cmsy-10">&gt;</span>, which causes the first one to be used
-twice.
-<!--l. 267--><p class="indent"> So, Karl can now add the first half circle to the picture:
-<!--l. 269--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-9-" ><colgroup id="TBL-9-1g"><col
-id="TBL-9-1"><col
-id="TBL-9-2"></colgroup><tr
- valign="baseline" id="TBL-9-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-9-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-10.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-9-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(-1,0.555)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(-0.555,1)</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;</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;</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;controls</span><span
-class="cmtt-8">&nbsp;(0.555,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(1,0.555)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 278--><p class="indent"> Karl is happy with the result, but finds specifying circles in this way to be extremely awkward. Fortunately,
-there is a much simpler way.
-<!--l. 282--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.5 </span> <a
- id="x4-290003.5"></a>Circle Path Construction</h4>
-<!--l. 284--><p class="noindent">In order to draw a circle, the path construction operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> can be used. This operation is followed by a radius
-in round brackets as in the following example: (Note that the previous position is used as the <span
-class="cmti-10">center </span>of the
-circle.)
-<!--l. 289--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-10-" ><colgroup id="TBL-10-1g"><col
-id="TBL-10-1"><col
-id="TBL-10-2"></colgroup><tr
- valign="baseline" id="TBL-10-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-10-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-11.svg" width="28.19987 " height="28.19987 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-10-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(10pt);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 293--><p class="indent"> You can also append an ellipse to the path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span> operation. Instead of a single radius you can
-specify two of them, one for the <span
-class="cmmi-10">x</span>-direction and one for the <span
-class="cmmi-10">y</span>-direction, separated by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span>:
-<!--l. 298--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-11-" ><colgroup id="TBL-11-1g"><col
-id="TBL-11-1"><col
-id="TBL-11-2"></colgroup><tr
- valign="baseline" id="TBL-11-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-11-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-12.svg" width="54.86644 " height="28.19987 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-11-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(20pt</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;10pt);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 302--><p class="indent"> To draw an ellipse whose axes are not horizontal and vertical, but point in an arbitrary direction (a &#8220;turned
-ellipse&#8221; like <object data="pgfmanual-13.svg" width="17.60966 " height="13.37836 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>) you can use transformations, which are explained later. The code for the little ellipse is
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw[rotate=30]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;ellipse</span><span
-class="cmtt-10">&nbsp;(6pt</span><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;3pt);</span></span></span>, by the way.
-<!--l. 309--><p class="indent"> So, returning to Karl&#8217;s problem, he can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;circle</span><span
-class="cmtt-10">&nbsp;(1cm);</span></span></span> to draw the circle:
-<!--l. 312--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-12-" ><colgroup id="TBL-12-1g"><col
-id="TBL-12-1"><col
-id="TBL-12-2"></colgroup><tr
- valign="baseline" id="TBL-12-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-12-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-14.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-12-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-
-
-</div>
-<!--l. 321--><p class="indent"> At this point, Karl is a bit alarmed that the circle is so small when he wants the final picture to
-be much bigger. He is pleased to learn that Ti<span
-class="cmti-10">k</span>Z&nbsp;has powerful transformation options and scaling
-everything by a factor of three is very easy. But let us leave the size as it is for the moment to save some
-space.
-<!--l. 330--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.6 </span> <a
- id="x4-300003.6"></a>Rectangle Path Construction</h4>
-<!--l. 332--><p class="noindent">The next things we would like to have is the grid in the background. There are several ways to produce it. For
-example, one might draw lots of rectangles. Since rectangles are so common, there is a special syntax for them: To
-add a rectangle to the current path, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> path construction operation. This operation should
-be followed by another coordinate and will append a rectangle to the path such that the previous
-coordinate and the next coordinates are corners of the rectangle. So, let us add two rectangles to the
-picture:
-<!--l. 341--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-13-" ><colgroup id="TBL-13-1g"><col
-id="TBL-13-1"><col
-id="TBL-13-2"></colgroup><tr
- valign="baseline" id="TBL-13-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-13-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-15.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-13-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0.5,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-0.5,-0.5)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(-1,-1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 351--><p class="indent"> While this may be nice in other situations, this is not really leading anywhere with Karl&#8217;s problem: First, we
-would need an awful lot of these rectangles and then there is the border that is not &#8220;closed.&#8221;
-<!--l. 355--><p class="indent"> So, Karl is about to resort to simply drawing four vertical and four horizontal lines using the nice <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span>
-command, when he learns that there is a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> path construction operation.
-<!--l. 361--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.7 </span> <a
- id="x4-310003.7"></a>Grid Path Construction</h4>
-<!--l. 363--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> path operation adds a grid to the current path. It will add lines making up a grid that fills the rectangle
-whose one corner is the current point and whose other corner is the point following the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> operation. For
-example, the code <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw[step=2pt]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;grid</span><span
-class="cmtt-10">&nbsp;(10pt,10pt);</span></span></span> produces <object data="pgfmanual-16.svg" width="14.8666 " height="14.8666 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. Note how the optional
-argument for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> can be used to specify a grid width (there are also <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xstep</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ystep</span></span></span> to define the steppings
-independently). As Karl will learn soon, there are <span
-class="cmti-10">lots </span>of things that can be influenced using such
-options.
-<!--l. 374--><p class="indent"> For Karl, the following code could be used:
-<!--l. 376--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-14-" ><colgroup id="TBL-14-1g"><col
-id="TBL-14-1"><col
-id="TBL-14-2"></colgroup><tr
- valign="baseline" id="TBL-14-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-14-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-17.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-14-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 385--><p class="indent"> Having another look at the desired picture, Karl notices that it would be nice for the grid to be more subdued.
-(His son told him that grids tend to be distracting if they are not subdued.) To subdue the grid, Karl adds two more
-options to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command that draws the grid. First, he uses the color <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray</span></span></span> for the grid lines. Second, he
-reduces the line width to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span>. Finally, he swaps the ordering of the commands so that the grid is drawn first
-and everything else on top.
-<!--l. 394--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-15-" ><colgroup id="TBL-15-1g"><col
-id="TBL-15-1"><col
-id="TBL-15-2"></colgroup><tr
- valign="baseline" id="TBL-15-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-15-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-18.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-15-1-2"
-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[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 404--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.8 </span> <a
- id="x4-320003.8"></a>Adding a Touch of Style</h4>
-<!--l. 406--><p class="noindent">Instead of the options <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray,very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span> Karl could also have said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span>. <span
-class="cmti-10">Styles </span>are predefined sets of
-options that can be used to organize how a graphic is drawn. By saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span> you say
-&#8220;use the style that I (or someone else) has set for drawing help lines.&#8221; If Karl decides, at some later
-point, that grids should be drawn, say, using the color <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">blue!50</span></span></span> instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray</span></span></span>, he could say the
-following:
-<!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-16-" ><colgroup id="TBL-16-1g"><col
-id="TBL-16-1"></colgroup><tr
- valign="baseline" id="TBL-16-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-16-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikzstyle</span><span
-class="cmtt-8">&nbsp;help</span><span
-class="cmtt-8">&nbsp;lines=[color=blue!50,very</span><span
-class="cmtt-8">&nbsp;thin]</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 416--><p class="indent"> Alternatively, he could have said the following:
-<!--l. 417--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-17-" ><colgroup id="TBL-17-1g"><col
-id="TBL-17-1"></colgroup><tr
- valign="baseline" id="TBL-17-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-17-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikzstyle</span><span
-class="cmtt-8">&nbsp;help</span><span
-class="cmtt-8">&nbsp;lines+=[color=blue!50]</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 420--><p class="indent"> This would have added the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=blue!50</span></span></span> option. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span> style would now contain <span
-class="cmti-10">two </span>color options,
-but the second would override the first.
-<!--l. 424--><p class="indent"> Using styles makes your graphics code more flexible. You can change the way things look easily in a consistent
-manner.
-<!--l. 427--><p class="indent"> To build a hierarchy of styles you can have one style use another. So in order to define a style <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">Karl's</span><span
-class="cmtt-10">&nbsp;grid</span></span></span> that
-is based on the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> style Karl could say
-<!--l. 430--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-18-" ><colgroup id="TBL-18-1g"><col
-id="TBL-18-1"></colgroup><tr
- valign="baseline" id="TBL-18-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-18-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle</span><span
-class="cmtt-8">&nbsp;Karl's</span><span
-class="cmtt-8">&nbsp;grid=[style=help</span><span
-class="cmtt-8">&nbsp;lines,color=blue!50]</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">\draw[style=Karl's</span><span
-class="cmtt-8">&nbsp;grid]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(5,5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 436--><p class="indent"> You can also leave out the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=</span></span></span>. Thus, whenever Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters an options that it does not know about, it
-will check whether this option happens to be the name of a style. If so, the style is used. Thus, Karl could also have
-written:
-<!--l. 440--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-19-" ><colgroup id="TBL-19-1g"><col
-id="TBL-19-1"></colgroup><tr
- valign="baseline" id="TBL-19-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-19-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle</span><span
-class="cmtt-8">&nbsp;Karl's</span><span
-class="cmtt-8">&nbsp;grid=[help</span><span
-class="cmtt-8">&nbsp;lines,color=blue!50]</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">\draw[Karl's</span><span
-class="cmtt-8">&nbsp;grid]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(5,5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 446--><p class="indent"> For some styles, like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span> style, it is pretty clear what the style does and there is no need to say
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span>. For other styles, like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span>, it seems more natural to me to say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span>. But,
-mainly, this is a matter of taste.
-<!--l. 452--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.9 </span> <a
- id="x4-330003.9"></a>Drawing Options</h4>
-
-
-<!--l. 454--><p class="noindent">Karl wonders what other options there are that influence how a path is drawn. He saw already that the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>option can be used to set the line&#8217;s color. The option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>does nearly the same, only it sets
-the color for the lines only and a different color can be used for filling (Karl will need this when he fills the arc for
-the angle).
-<!--l. 461--><p class="indent"> He saw that the style <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span> yields very thin lines. Karl is not really surprised by this and neither is he
-surprised to learn that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> yields thin lines, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thick</span></span></span> yields thick lines, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">very</span><span
-class="cmtt-10">&nbsp;thick</span></span></span> yields very thick lines,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ultra</span><span
-class="cmtt-10">&nbsp;thick</span></span></span> yields really, really thick lines and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ultra</span><span
-class="cmtt-10">&nbsp;thin</span></span></span> yields lines that are so thin that low-resolution printers
-and displays will have trouble showing them. He wonders what gives lines of &#8220;normal&#8221; thickness. It turns out that
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> is the correct choice. This seems strange to Karl, but his son explains him that <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;has two commands
-called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\thinlines</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\thicklines</span></span></span> and that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\thinlines</span></span></span> gives the line width of &#8220;normal&#8221; lines,
-more precisely, of the thickness that, say, the stem of a letter like &#8220;T&#8221; or &#8220;i&#8221; has. Nevertheless, Karl
-would like to know whether there is anything &#8220;in the middle&#8221; between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thick</span></span></span>. There is:
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">semithick</span></span></span>.
-<!--l. 476--><p class="indent"> Another useful thing one can do with lines is to dash or dot them. For this, the two styles <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dashed</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dotted</span></span></span>
-can be used, yielding <object data="pgfmanual-19.svg" width="14.8666 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and <object data="pgfmanual-20.svg" width="14.8666 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. Both options also exist in a loose and a dense version, called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">loosely</span><span
-class="cmtt-10">&nbsp;dashed</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">densely</span><span
-class="cmtt-10">&nbsp;dashed</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">loosely</span><span
-class="cmtt-10">&nbsp;dotted</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">densely</span><span
-class="cmtt-10">&nbsp;dotted</span></span></span>. If he really, really needs to, Karl can also define much
-more complex dashing patterns with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dash</span><span
-class="cmtt-10">&nbsp;pattern</span></span></span> option, but his son insists that dashing is to be used with
-utmost care and mostly distracts. Karl&#8217;s son claims that complicated dashing patterns are evil. Karl&#8217;s students do
-not care about dashing patterns.
-<!--l. 489--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.10 </span> <a
- id="x4-340003.10"></a>Arc Path Construction</h4>
-<!--l. 491--><p class="noindent">Our next obstacle is to draw the arc for the angle. For this, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">arc</span></span></span> path construction operation is useful,
-which draws part of a circle or ellipse. This <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">arc</span></span></span> operation must be followed by a triple in rounded
-brackets, where the components of the triple are separated by colons. The first two components are
-angles, the last one is a radius. An example would be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(10:80:10pt)</span></span></span>, which means &#8220;an arc from 10
-degrees to 80 degrees on a circle of radius 10pt.&#8221; Karl obviously needs an arc from 0<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> to 30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>. The
-radius should be something relatively small, perhaps around one third of the circle&#8217;s radius. This gives:
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0:30:3mm)</span></span></span>.
-<!--l. 502--><p class="indent"> When one uses the arc path construction operation, the specified arc will be added with its starting point at the
-current position. So, we first have to &#8220;get there.&#8221;
-<!--l. 506--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-20-" ><colgroup id="TBL-20-1g"><col
-id="TBL-20-1"><col
-id="TBL-20-2"></colgroup><tr
- valign="baseline" id="TBL-20-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-20-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-21.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-20-1-2"
-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[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 516--><p class="indent"> Karl thinks this is really a bit small and he cannot continue unless he learns how to do scaling. For this, he can
-add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[scale=3]</span></span></span> option. He could add this option to each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command, but that would be
-awkward. Instead, he adds it to the whole environment, which causes this option to apply to everything
-within.
-
-
-<!--l. 522--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-22.svg" width="342.96487 " height="342.96487 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-21-" ><colgroup id="TBL-21-1g"><col
-id="TBL-21-1"></colgroup><tr
- valign="baseline" id="TBL-21-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-21-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 532--><p class="indent"> As for circles, you can specify &#8220;two&#8221; radii in order to get an elliptical arc.
-<!--l. 535--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-22-" ><colgroup id="TBL-22-1g"><col
-id="TBL-22-1"><col
-id="TBL-22-2"></colgroup><tr
- valign="baseline" id="TBL-22-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-22-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-23.svg" width="134.31232 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-22-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:315:1.75cm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;1cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 540--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.11 </span> <a
- id="x4-350003.11"></a>Clipping a Path</h4>
-<!--l. 542--><p class="noindent">In order to save space in this manual, it would be nice to clip Karl&#8217;s graphics a bit so that we can focus on the
-&#8220;interesting&#8221; parts. Clipping is pretty easy in Ti<span
-class="cmti-10">k</span>Z. You can use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command clip all subsequent
-drawing. It works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span>, only it does not draw anything, but uses the given path to clip everything
-subsequently.
-<!--l. 549--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-23-" ><colgroup id="TBL-23-1g"><col
-id="TBL-23-1"><col
-id="TBL-23-2"></colgroup><tr
- valign="baseline" id="TBL-23-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-23-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-24.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-23-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 560--><p class="indent"> You can also do both at the same time: Draw <span
-class="cmti-10">and </span>clip a path. For this, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command and add the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option. (This is not the whole picture: You can also use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command and add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>
-option. Well, that is also not the whole picture: In reality, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> is just a shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span></span></span>
-
-
-and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> is a shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span> and you could also say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw,clip]</span></span></span>.) Here is an
-example:
-<!--l. 568--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-24-" ><colgroup id="TBL-24-1g"><col
-id="TBL-24-1"><col
-id="TBL-24-2"></colgroup><tr
- valign="baseline" id="TBL-24-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-24-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-25.svg" width="138.10738 " height="138.10738 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-24-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip[draw]</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.6cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 580--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.12 </span> <a
- id="x4-360003.12"></a>Parabola and Sine Path Construction</h4>
-<!--l. 582--><p class="noindent">Although Karl does not need them for his picture, he is pleased to learn that there are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cos</span></span></span>
-path operations for adding parabolas and sine and cosine curves to the current path. For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span> operation,
-the current point will lie on the parabola as well as the point given after the parabola operation. Consider the
-following example:
-<!--l. 589--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-25-" ><colgroup id="TBL-25-1g"><col
-id="TBL-25-1"><col
-id="TBL-25-2"></colgroup><tr
- valign="baseline" id="TBL-25-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-25-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-26.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-25-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 593--><p class="indent"> It is also possible to place the bend somewhere else:
-<!--l. 595--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-26-" ><colgroup id="TBL-26-1g"><col
-id="TBL-26-1"><col
-id="TBL-26-2"></colgroup><tr
- valign="baseline" id="TBL-26-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-26-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-27.svg" width="9.53328 " height="22.86656 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-26-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[x=1pt,y=1pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;bend</span><span
-class="cmtt-8">&nbsp;(4,16)</span><span
-class="cmtt-8">&nbsp;(6,12);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 599--><p class="indent"> The operations <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cos</span></span></span> add a sine or cosine curve in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2] such that the previous
-current point is at the start of the curve and the curve ends at the given end point. Here are two
-examples:
-<!--l. 603--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-27-" ><colgroup id="TBL-27-1g"><col
-id="TBL-27-1"><col
-id="TBL-27-2"></colgroup><tr
- valign="baseline" id="TBL-27-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-27-1-1"
-class="td11"> &nbsp;A sine <object data="pgfmanual-28.svg" width="10.54623 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> curve.&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-27-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">A</span><span
-class="cmtt-8">&nbsp;sine</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[x=1ex,y=1ex]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1.57,1);</span><span
-class="cmtt-8">&nbsp;curve.</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 607--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-28-" ><colgroup id="TBL-28-1g"><col
-id="TBL-28-1"><col
-id="TBL-28-2"></colgroup><tr
- valign="baseline" id="TBL-28-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-28-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-29.svg" width="37.58502 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-28-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[x=1.57ex,y=1ex]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(4,0)</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;</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;</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;</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;(0,1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(4,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 614--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.13 </span> <a
- id="x4-370003.13"></a>Filling and Drawing</h4>
-<!--l. 616--><p class="noindent">Returning to the picture, Karl now wants the angle to be &#8220;filled&#8221; with a very light green. For this he uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span>
-instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span>. Here is what Karl does:
-
-
-<!--l. 620--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-29-" ><colgroup id="TBL-29-1g"><col
-id="TBL-29-1"><col
-id="TBL-29-2"></colgroup><tr
- valign="baseline" id="TBL-29-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-29-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-30.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-29-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[green!20!white]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</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. 631--><p class="indent"> The color <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">green!20!white</span></span></span> means 20% green and 80% white mixed together. Such color expression are possible
-since <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 Uwe Kern&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> package, see the documentation of that package for details on color
-expressions.
-<!--l. 636--><p class="indent"> What would have happened, if Karl had not &#8220;closed&#8221; the path using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(0,0)</span></span></span> at the end? In this case, the path
-is closed automatically, so this could have been omitted. Indeed, it would even have been better to write the
-following, instead:
-<!--l. 640--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-30-" ><colgroup id="TBL-30-1g"><col
-id="TBL-30-1"></colgroup><tr
- valign="baseline" id="TBL-30-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-30-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[green!20!white]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 643--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--cycle</span></span></span> causes the current path to be closed (actually the current part of the current path) by smoothly
-joining the first and last point. To appreciate the difference, consider the following example:
-<!--l. 648--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-31-" ><colgroup id="TBL-31-1g"><col
-id="TBL-31-1"><col
-id="TBL-31-2"></colgroup><tr
- valign="baseline" id="TBL-31-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-31-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-31.svg" width="121.47717 " height="61.23857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-31-1-2"
-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=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</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</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;higher</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 656--><p class="indent"> You can also fill and draw a path at the same time using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> command. This will first draw the path,
-then fill it. This may not seem too useful, but you can specify different colors to be used for filling and for stroking.
-These are specified as optional arguments like this:
-<!--l. 662--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-32-" ><colgroup id="TBL-32-1g"><col
-id="TBL-32-1"><col
-id="TBL-32-2"></colgroup><tr
- valign="baseline" id="TBL-32-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-32-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-32.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-32-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20!white,</span><span
-class="cmtt-8">&nbsp;draw=green!50!black]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 676--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.14 </span> <a
- id="x4-380003.14"></a>Shading</h4>
-<!--l. 678--><p class="noindent">Karl briefly considers the possibility of making the angle &#8220;more fancy&#8221; by <span
-class="cmti-10">shading </span>it. Instead of filling the with a
-uniform color, a smooth transition between different colors is used. For this, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shadedraw</span></span></span>, for shading
-and drawing at the same time, can be used:
-
-
-<!--l. 684--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-33-" ><colgroup id="TBL-33-1g"><col
-id="TBL-33-1"><col
-id="TBL-33-2"></colgroup><tr
- valign="baseline" id="TBL-33-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-33-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-33.svg" width="133.77895 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-33-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\shade</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3,0.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 687--><p class="indent"> The default shading is a smooth transition from gray to white. To specify different colors, you can use
-options:
-<!--l. 690--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-34.svg" width="361.40002 " height="41.07018 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-34-" ><colgroup id="TBL-34-1g"><col
-id="TBL-34-1"></colgroup><tr
- valign="baseline" id="TBL-34-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-34-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[rounded</span><span
-class="cmtt-8">&nbsp;corners,ultra</span><span
-class="cmtt-8">&nbsp;thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[top</span><span
-class="cmtt-8">&nbsp;color=yellow,bottom</span><span
-class="cmtt-8">&nbsp;color=black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[left</span><span
-class="cmtt-8">&nbsp;color=yellow,right</span><span
-class="cmtt-8">&nbsp;color=black]</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shadedraw[inner</span><span
-class="cmtt-8">&nbsp;color=yellow,outer</span><span
-class="cmtt-8">&nbsp;color=black,draw=yellow]</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=green]</span><span
-class="cmtt-8">&nbsp;(9,.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 699--><p class="indent"> For Karl, the following might be appropriate:
-<!--l. 701--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-35-" ><colgroup id="TBL-35-1g"><col
-id="TBL-35-1"><col
-id="TBL-35-2"></colgroup><tr
- valign="baseline" id="TBL-35-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-35-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-35.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-35-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shadedraw[left</span><span
-class="cmtt-8">&nbsp;color=gray,right</span><span
-class="cmtt-8">&nbsp;color=green,</span><span
-class="cmtt-8">&nbsp;draw=green!50!black]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 713--><p class="indent"> However, he wisely decides that shadings usually only distract without adding anything to the
-picture.
-<!--l. 717--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.15 </span> <a
- id="x4-390003.15"></a>Specifying Coordinates</h4>
-<!--l. 719--><p class="noindent">Karl now wants to add the sine and cosine lines. He knows already that he can use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option to set the
-lines&#8217;s colors. So, what is the best way to specify the coordinates?
-<!--l. 723--><p class="indent"> There are different ways of specifying coordinates. The easiest way is to say something like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(10pt,2cm)</span></span></span>. This
-means 10pt in <span
-class="cmmi-10">x</span>-direction and 2cm in <span
-class="cmmi-10">y</span>-directions. Alternatively, you can also leave out the units as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,2)</span></span></span>, which
-means &#8220;one times the current <span
-class="cmmi-10">x</span>-vector plus twice the current <span
-class="cmmi-10">y</span>-vector.&#8221; These vectors default to 1cm in the
-<span
-class="cmmi-10">x</span>-direction and 1cm in the <span
-class="cmmi-10">y</span>-direction, respectively.
-<!--l. 730--><p class="indent"> In order to specify points in polar coordinates, use the notation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>, which means 1cm in direction 30
-degree. This is obviously quite useful to &#8220;get to the point (cos30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup><span
-class="cmmi-10">,</span>sin30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>) on the circle.&#8221;
-<!--l. 735--><p class="indent"> You can add a single <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span> sign in front of a coordinate or two of them as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+(1cm,0cm)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++(0cm,2cm)</span></span></span>. Such
-coordinates are interpreted differently: The first form means &#8220;1cm upwards from the previous specified position&#8221;
-and the second means &#8220;2cm to the right of the previous specified position, making this the new specified position.&#8221;
-For example, we can draw the sine line as follows:
-
-
-<!--l. 742--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-36-" ><colgroup id="TBL-36-1g"><col
-id="TBL-36-1"><col
-id="TBL-36-2"></colgroup><tr
- valign="baseline" id="TBL-36-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-36-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-36.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-36-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</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. 755--><p class="indent"> Karl used the fact sin30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> = 1<span
-class="cmmi-10">/</span>2. However, he very much doubts that his students know this, so it
-would be nice to have a way of specifying &#8220;the point straight down from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span> that lies on the
-<span
-class="cmmi-10">x</span>-axis.&#8221; This is, indeed, possible using a special syntax: Karl can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm</span><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;0,0)</span></span></span>. In general, the
-meaning of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">p</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">q</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> is &#8220;the intersection of a vertical line through <span
-class="cmmi-10">p </span>and a horizontal line through
-<span
-class="cmmi-10">q</span>.&#8221;
-<!--l. 763--><p class="indent"> Next, let us draw the cosine line. One way would be to say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm</span><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(0,0)</span></span></span>. Another way is the
-following: we &#8220;continue&#8221; from where the sine ends:
-<!--l. 767--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-37-" ><colgroup id="TBL-37-1g"><col
-id="TBL-37-1"><col
-id="TBL-37-2"></colgroup><tr
- valign="baseline" id="TBL-37-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-37-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-37.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-37-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,-0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[blue,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;++(0,-0.5)</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. 781--><p class="indent"> Note the there is no <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+(0,-0.5)</span></span></span>. In detail, this path is interpreted as follows: &#8220;First,
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span> tells me to move by pen to (cos30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup><span
-class="cmmi-10">,</span>1<span
-class="cmmi-10">/</span>2). Next, there comes another coordinate specification, so I
-move my pen there without drawing anything. This new point is half a unit down from the last position, thus it is at
-(cos30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup><span
-class="cmmi-10">,</span>0). Finally, I move the pen to the origin, but this time drawing something (because of the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>).&#8221;
-<!--l. 789--><p class="indent"> To appreciate the difference between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++</span></span></span> consider the following example:
-<!--l. 792--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-38-" ><colgroup id="TBL-38-1g"><col
-id="TBL-38-1"><col
-id="TBL-38-2"></colgroup><tr
- valign="baseline" id="TBL-38-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-38-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-38.svg" width="96.37543 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-38-1-2"
-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;\def\rectanglepath{--</span><span
-class="cmtt-8">&nbsp;++(1cm,0cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0cm,1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-1cm,0cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;\rectanglepath;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;\rectanglepath;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 800--><p class="indent"> By comparison, when using a single <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span>, the coordinates are different:
-
-
-<!--l. 802--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-39-" ><colgroup id="TBL-39-1g"><col
-id="TBL-39-1"><col
-id="TBL-39-2"></colgroup><tr
- valign="baseline" id="TBL-39-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-39-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-39.svg" width="96.37543 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-39-1-2"
-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;\def\rectanglepath{--</span><span
-class="cmtt-8">&nbsp;+(1cm,0cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1cm,1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0cm,1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;\rectanglepath;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;\rectanglepath;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 811--><p class="indent"> Naturally, all of this could have been written more clearly and more economically like this (either with a single of
-a double <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span>):
-<!--l. 813--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-40-" ><colgroup id="TBL-40-1g"><col
-id="TBL-40-1"><col
-id="TBL-40-2"></colgroup><tr
- valign="baseline" id="TBL-40-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-40-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-40.svg" width="96.37543 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-40-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 819--><p class="indent"> Karl is left with the line for tan<span
-class="cmmi-10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></span>, which seems difficult to specify using transformations and polar
-coordinates. For this he needs another way of specifying coordinates: Karl can specify intersections of lines as
-coordinates. The line for tan<span
-class="cmmi-10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /> </span>starts at (1<span
-class="cmmi-10">,</span>0) and goes upward to a point that is at the intersection of a
-line going &#8220;up&#8221; and a line going from the origin through <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>. The syntax for this point is the
-following:
-<!--l. 827--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-41-" ><colgroup id="TBL-41-1g"><col
-id="TBL-41-1"></colgroup><tr
- valign="baseline" id="TBL-41-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-41-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\draw[very</span><span
-class="cmtt-8">&nbsp;thick,orange]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;1,0--1,1</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;0,0--30:1cm);</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 831--><p class="indent"> In the following, two final examples of how to use relative positioning are presented. Note that
-the transformation options, which are explained later, are often more useful for shifting than relative
-positioning.
-<!--l. 836--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-42-" ><colgroup id="TBL-42-1g"><col
-id="TBL-42-1"><col
-id="TBL-42-2"></colgroup><tr
- valign="baseline" id="TBL-42-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-42-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-41.svg" width="96.37543 " height="42.35689 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-42-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=0.5]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(90:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(90:360:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(60:5pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(30:90:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;+(0:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(72:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(144:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(216:1cm)</span><span
-class="cmtt-8">&nbsp;--</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;</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;+(288:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 848--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.16 </span> <a
- id="x4-400003.16"></a>Adding Arrow Tips</h4>
-<!--l. 850--><p class="noindent">Karl now wants to add the little arrow tips at the end of the axes. He has noticed that in many plots, even in
-scientific journals, these arrow tips seem to missing, presumably because the generating programs cannot produce
-them. Karl thinks arrow tips belong at the end of axes. His son agrees. His students do not care about arrow
-tips.
-<!--l. 856--><p class="indent"> It turns out that adding arrow tips is pretty easy: Karl adds the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-&gt;</span></span></span> to the drawing commands for the
-axes:
-
-
-<!--l. 859--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-43-" ><colgroup id="TBL-43-1g"><col
-id="TBL-43-1"><col
-id="TBL-43-2"></colgroup><tr
- valign="baseline" id="TBL-43-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-43-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-42.svg" width="137.57399 " height="195.61504 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-43-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,1.51);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,-0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[blue,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;++(0,-0.5)</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[orange,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;1,0--1,1</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;0,0--30:1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 874--><p class="indent"> If Karl had used the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;-</span></span></span> instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-&gt;</span></span></span>, arrow tips would have been put at the beginning of the path. The
-option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;-&gt;</span></span></span> puts arrow tips at both ends of the path.
-<!--l. 878--><p class="indent"> There are certain restrictions to the kind of paths to which arrow tips can be added. As a rule of thumb, you can
-add arrow tips only to a single open &#8220;line.&#8221; For example, you should not try to add tips to, say, a rectangle or a
-circle. (You can try, but no guarantees as to what will happen now or in future versions.) However,
-you can add arrow tips to curved paths and to paths that have several segments, as in the following
-examples:
-<!--l. 886--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-44-" ><colgroup id="TBL-44-1g"><col
-id="TBL-44-1"><col
-id="TBL-44-2"></colgroup><tr
- valign="baseline" id="TBL-44-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-44-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-43.svg" width="96.37546 " height="14.8666 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-44-1-2"
-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</span><span
-class="cmtt-8">&nbsp;[&lt;-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:30:10pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[&lt;-&gt;]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5cm,10pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2cm,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2.5cm,10pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 893--><p class="indent"> Karl has a more detailed look at the arrow that Ti<span
-class="cmti-10">k</span>Z&nbsp;puts at the end. It looks like this when he zooms it: <object data="pgfmanual-44.svg" width="14.33328 " height="6.74069 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
-The shape seems vaguely familiar and, indeed, this is exactly the end of <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s standard arrow used in something
-like <span
-class="cmmi-10">f</span> : <span
-class="cmmi-10">A </span><span
-class="cmsy-10"><img
-src="cmsy10-21.png" alt="--&gt;" class="10x-x-21" /> </span><span
-class="cmmi-10">B</span>.
-<!--l. 901--><p class="indent"> Karl likes the arrow, especially since it is not &#8220;as thick&#8221; as the arrows offered by many other packages.
-However, he expects that, sometimes, he might need to use some other kinds of arrow. To do so, Karl
-can say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">right arrow tip kind</span><span
-class="cmsy-10">&gt;</span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">right arrow tip kind</span><span
-class="cmsy-10">&gt; </span>is a special arrow tip specification. For
-example, if Karl says <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=stealth</span></span></span>, then he tells Ti<span
-class="cmti-10">k</span>Z&nbsp;that he would like &#8220;stealth-fighter-like&#8221; arrow
-tips:
-<!--l. 909--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-45-" ><colgroup id="TBL-45-1g"><col
-id="TBL-45-1"><col
-id="TBL-45-2"></colgroup><tr
- valign="baseline" id="TBL-45-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-45-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-45.svg" width="96.90878 " height="15.93324 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-45-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[&gt;=stealth]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:30:10pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[&lt;&lt;-,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5cm,10pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2cm,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2.5cm,10pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 916--><p class="indent"> Karl wonders whether such a military name for the arrow type is really necessary. He is not really mollified when
-his son tells him that Microsoft&#8217;s PowerPoint uses the same name. He decides to have his students discuss this at
-some point.
-<!--l. 921--><p class="indent"> In addition to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">stealth</span></span></span> there are several other predefined arrow tip kinds Karl can choose from, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-16000014.1">14.1<!--tex4ht:ref: section-library-arrows --></a>.
-Furthermore, he can define arrows types himself, if he needs new ones.
-<!--l. 929--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.17 </span> <a
- id="x4-410003.17"></a>Scoping</h4>
-<!--l. 931--><p class="noindent">Karl saw already that there are numerous graphic options that affect how paths are rendered. Often, he would like
-to apply certain options to a whole set of graphic commands. For example, Karl might wish to draw three paths
-
-
-using a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thick</span></span></span> pen, but would like everything else to be drawn &#8220;normally.&#8221;
-<!--l. 937--><p class="indent"> If Karl wishes to set a certain graphic option for the whole picture, he can simply pass this option to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span></span></span>
-command or to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment (Gerda would pass the options to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzpicture</span></span></span>).
-However, if Karl wants to apply graphic options to a local group, he put these commands inside a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment (Gerda uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\scope</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endscope</span></span></span>). This environment takes graphic options as
-an optional argument and these options apply to everything inside the scope, but not to anything
-outside.
-<!--l. 946--><p class="indent"> Here is an example:
-<!--l. 948--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-46-" ><colgroup id="TBL-46-1g"><col
-id="TBL-46-1"><col
-id="TBL-46-2"></colgroup><tr
- valign="baseline" id="TBL-46-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-46-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-46.svg" width="116.94386 " height="41.07018 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-46-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[ultra</span><span
-class="cmtt-8">&nbsp;thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</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;\begin{scope}[thin]</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;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</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;\draw</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 959--><p class="indent"> Scoping has another interesting effect: Any changes to the clipping area are local to the scope. Thus, if you say
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> somewhere inside a scope, the effect of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command ends at the end of the scope. This is useful since
-there is no other way of &#8220;enlarging&#8221; the clipping area.
-<!--l. 965--><p class="indent"> Karl has also already seen that giving options to commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> apply only to that command. In turns
-out that the situation is slightly more complex. First, options to a command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> are not really
-options to the command, but they are &#8220;path options&#8221; and can be given anywhere on the path. So,
-instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw[thin]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1,0);</span></span></span> one can also write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;[thin]</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1,0);</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1,0)</span><span
-class="cmtt-10">&nbsp;[thin];</span></span></span>; all of these have the same effect. This might seem strange since in the last case, it
-would appear that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> should take effect only &#8220;after&#8221; the line from (0<span
-class="cmmi-10">,</span>0) to (1<span
-class="cmmi-10">,</span>0) has been draw. However,
-most graphic options only apply to the whole path. Indeed, if you say both <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thick</span></span></span> on the same path, the
-last option given will &#8220;win.&#8221;
-<!--l. 979--><p class="indent"> When reading the above, Karl notices that only &#8220;most&#8221; graphic options apply to the whole path. Indeed, all
-transformation options do <span
-class="cmti-10">not </span>apply to the whole path, but only to &#8220;everything following them on the path.&#8221; We
-will have a more detailed look at this in a moment. Nevertheless, all options given during a path construction apply
-only to this path.
-<!--l. 988--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.18 </span> <a
- id="x4-420003.18"></a>Transformations</h4>
-<!--l. 990--><p class="noindent">When you specify a coordinate like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,1cm)</span></span></span>, where is that coordinate placed on the page? To determine the
-position, Ti<span
-class="cmti-10">k</span>Z, <span class="TEX">T<span
-class="E">E</span>X</span>, and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>or PostScript all apply certain transformations to the given coordinate in order to
-determine the finally position on the page.
-<!--l. 996--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;provides numerous options that allow you to transform coordinates in <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 private coordinate system. For
-example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xshift</span></span></span> option allows you to shift all subsequent points by a certain amount:
-<!--l. 1001--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-47-" ><colgroup id="TBL-47-1g"><col
-id="TBL-47-1"><col
-id="TBL-47-2"></colgroup><tr
- valign="baseline" id="TBL-47-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-47-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-47.svg" width="4.19997 " height="20.50172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-47-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0.5)</span><span
-class="cmtt-8">&nbsp;[xshift=2pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0.5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1005--><p class="indent"> It is important to note that you can change transformation &#8220;in the middle of a path,&#8221; a feature that is
-not supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript. The reason is that <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;keeps track of its own transformation
-matrix.
-<!--l. 1010--><p class="indent"> Here is a more complicated example:
-<!--l. 1011--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-48-" ><colgroup id="TBL-48-1g"><col
-id="TBL-48-1"><col
-id="TBL-48-2"></colgroup><tr
- valign="baseline" id="TBL-48-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-48-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-48.svg" width="56.17422 " height="56.17422 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-48-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[even</span><span
-class="cmtt-8">&nbsp;odd</span><span
-class="cmtt-8">&nbsp;rule,rounded</span><span
-class="cmtt-8">&nbsp;corners=2pt,x=10pt,y=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</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;[xshift=5pt,yshift=5pt]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</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;</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;</span><span
-class="cmtt-8">&nbsp;[rotate=30]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(-1,-1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 1019--><p class="indent"> The most useful transformations are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xshift</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">yshift</span></span></span> for shifting, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shift</span></span></span> for shifting to a given point as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shift={(1,0)}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shift={+(0,0)}</span></span></span> (the braces are necessary so that <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not mistake the comma for
-separating options), <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rotate</span></span></span> for rotating by a certain angle (there is also a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rotate</span><span
-class="cmtt-10">&nbsp;around</span></span></span> for rotating around a
-given point), <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale</span></span></span> for scaling by a certain factor, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xscale</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">yscale</span></span></span> for scaling only in the <span
-class="cmmi-10">x</span>- or <span
-class="cmmi-10">y</span>-direction
-(<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xscale=-1</span></span></span> is a flip), and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xslant</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">yslant</span></span></span> for slanting. If these transformation and those that I have not
-mentioned are not sufficient, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cm</span></span></span> option allows you to apply an arbitrary transformation matrix. Karl&#8217;s students,
-by the way, do not know what a transformation matrix is.
