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<a name="g_t3D-plotting"></a>
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<a name="g_t3D-plotting-1"></a>
<h2 class="section">4.12 3D plotting</h2>
<a name="index-Surf3"></a>
<a name="index-Dens3"></a>
<a name="index-Cont3"></a>
<a name="index-ContF3"></a>
<a name="index-Grid3"></a>
<a name="index-Cloud"></a>
<a name="index-Beam"></a>

<p>These functions perform plotting of 3D data. 3D means that data depend from 3 independent parameters like matrix <em>f(x_i,y_j,z_k), i=1...n, j=1...m, k=1...l</em>. By default (if absent) values of <var>x</var>, <var>y</var>, <var>z</var> are equidistantly distributed in axis range. The minor dimensions of arrays <var>x</var>, <var>y</var>, <var>z</var>, <var>a</var> should be equal <code>x.nx=a.nx &amp;&amp; y.nx=a.ny &amp;&amp; z.nz=a.nz</code> or <code>x.nx=y.nx=z.nx=a.nx &amp;&amp; x.ny=y.ny=z.ny=a.ny &amp;&amp; x.nz=y.nz=z.nz=a.nz</code>. Arrays <var>x</var>, <var>y</var> and <var>z</var> can be vectors (not matrices as <var>a</var>). String <var>sch</var> sets the color scheme (see <a href="mathgl_en_24.html#Color-scheme">Color scheme</a>) for plot. String <var>opt</var> contain command options (see <a href="mathgl_en_27.html#Command-options">Command options</a>). See section <a href="mathgl_en_16.html#g_t3D-samples">3D samples</a>, for sample code and picture.
</p>
<p><a name="surf3"></a>
</p><dl>
<dt><a name="index-surf3"></a><u>MGL command:</u> <b>surf3</b><i> adat <code>val</code> ['sch'='']</i></dt>
<dt><a name="index-surf3-1"></a><u>MGL command:</u> <b>surf3</b><i> xdat ydat zdat adat <code>val</code> ['sch'='']</i></dt>
<dt><a name="index-Surf3-1"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Surf3</b><i> (<code>mreal</code> val, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Surf3-2"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Surf3</b><i> (<code>mreal</code> val, <code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fsurf3_005fval"></a><u>C function:</u> <code>void</code> <b>mgl_surf3_val</b><i> (<code>HMGL</code> gr, <code>mreal</code> val, <code>HCDT</code> a, <code>const char *</code>sch, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fsurf3_005fxyz_005fval"></a><u>C function:</u> <code>void</code> <b>mgl_surf3_xyz_val</b><i> (<code>HMGL</code> gr, <code>mreal</code> val, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>const char *</code>opt)</i></dt>
<dd><p>The function draws isosurface plot for 3d array specified parametrically <var>a</var>[i,j,k](<var>x</var>[i,j,k], <var>y</var>[i,j,k], <var>z</var>[i,j,k]) at <var>a</var>(x,y,z)=<var>val</var>. If string contain &lsquo;<samp>#</samp>&rsquo; then wire plot is produced. If string <var>sch</var> have symbol &lsquo;<samp>.</samp>&rsquo; then plot by dots is produced. Note, that there is possibility of incorrect plotting due to uncertainty of cross-section defining if there are two or more isosurface intersections inside one cell. See also <a href="#cloud">cloud</a>, <a href="#dens3">dens3</a>, <a href="mathgl_en_42.html#surf3c">surf3c</a>, <a href="mathgl_en_42.html#surf3a">surf3a</a>, <a href="mathgl_en_40.html#axial">axial</a>. See section <a href="mathgl_en_16.html#Surf3-sample">Surf3 sample</a>, for sample code and picture.
</p></dd></dl>

<dl>
<dt><a name="index-surf3-2"></a><u>MGL command:</u> <b>surf3</b><i> adat ['sch'='']</i></dt>
<dt><a name="index-surf3-3"></a><u>MGL command:</u> <b>surf3</b><i> xdat ydat zdat adat ['sch'='']</i></dt>
<dt><a name="index-Surf3-3"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Surf3</b><i> (<code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Surf3-4"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Surf3</b><i> (<code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fsurf3"></a><u>C function:</u> <code>void</code> <b>mgl_surf3</b><i> (<code>HMGL</code> gr, <code>HCDT</code> a, <code>const char *</code>sch, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fsurf3_005fxyz"></a><u>C function:</u> <code>void</code> <b>mgl_surf3_xyz</b><i> (<code>HMGL</code> gr, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>const char *</code>opt)</i></dt>
<dd><p>Draws <var>num</var>-th uniformly distributed in color range isosurfaces for 3d data. Here <var>num</var> is equal to parameter <var>value</var> in options <var>opt</var> (default is 3).
</p></dd></dl>

