\label{Script_Functions}
This is a list of functions that have been written that are available in the
Safe space scripting environment inside a problem:
\begin{itemize}
\item sin(x), cos(x), tan(x)
\item asin(x), acos(x), atan(x), atan2(y,x)
\item log(x), log10(x)
\item exp(), pow(x,y), sqrt(x)
\item abs(x), sgn(x)
\item erf(x), erfc(x)
\item ceil(x), floor(x)
\item min(...), max(...)
\item factorial(n)
\item N\%M (modulo function)
\item sinh(x), cosh(x), tanh(x)
\item asinh(x), acosh(x), atanh(x)
\item roundto(x,n)
\item cas(s,e,l)
\item web({}``a'',''b'',''c'') or web(a,b,c)
\item html({}``a'') or html(a)
\item j0(x), j1(x), jn(n,x), jv(y,x)
\item y0(x), y1(x), yn(n,x), yv(y,x)
\item random
\item choose
\item tex({}``a'',''b'') or tex(a,b)
\item var\_in\_tex(a)
\item to\_string(x), to\_string(x,y)
\item class(), sec(), classid()
\item name(), firstname(), middlename(), lastname(), student\_number()
\item check\_status(partid)
\item open\_date(partid), due\_date(partid), answer\_date(partid)
\item open\_date\_epoch(partid), due\_date\_epoch(partid), answer\_date\_epoch(partid)
\item submission(partid,responseid,version)
\item currentpart()
\item sub\_string()
\item array\_moments(array)
\item format(x,y),prettyprint(x,y,target),dollarformat(x,target)
\item languages
\item map(...)
\item caparesponse\_check
\item caparesponse\_check\_list
\item parameter\_setting(name,partid)
\item EXT()
\item stored\_data(name,partid)
\item wrong\_bubbles(correct,lower,upper,step,@given)
\end{itemize}
We also support these functions from Math::Cephes
\begin{verbatim}
bdtr: Binomial distribution
bdtrc: Complemented binomial distribution
bdtri: Inverse binomial distribution
btdtr: Beta distribution
chdtr: Chi-square distribution
chdtrc: Complemented Chi-square distribution
chdtri: Inverse of complemented Chi-square distribution
fdtr: F distribution
fdtrc: Complemented F distribution
fdtri: Inverse of complemented F distribution
gdtr: Gamma distribution function
gdtrc: Complemented gamma distribution function
nbdtr: Negative binomial distribution
nbdtrc: Complemented negative binomial distribution
nbdtri: Functional inverse of negative binomial distribution
ndtr: Normal distribution function
ndtri: Inverse of Normal distribution function
pdtr: Poisson distribution
pdtrc: Complemented poisson distribution
pdtri: Inverse Poisson distribution
stdtr: Student's t distribution
stdtri: Functional inverse of Student's t distribution
\end{verbatim}
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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