-<!--l. 1034--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.19 </span> <a
- id="x4-430003.19"></a>Repeating Things: For-Loops</h4>
-<!--l. 1036--><p class="noindent">Karl&#8217;s next aim is to add little ticks on the axes at positions <span
-class="cmsy-10">-</span>1, <span
-class="cmsy-10">-</span>1<span
-class="cmmi-10">/</span>2, 1<span
-class="cmmi-10">/</span>2, and 1. For this, it would be nice to
-use some kind of &#8220;loop,&#8221; especially since he wishes to do the same thing at each of these positions.
-There are different packages for doing this. <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;has its own internal command for this, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pstricks</span></span></span>
-comes along with the powerful <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\mulitdo</span></span></span> command. All of these can be used together with <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and
-Ti<span
-class="cmti-10">k</span>Z, so if you are familiar with them, feel free to use them. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;introduces yet another command,
-called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span>, which I introduced since I could never remember the syntax of the other packages.
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> is defined in the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgffor</span></span></span> and can be used independently of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. Ti<span
-class="cmti-10">k</span>Z&nbsp;includes it
-automatically.
-<!--l. 1048--><p class="indent"> In its basic form, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> command is easy to use:
-<!--l. 1049--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-49-" ><colgroup id="TBL-49-1g"><col
-id="TBL-49-1"><col
-id="TBL-49-2"></colgroup><tr
- valign="baseline" id="TBL-49-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-49-1-1"
-class="td11"> &nbsp;<span
-class="cmmi-10">x </span>= 1, <span
-class="cmmi-10">x </span>= 2, <span
-class="cmmi-10">x </span>= 3, &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-49-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3}</span><span
-class="cmtt-8">&nbsp;{$x</span><span
-class="cmtt-8">&nbsp;=\x$,</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1053--><p class="indent"> The general syntax is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variable</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list of values</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>. Inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>, the
-<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variable</span><span
-class="cmsy-10">&gt; </span>will be assigned to the different values. If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>do not start with a brace, everything up to the
-next semicolon is used as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>.
-<!--l. 1059--><p class="indent"> For Karl and the ticks on the axes, he could use the following code:
-<!--l. 1061--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-50-" ><colgroup id="TBL-50-1g"><col
-id="TBL-50-1"><col
-id="TBL-50-2"></colgroup><tr
- valign="baseline" id="TBL-50-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-50-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-49.svg" width="137.57399 " height="195.61504 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-50-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,1.51);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1cm,-0.5cm,1cm}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x,-1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x,1pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1cm,-0.5cm,0.5cm,1cm}</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;\draw</span><span
-class="cmtt-8">&nbsp;(-1pt,\y)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1pt,\y);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1078--><p class="indent"> As a matter of fact, there are many different ways of creating the ticks. For example, Karl could have put the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;...;</span></span></span> inside curly braces. He could also have used, say,
-<!--l. 1081--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-51-" ><colgroup id="TBL-51-1g"><col
-id="TBL-51-1"></colgroup><tr
- valign="baseline" id="TBL-51-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-51-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,-0.5,1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=\x</span><span
-class="cmtt-8">&nbsp;cm]</span><span
-class="cmtt-8">&nbsp;(0pt,-1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,1pt);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1086--><p class="indent"> Karl is curious what would happen in a more complicated situation where there are, say, 20 ticks. It seems
-bothersome to explicitly mention all these numbers in the set for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span>. Indeed, it is possible to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> inside
-
-
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement to iterate over a large number of values (which must, however, be dimensionless real
-numbers) as in the following example:
-<!--l. 1093--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-50.svg" width="373.31393 " height="31.88232 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-52-" ><colgroup id="TBL-52-1g"><col
-id="TBL-52-1"></colgroup><tr
- valign="baseline" id="TBL-52-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-52-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,10}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.4cm);</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1098--><p class="indent"> If you provide <span
-class="cmti-10">two </span>numbers before the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span>, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement will use their difference for the
-stepping:
-<!--l. 1101--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-53-" ><colgroup id="TBL-53-1g"><col
-id="TBL-53-1"><col
-id="TBL-53-2"></colgroup><tr
- valign="baseline" id="TBL-53-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-53-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-51.svg" width="77.40701 " height="4.19997 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-53-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,-0.5,...,1}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,-1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,1pt);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1106--><p class="indent"> We can also nest loops to create interesting effects:
-<!--l. 1108--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-52.svg" width="456.77545 " height="191.21753 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-54-" ><colgroup id="TBL-54-1g"><col
-id="TBL-54-1"></colgroup><tr
- valign="baseline" id="TBL-54-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-54-1-1"
-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;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,...,5,7,8,...,12}</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;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,5}</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>
-<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;\draw</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;+(-.5,-.5)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;++(.5,.5);</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;node{\x,\y};</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1119--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement can do even trickier stuff, but the above gives the idea.
-<!--l. 1125--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.20 </span> <a
- id="x4-440003.20"></a>Adding Text</h4>
-<!--l. 1127--><p class="noindent">Karl is, by now, quite satisfied with the picture. However, the most important parts, namely the labels, are still
-missing!
-<!--l. 1130--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;offers an easy-to-use and powerful system for adding text and, more generally, complex shapes to a
-picture at specific positions. The basic idea is the following: When Ti<span
-class="cmti-10">k</span>Z&nbsp;is constructing a path and
-encounters the keyword <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> in the middle of a path, it reads a <span
-class="cmti-10">node specification</span>. The keyword <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> is
-typically followed by some options and then some text between curly braces. This text is put inside a
-normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box (if the node specification directly follows a coordinate, which is usually the case,
-Ti<span
-class="cmti-10">k</span>Z&nbsp;is able to perform some magic so that it is even possible to use verbatim text inside the boxes)
-and then placed at the current position, that is, at the last specified position (possibly shifted a bit,
-according to the given options). However, all nodes are drawn only after the path has been completely
-drawn/filled/shaded/clipped/whatever.
-<!--l. 1144--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-55-" ><colgroup id="TBL-55-1g"><col
-id="TBL-55-1"><col
-id="TBL-55-2"></colgroup><tr
- valign="baseline" id="TBL-55-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-55-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-53.svg" width="137.2315 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-55-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;[fill=examplefill]</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;{Text</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;\verb!node</span><span
-class="cmtt-8">&nbsp;1!}</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;(1.5,1.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{Text</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;\verb!node</span><span
-class="cmtt-8">&nbsp;2!};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 1153--><p class="indent"> Obviously, Karl would not only like to place nodes <span
-class="cmti-10">on </span>the last specified position, but also to the left or the
-right of these positions. For this, every node object that you put in your picture is equipped with
-several <span
-class="cmti-10">anchors</span>. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> anchor is in the middle at the upper end of the shape, the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span> anchor is at the bottom and the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor is in the upper right corner. When you
-given the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span></span></span>, the text will be placed such that this northern anchor will lie on the
-current position and the text is, thus, below the current position. Karl uses this to draw the ticks as
-follows:
-<!--l. 1164--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-56-" ><colgroup id="TBL-56-1g"><col
-id="TBL-56-1"><col
-id="TBL-56-2"></colgroup><tr
- valign="baseline" id="TBL-56-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-56-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-54.svg" width="137.57393 " height="195.61504 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-56-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.6,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0.6,1.51);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,-0.5,1}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,-1pt)</span><span
-class="cmtt-8">&nbsp;node[anchor=north]</span><span
-class="cmtt-8">&nbsp;{$\x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,-0.5,0.5,1}</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;\draw</span><span
-class="cmtt-8">&nbsp;(1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;node[anchor=east]</span><span
-class="cmtt-8">&nbsp;{$\y$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1180--><p class="indent"> This is quite nice, already. Using these anchors, Karl can now add most of the other text elements. However,
-Karl thinks that, though &#8220;correct,&#8221; it is quite counter-intuitive that in order to place something <span
-class="cmti-10">below </span>a given point,
-he has to use the <span
-class="cmti-10">north </span>anchor. For this reason, there is an option called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">below</span></span></span>, which does the same as
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span></span></span>. Similarly, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">above</span><span
-class="cmtt-10">&nbsp;right</span></span></span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=south</span><span
-class="cmtt-10">&nbsp;east</span></span></span>. In addition, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">below</span></span></span> takes an
-optional dimension argument. If given, the shape will additionally be shifted downwards by the given
-amount. So, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">below=1pt</span></span></span> can be used to put a text label below some point and, additionally shift it 1pt
-downwards.
-<!--l. 1192--><p class="indent"> Karl is not quite satisfied with the ticks. He would like to have 1<span
-class="cmmi-10">/</span>2 or <img
-src="pgfmanual9x.gif" alt="12" class="frac" align="middle"> shown instead of 0<span
-class="cmmi-10">.</span>5, partly
-to show off the nice capabilities of <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z, partly because for positions like 1<span
-class="cmmi-10">/</span>3 or <span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" /> </span>it is
-certainly very much preferable to have the &#8220;mathematical&#8221; tick there instead of just the &#8220;numeric&#8221;
-tick. His students, on the other hand, prefer 0<span
-class="cmmi-10">.</span>5 over 1<span
-class="cmmi-10">/</span>2 since they are not too fond of fractions in
-general.
-<!--l. 1200--><p class="indent"> Karl now faces a problem: For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement, the position <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span></span></span> should still be given as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> since
-Ti<span
-class="cmti-10">k</span>Z&nbsp;will not know where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\frac{1}{2}</span></span></span> is supposed to be. On the other hand, the typeset text should really be
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\frac{1}{2}</span></span></span>. To solve this problem, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> offers a special syntax: Instead of having one variable <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span></span></span>, Karl can
-specify two (or even more) variables separated by a slash as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span><span
-class="cmtt-10">&nbsp;/</span><span
-class="cmtt-10">&nbsp;\xtext</span></span></span>. Then, the elements in the set over
-which <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> iterates must also be of the form <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</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">second</span><span
-class="cmsy-10">&gt;</span>. In each iteration, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span></span></span> will be set to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt; </span>and
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\xtext</span></span></span> will be set to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second</span><span
-class="cmsy-10">&gt;</span>. If no <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second</span><span
-class="cmsy-10">&gt; </span>is given, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt; </span>will be used again. So, here is the new code for the
-ticks:
-
-
-<!--l. 1212--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-57-" ><colgroup id="TBL-57-1g"><col
-id="TBL-57-1"><col
-id="TBL-57-2"></colgroup><tr
- valign="baseline" id="TBL-57-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-57-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-55.svg" width="137.57393 " height="195.61504 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-57-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.6,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0.6,1.51);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-0.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,-1pt)</span><span
-class="cmtt-8">&nbsp;node[anchor=north]</span><span
-class="cmtt-8">&nbsp;{$\xtext$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y/\ytext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-0.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;0.5/\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</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;\draw</span><span
-class="cmtt-8">&nbsp;(1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;node[anchor=east]</span><span
-class="cmtt-8">&nbsp;{$\ytext$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1228--><p class="indent"> Karl is quite pleased with the result, but his son points out that this is still not perfectly satisfactory: The grid
-and the circle interfere with the numbers and decrease their legibility. Karl is not very concerned by this (his
-students do not even notice), but his son insists that there is an easy solution: Karl can add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[fill=white]</span></span></span>
-option to fill out the background of the text shape with a white color.
-<!--l. 1236--><p class="indent"> The next thing Karl wants to do is to add the labels like sin<span
-class="cmmi-10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></span>. For this, he would like to place a label &#8220;in the
-middle of line.&#8221; To do so, instead of specifying the label <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span><span
-class="cmtt-10">&nbsp;{$\sin\alpha$}</span></span></span> directly after one of the endpoints of
-the line (which would place the label at that endpoint), Karl can give the label directly after the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>,
-before the coordinate. By default, this places the label in the middle of the line, but the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=</span></span></span> options
-can be used to modify this. Also, options like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">near</span><span
-class="cmtt-10">&nbsp;start</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">near</span><span
-class="cmtt-10">&nbsp;end</span></span></span> can be used to modify this
-position:
-<!--l. 1248--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-56.svg" width="456.24216 " height="114.81047 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-58-" ><colgroup id="TBL-58-1g"><col
-id="TBL-58-1"></colgroup><tr
- valign="baseline" id="TBL-58-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-58-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-2,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,0.8);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(x</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(y</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,red]</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;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[left=1pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\sin</span><span
-class="cmtt-8">&nbsp;\alpha$}</span><span
-class="cmtt-8">&nbsp;(30:1cm</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,blue]</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;(30:1cm</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;axis)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[below=2pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\cos</span><span
-class="cmtt-8">&nbsp;\alpha$}</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,orange]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;[right=1pt,fill=white]</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;{$\displaystyle</span><span
-class="cmtt-8">&nbsp;\tan</span><span
-class="cmtt-8">&nbsp;\alpha</span><span
-class="cmtt-8">&nbsp;\color{black}=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\frac{{\color{red}\sin</span><span
-class="cmtt-8">&nbsp;\alpha}}{\color{blue}\cos</span><span
-class="cmtt-8">&nbsp;\alpha}$}</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;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;0,0--30:1cm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;1,0--1,1)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(t);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(t);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-0.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</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;\draw</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,-1pt)</span><span
-class="cmtt-8">&nbsp;node[anchor=north,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\xtext$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y/\ytext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-0.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;0.5/\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</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;\draw</span><span
-class="cmtt-8">&nbsp;(1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;node[anchor=east,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\ytext$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1276--><p class="indent"> You can also position labels on curves and, by adding the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sloped</span></span></span> option, have them rotated such that they
-match the line&#8217;s slope. Here is an example:
-
-
-<!--l. 1280--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-57.svg" width="456.77548 " height="61.69574 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-59-" ><colgroup id="TBL-59-1g"><col
-id="TBL-59-1"></colgroup><tr
- valign="baseline" id="TBL-59-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-59-1-1"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(6,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(9,1)</span><span
-class="cmtt-8">&nbsp;..</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;node[near</span><span
-class="cmtt-8">&nbsp;start,sloped,above]</span><span
-class="cmtt-8">&nbsp;{near</span><span
-class="cmtt-8">&nbsp;start}</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;node</span><span
-class="cmtt-8">&nbsp;{midway}</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;node[very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;end,sloped,below]</span><span
-class="cmtt-8">&nbsp;{very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;end}</span><span
-class="cmtt-8">&nbsp;(12,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1289--><p class="indent"> It remains to draw the explanatory text at the right of the picture. The main difficulty here lies in limiting the
-width of the text &#8220;label,&#8221; which is quite long, so that line breaking is used. Fortunately, Karl can use the option
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span><span
-class="cmtt-10">&nbsp;width=6cm</span></span></span> to get the desired effect. So, here is the full code:
-<!--l. 1295--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-60-" ><colgroup id="TBL-60-1g"><col
-id="TBL-60-1"></colgroup><tr
- valign="baseline" id="TBL-60-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-60-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3,cap=round]</span>
-<br><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;Local</span><span
-class="cmsltt-10x-x-80">&nbsp;definitions</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\def\costhirty{0.8660256}</span>
-<br>
-<br><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;Colors</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorlet{anglecolor}{green!50!black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorlet{sincolor}{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorlet{tancolor}{orange!80!black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorlet{coscolor}{blue}</span>
-<br>
-<br><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;Styles</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{axes}=[]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{important</span><span
-class="cmtt-8">&nbsp;line}=[very</span><span
-class="cmtt-8">&nbsp;thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{information</span><span
-class="cmtt-8">&nbsp;text}=[rounded</span><span
-class="cmtt-8">&nbsp;corners,fill=red!10,inner</span><span
-class="cmtt-8">&nbsp;sep=1ex]</span>
-<br>
-<br><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;The</span><span
-class="cmsltt-10x-x-80">&nbsp;graphic</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines,step=0.5cm]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[style=axes]</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;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$x$}</span><span
-class="cmtt-8">&nbsp;coordinate(x</span><span
-class="cmtt-8">&nbsp;axis);</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;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$y$}</span><span
-class="cmtt-8">&nbsp;coordinate(y</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</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;\draw[xshift=\x</span><span
-class="cmtt-8">&nbsp;cm]</span><span
-class="cmtt-8">&nbsp;(0pt,1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,-1pt)</span><span
-class="cmtt-8">&nbsp;node[below,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\xtext$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y/\ytext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;.5/\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</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;\draw[yshift=\y</span><span
-class="cmtt-8">&nbsp;cm]</span><span
-class="cmtt-8">&nbsp;(1pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-1pt,0pt)</span><span
-class="cmtt-8">&nbsp;node[left,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\ytext$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=anglecolor]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0pt)</span><span
-class="cmtt-8">&nbsp;arc(0:30:3mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(15:2mm)</span><span
-class="cmtt-8">&nbsp;node[anglecolor]</span><span
-class="cmtt-8">&nbsp;{$\alpha$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=important</span><span
-class="cmtt-8">&nbsp;line,sincolor]</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;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[left=1pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\sin</span><span
-class="cmtt-8">&nbsp;\alpha$}</span><span
-class="cmtt-8">&nbsp;(30:1cm</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=important</span><span
-class="cmtt-8">&nbsp;line,coscolor]</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;(30:1cm</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;axis)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[below=2pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\cos</span><span
-class="cmtt-8">&nbsp;\alpha$}</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=important</span><span
-class="cmtt-8">&nbsp;line,tancolor]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[right=1pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{</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;$\displaystyle</span><span
-class="cmtt-8">&nbsp;\tan</span><span
-class="cmtt-8">&nbsp;\alpha</span><span
-class="cmtt-8">&nbsp;\color{black}=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\frac{{\color{sincolor}\sin</span><span
-class="cmtt-8">&nbsp;\alpha}}{\color{coscolor}\cos</span><span
-class="cmtt-8">&nbsp;\alpha}$}</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;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;0,0--30:1cm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;1,0--1,1)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(t);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(t);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=1.85cm]</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;node[right,text</span><span
-class="cmtt-8">&nbsp;width=6cm,style=information</span><span
-class="cmtt-8">&nbsp;text]</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>
-<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;The</span><span
-class="cmtt-8">&nbsp;{\color{anglecolor}</span><span
-class="cmtt-8">&nbsp;angle</span><span
-class="cmtt-8">&nbsp;$\alpha$}</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;$30^\circ$</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;the</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;example</span><span
-class="cmtt-8">&nbsp;($\pi/6$</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;radians).</span><span
-class="cmtt-8">&nbsp;The</span><span
-class="cmtt-8">&nbsp;{\color{sincolor}sine</span><span
-class="cmtt-8">&nbsp;of</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;$\alpha$},</span><span
-class="cmtt-8">&nbsp;which</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;red</span><span
-class="cmtt-8">&nbsp;line,</span><span
-class="cmtt-8">&nbsp;is</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;\[</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\color{sincolor}</span><span
-class="cmtt-8">&nbsp;\sin</span><span
-class="cmtt-8">&nbsp;\alpha}</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;1/2.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\]</span>
-<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;By</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;Theorem</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;Pythagoras</span><span
-class="cmtt-8">&nbsp;...</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 1358--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.21 </span> <a
- id="x4-450003.21"></a>Nodes</h4>
-<!--l. 1360--><p class="noindent">Placing text at a given position is just a special case of a more general underlying mechanism. When you say
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;node{text};</span></span></span>, what actually happens is that a rectangular node, anchored at its center, is put at
-position (0<span
-class="cmmi-10">,</span>0). On top of the rectangular node the text <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> is drawn. Since no action is specified for the rectangle
-(like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span>), the rectangle is actually discarded and only the text is shown. However, by adding
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>, we can make the underlying shape visible. Furthermore, we can <span
-class="cmti-10">change </span>the shape using
-for example <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shape=circle</span></span></span> or just <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>. If we include the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryshapes</span></span></span> we also get
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>:
-<!--l. 1372--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-61-" ><colgroup id="TBL-61-1g"><col
-id="TBL-61-1"><col
-id="TBL-61-2"></colgroup><tr
- valign="baseline" id="TBL-61-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-61-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-58.svg" width="109.37836 " height="127.49754 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-61-1-2"
-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;\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[ellipse,fill=examplefill,draw]</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(h1)</span><span
-class="cmtt-8">&nbsp;{hello</span><span
-class="cmtt-8">&nbsp;world}</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;(0.5,2)</span><span
-class="cmtt-8">&nbsp;node[circle,shade,ball</span><span
-class="cmtt-8">&nbsp;color=examplefill]</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(h2)</span><span
-class="cmtt-8">&nbsp;{hello</span><span
-class="cmtt-8">&nbsp;world};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[-&gt;,shorten</span><span
-class="cmtt-8">&nbsp;&gt;=2pt]</span><span
-class="cmtt-8">&nbsp;(h1.north)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(h2.south);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1382--><p class="indent"> As the above example shows, we can add the a name to a node by putting it in parentheses between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> and
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> (you can also use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span> option). This will make Ti<span
-class="cmti-10">k</span>Z&nbsp;remember your node and all its anchors. You
-can then refer to these anchors when specifying coordinates. The syntax is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</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">anchor</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>. Currently, and
-also in the near future, <span
-class="cmti-10">this will not work across pictures since Ti</span>k<span
-class="cmti-10">Z</span><span
-class="cmti-10">&nbsp;looses track of the positions when it returns</span>
-<span
-class="cmti-10">control to </span><span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span><span
-class="cmti-10">. </span>Magic hackery is possible for certain drivers, but a portable implementation seems impossible (just
-think of a possible <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>driver).
-<!--l. 1393--><p class="indent"> The option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shorten</span><span
-class="cmtt-10">&nbsp;&gt;</span></span></span> causes lines to be shortened by 2pt at the end. Similarly, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shorten</span><span
-class="cmtt-10">&nbsp;&lt;</span></span></span> can be used to
-shorten (or even lengthen) lines at the beginning. This is possible even if no arrow is drawn.
-<!--l. 1397--><p class="indent"> It is not always necessary to specify the anchor. If you do not give an anchor, Ti<span
-class="cmti-10">k</span>Z&nbsp;will try to determine a
-reasonable border anchor by itself (if Ti<span
-class="cmti-10">k</span>Z&nbsp;fails to find anything useful, it will use the center instead). Here is a
-typical example:
-<!--l. 1402--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-59.svg" width="267.09122 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-62-" ><colgroup id="TBL-62-1g"><col
-id="TBL-62-1"></colgroup><tr
- valign="baseline" id="TBL-62-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-62-1-1"
-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;\begin{scope}[shape=circle,minimum</span><span
-class="cmtt-8">&nbsp;size=1cm,fill=examplefill]</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;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw,fill]</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;\node</span><span
-class="cmtt-8">&nbsp;(q_A)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{$q_A$};</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;\node</span><span
-class="cmtt-8">&nbsp;(q_E)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;{$q_E$};</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;\node</span><span
-class="cmtt-8">&nbsp;(q_1)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;{$q_1$};</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;\node</span><span
-class="cmtt-8">&nbsp;(q_2)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(4,2)</span><span
-class="cmtt-8">&nbsp;{$q_2$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(q_A)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(q_1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(q_2)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(q_E);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,shorten</span><span
-class="cmtt-8">&nbsp;&gt;=2pt]</span><span
-class="cmtt-8">&nbsp;(q_A)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(75:1.4cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(105:1.4cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$x$}</span><span
-class="cmtt-8">&nbsp;(q_A);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1416--><p class="indent"> In the example, we used the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\node</span></span></span> command, which is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;node</span></span></span>.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse4.html" >next</a>] [<a
-href="pgfmanualse2.html" >prev</a>] [<a
-href="pgfmanualse2.html#tailpgfmanualse2.html" >prev-tail</a>] [<a
-href="pgfmanualse3.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse3.html" >up</a>] </p></div>
-<!--l. 10--><p class="indent"> <a
- id="tailpgfmanualse3.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse30.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse30.html
deleted file mode 100644
index aa5c9e69513..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse30.html
+++ /dev/null
@@ -1,382 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>30 Layered Graphics</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse31.html" >next</a>] [<a
-href="pgfmanualse29.html" >prev</a>] [<a
-href="pgfmanualse29.html#tailpgfmanualse29.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse30.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse30.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">30 </span> <a
- id="x31-29800030"></a>Layered Graphics</h3>
-<!--l. 12--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox376"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfbaselayers</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx31-298001"></a>
-<a
- id="dx31-298002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox377"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaselayers</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox378"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaselayers</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 13--><p class="noindent">This package provides a commands and environments for composing a picture from multiple layers.
- The package is loaded automatically by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, but you can load it manually if you have only included
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>. </dd></dl>
-<!--l. 21--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">30.1 </span> <a
- id="x31-29900030.1"></a>Overview</h4>
-<!--l. 23--><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;provides a layering mechanism for composing graphics from multiple layers. (This mechanism is not be
-confused with the conceptual &#8220;software layers&#8221; the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system is composed of.) Layers are often used in graphic
-programs. The idea is that you can draw on the different layers in any order. So you might start drawing something
-on the &#8220;background&#8221; layer, then something on the &#8220;foreground&#8221; layer, then something on the &#8220;middle&#8221; layer, and
-then something on the background layer once more, and so on. At the end, no matter in which ordering you drew on
-the different layers, the layers are &#8220;stacked on top of each other&#8221; in a fixed ordering to produce the final
-picture. Thus, anything drawn on the middle layer would come on top of everything of the background
-layer.
-<!--l. 36--><p class="indent"> Normally, you do not need to use different layers since you will have little trouble &#8220;ordering&#8221; your graphic
-commands in such a way that layers are superfluous. However, in certain situations you only &#8220;know&#8221; what you
-should draw behind something else after the &#8220;something else&#8221; has been drawn.
-<!--l. 42--><p class="indent"> For example, suppose you wish to draw a yellow background behind your picture. The background should be as
-large as the bounding box of the picture, plus a little border. If you know the size of the bounding box of the picture
-at its beginning, this is easy to accomplish. However, in general this is not the case and you need to
-create a &#8220;background&#8221; layer in addition to the standard &#8220;main&#8221; layer. Then, at the end of the picture,
-when the bounding box has been established, you can add a rectangle of the appropriate size to the
-picture.
-<!--l. 53--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">30.2 </span> <a
- id="x31-30000030.2"></a>Declaring Layers</h4>
-<!--l. 55--><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>&nbsp;layers are referenced using names. The standard layer, which is a bit special in certain ways, is called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span>.
-If nothing else is specified, all graphic commands are added to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span> layer. You can declare a new layer using the
-following command:
-<!--l. 60--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox379"><span
-class="cmtt-10">\pgfdeclarelayer</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx31-300001"></a>
- <!--l. 61--><p class="noindent">This command declares a layer named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>for later use. Mainly, this will setup some internal
- bookkeeping. </dd></dl>
-
-
-<!--l. 65--><p class="indent"> The next step toward using a layer is 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;which layers will be part of the actual picture
-and which will be their ordering. Thus, it is possible to have more layers declared than are actually
-used.
-<!--l. 70--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox380"><span
-class="cmtt-10">\pgfsetlayers</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layer list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx31-300002"></a>
- <!--l. 71--><p class="noindent">This command, which should be used <span
-class="cmti-10">outside </span>a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment, tells <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;which layers will be
- used in pictures. They are stacked on top of each other in the order given. The layer <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span> should always be
- part of the list. Here is an example:
- <!--l. 76--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-567-" ><colgroup id="TBL-567-1g"><col
-id="TBL-567-1"></colgroup><tr
- valign="baseline" id="TBL-567-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-567-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclarelayer{background}</span>
-<br><span
-class="cmtt-8">\pgfdeclarelayer{foreground}</span>
-<br><span
-class="cmtt-8">\pgfsetlayers{background,main,foreground}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 84--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">30.3 </span> <a
- id="x31-30100030.3"></a>Using Layers</h4>
-<!--l. 86--><p class="noindent">Once the layers of your picture have been declared, you can start to &#8220;fill&#8221; them. As said before, all graphics
-commands are normally added to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span> layer. Using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfonlayer}</span></span></span> environment, you can 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;that
-certain commands should, instead, be added to the given layer.
-<!--l. 92--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox381"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfonlayer</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layer name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox382"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox383"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfonlayer</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx31-301001"></a>
-<a
- id="dx31-301002"></a>
- <!--l. 93--><p class="noindent">The whole <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt; </span>is added to the layer with the name <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layer name</span><span
-class="cmsy-10">&gt;</span>. This environment
- can be used anywhere inside a picture. Thus, even if it is used inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> or a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group,
- the contents will still be added to the &#8220;whole&#8221; picture. Using this environment multiple times inside
- the same picture will cause the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt; </span>to accumulate.
- <!--l. 100--><p class="noindent"><span
-class="cmti-10">Note: </span>You can <span
-class="cmti-10">not </span>add anything to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span> layer using this environment. The only way to add
- anything to the main layer is to give graphic commands outside all <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfonlayer}</span></span></span> environments.
-
-
- <!--l. 105--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-568-" ><colgroup id="TBL-568-1g"><col
-id="TBL-568-1"><col
-id="TBL-568-2"></colgroup><tr
- valign="baseline" id="TBL-568-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-568-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-646.svg" width="76.87369 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-568-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclarelayer{background</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">\pgfdeclarelayer{foreground</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">\pgfsetlayers{background</span><span
-class="cmtt-8">&nbsp;layer,main,foreground</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><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;On</span><span
-class="cmsltt-10x-x-80">&nbsp;main</span><span
-class="cmsltt-10x-x-80">&nbsp;layer:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfonlayer}{background</span><span
-class="cmtt-8">&nbsp;layer}</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;\fill[yellow]</span><span
-class="cmtt-8">&nbsp;(-1,-1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfonlayer}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfonlayer}{foreground</span><span
-class="cmtt-8">&nbsp;layer}</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;\node[white]</span><span
-class="cmtt-8">&nbsp;{foreground};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfonlayer}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfonlayer}{background</span><span
-class="cmtt-8">&nbsp;layer}</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;\fill[black]</span><span
-class="cmtt-8">&nbsp;(-.8,-.8)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(.8,.8);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfonlayer}</span>
-<br>
-<br><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;On</span><span
-class="cmsltt-10x-x-80">&nbsp;main</span><span
-class="cmsltt-10x-x-80">&nbsp;layer</span><span
-class="cmsltt-10x-x-80">&nbsp;again:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[blue!50]</span><span
-class="cmtt-8">&nbsp;(-.5,-1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(.5,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 131--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox384"><span
-class="cmtt-10">\pgfonlayer</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layer name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox385"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox386"><span
-class="cmtt-10">\endpgfonlayer</span></span> </dt><dd
-class="description">
-<a
- id="dx31-301003"></a>
-<a
- id="dx31-301004"></a>
- <!--l. 132--><p class="noindent">This is the plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;version of the environment. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse31.html" >next</a>] [<a
-href="pgfmanualse29.html" >prev</a>] [<a
-href="pgfmanualse29.html#tailpgfmanualse29.html" >prev-tail</a>] [<a
-href="pgfmanualse30.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse30.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse30.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse31.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse31.html
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@@ -1,428 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>31 Quick Commands</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse30.html" >prev</a>] [<a
-href="pgfmanualse30.html#tailpgfmanualse30.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse31.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse31.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">31 </span> <a
- id="x32-30200031"></a>Quick Commands</h3>
-<!--l. 10--><p class="noindent">This section explains the &#8220;quick&#8221; commands of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. These commands are executed more quickly than the normal
-commands of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, but offer less functionality. You should use these commands only if you either have a very large
-number of commands that need to be processed or if you expect your commands to be executed very
-often.
-<!--l. 18--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">31.1 </span> <a
- id="x32-30300031.1"></a>Quick Path Construction Commands</h4>
-<!--l. 20--><p class="noindent">The difference between the quick and the normal path commands is that the quick path commands
- <ul class="itemize1">
- <li class="itemize">do not keep track of the bounding boxes,
- </li>
- <li class="itemize">do not allow you to arc corners,
- </li>
- <li class="itemize">do not apply coordinate transformations.</li></ul>
-<!--l. 31--><p class="indent"> However, they do use the soft-path subsystem (see Section&nbsp;<a
-href="pgfmanualse34.html#x35-32300034">34<!--tex4ht:ref: section-soft-paths --></a> for details), which allows you to mix quick and
-normal path commands arbitrarily.
-<!--l. 35--><p class="indent"> All quick path construction commands start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathq</span></span></span>.
-<!--l. 37--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox387"><span
-class="cmtt-10">\pgfpathqmoveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-303001"></a>
- <!--l. 38--><p class="noindent">Either starts a path or starts a new part of a path at the coordinate (<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmmi-10">,</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y dimension</span><span
-class="cmsy-10">&gt;</span>).
- The coordinate is <span
-class="cmti-10">not </span>transformed by the current coordinate transformation matrix. However, any
- low-level transformations apply.
- <!--l. 43--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-569-" ><colgroup id="TBL-569-1g"><col
-id="TBL-569-1"><col
-id="TBL-569-2"></colgroup><tr
- valign="baseline" id="TBL-569-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-569-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-647.svg" width="115.21054 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-569-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxshift{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqmoveto{0pt}{0pt}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;not</span><span
-class="cmsltt-10x-x-80">&nbsp;transformed</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqlineto{1cm}{1cm}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;not</span><span
-class="cmsltt-10x-x-80">&nbsp;transformed</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 55--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox388"><span
-class="cmtt-10">\pgfpathqlineto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-303002"></a>
- <!--l. 56--><p class="noindent">The quick version of the line-to operation. </dd></dl>
-<!--l. 59--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox389"><span
-class="cmtt-10">\pgfpathqcurveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">x</span></sub><sup><span
-class="cmr-7">1</span></sup><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">y</span></sub><sup><span
-class="cmr-7">1</span></sup><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">x</span></sub><sup><span
-class="cmr-7">2</span></sup><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">y</span></sub><sup><span
-class="cmr-7">2</span></sup><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">t</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">t</span><sub ><span
-class="cmmi-7">y</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-303003"></a>
- <!--l. 60--><p class="noindent">The quick version of the curve-to operation. The first support point is (<span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">x</span></sub><sup><span
-class="cmr-7">1</span></sup><span
-class="cmmi-10">,s</span><sub><span
-class="cmmi-7">y</span></sub><sup><span
-class="cmr-7">1</span></sup>), the second support
- point is (<span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">x</span></sub><sup><span
-class="cmr-7">2</span></sup><span
-class="cmmi-10">,s</span><sub><span
-class="cmmi-7">y</span></sub><sup><span
-class="cmr-7">2</span></sup>), and the target is (<span
-class="cmmi-10">t</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmmi-10">,t</span><sub ><span
-class="cmmi-7">y</span></sub>).
- <!--l. 64--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-570-" ><colgroup id="TBL-570-1g"><col
-id="TBL-570-1"><col
-id="TBL-570-2"></colgroup><tr
- valign="baseline" id="TBL-570-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-570-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-648.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-570-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqmoveto{0pt}{0pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqcurveto{1cm}{1cm}{2cm}{1cm}{3cm}{0cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 74--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox390"><span
-class="cmtt-10">\pgfpathqcircle</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-303004"></a>
- <!--l. 75--><p class="noindent">Adds a radius around the origin of the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span>. This command is orders of magnitude faster
- than <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfcircle{\pgfpointorigin}{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>.
- <!--l. 79--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-571-" ><colgroup id="TBL-571-1g"><col
-id="TBL-571-1"><col
-id="TBL-571-2"></colgroup><tr
- valign="baseline" id="TBL-571-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-571-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-649.svg" width="39.20348 " height="39.20348 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-571-1-2"
-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;(0,0)</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;\pgfpathqcircle{10pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke,fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 91--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">31.2 </span> <a
- id="x32-30400031.2"></a>Quick Path Usage Commands</h4>
-<!--l. 93--><p class="noindent">The quick path usage commands perform similar tasks as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span>, but they
- <ul class="itemize1">
- <li class="itemize">do not add arrows,
- </li>
- <li class="itemize">do not modify the path in any way, in particular,
- </li>
- <li class="itemize">ends are not shortened,
- </li>
- <li class="itemize">corners are not replaced by arcs.</li></ul>
-<!--l. 106--><p class="indent"> Note that you <span
-class="cmti-10">have to </span>use the quick versions in the code of arrow tip definitions since, inside these definition, you
-obviously do not want arrows to be drawn.
-<!--l. 110--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox391"><span
-class="cmtt-10">\pgfusepathqstroke</span></span> </dt><dd
-class="description">
-<a
- id="dx32-304001"></a>
- <!--l. 111--><p class="noindent">Strokes the path without further ado. No arrows are drawn, no corners are arced.