<p><a name="cloud"></a>
</p><dl>
<dt><a name="index-cloud"></a><u>MGL command:</u> <b>cloud</b><i> adat ['sch'='']</i></dt>
<dt><a name="index-cloud-1"></a><u>MGL command:</u> <b>cloud</b><i> xdat ydat zdat adat ['sch'='']</i></dt>
<dt><a name="index-Cloud-1"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Cloud</b><i> (<code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Cloud-2"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Cloud</b><i> (<code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fcloud"></a><u>C function:</u> <code>void</code> <b>mgl_cloud</b><i> (<code>HMGL</code> gr, <code>HCDT</code> a, <code>const char *</code>sch, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fcloud_005fxyz"></a><u>C function:</u> <code>void</code> <b>mgl_cloud_xyz</b><i> (<code>HMGL</code> gr, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>const char *</code>opt)</i></dt>
<dd><p>The function draws cloud plot for 3d data specified parametrically <var>a</var>[i,j,k](<var>x</var>[i,j,k], <var>y</var>[i,j,k], <var>z</var>[i,j,k]). This plot is a set of cubes with color and transparency proportional to value of <var>a</var>. The resulting plot is like cloud &ndash; low value is transparent but higher ones are not. The number of plotting cells depend on <a href="mathgl_en_31.html#meshnum">meshnum</a>. If string <var>sch</var> contain symbol &lsquo;<samp>.</samp>&rsquo; then lower quality plot will produced with much low memory usage. If string <var>sch</var> contain symbol &lsquo;<samp>i</samp>&rsquo; then transparency will be inversed, i.e. higher become transparent and lower become not transparent. See also <a href="#surf3">surf3</a>, <a href="mathgl_en_31.html#meshnum">meshnum</a>. See section <a href="mathgl_en_16.html#Cloud-sample">Cloud sample</a>, for sample code and picture.
</p></dd></dl>

<p><a name="dens3"></a>
</p><dl>
<dt><a name="index-dens3"></a><u>MGL command:</u> <b>dens3</b><i> adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-dens3-1"></a><u>MGL command:</u> <b>dens3</b><i> xdat ydat zdat adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-Dens3-1"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Dens3</b><i> (<code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Dens3-2"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Dens3</b><i> (<code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fdens3"></a><u>C function:</u> <code>void</code> <b>mgl_dens3</b><i> (<code>HMGL</code> gr, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fdens3_005fxyz"></a><u>C function:</u> <code>void</code> <b>mgl_dens3_xyz</b><i> (<code>HMGL</code> gr, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dd><p>The function draws density plot for 3d data specified parametrically <var>a</var>[i,j,k](<var>x</var>[i,j,k], <var>y</var>[i,j,k], <var>z</var>[i,j,k]). Density is plotted at slice <var>sVal</var> in direction {&lsquo;<samp>x</samp>&rsquo;, &lsquo;<samp>y</samp>&rsquo;, &lsquo;<samp>z</samp>&rsquo;} if <var>sch</var> contain corresponding symbol (by default, &lsquo;<samp>y</samp>&rsquo; direction is used). If string <var>stl</var> have symbol &lsquo;<samp>#</samp>&rsquo; then grid lines are drawn. See also <a href="#cont3">cont3</a>, <a href="#contf3">contf3</a>, <a href="mathgl_en_40.html#dens">dens</a>, <a href="#grid3">grid3</a>. See section <a href="mathgl_en_16.html#Dens3-sample">Dens3 sample</a>, for sample code and picture.
</p></dd></dl>

<p><a name="cont3"></a>
</p><dl>
<dt><a name="index-cont3"></a><u>MGL command:</u> <b>cont3</b><i> vdat adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-cont3-1"></a><u>MGL command:</u> <b>cont3</b><i> vdat xdat ydat zdat adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-Cont3-1"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Cont3</b><i> (<code>const mglDataA &amp;</code>v, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Cont3-2"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Cont3</b><i> (<code>const mglDataA &amp;</code>v, <code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fcont3_005fval"></a><u>C function:</u> <code>void</code> <b>mgl_cont3_val</b><i> (<code>HMGL</code> gr, <code>HCDT</code> v, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fcont3_005fxyz_005fval"></a><u>C function:</u> <code>void</code> <b>mgl_cont3_xyz_val</b><i> (<code>HMGL</code> gr, <code>HCDT</code> v, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dd><p>The function draws contour plot for 3d data specified parametrically <var>a</var>[i,j,k](<var>x</var>[i,j,k], <var>y</var>[i,j,k], <var>z</var>[i,j,k]). Contours are plotted for values specified in array <var>v</var> at slice <var>sVal</var> in direction {&lsquo;<samp>x</samp>&rsquo;, &lsquo;<samp>y</samp>&rsquo;, &lsquo;<samp>z</samp>&rsquo;} if <var>sch</var> contain corresponding symbol (by default, &lsquo;<samp>y</samp>&rsquo; direction is used). If string <var>sch</var> have symbol &lsquo;<samp>#</samp>&rsquo; then grid lines are drawn. If string <var>sch</var> have symbol &lsquo;<samp>t</samp>&rsquo; or &lsquo;<samp>T</samp>&rsquo; then contour labels will be drawn below (or above) the contours. See also <a href="#dens3">dens3</a>, <a href="#contf3">contf3</a>, <a href="mathgl_en_40.html#cont">cont</a>, <a href="#grid3">grid3</a>. See section <a href="mathgl_en_16.html#Cont3-sample">Cont3 sample</a>, for sample code and picture.
</p></dd></dl>

