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extrema / usr / share / extrema / Help / Commands / Contour.htm
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<TITLE>CONTOUR command</TITLE>
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<P><A NAME="contourcommand"></A>
<font size=+3 color="green"><B>CONTOUR 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%"><CODE>
CONTOUR { x y } z nctr { min { incr }}<BR>
CONTOUR\SPECIFIC { x y } z lvls</CODE>
</TD></TR>
<TR>
<TD width="15%" valign="top"><B>Qualifiers:</B></TD>
<TD width="85%"><CODE>
<NOBR>\SPECIFIC,</NOBR> <NOBR>\POLAR,</NOBR> <NOBR>\LEGEND,</NOBR>
<NOBR>\COLORS,</NOBR> <NOBR>\LINETYPES,</NOBR> <NOBR>\LINEWIDTHS,</NOBR> <NOBR>\PARTIAL,</NOBR>
<NOBR>\RESET,</NOBR> <NOBR>\BORDER,</NOBR> <NOBR>\AXES,</NOBR>
<NOBR>\CONTINUE</NOBR></CODE>
</TD></TR>
<TR>
<TD width="15%" valign="top"><B>Defaults:</B></TD>
<TD width="85%"><CODE>
X=[1;2;3;…], y=[1;2;3;…], <NOBR>\-SPECIFIC,</NOBR>
<NOBR>\-POLAR,</NOBR> <NOBR>\-LEGEND,</NOBR> <NOBR>\-COLORS,</NOBR>
<NOBR>\-LINETYPES,</NOBR> <NOBR>\-LINEWIDTHS,</NOBR> <NOBR>\-PARTIAL,</NOBR>
<NOBR>\-RESET,</NOBR><NOBR>\BORDER,</NOBR> <NOBR>\AXES,</NOBR>
<NOBR>\-CONTINUE</NOBR></CODE>
</TD></TR>
<TR>
<TD width="15%" valign="top"><B>Examples:</B></TD>
<TD width="85%"><CODE>
CONTOUR X Y Z 10<br>
CONTOUR M 10 MINVAL<br>
CONTOUR\SPECIFIC X Y M LEVELS</CODE>
</TD></TR>
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<P>
 The <TT>CONTOUR</TT> command draws contour lines for data contained in a
 regular matrix.  If you instead have a scattered set of points contained in three vectors,
 first create a regular matrix from the data using the
 <a href="Grid.htm"><tt><font color="blue">GRID</font></TT></a> command.</P>
<P>
 Suppose that <CODE><font color="blue">z</font></CODE> is a matrix which has <i>n</i> columns and <i>m</i>
 rows.  The vectors <CODE><font color="blue">x</font></CODE> and <CODE><font color="blue">y</font></CODE>
 are optional, and if entered, are used for scaling the axes. Each matrix element,
 <code><font color="blue">z</font>[i,j]</code>, is associated with the coordinates
 <code>(<font color="blue">x</font>[j],<font color="blue">y</font>[i])</code>.
 The length of <CODE><font color="blue">x</font></CODE> must be greater than or equal to <i>n</i>
 and the length of <CODE><font color="blue">y</font></CODE> must be greater than or equal
 to <i>m</i>.</P>
<P>
 If <CODE><font color="blue">x</font></CODE> and <CODE><font color="blue">y</font></CODE> are not entered,
 <CODE><font color="blue">x</font></CODE> defaults to the set <CODE>[1;2;3;...;<i>n</i>]</CODE>, and
 <CODE><font color="blue">y</font></CODE> defaults to the set <CODE>[1;2;3;...;<i>m</i>]</CODE>, so that
 matrix element <code><i>z</i>[i,j]</code> is
 associated with the coordinates <code>(j,i)</code>.</P>
<p>
<font size="+1" color="green">Polar coordinates</font></P>
<P>
 By default, the vectors <CODE><font color="blue">x</font></CODE> and
 <CODE><font color="blue">y</font></CODE> are assumed to represent
 Cartesian coordinates. If the <CODE><font color="blue">\POLAR</font></CODE>
 qualifier is used, <CODE><font color="blue">x</font></CODE> and
 <CODE><font color="blue">y</font></CODE> are assumed to represent polar
 coordinates, with <CODE><font color="blue">x</font></CODE> the radial
 component and <CODE><font color="blue">y</font></CODE> the angular component,
 in degrees. The values are converted internally to rectangular coordinates,
 and the vectors are returned unchanged.</P>
<P>
<font size="+1" color="green">Matrix boundary</font></P>
<P>
 By default, the boundary of the matrix is outlined within the axes. If this
 boundary is not desired, use the
 <CODE><font color="blue">\-BORDER</font></CODE> qualifier.</P>
<P>
<font size="+1" color="green">Add more contours</font></P>
<P>
 To add more contours to an existing contour plot, re-issue the contour command
 with the <CODE><font color="blue">\CONTINUE</font></CODE></TT> qualifier.  If a legend
 is being drawn, it will be continued from where it left off. You must have used the
 <CODE><font color="blue">\-RESET</font></CODE> qualifier on the previous
 <CODE><font color="blue">CONTOUR</font></CODE></TT> command if you intend to
 use <CODE><font color="blue">\CONTINUE</font></CODE> on a
 succeeding <CODE><font color="blue">CONTOUR</font></CODE> command.</P>
<p>
<a href="ContourS01.htm"><font size="+1" color="olive">Contour level selection</font></a><br>
<a href="ContourS02.htm"><font size="+1" color="olive">Contour line properties</font></a><br>
<a href="ContourS03.htm"><font size="+1" color="olive">Legend</font></a><br>
<a href="ContourS04.htm"><font size="+1" color="olive">Axes</font></a><br>
<a href="ContourS05.htm"><font size="+1" color="olive">Examples</font></a></P>
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