- <!--l. 114--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-572-" ><colgroup id="TBL-572-1g"><col
-id="TBL-572-1"><col
-id="TBL-572-2"></colgroup><tr
- valign="baseline" id="TBL-572-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-572-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-650.svg" width="1.0 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-572-1-2"
-class="td11"><table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqcircle{5pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 122--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox392"><span
-class="cmtt-10">\pgfusepathqfill</span></span> </dt><dd
-class="description">
-<a
- id="dx32-304002"></a>
- <!--l. 123--><p class="noindent">Fills the path without further ado. </dd></dl>
-<!--l. 126--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox393"><span
-class="cmtt-10">\pgfusepathqfillstroke</span></span> </dt><dd
-class="description">
-<a
- id="dx32-304003"></a>
- <!--l. 127--><p class="noindent">Fills and then strokes the path without further ado. </dd></dl>
-<!--l. 130--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox394"><span
-class="cmtt-10">\pgfusepathqclip</span></span> </dt><dd
-class="description">
-<a
- id="dx32-304004"></a>
- <!--l. 131--><p class="noindent">Clips all subsequent drawings against the current path. The path is not processed. </dd></dl>
-<!--l. 136--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">31.3 </span> <a
- id="x32-30500031.3"></a>Quick Text Box Commands</h4>
-<!--l. 138--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox395"><span
-class="cmtt-10">\pgfqbox</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-305001"></a>
- <!--l. 139--><p class="noindent">This command inserts a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box into a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> by &#8220;escaping&#8221; to <span class="TEX">T<span
-class="E">E</span>X</span>, inserting the box
- number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt; </span>at the origin, and then returning to the typesetting the picture. </dd></dl>
-<!--l. 144--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox396"><span
-class="cmtt-10">\pgfqboxsynced</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-305002"></a>
- <!--l. 145--><p class="noindent">This command works similarly to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfqbox</span></span></span> command. However, before inserting the text in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span>
- <span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt;</span>, the current coordinate transformation matrix is applied to the current canvas transformation
- matrix (is it &#8220;synced&#8221; with this matrix, hence the name).
- <!--l. 151--><p class="noindent">Thus, this command basically has the same effect as if you first called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevelsynccm</span></span></span> followed by
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfqbox</span></span></span>. However, this command will use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\hskip</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\raise</span></span></span> commands for the &#8220;translational part&#8221;
- of the coordinate transformation matrix, instead of adding the translational part to the current canvas
- transformation matrix directly. Both methods have the same effect (box <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt; </span>is translated
- where it should), but the method used by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfqboxsynced</span></span></span> ensures that hyperlinks are placed correctly.
- Note that scaling and rotation will not (cannot, even) apply to hyperlinks. </dd></dl>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse30.html" >prev</a>] [<a
-href="pgfmanualse30.html#tailpgfmanualse30.html" >prev-tail</a>] [<a
-href="pgfmanualse31.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse31.html" >up</a>] </p></div>
-<!--l. 273--><p class="indent"> <a
- id="tailpgfmanualse31.html"></a>
-</body></html>
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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>32 Design of the System Layer</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse33.html" >next</a>] [<a
-href="#tailpgfmanualse32.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse32.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">32 </span> <a
- id="x33-30700032"></a>Design of the System Layer</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">32.1 </span> <a
- id="x33-30800032.1"></a>Driver Files</h4>
-<!--l. 15--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system layer mainly consists of a large number of commands starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span>. These commands
-will be called <span
-class="cmti-10">system commands </span>in the following. The higher layers &#8220;interface&#8221; with the system layer by
-calling these commands. The higher layers should never use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span> commands directly or even check
-whether <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pdfoutput</span></span></span> is defined. Instead, all drawing requests should be &#8220;channeled&#8221; through the system
-commands.
-<!--l. 23--><p class="indent"> The system layer is loaded and setup by the following package:
-<!--l. 25--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox397"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfsys</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx33-308001"></a>
-<a
- id="dx33-308002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox398"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfsys</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox399"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfsys</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 26--><p class="noindent">This file provides &#8220;default implementations&#8221; of all system commands, but most simply produce a
- warning that they are not implemented. The actual implementations of the system commands for a
- particular driver like, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> reside in files called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-xxxx.sty</span></span></span>, where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xxxx</span></span></span> is the driver
- name. These will be called <span
-class="cmti-10">driver files </span>in the following.
- <!--l. 33--><p class="noindent">When <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys.sty</span></span></span> is loaded, it will try to determine which driver is used by loading <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.cfg</span></span></span>. This
- file should setup the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> appropriately. The, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys.sty</span></span></span> will input the appropriate
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">drivername</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.sty</span></span></span>. </dd></dl>
-<!--l. 39--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox400"><span
-class="cmtt-10">\pgfsysdriver</span></span> </dt><dd
-class="description">
-<a
- id="dx33-308003"></a>
- <!--l. 40--><p class="noindent">This macro should expand to the name of the driver to be used by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys</span></span></span>. The default from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.cfg</span></span></span>
- is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-\Gin@driver</span></span></span>. This is very likely to be correct if you are using <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>. For plain <span class="TEX">T<span
-class="E">E</span>X</span>, the
- macro will be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-pdftex.def</span></span></span> if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> is used and to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-dvips.def</span></span></span> otherwise. </dd></dl>
-<!--l. 47--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox401">File <span
-class="cmtt-10">pgf.cfg</span></span> </dt><dd
-class="description">
-<a
- id="dx33-308004"></a>
-<a
- id="dx33-308005"></a>
- <!--l. 48--><p class="noindent">This file should setup the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> correctly. If <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> is already set to some
- value, the driver normally should not change it. Otherwise, it should make a &#8220;good guess&#8221; at which
- driver will be appropriate. </dd></dl>
-<!--l. 55--><p class="indent"> The currently supported backend drivers are discussed in Section&nbsp;<a
-href="pgfmanualse5.html#x6-600005.2">5.2<!--tex4ht:ref: section-drivers --></a>.
-
-
-<!--l. 59--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">32.2 </span> <a
- id="x33-30900032.2"></a>Common Definition Files</h4>
-<!--l. 61--><p class="noindent">Some drivers share many <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands. For the reason, files defining these &#8220;common&#8221; commands are
-available. These files are <span
-class="cmti-10">not </span>usable alone.
-<!--l. 65--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox402">File <span
-class="cmtt-10">pgfsys-common-postscript</span></span> </dt><dd
-class="description">
-<a
- id="dx33-309001"></a>
-<a
- id="dx33-309002"></a>
- <!--l. 66--><p class="noindent">This file defines some <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands so that they produce appropriate PostScript code. </dd></dl>
-<!--l. 70--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox403">File <span
-class="cmtt-10">pgfsys-common-pdf</span></span> </dt><dd
-class="description">
-<a
- id="dx33-309003"></a>
-<a
- id="dx33-309004"></a>
- <!--l. 71--><p class="noindent">This file defines some <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands so that they produce appropriate <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>code. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse33.html" >next</a>] [<a
-href="pgfmanualse32.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse32.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse32.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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-<html >
-<head><title>33 Commands of the System Layer</title>
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-href="pgfmanualse34.html" >next</a>] [<a
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-href="pgfmanualse32.html#tailpgfmanualse32.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse33.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse33.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">33 </span> <a
- id="x34-31000033"></a>Commands of the System Layer</h3>
-<!--l. 11--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.1 </span> <a
- id="x34-31100033.1"></a>Beginning and Ending a Stream of System Commands</h4>
-<!--l. 13--><p class="noindent">A &#8220;user&#8221; of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system layer (like the basic layer or a frontend) will interface with the system layer by calling a
-stream of commands starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span>. From the system layer&#8217;s point of view, these commands form a long
-stream. Between calls to the system layer, control goes back to the user.
-<!--l. 19--><p class="indent"> The driver files implement system layer commands by inserting <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span> commands that implement the desired
-operation. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span> will be mapped to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special{pdf:</span><span
-class="cmtt-10">&nbsp;S}</span></span></span> by the driver file for
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span>.
-<!--l. 24--><p class="indent"> For many drivers, when such a stream of specials starts, it is necessary to install an appropriate transformation
-and perhaps perform some more bureaucratic tasks. For this reason, every stream will start with a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@beginpicture</span></span></span> and will end with a corresponding ending command.
-<!--l. 30--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox404"><span
-class="cmtt-10">\pgfsys@beginpicture</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311001"></a>
- <!--l. 31--><p class="noindent">Called at the beginning of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. This command should &#8220;setup things.&#8221;
- <!--l. 34--><p class="noindent">Most drivers will need to implement this command. </dd></dl>
-<!--l. 37--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox405"><span
-class="cmtt-10">\pgfsys@endpicture</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311002"></a>
- <!--l. 38--><p class="noindent">Called at the end of a pgfpicture.
- <!--l. 40--><p class="noindent">Most drivers will need to implement this command. </dd></dl>
-<!--l. 43--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox406"><span
-class="cmtt-10">\pgfsys@typesetpicturebox</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311003"></a>
- <!--l. 44--><p class="noindent">Called <span
-class="cmti-10">after </span>a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> has been typeset. The picture will have been put in box <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span>. This
- command should insert the box into the normal text. The box <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt; </span>will still be a &#8220;raw&#8221; box that
- contains only the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span>&#8217;s that make up the description of the picture. The job of this command is
- to resize and shift <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt; </span>according to the baseline shift and the size of the box.
- <!--l. 52--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 56--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox407"><span
-class="cmtt-10">\pgfsys@beginpurepicture</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311004"></a>
- <!--l. 57--><p class="noindent">This version of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@beginpicture</span></span></span> picture command can be used for pictures that are
- guaranteed not to contain any escaped boxes (see below). In this case, a driver might provide a more
- compact version of the command.
- <!--l. 62--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 66--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox408"><span
-class="cmtt-10">\pgfsys@endpurepicture</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311005"></a>
- <!--l. 67--><p class="noindent">Called at the end of a &#8220;pure&#8221; <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
- <!--l. 69--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 73--><p class="indent"> Inside a stream it is sometimes necessary to &#8220;escape&#8221; back into normal typesetting mode; for example to insert
-some normal text, but with all of the current transformations and clippings being in force. For this escaping, the
-following command is used:
-<!--l. 78--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox409"><span
-class="cmtt-10">\pgfsys@hbox</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311006"></a>
- <!--l. 79--><p class="noindent">Called to insert a (horizontal) TeX box inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
- <!--l. 82--><p class="noindent">Most drivers will need to (re-)implement this command. </dd></dl>
-<!--l. 85--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox410"><span
-class="cmtt-10">\pgfsys@hboxsynced</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311007"></a>
- <!--l. 86--><p class="noindent">Called to insert a (horizontal) TeX box inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>, but with the current coordiante
- transformation matrix synced with the canvas transformation matrix.
- <!--l. 90--><p class="noindent">This command should do the same as if you used <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevelsynccm</span></span></span> followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@hbox</span></span></span>.
- However, the default implementation of this command will use a &#8220;TeX-translation&#8221; for the translation
- part of the transformation matrix. This will ensure that hyperlinks &#8220;survive&#8221; at least translations. On
- the other hand, a driver may choose to revert to a simpler implementation. This is done, for example,
- for the <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>implementation, where a <span class="TEX">T<span
-class="E">E</span>X</span>-translation makes no sense. </dd></dl>
-<!--l. 102--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.2 </span> <a
- id="x34-31200033.2"></a>Path Construction System Commands</h4>
-<!--l. 104--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox411"><span
-class="cmtt-10">\pgfsys@moveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312001"></a>
- <!--l. 105--><p class="noindent">This command is used to start a path at a specific point (<span
-class="cmmi-10">x,y</span>) or to move the current point of the
- current path to (<span
-class="cmmi-10">x,y</span>) without drawing anything upon stroking (the current path is &#8220;interrupted&#8221;).
- <!--l. 110--><p class="noindent">Both <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt; </span>are given as <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions. It is the driver&#8217;s job to transform these to the coordinate
- system of the backend. Typically, this means converting the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension into a dimensionless
- multiple of <img
-src="pgfmanual34x.gif" alt="1-
-72" class="frac" align="middle">in. The function <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@sys@bp</span></span></span> helps with this conversion.
- <!--l. 116--><p class="noindent"><span
-class="cmti-10">Example: </span>Draw a line from (10pt<span
-class="cmmi-10">,</span>10pt) to the origin of the picture.
- <!--l. 118--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-574-" ><colgroup id="TBL-574-1g"><col
-id="TBL-574-1"></colgroup><tr
- valign="baseline" id="TBL-574-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-574-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{10pt}{10pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{0pt}{0pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 124--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 128--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox412"><span
-class="cmtt-10">\pgfsys@lineto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312002"></a>
- <!--l. 129--><p class="noindent">Continue the current path to (<span
-class="cmmi-10">x,y</span>) with a straight line.
- <!--l. 132--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-
-
-<!--l. 136--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox413"><span
-class="cmtt-10">\pgfsys@curveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">y</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">y</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">3</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">y</span><sub ><span
-class="cmr-7">3</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312003"></a>
- <!--l. 137--><p class="noindent">Continue the current path to (<span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">3</span></sub><span
-class="cmmi-10">,y</span><sub ><span
-class="cmr-7">3</span></sub>) with a B&eacute;zier curve that has the two control points (<span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmmi-10">,y</span><sub ><span
-class="cmr-7">1</span></sub>) and
- (<span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmmi-10">,y</span><sub ><span
-class="cmr-7">2</span></sub>).
- <!--l. 140--><p class="noindent"><span
-class="cmti-10">Example: </span>Draw a good approximation of a quarter circle:
- <!--l. 141--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-575-" ><colgroup id="TBL-575-1g"><col
-id="TBL-575-1"></colgroup><tr
- valign="baseline" id="TBL-575-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-575-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{10pt}{0pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@curveto{10pt}{5.55pt}{5.55pt}{10pt}{0pt}{10pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 147--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 151--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox414"><span
-class="cmtt-10">\pgfsys@rect</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312004"></a>
- <!--l. 152--><p class="noindent">Append a rectangle to the current path whose lower left corner is at (<span
-class="cmmi-10">x,y</span>) and whose width and height
- in big points are given by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 156--><p class="noindent">This command can be &#8220;mapped back&#8221; to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto</span></span></span> commands, but it is
- included since <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;has a special, quick version of this command.
- <!--l. 160--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 164--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox415"><span
-class="cmtt-10">\pgfsys@closepath</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312005"></a>
- <!--l. 165--><p class="noindent">Close the current path. This results in joining the current point of the path with the point specified
- by the last <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span> operation. Typically, this is preferable over using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto</span></span></span> to the
- last point specified by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span>, since the line starting at this point and the line ending at
- this point will be smoothly joined by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@closepath</span></span></span>.
- <!--l. 172--><p class="noindent"><span
-class="cmti-10">Example: </span>Consider
- <!--l. 173--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-576-" ><colgroup id="TBL-576-1g"><col
-id="TBL-576-1"></colgroup><tr
- valign="baseline" id="TBL-576-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-576-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{0pt}{0pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{10bp}{10bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{0bp}{10bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@closepath</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 180--><p class="noindent">and
- <!--l. 181--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-577-" ><colgroup id="TBL-577-1g"><col
-id="TBL-577-1"></colgroup><tr
- valign="baseline" id="TBL-577-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-577-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{0bp}{0bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{10bp}{10bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{0bp}{10bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{0bp}{0bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 189--><p class="noindent">The difference between the above will be that in the second triangle the corner at the origin will be
- wrong; it will just be the overlay of two lines going in different directions, not a sharp pointed
- corner.
- <!--l. 194--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-
-
-<!--l. 200--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.3 </span> <a
- id="x34-31300033.3"></a>Canvas Transformation System Commands</h4>
-<!--l. 202--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox416"><span
-class="cmtt-10">\pgfsys@transformcm</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">b</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">c</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">e</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">f </span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-313001"></a>
- <!--l. 203--><p class="noindent">Perform a concatenation of the canvas transformation matrix with the matrix given by the values <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt;</span>
- to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">f </span><span
-class="cmsy-10">&gt;</span>, see the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript manual for details. The values <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt; </span>to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt; </span>are dimensionless factors,
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">e</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">f </span><span
-class="cmsy-10">&gt; </span>are <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions
- <!--l. 208--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@transformcm{1}{0}{0}{1}{1cm}{1cm}</span></span></span>.
- <!--l. 210--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 214--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox417"><span
-class="cmtt-10">\pgfsys@transformshift</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x displacement</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y displacement</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-313002"></a>
- <!--l. 215--><p class="noindent">This command will change the origin of the canvas to (<span
-class="cmmi-10">x,y</span>).
- <!--l. 217--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 220--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 223--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox418"><span
-class="cmtt-10">\pgfsys@transformxyscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x scale</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y scale</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-313003"></a>
- <!--l. 224--><p class="noindent">This command will scale the canvas (and everything that is drawn) by a factor of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x scale</span><span
-class="cmsy-10">&gt; </span>in the
- <span
-class="cmmi-10">x</span>-direction and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y scale</span><span
-class="cmsy-10">&gt; </span>in the <span
-class="cmmi-10">y</span>-direction. Note that this applies to everything, including lines. So a
- scaled line will have a different width and may even have a different width when going along the <span
-class="cmmi-10">x</span>-axis
- and when going along the <span
-class="cmmi-10">y</span>-axis, if the scaling is different in these directions. Usually, you do not want
- this.
- <!--l. 232--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 235--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 239--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.4 </span> <a
- id="x34-31400033.4"></a>Stroking, Filling, and Clipping System Commands</h4>
-<!--l. 241--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox419"><span
-class="cmtt-10">\pgfsys@stroke</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314001"></a>
- <!--l. 242--><p class="noindent">Stroke the current path (as if it were drawn with a pen). A number of graphic state parameters influence
- this, which can be set using appropriate system commands described later.
- <!--l. 246--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="cmbx-10">Line width</span> </dt><dd
-class="description">The &#8220;thickness&#8221; of the line. A width of 0 is the thinnest width renderable on the device.
- On a high-resolution printer this may become invisible and should be avoided. A good choice is
- 0.4pt, which is the default.
- </dd><dt class="description">
- <span
-class="cmbx-10">Stroke color</span> </dt><dd
-class="description">This special color is used for stroking. If it is not set, the current color is used.
-
-
- </dd><dt class="description">
- <span
-class="cmbx-10">Cap</span> </dt><dd
-class="description">The cap describes how the endings of lines are drawn. A round cap adds a little half circle to
- these endings. A butt cap ends the lines exactly at the end (or start) point without anything
- added. A rectangular cap ends the lines like the butt cap, but the lines protrude over the endpoint
- by the line thickness. (See also the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;manual.) If the path has been closed, no cap is drawn.
- </dd><dt class="description">
- <span
-class="cmbx-10">Join</span> </dt><dd
-class="description">This describes how a bend (a join) in a path is rendered. A round join draws bends using small
- arcs. A bevel join just draws the two lines and then fills the join minimally so that it becomes
- convex. A miter join extends the lines so that they form a single sharp corner, but only up to a
- certain miter limit. (See the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;manual once more.)
- </dd><dt class="description">
- <span
-class="cmbx-10">Dash</span> </dt><dd
-class="description">The line may be dashed according to a dashing pattern.
- </dd><dt class="description">
- <span
-class="cmbx-10">Clipping area</span> </dt><dd
-class="description">If a clipping area is established, only those parts of the path that are inside the clipping
- area will be drawn.</dd></dl>
- <!--l. 282--><p class="noindent">In addition to stroking a path, the path may also be used for clipping after it has been stroked. This will
- happen if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span> is used prior to this command, see there for details.
- <!--l. 287--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 291--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox420"><span
-class="cmtt-10">\pgfsys@closestroke</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314002"></a>
- <!--l. 292--><p class="noindent">This command should have the same effect as first closing the path and then stroking it.
- <!--l. 295--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 298--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 302--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox421"><span
-class="cmtt-10">\pgfsys@fill</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314003"></a>
- <!--l. 303--><p class="noindent">This command fills the area surrounded by the current path. If the path has not yet been closed, it
- is closed prior to filling. The path itself is not stroked. For self-intersecting paths or paths consisting
- of multiple parts, the nonzero winding number rule is used to determine whether a point is inside or
- outside the path, except if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfsys@eorule</span></span></span> holds - in which case the even-odd rule should be used.
- (See the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript manual for details.)
- <!--l. 312--><p class="noindent">The following graphic state parameters influence the filling:
- <!--l. 314--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="cmbx-10">Interior rule</span> </dt><dd
-class="description">If <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfsys@eorule</span></span></span> is set, the even-odd rule is used, otherwise the non-zero winding
- number rule.
- </dd><dt class="description">
- <span
-class="cmbx-10">Fill color</span> </dt><dd
-class="description">If the fill color is not especially set, the current color is used.
- </dd><dt class="description">
- <span
-class="cmbx-10">Clipping area</span> </dt><dd
-class="description">If a clipping area is established, only those parts of the filling area that are inside the
- clipping area will be drawn.</dd></dl>
- <!--l. 328--><p class="noindent">In addition to filling the path, the path will also be used for clipping if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span> is used prior to this
- command.
- <!--l. 331--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 334--><p class="noindent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox422"><span
-class="cmtt-10">\pgfsys@fillstroke</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314004"></a>
- <!--l. 335--><p class="noindent">First, the path is filled, then the path is stroked. If the fill and stroke colors are the same (or if they are
- not specified and the current color is used), this yields almost the same as a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@fill</span></span></span>. However,
- due to the line thickness of the stroked path, the fill-stroked area will be slightly larger.
- <!--l. 341--><p class="noindent">In addition to stroking and filling the path, the path will also be used for clipping if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span>
- is used prior to this command.
- <!--l. 344--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 348--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox423"><span
-class="cmtt-10">\pgfsys@discardpath</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314005"></a>
- <!--l. 349--><p class="noindent">Normally, this command should &#8220;throw away&#8221; the current path. However, after <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span>
- has been called, the current path should subsequently be used for clipping. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span> for
- details.
- <!--l. 354--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 358--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox424"><span
-class="cmtt-10">\pgfsys@clipnext</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314006"></a>
- <!--l. 359--><p class="noindent">This command should be issued after a path has been constructed, but before it has been stroked and/or
- filled or discarded. When the command is used, the next stroking/filling/discarding command will first
- be executed normally. Then, afterwards, the just-used path will be used for subsequent clipping. If
- there has already been a clipping region, this region is intersected with the new clipping path (the
- clipping cannot get bigger). The nonzero winding number rule is used to determine whether a point
- is inside or outside the clipping area or the even-odd rule, depending on whether <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfsys@eorule</span></span></span>
- holds. </dd></dl>
-<!--l. 374--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.5 </span> <a
- id="x34-31500033.5"></a>Graphic State Option System Commands</h4>
-<!--l. 376--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox425"><span
-class="cmtt-10">\pgfsys@setlinewidth</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315001"></a>
- <!--l. 377--><p class="noindent">Sets the width of lines, when stroked, to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span>, which must be a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension.
- <!--l. 380--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 383--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox426"><span
-class="cmtt-10">\pgfsys@buttcap</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315002"></a>
- <!--l. 384--><p class="noindent">Sets the cap to a butt cap. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 386--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 389--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox427"><span
-class="cmtt-10">\pgfsys@roundcap</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315003"></a>
- <!--l. 390--><p class="noindent">Sets the cap to a round cap. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 392--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-
-
-<!--l. 395--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox428"><span
-class="cmtt-10">\pgfsys@rectcap</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315004"></a>
- <!--l. 396--><p class="noindent">Sets the cap to a rectangular cap. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 398--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 401--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox429"><span
-class="cmtt-10">\pgfsys@miterjoin</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315005"></a>
- <!--l. 402--><p class="noindent">Sets the join to a miter join. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 404--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 407--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox430"><span
-class="cmtt-10">\pgfsys@setmiterlimit</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315006"></a>
- <!--l. 408--><p class="noindent">Sets the miter limit of lines to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>. See the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript for details on what the miter limit
- is.
- <!--l. 411--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 414--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox431"><span
-class="cmtt-10">\pgfsys@roundjoin</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315007"></a>
- <!--l. 415--><p class="noindent">Sets the join to a round join. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 417--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 420--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox432"><span
-class="cmtt-10">\pgfsys@beveljoin</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315008"></a>
- <!--l. 421--><p class="noindent">Sets the join to a bevel join. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 423--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 426--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox433"><span
-class="cmtt-10">\pgfsys@setdash</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pattern</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315009"></a>
- <!--l. 427--><p class="noindent">Sets the dashing patter. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pattern</span><span
-class="cmsy-10">&gt; </span>should be a list of <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions lengths separated by commas.
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt; </span>should be a single dimension.
- <!--l. 431--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@setdash{3pt,3pt}{0pt}</span></span></span>
- <!--l. 433--><p class="noindent">The list of values in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pattern</span><span
-class="cmsy-10">&gt; </span>is used to determine the lengths of the &#8220;on&#8221; phases of the dashing and
- of the &#8220;off&#8221; phases. For example, if <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pattern</span><span
-class="cmsy-10">&gt; </span>is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">3bp,4bp</span></span></span>, then the dashing pattern is &#8220;3bp on followed
- by 4bp off, followed by 3bp on, followed by 4bp off, and so on.&#8221; A pattern of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.5pt,4pt,3pt,1.5pt</span></span></span>
- means &#8220;.5pt on, 4pt off, 3pt on, 1.5pt off, .5pt on, ...&#8221; If the number of entries is odd, the last one is
- used twice, so <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">3pt</span></span></span> means &#8220;3pt on, 3pt off, 3pt on, 3pt off, ...&#8221; An empty list means &#8220;always on.&#8221;
- <!--l. 443--><p class="noindent">The second argument determines the &#8220;phase&#8221; of the pattern. For example, for a pattern of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">3bp,4bp</span></span></span>
- and a phase of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1bp</span></span></span>, the pattern would start: &#8220;2bp on, 4bp off, 3bp on, 4bp off, 3bp on, 4bp off, ...&#8221;
- <!--l. 448--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-
-
-<!--l. 452--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox434"><span
-class="cmtt-10">\ifpgfsys@eorule</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315010"></a>
- <!--l. 453--><p class="noindent">Determines whether the even odd rule is used for filling and clipping or not. </dd></dl>
-<!--l. 458--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox435"><span
-class="cmtt-10">\pgfsys@stroke@opacity</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315011"></a>
- <!--l. 459--><p class="noindent">Sets the opacity of stroking operations. </dd></dl>
-<!--l. 462--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox436"><span
-class="cmtt-10">\pgfsys@fill@opacity</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315012"></a>
- <!--l. 463--><p class="noindent">Sets the opacity of filling operations. </dd></dl>
-<!--l. 467--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.6 </span> <a
- id="x34-31600033.6"></a>Color System Commands</h4>
-<!--l. 469--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system layer provides a number of system commands for setting colors. These command coexist with
-commands from the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> package, which perform similar functions. However, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color</span></span></span> package does
-not support having two different colors for stroking and filling, which is a useful feature that is supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>.
-For this reason, the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system layer offers commands for setting these colors separatedly. Also, plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;profits
-from the fact that <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;can set colors.
-<!--l. 478--><p class="indent"> For <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>, implementing these color commands is easy since <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;supports different stroking and
-filling colors directly. For PostScript, a more complicated approach is needed in which the colors need
-to be stored in special PostScript variables that are set whenever a stroking or a filling operation is
-done.
-<!--l. 484--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox437"><span
-class="cmtt-10">\pgfsys@color@rgb</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">red</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">green</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">blue</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316001"></a>
- <!--l. 485--><p class="noindent">Sets the color used for stroking and filling operations to the given red/green/blue tuple (numbers
- between 0 and 1).
- <!--l. 488--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 491--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox438"><span
-class="cmtt-10">\pgfsys@color@rgb@stroke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">red</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">green</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">blue</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316002"></a>
- <!--l. 492--><p class="noindent">Sets the color used for stroking operations to the given red/green/blue tuple (numbers between 0 and
- 1).
- <!--l. 495--><p class="noindent"><span
-class="cmti-10">Example: </span>Make stroked text dark red: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@rgb@stroke{0.5}{0}{0}</span></span></span>
- <!--l. 497--><p class="noindent">The special stroking color is only used if the stroking color has been set since the last <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@xxx</span></span></span> command. Thus, each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command will reset both the stroking and filling
- colors by calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@reset</span></span></span>.
- <!--l. 502--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 505--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox439"><span
-class="cmtt-10">\pgfsys@color@rgb@fill</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">red</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">green</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">blue</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316003"></a>
- <!--l. 506--><p class="noindent">Sets the color used for filling operations to the given red/green/blue tuple (numbers between 0 and 1).
- This color may be different from the stroking color.
- <!--l. 510--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 513--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox440"><span
-class="cmtt-10">\pgfsys@color@cmyk</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316004"></a>
- <!--l. 514--><p class="noindent">Sets the color used for stroking and filling operations to the given cymk tuple (numbers between 0 and
- 1).
- <!--l. 517--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 520--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox441"><span
-class="cmtt-10">\pgfsys@color@cmyk@stroke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316005"></a>
- <!--l. 521--><p class="noindent">Sets the color used for stroking operations to the given cymk tuple (numbers between 0 and 1).
- <!--l. 524--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 527--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox442"><span
-class="cmtt-10">\pgfsys@color@cmyk@fill</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316006"></a>
- <!--l. 528--><p class="noindent">Sets the color used for filling operations to the given cymk tuple (numbers between 0 and 1).
- <!--l. 531--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 534--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox443"><span
-class="cmtt-10">\pgfsys@color@cmy</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316007"></a>
- <!--l. 535--><p class="noindent">Sets the color used for stroking and filling operations to the given cym tuple (numbers between 0 and
- 1).
- <!--l. 538--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 541--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox444"><span
-class="cmtt-10">\pgfsys@color@cmy@stroke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316008"></a>
- <!--l. 542--><p class="noindent">Sets the color used for stroking operations to the given cym tuple (numbers between 0 and 1).
- <!--l. 545--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 548--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox445"><span
-class="cmtt-10">\pgfsys@color@cmy@fill</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316009"></a>
- <!--l. 549--><p class="noindent">Sets the color used for filling operations to the given cym tuple (numbers between 0 and 1).
- <!--l. 552--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 555--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox446"><span
-class="cmtt-10">\pgfsys@color@gray</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316010"></a>
- <!--l. 556--><p class="noindent">Sets the color used for stroking and filling operations to the given black value, where 0 means black
- and 1 means white.
- <!--l. 559--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 562--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox447"><span
-class="cmtt-10">\pgfsys@color@gray@stroke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316011"></a>
- <!--l. 563--><p class="noindent">Sets the color used for stroking operations to the given black value, where 0 means black and 1 means
- white.
- <!--l. 566--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 569--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox448"><span
-class="cmtt-10">\pgfsys@color@gray@fill</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316012"></a>
- <!--l. 570--><p class="noindent">Sets the color used for filling operations to the given black value, where 0 means black and 1 means
- white.
- <!--l. 573--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 576--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox449"><span
-class="cmtt-10">\pgfsys@color@reset</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316013"></a>
- <!--l. 577--><p class="noindent">This command will be called when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command is used. It should purge any internal settings of
- stroking and filling color. After this call, till the next use of a command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@rgb@fill</span></span></span>,
- the current color installed by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command should be used.
- <!--l. 583--><p class="noindent">If the <span class="TEX">T<span
-class="E">E</span>X</span>-if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@reset@inorder</span></span></span> is set to true, this command may &#8220;assume&#8221; that any
- call to a color command that sets the fill or stroke color came &#8220;before&#8221; the call to this command and
- may try to optimize the output accordingly.
- <!--l. 588--><p class="noindent">An example of an incorrect &#8220;out of order&#8221; call would be using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@reset</span></span></span> at the beginning
- of a box that is constructed using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\setbox</span></span></span>. Then, when the box is constructed, no special fill or stroke
- color might be in force. However, when the box is later on inserted at some point, a special fill color
- might already have been set. In this case, this command is not guaranteed to reset the color correctly.
- </dd></dl>
-<!--l. 597--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox450"><span
-class="cmtt-10">\pgfsys@color@reset@inordertrue</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316014"></a>
- <!--l. 598--><p class="noindent">Sets the optimized &#8220;in order&#8221; version of the color resetting. This is the default. </dd></dl>
-<!--l. 602--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox451"><span
-class="cmtt-10">\pgfsys@color@reset@inorderfalse</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316015"></a>
- <!--l. 603--><p class="noindent">Switches off the optimized color resetting. </dd></dl>
-<!--l. 606--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox452"><span
-class="cmtt-10">\pgfsys@color@unstacked</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span class="LATEX"><span
-class="cmti-10">L</span><span class="A"><span
-class="cmti-10">A</span></span><span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span></span><span
-class="cmti-10">&nbsp;color</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316016"></a>
- <!--l. 607--><p class="noindent">This slightly obscure command causes the color stack to be tricked. When called, this command should
- set the current color to <span
-class="cmsy-10">&lt;</span><span class="LATEX"><span
-class="cmti-10">L</span><span class="A"><span
-class="cmti-10">A</span></span><span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span></span><span
-class="cmti-10">&nbsp;color</span><span
-class="cmsy-10">&gt; </span>without causing any change in the color stack.
- <!--l. 611--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@unstacked{red}</span></span></span> </dd></dl>
-<!--l. 615--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.7 </span> <a
- id="x34-31700033.7"></a>Scoping System Commands</h4>
-<!--l. 617--><p class="noindent">The scoping commands are used to keep changes of the graphics state local.
-<!--l. 620--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox453"><span
-class="cmtt-10">\pgfsys@beginscope</span></span> </dt><dd
-class="description">
-<a
- id="dx34-317001"></a>
- <!--l. 621--><p class="noindent">Saves the current graphic state on a graphic state stack. All changes to the graphic state parameters
- mentioned for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@fill</span></span></span> will be local to the current graphic state and the
- old values will be restored after <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@endscope</span></span></span> is used.
- <!--l. 626--><p class="noindent"><span
-class="cmti-10">Warning: </span><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;and PostScript differ with respect to the question of whether the current path is part
- of the graphic state or not. For this reason, you should never use this command unless the path is
- currently empty. For example, it might be a good idea to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@discardpath</span></span></span> prior to calling
- this command.
- <!--l. 632--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 635--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox454"><span
-class="cmtt-10">\pgfsys@endscope</span></span> </dt><dd
-class="description">
-<a
- id="dx34-317002"></a>
- <!--l. 636--><p class="noindent">Restores the last saved graphic state.
- <!--l. 638--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 647--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.8 </span> <a
- id="x34-31800033.8"></a>Image System Commands</h4>
-<!--l. 649--><p class="noindent">The system layer provides some commands for image inclusion.
-<!--l. 651--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox455"><span
-class="cmtt-10">\pgfsys@imagesuffixlist</span></span> </dt><dd
-class="description">
-<a
- id="dx34-318001"></a>
- <!--l. 652--><p class="noindent">This macro should expand to a list of suffixes, separated by &#8216;:&#8217;, that will be tried when searching for
- an image.
- <!--l. 655--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\def\pgfsys@imagesuffixlist{eps:epsi:ps}</span></span></span> </dd></dl>
-<!--l. 659--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox456"><span
-class="cmtt-10">\pgfsys@defineimage</span></span> </dt><dd
-class="description">
-<a
- id="dx34-318002"></a>
- <!--l. 660--><p class="noindent">Called, when an image should be defined.
- <!--l. 662--><p class="noindent">This command does not take any parameters. Instead, certain macros will be preinstalled with
- appropriate values when this command is invoked. These are:
-
-
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@filename</span></span></span> File name of the image to be defined.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imagewidth</span></span></span> Will be set to the desired (scaled) width of the image.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imageheight</span></span></span> Will be set to the desired (scaled) height of the image.
- <!--l. 676--><p class="noindent">If this macro and also the height macro are empty, the image should have its &#8220;natural&#8221; size.
- <!--l. 679--><p class="noindent">If exactly only of them is specified, the undefined value the image is scaled so that the aspect
- ratio is kept.
- <!--l. 682--><p class="noindent">If both are set, the image is scaled in both directions independently, possibly changing the aspect
- ratio.</li></ul>
- <!--l. 686--><p class="noindent">The following macros presumable mostly make sense for drivers that can handle <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imagepage</span></span></span> The desired page number to be extracted from a multi-page &#8220;image.&#8221;
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imagemask</span></span></span> If set, it will be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/SMask</span><span
-class="cmtt-10">&nbsp;x</span><span
-class="cmtt-10">&nbsp;0</span><span
-class="cmtt-10">&nbsp;R</span></span></span> where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> is the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;object number of a
- soft mask to be applied to the image.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imageinterpolate</span></span></span> If set, it will be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/Interpolate</span><span
-class="cmtt-10">&nbsp;true</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/Interpolate</span><span
-class="cmtt-10">&nbsp;false</span></span></span>,
- indicating whether the image should be interpolated in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>.</li></ul>
- <!--l. 704--><p class="noindent">The command should now setup the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@image</span></span></span> such that calling this macro will result in typesetting
- the image. Thus, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@image</span></span></span> is the &#8220;return value&#8221; of the command.
- <!--l. 708--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 713--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox457"><span
-class="cmtt-10">\pgfsys@definemask</span></span> </dt><dd
-class="description">
-<a
- id="dx34-318003"></a>
- <!--l. 714--><p class="noindent">This command declares a mask for usage with images. It works similar to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@defineimage</span></span></span>:
- Certain macros are set when the command is called. The result should be to set the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@mask</span></span></span>
- to a pdf object count that can subsequently be used as a soft mask. The following macros will be set
- when this command is invoked:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@filename</span></span></span> File name of the mask to be defined.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@maskmatte</span></span></span> The so-called matte of the mask (see the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;documentation for details). The
- matte is a color specification consisting of 1, 3 or 4 numbers between 0 and 1. The number of
- numbers depends on the number of color channels in the image (not in the mask!). It will be
- assumed that the image has been preblended with this color.</li></ul>
- </dd></dl>
-<!--l. 734--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.9 </span> <a
- id="x34-31900033.9"></a>Shading System Commands</h4>
-<!--l. 737--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox458"><span
-class="cmtt-10">\pgfsys@horishading</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-319001"></a>
-
-
- <!--l. 738--><p class="noindent">Declares a horizontal shading for later use. The effect of this command should be the definition of
- a macro called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\@pgfshading</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span> (or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\csname</span><span
-class="cmtt-10">&nbsp;@pdfshading</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!\endcsname</span></span></span>, to be precise).
- When invoked, this new macro should insert a shading at the current position.
- <!--l. 744--><p class="noindent"><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>is the name of the shading, which is also used in the output macro name. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt; </span>is the height
- of the shading and must be given as a TeX dimension like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2cm</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">10pt</span></span></span>. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt; </span>is a shading
- color specification as specified in Section&nbsp;<a
-href="pgfmanualse28.html#x29-28600028">28<!--tex4ht:ref: section-shadings --></a>. The shading specification implicitly fixes the width of the
- shading.