<dl>
<dt><a name="index-cont3-2"></a><u>MGL command:</u> <b>cont3</b><i> adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-cont3-3"></a><u>MGL command:</u> <b>cont3</b><i> xdat ydat zdat adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-Cont3-3"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Cont3</b><i> (<code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Cont3-4"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Cont3</b><i> (<code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fcont3"></a><u>C function:</u> <code>void</code> <b>mgl_cont3</b><i> (<code>HMGL</code> gr, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fcont3_005fxyz"></a><u>C function:</u> <code>void</code> <b>mgl_cont3_xyz</b><i> (<code>HMGL</code> gr, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dd><p>The same as previous with vector <var>v</var> of <var>num</var>-th elements equidistantly distributed in color range. Here <var>num</var> is equal to parameter <var>value</var> in options <var>opt</var> (default is 7).
</p></dd></dl>

<p><a name="contf3"></a>
</p><dl>
<dt><a name="index-contf3"></a><u>MGL command:</u> <b>contf3</b><i> vdat adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-contf3-1"></a><u>MGL command:</u> <b>contf3</b><i> vdat xdat ydat zdat adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-Contf3"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Contf3</b><i> (<code>const mglDataA &amp;</code>v, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Contf3-1"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Contf3</b><i> (<code>const mglDataA &amp;</code>v, <code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fcontf3_005fval"></a><u>C function:</u> <code>void</code> <b>mgl_contf3_val</b><i> (<code>HMGL</code> gr, <code>HCDT</code> v, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fcontf3_005fxyz_005fval"></a><u>C function:</u> <code>void</code> <b>mgl_contf3_xyz_val</b><i> (<code>HMGL</code> gr, <code>HCDT</code> v, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dd><p>The function draws solid (or filled) contour plot for 3d data specified parametrically <var>a</var>[i,j,k](<var>x</var>[i,j,k], <var>y</var>[i,j,k], <var>z</var>[i,j,k]). Contours are plotted for values specified in array <var>v</var> at slice <var>sVal</var> in direction {&lsquo;<samp>x</samp>&rsquo;, &lsquo;<samp>y</samp>&rsquo;, &lsquo;<samp>z</samp>&rsquo;} if <var>sch</var> contain corresponding symbol (by default, &lsquo;<samp>y</samp>&rsquo; direction is used). If string <var>sch</var> have symbol &lsquo;<samp>#</samp>&rsquo; then grid lines are drawn. See also <a href="#dens3">dens3</a>, <a href="#cont3">cont3</a>, <a href="mathgl_en_40.html#contf">contf</a>, <a href="#grid3">grid3</a>. See section <a href="mathgl_en_16.html#ContF3-sample">ContF3 sample</a>, for sample code and picture.
</p></dd></dl>

<dl>
<dt><a name="index-contf3-2"></a><u>MGL command:</u> <b>contf3</b><i> adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-contf3-3"></a><u>MGL command:</u> <b>contf3</b><i> xdat ydat zdat adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-Contf3-2"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Contf3</b><i> (<code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Contf3-3"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Contf3</b><i> (<code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fcontf3"></a><u>C function:</u> <code>void</code> <b>mgl_contf3</b><i> (<code>HMGL</code> gr, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fcontf3_005fxyz"></a><u>C function:</u> <code>void</code> <b>mgl_contf3_xyz</b><i> (<code>HMGL</code> gr, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dd><p>The same as previous with vector <var>v</var> of <var>num</var>-th elements equidistantly distributed in color range. Here <var>num</var> is equal to parameter <var>value</var> in options <var>opt</var> (default is 7).
</p></dd></dl>

