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<title>MathGL 2.1.2: 6.9 Data information</title>
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<a name="Data-information"></a>
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<a name="Data-information-1"></a>
<h2 class="section">6.9 Data information</h2>
<p>There are a set of functions for obtaining data properties in MGL language. However most of them can be found using "suffixes". Suffix can get some numerical value of the data array (like its size, maximal or minimal value, the sum of elements and so on) as number. Later it can be used as usual number in command arguments. The suffixes start from point ‘<samp>.</samp>’ right after (without spaces) variable name or its sub-array. For example, <code>a.nx</code> give the x-size of data <var>a</var>, <code>b(1).max</code> give maximal value of second row of variable <var>b</var>, <code>(c(:,0)^2).sum</code> give the sum of squares of elements in the first column of <var>c</var> and so on.
</p>
<a name="index-PrintInfo"></a>
<p><a name="info"></a>
</p><dl>
<dt><a name="index-info"></a><u>MGL command:</u> <b>info</b><i> dat</i></dt>
<dt><a name="index-PrintInfo-1"></a><u>Method on <code>mglData</code>:</u> <code>const char *</code> <b>PrintInfo</b><i> () <code>const</code></i></dt>
<dt><a name="index-PrintInfo-2"></a><u>Method on <code>mglData</code>:</u> <code>void</code> <b>PrintInfo</b><i> (<code>FILE *</code>fp) <code>const</code></i></dt>
<dt><a name="index-PrintInfo-3"></a><u>Method on <code>mglDataC</code>:</u> <code>const char *</code> <b>PrintInfo</b><i> () <code>const</code></i></dt>
<dt><a name="index-PrintInfo-4"></a><u>Method on <code>mglDataC</code>:</u> <code>void</code> <b>PrintInfo</b><i> (<code>FILE *</code>fp) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005finfo"></a><u>C function:</u> <code>const char *</code> <b>mgl_data_info</b><i> (<code>HCDT</code> dat)</i></dt>
<dd><p>Gets or prints to file <var>fp</var> or as message (in MGL) information about the data (sizes, maximum/minimum, momentums and so on).
</p></dd></dl>
<dl>
<dt><a name="index-info-1"></a><u>MGL command:</u> <b>info</b><i> 'txt'</i></dt>
<dd><p>Prints string <var>txt</var> as message.
</p></dd></dl>
<dl>
<dt><a name="index-info-2"></a><u>MGL command:</u> <b>info</b><i> val</i></dt>
<dd><p>Prints value of number <var>val</var> as message.
</p></dd></dl>
<a name="index-GetNx-2"></a>
<a name="index-GetNy-2"></a>
<a name="index-GetNz-2"></a>
<p><a name="g_t_002enx"></a> <a name="g_t_002eny"></a> <a name="g_t_002enz"></a>
</p><dl>
<dt><a name="index-_002enx"></a><u>MGL suffix:</u> (dat) <b>.nx</b></dt>
<dt><a name="index-_002eny"></a><u>MGL suffix:</u> (dat) <b>.ny</b></dt>
<dt><a name="index-_002enz"></a><u>MGL suffix:</u> (dat) <b>.nz</b></dt>
<dt><a name="index-GetNx-3"></a><u>Method on <code>mglData</code>:</u> <code>long</code> <b>GetNx</b><i> ()</i></dt>
<dt><a name="index-GetNy-3"></a><u>Method on <code>mglData</code>:</u> <code>long</code> <b>GetNy</b><i> ()</i></dt>
<dt><a name="index-GetNz-3"></a><u>Method on <code>mglData</code>:</u> <code>long</code> <b>GetNz</b><i> ()</i></dt>
<dt><a name="index-GetNx-4"></a><u>Method on <code>mglDataC</code>:</u> <code>long</code> <b>GetNx</b><i> ()</i></dt>
<dt><a name="index-GetNy-4"></a><u>Method on <code>mglDataC</code>:</u> <code>long</code> <b>GetNy</b><i> ()</i></dt>
<dt><a name="index-GetNz-4"></a><u>Method on <code>mglDataC</code>:</u> <code>long</code> <b>GetNz</b><i> ()</i></dt>
<dt><a name="index-mgl_005fdata_005fget_005fnx-1"></a><u>C function:</u> <code>long</code> <b>mgl_data_get_nx</b><i> (<code>HCDT</code> dat)</i></dt>
<dt><a name="index-mgl_005fdata_005fget_005fny-1"></a><u>C function:</u> <code>long</code> <b>mgl_data_get_ny</b><i> (<code>HCDT</code> dat)</i></dt>
<dt><a name="index-mgl_005fdata_005fget_005fnz-1"></a><u>C function:</u> <code>long</code> <b>mgl_data_get_nz</b><i> (<code>HCDT</code> dat)</i></dt>
<dd><p>Gets the x-, y-, z-size of the data.