- <!--l. 751--><p class="noindent">When <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\@pgfshading</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span> is invoked, it should insert a box of height <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt; </span>and the width implicit
- in the shading declaration. </dd></dl>
-<!--l. 757--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox459"><span
-class="cmtt-10">\pgfsys@vertshading</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-319002"></a>
- <!--l. 758--><p class="noindent">Like the horizontal version, only for vertical shadings. This time, the height of the shading is implicit
- in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt; </span>and the width is given as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
-<!--l. 763--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox460"><span
-class="cmtt-10">\pgfsys@radialshading</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">starting point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-319003"></a>
- <!--l. 764--><p class="noindent">Declares a radial shading. Like the previous macros, this command should setup the macro
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\@pgfshading</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span>, which upon invocation should insert a radial shading whose size is implicit in
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 769--><p class="noindent">The parameter <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">starting point</span><span
-class="cmsy-10">&gt; </span>is a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;point specifying the inner starting point of the shading. </dd></dl>
-<!--l. 774--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.10 </span> <a
- id="x34-32000033.10"></a>Reusable Objects System Commands</h4>
-<!--l. 776--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox461"><span
-class="cmtt-10">\pgfsys@invoke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literals</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-320001"></a>
- <!--l. 777--><p class="noindent">This command gets protocoled literals and should insert them into the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file using an
- appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span>. </dd></dl>
-<!--l. 782--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox462"><span
-class="cmtt-10">\pgfsys@defobject</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">upper right</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-320002"></a>
- <!--l. 783--><p class="noindent">Declares an object for later use. The idea is that the object can be precached in some way and then
- be rendered more quickly when used several times. For example, an arrow head might be defined and
- prerendered in this way.
- <!--l. 788--><p class="noindent">The parameter <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>is the name for later use. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">upper right</span><span
-class="cmsy-10">&gt; </span>are <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;points specifying
- a bounding box for the object. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is the code for the object. The code should not be too fancy.
- <!--l. 793--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 797--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox463"><span
-class="cmtt-10">\pgfsys@useobject</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">extra code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-320003"></a>
- <!--l. 798--><p class="noindent">Renders a previously declared object. The first parameter is the name of the the object. The second
- parameter is extra code that should be executed right <span
-class="cmti-10">before </span>the object is rendered. Typically, this will
- be some transformation code.
- <!--l. 803--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-
-
-<!--l. 808--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.11 </span> <a
- id="x34-32100033.11"></a>Invisibility System Commands</h4>
-<!--l. 810--><p class="noindent">All drawing or stroking or text rendering between calls of the following commands should be suppressed. A similar
-effect can be achieved by clipping against an empty region, but the following commands do not open a graphics
-scope and can be opened and closed &#8220;orthogonally&#8221; to other scopes.
-<!--l. 816--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox464"><span
-class="cmtt-10">\pgfsys@begininvisible</span></span> </dt><dd
-class="description">
-<a
- id="dx34-321001"></a>
- <!--l. 817--><p class="noindent">Between this command and the closing <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@endinvisible</span></span></span> all output should be suppressed.
- Nothing should be drawn at all, which includes all paths, images and shadings. However, no groups
- (neither <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups nor graphic state groups) should be opened by this command.
- <!--l. 823--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 826--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 829--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox465"><span
-class="cmtt-10">\pgfsys@endinvisible</span></span> </dt><dd
-class="description">
-<a
- id="dx34-321002"></a>
- <!--l. 830--><p class="noindent">Ends the invisibility section, unless invisibility blocks have been nested. In this case, only the &#8220;last&#8221;
- one restores visibility.
- <!--l. 833--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 836--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 842--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.12 </span> <a
- id="x34-32200033.12"></a>Internal Conversion Commands</h4>
-<!--l. 844--><p class="noindent">The system commands take <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions as input, but the dimensions that have to be inserted into <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;and
-PostScript files need to be dimensionless values that are interpreted as multiples of <img
-src="pgfmanual35x.gif" alt=" 1
-72" class="frac" align="middle">in. For example, the
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension 2<span
-class="cmmi-10">bp </span>should be inserted as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2</span></span></span> into a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;file and the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension 10pt as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">9.9626401</span></span></span>. To make
-this conversion easier, the following command may be useful:
-<!--l. 852--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox466"><span
-class="cmtt-10">\pgf@sys@bp</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-322001"></a>
- <!--l. 853--><p class="noindent">Inserts how many multiples of <img
-src="pgfmanual36x.gif" alt="1
-72" class="frac" align="middle">in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is into the current protocol stream (buffered).
- <!--l. 856--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@sys@bp{\pgf@x}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@sys@bp{1cm}</span></span></span>. </dd></dl>
-<!--l. 859--><p class="indent"> Note that this command is <span
-class="cmti-10">not </span>a system command that can/needs to be overwritten by a driver.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse34.html" >next</a>] [<a
-href="pgfmanualse32.html" >prev</a>] [<a
-href="pgfmanualse32.html#tailpgfmanualse32.html" >prev-tail</a>] [<a
-href="pgfmanualse33.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse33.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse33.html"></a>
-</body></html>
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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>34 The Soft Path Subsystem</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse35.html" >next</a>] [<a
-href="pgfmanualse33.html" >prev</a>] [<a
-href="pgfmanualse33.html#tailpgfmanualse33.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse34.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse34.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">34 </span> <a
- id="x35-32300034"></a>The Soft Path Subsystem</h3>
-<!--l. 14--><p class="noindent">This section describes a set of commands for creating <span
-class="cmti-10">soft paths </span>as opposed to the commands of the previous
-section, which created <span
-class="cmti-10">hard paths</span>. A soft path is a path that can still be &#8220;changed&#8221; or &#8220;molded.&#8221; Once you (or the
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system) is satisfied with a soft path, it is turned into a hard path, which can be inserted into the resulting <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>
-or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span> file.
-<!--l. 21--><p class="indent"> Note that the commands described in this section are &#8220;high-level&#8221; in the sense that they are not
-implemented in driver files, but rather directly by the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-system layer. For this reason, the commands for
-creating soft paths do not start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span>, but rather with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@</span></span></span>. On the other hand,
-as a user you will never use these commands directly, so they are described as part of the low-level
-interface.
-<!--l. 31--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">34.1 </span> <a
- id="x35-32400034.1"></a>Path Creation Process</h4>
-<!--l. 33--><p class="noindent">When the user writes a command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0bp,0bp)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(10bp,0bp);</span></span></span> quite a lot happens behind the
-scenes:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x35-324002x1"></a>The frontend command is translated by Ti<span
-class="cmti-10">k</span>Z&nbsp;into commands of the basic layer. In essence, the command is
- translated to something like
- <!--l. 40--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-578-" ><colgroup id="TBL-578-1g"><col
-id="TBL-578-1"></colgroup><tr
- valign="baseline" id="TBL-578-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-578-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpathmoveto{\pgfpoint{0bp}{0bp}}</span>
-<br><span
-class="cmtt-8">\pgfpathlineto{\pgfpoint{10bp}{0bp}}</span>
-<br><span
-class="cmtt-8">\pgfusepath{stroke}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="enumerate" value="2"
-><a
- id="x35-324004x2"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathxxxx</span></span></span> command do <span
-class="cmti-10">not </span>directly call &#8220;hard&#8221; commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@xxxx</span></span></span>. Instead, the
- command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span> invokes a special command called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@moveto</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathlineto</span></span></span>
- invokes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@lineto</span></span></span>.
- <!--l. 51--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@xxxx</span></span></span> commands, which are described below, construct a soft path. Each time such a
- command is used, special tokens are added to the end of an internal macro that stores the soft path currently
- being constructed.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x35-324006x3"></a>When the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span> is encountered, the soft path stored in the internal macro is &#8220;invoked.&#8221; Only now does
- a special macro iterate over the soft path. For each line-to or move-to operation on this path it calls an
- appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto</span></span></span> in order to, finally, create the desired hard path, namely, the
- string of literals in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span> file.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x35-324008x4"></a>After the path has been invoked, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span> is called to insert the literal for stroking the
- path.</li></ol>
-<!--l. 67--><p class="indent"> Why such a complicated process? Why not have <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathlineto</span></span></span> directly call <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto</span></span></span> and be done
-with it? There are two reasons:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x35-324010x1"></a>The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;specification requires that a path is not interrupted by any non-path-construction commands. Thus,
- the following code will result in a corrupted <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>:
- <!--l. 74--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-579-" ><colgroup id="TBL-579-1g"><col
-id="TBL-579-1"></colgroup><tr
- valign="baseline" id="TBL-579-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-579-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{0}{0}</span>
-<br><span
-class="cmtt-8">\pgfsys@setlinewidth{1}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{10}{0}</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 80--><p class="noindent">Such corrupt code is <span
-class="cmti-10">tolerated </span>by most viewers, but not always. It is much better to create only (reasonably)
- legal code.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x35-324012x2"></a>A soft path can still be changed, while a hard path is fixed. For example, one can still change the starting and
- end points of a soft path or do optimizations on it. Such transformations are not possible on hard
- paths.</li></ol>
-<!--l. 90--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">34.2 </span> <a
- id="x35-32500034.2"></a>Starting and Ending a Soft Path</h4>
-<!--l. 92--><p class="noindent">No special action must be taken in order to start the creation of a soft path. Rather, each time a command like
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@lineto</span></span></span> is called, a special token is added to the (global) current soft path being
-constructed.
-<!--l. 97--><p class="indent"> However, you can access and change the current soft path. In this way, it is possible to store a soft path, to
-manipulate it, or to invoke it.
-<!--l. 101--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox467"><span
-class="cmtt-10">\pgfsyssoftpath@getcurrentpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-325001"></a>
- <!--l. 102--><p class="noindent">This command will store the current soft path in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
-<!--l. 105--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox468"><span
-class="cmtt-10">\pgfsyssoftpath@setcurrentpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-325002"></a>
- <!--l. 106--><p class="noindent">This command will set the current soft path to be the path stored in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span>. This macro
- should store a path that has previously been extracted using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@getcurrentpath</span></span></span>
- command and has possibly been modified subsequently. </dd></dl>
-<!--l. 112--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox469"><span
-class="cmtt-10">\pgfsyssoftpath@invokecurrentpath</span></span> </dt><dd
-class="description">
-<a
- id="dx35-325003"></a>
- <!--l. 113--><p class="noindent">This command will turn the current soft path in a &#8220;hard&#8221; path. To do so, it iterates over the soft path
- and calls an appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@xxxx</span></span></span> command for each element of the path. Note that the current
- soft path is <span
-class="cmti-10">not changed </span>by this command. Thus, in order to start a new soft path after the old one
- has been invoked and is no longer needed, you need to set the current soft path to be empty. This may
- seems strange, but it is often useful to immediately use the last soft path again. </dd></dl>
-<!--l. 123--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox470"><span
-class="cmtt-10">\pgfsyssoftpath@flushcurrentpath</span></span> </dt><dd
-class="description">
-<a
- id="dx35-325004"></a>
- <!--l. 124--><p class="noindent">This command will invoke the current soft path and then set it to be empty. </dd></dl>
-<!--l. 130--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">34.3 </span> <a
- id="x35-32600034.3"></a>Soft Path Creation Commands</h4>
-<!--l. 132--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox471"><span
-class="cmtt-10">\pgfsyssoftpath@moveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326001"></a>
-
-
- <!--l. 133--><p class="noindent">This command appends a &#8220;move-to&#8221; segment to the current soft path. The coordinates <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span>
- are given as normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions.
- <!--l. 137--><p class="noindent"><span
-class="cmti-10">Example: </span>One way to draw a line:
- <!--l. 138--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-580-" ><colgroup id="TBL-580-1g"><col
-id="TBL-580-1"></colgroup><tr
- valign="baseline" id="TBL-580-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-580-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsyssoftpath@moveto{0pt}{0pt}</span>
-<br><span
-class="cmtt-8">\pgfsyssoftpath@lineto{10pt}{10pt}</span>
-<br><span
-class="cmtt-8">\pgfsyssoftpath@flushcurrentpath</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 146--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox472"><span
-class="cmtt-10">\pgfsyssoftpath@lineto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326002"></a>
- <!--l. 147--><p class="noindent">Appends a &#8220;line-to&#8221; segment to the current soft path. </dd></dl>
-<!--l. 150--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox473"><span
-class="cmtt-10">\pgfsyssoftpath@curveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">b</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">c</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326003"></a>
- <!--l. 151--><p class="noindent">Appends a &#8220;curve-to&#8221; segment to the current soft path with controls (<span
-class="cmmi-10">a,b</span>) and (<span
-class="cmmi-10">c,d</span>). </dd></dl>
-<!--l. 155--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox474"><span
-class="cmtt-10">\pgfsyssoftpath@rect</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326004"></a>
- <!--l. 156--><p class="noindent">Appends a rectangle segment to the current soft path. </dd></dl>
-<!--l. 159--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox475"><span
-class="cmtt-10">\pgfsyssoftpath@closepath</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326005"></a>
- <!--l. 160--><p class="noindent">Appends a &#8220;close-path&#8221; segment to the current soft path. </dd></dl>
-<!--l. 166--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">34.4 </span> <a
- id="x35-32700034.4"></a>The Soft Path Data Structure</h4>
-<!--l. 168--><p class="noindent">A soft path is stored in a standardized way, which makes it possible to modify it before it becomes &#8220;hard.&#8221;
-Basically, a soft path is a long sequence of triples. Each triple starts with a <span
-class="cmti-10">token </span>that identifies what is going on.
-This token is followed by two dimensions in braces. For example, the following is a soft path that means &#8220;the path
-starts at (0bp<span
-class="cmmi-10">,</span>0bp) and then continues in a straight line to (10bp<span
-class="cmmi-10">,</span>0bp).&#8221;
-<!--l. 177--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-581-" ><colgroup id="TBL-581-1g"><col
-id="TBL-581-1"></colgroup><tr
- valign="baseline" id="TBL-581-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-581-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfsyssoftpath@movetotoken{0bp}{0bp}\pgfsyssoftpath@linetotoken{10bp}{0bp}</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 181--><p class="indent"> A curve-to is hard to express in this way since we need six numbers to express it, not two. For this reasons, a
-curve-to is expressed using three triples as follows: The command
-<!--l. 184--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-582-" ><colgroup id="TBL-582-1g"><col
-id="TBL-582-1"></colgroup><tr
- valign="baseline" id="TBL-582-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-582-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfsyssoftpath@curveto{1bp}{2bp}{3bp}{4bp}{5bp}{6bp}</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 187--><p class="noindent">results in the following three triples:
-<!--l. 189--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-583-" ><colgroup id="TBL-583-1g"><col
-id="TBL-583-1"></colgroup><tr
- valign="baseline" id="TBL-583-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-583-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsyssoftpath@curvetosupportatoken{1bp}{2bp}</span>
-<br><span
-class="cmtt-8">\pgfsyssoftpath@curvetosupportbtoken{3bp}{4bp}</span>
-<br><span
-class="cmtt-8">\pgfsyssoftpath@curvetotoken{5bp}{6bp}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 195--><p class="indent"> These three triples must always &#8220;remain together.&#8221; Thus, a lonely <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">supportbtoken</span></span></span> is forbidden.
-<!--l. 198--><p class="indent"> In details, the following tokens exist:
-
-
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@movetotoken</span></span></span> indicates a move-to operation. The two following numbers indicate
- the position to which the current point should be moved.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@linetotoken</span></span></span> indicates a line-to operation.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetosupportatoken</span></span></span> indicates the first control point of a curve-to operation.
- The triple must be followed by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetosupportbtoken</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetosupportbtoken</span></span></span> indicates the second control point of a curve-to operation.
- The triple must be followed by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetotoken</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetotoken</span></span></span> indicates the target of a curve-to operation.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@rectcornertoken</span></span></span> indicates the corner of a rectangle on the soft path. The triple
- must be followed by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@rectsizetoken</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@rectsizetoken</span></span></span> indicates the size of a rectangle on the soft path.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@closepath</span></span></span> indicates that the subpath begun with the last move-to operation should
- be closed. The parameter numbers are currently not important, but if set to anything different from
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{0pt}{0pt}</span></span></span>, they should be set to the coordinate of the original move-to operation to which the path
- &#8220;returns&#8221; now.</li></ul>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse35.html" >next</a>] [<a
-href="pgfmanualse33.html" >prev</a>] [<a
-href="pgfmanualse33.html#tailpgfmanualse33.html" >prev-tail</a>] [<a
-href="pgfmanualse34.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse34.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse34.html"></a>
-</body></html>
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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>35 The Protocol Subsystem</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse34.html" >prev</a>] [<a
-href="pgfmanualse34.html#tailpgfmanualse34.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse35.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse35.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">35 </span> <a
- id="x36-32800035"></a>The Protocol Subsystem</h3>
-<!--l. 13--><p class="noindent">This section describes commands for <span
-class="cmti-10">protocolling </span>literal text created by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. The idea is that some literal text, like
-the string of commands used to draw an arrow head, will be used over and over again in a picture. It is then
-much more efficient to compute the necessary literal text just once and to quickly insert it &#8220;in a single
-sweep.&#8221;
-<!--l. 20--><p class="indent"> When protocolling is &#8220;switched on,&#8221; there is a &#8220;current protocol&#8221; to which literal text gets appended. Once all
-commands that needed to be protocoled have been issued, the protocol can be obtained and stored using
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@getcurrentprotocol</span></span></span>. At any point, the current protocol can be changed using a corresponding
-setting command. Finally, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@invokecurrentprotocol</span></span></span> is used to insert the protocoled commands
-into the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file.
-<!--l. 28--><p class="indent"> Only those <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands can be protocolled that use the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literal</span></span></span> interally.
-For example, the definition of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span> in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-pdf.def</span></span></span> is
-<!--l. 31--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-584-" ><colgroup id="TBL-584-1g"><col
-id="TBL-584-1"></colgroup><tr
- valign="baseline" id="TBL-584-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-584-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\def\pgfsys@moveto#1#2{\pgfsysprotocol@literal{#1</span><span
-class="cmtt-8">&nbsp;#2</span><span
-class="cmtt-8">&nbsp;m}}</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 34--><p class="indent"> All &#8220;normal&#8221; system-level commands can be protocolled. However, commands for creating or invoking shadings,
-images, or whole pictures require special <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span>&#8217;s and cannot be protocolled.
-<!--l. 38--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox476"><span
-class="cmtt-10">\pgfsysprotocol@literalbuffered</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328001"></a>
- <!--l. 39--><p class="noindent">Adds the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt; </span>to the current protocol, after it has been &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\edef</span></span></span>ed.&#8221; This command will always
- protocol. </dd></dl>
-<!--l. 43--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox477"><span
-class="cmtt-10">\pgfsysprotocol@literal</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328002"></a>
- <!--l. 44--><p class="noindent">First calls <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literalbuffered</span></span></span> on <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt;</span>. Then, if protocolling is currently
- switched off, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt; </span>is passed on to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@invoke</span></span></span>. </dd></dl>
-<!--l. 49--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox478"><span
-class="cmtt-10">\pgfsysprotocol@bufferedtrue</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328003"></a>
- <!--l. 50--><p class="noindent">Turns on protocolling. All subsequent calls of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literal</span></span></span> will append their argument
- to the current protocol. </dd></dl>
-<!--l. 55--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox479"><span
-class="cmtt-10">\pgfsysprotocol@bufferedfalse</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328004"></a>
- <!--l. 56--><p class="noindent">Turns off protocolling. Subsequent calls of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literal</span></span></span> directly insert their argument
- into the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span>.
- <!--l. 60--><p class="noindent">Note that if the current protocol is not empty when protocolling is switched off, the next call to
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literal</span></span></span> will first flush the current protocol, that is, insert it into the file. </dd></dl>
-<!--l. 65--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox480"><span
-class="cmtt-10">\pgfsysprotocol@getcurrentprotocol</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328005"></a>
- <!--l. 66--><p class="noindent">Stores the current protocol in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt; </span>for later use. </dd></dl>
-<!--l. 69--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox481"><span
-class="cmtt-10">\pgfsysprotocol@setcurrentprotocol</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328006"></a>
- <!--l. 70--><p class="noindent">Sets the current protocol to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
-<!--l. 73--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox482"><span
-class="cmtt-10">\pgfsysprotocol@invokecurrentprotocol</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328007"></a>
- <!--l. 74--><p class="noindent">Inserts the text stored in the current protocol into the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file. This does <span
-class="cmti-10">not </span>change the
- current protocol. </dd></dl>
-<!--l. 78--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox483"><span
-class="cmtt-10">\pgfsysprotocol@flushcurrentprotocol</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328008"></a>
- <!--l. 79--><p class="noindent">First inserts the current protocol, then sets the current protocol to the empty string. </dd></dl>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse34.html" >prev</a>] [<a
-href="pgfmanualse34.html#tailpgfmanualse34.html" >prev-tail</a>] [<a
-href="pgfmanualse35.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse35.html" >up</a>] </p></div>
-<!--l. 319--><p class="indent"> <a
- id="tailpgfmanualse35.html"></a>
-</body></html>
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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>4 Guidelines on Graphics</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse5.html" >next</a>] [<a
-href="pgfmanualse3.html" >prev</a>] [<a
-href="pgfmanualse3.html#tailpgfmanualse3.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse4.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse4.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">4 </span> <a
- id="x5-460004"></a>Guidelines on Graphics</h3>
-<!--l. 12--><p class="noindent">The present section is not about <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;or Ti<span
-class="cmti-10">k</span>Z, but about general guidelines and principles concerning the creation
-of graphics for scientific presentations, papers, and books.
-<!--l. 16--><p class="indent"> The guidelines in this section come from different sources. Many of them are just what I would like to claim is
-&#8220;common sense,&#8221; some reflect my personal experience (though, hopefully, not my personal preferences), some come
-from books (the bibliography is still missing, sorry) on graphic design and typography. The most influential
-source are the brilliant books by Edward Tufte. While I do not agree with everything written in these
-books, many of Tufte&#8217;s arguments are so convincing that I decided to repeat them in the following
-guidelines.
-<!--l. 29--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.1 </span> <a
- id="x5-470004.1"></a>Should You Follow Guidelines?</h4>
-<!--l. 31--><p class="noindent">The first thing you should ask yourself when someone presents a bunch of guidelines is: Should I really follow
-these guidelines? This is an important questions, because there are good reasons not to follow general
-guidelines.
- <ul class="itemize1">
- <li class="itemize">The person who setup the guidelines may have had other objectives than you do. For example, a
- guideline might say &#8220;use the color red for emphasis.&#8221; While this guideline makes perfect sense for, say,
- a presentation using a projector, red &#8220;color&#8221; has the <span
-class="cmti-10">opposite </span>effect of &#8220;emphasis&#8221; when printed using
- a black-and-white printer.
- <!--l. 44--><p class="noindent">Guidelines were almost always setup to address a specific situation. If you are not in this situation,
- following a guideline can do more harm than good.
- </li>
- <li class="itemize">The basic rule of typography is: &#8220;Every rule can be broken, as long as you are <span
-class="cmti-10">aware </span>that you are
- breaking a rule.&#8221; This rule also applies to graphics. Phrased differently, the basic rule states: &#8220;The only
- mistakes in typography are things done is ignorance.&#8221;
- <!--l. 54--><p class="noindent">When you are aware of a rule and when you decide that breaking the rule has a desirable effect, break
- the rule.
- </li>
- <li class="itemize">Some guidelines are simply <span
-class="cmti-10">wrong</span>, but everyone follows them out of tradition or is forced to do so.
- My favorite example is a guideline a software company I used to work for has set in a big project:
- All programmers had to declare the parameters of functions in <span
-class="cmti-10">increasing order of size</span>. So, one-byte
- parameters should come first, then two-byte parameters, and so on.
- <!--l. 64--><p class="noindent">This guideline is total nonsense. An (arguably) sensible guideline is &#8220;parameters must be declared
- alphabetically&#8221; so that parameters are easier to find. Another (arguably) sensible guideline is
- &#8220;parameters must be declared in decreasing order of size&#8221; so that less byte-alignment cache misses
- occur when the stack is accessed. The guideline the company used maximized cache misses and resulted
- in a more or less random ordering so that programmers constantly had to look up the parameter
- ordering.</li></ul>
-<!--l. 74--><p class="indent"> So, before you apply a guideline or choose not to apply it, ask yourself these questions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x5-47002x1"></a>Does this guideline really address my situation?
- </li>
- <li class="enumerate" value="2"
-><a
- id="x5-47004x2"></a>If you do the opposite a guideline says you should do, will the advantages outweigh the disadvantages
- this guideline was supposed to prevent?</li></ol>
-
-
-<!--l. 87--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.2 </span> <a
- id="x5-480004.2"></a>Planning the Time Needed for the Creation of Graphics</h4>
-<!--l. 89--><p class="noindent">When you create a paper with numerous graphics, the time needed to create these graphics becomes an important
-factor. How much time should you calculate for the creation of graphics?
-<!--l. 93--><p class="indent"> As a general rule, assume that a graphic will need as much time to create as would a text of the same length. For
-example, when I write a paper, I need about one hour per page for the first draft. Later, I need between two and
-four hours per page for revisions. Thus, I expect to need about half an hour for the creation of <span
-class="cmti-10">a first</span>
-<span
-class="cmti-10">draft </span>of a half page graphic. Later on, I expect another one to two hours before the final graphic is
-finished.
-<!--l. 101--><p class="indent"> In many publications, even in good journals, the authors and editors have obviously invested a lot of time on the
-text, but seem to have spend about five minutes to create all of the graphics. Graphics often seem to have been
-added as an &#8220;afterthought&#8221; or look like a screen shot of whatever the authors&#8217;s statistical software shows them. As
-will be argued later on, the graphics that programs like <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>produce by default are of poor
-quality.
-<!--l. 110--><p class="indent"> Creating informative graphics that help the reader and that fit together with the main text is a difficult, lengthy
-process.
- <ul class="itemize1">
- <li class="itemize">Treat graphics as first-class citizens of your papers. They deserve as much time and energy as the text
- does.
- </li>
- <li class="itemize">Arguably, the creation of graphics deserves <span
-class="cmti-10">even more </span>time than the writing of the main text since
- more attention will be paid to the graphics and they will be looked at first.
- </li>
- <li class="itemize">Plan as much time for the creation and revision of a graphic as you would plan for text of the same
- size.
- </li>
- <li class="itemize">Difficult graphics with a high information density may require even more time.
- </li>
- <li class="itemize">Very simple graphics will require less time, but most likely you do not want to have &#8220;very simple
- graphics&#8221; in your paper, anyway; just as you would not like to have a &#8220;very simple text&#8221; of the same
- size.</li></ul>
-<!--l. 135--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.3 </span> <a
- id="x5-490004.3"></a>Workflow for Creating a Graphic</h4>
-<!--l. 137--><p class="noindent">When you write a (scientific) paper, you will most likely follow the following pattern: You have some
-results/ideas that you would like to report about. The creation of the paper will typically start with
-compiling a rough outline. Then, the different sections are filled with text to create a first draft. This
-draft is then revised repeatedly until, often after substantial revision, a final paper results. In a good
-journal paper there is typically not be a single sentence that has survived unmodified from the first
-draft.
-<!--l. 146--><p class="indent"> Creating a graphics follows the same pattern:
- <ul class="itemize1">
- <li class="itemize">Decide on what the graphic should communicate. Make this a conscious decision, that is, determine
- &#8220;What is the graphic supposed to tell the reader?&#8221;
- </li>
- <li class="itemize">Create an &#8220;outline,&#8221; that is, the rough overall &#8220;shape&#8221; of the graphic, containing the most crucial
- elements. Often, it is useful to do this using pencil and paper.
- </li>
- <li class="itemize">Fill out the finer details of the graphic to create a first draft.
- </li>
- <li class="itemize">Revise the graphic repeatedly along with the rest of the paper.</li></ul>
-
-
-<!--l. 166--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.4 </span> <a
- id="x5-500004.4"></a>Linking Graphics With the Main Text</h4>
-<!--l. 168--><p class="noindent">Graphics can be placed at different places in a text. Either, they can be inlined, meaning they are
-somewhere &#8220;in the middle of the text&#8221; or they can be placed in standalone &#8220;figures.&#8221; Since printers
-(the people) like to have their pages &#8220;filled,&#8221; (both for aesthetic and economic reasons) standalone
-figures may traditionally be placed on pages in the document far removed from the main text that
-refers to them. <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;and <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;tend to encourage this &#8220;drifting away&#8221; of graphics for technical
-reasons.
-<!--l. 177--><p class="indent"> When a graphic is inlined, it will more or less automatically be linked with the main text in the sense that the
-labels of the graphic will be implicitly explained by the surrounding text. Also, the main text will typically make it
-clear what the graphic is about and what is shown.
-<!--l. 183--><p class="indent"> Quite differently, a standalone figure will often be viewed at a time when the main text that this graphic belongs
-to either has not yet been read or has been read some time ago. For this reason, you should follow the following
-guidelines when creating standalone figures:
- <ul class="itemize1">
- <li class="itemize">Standalone figures should have a caption than should make them &#8220;understandable by themselves.&#8221;
- <!--l. 192--><p class="noindent">For example, suppose a graphic shows an example of the different stages of a quicksort algorithm. Then
- the figure&#8217;s caption should, at the very least, inform the reader that &#8220;The figure shows the different
- stages of the quicksort algorithm introduced on page xyz.&#8221; and not just &#8220;Quicksort algorithm.&#8221;
- </li>
- <li class="itemize">A good caption adds as much context information as possible. For example, you could say: &#8220;The figure
- shows the different stages of the quicksort algorithm introduced on page xyz. In the first line, the pivot
- element 5 is chosen. This causes...&#8221; While this information can also be given in the main text, putting
- it in the caption will ensure that the context is kept. Do not feel afraid of a 5-line caption. (Your editor
- may hate you for this. Consider hating them back.)
- </li>
- <li class="itemize">Reference the graphic in your main text as in &#8220;For an example of quicksort &#8216;in action,&#8217; see Figure&nbsp;2.1
- on page xyz.&#8221;
- </li>
- <li class="itemize">Most books on style and typography recommend that you do not use abbreviations as in &#8220;Fig.&nbsp;2.1&#8221;
- but write &#8220;Figure 2.1.&#8221;
- <!--l. 213--><p class="noindent">The main argument against abbreviations is that &#8220;a period is too valuable to waste it on an
- abbreviation.&#8221; The idea is that a period will make the reader assume that the sentence ends after &#8220;Fig&#8221;
- and it takes a &#8220;conscious backtracking&#8221; to realize that the sentence did not end after all.
- <!--l. 219--><p class="noindent">The argument in favor of abbreviations is that they save space.
- <!--l. 221--><p class="noindent">Personally, I am not really convinced by either argument. On the one hand, I have not yet seen any
- hard evidence that abbreviations slow readers down. On the other hand, abbreviating all &#8220;Figure&#8221; by
- &#8220;Fig.&#8221;&nbsp;is most unlikely to save even a single line in most documents.
- <!--l. 227--><p class="noindent">I avoid abbreviations.</li></ul>
-<!--l. 232--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.5 </span> <a
- id="x5-510004.5"></a>Consistency Between Graphics and Text</h4>
-<!--l. 234--><p class="noindent">Perhaps the most common &#8220;mistake&#8221; people do when creating graphics (remember that a &#8220;mistake&#8221; in design is
-always just &#8220;ignorance&#8221;) is to have a mismatch between the way their graphics look and the way their text
-looks.
-<!--l. 239--><p class="indent"> It is quite common that authors use several different programs for creating the graphics of a paper. An author
-might produce some plots using <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small></span>, a diagram using <span
-class="cmcsc-10"><small
-class="small-caps">X</small><small
-class="small-caps">F</small><small
-class="small-caps">I</small><small
-class="small-caps">G</small></span>, and include an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.eps</span></span></span> graphic a coauthor
-contributed using some unknown program. All these graphics will, most likely, use different line widths, different
-fonts, and have different sizes. In addition, authors often use options like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[height=5cm]</span></span></span> when including graphics to
-scale them to some &#8220;nice size.&#8221;
-
-
-<!--l. 248--><p class="indent"> If the same approach were taken to writing the main text, every section would be written in a different font at a
-different size. In some sections all theorems would be underlined, in another they would be printed
-all in uppercase letters, and in another in red. In addition, the margins would be different on each
-page.
-<!--l. 254--><p class="indent"> Readers and editors would not tolerate a text if it were written in this fashion, but with graphics they often have
-to.
-<!--l. 257--><p class="indent"> To create consistency between graphics and text, stick to the following guidelines:
- <ul class="itemize1">
- <li class="itemize">Do not scale graphics.
- <!--l. 263--><p class="noindent">This means that when generating graphics using an external program, create them &#8220;at the right size.&#8221;
- </li>
- <li class="itemize">Use the same font(s) both in graphics and the body text.
- </li>
- <li class="itemize">Use the same line width in text and graphics.
- <!--l. 270--><p class="noindent">The &#8220;line width&#8221; for normal text is the width of the stem of letters like T. For <span class="TEX">T<span
-class="E">E</span>X</span>, this is usually
- 0<span
-class="cmmi-10">.</span>4pt. However, some journals will not accept graphics with a normal line width below 0<span
-class="cmmi-10">.</span>5pt.
- </li>
- <li class="itemize">When using colors, use a consistent color coding in the text and in graphics. For example, if red is
- supposed to alert the reader to something in the main text, use red also in graphics for important parts
- of the graphic. If blue is used for structural elements like headlines and section titles, use blue also for
- structural elements of your graphic.
- <!--l. 282--><p class="noindent">However, graphics may also use a logical intrinsic color coding. For example, no matter what colors
- you normally use, readers will generally assume, say, that the color green as &#8220;positive, go, ok&#8221; and red
- as &#8220;alert, warning, action.&#8221;</li></ul>
-<!--l. 288--><p class="indent"> Creating consistency when using different graphic programs is almost impossible. For this reason, you should
-consider sticking to a single graphic program.
-<!--l. 293--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.6 </span> <a
- id="x5-520004.6"></a>Labels in Graphics</h4>
-<!--l. 295--><p class="noindent">Almost all graphics will contain labels, that is, pieces of text that explain parts of the graphics. When placing labels,
-stick to the following guidelines:
- <ul class="itemize1">
- <li class="itemize">Follow the rule of consistency when placing labels. You should do so in two ways: First, be consistent
- with the main text, that is, use the same font as the main text also for labels. Second, be consistent
- between labels, that is, if you format some labels in some particular way, format all labels in this way.
- </li>
- <li class="itemize">In addition to using the same fonts in text and graphics, you should also use the same notation. For
- example, if you write 1<span
-class="cmmi-10">/</span>2 in your main text, also use &#8220;1<span
-class="cmmi-10">/</span>2&#8221; as labels in graphics, not &#8220;0.5&#8221;. A <span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" /> </span>is a
- &#8220;<span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" /></span>&#8221; and not &#8220;3<span
-class="cmmi-10">.</span>141&#8221;. Finally, e<sup ><span
-class="cmsy-7">-</span><span
-class="cmr-7">i</span><span
-class="cmmi-7"><img
-src="cmmi7-19.png" alt="p" class="7x-x-19" /></span></sup> is &#8220;e<sup ><span
-class="cmsy-7">-</span><span
-class="cmr-7">i</span><span
-class="cmmi-7"><img
-src="cmmi7-19.png" alt="p" class="7x-x-19" /></span></sup>&#8221;, not &#8220;<span
-class="cmsy-10">-</span>1&#8221;, let alone &#8220;-1&#8221;.
- </li>
- <li class="itemize">Labels should be legible. They should not only have a reasonably large size, they also should not be
- obscured by lines or other text. This also applies to of lines and text <span
-class="cmti-10">behind </span>the labels.
- </li>
- <li class="itemize">Labels should be &#8220;in place.&#8221; Whenever there is enough space, labels should be placed next to the
- thing they label. Only if necessary, add a (subdued) line from the label to the labeled object. Try to
- avoid labels that only reference explanations in external legends. Reader have to jump back and forth
- between the explanation and the object that is described.
- </li>
- <li class="itemize">Consider subduing &#8220;unimportant&#8221; labels using, for example, a gray color. This will keep the focus on
- the actual graphic.</li></ul>
-
-
-<!--l. 332--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.7 </span> <a
- id="x5-530004.7"></a>Plots and Charts</h4>
-<!--l. 334--><p class="noindent">One of the most frequent kind of graphics, especially in scientific papers, are <span
-class="cmti-10">plots</span>. They come in a large
-variety, including simple line plots, parametric plots, three dimensional plots, pie charts, and many
-more.
-<!--l. 339--><p class="indent"> Unfortunately, plots are notoriously hard to get right. Partly, the default settings of programs like
-<span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>or Excel are to blame for this since these programs make it very convenient to create bad
-plots.
-<!--l. 344--><p class="indent"> The first question you should ask yourself when creating a plot is the following:
- <ul class="itemize1">
- <li class="itemize">Are there enough data points to merit a plot?</li></ul>
-<!--l. 351--><p class="indent"> If the answer is &#8220;not really,&#8221; use a table.
