1: \label{Script_Functions}
2:
3:
4: This is a list of functions that have been written that are available in the
5: Safe space scripting environment inside a problem:
6:
7: \begin{itemize}
8: \item sin(x), cos(x), tan(x)
9: \item asin(x), acos(x), atan(x), atan2(y,x)
10: \item log(x), log10(x)
11: \item exp(), pow(x,y), sqrt(x)
12: \item abs(x), sgn(x)
13: \item erf(x), erfc(x)
14: \item ceil(x), floor(x)
15: \item min(...), max(...)
16: \item factorial(n)
17: \item N\%M (modulo function)
18: \item sinh(x), cosh(x), tanh(x)
19: \item asinh(x), acosh(x), atanh(x)
20: \item roundto(x,n)
21: \item cas(s,e,l)
22: \item web({}``a'',''b'',''c'') or web(a,b,c)
23: \item html({}``a'') or html(a)
24: \item j0(x), j1(x), jn(n,x), jv(y,x)
25: \item y0(x), y1(x), yn(n,x), yv(y,x)
26: \item random
27: \item choose
28: \item tex({}``a'',''b'') or tex(a,b)
29: \item var\_in\_tex(a)
30: \item to\_string(x), to\_string(x,y)
31: \item class(), sec(), classid()
32: \item name(), firstname(), middlename(), lastname(), student\_number()
33: \item check\_status(partid)
34: \item open\_date(partid), due\_date(partid), answer\_date(partid)
35: \item open\_date\_epoch(partid), due\_date\_epoch(partid), answer\_date\_epoch(partid)
36: \item submission(partid,responseid,version)
37: \item currentpart()
38: \item sub\_string()
39: \item array\_moments(array)
40: \item format(x,y),prettyprint(x,y,target),dollarformat(x,target)
41: \item languages
42: \item map(...)
43: \item caparesponse\_check
44: \item caparesponse\_check\_list
45: \item parameter\_setting(name,partid)
46: \item EXT()
47: \item stored\_data(name,partid)
48: \item wrong\_bubbles(correct,lower,upper,step,@given)
49: \end{itemize}
50:
51:
52: We also support these functions from Math::Cephes
53: \begin{verbatim}
54:
55: bdtr: Binomial distribution
56: bdtrc: Complemented binomial distribution
57: bdtri: Inverse binomial distribution
58: btdtr: Beta distribution
59: chdtr: Chi-square distribution
60: chdtrc: Complemented Chi-square distribution
61: chdtri: Inverse of complemented Chi-square distribution
62: fdtr: F distribution
63: fdtrc: Complemented F distribution
64: fdtri: Inverse of complemented F distribution
65: gdtr: Gamma distribution function
66: gdtrc: Complemented gamma distribution function
67: nbdtr: Negative binomial distribution
68: nbdtrc: Complemented negative binomial distribution
69: nbdtri: Functional inverse of negative binomial distribution
70: ndtr: Normal distribution function
71: ndtri: Inverse of Normal distribution function
72: pdtr: Poisson distribution
73: pdtrc: Complemented poisson distribution
74: pdtri: Inverse Poisson distribution
75: stdtr: Student's t distribution
76: stdtri: Functional inverse of Student's t distribution
77:
78: \end{verbatim}
79:
80: See https://metacpan.org/pod/Math::Cephes for more information
81:
82: Support for complex numbers in the Safe space scripting environment is available via the
83: LONCAPA::LCMathComplex package, which is the standard Math::Complex module available from CPAN,
84: modified to work in Safe space.
85:
86: These functions from LONCAPA::LCMathComplex are available:
87:
88: \begin{verbatim}
89: Re($z)
90: Im($z)
91: arg($z)
92: abs($z)
93: \end{verbatim}
94:
95: where \$z is a complex number created using the Cartesian form,
96: where \$a and \$b are numbers in one of the following ways:
97:
98: \begin{verbatim}
99: $z = LONCAPA::LCMathComplex->make($a, $b);
100: $z = cplx($a, $b);
101: $z = $a + $b*i;
102: \end{verbatim}
103:
104: or created using the polar form, where \$m and \$n are numbers, in which the first
105: argument is the modulus, and the second is the angle in radians:
106:
107: \begin{verbatim}
108: $z = LONCAPA::LCMathComplex->emake($m, pi/$n);
109: $z = cplxe($m, pi/$n);
110: \end{verbatim}
111:
112: Where there is no overlap with function names used for Math::Cephes functions,
113: then you can just use the LCMathComplex functions directly, e.g.. \&cplx(), \&Re(), \&Im(),
114: but where there is overlap, as is the case for tanh(), to ensure the function from LCMathComplex is called,
115: include the full namespace identifier, e.g., LONCAPA::LCMathComplex::tanh().
116:
117: See: https://metacpan.org/pod/Math::Complex for more information.
118:
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