</p></dd></dl>
<a name="index-Maximal"></a>
<p><a name="g_t_002emax"></a>
</p><dl>
<dt><a name="index-_002emax"></a><u>MGL suffix:</u> (dat) <b>.max</b></dt>
<dt><a name="index-Maximal-1"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Maximal</b><i> () <code>const</code></i></dt>
<dt><a name="index-Maximal-2"></a><u>Method on <code>mglDataC</code>:</u> <code>mreal</code> <b>Maximal</b><i> () <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005fmax"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_max</b><i> (<code>HCDT</code> dat)</i></dt>
<dd><p>Gets maximal value of the data.
</p></dd></dl>
<a name="index-Minimal"></a>
<p><a name="g_t_002emin"></a>
</p><dl>
<dt><a name="index-_002emin"></a><u>MGL suffix:</u> (dat) <b>.min</b></dt>
<dt><a name="index-Minimal-1"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Minimal</b><i> () <code>const</code></i></dt>
<dt><a name="index-Minimal-2"></a><u>Method on <code>mglDataC</code>:</u> <code>mreal</code> <b>Minimal</b><i> () <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005fmin"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_min</b><i> (<code>HMDT</code> dat) <code>const</code></i></dt>
<dd><p>Gets minimal value of the data.
</p></dd></dl>
<dl>
<dt><a name="index-Minimal-3"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Minimal</b><i> (<code>int</code> &i, <code>int</code> &j, <code>int</code> &k) <code>const</code></i></dt>
<dt><a name="index-Minimal-4"></a><u>Method on <code>mglDataC</code>:</u> <code>mreal</code> <b>Minimal</b><i> (<code>int</code> &i, <code>int</code> &j, <code>int</code> &k) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005fmin_005fint"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_min_int</b><i> (<code>HCDT</code> dat, <code>int</code> *i, <code>int</code> *j, <code>int</code> *k)</i></dt>
<dd><p>Gets position of minimum to variables <var>i</var>, <var>j</var>, <var>k</var> and returns the minimal value.
</p></dd></dl>
<dl>
<dt><a name="index-Maximal-3"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Maximal</b><i> (<code>int</code> &i, <code>int</code> &j, <code>int</code> &k) <code>const</code></i></dt>
<dt><a name="index-Maximal-4"></a><u>Method on <code>mglDataC</code>:</u> <code>mreal</code> <b>Maximal</b><i> (<code>int</code> &i, <code>int</code> &j, <code>int</code> &k) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005fmax_005fint"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_max_int</b><i> (<code>HCDT</code> dat, <code>int</code> *i, <code>int</code> *j, <code>int</code> *k)</i></dt>
<dd><p>Gets position of maximum to variables <var>i</var>, <var>j</var>, <var>k</var> and returns the maximal value.
</p></dd></dl>
<dl>
<dt><a name="index-Minimal-5"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Minimal</b><i> (<code>mreal</code> &x, <code>mreal</code> &y, <code>mreal</code> &z) <code>const</code></i></dt>
<dt><a name="index-Minimal-6"></a><u>Method on <code>mglDataC</code>:</u> <code>mreal</code> <b>Minimal</b><i> (<code>mreal</code> &x, <code>mreal</code> &y, <code>mreal</code> &z) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005fmin_005freal"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_min_real</b><i> (<code>HCDT</code> dat, <code>mreal</code> *x, <code>mreal</code> *y, <code>mreal</code> *z)</i></dt>
<dd><p>Gets approximated (interpolated) position of minimum to variables <var>x</var>, <var>y</var>, <var>z</var> and returns the minimal value.