-<!--l. 353--><p class="indent"> A typical situation where a plot is unnecessary is when people present a few numbers in a bar diagram. Here is a
-real-life example: At the end of a seminar a lecturer asked the participants for feedback. Of the 50 participants, 30
-returned the feedback form. According to the feedback, three participants considered the seminar &#8220;very good,&#8221;
-nine considered it &#8220;good,&#8221; ten &#8220;ok,&#8221; eight &#8220;bad,&#8221; and no one thought that the seminar was &#8220;very
-bad.&#8221;
-<!--l. 361--><p class="indent"> A simple way of summing up this information is the following table:
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-63-" ><colgroup id="TBL-63-1g"><col
-id="TBL-63-1"><col
-id="TBL-63-2"><col
-id="TBL-63-3"></colgroup><tr
- valign="baseline" id="TBL-63-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-1-1"
-class="td11"> <span
-class="cmti-10">Rating given </span></td><td align="left" id="TBL-63-1-2"
-class="td11"> <!--l. 365--><p class="noindent"><span
-class="cmti-10">Participants</span>
- <span
-class="cmti-10">(out</span>
- <span
-class="cmti-10">of</span>
- <span
-class="cmti-10">50)</span>
- <span
-class="cmti-10">who</span>
- <span
-class="cmti-10">gave</span>
- <span
-class="cmti-10">this</span>
- <span
-class="cmti-10">rating</span> </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-1-3"
-class="td11"> <span
-class="cmti-10">Percentage </span></td>
-</tr><tr
-class="vspace" style="font-size:17.50002pt"><td
->&nbsp;</td><td
->&nbsp;</td><td
->&nbsp;</td></tr><tr
- valign="baseline" id="TBL-63-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-2-1"
-class="td11"> &#8220;very good&#8221; </td><td align="left" id="TBL-63-2-2"
-class="td11"> <!--l. 367--><p class="noindent"> 3 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-2-3"
-class="td11"> 6% </td>
-</tr><tr
- valign="baseline" id="TBL-63-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-3-1"
-class="td11"> &#8220;good&#8221; </td><td align="left" id="TBL-63-3-2"
-class="td11"> <!--l. 368--><p class="noindent"> 9 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-3-3"
-class="td11"> 18% </td>
-</tr><tr
- valign="baseline" id="TBL-63-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-4-1"
-class="td11"> &#8220;ok&#8221; </td><td align="left" id="TBL-63-4-2"
-class="td11"> <!--l. 369--><p class="noindent"> 10 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-4-3"
-class="td11"> 20% </td>
-</tr><tr
- valign="baseline" id="TBL-63-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-5-1"
-class="td11"> &#8220;bad&#8221; </td><td align="left" id="TBL-63-5-2"
-class="td11"> <!--l. 370--><p class="noindent"> 8 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-5-3"
-class="td11"> 16% </td>
-</tr><tr
- valign="baseline" id="TBL-63-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-6-1"
-class="td11"> &#8220;very bad&#8221; </td><td align="left" id="TBL-63-6-2"
-class="td11"> <!--l. 371--><p class="noindent"> 0 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-6-3"
-class="td11"> 0% </td>
-</tr><tr
-class="vspace" style="font-size:5.69054pt"><td
->&nbsp;</td><td
->&nbsp;</td><td
->&nbsp;</td></tr><tr
- valign="baseline" id="TBL-63-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-7-1"
-class="td11"> none </td><td align="left" id="TBL-63-7-2"
-class="td11"> <!--l. 372--><p class="noindent"> 20 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-7-3"
-class="td11"> 40% </td>
-</tr><tr
- valign="baseline" id="TBL-63-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-8-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 376--><p class="indent"> What the lecturer did was to visualize the data using a 3D bar diagram. It looked like this:
-<!--l. 400--><p class="indent"> <object data="pgfmanual-60.svg" width="269.42331 " height="193.05234 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 403--><p class="indent"> Both the table and the &#8220;plot&#8221; have about the same size. If your first thought is &#8220;the graphic looks nicer
-than the table,&#8221; try to answer the following questions based on the information in the table or in the
-graphic:
-
-
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x5-53002x1"></a>How many participants where there?
- </li>
- <li class="enumerate" value="2"
-><a
- id="x5-53004x2"></a>How many participants returned the feedback form?
- </li>
- <li class="enumerate" value="3"
-><a
- id="x5-53006x3"></a>What percentage of the participants returned the feedback form?
- </li>
- <li class="enumerate" value="4"
-><a
- id="x5-53008x4"></a>How many participants checked &#8220;very good&#8221;?
- </li>
- <li class="enumerate" value="5"
-><a
- id="x5-53010x5"></a>What percentage out of all participants checked &#8220;very good&#8221;?
- </li>
- <li class="enumerate" value="6"
-><a
- id="x5-53012x6"></a>Did more than a quarter of the participants check &#8220;bad&#8221; or &#8220;very bad&#8221;?
- </li>
- <li class="enumerate" value="7"
-><a
- id="x5-53014x7"></a>What percentage of the participants that returned the form checked &#8220;very good&#8221;?</li></ol>
-<!--l. 424--><p class="indent"> Sadly, the graphic does not allow us to answer <span
-class="cmti-10">a single one of these questions</span>. The table answers all of them
-directly, except for the last one. In essence, the information density of the graphic is very nearly zero. The table has
-a much higher information density; despite the fact that it uses quite a lot of white space to present a few
-numbers.
-<!--l. 430--><p class="indent"> Here is the list of things that went wrong with the 3D-bar diagram:
- <ul class="itemize1">
- <li class="itemize">The whole graphic is dominated by irritating background lines.
- </li>
- <li class="itemize">It is not clear what the numbers at the left mean; presumably percentages, but it might also be the
- absolute number of participants.
- </li>
- <li class="itemize">The labels at the bottom are rotated, making them hard to read.
- <!--l. 441--><p class="noindent">(In the real presentation that I saw, the text was rendered at a very low resolution with about 10 by
- 6 pixels per letter with wrong kerning, making the rotated text almost impossible to read.)
- </li>
- <li class="itemize">The third dimension adds complexity to the graphic without adding information.
- </li>
- <li class="itemize">The three dimensional setup makes it much harder to gauge the height of the bars correctly. Consider
- the &#8220;bad&#8221; bar. It the number this bar stands for more than 20 or less? While the front of the bar is
- below the 20 line, the back of the bar (which counts) is above.
- </li>
- <li class="itemize">It is impossible to tell which numbers are represented by the bars. Thus, the bars needlessly hide the
- information these bars are all about.
- </li>
- <li class="itemize">What do the bar heights add up to? Is it 100% or 60%?
- </li>
- <li class="itemize">Does the bar for &#8220;very bad&#8221; represent 0 or&nbsp;1?
- </li>
- <li class="itemize">Why are the bars blue?</li></ul>
-<!--l. 464--><p class="indent"> You might argue that in the example the exact numbers are not important for the graphic. The important things
-is the &#8220;message,&#8221; which is that there are more &#8220;very good&#8221; and &#8220;good&#8221; ratings than &#8220;bad&#8221; and &#8220;very bad.&#8221;
-However, to convey this message either use a sentence that says so or use a graphic that conveys this message more
-clearly:
-
-
-<!--l. 503--><p class="indent"> <object data="pgfmanual-61.svg" width="424.91754 " height="224.69525 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 506--><p class="indent"> The above graphic has about the same information density as the table (about the same size and the same
-numbers are shown). In addition, one can directly &#8220;see&#8221; that there are more good or very good ratings than bad
-ones. One can also &#8220;see&#8221; that the number of people who gave no rating at all is not negligible, which is quite
-common for feedback forms.
-<!--l. 513--><p class="indent"> Charts are not always a good idea. Let us look at an example that I redrew from a pie chart in <span
-class="cmti-10">Die Zeit</span>, June
-4th, 2005:
-<!--l. 606--><p class="indent"> <object data="pgfmanual-62.svg" width="595.82195 " height="237.71802 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 608--><p class="indent"> This graphic has been redrawn in Ti<span
-class="cmti-10">k</span>Z, but the original looks very similar.
-<!--l. 611--><p class="indent"> At first sight, the graphic looks &#8220;nice and informative,&#8221; but there are a lot of things that went
-wrong:
- <ul class="itemize1">
- <li class="itemize">The chart is three dimensional. However, the shadings add nothing &#8220;information-wise,&#8221; at best, they
- distract.
- </li>
- <li class="itemize">In a 3D-pie-chart the relative sizes are very strongly distorted. For example, the area taken up by the
- gray color of &#8220;Braunkohle&#8221; is larger than the area taken up by the green color of &#8220;Kernenergie&#8221; <span
-class="cmti-10">despite</span>
- <span
-class="cmti-10">the fact that the percentage of Braunkohle is less than the percentage of Kernenergie</span>.
- </li>
- <li class="itemize">The 3D-distortion gets worse for small areas. The area of &#8220;Regenerative&#8221; somewhat larger than the
- area of &#8220;Erdgas.&#8221; The area of &#8220;Wind&#8221; is slightly smaller than the area of &#8220;Mineral&ouml;lprodukte&#8221; <span
-class="cmti-10">although</span>
- <span
-class="cmti-10">the percentage of Wind is nearly three times larger than the percentage of Mineral</span><span
-class="cmti-10">&ouml;lprodukte.</span>
-
-
- <!--l. 632--><p class="noindent">In the last case, the different sizes are only partly due to distortion. The designer(s) of the original
- graphic have also made the &#8220;Wind&#8221; slice too small, even taking distortion into account. (Just compare
- the size of &#8220;Wind&#8221; to &#8220;Regenerative&#8221; in general.)
- </li>
- <li class="itemize">According to its caption, this chart is supposed to inform us that coal was the most important energy
- source in Germany in 2004. Ignoring the strong distortions caused by the superfluous and misleading
- 3D-setup, it takes quite a while for this message to get across.
- <!--l. 644--><p class="noindent">Coal as an energy source is split up into two slices: one for &#8220;Steinkohle&#8221; and one for &#8220;Braunkohle&#8221; (two
- different kinds of coal). When you add them up, you see that the whole lower half of the pie chart is
- taken up by coal.
- <!--l. 649--><p class="noindent">The two areas for the different kinds of coal are not visually linked at all. Rather, two different colors
- are used, the labels are on different sides of the graphic. By comparison, &#8220;Regenerative&#8221; and &#8220;Wind&#8221;
- are very closely linked.
- </li>
- <li class="itemize">The color coding of the graphic follows no logical pattern at all. Why is nuclear energy green?
- Regenerative energy is light blue, &#8220;other sources&#8221; are blue. It seems more like a joke that the area for
- &#8220;Braunkohle&#8221; (which literally translates to &#8220;brown coal&#8221;) is stone gray, while the area for &#8220;Steinkohle&#8221;
- (which literally translates to &#8220;stone coal&#8221;) is brown.
- </li>
- <li class="itemize">The area with the lightest color is used for &#8220;Erdgas.&#8221; This area stands out most because of the brighter
- color. However, for this chart &#8220;Erdgas&#8221; is not really important at all.</li></ul>
-<!--l. 665--><p class="noindent">Edward Tufte calls graphics like the above &#8220;chart junk.&#8221;
-<!--l. 667--><p class="indent"> Here are a few recommendations that may help you avoid producing chart junk:
- <ul class="itemize1">
- <li class="itemize">Do not use 3D pie charts. They are <span
-class="cmti-10">evil</span>.
- </li>
- <li class="itemize">Consider using a table instead of a pie chart.
- </li>
- <li class="itemize">Due not apply colors randomly; use them to direct the readers&#8217;s focus and to group things.
- </li>
- <li class="itemize">Do not use background patterns, like a crosshatch or diagonal lines, instead of colors. They distract.
- Background patterns in information graphics are <span
-class="cmti-10">evil</span>.</li></ul>
-<!--l. 684--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.8 </span> <a
- id="x5-540004.8"></a>Attention and Distraction</h4>
-<!--l. 686--><p class="noindent">Pick up your favorite fiction novel and have a look at a typical page. You will notice that the page is very uniform.
-Nothing is there to distract the reader while reading; no large headlines, no bold text, no large white areas. Indeed,
-even when the author does wish to emphasize something, this is done using italic letters. Such letters blend nicely
-with the main text--at a distance you will not be able to tell whether a page contains italic letters, but you would
-notice a single bold word immediately. The reason novels are typeset this way is the following paradigm: Avoid
-distractions.
-<!--l. 696--><p class="indent"> Good typography (like good organization) is something you do <span
-class="cmti-10">not </span>notice. The job of typography is to make
-reading the text, that is, &#8220;absorbing&#8221; its information content, as effortless as possible. For a novel, readers absorb
-the content by reading the text line-by-line, as if they were listening to someone telling the story. In this situation
-anything on the page that distracts the eye from going quickly and evenly from line to line will make the text harder
-to read.
-<!--l. 705--><p class="indent"> Now, pick up your favorite weekly magazine or newspaper and have a look at a typical page. You will notice that
-there is quite a lot &#8220;going on&#8221; on the page. Fonts are used at different sizes and in different arrangements, the text is
-organized in narrow columns, typically interleaved with pictures. The reason magazines are typeset in this way is
-another paradigm: Steer attention.
-
-
-<!--l. 713--><p class="indent"> Readers will not read a magazine like a novel. Instead of reading a magazine line-by-line, we use headlines and
-short abstracts to check whether we want to read a certain article or not. The job of typography is to steer our
-attention to these abstracts and headlines, first. Once we have decided that we want to read an article, however, we
-no longer tolerate distractions, which is why the main text of articles is typeset exactly the same way as a
-novel.
-<!--l. 721--><p class="indent"> The two principles &#8220;avoid distractions&#8221; and &#8220;steer attention&#8221; also apply to graphics. When you design a graphic,
-you should eliminate everything that will &#8220;distract the eye.&#8221; At the same time, you should try to
-actively help the reader &#8220;through the graphic&#8221; by using fonts/colors/line widths to highlight different
-parts.
-<!--l. 727--><p class="indent"> Here is a non-exhaustive list of things that can distract readers:
- <ul class="itemize1">
- <li class="itemize">Strong contrasts will always be registered first by the eye. For example, consider the following two
- grids:
- <!--l. 737--><p class="noindent"><object data="pgfmanual-63.svg" width="161.5327 " height="54.86644 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
- <!--l. 740--><p class="noindent">Even though the left grid comes first in our normal reading order, the right one is much more likely to be seen
- first: The white-to-black contrast is higher than the gray-to-white contrast. In addition, there are more
- &#8220;places&#8221; adding to the overall contrast in the right grid.
- <!--l. 746--><p class="noindent">Things like grids and, more generally, help lines usually should not grab the attention of the readers and,
- hence, should be typeset with a low contrast to the background. Also, a loosely-spaced grid is less distracting
- than a very closely-spaced grid.
- </li>
- <li class="itemize">Dashed lines create many points at which there is black-to-white contrast. Dashed or dotted lines can be very
- distracting and, hence, should be avoided in general.
- <!--l. 755--><p class="noindent">Do not use different dashing patterns to differentiate curves in plots. You loose data points this way and the
- eye is not particularly good at &#8220;grouping things according to a dashing pattern.&#8221; The eye is <span
-class="cmti-10">much </span>better at
- grouping things according to colors.
- </li>
- <li class="itemize">Background patterns filling an area using diagonal lines or horizontal and vertical lines or just dots are almost
- always distracting and, usually, serve no real purpose.
- </li>
- <li class="itemize">Background images and shadings distract and only seldom add anything of importance to a
- graphic.
- </li>
- <li class="itemize">Cute little cliparts can easily draw attention away from the data.</li></ul>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse5.html" >next</a>] [<a
-href="pgfmanualse3.html" >prev</a>] [<a
-href="pgfmanualse3.html#tailpgfmanualse3.html" >prev-tail</a>] [<a
-href="pgfmanualse4.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse4.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse4.html"></a>
-</body></html>
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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>5 Input and Output Formats</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse4.html" >prev</a>] [<a
-href="pgfmanualse4.html#tailpgfmanualse4.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse5.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse5.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">5 </span> <a
- id="x6-550005"></a>Input and Output Formats</h3>
-<!--l. 12--><p class="noindent"><span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;was designed to be a flexible system. This is true both for the <span
-class="cmti-10">input </span>for <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;as well as for the <span
-class="cmti-10">output</span>. The
-present section explains which input formats there are and how they are supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. It also explains which
-different output formats can be produced.
-<!--l. 20--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">5.1 </span> <a
- id="x6-560005.1"></a>Supported Input Formats</h4>
-<!--l. 22--><p class="noindent"><span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not prescribe exactly how your input should be formatted. While it is <span
-class="cmti-10">customary </span>that,
-say, an opening brace starts a scope in <span class="TEX">T<span
-class="E">E</span>X</span>, this is by no means necessary. Likewise, it is <span
-class="cmti-10">customary</span>
-that environments start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\begin</span></span></span>, but <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;could not really care less about the exact command
-name.
-<!--l. 28--><p class="indent"> Even though <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;can be reconfigured, users can not. For this reason, certain <span
-class="cmti-10">input formats </span>specify a set of
-commands and conventions how input for <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;should be formatted. There are currently three &#8220;major&#8221; formats:
-Donald Knuth&#8217;s original <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plain</span></span></span> <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;format, Leslie Lamport&#8217;s popular <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format, and Hans Hangen&#8217;s
-Con<span class="TEX">T<span
-class="E">E</span>X</span>t format.
-<!--l. 36--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.1.1 </span> <a
- id="x6-570005.1.1"></a>Using the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;Format</h5>
-<!--l. 38--><p class="noindent">Using <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z&nbsp;with the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format is easy: You say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{pgf}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{tikz}</span></span></span>.
-Usually, that is all you need to do, all configuration will be done automatically and (hopefully) correctly.
-<!--l. 43--><p class="indent"> The style files used for the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format reside in the subdirectory <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex/pgf/</span></span></span> of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-system. Mainly,
-what these files do is to include files in the directory <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">generic/pgf</span></span></span>. For example, here is the content of the file
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex/pgf/frontends/tikz.sty</span></span></span>:
-<!--l. 48--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-64-" ><colgroup id="TBL-64-1g"><col
-id="TBL-64-1"></colgroup><tr
- valign="baseline" id="TBL-64-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-64-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Copyright</span><span
-class="cmsltt-10x-x-80">&nbsp;2005</span><span
-class="cmsltt-10x-x-80">&nbsp;by</span><span
-class="cmsltt-10x-x-80">&nbsp;Till</span><span
-class="cmsltt-10x-x-80">&nbsp;Tantau</span><span
-class="cmsltt-10x-x-80">&nbsp;&lt;tantau@users.sourceforge.net&gt;.</span>
-<br><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;This</span><span
-class="cmsltt-10x-x-80">&nbsp;program</span><span
-class="cmsltt-10x-x-80">&nbsp;can</span><span
-class="cmsltt-10x-x-80">&nbsp;be</span><span
-class="cmsltt-10x-x-80">&nbsp;redistributed</span><span
-class="cmsltt-10x-x-80">&nbsp;and/or</span><span
-class="cmsltt-10x-x-80">&nbsp;modified</span><span
-class="cmsltt-10x-x-80">&nbsp;under</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;terms</span>
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;GNU</span><span
-class="cmsltt-10x-x-80">&nbsp;Public</span><span
-class="cmsltt-10x-x-80">&nbsp;License,</span><span
-class="cmsltt-10x-x-80">&nbsp;version</span><span
-class="cmsltt-10x-x-80">&nbsp;2.</span>
-<br>
-<br><span
-class="cmtt-8">\RequirePackage{pgf,calc,pgffor,pgflibraryplothandlers,xkeyval}</span>
-<br>
-<br><span
-class="cmtt-8">\input{tikz.code}</span>
-<br>
-<br><span
-class="cmtt-8">\endinput</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 61--><p class="indent"> The files in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">generic/pgf</span></span></span> directory do the actual work.
-<!--l. 65--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.1.2 </span> <a
- id="x6-580005.1.2"></a>Using the Plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;Format</h5>
-<!--l. 67--><p class="noindent">When using the plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;format, you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input{pgf.tex}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input{tikz.tex}</span></span></span>. Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\begin{pgfpicture}</span></span></span>
-and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\end{pgfpicture}</span></span></span> you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpicture</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endpicture</span></span></span>.
-<!--l. 71--><p class="indent"> Unlike for the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format, <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 not as good at discerning the appropriate configuration for the plain
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;format. In particular, it can only automatically determine the correct output format if you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span>
-plus <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. For all other output formats you need to set the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> to the correct value. See the
-description of using output formats later on.
-<!--l. 78--><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>&nbsp;was originally written for use with <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;and this shows in a number of places. Nevertheless, the plain
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;support is reasonably good.
-<!--l. 82--><p class="indent"> Like the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;style files, the plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;files like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz.tex</span></span></span> also just include the correct <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz.code.tex</span></span></span>
-file.
-
-
-<!--l. 87--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.1.3 </span> <a
- id="x6-590005.1.3"></a>Using the Con<span class="TEX">T<span
-class="E">E</span>X</span>t Format</h5>
-<!--l. 89--><p class="noindent">Currently, there is no special support for the Con<span class="TEX">T<span
-class="E">E</span>X</span>t format. Rather, you have to use <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z&nbsp;as if you
-were using the plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;format when using Con<span class="TEX">T<span
-class="E">E</span>X</span>t. This may change in the future.
-<!--l. 98--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">5.2 </span> <a
- id="x6-600005.2"></a>Supported Output Formats</h4>
-<!--l. 101--><p class="noindent">An output format is a format in which <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;outputs the text it has typeset. Producing the output is (conceptually)
-a two-stage process:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-60002x1"></a><span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;typesets your text and graphics. The result of this typesetting is mainly a long list of
- letter-coordinate pairs, plus (possibly) some &#8220;special&#8221; commands. This long list of pairs is written to
- something called a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-60004x2"></a>Some other program reads this <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file and translates the letter-coordinate pairs into, say, PostScript
- commands for placing the given letter at the given coordinate.</li></ol>
-<!--l. 115--><p class="indent"> The classical example of this process is the combination of <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">dvips</span></span></span>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> program (which is just
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> program called with the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>-macros preinstalled) produces a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file as its output. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>
-program takes this output and produces a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span>-file (a PostScript) file. Possibly, this file is further converted using,
-say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ps2pdf</span></span></span>, whose name is supposed to mean &#8220;PostScript to PDF.&#8221; Another example of programs using this
-process is the combination of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span> program takes a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file as input and translates the
-letter-coordinate pairs therein into <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>-commands, resulting in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> file directly. Finally, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> is also a
-program that takes a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file and produces an output, this time it is a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.html</span></span></span> file. The programs <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span>
-and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> are special: They directly produce a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>-file without the intermediate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-stage.
-However, from the programmer&#8217;s point of view they behave exactly as if there where an intermediate
-stage.
-<!--l. 132--><p class="indent"> Normally, <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;only produces letter-coordinate pairs as its &#8220;output.&#8221; This obviously makes is difficult tho draw,
-say, a curve. For this, &#8220;special&#8221; commands can be used. Unfortunately, these special commands are not the same for
-the different programs that process the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file. Indeed, every program that takes a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file as input has a totally
-different syntax for the special commands.
-<!--l. 140--><p class="indent"> One of the main jobs of <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 to &#8220;abstract way&#8221; the difference in the syntax of the different programs.
-However, this means that support for each program has to be &#8220;programmed,&#8221; which is a time-consuming and
-complicated process.
-<!--l. 146--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.2.1 </span> <a
- id="x6-610005.2.1"></a>Selecting the Backend Driver</h5>
-<!--l. 148--><p class="noindent">When <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;typesets your document, it does not know which program you are going to use to transform the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file. If your <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file does not contain any special commands, this would be fine; but these days almost all
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-files contain lots of special commands. It is thus necessary to tell <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;which program you are going to use
-later on.
-<!--l. 155--><p class="indent"> Unfortunately, there is no &#8220;standard&#8221; way of telling this to <span class="TEX">T<span
-class="E">E</span>X</span>. For the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format a sophisticated
-mechanism exists inside the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphics</span></span></span> package and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;plugs into this mechanism. For other formats and when this
-plugging does not work as expected, it is necessary 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;directly which program you are going to use. This is
-done by redefining the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> to an appropriate value <span
-class="cmti-10">before </span>you load <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>. If you are going to use
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> program, you set this macro to the value <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-dvips.def</span></span></span>; if you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span>, you set it to
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-pdftex.def</span></span></span>; and so on. In the following, details of the support of the different programs are
-discussed.
-<!--l. 168--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.2.2 </span> <a
- id="x6-620005.2.2"></a>Producing PDF Output</h5>
-<!--l. 170--><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;supports three programs that produce <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;output (<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;means &#8220;portable document format&#8221; and was invented
-by the Adobe company): <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">vtex</span></span></span>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> program is the same as the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> program: it
-uses a different input format, but the output is exactly the same.
-
-
-<!--l. 176--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox1">File <span
-class="cmtt-10">pgfsys-pdftex.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-62001"></a>
-<a
- id="dx6-62002"></a>
- <!--l. 177--><p class="noindent">This is the driver file for use with pdf<span class="TEX">T<span
-class="E">E</span>X</span>, that is, with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> command. It includes
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-pdf.def</span></span></span>.
- <!--l. 181--><p class="noindent">This driver has the &#8220;complete&#8221; functionality. This means, everything <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;&#8220;can do at all&#8221; is
- implemented in this driver. </dd></dl>
-<!--l. 186--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox2">File <span
-class="cmtt-10">pgfsys-dvipdfm.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-62003"></a>
-<a
- id="dx6-62004"></a>
- <!--l. 187--><p class="noindent">This is a driver file for use with (<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">la</span></span></span>)<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>. It includes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-pdf.def</span></span></span>.
- <!--l. 190--><p class="noindent">This driver supports most of <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 features, but there are some restrictions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-62006x1"></a>In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;mode it uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> for the graphics inclusion and does not support masking.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-62008x2"></a>In plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode it does not support image inclusion.</li></ol>
- </dd></dl>
-<!--l. 201--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox3">File <span
-class="cmtt-10">pgfsys-vtex.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-62009"></a>
-<a
- id="dx6-62010"></a>
- <!--l. 202--><p class="noindent">This is the driver file for use with the commercial <span
-class="cmcsc-10"><small
-class="small-caps">V</small><small
-class="small-caps">T</small><small
-class="small-caps">E</small><small
-class="small-caps">X</small> </span>program. Even though is will produce <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>
- output, it includes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-postscript.def</span></span></span>. Note that the <span
-class="cmcsc-10"><small
-class="small-caps">V</small><small
-class="small-caps">T</small><small
-class="small-caps">E</small><small
-class="small-caps">X</small> </span>program can produce <span
-class="cmti-10">both</span>
- Postscript and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>output, depending on the command line parameters. However, whether you produce
- Postscript or <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>output does not change anything with respect to the driver.
- <!--l. 211--><p class="noindent">This driver supports most of <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 features, except for the following restrictions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-62012x1"></a>In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;mode it uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> for the graphics inclusion and does not support masking.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-62014x2"></a>In plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode it does not support image inclusion.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x6-62016x3"></a>Shading is fully implemented, but yields the same quality as the implementation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x6-62018x4"></a>Opacity is not implemented at all.</li></ol>
- </dd></dl>
-<!--l. 227--><p class="indent"> It is also possible to produce a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>-file by first producing a PostScript file (see below) and then using a
-PostScript-to-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;conversion program like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ps2pdf</span></span></span> or the Acrobat Distiller.
-<!--l. 232--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.2.3 </span> <a
- id="x6-630005.2.3"></a>Producing PostScript Output</h5>
-<!--l. 234--><p class="noindent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox4">File <span
-class="cmtt-10">pgfsys-dvips.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-63001"></a>
-<a
- id="dx6-63002"></a>
- <!--l. 235--><p class="noindent">This is a driver file for use with (<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">la</span></span></span>)<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. It includes
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-postscript.def</span></span></span>.
- <!--l. 238--><p class="noindent">This driver also supports most of <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 features, except for the following restrictions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-63004x1"></a>In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;mode it uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> for the graphics inclusion and does not support masking.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-63006x2"></a>In plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode it does not support image inclusion.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x6-63008x3"></a>Shading is fully implemented, but the results will not be as good as with a driver producing <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>
- as output.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x6-63010x4"></a>Opacity works only in conjunction with newer versions of GhostScript.</li></ol>
- </dd></dl>
-<!--l. 255--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox5">File <span
-class="cmtt-10">pgfsys-textures.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-63011"></a>
-<a
- id="dx6-63012"></a>
- <!--l. 256--><p class="noindent">This is a driver file for use with the <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">E</small><small
-class="small-caps">X</small><small
-class="small-caps">T</small><small
-class="small-caps">U</small><small
-class="small-caps">R</small><small
-class="small-caps">E</small><small
-class="small-caps">S</small> </span>program. It includes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-postscript.def</span></span></span>.
- <!--l. 259--><p class="noindent">This driver has exactly the same restrictions as the driver for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. </dd></dl>
-<!--l. 263--><p class="noindent">You can also use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">vtex</span></span></span> program together with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-vtex.def</span></span></span> to produce Postscript output.
-<!--l. 268--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.2.4 </span> <a
- id="x6-640005.2.4"></a>Producing HTML / SVG Output</h5>
-<!--l. 270--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> program converts <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-files to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.html</span></span></span>-files. While the <span
-class="cmcsc-10"><small
-class="small-caps">H</small><small
-class="small-caps">T</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small></span>-format cannot be used to draw graphics,
-the <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small></span>-format can. Using the following driver, you can ask <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to produce an <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small></span>-picture for each <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;graphic in
-your text.
-<!--l. 276--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox6">File <span
-class="cmtt-10">pgfsys-tex4ht.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-64001"></a>
-<a
- id="dx6-64002"></a>
- <!--l. 277--><p class="noindent">This is a driver file for use with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> program. It includes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-svg.def</span></span></span>.
- <!--l. 280--><p class="noindent">When using this driver you should be aware of the following restrictions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-64004x1"></a>In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;mode it uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> for the graphics inclusion.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-64006x2"></a>In plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode it does not support image inclusion.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x6-64008x3"></a>Text inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpicture</span></span></span>s is not supported very well. The reason is that the <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>specification
- currently does not support text very well and it is also not possible to correctly &#8220;escape back&#8221; to
- <span
-class="cmcsc-10"><small
-class="small-caps">H</small><small
-class="small-caps">T</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small></span>. All these problems will hopefully disappear in the future, but currently only two kinds of
- text work reasonably well: First, plain text without math mode, special characters or anything
- else special. Second, <span
-class="cmti-10">very </span>simple mathematical text that contains subscripts or superscripts. Even
- then, variables are not correctly set in italics and, in general, text simple does not look very nice.
-
-
- </li>
- <li class="enumerate" value="4"
-><a
- id="x6-64010x4"></a>If you use text that contains anything special, even something as simple as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">$\alpha$</span></span></span>, this may
- corrupt the graphic since <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text4ht</span></span></span> does not always produce valid <span
-class="cmcsc-10"><small
-class="small-caps">X</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small> </span>code. So, once more, <span
-class="cmti-10">stick</span>
- <span
-class="cmti-10">to very simple node text inside graphics. </span>Sorry.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x6-64012x5"></a>Unlike for other output formats, the bounding box of a picture &#8220;really crops&#8221; the picture.</li></ol>
- <!--l. 309--><p class="noindent">The driver basically works as follows: When a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> is started, appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span> commands are
- used to directed the output of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> to a new file called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\jobname-xxx.svg</span></span></span>, where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xxx</span></span></span> is a
- number that is increased for each graphic. Then, till the end of the picture, each (system layer)
- graphic command creates a specials that insert appropriate <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>literal text into the output file.
- The exact details are a bit complicated since the imaging model and the processing model of
- PostScript/<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;and <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>are not quite the same; but they are &#8220;close enough&#8221; for <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 purposes.
- </dd></dl>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse4.html" >prev</a>] [<a
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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>6 Design Principles</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)">
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- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse7.html" >next</a>] [<a
-href="#tailpgfmanualse6.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse6.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">6 </span> <a
- id="x7-660006"></a>Design Principles</h3>
-<!--l. 10--><p class="noindent">This section describes the design principles behind the Ti<span
-class="cmti-10">k</span>Z&nbsp;frontend, where Ti<span
-class="cmti-10">k</span>Z&nbsp;means &#8220;Ti<span
-class="cmti-10">k</span>Z&nbsp;ist <span
-class="cmti-10">kein</span>
-Zeichenprogramm.&#8221; To use Ti<span
-class="cmti-10">k</span>Z, as a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;user say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{tikz}</span></span></span> somewhere in the preamble, as a plain
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;user say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;tikz.tex</span></span></span>. Ti<span
-class="cmti-10">k</span>Z&#8217;s job is to make your life easier by providing an easy-to-learn and
-easy-to-use syntax for describing graphics.
-<!--l. 18--><p class="indent"> The commands and syntax of Ti<span
-class="cmti-10">k</span>Z&nbsp;were influenced by several sources. The basic command names and the
-notion of path operations is taken from <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>, the option mechanism comes from <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>, the notion of
-styles is reminiscent of <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small></span>. To make it all work together, some compromises were necessary. I also added some
-ideas of my own, like meta-arrows and coordinate transformations.
-<!--l. 26--><p class="indent"> The following basic design principles underlie Ti<span
-class="cmti-10">k</span>Z:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x7-66002x1"></a>Special syntax for specifying points.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x7-66004x2"></a>Special syntax for path specifications.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x7-66006x3"></a>Actions on paths.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x7-66008x4"></a>Key-value syntax for graphic parameters.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x7-66010x5"></a>Special syntax for nodes.
- </li>
- <li class="enumerate" value="6"
-><a
- id="x7-66012x6"></a>Special syntax for trees.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x7-66014x7"></a>Grouping of graphic parameters.
- </li>
- <li class="enumerate" value="8"
-><a
- id="x7-66016x8"></a>Coordinate transformation system.</li></ol>
-<!--l. 40--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.1 </span> <a
- id="x7-670006.1"></a>Special Syntax For Specifying Points</h4>
-<!--l. 42--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;provides a special syntax for specifying points and coordinates. In the simplest case, you provide two
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions, separated by commas, in round brackets as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,2pt)</span></span></span>.
-<!--l. 46--><p class="indent"> You can also specify a point in polar coordinates by using a colon instead of a comma as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>, which
-means &#8220;1cm in a 30 degrees direction.&#8221;
-<!--l. 50--><p class="indent"> If you do not provide a unit, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,1)</span></span></span>, you specify a point in <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 <span
-class="cmmi-10">xy</span>-coordinate system. By default, the unit
-<span
-class="cmmi-10">x</span>-vector goes 1cm to the right and the unit <span
-class="cmmi-10">y</span>-vector goes 1cm upward.
-<!--l. 54--><p class="indent"> By specifying three numbers as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1,1)</span></span></span> you specify a point in <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 <span
-class="cmmi-10">xyz</span>-coordinate system.
-<!--l. 57--><p class="indent"> It is also possible to use an anchor of a previously defined shape as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(first</span><span
-class="cmtt-10">&nbsp;node.south)</span></span></span>.
-<!--l. 60--><p class="indent"> You can add two plus signs before a coordinate as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++(1cm,0pt)</span></span></span>. This means &#8220;1cm to the right of the last
-point used.&#8221; This allows you to easily specify relative movements. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span><span
-class="cmtt-10">&nbsp;++(1,0)</span><span
-class="cmtt-10">&nbsp;++(0,1)</span></span></span> specifies
-the three coordinates <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span></span></span>, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,0)</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,1)</span></span></span>.
-<!--l. 66--><p class="indent"> Finally, instead of two plus signs, you can also add a single one. This also specifies a point in a relative
-manner, but it does not &#8220;change&#8221; the current point used in subsequent relative commands. For example,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span><span
-class="cmtt-10">&nbsp;+(1,0)</span><span
-class="cmtt-10">&nbsp;+(0,1)</span></span></span> specifies the three coordinates <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span></span></span>, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,0)</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
-
-
-<!--l. 72--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.2 </span> <a
- id="x7-680006.2"></a>Special Syntax For Path Specifications</h4>
-<!--l. 74--><p class="noindent">When creating a picture using Ti<span
-class="cmti-10">k</span>Z, your main job is the specification of <span
-class="cmti-10">paths</span>. A path is a series of straight or
-curved lines, which need not be connected. Ti<span
-class="cmti-10">k</span>Z&nbsp;makes it easy to specify paths, partly using the syntax of
-<span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">P</small><small
-class="small-caps">O</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small></span>. For example, to specify a triangular path you use
-<!--l. 79--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-66-" ><colgroup id="TBL-66-1g"><col
-id="TBL-66-1"></colgroup><tr
- valign="baseline" id="TBL-66-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-66-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">(5pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,5pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 82--><p class="indent"> and you get <object data="pgfmanual-65.svg" width="8.19995 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> when you draw this path.
-<!--l. 85--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.3 </span> <a
- id="x7-690006.3"></a>Actions on Paths</h4>
-<!--l. 87--><p class="noindent">A path is just a series of straight and curved lines, but it is not yet specified what should happen with it. One
-can <span
-class="cmti-10">draw </span>a path, <span
-class="cmti-10">fill </span>a path, <span
-class="cmti-10">shade </span>it, <span
-class="cmti-10">clip </span>it, or do any combination of these. Drawing (also known
-as <span
-class="cmti-10">stroking</span>) can be thought of as taking a pen of a certain thickness and moving it along the path,
-thereby drawing on the canvas. Filling means that the interior of the path is filled with a uniform color.
-Obviously, filling makes sense only for <span
-class="cmti-10">closed </span>paths and a path is automatically closed prior to filling, if
-necessary.
-<!--l. 97--><p class="indent"> Given a path as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex);</span></span></span>, you can draw it by adding the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex);</span></span></span>, which yields <object data="pgfmanual-66.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command is just an abbreviation for
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span></span></span>. To fill a path, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> option or the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> command, which is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill]</span></span></span>.
-The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> command is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill,draw]</span></span></span>. Shading is caused by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option (there
-are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shadedraw</span></span></span> abbreviations) and clipping by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option. There is is also a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command,
-which does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span>, but not commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\drawclip</span></span></span>. Use, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw[clip]</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw,clip]</span></span></span> instead.
-<!--l. 110--><p class="indent"> All of these commands can only be used inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environments.
-<!--l. 113--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;allows you to use different colors for filling and stroking.
