$LGamma: Difference between revisions

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<p class="warning">Most Sirius $functions have been deprecated in favor of Object Oriented
<p class="warning">Most Sirius $functions have been deprecated in favor of Object Oriented
methods. There is currently no direct OO equivalent for the $LGamma function.</p>
methods. There is currently no direct OO equivalent for the $LGamma function.</p>
[[Category: Mathematical $functions]]
<p>
</p>


The <var>$LGamma</var> function returns the value:
The <var>$LGamma</var> function returns the value:
log<sub>e</sub> <sub>0</sub>&int;<sup>&infin;</sup> u<sup>x-1</sup> e<sup>-u</sup> du
<p class="code">log<sub>e</sub> <sub>0</sub>&int;<sup>&infin;</sup> u<sup>x-1</sup> e<sup>-u</sup> du </p>


==Syntax==
==Syntax==
<p class="syntax"><span class="term">%num</span><span class="literal"> = $LGamma(</span><span class="term">x</span><span class="literal">)</span>  </p>
<p class="syntax"><span class="term">%num</span><span class="literal"> = $LGamma(</span><span class="term">x</span><span class="literal">)</span>  </p>


If ''x'' is not in the range 0 < ''x'' < 4.2913 * 10&'sup(73),
==Usage notes==
<ul>
<li>If ''x'' is not in the range 0 < ''x'' < 4.2913 * 10&'sup(73),
an error message is printed and a 0 is returned.
an error message is printed and a 0 is returned.


{{Template:Math $functions note}}
<li>{{Template:Math $functions note}}
</ul>
 
[[Category: Mathematical $functions]]

Revision as of 20:46, 10 April 2013

LGamma function

Most Sirius $functions have been deprecated in favor of Object Oriented methods. There is currently no direct OO equivalent for the $LGamma function.

The $LGamma function returns the value:

loge 0 ux-1 e-u du

Syntax

%num = $LGamma(x)

Usage notes

  • If x is not in the range 0 < x < 4.2913 * 10&'sup(73), an error message is printed and a 0 is returned.
  • See the SIRFUNC EXEC parameter for an explanation of when this high-performance, high-precision version of the IBM mathematical function from the Sirius Mods is used, as opposed to the version of the $function in the Model 204 FUND or FUNDLE CSECT.