</p></dd></dl>
<p><a name="g_t_002emx"></a> <a name="g_t_002emy"></a> <a name="g_t_002emz"></a>
</p><dl>
<dt><a name="index-_002emx"></a><u>MGL suffix:</u> (dat) <b>.mx</b></dt>
<dt><a name="index-_002emy"></a><u>MGL suffix:</u> (dat) <b>.my</b></dt>
<dt><a name="index-_002emz"></a><u>MGL suffix:</u> (dat) <b>.mz</b></dt>
<dt><a name="index-Maximal-5"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Maximal</b><i> (<code>mreal</code> &x, <code>mreal</code> &y, <code>mreal</code> &z) <code>const</code></i></dt>
<dt><a name="index-Maximal-6"></a><u>Method on <code>mglDataC</code>:</u> <code>mreal</code> <b>Maximal</b><i> (<code>mreal</code> &x, <code>mreal</code> &y, <code>mreal</code> &z) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005fmax_005freal"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_max_real</b><i> (<code>HCDT</code> dat, <code>mreal</code> *x, <code>mreal</code> *y, <code>mreal</code> *z)</i></dt>
<dd><p>Gets approximated (interpolated) position of maximum to variables <var>x</var>, <var>y</var>, <var>z</var> and returns the maximal value.
</p></dd></dl>
<a name="index-Momentum-3"></a>
<p><a name="g_t_002eax"></a> <a name="g_t_002eay"></a> <a name="g_t_002eaz"></a> <a name="g_t_002eaa"></a> <a name="g_t_002esum"></a>
<a name="g_t_002ewx"></a> <a name="g_t_002ewy"></a> <a name="g_t_002ewz"></a> <a name="g_t_002ewa"></a>
<a name="g_t_002esx"></a> <a name="g_t_002esy"></a> <a name="g_t_002esz"></a> <a name="g_t_002esa"></a>
<a name="g_t_002ekx"></a> <a name="g_t_002eky"></a> <a name="g_t_002ekz"></a> <a name="g_t_002eka"></a>
</p><dl>
<dt><a name="index-_002esum"></a><u>MGL suffix:</u> (dat) <b>.sum</b></dt>
<dt><a name="index-_002eax"></a><u>MGL suffix:</u> (dat) <b>.ax</b></dt>
<dt><a name="index-_002eay"></a><u>MGL suffix:</u> (dat) <b>.ay</b></dt>
<dt><a name="index-_002eaz"></a><u>MGL suffix:</u> (dat) <b>.az</b></dt>
<dt><a name="index-_002eaa"></a><u>MGL suffix:</u> (dat) <b>.aa</b></dt>
<dt><a name="index-_002ewx"></a><u>MGL suffix:</u> (dat) <b>.wx</b></dt>
<dt><a name="index-_002ewy"></a><u>MGL suffix:</u> (dat) <b>.wy</b></dt>
<dt><a name="index-_002ewz"></a><u>MGL suffix:</u> (dat) <b>.wz</b></dt>
<dt><a name="index-_002ewa"></a><u>MGL suffix:</u> (dat) <b>.wa</b></dt>
<dt><a name="index-_002esx"></a><u>MGL suffix:</u> (dat) <b>.sx</b></dt>
<dt><a name="index-_002esy"></a><u>MGL suffix:</u> (dat) <b>.sy</b></dt>
<dt><a name="index-_002esz"></a><u>MGL suffix:</u> (dat) <b>.sz</b></dt>
<dt><a name="index-_002esa"></a><u>MGL suffix:</u> (dat) <b>.sa</b></dt>
<dt><a name="index-_002ekx"></a><u>MGL suffix:</u> (dat) <b>.kx</b></dt>
<dt><a name="index-_002eky"></a><u>MGL suffix:</u> (dat) <b>.ky</b></dt>
<dt><a name="index-_002ekz"></a><u>MGL suffix:</u> (dat) <b>.kz</b></dt>
<dt><a name="index-_002eka"></a><u>MGL suffix:</u> (dat) <b>.ka</b></dt>
<dt><a name="index-Momentum-4"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Momentum</b><i> (<code>char</code> dir, <code>mreal</code> &a, <code>mreal</code> &w) <code>const</code></i></dt>
<dt><a name="index-Momentum-5"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Momentum</b><i> (<code>char</code> dir, <code>mreal</code> &m, <code>mreal</code> &w, <code>mreal</code> &s, <code>mreal</code> &k) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005fmomentum_005fval"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_momentum_val</b><i> (<code>HCDT</code> dat, <code>char</code> dir, <code>mreal</code> *a, <code>mreal</code> *w, <code>mreal</code> *s, <code>mreal</code> *k)</i></dt>
<dd><p>Gets zero-momentum (energy, <em>I=\sum dat_i</em>) and write first momentum (median, <em>a = \sum \xi_i dat_i/I</em>), second momentum (width, <em>w^2 = \sum (\xi_i-a)^2 dat_i/I</em>), third momentum (skewness, <em>s = \sum (\xi_i-a)^3 dat_i/ I w^3</em>) and fourth momentum (kurtosis, <em>k = \sum (\xi_i-a)^4 dat_i / 3 I w^4</em>) to variables. Here <em>\xi</em> is corresponding coordinate if <var>dir</var> is ‘<samp>'x'</samp>’, ‘<samp>'y'</samp>’ or ‘<samp>'z'</samp>’. Otherwise median is <em>a = \sum dat_i/N</em>, width is <em>w^2 = \sum (dat_i-a)^2/N</em> and so on.