-<!--l. 116--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.4 </span> <a
- id="x7-700006.4"></a>Key-Value Syntax for Graphic Parameters</h4>
-<!--l. 117--><p class="noindent">Whenever Ti<span
-class="cmti-10">k</span>Z&nbsp;draws or fills a path, a large number of graphic parameters influenced the rendering. Examples
-include the colors used, the dashing pattern, the clipping area, the line width, and many others. In Ti<span
-class="cmti-10">k</span>Z, all these
-options are specified as lists of so called key-value pairs, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=red</span></span></span>, that are passed as optional parameters to
-the path drawing and filling commands. This usage is similar to <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>. For example, the following will draw a
-thick, red triangle;
-<!--l. 125--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-67-" ><colgroup id="TBL-67-1g"><col
-id="TBL-67-1"><col
-id="TBL-67-2"></colgroup><tr
- valign="baseline" id="TBL-67-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-67-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-67.svg" width="41.6035 " height="3.66666 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-67-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=2pt,color=red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 129--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.5 </span> <a
- id="x7-710006.5"></a>Special Syntax for Specifying Nodes</h4>
-<!--l. 130--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;introduces a special syntax for adding text or, more generally, nodes to a graphic. When you specify a path,
-add nodes as in the following example:
-<!--l. 133--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-68-" ><colgroup id="TBL-68-1g"><col
-id="TBL-68-1"><col
-id="TBL-68-2"></colgroup><tr
- valign="baseline" id="TBL-68-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-68-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-68.svg" width="55.3141 " height="47.74796 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-68-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{text}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 136--><p class="indent"> Nodes are inserted at the current position of the path, but only <span
-class="cmti-10">after </span>the path has been rendered. When special
-options are given, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(1,1)</span><span
-class="cmtt-10">&nbsp;node[circle,draw]</span><span
-class="cmtt-10">&nbsp;{text};</span></span></span>, the text is not just put at the current position.
-Rather, it is surrounded by a circle and this circle is &#8220;drawn.&#8221;
-<!--l. 143--><p class="indent"> You can add a name to a node for later reference either by using the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>or by stating the
-node name in parentheses outside the text as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node[circle](name){text}</span></span></span>.
-<!--l. 147--><p class="indent"> Predefined shapes include <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>, but it is possible (though a bit challenging) to
-define new shapes.
-
-
-<!--l. 150--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.6 </span> <a
- id="x7-720006.6"></a>Special Syntax for Specifying Trees</h4>
-<!--l. 152--><p class="noindent">In addition to the &#8220;node syntax,&#8221; Ti<span
-class="cmti-10">k</span>Z&nbsp;also introduces a special syntax for drawing trees. The syntax is intergrated
-with the special node syntax and only few new commands need to be remebered. In essence, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> can be followed
-by any number of children, each introduced by the keyword <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. The children are nodes themselves, each of which
-may have children in turn.
-<!--l. 159--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-69-" ><colgroup id="TBL-69-1g"><col
-id="TBL-69-1"><col
-id="TBL-69-2"></colgroup><tr
- valign="baseline" id="TBL-69-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-69-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-69.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-69-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 170--><p class="indent"> Since trees are made up from nodes, it is possible to use options to modify the way trees are drawn. Here are two
-examples of the above tree, redrawn with different options:
-<!--l. 174--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-70-" ><colgroup id="TBL-70-1g"><col
-id="TBL-70-1"><col
-id="TBL-70-2"></colgroup><tr
- valign="baseline" id="TBL-70-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-70-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-70.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-70-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;fork</span><span
-class="cmtt-8">&nbsp;down]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill=red!30,rounded</span><span
-class="cmtt-8">&nbsp;corners]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[red,-o,thick,draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 187--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-71-" ><colgroup id="TBL-71-1g"><col
-id="TBL-71-1"><col
-id="TBL-71-2"></colgroup><tr
- valign="baseline" id="TBL-71-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-71-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-71.svg" width="153.7414 " height="123.29987 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-71-1-2"
-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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[parent</span><span
-class="cmtt-8">&nbsp;anchor=east,child</span><span
-class="cmtt-8">&nbsp;anchor=west,grow=east]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[ball</span><span
-class="cmtt-8">&nbsp;color=red,circle,text=white]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[draw,dashed,thick,red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</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>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 201--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.7 </span> <a
- id="x7-730006.7"></a>Grouping of Graphic Parameters</h4>
-<!--l. 203--><p class="noindent">Graphic parameters should often apply to several path drawing or filling commands. For example, we may wish to
-draw numerous lines all with the same line width of 1pt. For this, we put these commands in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span>
-environment that takes the desired graphic options as an optional parameter. Naturally, the specified graphic
-parameters apply only to the drawing and filling commands inside the environment. Furthermore, nested
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments or individual drawing commands can override the graphic parameters of outer
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments. In the following example, three red lines, two green lines, and one blue line are
-drawn:
-<!--l. 214--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-72-" ><colgroup id="TBL-72-1g"><col
-id="TBL-72-1"><col
-id="TBL-72-2"></colgroup><tr
- valign="baseline" id="TBL-72-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-72-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-72.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-72-1-2"
-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;\begin{scope}[color=red]</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;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,10mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,10mm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;8mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;8mm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;6mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;6mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[color=green]</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;\draw</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;</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;(0mm,</span><span
-class="cmtt-8">&nbsp;4mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;4mm);</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;\draw</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;</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;(0mm,</span><span
-class="cmtt-8">&nbsp;2mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;2mm);</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;\draw[color=blue]</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;0mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;0mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 229--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment itself also behaves like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment, that is, you can
-specify graphic parameters using an optional argument. These optional apply to all commands in the
-picture.
-<!--l. 235--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.8 </span> <a
- id="x7-740006.8"></a>Coordinate Transformation System</h4>
-<!--l. 237--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;relies entirely on <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 <span
-class="cmti-10">coordinate </span>transformation system to perform transformations. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;also supports
-<span
-class="cmti-10">canvas </span>transformations, a more low-level transformation system, but this system is not accessible from Ti<span
-class="cmti-10">k</span>Z. There
-are two reasons for this: First, the canvas transformation must be used with great care and often results in &#8220;bad&#8221;
-graphics with changing line width and text in wrong sizes. Second, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;looses track of where nodes and shapes are
-positioned when canvas transformations are used.
-<!--l. 246--><p class="indent"> For more details on the difference between coordinate transformations and canvas transformations see
-Section&nbsp;<a
-href="pgfmanualse18.html#x19-19100018.4">18.4<!--tex4ht:ref: section-design-transformations --></a>.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse7.html" >next</a>] [<a
-href="pgfmanualse6.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse6.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse6.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse7.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse7.html
deleted file mode 100644
index 75de15f25b2..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse7.html
+++ /dev/null
@@ -1,1061 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>7 Hierarchical Structures:
-Package, Environments, Scopes, and Styles</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse8.html" >next</a>] [<a
-href="pgfmanualse6.html" >prev</a>] [<a
-href="pgfmanualse6.html#tailpgfmanualse6.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse7.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse7.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">7 </span> <a
- id="x8-750007"></a>Hierarchical Structures:
-<br class="newline">Package, Environments, Scopes, and Styles</h3>
-<!--l. 12--><p class="noindent">The present section explains how your files should be structured when you use Ti<span
-class="cmti-10">k</span>Z. On the top level, you need to
-include the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz</span></span></span> package. In the main text, each graphic needs to be put in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. Inside
-these environments, you can use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments to create internal groups. Inside the scopes you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span>
-commands to actually draw something. On all levels (except for the package level), graphic options can be given
-that apply to everything within the environment.
-<!--l. 23--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.1 </span> <a
- id="x8-760007.1"></a>Loading the Package</h4>
-<!--l. 25--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox7"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">tikz</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx8-76001"></a>
-<a
- id="dx8-76002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox8"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">tikz</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox9"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">tikz</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 26--><p class="noindent">This package does not have any options.
- <!--l. 28--><p class="noindent">This will automatically load the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package and several other stuff that Ti<span
-class="cmti-10">k</span>Z&nbsp;needs (like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xkeyval</span></span></span>
- package).
- <!--l. 31--><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;needs to know what <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;driver you are intending to use. In most cases <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 clever enough
- to determine the correct driver for you; this is true in particular if you <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>. Currently, the only
- situation where <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;cannot know the driver &#8220;by itself&#8221; is when you use plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;or Con<span class="TEX">T<span
-class="E">E</span>X</span>t
- together with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>. In this case, you have to write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\def\pgfsysdriver{pgfsys-dvipdfm.def}</span></span></span>
- <span
-class="cmti-10">before </span>you input <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz.tex</span></span></span>. </dd></dl>
-<!--l. 42--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.2 </span> <a
- id="x8-770007.2"></a>Creating a Picture</h4>
-<!--l. 44--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">7.2.1 </span> <a
- id="x8-780007.2.1"></a>Creating a Picture Using an Environment</h5>
-<!--l. 46--><p class="noindent">The &#8220;outermost&#8221; scope of Ti<span
-class="cmti-10">k</span>Z&nbsp;is the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. You may give drawing commands only
-inside this environment, giving them outside (as is possible in many other packages) will result in
-chaos.
-<!--l. 51--><p class="indent"> In Ti<span
-class="cmti-10">k</span>Z, the way graphics are rendered is strongly influenced by graphic options. For example, there is an option
-for setting the color used for drawing, another for setting the color used for filling, and also more obscure ones like
-the option for setting the prefix used in the filenames of temporary files written while plotting functions using an
-external program. The graphic options are nearly always specified in a so-called key-value style. (The &#8220;nearly
-always&#8221; refers to the name of nodes, which can also be specified differently.) All graphic options are local to the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> to which they apply.
-<!--l. 61--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox10"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">tikzpicture</span><span
-class="cmtt-10">}</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox11"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox12"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">tikzpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx8-78001"></a>
-<a
- id="dx8-78002"></a>
- <!--l. 62--><p class="noindent">All Ti<span
-class="cmti-10">k</span>Z&nbsp;commands should be given inside this environment, except for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzstyle</span></span></span> command.
- Unlike other packages, it is not possible to use, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span> outside this environment and
- doing so will result in chaos. For Ti<span
-class="cmti-10">k</span>Z, commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> are only defined inside this environment,
- so there is little chance that you will do something wrong here.
- <!--l. 69--><p class="noindent">When this environment is encountered, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are parsed. All options given here will apply to
- the whole picture.
- <!--l. 73--><p class="noindent">Next, the contents of the environment is processed and the graphic commands therein are put into a box.
- Non-graphic text is suppressed as well as possible, but non-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span>
- environment should not produce any &#8220;output&#8221; since this may totally scramble the positioning system
- of the backend drivers. The suppressing of normal text, by the way, is done by temporarily switching
- the font to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nullfont</span></span></span>. You can, however, &#8220;escape back&#8221; to normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;typesetting. This happens,
- for example, when you specify a node.
- <!--l. 83--><p class="noindent">At the end of the environment, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;tries to make a good guess at a good guess at the bounding
- box of the graphic and then resizes the box such that the box has this size. To &#8220;make its guess,&#8221;
- everytime <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;encounters a coordinate, it updates the bound box&#8217;s size such that it encompasses all
- these coordinates. This will usually give a good approximation at the bounding box, but will not always
- be accurate. First, the line thickness is not taken into account. Second, controls points of a curve often
- lie far &#8220;outside&#8221; the curve and make the bounding box too large. In this case, you should use the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box]</span></span></span> option.
- <!--l. 95--><p class="noindent">The following option influences the baseline of the resulting picture:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">baseline</span><a
- id="dx8-78003"></a><a
- id="dx8-78004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span> Normally, the lower end of the picture is put on the baseline of the
- surrounding text. For example, when you give the code <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz\draw(0,0)circle(.5ex);</span></span></span>,
- <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 find out that the lower end of the picture is at <span
-class="cmsy-10">-</span><span
-class="cmmi-10">.</span>5ex and that the upper end is at <span
-class="cmmi-10">.</span>5ex.
- Then, the lower end will be put on the baseline, resulting in the following: <object data="pgfmanual-73.svg" width="7.27402 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
- <!--l. 106--><p class="noindent">Using this option, you can specify that the picture should be raised or lowered such that the height
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is on the baseline. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz[baseline=0pt]\draw(0,0)circle(.5ex);</span></span></span>
- yields <object data="pgfmanual-74.svg" width="7.27402 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> since, now, the baseline is on the height of the <span
-class="cmmi-10">x</span>-axis. If you omit the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimensions</span><span
-class="cmsy-10">&gt;</span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0pt</span></span></span>
- is assumed as default.
- <!--l. 113--><p class="noindent">This options is often useful for &#8220;inlined&#8221; graphics as in
- <!--l. 114--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-73-" ><colgroup id="TBL-73-1g"><col
-id="TBL-73-1"><col
-id="TBL-73-2"></colgroup><tr
- valign="baseline" id="TBL-73-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-73-1-1"
-class="td11"> &nbsp;<span
-class="cmmi-10">A</span> <object data="pgfmanual-75.svg" width="18.75542 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <span
-class="cmmi-10">B</span> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-73-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">$A</span><span
-class="cmtt-8">&nbsp;\mathbin{\tikz[baseline]</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;&gt;]</span><span
-class="cmtt-8">&nbsp;(0pt,.5ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3ex,.5ex);}</span><span
-class="cmtt-8">&nbsp;B$</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">execute at begin picture</span><a
- id="dx8-78005"></a><a
- id="dx8-78006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>This option can be used to install some code that will be executed at
- the beginning of the picture. This option must be given in the argument of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span>
- environment itself since this option will not have an effect otherwise. After all, the picture has already
- &#8220;started&#8221; later on.
- <!--l. 125--><p class="noindent">This option is mainly used in styles like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">every</span><span
-class="cmtt-10">&nbsp;picture</span></span></span> style to execute certain code at the start of a
- picture.
- </li>
- <li class="itemize"><span
-class="cmtt-10">execute at end picture</span><a
- id="dx8-78007"></a><a
- id="dx8-78008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>This option installs some code that will be executed at the end of the
- picture. Using this option multiple times will cause the code to accumulate. This option must also be
- given in the optional argument of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment.
-
-
- <!--l. 134--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-74-" ><colgroup id="TBL-74-1g"><col
-id="TBL-74-1"><col
-id="TBL-74-2"></colgroup><tr
- valign="baseline" id="TBL-74-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-74-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-76.svg" width="95.76155 " height="56.93579 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-74-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[execute</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;end</span><span
-class="cmtt-8">&nbsp;picture=</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</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;\begin{pgfonlayer}{background}</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;\path[fill=yellow,rounded</span><span
-class="cmtt-8">&nbsp;corners]</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;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.south</span><span
-class="cmtt-8">&nbsp;west)</span><span
-class="cmtt-8">&nbsp;rectangle</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;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.north</span><span
-class="cmtt-8">&nbsp;east);</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;\end{pgfonlayer}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{X};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{Y};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- <!--l. 149--><p class="noindent">All options &#8220;end&#8221; at the end of the picture. To set an option &#8220;globally&#8221; you can use the following
- style:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every picture</span><a
- id="dx8-78009"></a><a
- id="dx8-78010"></a> This style is installed at the beginning of each picture.
- <!--l. 154--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-75-" ><colgroup id="TBL-75-1g"><col
-id="TBL-75-1"></colgroup><tr
- valign="baseline" id="TBL-75-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-75-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;picture}=[semithick]</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
- </dd></dl>
-<!--l. 160--><p class="indent"> In plain <span class="TEX">T<span
-class="E">E</span>X</span>, you should use instead the following commands:
-<!--l. 162--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox13"><span
-class="cmtt-10">\tikzpicture</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox14"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox15"><span
-class="cmtt-10">\endtikzpicture</span></span> </dt><dd
-class="description">
-<a
- id="dx8-78011"></a>
-<a
- id="dx8-78012"></a>
- </dd></dl>
-<!--l. 166--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">7.2.2 </span> <a
- id="x8-790007.2.2"></a>Creating a Picture Using a Command</h5>
-<!--l. 168--><p class="noindent">The following two commands are used for &#8220;small&#8221; graphics.
-<!--l. 170--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox16"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</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">commands</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx8-79001"></a>
- <!--l. 171--><p class="noindent">This command places the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment and adds a semicolon at
- the end. This is just a convenience.
- <!--l. 175--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>may not contain a paragraph (an empty line). This is a precaution to ensure that
- users really use this command only for small graphics.
- <!--l. 179--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz{\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex)}</span></span></span> yields <object data="pgfmanual-77.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </dd></dl>
-<!--l. 184--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox17"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">;</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx8-79002"></a>
- <!--l. 185--><p class="noindent">If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>does not start with an opening brace, the end of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>is the next semicolon that is
- encountered.
- <!--l. 188--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex);</span></span></span> yields <object data="pgfmanual-78.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </dd></dl>
-<!--l. 194--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">7.2.3 </span> <a
- id="x8-800007.2.3"></a>Adding a Background</h5>
-<!--l. 196--><p class="noindent">By default, pictures do not have any background, that is, they are &#8220;transparent&#8221; on all parts on which you do not
-draw anything. You may instead wish to have a colored background behind your picture or a black frame around it
-or lines above and below it or some other kind of decoration.
-<!--l. 202--><p class="indent"> Since backgrounds are often not needed at all, the definition of styles for adding backgrounds has been put in the
-library package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibrarytikzbackgrounds</span></span></span>. This package is documented in Section&nbsp;<a
-href="pgfmanualse14.html#x15-17700014.7">14.7<!--tex4ht:ref: section-tikz-backgrounds --></a>.
-<!--l. 208--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.3 </span> <a
- id="x8-810007.3"></a>Using Scopes to Structure a Picture</h4>
-<!--l. 210--><p class="noindent">Inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment you can create scopes using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment. This environment is
-available only inside the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment, so once more, there is little chance of doing anything
-wrong.
-<!--l. 215--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox18"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">scope</span><span
-class="cmtt-10">}</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox19"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox20"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">scope</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx8-81001"></a>
-<a
- id="dx8-81002"></a>
- <!--l. 216--><p class="noindent">All <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are local to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span>. Furthermore, the clipping path is also local to
- the environment, that is, any clipping done inside the environment &#8220;ends&#8221; at its end.
- <!--l. 221--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-76-" ><colgroup id="TBL-76-1g"><col
-id="TBL-76-1"><col
-id="TBL-76-2"></colgroup><tr
- valign="baseline" id="TBL-76-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-76-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-79.svg" width="39.47017 " height="20.50172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-76-1-2"
-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;\begin{scope}[red]</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;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,0mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,0mm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,1mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,1mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,2mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,2mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[green]</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;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,3mm);</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;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,4mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,4mm);</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;\draw[blue]</span><span
-class="cmtt-8">&nbsp;(0mm,5mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,5mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 236--><p class="noindent">The following style influences scopes:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every scope</span><a
- id="dx8-81003"></a><a
- id="dx8-81004"></a> This style is installed at the beginning of every scope. I do not know really
- know what this might be good for, but who knows?</li></ul>
- <!--l. 243--><p class="noindent">The following options are useful for scopes:
-
-
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">execute at begin scope</span><a
- id="dx8-81005"></a><a
- id="dx8-81006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>This option install some code that will be executed at the
- beginning of the scope. This option must be given in the argument of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment.
- <!--l. 250--><p class="noindent">The effect applies only to the current scope, not to subscopes.
- </li>
- <li class="itemize"><span
-class="cmtt-10">execute at end scope</span><a
- id="dx8-81007"></a><a
- id="dx8-81008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>This option installs some code that will be executed at the end
- of the current scope. Using this option multiple times will cause the code to accumulate. This
- option must also be given in the optional argument of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment.
- <!--l. 258--><p class="noindent">Again, the effect applies only to the current scope, not to subscopes.</li></ul>
- </dd></dl>
-<!--l. 263--><p class="indent"> In plain <span class="TEX">T<span
-class="E">E</span>X</span>, you use the following commands instead:
-<!--l. 265--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox21"><span
-class="cmtt-10">\scope</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox22"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox23"><span
-class="cmtt-10">\endscope</span></span> </dt><dd
-class="description">
-<a
- id="dx8-81009"></a>
-<a
- id="dx8-81010"></a>
- </dd></dl>
-<!--l. 270--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.4 </span> <a
- id="x8-820007.4"></a>Using Scopes Inside Paths</h4>
-<!--l. 272--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command, which is described in much more detail in later sections, also takes graphic options. These
-options are local to the path. Furthermore, it is possible to create local scopes within a path simply by using curly
-braces as in
-<!--l. 276--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-77-" ><colgroup id="TBL-77-1g"><col
-id="TBL-77-1"><col
-id="TBL-77-2"></colgroup><tr
- valign="baseline" id="TBL-77-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-77-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-80.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-77-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{[rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 282--><p class="indent"> Note that many options apply only to the path as a whole and cannot be scoped in this way. For example, it is
-not possible to scope the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color</span></span></span> of the path. See the explanations in the section on paths for more
-details.
-<!--l. 287--><p class="indent"> Finally, certain elements that you specify in the argument to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command also take local options. For
-example, a node specification takes options. In this case, the options apply only to the node, not to the surrounding
-path.
-<!--l. 294--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.5 </span> <a
- id="x8-830007.5"></a>Using Styles to Manage How Pictures Look</h4>
-<!--l. 296--><p class="noindent">There is a way of organizing sets of graphic options &#8220;orthogonally&#8221; to the normal scoping mechanism. For example,
-you might wish all your &#8220;help lines&#8221; to be drawn in a certain way like, say, gray and thin (do <span
-class="cmti-10">not </span>dash them, that
-distracts). For this, you can use <span
-class="cmti-10">styles</span>.
-<!--l. 302--><p class="indent"> A style is simply a set of graphic options that is predefined at some point. Once a style has been defined, it can
-be used anywhere using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style</span></span></span> option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style</span><a
- id="dx8-83001"></a><a
- id="dx8-83002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt; </span>invokes all options that are currently set in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span>. An example of a style is the
- predefined <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span> style, which you should use for lines in the background like grid lines or construction
- lines. You can easily define new styles and modify existing ones.
-
-
- <!--l. 313--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-78-" ><colgroup id="TBL-78-1g"><col
-id="TBL-78-1"><col
-id="TBL-78-2"></colgroup><tr
- valign="baseline" id="TBL-78-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-78-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-81.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-78-1-2"
-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</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 322--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox24"><span
-class="cmtt-10">\tikzstyle</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></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">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx8-83003"></a>
- <!--l. 323--><p class="noindent">This command defines the style <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span>. Whenever it is used using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span>
- command, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>will be invoked. It is permissible that a style invokes another style using the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=</span></span></span> command inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span>, which allows you to build hierarchies of styles. Naturally, you
- should <span
-class="cmti-10">not </span>create cyclic dependencies.
- <!--l. 330--><p class="noindent">If the style already has a predefined meaning, it will unceremoniously be redefined without a
- warning.
- <!--l. 332--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-79-" ><colgroup id="TBL-79-1g"><col
-id="TBL-79-1"><col
-id="TBL-79-2"></colgroup><tr
- valign="baseline" id="TBL-79-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-79-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-82.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-79-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{help</span><span
-class="cmtt-8">&nbsp;lines}=[blue!50,very</span><span
-class="cmtt-8">&nbsp;thin]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 340--><p class="noindent">If the optional <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span> is given, the options are <span
-class="cmti-10">added </span>to the existing definition:
- <!--l. 342--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-80-" ><colgroup id="TBL-80-1g"><col
-id="TBL-80-1"><col
-id="TBL-80-2"></colgroup><tr
- valign="baseline" id="TBL-80-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-80-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-83.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-80-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{help</span><span
-class="cmtt-8">&nbsp;lines}+=[dashed]</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;aaarghhh!!!</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 351--><p class="indent"> It is also possible to set a style using an option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">set style</span><a
- id="dx8-83004"></a><a
- id="dx8-83005"></a><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">style name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></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">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]}</span></span></span> This option has the same effect as saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzstyle</span></span></span> before the
- argument of the option.
- <!--l. 356--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-81-" ><colgroup id="TBL-81-1g"><col
-id="TBL-81-1"><col
-id="TBL-81-2"></colgroup><tr
- valign="baseline" id="TBL-81-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-81-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-84.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-81-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[set</span><span
-class="cmtt-8">&nbsp;style={{help</span><span
-class="cmtt-8">&nbsp;lines}+=[dashed]}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li></ul>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse8.html" >next</a>] [<a
-href="pgfmanualse6.html" >prev</a>] [<a
-href="pgfmanualse6.html#tailpgfmanualse6.html" >prev-tail</a>] [<a
-href="pgfmanualse7.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse7.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse7.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse8.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse8.html
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@@ -1,1098 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>8 Specifying Coordinates</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse9.html" >next</a>] [<a
-href="pgfmanualse7.html" >prev</a>] [<a
-href="pgfmanualse7.html#tailpgfmanualse7.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse8.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse8.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">8 </span> <a
- id="x9-840008"></a>Specifying Coordinates</h3>
-<!--l. 11--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.1 </span> <a
- id="x9-850008.1"></a>Coordinates and Coordinate Options</h4>
-<!--l. 13--><p class="noindent">A <span
-class="cmti-10">coordinate </span>is a position in a picture. Ti<span
-class="cmti-10">k</span>Z&nbsp;uses a special syntax for specifying coordinates. Coordinates are always
-put in round brackets. The general syntax is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></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">options</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">coordinate specification</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>.
-<!--l. 18--><p class="indent"> It is possible to give options that apply only to a single coordinate, although this makes sense for transformation
-options only. To give transformation options for a single coordinate, give these options at the beginning in
-brackets:
-<!--l. 22--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-82-" ><colgroup id="TBL-82-1g"><col
-id="TBL-82-1"><col
-id="TBL-82-2"></colgroup><tr
- valign="baseline" id="TBL-82-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-82-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-85.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-82-1-2"
-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[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;([xshift=3pt]</span><span
-class="cmtt-8">&nbsp;1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:2cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+([shift=(135:5pt)]</span><span
-class="cmtt-8">&nbsp;30:2cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 32--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.2 </span> <a
- id="x9-860008.2"></a>Simple Coordinates</h4>
-<!--l. 34--><p class="noindent">The simplest way to specify coordinates is as a comma-separated pair of <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,2pt)</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2cm,\textheight)</span></span></span>. As can be seen, different units can be mixed. The coordinate specified in this way means &#8220;1cm
-to the right and 2pt up from the origin of the picture.&#8221; You can also write things like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm+2pt,2pt)</span></span></span> since the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">calc</span></span></span>
-package is used.
-<!--l. 42--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.3 </span> <a
- id="x9-870008.3"></a>Polar Coordinates</h4>
-<!--l. 44--><p class="noindent">You can also specify coordinates in polar coordinates. In this case, you specify an angle and a distance, separated by
-a colon as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>. The angle must always be given in degrees and should be between <span
-class="cmsy-10">-</span>360 and
-720.
-<!--l. 49--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-83-" ><colgroup id="TBL-83-1g"><col
-id="TBL-83-1"><col
-id="TBL-83-2"></colgroup><tr
- valign="baseline" id="TBL-83-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-83-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-86.svg" width="72.32451 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-83-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0cm,0cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(60:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(90:1cm)</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;</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;(120:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(150:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(180:1cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 54--><p class="indent"> Instead of an angle given as a number you can also use certain words. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">up</span></span></span> is the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">90</span></span></span>, so that
-you can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(2ex,0pt)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;+(up:1ex);</span></span></span> and get <object data="pgfmanual-87.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. Apart from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">up</span></span></span> you can use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">down</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">left</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">right</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">west</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;west</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;west</span></span></span>, all of which have their
-natural meaning.
-
-
-<!--l. 64--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.4 </span> <a
- id="x9-880008.4"></a>Xy- and Xyz-Coordinates</h4>
-<!--l. 66--><p class="noindent">You can specify coordinates in <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 <span
-class="cmmi-10">xy</span>-coordinate system. In this case, you provide two unit-free numbers,
-separated by a comma as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,-3)</span></span></span>. This means &#8220;add twice the current <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;<span
-class="cmmi-10">x</span>-vector and subtract three times the
-<span
-class="cmmi-10">y</span>-vector.&#8221; By default, the <span
-class="cmmi-10">x</span>-vector points 1cm to the right, the <span
-class="cmmi-10">y</span>-vector points 1cm upwards, but this can be
-changed arbitrarily using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> and&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">y</span></span></span> graphic options.
-<!--l. 73--><p class="indent"> Similarly, you can specify coordinates in the <span
-class="cmmi-10">xyz</span>-coordinate system. The only difference to the <span
-class="cmmi-10">xy</span>-coordinates is
-that you specify three numbers separated by commas as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,2,3)</span></span></span>. This is interpreted as &#8220;once the <span
-class="cmmi-10">x</span>-vector plus
-twice the <span
-class="cmmi-10">y</span>-vector plus three times the <span
-class="cmmi-10">z</span>-vector.&#8221; The default <span
-class="cmmi-10">z</span>-vector points to <span class="big"><img
-src="pgfmanual17x.gif" alt="(" class="left" align="middle"></span><span
-class="cmsy-10">-</span><img
-src="pgfmanual18x.gif" alt=" 1
- V~ 2" class="frac" align="middle">cm<span
-class="cmmi-10">,</span><span
-class="cmsy-10">-</span><img
-src="pgfmanual19x.gif" alt=" 1
- V~ 2" class="frac" align="middle">cm<span class="big"><img
-src="pgfmanual20x.gif" alt=")" class="left" align="middle"></span>. Consider the
-following example:
-<!--l. 82--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-84-" ><colgroup id="TBL-84-1g"><col
-id="TBL-84-1"><col
-id="TBL-84-2"></colgroup><tr
- valign="baseline" id="TBL-84-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-84-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-88.svg" width="54.07564 " height="54.07564 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-84-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[-&gt;]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 91--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.5 </span> <a
- id="x9-890008.5"></a>Node Coordinates</h4>
-<!--l. 94--><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>&nbsp;and in Ti<span
-class="cmti-10">k</span>Z&nbsp;it is quite easy to define a node that you wish to reference at a later point. Once you have
-defined a node, there are different ways of referencing points of the node.
-<!--l. 99--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.5.1 </span> <a
- id="x9-900008.5.1"></a>Named Anchor Coordinates</h5>
-<!--l. 101--><p class="noindent">An <span
-class="cmti-10">anchor coordinate </span>is a point in a node that you have previously defined using the node operation.
-The syntax is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</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">anchor</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>is the name that was previously used
-to name the node using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>option or the special node name syntax. Here is an
-example:
-<!--l. 108--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-89.svg" width="411.91475 " height="97.40599 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-85-" ><colgroup id="TBL-85-1g"><col
-id="TBL-85-1"></colgroup><tr
- valign="baseline" id="TBL-85-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-85-1-1"
-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;\node</span><span
-class="cmtt-8">&nbsp;(shape)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{|class</span><span
-class="cmtt-8">&nbsp;Shape|};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(rect)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{|class</span><span
-class="cmtt-8">&nbsp;Rectangle|};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(circle)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{|class</span><span
-class="cmtt-8">&nbsp;Circle|};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(ellipse)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{|class</span><span
-class="cmtt-8">&nbsp;Ellipse|};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(circle.north)</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;\draw</span><span
-class="cmtt-8">&nbsp;(ellipse.north)</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;\draw[-open</span><span
-class="cmtt-8">&nbsp;triangle</span><span
-class="cmtt-8">&nbsp;90]</span><span
-class="cmtt-8">&nbsp;(rect.north)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(shape.south);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 121--><p class="indent"> Section&nbsp;<a
-href="pgfmanualse11.html#x12-14600011.8">11.8<!--tex4ht:ref: section-the-shapes --></a> explain which anchors are available for the basic shapes.
-<!--l. 127--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.5.2 </span> <a
- id="x9-910008.5.2"></a>Angle Anchor Coordinates</h5>
-<!--l. 129--><p class="noindent">In addition to the named anchors, it is possible to use the syntax <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</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">angle</span><span
-class="cmsy-10">&gt; </span>to name a point of the
-node&#8217;s border. This point is the coordinate where a ray shot from the center in the given angle hits the border. Here
-is an example:
-
-
-<!--l. 134--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-86-" ><colgroup id="TBL-86-1g"><col
-id="TBL-86-1"><col
-id="TBL-86-2"></colgroup><tr
- valign="baseline" id="TBL-86-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-86-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-90.svg" width="122.11864 " height="102.10773 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-86-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;(start)</span><span
-class="cmtt-8">&nbsp;[draw,shape=ellipse]</span><span
-class="cmtt-8">&nbsp;{start};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\angle</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-90,</span><span
-class="cmtt-8">&nbsp;-80,</span><span
-class="cmtt-8">&nbsp;...,</span><span
-class="cmtt-8">&nbsp;90}</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;\draw</span><span
-class="cmtt-8">&nbsp;(start.\angle)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(\angle:1cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-1,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 143--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.5.3 </span> <a
- id="x9-920008.5.3"></a>Anchor-Free Node Coordinates</h5>
-<!--l. 145--><p class="noindent">It is also possible to just &#8220;leave out&#8221; the anchor and have Ti<span
-class="cmti-10">k</span>Z&nbsp;calculate an appropriate border position for you.
-Here is an example:
-<!--l. 148--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-91.svg" width="293.29953 " height="191.35088 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-87-" ><colgroup id="TBL-87-1g"><col
-id="TBL-87-1"></colgroup><tr
- valign="baseline" id="TBL-87-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-87-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[fill=blue!20]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-2)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(6,3);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(a)</span><span
-class="cmtt-8">&nbsp;[ellipse,rotate=10,draw,fill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{An</span><span
-class="cmtt-8">&nbsp;ellipse}</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;(3,-1)</span><span
-class="cmtt-8">&nbsp;node(b)</span><span
-class="cmtt-8">&nbsp;[circle,draw,fill]</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;</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;</span><span
-class="cmtt-8">&nbsp;{A</span><span
-class="cmtt-8">&nbsp;circle}</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;(2,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(c)</span><span
-class="cmtt-8">&nbsp;[rectangle,rotate=20,draw,fill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{A</span><span
-class="cmtt-8">&nbsp;rectangle}</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;(5,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(d)</span><span
-class="cmtt-8">&nbsp;[rectangle,rotate=-30,draw,fill]</span><span
-class="cmtt-8">&nbsp;{Another</span><span
-class="cmtt-8">&nbsp;rectangle};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(d);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick,red,-&gt;]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;+(1,3)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick,blue,&lt;-&gt;]</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(right:2cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(down:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(d);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 161--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;will be reasonably clever at determining the border points that you &#8220;mean,&#8221; but, naturally, this may fail
-in some situations. If Ti<span
-class="cmti-10">k</span>Z&nbsp;fails to determine an appropriate border point, the center will be used
-instead.
-<!--l. 166--><p class="indent"> Automatic computation of anchors works only with the line-to operations <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>, the vertical/horizontal
-versions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|-</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-|</span></span></span>, and with the curve-to operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span>. For other path commands, such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span>
-or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span>, the center will be used. If this is not desired, you should give a named anchor or an angle
-anchor.
-<!--l. 172--><p class="indent"> Note that if you use an automatic coordinate for both the start and the end of a line-to, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(b)--</span></span></span>, then <span
-class="cmti-10">two</span>
-border coordinates are computed with a move-to between them. This is usually exactly what you
-want.
-<!--l. 177--><p class="indent"> If you use relative coordinates together with automatic anchor coordinates, the relative coordinates are always
-computed relative to the node&#8217;s center, not relative to the border point. Here is an example:
-<!--l. 182--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-88-" ><colgroup id="TBL-88-1g"><col
-id="TBL-88-1"><col
-id="TBL-88-2"></colgroup><tr
- valign="baseline" id="TBL-88-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-88-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-92.svg" width="57.24742 " height="48.46964 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td>
- <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-88-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(x)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{Text}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 188--><p class="indent"> Similarly, in the following examples both control points are (1<span
-class="cmmi-10">,</span>1):
-
-
-<!--l. 190--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-89-" ><colgroup id="TBL-89-1g"><col
-id="TBL-89-1"><col
-id="TBL-89-2"></colgroup><tr
- valign="baseline" id="TBL-89-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-89-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-93.svg" width="96.02821 " height="48.46964 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td>
- <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-89-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(x)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{X}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node(y)</span><span
-class="cmtt-8">&nbsp;{Y}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-1,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(y);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 197--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.6 </span> <a
- id="x9-930008.6"></a>Intersection Coordinates</h4>
-<!--l. 200--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.6.1 </span> <a
- id="x9-940008.6.1"></a>Intersection of Two Lines</h5>
-<!--l. 202--><p class="noindent">Often you wish to specify a point that is on the intersection of two lines. The first way to specify such an
-intersection is the following: You can use the special syntax <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(intersection</span><span
-class="cmtt-10">&nbsp;of</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">p</span><sub ><span
-class="cmr-7">1</span></sub><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="cmmi-10">p</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">q</span><sub ><span
-class="cmr-7">1</span></sub><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="cmmi-10">q</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>. This
-will yield the intersection point of the line going through <span
-class="cmmi-10">p</span><sub ><span
-class="cmr-7">1</span></sub> and <span
-class="cmmi-10">p</span><sub ><span
-class="cmr-7">2</span></sub> and the line through <span
-class="cmmi-10">q</span><sub ><span
-class="cmr-7">1</span></sub> and <span
-class="cmmi-10">q</span><sub ><span
-class="cmr-7">2</span></sub>. If the lines do
-not meet or if they are identical and arithmetical overflow error will result.
-<!--l. 211--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-90-" ><colgroup id="TBL-90-1g"><col
-id="TBL-90-1"><col
-id="TBL-90-2"></colgroup><tr
- valign="baseline" id="TBL-90-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-90-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-94.svg" width="115.34386 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-90-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(A)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,2)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(B)</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;(1,2)</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;A--B</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;1,2--3,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 221--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.6.2 </span> <a
- id="x9-950008.6.2"></a>Intersection of Horizontal and Vertical Lines</h5>
-<!--l. 223--><p class="noindent">A frequent special case of intersections is the intersection of a vertical line going through a point <span
-class="cmmi-10">p </span>and a horizontal
-line going through some other point <span
-class="cmmi-10">q</span>. For this situation there is a special, shorter, syntax: You can say either
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">p</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">q</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">q</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;-|</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">p</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>.