<p><a name="grid3"></a>
</p><dl>
<dt><a name="index-grid3"></a><u>MGL command:</u> <b>grid3</b><i> adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-grid3-1"></a><u>MGL command:</u> <b>grid3</b><i> xdat ydat zdat adat ['sch'='' <code>sval=-1</code>]</i></dt>
<dt><a name="index-Grid3-1"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Grid3</b><i> (<code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-Grid3-2"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Grid3</b><i> (<code>const mglDataA &amp;</code>x, <code>const mglDataA &amp;</code>y, <code>const mglDataA &amp;</code>z, <code>const mglDataA &amp;</code>a, <code>const char *</code>sch=<code>&quot;&quot;</code>, <code>mreal</code> sVal=<code>-1</code>, <code>const char *</code>opt=<code>&quot;&quot;</code>)</i></dt>
<dt><a name="index-mgl_005fgrid3"></a><u>C function:</u> <code>void</code> <b>mgl_grid3</b><i> (<code>HMGL</code> gr, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dt><a name="index-mgl_005fgrid3_005fxyz"></a><u>C function:</u> <code>void</code> <b>mgl_grid3_xyz</b><i> (<code>HMGL</code> gr, <code>HCDT</code> x, <code>HCDT</code> y, <code>HCDT</code> z, <code>HCDT</code> a, <code>const char *</code>sch, <code>mreal</code> sVal, <code>const char *</code>opt)</i></dt>
<dd><p>The function draws grid for 3d data specified parametrically <var>a</var>[i,j,k](<var>x</var>[i,j,k], <var>y</var>[i,j,k], <var>z</var>[i,j,k]). Grid is plotted at slice <var>sVal</var> in direction {&lsquo;<samp>x</samp>&rsquo;, &lsquo;<samp>y</samp>&rsquo;, &lsquo;<samp>z</samp>&rsquo;} if <var>sch</var> contain corresponding symbol (by default, &lsquo;<samp>y</samp>&rsquo; direction is used). See also <a href="#cont3">cont3</a>, <a href="#contf3">contf3</a>, <a href="#dens3">dens3</a>, <a href="mathgl_en_40.html#grid2">grid2</a>, <a href="mathgl_en_31.html#meshnum">meshnum</a>.
</p></dd></dl>

<p><a name="beam"></a>
</p><dl>
<dt><a name="index-beam"></a><u>MGL command:</u> <b>beam</b><i> tr g1 g2 adat <code>rval</code> ['sch'='' <code>flag=0 num=3</code>]</i></dt>
<dt><a name="index-Beam-1"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Beam</b><i> (<code>const mglDataA &amp;</code>tr, <code>const mglDataA &amp;</code>g1, <code>const mglDataA &amp;</code>g2, <code>const mglDataA &amp;</code>a, <code>mreal</code> r, <code>const char *</code>stl=<code>&quot;&quot;</code>, <code>int</code> flag=<code>0</code>, <code>int</code> num=<code>3</code>)</i></dt>
<dt><a name="index-Beam-2"></a><u>Method on <code>mglGraph</code>:</u> <code>void</code> <b>Beam</b><i> (<code>mreal</code> val, <code>const mglDataA &amp;</code>tr, <code>const mglDataA &amp;</code>g1, <code>const mglDataA &amp;</code>g2, <code>const mglDataA &amp;</code>a, <code>mreal</code> r, <code>const char *</code>stl=<code>&quot;&quot;</code>, <code>int</code> flag=<code>0</code>)</i></dt>
<dt><a name="index-mgl_005fbeam"></a><u>C function:</u> <code>void</code> <b>mgl_beam</b><i> (<code>HMGL</code> gr, <code>HCDT</code> tr, <code>HCDT</code> g1, <code>HCDT</code> g2, <code>HCDT</code> a, <code>mreal</code> r, <code>const char *</code>stl, <code>int</code> flag, <code>int</code> num)</i></dt>
<dt><a name="index-mgl_005fbeam_005fval"></a><u>C function:</u> <code>void</code> <b>mgl_beam_val</b><i> (<code>HMGL</code> gr, <code>mreal</code> val, <code>HCDT</code> tr, <code>HCDT</code> g1, <code>HCDT</code> g2, <code>HCDT</code> a, <code>mreal</code> r, <code>const char *</code>stl, <code>int</code> flag)</i></dt>
<dd><p>Draws the isosurface for 3d array <var>a</var> at constant values of <var>a</var>=<var>val</var>. This is special kind of plot for <var>a</var> specified in accompanied coordinates along curve <var>tr</var> with orts <var>g1</var>, <var>g2</var> and with transverse scale <var>r</var>. Variable <var>flag</var> is bitwise: &lsquo;<samp>0x1</samp>&rsquo; - draw in accompanied (not laboratory) coordinates; &lsquo;<samp>0x2</samp>&rsquo; - draw projection to <em>\rho-z</em> plane; &lsquo;<samp>0x4</samp>&rsquo; - draw normalized in each slice field. The x-size of data arrays <var>tr</var>, <var>g1</var>, <var>g2</var> must be nx&gt;2. The y-size of data arrays <var>tr</var>, <var>g1</var>, <var>g2</var> and z-size of the data array <var>a</var> must be equal. See also <a href="#surf3">surf3</a>.
</p></dd></dl>



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