</p></dd></dl>
<p><a name="g_t_002efst"></a>
</p><dl>
<dt><a name="index-_002efst"></a><u>MGL suffix:</u> (dat) <b>.fst</b></dt>
<dd><a name="index-Find"></a>
</dd><dt><a name="index-Find-1"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Find</b><i> (<code>const char *</code>cond, <code>int</code> &i, <code>int</code> &j, <code>int</code> &k) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005ffirst"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_first</b><i> (<code>HCDT</code> dat, <code>const char *</code>cond, <code>int</code> *i, <code>int</code> *j, <code>int</code> *k)</i></dt>
<dd><p>Find position (after specified in <var>i</var>, <var>j</var>, <var>k</var>) of first nonzero value of formula <var>cond</var>. Function return the data value at found position.
</p></dd></dl>
<p><a name="g_t_002elst"></a>
</p><dl>
<dt><a name="index-_002elst"></a><u>MGL suffix:</u> (dat) <b>.lst</b></dt>
<dd><a name="index-Last"></a>
</dd><dt><a name="index-Last-1"></a><u>Method on <code>mglData</code>:</u> <code>mreal</code> <b>Last</b><i> (<code>const char *</code>cond, <code>int</code> &i, <code>int</code> &j, <code>int</code> &k) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005flast"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_last</b><i> (<code>HCDT</code> dat, <code>const char *</code>cond, <code>int</code> *i, <code>int</code> *j, <code>int</code> *k)</i></dt>
<dd><p>Find position (before specified in <var>i</var>, <var>j</var>, <var>k</var>) of last nonzero value of formula <var>cond</var>. Function return the data value at found position.
</p></dd></dl>
<dl>
<dt><a name="index-Find-2"></a><u>Method on <code>mglData</code>:</u> <code>int</code> <b>Find</b><i> (<code>const char *</code>cond, <code>char</code> dir, <code>int</code> i=<code>0</code>, <code>int</code> j=<code>0</code>, <code>int</code> k=<code>0</code>) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005ffind"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_find</b><i> (<code>HCDT</code> dat, <code>const char *</code>cond, <code>int</code> i, <code>int</code> j, <code>int</code> k)</i></dt>
<dd><p>Return position of first in direction <var>dir</var> nonzero value of formula <var>cond</var>. The search is started from point {i,j,k}.
</p></dd></dl>
<a name="index-FindAny"></a>
<dl>
<dt><a name="index-FindAny-1"></a><u>Method on <code>mglData</code>:</u> <code>bool</code> <b>FindAny</b><i> (<code>const char *</code>cond) <code>const</code></i></dt>
<dt><a name="index-mgl_005fdata_005ffind_005fany"></a><u>C function:</u> <code>mreal</code> <b>mgl_data_find_any</b><i> (<code>HCDT</code> dat, <code>const char *</code>cond)</i></dt>
<dd><p>Determines if any nonzero value of formula in the data array.
</p></dd></dl>
<p><a name="g_t_002ea"></a>
</p><dl>
<dt><a name="index-_002ea"></a><u>MGL suffix:</u> (dat) <b>.a</b></dt>
<dd><p>Give first (for <code>.a</code>, i.e. <code>dat->a[0]</code>).
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