-<!--l. 230--><p class="indent"> For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,1</span><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;3,4)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(3,4</span><span
-class="cmtt-10">&nbsp;-|</span><span
-class="cmtt-10">&nbsp;2,1)</span></span></span> both yield the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,4)</span></span></span> (provided the <span
-class="cmmi-10">xy</span>-coordinate
-system has not been modified).
-<!--l. 234--><p class="indent"> The most useful application of the syntax is to draw a line up to some point on a vertical or horizontal line. Here
-is an example:
-<!--l. 237--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-91-" ><colgroup id="TBL-91-1g"><col
-id="TBL-91-1"><col
-id="TBL-91-2"></colgroup><tr
- valign="baseline" id="TBL-91-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-91-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-95.svg" width="95.37755 " height="72.6225 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-91-1-2"
-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;\path</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;node(p1)</span><span
-class="cmtt-8">&nbsp;{$p_1$}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(75:1cm)</span><span
-class="cmtt-8">&nbsp;node(p2)</span><span
-class="cmtt-8">&nbsp;{$p_2$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-0.2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.2,0)</span><span
-class="cmtt-8">&nbsp;node(xline)[right]</span><span
-class="cmtt-8">&nbsp;{$q_1$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(2,-0.2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1.2)</span><span
-class="cmtt-8">&nbsp;node(yline)[above]</span><span
-class="cmtt-8">&nbsp;{$q_2$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(p1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(p1</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;xline);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(p2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(p2</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;xline);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(p1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(p1</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;yline);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(p2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(p2</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;yline);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 253--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.7 </span> <a
- id="x9-960008.7"></a>Relative and Incremental Coordinates</h4>
-<!--l. 255--><p class="noindent">You can prefix coordinates by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++</span></span></span> to make them &#8220;relative.&#8221; A coordinate such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++(1cm,0pt)</span></span></span> means &#8220;1cm to the
-right of the previous position.&#8221; Relative coordinates are often useful in &#8220;local&#8221; contexts:
-<!--l. 260--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-92-" ><colgroup id="TBL-92-1g"><col
-id="TBL-92-1"><col
-id="TBL-92-2"></colgroup><tr
- valign="baseline" id="TBL-92-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-92-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-96.svg" width="115.34386 " height="96.37543 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-92-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</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;++(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.5,1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 268--><p class="indent"> Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++</span></span></span> you can also use a single <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span>. This also specifies a relative coordinate, but it does not &#8220;update&#8221; the
-current point for subsequent usages of relative coordinates. Thus, you can use this notation to specify numerous
-points, all relative to the same &#8220;initial&#8221; point:
-<!--l. 274--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-93-" ><colgroup id="TBL-93-1g"><col
-id="TBL-93-1"><col
-id="TBL-93-2"></colgroup><tr
- valign="baseline" id="TBL-93-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-93-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-97.svg" width="115.34386 " height="96.37543 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-93-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</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;+(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.5,1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 282--><p class="indent"> There is one special situation, where relative coordinates are interpreted differently. If you use a relative
-coordinate as a control point of a B&eacute;zier curve, the following rule applies: First, a relative first control point is
-taken relative to the beginning of the curve. Second, a relative second control point is taken relative
-to the end of the curve. Third, a relative end point of a curve is taken relative to the start of the
-curve.
-<!--l. 290--><p class="indent"> This special behavior makes it easy to specify that a curve should &#8220;leave or arrives from a certain
-direction&#8221; at the start or end. In the following example, the curve &#8220;leaves&#8221; at 30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> and &#8220;arrives&#8221; at
-60<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>:
-<!--l. 295--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-94-" ><colgroup id="TBL-94-1g"><col
-id="TBL-94-1"><col
-id="TBL-94-2"></colgroup><tr
- valign="baseline" id="TBL-94-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-94-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-98.svg" width="96.37543 " height="58.43857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-94-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(30:1cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(60:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(3,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray,-&gt;]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray,&lt;-]</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(60:1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse9.html" >next</a>] [<a
-href="pgfmanualse7.html" >prev</a>] [<a
-href="pgfmanualse7.html#tailpgfmanualse7.html" >prev-tail</a>] [<a
-href="pgfmanualse8.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse8.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse8.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse9.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse9.html
deleted file mode 100644
index 9f7e7eefd84..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse9.html
+++ /dev/null
@@ -1,4719 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>9 Syntax for Path Specifications</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="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse10.html" >next</a>] [<a
-href="pgfmanualse8.html" >prev</a>] [<a
-href="pgfmanualse8.html#tailpgfmanualse8.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse9.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse9.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">9 </span> <a
- id="x10-970009"></a>Syntax for Path Specifications</h3>
-<!--l. 10--><p class="noindent">A <span
-class="cmti-10">path </span>is a series of straight and curved line segments. It is specified following a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command and
-the specification must follow a special syntax, which is described in the subsections of the present
-section.
-<!--l. 16--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox25"><span
-class="cmtt-10">\path</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">;</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-97001"></a>
- <!--l. 17--><p class="noindent">This command is available only inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment.
- <!--l. 19--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt; </span>is a long stream of <span
-class="cmti-10">path operations</span>. Most of these path operations tell Ti<span
-class="cmti-10">k</span>Z&nbsp;how
- the path is build. For example, when you write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(0,0)</span></span></span>, you use a <span
-class="cmti-10">line-to operation </span>and it means
- &#8220;continue the path from wherever you are to the origin.&#8221;
- <!--l. 25--><p class="noindent">At any point where Ti<span
-class="cmti-10">k</span>Z&nbsp;expects a path operation, you can also give some graphic options, which
- is a list of options in brackets, such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[rounded</span><span
-class="cmtt-10">&nbsp;corners]</span></span></span>. These options can have different
- effects:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x10-97003x1"></a>Some options take &#8220;immediate&#8221; effect and apply to all subsequent path operations on the path.
- For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rounded</span><span
-class="cmtt-10">&nbsp;corners</span></span></span> option will round all following corners, but not the corners
- &#8220;before&#8221; and if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sharp</span><span
-class="cmtt-10">&nbsp;corners</span></span></span> is given later on the path (in a new set of brackets), the
- rounding effect will end.
- <!--l. 37--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-95-" ><colgroup id="TBL-95-1g"><col
-id="TBL-95-1"><col
-id="TBL-95-2"></colgroup><tr
- valign="baseline" id="TBL-95-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-95-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-99.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-95-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[sharp</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 42--><p class="noindent">Another example are the transformation options, which also apply only to subsequent coordinates.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x10-97005x2"></a>The options that have immediate effect can be &#8220;scoped&#8221; by putting part of a path in curly braces. For
- example, the above example could also be written as follows:
- <!--l. 49--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-96-" ><colgroup id="TBL-96-1g"><col
-id="TBL-96-1"><col
-id="TBL-96-2"></colgroup><tr
- valign="baseline" id="TBL-96-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-96-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-100.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-96-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{[rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="enumerate" value="3"
-><a
- id="x10-97007x3"></a>Some options only apply to the path as a whole. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option for determining the
- color used for, say, drawing the path always applies to all parts of the path. If several different
- colors are given for different parts of the path, only the last one (on the outermost scope)
- &#8220;wins&#8221;:
- <!--l. 61--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-97-" ><colgroup id="TBL-97-1g"><col
-id="TBL-97-1"><col
-id="TBL-97-2"></colgroup><tr
- valign="baseline" id="TBL-97-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-97-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-101.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-97-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[color=red]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[color=blue]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 67--><p class="noindent">Most options are of this type. In the above example, we would have had to &#8220;split up&#8221; the path into
- several <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> commands:
-
-
- <!--l. 69--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-98-" ><colgroup id="TBL-98-1g"><col
-id="TBL-98-1"><col
-id="TBL-98-2"></colgroup><tr
- valign="baseline" id="TBL-98-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-98-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-102.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-98-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz{\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</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;\draw</span><span
-class="cmtt-8">&nbsp;[color=red]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</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;\draw</span><span
-class="cmtt-8">&nbsp;[color=blue]</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ol>
- <!--l. 76--><p class="noindent">By default, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command does &#8220;nothing&#8221; with the path, it just &#8220;throws it away.&#8221; Thus, if you write
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path(0,0)--(1,1);</span></span></span>, nothing is drawn in your picture. The only effect is that the area occupied by the
- picture is (possibly) enlarged so that the path fits inside the area. To actually &#8220;do&#8221; something with the path,
- an option like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> must be given somewhere on the path. Commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> do this
- implicitly.
- <!--l. 85--><p class="noindent">Finally, it is also possible to give <span
-class="cmti-10">node specifications </span>on a path. Such specifications can come at
- different locations, but they are always allowed when a normal path operation could follow. A
- node specification starts with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span>. Basically, the effect is to typeset the node&#8217;s text as normal
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;text and to place it at the &#8220;current location&#8221; on the path. The details are explained in
- Section&nbsp;<a
-href="pgfmanualse11.html#x12-13600011">11<!--tex4ht:ref: section-nodes --></a>.
- <!--l. 93--><p class="noindent">Note, however, that the nodes are <span
-class="cmti-10">not </span>part of the path in any way. Rather, after everything has been done
- with the path what is specified by the path options (like filling and drawing the path due to a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span>
- and a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option somewhere in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span>), the nodes are added in a post-processing
- step.
- <!--l. 100--><p class="noindent">The following style influences scopes:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every path</span><a
- id="dx10-97008"></a><a
- id="dx10-97009"></a> This style is installed at the beginning of every path. This can be useful for
- (temporarily) adding, say, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option to everything in a scope.
- <!--l. 106--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-99-" ><colgroup id="TBL-99-1g"><col
-id="TBL-99-1"><col
-id="TBL-99-2"></colgroup><tr
- valign="baseline" id="TBL-99-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-99-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-103.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-99-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;only</span><span
-class="cmsltt-10x-x-80">&nbsp;sets</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;color</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;path}=[draw]</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;</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;all</span><span
-class="cmsltt-10x-x-80">&nbsp;paths</span><span
-class="cmsltt-10x-x-80">&nbsp;are</span><span
-class="cmsltt-10x-x-80">&nbsp;drawn</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-<!--l. 119--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.1 </span> <a
- id="x10-980009.1"></a>The Move-To Operation</h4>
-<!--l. 121--><p class="noindent">The perhaps simplest operation is the move-to operation, which is specified by just giving a coordinate where a path
-operation is expected.
-<!--l. 125--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox26"><span id="textcolor27"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor28">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-98001"></a>
-<a
- id="dx10-98002"></a>
- <!--l. 128--><p class="noindent">The move-to operation normally starts a path at a certain point. This does not cause a line segment
- to be created, but it specifies the starting point of the next segment. If a path is already under
- construction, that is, if several segments have already been created, a move-to operation will start a
- new part of the path that is not connected to any of the previous segments.
- <!--l. 135--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-100-" ><colgroup id="TBL-100-1g"><col
-id="TBL-100-1"><col
-id="TBL-100-2"></colgroup><tr
- valign="baseline" id="TBL-100-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-100-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-104.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-100-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--(2,0)</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--(2,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 141--><p class="noindent">In the specification <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span><span
-class="cmtt-10">&nbsp;--(2,0)</span><span
-class="cmtt-10">&nbsp;(0,1)</span><span
-class="cmtt-10">&nbsp;--(2,1)</span></span></span> two move-to operations are specified: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,1)</span></span></span>.
- The other two operations, namely <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(2,0)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(2,1)</span></span></span> are line-to operations, described next.
- </dd></dl>
-<!--l. 148--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.2 </span> <a
- id="x10-990009.2"></a>The Line-To Operation</h4>
-<!--l. 151--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.2.1 </span> <a
- id="x10-1000009.2.1"></a>Straight Lines</h5>
-<!--l. 153--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox29"><span id="textcolor30"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">--</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor31">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-100001"></a>
-<a
- id="dx10-100002"></a>
- <!--l. 154--><p class="noindent">The line-to operation extends the current path from the current point in a straight line to the given
- coordinate. The &#8220;current point&#8221; is the endpoint of the previous drawing operation or the point specified
- by a prior move-to operation.
- <!--l. 159--><p class="noindent">You use two minus signs followed by a coordinate in round brackets. You can add spaces before and
- after the&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>.
- <!--l. 162--><p class="noindent">When a line-to operation is used and some path segment has just been constructed, for example by
- another line-to operation, the two line segments become joined. This means that if they are drawn, the
- point where they meet is &#8220;joined&#8221; smoothly. To appreciate the difference, consider the following two
- examples: In the left example, the path consists of two path segments that are not joined, but that
- happen to share a point, while in the right example a smooth join is shown.
- <!--l. 170--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-105.svg" width="204.0175 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-101-" ><colgroup id="TBL-101-1g"><col
-id="TBL-101-1"></colgroup><tr
- valign="baseline" id="TBL-101-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-101-1-1"
-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=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--(2,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;higher</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 181--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.2.2 </span> <a
- id="x10-1010009.2.2"></a>Horizontal and Vertical Lines</h5>
-<!--l. 183--><p class="noindent">Sometimes you want to connect two points via straight lines that are only horizontal and vertical. For this, you can
-use two path construction operations.
-<!--l. 188--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox32"><span id="textcolor33"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">-|</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor34">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-101001"></a>
-<a
- id="dx10-101002"></a>
- <!--l. 191--><p class="noindent">This operation means &#8220;first horizontal, then vertical.&#8221;
- <!--l. 193--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-102-" ><colgroup id="TBL-102-1g"><col
-id="TBL-102-1"><col
-id="TBL-102-2"></colgroup><tr
- valign="baseline" id="TBL-102-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-102-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-106.svg" width="86.85094 " height="67.43805 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-102-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(a)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node(b)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(a.north)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(b.west);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red]</span><span
-class="cmtt-8">&nbsp;(a.east)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(2,1.5)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(b.north);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 201--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox35"><span id="textcolor36"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">|-</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor37">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-101003"></a>
-<a
- id="dx10-101004"></a>
- <!--l. 204--><p class="noindent">This operations means &#8220;first vertical, then horizontal.&#8221; </dd></dl>
-<!--l. 209--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.2.3 </span> <a
- id="x10-1020009.2.3"></a>Snaked Lines</h5>
-<!--l. 212--><p class="noindent">The line-to operation can not only be used to append straight lines to the path, but also &#8220;snaked&#8221; lines (called thus
-because they look a little bit like snakes seen from above).
-<!--l. 216--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;use a concept that I termed <span
-class="cmti-10">snakes </span>for appending such &#8220;squiggly&#8221; lines. A snake specifies a way
-of extending a path between two points in a &#8220;fancy manner.&#8221;
-<!--l. 220--><p class="indent"> Normally, a snake will just connect the start point to the end point without starting new subpaths. Thus, a path
-containing a snaked line can, nevetheless, still be used for filling. However, this is not always the case. Some snakes
-consist of numerous unconnected segments. &#8220;Lines&#8221; consisting of such snakes cannot be used as the borders of
-enclosed areas.
-<!--l. 227--><p class="indent"> Here are some examples of snakes in action:
-<!--l. 229--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-103-" ><colgroup id="TBL-103-1g"><col
-id="TBL-103-1"><col
-id="TBL-103-2"></colgroup><tr
- valign="baseline" id="TBL-103-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-103-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-107.svg" width="115.87718 " height="128.8768 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-103-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;</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;</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;</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;(0,3)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,3);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</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;</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;</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;</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;(0,2.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,2.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace]</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;</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;</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;</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;(0,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=triangles]</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;length=4pt]</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;aspect=0]</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,.5)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves,segment</span><span
-class="cmtt-8">&nbsp;angle=7]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 241--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-104-" ><colgroup id="TBL-104-1g"><col
-id="TBL-104-1"><col
-id="TBL-104-2"></colgroup><tr
- valign="baseline" id="TBL-104-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-104-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-108.svg" width="121.98506 " height="84.05968 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-104-1-2"
-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;\filldraw[fill=red!20,snake=bumps]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 247--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-105-" ><colgroup id="TBL-105-1g"><col
-id="TBL-105-1"><col
-id="TBL-105-2"></colgroup><tr
- valign="baseline" id="TBL-105-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-105-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-109.svg" width="120.22421 " height="84.07007 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-105-1-2"
-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;\filldraw[fill=blue!20]</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;</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;(0,3)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=saw]</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,3)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;aspect=0]</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;(2,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=bumps]</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;</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;</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;-|</span><span
-class="cmtt-8">&nbsp;(0,3);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 256--><p class="indent"> No special path operation is needed to use a snake. Instead, you use the following option to &#8220;switch on&#8221;
-snaking:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">snake</span><a
- id="dx10-102001"></a><a
- id="dx10-102002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt;</span> This option causes the snake <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt; </span>to be used for subsequent line-to
- operations. So, whenever you use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> syntax to specify that a straight line should be added to the
- path, a snake to this path will be added instead. Snakes will also be used when you use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-|</span></span></span> and
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|-</span></span></span> syntax and also when you use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> operation. Snakes will <span
-class="cmti-10">not </span>be used when you use the
- curve-to operation nor when any other &#8220;curved&#8221; line is added to the path.
- <!--l. 270--><p class="noindent">This option has to be given anew for each path. However, you can also leave out the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt;</span>. In
- this case, the enclosing scope&#8217;s <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt; </span>is used. Thus, you can specify a &#8220;standard&#8221; snake name
- for scope and then just say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw[snake]</span></span></span> every time this snake should actually be used.
- <!--l. 276--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">none</span></span></span> is special. It can be used to switch off snaking after it has been switched on
- on a path.
- <!--l. 279--><p class="noindent">A bit strangely, no valid <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake names</span><span
-class="cmsy-10">&gt; </span>are defined by Ti<span
-class="cmti-10">k</span>Z&nbsp;by default. Instead, you have to include
- the library package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibrarysnakes</span></span></span>. This package defines numerous snakes, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-16700014.2">14.2<!--tex4ht:ref: section-library-snakes --></a> for
- the complete list.</li></ul>
-<!--l. 285--><p class="indent"> Most snakes can be configured. For example, for a snake that looks like a sine curve, you might wish to change
-the amplitude or the frequency. There are numerous options that influence these parameters. Not all options apply
-to all snakes, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-16700014.2">14.2<!--tex4ht:ref: section-library-snakes --></a> once more for details.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">gap before snakes</span><a
- id="dx10-102003"></a><a
- id="dx10-102004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option allows you to add a certain &#8220;gap&#8221; to the snake at its beginning.
- The snake will not start at the current point; instead the start point of the snake is move be <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>in
- the direction of the target.
- <!--l. 297--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-106-" ><colgroup id="TBL-106-1g"><col
-id="TBL-106-1"><col
-id="TBL-106-2"></colgroup><tr
- valign="baseline" id="TBL-106-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-106-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-110.svg" width="115.21051 " height="77.45523 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-106-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag,gap</span><span
-class="cmtt-8">&nbsp;before</span><span
-class="cmtt-8">&nbsp;snake=1cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">gap after snake</span><a
- id="dx10-102005"></a><a
- id="dx10-102006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option has the same effect as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gap</span><span
-class="cmtt-10">&nbsp;before</span><span
-class="cmtt-10">&nbsp;snake</span></span></span>, only it affects the end
- of the snake, which will &#8220;end early.&#8221;
- </li>
- <li class="itemize"><span
-class="cmtt-10">gap around snake</span><a
- id="dx10-102007"></a><a
- id="dx10-102008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option sets the gap before and after the gap to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 310--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-107-" ><colgroup id="TBL-107-1g"><col
-id="TBL-107-1"><col
-id="TBL-107-2"></colgroup><tr
- valign="baseline" id="TBL-107-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-107-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-111.svg" width="115.21051 " height="78.32304 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-107-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace]</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace,gap</span><span
-class="cmtt-8">&nbsp;around</span><span
-class="cmtt-8">&nbsp;snake=5mm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">line before snake</span><a
- id="dx10-102009"></a><a
- id="dx10-102010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gap</span><span
-class="cmtt-10">&nbsp;before</span><span
-class="cmtt-10">&nbsp;snake</span></span></span>, only it will connect the current
- point with a straight line to the start of the snake.
-
-
- <!--l. 320--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-108-" ><colgroup id="TBL-108-1g"><col
-id="TBL-108-1"><col
-id="TBL-108-2"></colgroup><tr
- valign="baseline" id="TBL-108-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-108-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-112.svg" width="115.21051 " height="77.45523 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-108-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag,line</span><span
-class="cmtt-8">&nbsp;before</span><span
-class="cmtt-8">&nbsp;snake=1cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">line after snake</span><a
- id="dx10-102011"></a><a
- id="dx10-102012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Works line <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gap</span><span
-class="cmtt-10">&nbsp;after</span><span
-class="cmtt-10">&nbsp;snake</span></span></span>, only it adds a straight line.
- </li>
- <li class="itemize"><span
-class="cmtt-10">line around snake</span><a
- id="dx10-102013"></a><a
- id="dx10-102014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Works line <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gap</span><span
-class="cmtt-10">&nbsp;around</span><span
-class="cmtt-10">&nbsp;snake</span></span></span>, only it adds straight lines.
- </li>
- <li class="itemize"><span
-class="cmtt-10">raise snake</span><a
- id="dx10-102015"></a><a
- id="dx10-102016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option can be used with all snakes. It will offset the snake by &#8220;raising&#8221; it by
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. A negative <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>will lower the snake. Raising and lowering is always relative to the line
- along which the snake is drawn. Here is an example:
- <!--l. 336--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-109-" ><colgroup id="TBL-109-1g"><col
-id="TBL-109-1"><col
-id="TBL-109-2"></colgroup><tr
- valign="baseline" id="TBL-109-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-109-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-113.svg" width="95.48378 " height="56.93579 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-109-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;</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;</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;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace]</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;</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;</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;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace,raise</span><span
-class="cmtt-8">&nbsp;snake=5pt,red]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">mirror snake</span><a
- id="dx10-102017"></a><a
- id="dx10-102018"></a> This option causes the snake to be &#8220;reflected along the path.&#8221; This is best understood by
- looking at an example:
- <!--l. 348--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-110-" ><colgroup id="TBL-110-1g"><col
-id="TBL-110-1"><col
-id="TBL-110-2"></colgroup><tr
- valign="baseline" id="TBL-110-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-110-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-114.svg" width="95.48378 " height="56.93579 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-110-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace]</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace,mirror</span><span
-class="cmtt-8">&nbsp;snake,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 357--><p class="noindent">This option can be used with every snake and can be combined with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">raise</span><span
-class="cmtt-10">&nbsp;snake</span></span></span> option.
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment amplitude</span><a
- id="dx10-102019"></a><a
- id="dx10-102020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option sets the &#8220;amplitude&#8221; of the snake. For a snake that
- is a sine wave this would be the amplitude of this line. For other snakes this value typically
- describes how far the snakes &#8220;rises above&#8221; or &#8220;falls below&#8221; the path. For some snakes, this value is
- ignored.
-
-
- <!--l. 365--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-111-" ><colgroup id="TBL-111-1g"><col
-id="TBL-111-1"><col
-id="TBL-111-2"></colgroup><tr
- valign="baseline" id="TBL-111-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-111-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-115.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-111-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</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;</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;</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;</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;</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;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag,segment</span><span
-class="cmtt-8">&nbsp;amplitude=5pt,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment length</span><a
- id="dx10-102021"></a><a
- id="dx10-102022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option sets the length of each &#8220;segment&#8221; of a snake. For a sine wave
- this would be the wave length, for other snakes it is the length of each &#8220;repetitive part&#8221; of the
- snake.
- <!--l. 376--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-112-" ><colgroup id="TBL-112-1g"><col
-id="TBL-112-1"><col
-id="TBL-112-2"></colgroup><tr
- valign="baseline" id="TBL-112-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-112-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-116.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-112-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</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;</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag,segment</span><span
-class="cmtt-8">&nbsp;length=20pt,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 383--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-113-" ><colgroup id="TBL-113-1g"><col
-id="TBL-113-1"><col
-id="TBL-113-2"></colgroup><tr
- valign="baseline" id="TBL-113-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-113-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-117.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-113-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=bumps]</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;</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=bumps,segment</span><span
-class="cmtt-8">&nbsp;length=20pt,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment object length</span><a
- id="dx10-102023"></a><a
- id="dx10-102024"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option sets the length of the objects inside each segment of a
- snake. This option is only used for snakes in which each segment contains an object like a triangle or a
- star.
- <!--l. 394--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-114-" ><colgroup id="TBL-114-1g"><col
-id="TBL-114-1"><col
-id="TBL-114-2"></colgroup><tr
- valign="baseline" id="TBL-114-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-114-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-118.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-114-1-2"
-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;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=triangles]</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;</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;</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=triangles,segment</span><span
-class="cmtt-8">&nbsp;object</span><span
-class="cmtt-8">&nbsp;length=8pt,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment angle</span><a
- id="dx10-102025"></a><a
- id="dx10-102026"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degrees</span><span
-class="cmsy-10">&gt; </span>This option sets an angle that is interpreted in a snake-specific way. For example,
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">waves</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">expanding</span><span
-class="cmtt-10">&nbsp;waves</span></span></span> snakes interpret this as (half the) opening angle of the wave. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span></span></span>
- snake uses this value for the angle of the little ticks.
-
-
- <!--l. 406--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-115-" ><colgroup id="TBL-115-1g"><col
-id="TBL-115-1"><col
-id="TBL-115-2"></colgroup><tr
- valign="baseline" id="TBL-115-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-115-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-119.svg" width="95.48378 " height="19.6942 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-115-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[segment</span><span
-class="cmtt-8">&nbsp;amplitude=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=border]</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;</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;</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;</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;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=border,segment</span><span
-class="cmtt-8">&nbsp;angle=20,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-116-" ><colgroup id="TBL-116-1g"><col
-id="TBL-116-1"><col
-id="TBL-116-2"></colgroup><tr
- valign="baseline" id="TBL-116-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-116-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-120.svg" width="95.48378 " height="95.69038 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-116-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[segment</span><span
-class="cmtt-8">&nbsp;amplitude=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</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;</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;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a')</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-1)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b')</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves]</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;</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;</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;</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;(a)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves,segment</span><span
-class="cmtt-8">&nbsp;angle=20,red,thick]</span><span
-class="cmtt-8">&nbsp;(a')</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b');</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment aspect</span><a
- id="dx10-102027"></a><a
- id="dx10-102028"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">ratio</span><span
-class="cmsy-10">&gt; </span>This option sets an aspect ratio that is interpreted in a snake-specific way. For
- example, for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coils</span></span></span> snake this describes the &#8220;direction&#8221; from which the coil is viewed.
- <!--l. 425--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-117-" ><colgroup id="TBL-117-1g"><col
-id="TBL-117-1"><col
-id="TBL-117-2"></colgroup><tr
- valign="baseline" id="TBL-117-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-117-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-121.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-117-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[segment</span><span
-class="cmtt-8">&nbsp;amplitude=5pt,segment</span><span
-class="cmtt-8">&nbsp;length=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil]</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;</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;</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;</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;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;aspect=0,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 434--><p class="indent"> It is possible to define new snakes, but this cannot be done inside Ti<span
-class="cmti-10">k</span>Z. You need to use the command
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclaresnake</span></span></span> from the basic level directly, see Section&nbsp;<a
-href="pgfmanualse22.html#x23-22900022">22<!--tex4ht:ref: section-base-snakes --></a>.
-<!--l. 438--><p class="indent"> The following styles define combinations of segment settings that may be useful:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">snake triangles 45</span><a
- id="dx10-102029"></a><a
- id="dx10-102030"></a> Installs a snake the consists of little triangles with an opening angle of
- 45<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">snake triangles 60</span><a
- id="dx10-102031"></a><a
- id="dx10-102032"></a> Installs a snake the consists of little triangles with an opening angle of
- 60<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">snake triangles 90</span><a
- id="dx10-102033"></a><a
- id="dx10-102034"></a> Installs a snake the consists of little triangles with an opening angle of
- 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.</li></ul>
-<!--l. 454--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.3 </span> <a
- id="x10-1030009.3"></a>The Curve-To Operation</h4>
-<!--l. 456--><p class="noindent">The curve-to operation allows you to extend a path using a B&eacute;zier curve.
-<!--l. 459--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox38"><span id="textcolor39"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">..</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">controls</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">c</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</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">y</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor40">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-103001"></a>
-<a
- id="dx10-103002"></a>
- <!--l. 460--><p class="noindent">This operation extends the current path from the current point, let us call it <span
-class="cmmi-10">x</span>, via a curve to a the
- current point&nbsp;<span
-class="cmmi-10">y</span>. The curve is a cubic B&eacute;zier curve. For such a curve, apart from <span
-class="cmmi-10">y</span>, you also specify
- two control points <span
-class="cmmi-10">c </span>and <span
-class="cmmi-10">d</span>. The idea is that the curve starts at <span
-class="cmmi-10">x</span>, &#8220;heading&#8221; in the direction of&nbsp;<span
-class="cmmi-10">c</span>.
- Mathematically spoken, the tangent of the curve at <span
-class="cmmi-10">x </span>goes through <span
-class="cmmi-10">c</span>. Similarly, the curve ends at <span
-class="cmmi-10">y</span>,
- &#8220;coming from&#8221; the other control point,&nbsp;<span
-class="cmmi-10">d</span>. The larger the distance between <span
-class="cmmi-10">x </span>and&nbsp;<span
-class="cmmi-10">c </span>and between <span
-class="cmmi-10">d</span>
- and&nbsp;<span
-class="cmmi-10">y</span>, the larger the curve will be.
- <!--l. 470--><p class="noindent">If the &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span>&#8221; part is not given, <span
-class="cmmi-10">d </span>is assumed to be equal to <span
-class="cmmi-10">c</span>.
- <!--l. 473--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-122.svg" width="204.0175 " height="52.27013 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-118-" ><colgroup id="TBL-118-1g"><col
-id="TBL-118-1"></colgroup><tr
- valign="baseline" id="TBL-118-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-118-1-1"
-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[line</span><span
-class="cmtt-8">&nbsp;width=10pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(4,0)</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;</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;</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(5,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(5,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(4,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(5,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 481--><p class="noindent">As with the line-to operation, it makes a difference whether two curves are joined because they resulted
- from consecutive curve-to or line-to operations, or whether they just happen to have the same
- ending:
- <!--l. 485--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-123.svg" width="204.0175 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-119-" ><colgroup id="TBL-119-1g"><col
-id="TBL-119-1"></colgroup><tr
- valign="baseline" id="TBL-119-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-119-1-1"
-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=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(5,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;higher</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 495--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.4 </span> <a
- id="x10-1040009.4"></a>The Cycle Operation</h4>
-<!--l. 497--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox41"><span id="textcolor42"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">--cycle</span>&nbsp;<span id="textcolor43">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-104001"></a>
-<a
- id="dx10-104002"></a>
- <!--l. 498--><p class="noindent">This operation adds a straight line from the current point to the last point specified by a move-to
- operation. Note that this need not be the beginning of the path. Furthermore, a smooth join is created
- between the first segment created after the last move-to operation and the straight line appended by
- the cycle operation.
- <!--l. 504--><p class="noindent">Consider the following example. In the left example, two triangles are created using three straight lines,
- but they are not joined at the ends. In the second example cycle operations are used.
- <!--l. 508--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-124.svg" width="317.82805 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-120-" ><colgroup id="TBL-120-1g"><col
-id="TBL-120-1"></colgroup><tr
- valign="baseline" id="TBL-120-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-120-1-1"
-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=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(6,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</span><span
-class="cmtt-8">&nbsp;(7,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(8,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(8,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;higher</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-<!--l. 519--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.5 </span> <a
- id="x10-1050009.5"></a>The Rectangle Operation</h4>
-<!--l. 521--><p class="noindent">A rectangle can obviously be created using four straight lines and a cycle operation. However, since rectangles are
-needed so often, a special syntax is available for them.
-<!--l. 525--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox44"><span id="textcolor45"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">rectangle</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor46">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-105001"></a>
-<a
- id="dx10-105002"></a>
- <!--l. 526--><p class="noindent">When this operation is used, one corner will be the current point, another corner is given by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span>,
- which becomes the new current point.
- <!--l. 530--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-121-" ><colgroup id="TBL-121-1g"><col
-id="TBL-121-1"><col
-id="TBL-121-2"></colgroup><tr
- valign="baseline" id="TBL-121-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-121-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-125.svg" width="134.31227 " height="58.43857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-121-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(.5,1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,0.5)</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.5,1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 539--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.6 </span> <a
- id="x10-1060009.6"></a>Rounding Corners</h4>
-<!--l. 541--><p class="noindent">All of the path construction operations mentioned up to now are influenced by the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">rounded corners</span><a
- id="dx10-106001"></a><a
- id="dx10-106002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">inset</span><span
-class="cmsy-10">&gt;</span> When this option is in force, all corners (places where a line is continued
- either via line-to or a curve-to operation) are replaced by little arcs so that the corner becomes smooth.
- <!--l. 549--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-122-" ><colgroup id="TBL-122-1g"><col
-id="TBL-122-1"><col
-id="TBL-122-2"></colgroup><tr
- valign="baseline" id="TBL-122-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-122-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-126.svg" width="153.2807 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-122-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(4,0);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 554--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">inset</span><span
-class="cmsy-10">&gt; </span>describes how big the corner is. Note that the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">inset</span><span
-class="cmsy-10">&gt; </span>is <span
-class="cmti-10">not </span>scaled along if you use a scaling option
- like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale=2</span></span></span>.
- <!--l. 558--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-123-" ><colgroup id="TBL-123-1g"><col
-id="TBL-123-1"><col
-id="TBL-123-2"></colgroup><tr
- valign="baseline" id="TBL-123-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-123-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-127.svg" width="54.86644 " height="34.86652 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-123-1-2"
-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[color=gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(10pt,15pt)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(10pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rounded</span><span
-class="cmtt-8">&nbsp;corners=10pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,25pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(40pt,25pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 565--><p class="noindent">You can switch the rounded corners on and off &#8220;in the middle of path&#8221; and different corners in the same path
- can have different corner radii:
- <!--l. 569--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-124-" ><colgroup id="TBL-124-1g"><col
-id="TBL-124-1"><col
-id="TBL-124-2"></colgroup><tr
- valign="baseline" id="TBL-124-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-124-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-128.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-124-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;[rounded</span><span
-class="cmtt-8">&nbsp;corners=10pt]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</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;</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;</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;[sharp</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</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;</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;[rounded</span><span
-class="cmtt-8">&nbsp;corners=5pt]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 577--><p class="noindent">Here is a rectangle with rounded corners:
-
-
- <!--l. 578--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-125-" ><colgroup id="TBL-125-1g"><col
-id="TBL-125-1"><col
-id="TBL-125-2"></colgroup><tr
- valign="baseline" id="TBL-125-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-125-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-129.svg" width="28.19987 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-125-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[rounded</span><span
-class="cmtt-8">&nbsp;corners=1ex]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(20pt,2ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 582--><p class="noindent">You should be aware, that there are several pitfalls when using this option. First, the rounded corner will only
- be an arc (part of a circle) if the angle is 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>. In other cases, the rounded corner will still be round, but &#8220;not
- as nice.&#8221;
- <!--l. 587--><p class="noindent">Second, if there are very short line segments in a path, the &#8220;rounding&#8221; may cause inadverted effects. In such
- case it may be necessary to temporarily switch off the rounding using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sharp</span><span
-class="cmtt-10">&nbsp;corners</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">sharp corners</span><a
- id="dx10-106003"></a><a
- id="dx10-106004"></a> This options switches off any rounding on subsequent corners of the path.</li></ul>
-<!--l. 599--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.7 </span> <a
- id="x10-1070009.7"></a>The Circle and Ellipse Operations</h4>
-<!--l. 601--><p class="noindent">A circle can be approximated well using four B&eacute;zier curves. However, it is difficult to do so correctly. For
-this reason, a special syntax is available for adding such an approximation of a circle to the current
-path.
-<!--l. 606--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox47"><span id="textcolor48"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">circle</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">radius</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>&nbsp;<span id="textcolor49">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-107001"></a>
-<a
- id="dx10-107002"></a>
- <!--l. 607--><p class="noindent">The center of the circle is given by the current point. The new current point of the path will remain
- to be the center of the circle. </dd></dl>
-<!--l. 612--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox50"><span id="textcolor51"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">ellipse</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">half width</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"> <span
-class="cmtt-10">and </span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">half height</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>&nbsp;<span id="textcolor52">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-107003"></a>
-<a
- id="dx10-107004"></a>
- <!--l. 613--><p class="noindent">Note that you can add spaces after <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>, but you have to place spaces around <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span>.
- <!--l. 616--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-130.svg" width="295.54385 " height="48.95435 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-126-" ><colgroup id="TBL-126-1g"><col
-id="TBL-126-1"></colgroup><tr
- valign="baseline" id="TBL-126-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-126-1-1"
-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</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(1cm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;.5cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</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;++(2,-.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.25cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 626--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.8 </span> <a
- id="x10-1080009.8"></a>The Arc Operation</h4>
-<!--l. 628--><p class="noindent">The <span
-class="cmti-10">arc operation </span>allows you to add an arc to the current path.
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox53"><span id="textcolor54"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">arc</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">start angle</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 angle</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">radius</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">half height</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>&nbsp;<span id="textcolor55">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-108001"></a>
-<a
- id="dx10-108002"></a>
- <!--l. 632--><p class="noindent">The arc operation adds a part of a circle of the given radius between the given angles. The arc will
- start at the current point and will end at the end of the arc.
