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List:       lon-capa-cvs
Subject:    [LON-CAPA-cvs] cvs: loncom /html/adm/help/tex Script_Functions.tex
From:       raeburn <raeburn () source ! lon-capa ! org>
Date:       2020-07-29 11:31:02
Message-ID: cvsraeburn1596022262 () cvsserver
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raeburn		Wed Jul 29 11:31:02 2020 EDT

  Modified files:              
    /loncom/html/adm/help/tex	Script_Functions.tex 
  Log:
  - Documentation for syntax for complex numbers (LONCAPA::LCMathComplex). 
  
  
Index: loncom/html/adm/help/tex/Script_Functions.tex
diff -u loncom/html/adm/help/tex/Script_Functions.tex:1.15 \
                loncom/html/adm/help/tex/Script_Functions.tex:1.16
--- loncom/html/adm/help/tex/Script_Functions.tex:1.15	Sun Sep 15 22:42:05 2013
+++ loncom/html/adm/help/tex/Script_Functions.tex	Wed Jul 29 11:31:02 2020
@@ -77,5 +77,42 @@
 
 \end{verbatim}
 
- Please see Math::Cephes for more information 
+See https://metacpan.org/pod/Math::Cephes for more information 
+
+Support for complex numbers in the Safe space scripting environment is available via \
the   +LONCAPA::LCMathComplex package, which is the standard Math::Complex module \
available from CPAN, +modified to work in Safe space.
+
+These functions from LONCAPA::LCMathComplex are available:
+
+\begin{verbatim}
+Re($z)
+Im($z)
+arg($z)
+abs($z)
+\end{verbatim}
+
+where \$z is a complex number created using the Cartesian form,
+where \$a and \$b are numbers in one of the following ways:
+
+\begin{verbatim}
+$z = LONCAPA::LCMathComplex->make($a, $b);
+$z = cplx($a, $b);
+$z = $a + $b*i;
+\end{verbatim}
+
+or created using the polar form, where \$m and \$n are numbers, in which the first 
+argument is the modulus, and the second is the angle in radians:
+
+\begin{verbatim}
+$z = LONCAPA::LCMathComplex->emake($m, pi/$n);
+$z = cplxe($m, pi/$n);
+\end{verbatim}
+
+Where there is no overlap with function names used for Math::Cephes functions, 
+then you can just use the LCMathComplex functions directly, e.g.. \&cplx(), \&Re(), \
\&Im(),  +but where there is overlap, as is the case for tanh(), to ensure the \
function from LCMathComplex is called,  +include the full namespace identifier, e.g., \
&LONCAPA::LCMathComplex::tanh(). +
+See: https://metacpan.org/pod/Math::Complex for more information.
 


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