<?xml version="1.0" encoding="UTF-8"?>
<!--
 * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
 * Copyright (C) INRIA - Farid Belahcene
 *
 * Copyright (C) 2012 - 2016 - Scilab Enterprises
 *
 * This file is hereby licensed under the terms of the GNU GPL v2.0,
 * pursuant to article 5.3.4 of the CeCILL v.2.1.
 * This file was originally licensed under the terms of the CeCILL v2.1,
 * and continues to be available under such terms.
 * For more information, see the COPYING file which you should have received
 * along with this program.
 *
 -->
<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink"
        xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML"
        xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"
        xml:lang="en" xml:id="mesh">
    <refnamediv>
        <refname>mesh</refname>
        <refpurpose>3D mesh plot</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>Syntax</title>
        <synopsis>mesh(Z)
            mesh(X,Y,Z)
            mesh(...,&lt;GlobalProperty&gt;)
            mesh(...,&lt;color&gt;,&lt;GlobalProperty&gt;)
            mesh(&lt;axes_handle&gt;,...)
        </synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>Arguments</title>
        <variablelist>
            <varlistentry>
                <term>Z</term>
                <listitem>
                    <para>
                        a real matrix defining the surface height. It can not be
                        omitted. The <varname>Z</varname> data is a
                        <literal>m</literal>-by-<literal>n</literal> matrix.
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>X, Y</term>
                <listitem>
                    <para>
                        two real matrices : always set together, these data defines a
                        new standard grid. This new <varname>X</varname> and <varname>Y</varname>
                        components of the grid must match <varname>Z</varname> dimensions (see
                        description below).
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>color</term>
                <listitem>
                    <para>
                        an optional real matrix defining a color value for each
                        <literal>(X(j),Y(i))</literal> point of the grid (see description
                        below).
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>&lt;GlobalProperty&gt;</term>
                <listitem>
                    <para>
                        this optional argument represents a sequence of couple
                        statements <literal>{PropertyName,PropertyValue}</literal> that defines
                        global objects' properties applied to all the curves created by this
                        plot. For a complete view of the available properties (see
                        <link linkend="GlobalProperty">GlobalProperty</link>).
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>&lt;axes_handle&gt;</term>
                <listitem>
                    <para>
                        this optional argument forces the plot to appear inside the
                        selected axes given by <varname>axes_handle</varname> rather than the
                        current axes (see <link linkend="gca">gca</link>).
                    </para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>Description</title>
        <para>
            <function>mesh</function> draws a parametric surface using a rectangular grid
            defined by <varname>X</varname> and <varname>Y</varname> coordinates (if
            <literal>{X,Y}</literal> are not specified, this grid is determined using the
            dimensions of the <varname>Z</varname> matrix); at each point of this grid, a z
            coordinate is given using the <varname>Z</varname> matrix. <function>mesh</function> is
            based on the <function>surf</function> command with default option
            <literal>color_mode</literal> = white index (inside the current colormap) and
            <literal>color_flag</literal> = 0.
        </para>
        <para>Data entry specification :</para>
        <para>
            In this paragraph and to be more clear, we won't mention
            <varname>GlobalProperty</varname> optional arguments as they do not interfere
            with entry data (except for <literal>"Xdata"</literal>,
            <literal>"Ydata"</literal> and <literal>"Zdata"</literal>
            property, see <link linkend="GlobalProperty">GlobalProperty</link>). It is
            assumed that all those optional arguments could be present too.
        </para>
        <para>
            If <varname>Z</varname> is the only matrix specified, <code>mesh(Z)</code>
            plots the matrix <varname>Z</varname> versus the grid defined by
            <code>1:size(Z,2)</code> along the x axis and <code>1:size(Z,1)</code>
            along the y axis.
        </para>
    </refsection>
    <refsection>
        <title>Remarks</title>
        <para>
            To enable the transparency mode you should set the
            <literal>color_mode</literal> option to 0.
        </para>
    </refsection>
    <refsection>
        <title>Examples</title>
        <programlisting role="example"><![CDATA[
[X,Y]=meshgrid(-1:.1:1,-1:.1:1);
Z=X.^2-Y.^2;
xtitle('$\huge z=x^2-y^2$');
mesh(X,Y,Z);
 ]]></programlisting>
        <scilab:image>
            [X,Y]=meshgrid(-1:.1:1,-1:.1:1);
            Z=X.^2-Y.^2;
            xtitle('$\huge z=x^2-y^2$');
            mesh(X,Y,Z);
        </scilab:image>
    </refsection>
    <refsection role="see also">
        <title>See also</title>
        <simplelist type="inline">
            <member>
                <link linkend="surf">surf</link>
            </member>
            <member>
                <link linkend="meshgrid">meshgrid</link>
            </member>
            <member>
                <link linkend="plot2d">plot2d</link>
            </member>
            <member>
                <link linkend="LineSpec">LineSpec</link>
            </member>
            <member>
                <link linkend="GlobalProperty">GlobalProperty</link>
            </member>
        </simplelist>
    </refsection>
    <refsection role="history">
        <title>History</title>
        <revhistory>
            <revision>
                <revnumber>6.0.2</revnumber>
                <revdescription>
                    The "Foreground", "markForeground", and "markBackground" global properties
                    colors can now be specified as named colors chosen in the full predefined colors
                    list, or by their "#RRGGBB" hexadecimal codes, or by their colormap indices.
                </revdescription>
            </revision>
        </revhistory>
    </refsection>
</refentry>
