Can one easily get the list of all defined functions in Sage to something like a directory including at least following information:
[
- function name
- allowed input argument numbers (possibly several)
- allowed input argument types for each allowed input argument
- function result values numbers (possibly several depending on input arguments)
- function result values types for each result value
,
- next similar etc.
]
so that for example one could easily construct an expression-set having all allowed functions in function argument places up to a given level?
For example:
Expression-set for 3 levels is something like:
[
sin(cos(x))
sin(sin(x))
sin(tan(x))
sin(x^a)
(x^a)^b
myfun(sin(k),cos(n))
etc.
];
(All combinations. Here only 3 levels given as an example. Here function myfun may have several return variables each can be a variable, vector, matrix, function name etc.)