-
-
- <!--l. 636--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-131.svg" width="305.02809 " height="58.4386 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-127-" ><colgroup id="TBL-127-1g"><col
-id="TBL-127-1"></colgroup><tr
- valign="baseline" id="TBL-127-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-127-1-1"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:90:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(90:0:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(30:60:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(8,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:270:1cm/.5cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 644--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-128-" ><colgroup id="TBL-128-1g"><col
-id="TBL-128-1"><col
-id="TBL-128-2"></colgroup><tr
- valign="baseline" id="TBL-128-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-128-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-132.svg" width="143.11578 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-128-1-2"
-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</span><span
-class="cmtt-8">&nbsp;(-1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(3.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;++(210:2cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:4cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;+(0:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;+(180:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:210:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;++(15:.75cm)</span><span
-class="cmtt-8">&nbsp;node{$\alpha$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;++(15:-.75cm)</span><span
-class="cmtt-8">&nbsp;node{$\beta$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 657--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.9 </span> <a
- id="x10-1090009.9"></a>The Grid Operation</h4>
-<!--l. 659--><p class="noindent">You can add a grid to the current path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> path operation.
-<!--l. 662--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox56"><span id="textcolor57"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">grid</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor58">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-109001"></a>
-<a
- id="dx10-109002"></a>
- <!--l. 663--><p class="noindent">This operations adss a grid filling a rectangle whose two corners are given by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>and by the
- previous coordinate. Thus, the typical way in which a grid is drawn is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(1,1)</span><span
-class="cmtt-10">&nbsp;grid</span><span
-class="cmtt-10">&nbsp;(3,3);</span></span></span>,
- which yields a grid filling the rectangle whose corners are at (1<span
-class="cmmi-10">,</span>1) and (3<span
-class="cmmi-10">,</span>3). All coordinate
- transformations apply to the grid.
- <!--l. 669--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-129-" ><colgroup id="TBL-129-1g"><col
-id="TBL-129-1"><col
-id="TBL-129-2"></colgroup><tr
- valign="baseline" id="TBL-129-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-129-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-133.svg" width="105.17888 " height="105.17888 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-129-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz[rotate=30]</span><span
-class="cmtt-8">&nbsp;\draw[step=1mm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,2);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 673--><p class="noindent">The stepping of the grid is governed by the following options:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">step</span><a
- id="dx10-109003"></a><a
- id="dx10-109004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets the stepping in both the <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">y</span>-direction.
- </li>
- <li class="itemize"><span
-class="cmtt-10">xstep</span><a
- id="dx10-109005"></a><a
- id="dx10-109006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets the stepping in the <span
-class="cmmi-10">x</span>-direction.
- </li>
- <li class="itemize"><span
-class="cmtt-10">ystep</span><a
- id="dx10-109007"></a><a
- id="dx10-109008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets the stepping in the <span
-class="cmmi-10">y</span>-direction.</li></ul>
-
-
- <!--l. 684--><p class="noindent">It is important to note that the grid is always &#8220;phased&#8221; such that it contains the point (0<span
-class="cmmi-10">,</span>0) if that point
- happens to be inside the rectangle. Thus, the grid does <span
-class="cmti-10">not </span>always have an intersection at the corner points;
- this occurs only if the corner points are multiples of the stepping. Note that due to rounding errors, the
- &#8220;last&#8221; lines of a grid may be omitted. In this case, you have to add an epsilon to the corner
- points.
- <!--l. 692--><p class="noindent">The following style is useful for drawing grids:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">help lines</span><a
- id="dx10-109009"></a><a
- id="dx10-109010"></a> This style makes lines &#8220;subdued&#8221; by using thin gray lines for them. However, this
- style is not installed automatically and you have to say for example:
- <!--l. 698--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-130-" ><colgroup id="TBL-130-1g"><col
-id="TBL-130-1"><col
-id="TBL-130-2"></colgroup><tr
- valign="baseline" id="TBL-130-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-130-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-134.svg" width="115.07718 " height="115.07718 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-130-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,3);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-<!--l. 706--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.10 </span> <a
- id="x10-1100009.10"></a>The Parabola Operation</h4>
-<!--l. 708--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span> path operation continues the current path with a parabola. A parabola is a (shifted and scaled) curve
-defined by the equation <span
-class="cmmi-10">f</span>(<span
-class="cmmi-10">x</span>) = <span
-class="cmmi-10">x</span><sup ><span
-class="cmr-7">2</span></sup> and looks like this: <object data="pgfmanual-135.svg" width="13.01471 " height="10.14436 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
-<!--l. 714--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox59"><span id="textcolor60"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">parabola</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">bend coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor61">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-110001"></a>
-<a
- id="dx10-110002"></a>
- <!--l. 715--><p class="noindent">This operation adds a parabola through the current point and the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span></span></span> is
- given, it specifies where the bend should go; the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>can also be used to specify where the bend
- is. By default, the bend is at the old current point.
- <!--l. 720--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-131-" ><colgroup id="TBL-131-1g"><col
-id="TBL-131-1"><col
-id="TBL-131-2"></colgroup><tr
- valign="baseline" id="TBL-131-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-131-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-136.svg" width="153.28075 " height="67.92279 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-131-1-2"
-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</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;</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;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5)</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=1.5cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5)</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola[bend</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;end]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=3cm]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5)</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;</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;</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;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;bend</span><span
-class="cmtt-8">&nbsp;(.75,1.75)</span><span
-class="cmtt-8">&nbsp;(1,1.5);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 731--><p class="noindent">The following options influence parabolas:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">bend</span><a
- id="dx10-110003"></a><a
- id="dx10-110004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>Has the same effect as saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>outside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span>. The
- option specifies that the bend of the parabola should be at the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. You have to
- take care yourself that the bend position is a &#8220;valid&#8221; position; which means that if there is no
- parabola of the form <span
-class="cmmi-10">f</span>(<span
-class="cmmi-10">x</span>) = <span
-class="cmmi-10">ax</span><sup ><span
-class="cmr-7">2</span></sup> +<span
-class="cmmi-10">bx</span>+<span
-class="cmmi-10">c </span>that goes through the old current point, the given bend,
- and the new current point, the result will not be a parabola.
-
-
- <!--l. 742--><p class="noindent">There is one special property of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>: When a relative coordinate is given like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+(0,0)</span></span></span>,
- the position relative to which this coordinate is &#8220;flexible.&#8221; More precisely, this position lies
- somewhere on a line from the old current point to the new current point. The exact position
- depends on the next option.
- </li>
- <li class="itemize"><span
-class="cmtt-10">bend pos</span><a
- id="dx10-110005"></a><a
- id="dx10-110006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt; </span>Specifies where the &#8220;previous&#8221; point is relative to which the bend is
- calculated. The previous point will be at the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt;</span>th part of the line from the old current
- point to the new current point.
- <!--l. 755--><p class="noindent">The idea is the following: If you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;pos=0</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;+(0,0)</span></span></span>, the bend will be at the old
- current point. If you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;pos=1</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;+(0,0)</span></span></span>, the bend will be at the new current
- point. If you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;pos=0.5</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;+(0,2cm)</span></span></span> the bend will be 2cm above the middle
- of the line between the start and end point. This is most useful in situations such as the
- following:
- <!--l. 761--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-132-" ><colgroup id="TBL-132-1g"><col
-id="TBL-132-1"><col
-id="TBL-132-2"></colgroup><tr
- valign="baseline" id="TBL-132-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-132-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-137.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-132-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1,0)</span><span
-class="cmtt-8">&nbsp;parabola[bend</span><span
-class="cmtt-8">&nbsp;pos=0.5]</span><span
-class="cmtt-8">&nbsp;bend</span><span
-class="cmtt-8">&nbsp;+(0,2)</span><span
-class="cmtt-8">&nbsp;+(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 768--><p class="noindent">In the above example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;+(0,2)</span></span></span> essentially means &#8220;a parabola that is 2cm high&#8221; and
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+(3,0)</span></span></span> means &#8220;and 3cm wide.&#8221; Since this situation arises often, there is a special shortcut
- option:
- </li>
- <li class="itemize"><span
-class="cmtt-10">parabola height</span><a
- id="dx10-110007"></a><a
- id="dx10-110008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option has the same effect as if you had written the following
- instead: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[bend</span><span
-class="cmtt-10">&nbsp;pos=0.5,bend={+(0pt,</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)}]</span></span></span>.
- <!--l. 775--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-133-" ><colgroup id="TBL-133-1g"><col
-id="TBL-133-1"><col
-id="TBL-133-2"></colgroup><tr
- valign="baseline" id="TBL-133-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-133-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-138.svg" width="153.14735 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-133-1-2"
-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;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1,0)</span><span
-class="cmtt-8">&nbsp;parabola[parabola</span><span
-class="cmtt-8">&nbsp;height=2cm]</span><span
-class="cmtt-8">&nbsp;+(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- <!--l. 783--><p class="noindent">The following styles are useful shortcuts:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">bend at start</span><a
- id="dx10-110009"></a><a
- id="dx10-110010"></a> This places the bend at the start of a parabola. It is a shortcut for the
- following options: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;pos=0,bend={+(0,0)}</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">bend at end</span><a
- id="dx10-110011"></a><a
- id="dx10-110012"></a> This places the bend at the end of a parabola.</li></ul>
- </dd></dl>
-<!--l. 794--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.11 </span> <a
- id="x10-1110009.11"></a>The Sine and Cosine Operation</h4>
-<!--l. 796--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cos</span></span></span> operations are similar to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span> operation. They, too, can be used to draw (parts of) a sine
-or cosine curve.
-<!--l. 800--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox62"><span id="textcolor63"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">sin</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor64">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-111001"></a>
-<a
- id="dx10-111002"></a>
- <!--l. 801--><p class="noindent">The effect of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> is to draw a scaled and shifted version of a sine curve in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2]. The
- scaling and shifting is done in such a way that the start of the sine curve in the interval is at the old
- current point and that the end of the curve in the interval is at <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. Here is an example that
- should clarify this:
- <!--l. 807--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-134-" ><colgroup id="TBL-134-1g"><col
-id="TBL-134-1"><col
-id="TBL-134-2"></colgroup><tr
- valign="baseline" id="TBL-134-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-134-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-139.svg" width="136.96812 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-134-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</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;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1,1)</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1.57,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;+(1.57,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 813--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox65"><span id="textcolor66"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">cos</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor67">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-111003"></a>
-<a
- id="dx10-111004"></a>
- <!--l. 814--><p class="noindent">This operation works similarly, only a cosine in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2] is drawn. By correctly alternating
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cos</span></span></span> operations, you can create a complete sine or cosine curve:
- <!--l. 818--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-140.svg" width="299.33888 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-135-" ><colgroup id="TBL-135-1g"><col
-id="TBL-135-1"></colgroup><tr
- valign="baseline" id="TBL-135-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-135-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[xscale=1.57]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(5,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red]</span><span
-class="cmtt-8">&nbsp;(0,1.5)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(2,-1.5)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(4,1.5)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(5,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 826--><p class="indent"> Note that there is no way to (conveniently) draw an interval on a sine or cosine curve whose end points are not
-multiples of <span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2.
-<!--l. 831--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.12 </span> <a
- id="x10-1120009.12"></a>The Plot Operation</h4>
-<!--l. 833--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation can be used to append a line or curve to the path that goes through a large number of
-coordinates. These coordinates are either given in a simple list of coordinates or they are read from some
-file.
-<!--l. 838--><p class="indent"> The syntax of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> comes in different versions.
-<!--l. 840--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox68"><span id="textcolor69"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">--plot</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor70">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-112001"></a>
-<a
- id="dx10-112002"></a>
- <!--l. 841--><p class="noindent">This operation plots the curve through the coordinates specified in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt;</span>. The current
- (sub)path is simply continued, that is, a line-to operation to the first point of the curve is implicitly
- added. The details of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt; </span>will be explained in a moment. </dd></dl>
-<!--l. 848--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox71"><span id="textcolor72"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">plot</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor73">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-112003"></a>
-<a
- id="dx10-112004"></a>
- <!--l. 849--><p class="noindent">This operation plots the curve through the coordinates specified in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt; </span>by first
- &#8220;moving&#8221; to the first coordinate of the curve. </dd></dl>
-<!--l. 854--><p class="indent"> The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt; </span>are used in three different ways to specifying the coordinates of the points to be
-plotted:
-<!--l. 857--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x10-112006x1"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">local options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinates{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate 1</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">coordinate 2</span><span
-class="cmsy-10">&gt;</span>...<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate </span><span
-class="cmmi-10">n</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>
- </li>
- <li class="enumerate" value="2"
-><a
- id="x10-112008x2"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">local options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">file{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>
- </li>
- <li class="enumerate" value="3"
-><a
- id="x10-112010x3"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">local options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">function{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span></li></ol>
-<!--l. 867--><p class="indent"> These different ways are explained in the following.
-<!--l. 870--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.1 </span> <a
- id="x10-1130009.12.1"></a>Plotting Points Given Inline</h5>
-<!--l. 872--><p class="noindent">In the first two cases, the points are given directly in the <span class="TEX">T<span
-class="E">E</span>X</span>-file as in the following example:
-<!--l. 875--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-136-" ><colgroup id="TBL-136-1g"><col
-id="TBL-136-1"><col
-id="TBL-136-2"></colgroup><tr
- valign="baseline" id="TBL-136-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-136-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-141.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-136-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;(10:2cm)};</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 879--><p class="indent"> Here is an example showing the difference between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--plot</span></span></span>:
-<!--l. 881--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-142.svg" width="342.96501 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-137-" ><colgroup id="TBL-137-1g"><col
-id="TBL-137-1"></colgroup><tr
- valign="baseline" id="TBL-137-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-137-1-1"
-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</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(4,0)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red,xshift=5cm]</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;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(4,0)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 890--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.2 </span> <a
- id="x10-1140009.12.2"></a>Plotting Points Read From an External File</h5>
-<!--l. 892--><p class="noindent">The second way of specifying points is to put them in an external file named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span>. Currently, the only file
-format that Ti<span
-class="cmti-10">k</span>Z&nbsp;allows is the following: Each line of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt; </span>should contain one line starting with two
-numbers, separated by a space. Anything following the two numbers on the line is ignored. Also, lines starting with
-a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">%</span></span></span> or a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">#</span></span></span> are ignored as well as empty lines. (This is exactly the format that <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>produces when you say
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">set</span><span
-class="cmtt-10">&nbsp;terminal</span><span
-class="cmtt-10">&nbsp;table</span></span></span>.) If necessary, more formats will be supported in the future, but it is usually easy to produce a
-file containing data in this form.
-<!--l. 903--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-143.svg" width="384.13968 " height="80.63216 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-138-" ><colgroup id="TBL-138-1g"><col
-id="TBL-138-1"></colgroup><tr
- valign="baseline" id="TBL-138-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-138-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot[mark=x,smooth]</span><span
-class="cmtt-8">&nbsp;file</span><span
-class="cmtt-8">&nbsp;{plots/pgfmanual-sine.table};</span></div> </td></tr></table> </td></tr></table>
-</div>
-<!--l. 907--><p class="indent"> The file <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plots/pgfmanual-sine.table</span></span></span> reads:
-
-
-<!--l. 908--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-139-" ><colgroup id="TBL-139-1g"><col
-id="TBL-139-1"></colgroup><tr
- valign="baseline" id="TBL-139-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-139-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">#Curve</span><span
-class="cmtt-8">&nbsp;0,</span><span
-class="cmtt-8">&nbsp;20</span><span
-class="cmtt-8">&nbsp;points</span>
-<br><span
-class="cmtt-8">#x</span><span
-class="cmtt-8">&nbsp;y</span><span
-class="cmtt-8">&nbsp;type</span>
-<br><span
-class="cmtt-8">0.00000</span><span
-class="cmtt-8">&nbsp;0.00000</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">0.52632</span><span
-class="cmtt-8">&nbsp;0.50235</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">1.05263</span><span
-class="cmtt-8">&nbsp;0.86873</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">1.57895</span><span
-class="cmtt-8">&nbsp;0.99997</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">9.47368</span><span
-class="cmtt-8">&nbsp;-0.04889</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">10.00000</span><span
-class="cmtt-8">&nbsp;-0.54402</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 919--><p class="indent"> It was produced from the following source, using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span>:
-<!--l. 920--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-140-" ><colgroup id="TBL-140-1g"><col
-id="TBL-140-1"></colgroup><tr
- valign="baseline" id="TBL-140-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-140-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;terminal</span><span
-class="cmtt-8">&nbsp;table</span>
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;"../plots/pgfmanual-sine.table"</span>
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;format</span><span
-class="cmtt-8">&nbsp;"</span><span
-class="cmsltt-10x-x-80">%.5f"</span>
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;samples</span><span
-class="cmtt-8">&nbsp;20</span>
-<br><span
-class="cmtt-8">plot</span><span
-class="cmtt-8">&nbsp;[x=0:10]</span><span
-class="cmtt-8">&nbsp;sin(x)</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 928--><p class="indent"> The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">local options</span><span
-class="cmsy-10">&gt; </span>of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation are local to each plot and do not affect other plots &#8220;on the same path.&#8221;
-For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot[yshift=1cm]</span></span></span> will locally shift the plot 1cm upward. Remember, however, that most
-options can only be applied to paths as a whole. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot[red]</span></span></span> does not have the effect of
-making the plot red. After all, you are trying to &#8220;locally&#8221; make part of the path red, which is not
-possible.
-<!--l. 936--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.3 </span> <a
- id="x10-1150009.12.3"></a>Plotting a Function</h5>
-<!--l. 939--><p class="noindent">Often, you will want to plot points that are given via a function like <span
-class="cmmi-10">f</span>(<span
-class="cmmi-10">x</span>) = <span
-class="cmmi-10">x</span>sin<span
-class="cmmi-10">x</span>. Unfortunately,
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not really have enough computational power to generate the points on such a function
-efficiently (it is a text processing program, after all). However, if you allow it, <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;can try to call
-external programs that can easily produce the necessary points. Currently, Ti<span
-class="cmti-10">k</span>Z&nbsp;knows how to call
-<span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small></span>.
-<!--l. 947--><p class="indent"> When Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters your operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot[id=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span><span
-class="cmtt-10">&nbsp;function{x*sin(x)}</span></span></span> for the first time, it will create a
-file called <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt; </span>is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\jobname.</span></span></span> by default, that is, the name of you main <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file. If
-no <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt; </span>is given, it will be empty, which is alright, but it is better when each plot has a unique <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt; </span>for
-reasons explained in a moment. Next, Ti<span
-class="cmti-10">k</span>Z&nbsp;writes some initialization code into this file followed by
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span><span
-class="cmtt-10">&nbsp;x*sin(x)</span></span></span>. The initialization code sets up things such that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation will write the
-coordinates into another file called <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span>. Finally, this table file is read as if you had said
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span><span
-class="cmtt-10">&nbsp;file{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table}</span></span></span>.
-<!--l. 960--><p class="indent"> For the plotting mechanism to work, two conditions must be met:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x10-115002x1"></a>You must have allowed <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;to call external programs. This is often switched off by default since this
- is a security risk (you might, without knowing, run a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;file that calls all sorts of &#8220;bad&#8221; commands).
- To enable this &#8220;calling external programs&#8221; a command line option must be given to the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;program.
- Usually, it is called something like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shell-escape</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">enable-write18</span></span></span>. For example, for my <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span>
- the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--shell-escape</span></span></span> can be given.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x10-115004x2"></a>You must have installed the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> program and <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;must find it when compiling your file.</li></ol>
-<!--l. 976--><p class="indent"> Unfortunately, these conditions will not always be met. Especially if you pass some source to a
-coauthor and the coauthor does not have <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>installed, he or she will have trouble compiling your
-files.
-<!--l. 981--><p class="indent"> For this reason, Ti<span
-class="cmti-10">k</span>Z&nbsp;behaves differently when you compile your graphic for the second time: If upon reaching
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot[id=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span><span
-class="cmtt-10">&nbsp;function{...}</span></span></span> the file <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> already exists <span
-class="cmti-10">and </span>if the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> file
-contains what Ti<span
-class="cmti-10">k</span>Z&nbsp;thinks that it &#8220;should&#8221; contain, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file is immediately read without trying to call a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> program. This approach has the following advantages:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x10-115006x1"></a>If you pass a bundle of your <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file and all <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> files to someone else, that person
- can <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file without having to have <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> installed.
-
-
- </li>
- <li class="enumerate" value="2"
-><a
- id="x10-115008x2"></a>If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\write18</span></span></span> feature is switched off for security reasons (a good idea), then, upon the first compilation
- of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> will still be generated, but not the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file. You can then simply call
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> &#8220;by hand&#8221; for each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> file, which will produce all necessary <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> files.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x10-115010x3"></a>If you change the function that you wish to plot or its domain, Ti<span
-class="cmti-10">k</span>Z&nbsp;will automatically try to regenerate
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x10-115012x4"></a>If, out of laziness, you do not provide an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">id</span></span></span>, the same <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> will be used for different plots, but this
- is not a problem since the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> will automatically be regenerated for each plot on-the-fly. <span
-class="cmti-10">Note: If</span>
- <span
-class="cmti-10">you intend to share your files with someone else, always use an id, so that the file can by typeset without</span>
- <span
-class="cmti-10">having </span><span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span><span
-class="cmti-10">installed. </span>Also, having unique ids for each plot will improve compilation speed since
- no external programs need to be called, unless it is really necessary.</li></ol>
-<!--l. 1014--><p class="indent"> When you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span><span
-class="cmtt-10">&nbsp;function{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt; </span>must be given in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> syntax,
-whose details are beyond the scope of this manual. Here is the ultra-condensed essence: Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> as the
-variable and use the C-syntax for normal plots, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">t</span></span></span> as the variable for parametric plots. Here are some
-examples:
-<!--l. 1020--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-144.svg" width="249.52242 " height="228.61324 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-141-" ><colgroup id="TBL-141-1g"><col
-id="TBL-141-1"></colgroup><tr
- valign="baseline" id="TBL-141-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-141-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[domain=0:4]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thin,color=gray]</span><span
-class="cmtt-8">&nbsp;(-0.1,-1.1)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3.9,3.9);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-0.2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4.2,0)</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,4.2)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$f(x)$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[id=x]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;function{x}</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$f(x)</span><span
-class="cmtt-8">&nbsp;=x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[id=sin]</span><span
-class="cmtt-8">&nbsp;function{sin(x)}</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;node[right]</span><span
-class="cmtt-8">&nbsp;{$f(x)</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;\sin</span><span
-class="cmtt-8">&nbsp;x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=orange]</span><span
-class="cmtt-8">&nbsp;plot[id=exp]</span><span
-class="cmtt-8">&nbsp;function{0.05*exp(x)}</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$f(x)</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;\frac{1}{20}</span><span
-class="cmtt-8">&nbsp;\mathrm</span><span
-class="cmtt-8">&nbsp;e^x$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1034--><p class="indent"> The following options influence the plot:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">samples</span><a
- id="dx10-115013"></a><a
- id="dx10-115014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt; </span>sets the number of samples used in the plot. The default is 25.
- </li>
- <li class="itemize"><span
-class="cmtt-10">domain</span><a
- id="dx10-115015"></a><a
- id="dx10-115016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</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</span><span
-class="cmsy-10">&gt; </span>sets the domain between which the samples are taken. The default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-5:5</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">parametric</span><a
- id="dx10-115017"></a><a
- id="dx10-115018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">true or false</span><span
-class="cmsy-10">&gt;</span> sets whether the plot is a parametric plot. If true, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">t</span></span></span> must be used instead of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> as the parameter and two comma-separated functions must be given in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt;</span>. An example is
- the following:
- <!--l. 1047--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-142-" ><colgroup id="TBL-142-1g"><col
-id="TBL-142-1"><col
-id="TBL-142-2"></colgroup><tr
- valign="baseline" id="TBL-142-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-142-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-145.svg" width="36.21193 " height="120.69318 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-142-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[scale=0.5,domain=-3.141:3.141,smooth]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[parametric,id=parametric-example]</span><span
-class="cmtt-8">&nbsp;function{t*sin(t),t*cos(t)};</span></div> </td></tr></table> </td>
-</tr></table>
-
-
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">id</span><a
- id="dx10-115019"></a><a
- id="dx10-115020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt; </span>sets the identifier of the current plot. This should be a unique identifier for each plot (though things
- will also work if it is not, but not as well, see the explanations above). The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt; </span>will be part of a filename, so it
- should not contain anything fancy like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">*</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">$</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">prefix</span><a
- id="dx10-115021"></a><a
- id="dx10-115022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt; </span>is put before each plot file name. The default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\jobname.</span></span></span>, but if you have many plots, it
- might be better to use, say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plots/</span></span></span> and have all plots placed in a directory. You have to create the directory
- yourself.
- </li>
- <li class="itemize"><span
-class="cmtt-10">raw gnuplot</span><a
- id="dx10-115023"></a><a
- id="dx10-115024"></a> causes the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt; </span>to be passed on to <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>without setting up the samples or the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation. Thus, you could write
- <!--l. 1067--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-143-" ><colgroup id="TBL-143-1g"><col
-id="TBL-143-1"></colgroup><tr
- valign="baseline" id="TBL-143-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-143-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">plot[raw</span><span
-class="cmtt-8">&nbsp;gnuplot,id=raw-example]</span><span
-class="cmtt-8">&nbsp;function{set</span><span
-class="cmtt-8">&nbsp;samples</span><span
-class="cmtt-8">&nbsp;25;</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;sin(x)}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 1070--><p class="noindent">This can be useful for complicated things that need to be passed to <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small></span>. However, for really complicated
- situations you should create a special external generating <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>file and use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">file</span></span></span>-syntax to include the
- table &#8220;by hand.&#8221;</li></ul>
-<!--l. 1077--><p class="indent"> The following styles influence the plot:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every plot</span><a
- id="dx10-115025"></a><a
- id="dx10-115026"></a> This style is installed in each plot, that is, as if you always said
- <!--l. 1081--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-144-" ><colgroup id="TBL-144-1g"><col
-id="TBL-144-1"></colgroup><tr
- valign="baseline" id="TBL-144-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-144-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[style=every</span><span
-class="cmtt-8">&nbsp;plot,...]</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 1084--><p class="noindent">This is most useful for globally setting a prefix for all plots by saying:
- <!--l. 1085--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-145-" ><colgroup id="TBL-145-1g"><col
-id="TBL-145-1"></colgroup><tr
- valign="baseline" id="TBL-145-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-145-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;plot}=[prefix=plots/]</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 1092--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.4 </span> <a
- id="x10-1160009.12.4"></a>Placing Marks on the Plot</h5>
-<!--l. 1094--><p class="noindent">As we saw already, it is possible to add <span
-class="cmti-10">marks </span>to a plot using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mark</span></span></span> option. When this option is used, a copy of
-the plot mark is placed on each point of the plot. Note that the marks are placed <span
-class="cmti-10">after </span>the whole path has been
-drawn/filled/shaded. In this respect, they are handled like text nodes.
-<!--l. 1100--><p class="indent"> In detail, the following options govern how marks are drawn:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">mark</span><a
- id="dx10-116001"></a><a
- id="dx10-116002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mark mnemonic</span><span
-class="cmsy-10">&gt; </span>Sets the mark to a mnemonic that has previously been defined using the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareplotmark</span></span></span>. By default, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">*</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> are available, which draw a filled circle, a plus, and a
- cross as marks. Many more marks become available when the library <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryplotmarks</span></span></span> is loaded.
- Section&nbsp;<a
-href="pgfmanualse14.html#x15-17100014.3.3">14.3.3<!--tex4ht:ref: section-plot-marks --></a> lists the available plot marks.
- <!--l. 1110--><p class="noindent">One plot mark is special: the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span></span></span> plot mark is available only it Ti<span
-class="cmti-10">k</span>Z. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span><span
-class="cmtt-10">&nbsp;color</span></span></span> determines the
- balls&#8217;s color. Do not use this option with large number of marks since it will take very long to render
- in PostScript.
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-146-" ><colgroup id="TBL-146-1g"><col
-id="TBL-146-1"><col
-id="TBL-146-2"></colgroup><tr
- valign="baseline" id="TBL-146-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-146-1-1"
-class="td11"> Option </td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-146-1-2"
-class="td11"> Effect </td>
-</tr><tr
-class="hline"><td><hr></td><td><hr></td></tr><tr
- valign="baseline" id="TBL-146-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-146-2-1"
-class="td11"> <a
- id="dx10-116003"></a><a
- id="dx10-116004"></a> <span
-class="cmtt-10">mark=</span><span
-class="cmtt-10">ball</span> </td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-146-2-2"
-class="td11"> <object data="pgfmanual-146.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-146-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-146-3-1"
-class="td11"> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">mark size</span><a
- id="dx10-116005"></a><a
- id="dx10-116006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the size of the plot marks. For circular plot marks, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is the radius, for
- other plot marks <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>should be about half the width and height.
- <!--l. 1125--><p class="noindent">This option is not really necessary, since you achieve the same effect by specifying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>as a local
- option, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>is the quotient of the desired size and the default size. However, using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mark</span><span
-class="cmtt-10">&nbsp;size</span></span></span> is a
- bit faster and more natural.
- </li>
- <li class="itemize"><span
-class="cmtt-10">mark options</span><a
- id="dx10-116007"></a><a
- id="dx10-116008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>These options are applied to marks when they are drawn. For example, you can scale
- (or otherwise transform) the plot mark or set its color.
- <!--l. 1134--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-147.svg" width="384.98726 " height="80.86092 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-147-" ><colgroup id="TBL-147-1g"><col
-id="TBL-147-1"></colgroup><tr
- valign="baseline" id="TBL-147-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-147-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[fill=blue!20]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[mark=triangle*,mark</span><span
-class="cmtt-8">&nbsp;options={color=blue,rotate=180}]</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;file{plots/pgfmanual-sine.table}</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(0,0);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 1143--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.5 </span> <a
- id="x10-1170009.12.5"></a>Smooth Plots, Sharp Plots, and Comb Plots</h5>
-<!--l. 1145--><p class="noindent">There are different things the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation can do with the points it reads from a file or from the inlined list of
-points. By default, it will connect these points by straight lines. However, you can also use options to change the
-behavior of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span>.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">sharp plot</span><a
- id="dx10-117001"></a><a
- id="dx10-117002"></a> This is the default and causes the points to be connected by straight lines. This option is
- included only so that you can &#8220;switch back&#8221; if you &#8220;globally&#8221; install, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">smooth</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">smooth</span><a
- id="dx10-117003"></a><a
- id="dx10-117004"></a> This option causes the points on the path to be connected using a smooth curve:
- <!--l. 1160--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-148.svg" width="380.90178 " height="77.70891 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-148-" ><colgroup id="TBL-148-1g"><col
-id="TBL-148-1"></colgroup><tr
- valign="baseline" id="TBL-148-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-148-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz\draw</span><span
-class="cmtt-8">&nbsp;plot[smooth]</span><span
-class="cmtt-8">&nbsp;file{plots/pgfmanual-sine.table};</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 1164--><p class="noindent">Note that the smoothing algorithm is not very intelligent. You will get the best results if the bending angles
- are small, that is, less than about 30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> and, even more importantly, if the distances between points are about
- the same all over the plotting path.
- </li>
- <li class="itemize"><span
-class="cmtt-10">tension</span><a
- id="dx10-117005"></a><a
- id="dx10-117006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>This option influences how &#8220;tight&#8221; the smoothing is. A lower value will result in sharper
- corners, a higher value in more &#8220;round&#8221; curves. A value of 1 results in a circle if four points at
- quarter-positions on a circle are given. The default is 0<span
-class="cmmi-10">.</span>55. The &#8220;correct&#8221; value depends on the details of
- plot.
-
-
- <!--l. 1176--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-149-" ><colgroup id="TBL-149-1g"><col
-id="TBL-149-1"><col
-id="TBL-149-2"></colgroup><tr
- valign="baseline" id="TBL-149-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-149-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-149.svg" width="77.40701 " height="248.1229 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-149-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[smooth</span><span
-class="cmtt-8">&nbsp;cycle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</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;</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;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[tension=0.2]</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;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(1,-1)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yshift=-2.25cm]</span><span
-class="cmtt-8">&nbsp;plot[tension=0.5]</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;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(1,-1)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yshift=-4.5cm]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[tension=1]</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;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(1,-1)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">smooth cycle</span><a
- id="dx10-117007"></a><a
- id="dx10-117008"></a> This option causes the points on the path to be connected using a closed smooth
- curve.
- <!--l. 1191--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-150-" ><colgroup id="TBL-150-1g"><col
-id="TBL-150-1"><col
-id="TBL-150-2"></colgroup><tr
- valign="baseline" id="TBL-150-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-150-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-150.svg" width="39.47017 " height="47.36565 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-150-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz[scale=0.5]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot[smooth</span><span
-class="cmtt-8">&nbsp;cycle]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;(1,2)}</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;plot</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;</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;</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;(1,2)}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">ycomb</span><a
- id="dx10-117009"></a><a
- id="dx10-117010"></a> This option causes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation to interpret the plotting points differently. Instead of connecting
- them, for each point of the plot a straight line is added to the path from the <span
-class="cmmi-10">x</span>-axis to the point, resulting in a
- sort of &#8220;comb&#8221; or &#8220;bar diagram.&#8221;
- <!--l. 1203--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-151.svg" width="385.70177 " height="82.19424 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-151-" ><colgroup id="TBL-151-1g"><col
-id="TBL-151-1"></colgroup><tr
- valign="baseline" id="TBL-151-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-151-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz\draw[ultra</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;plot[ycomb,thin,mark=*]</span><span
-class="cmtt-8">&nbsp;file{plots/pgfmanual-sine.table};</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 1207--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-152-" ><colgroup id="TBL-152-1g"><col
-id="TBL-152-1"><col
-id="TBL-152-2"></colgroup><tr
- valign="baseline" id="TBL-152-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-152-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-152.svg" width="87.54031 " height="56.98465 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-152-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[ycomb]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red,line</span><span
-class="cmtt-8">&nbsp;width=6pt]</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;plot</span><span
-class="cmtt-8">&nbsp;coordinates{(0,1)</span><span
-class="cmtt-8">&nbsp;(.5,1.2)</span><span
-class="cmtt-8">&nbsp;(1,.6)</span><span
-class="cmtt-8">&nbsp;(1.5,.7)</span><span
-class="cmtt-8">&nbsp;(2,.9)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red!50,line</span><span
-class="cmtt-8">&nbsp;width=4pt,xshift=3pt]</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;plot</span><span
-class="cmtt-8">&nbsp;coordinates{(0,1.2)</span><span
-class="cmtt-8">&nbsp;(.5,1.3)</span><span
-class="cmtt-8">&nbsp;(1,.5)</span><span
-class="cmtt-8">&nbsp;(1.5,.2)</span><span
-class="cmtt-8">&nbsp;(2,.5)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">xcomb</span><a
- id="dx10-117011"></a><a
- id="dx10-117012"></a> This option works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ycomb</span></span></span> except that the bars are horizontal.
-
-
- <!--l. 1219--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-153-" ><colgroup id="TBL-153-1g"><col
-id="TBL-153-1"><col
-id="TBL-153-2"></colgroup><tr
- valign="baseline" id="TBL-153-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-153-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-153.svg" width="41.08911 " height="42.70807 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-153-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot[xcomb,mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(1,0)</span><span
-class="cmtt-8">&nbsp;(0.8,0.2)</span><span
-class="cmtt-8">&nbsp;(0.6,0.4)</span><span
-class="cmtt-8">&nbsp;(0.2,1)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">polar comb</span><a
- id="dx10-117013"></a><a
- id="dx10-117014"></a> This option causes a line from the origin to the point to be added to the path for each plot
- point.
- <!--l. 1227--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-154-" ><colgroup id="TBL-154-1g"><col
-id="TBL-154-1"><col
-id="TBL-154-2"></colgroup><tr
- valign="baseline" id="TBL-154-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-154-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-154.svg" width="86.37679 " height="110.399 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-154-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot[polar</span><span
-class="cmtt-8">&nbsp;comb,</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;mark=pentagon*,mark</span><span
-class="cmtt-8">&nbsp;options={fill=white,draw=red},mark</span><span
-class="cmtt-8">&nbsp;size=4pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(0:1cm)</span><span
-class="cmtt-8">&nbsp;(30:1.5cm)</span><span
-class="cmtt-8">&nbsp;(160:.5cm)</span><span
-class="cmtt-8">&nbsp;(250:2cm)</span><span
-class="cmtt-8">&nbsp;(-60:.8cm)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">only marks</span><a
- id="dx10-117015"></a><a
- id="dx10-117016"></a> This option causes only marks to be shown; no path segments are added to the actual path. This
- can be useful for quickly adding some marks to a path.
- <!--l. 1239--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-155-" ><colgroup id="TBL-155-1g"><col
-id="TBL-155-1"><col
-id="TBL-155-2"></colgroup><tr
- valign="baseline" id="TBL-155-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-155-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-155.svg" width="118.58176 " height="80.64491 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-155-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(2,0)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[only</span><span
-class="cmtt-8">&nbsp;marks,mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(3,-1)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 1249--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.13 </span> <a
- id="x10-1180009.13"></a>The Scoping Operation</h4>
-<!--l. 1251--><p class="noindent">When Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters and opening or a closing brace (<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{</span></span></span> or&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>) at some point where a path operation should come,
-it will open or close a scope. All options that can be applied &#8220;locally&#8221; will be scoped inside the scope. For example,
-if you apply a transformation like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[xshift=1cm]</span></span></span> inside the scoped area, the shifting only applies to the scope. On
-the other hand, an option like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=red</span></span></span> does not have any effect inside a scope since it can only be applied to the
-path as a whole.
-<!--l. 1261--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.14 </span> <a
- id="x10-1190009.14"></a>The Node Operation</h4>
-<!--l. 1263--><p class="noindent">You can add nodes to a path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation. Since this operation is quite complex and since
-the nodes are not really part of the path itself, there is a separate section dealing with nodes, see
-Section&nbsp;<a
-href="pgfmanualse11.html#x12-13600011">11<!--tex4ht:ref: section-nodes --></a>.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse10.html" >next</a>] [<a
-href="pgfmanualse8.html" >prev</a>] [<a
-href="pgfmanualse8.html#tailpgfmanualse8.html" >prev-tail</a>] [<a
-href="pgfmanualse9.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse9.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse9.html"></a>
-</body></html>