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<HTML>
<HEAD>
<TITLE>SORT command</TITLE>
</HEAD>
<BODY BGCOLOR="#FFFFFF" TEXT="#000000">
<P><font size="+3" color="green"><B>SORT command</B></font></P>
<TABLE border="1" cols="2" frame="box" rules="all" width="572">
<TR>
<TD width="15%" valign="top"><B>Syntax</B>:</TD>
<TD width="85%" valign="top"><CODE>SORT x { x1 x2 ... }</CODE></TD></TR>
<TR>
<TD valign="top"><B>Qualifiers</B>:</TD>
<TD valign="top"><CODE>\UP, \DOWN</CODE></TD></TR>
<TR>
<TD valign="top"><B>Defaults</B>:</TD>
<TD valign="top"><CODE>\UP</CODE></TD></TR>
</TABLE>
<P>
The <CODE>SORT</CODE> command sorts vectors into
ascending or descending order. By default, the vector
<CODE>x</CODE> is sorted into ascending order.
Ascending order means that element <CODE>1</CODE> will be the smallest
element. To sort vector <CODE>x</CODE> into
descending order, use the <CODE>\DOWN</CODE>
qualifier. Descending order means that element <CODE>1</CODE> will
be the largest. Vector <CODE>x</CODE> will be
altered. If other vectors, <CODE>xI</CODE>, are
entered, then they will not be sorted, but they will be re-arranged in
the same way that <CODE>x</CODE> is re-arranged.
For example, if element <CODE>x[i]</CODE> becomes
<CODE>x[j]</CODE> because of sorting, then <CODE>xI[i]</CODE> will become <CODE>xI[j]</CODE>.</P>
<P>
<font size="+1" color="green">Example 1</font></p>
<p>
Suppose you have a data vector, <CODE>X = [1;2;3;4;5]</CODE><br />
To sort <CODE>X</CODE> into descending order, enter:</p>
<p>
<CODE><font color="blue">SORT\DOWN X</font></CODE></p>
<p>
after which <CODE>X = [5;4;3;2;1]</CODE></p>
<P>
<font size="+1" color="green">Example 2</font></p>
<p>
Suppose you have three data vectors, <CODE>X</CODE>, <CODE>Y</CODE>, and
<CODE>Z</CODE>, which represent rectangular coordinates and an associated
altitude:
<CODE>X = [1;2;3;4;5]</CODE>,
<CODE>Y = [10;8;6;4;2]</CODE>,
<CODE>Z = [-.3;-1;-.5;2;-2]</CODE></p>
<p>
If you want to sort <CODE>Z</CODE> into descending order, without breaking
up the triplets, enter:</p>
<p>
<CODE><font color="blue">SORT\DOWN Z X Y</font></CODE></p>
<p>
After which the vectors are:
<CODE>X = [4;1;3;2;5]</CODE>,
<CODE>Y = [4;10;6;8;2]</CODE>,
<CODE>Z = [2;-.3;-.5;-1;-2]</CODE></p>
<P>
<font size="+1" color="green">Example 3</font></p>
<p>
Suppose you have three data vectors, <CODE>X</CODE>, <CODE>Y</CODE>, and
<CODE>Z</CODE>, which represent rectangular coordinates and an associated
altitude:
<CODE>X = [1;2;3;4;5]</CODE>,
<CODE>Y = [10;8;6;4;2]</CODE>,
<CODE>Z = [-.3;-1;-.5;2;-2]</CODE></p>
<p>
If you want to sort <CODE>Y</CODE> into ascending order, without breaking up
the triplets, enter:</p>
<p>
<CODE><font color="blue">SORT\DOWN Y X Z</font></CODE></p>
<p>
After which the vectors are:
<CODE>X = [5;4;3;2;1]</CODE>,
<CODE>Y = [2;4;6;8;10]</CODE>,
<CODE>Z = [-2;2;-.5;-1;-.3]</CODE></P>
</BODY>
</HTML>
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