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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">
-<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">
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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>