FunctionaI

functional (with a capital I) is an esolang made by kiken that uses nameless functions. The capital i may look like a lowercase L in sans-serif fonts.
==Syntax and overview==
functionaI has an unbounded tape and uses nameless functions which are identified by their argument count. Other characters other than or are ignored. 
===Basics===
A function without arguments returns :
() # Returns '0'
This returns 1:
(()()()()()()())
because 0 ^ 0 ^ 0 ^ 0 ^ 0 ^ 0 ^ 0 is 1.
===Functions===
Argument count	Function
0 	Returns
1 	Sets the cell pointer to the first argument.
2 	For no other reason other than to be able to make a quine, print .
3 	While the first argument ≠ second argument, execute the third.
4 	Move the pointer left by the first argument, then second, third and fourth args.
5 	Move the pointer right by first arg, second, third, fourth and fifth.
6 	Returns the cell at the pointer. Ignores all arguments (for some reason.)
7 	Returns first arg ^ second ^ third ^ fourth ^ fifth ^ sixth ^ seventh.
8 	Get user input as a char. Ignores all args (again).
9 	Print all args as a char.
10 	Returns first arg + second + third + fourth + fifth + sixth + seventh + eighth + ninth + tenth
11 	Returns first arg - second - third - . . . - tenth - eleventh
===Grouping===
Code can be inserted as a single argument by using and , like this:
[ code ]
==Examples==
===Cat program===
(
 ()(()()()()()()())
 [(
 (()()()()()()()())
 ()()()()()()()()
 ])
)
===Quine===
(()())
===Hello, world! (actually just prints 'H')===
(
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)
===Proper hello, world!===
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===99 bottles of beer===
Too big to display here. Execute this Python 3 script instead:
print("""+>+++++++[>>>+++
 +++++<<<<+++++
 +++>-]+++++++++>>>
 +>>++++++++++[>+
 +++++++++<-]>[
 >>+>+>+>+>+>+>
 +>>+>+>>+>+>+>
 +>>+>+>>+>+>+>
 >+>+>+>+>>>>>+
 >+>+>+>>+>+>+>
 >+>+>+>+>>+>+>
 +>>+>+>+>+>>+>+>
 >+>+>+>+>+>+>>>>
 +>+>>+>+>+>+<<<<
 <<<<<<<<<<<<<<<<
 <<<<<<<<<<<<<<<<<<
 <<<<<<<<<<<<<<<<<<
 <<<<<<<<<<<<<<<<<<
 -]<++++[>++++++++<
 -]>[>+>>>>>>>>+>>>
 +>>>>>+>>>+>>>>+>>
 >>>+>+>>+>>>>>+>>>>+
 >>>>>+>>>>+>>>>>+>>>
 +>>>>>>>+>+>+>>>+>>>
 >>+<<<<<<<<<<<<<<<<<
 <<<<<<<<<<<<<<<<<<<<
 <<<<<<<<<<<<<<<<<<<<<<
 <<<<<<<<<<<<<<<<-]+++++[
 >>>++>+++>+++>++>>+++>>++>
 >>>>>+++>>++>++>>+++>+>>>+++
 +>->++>++>++>+++>++>>--->->+>>>+
 +>++>>>>++>++++>++>>->++>>>++>->++
 +>+++>>+>+++>>>+++>++>+++>++>>>++>>++>
 ++>>++>++>+++<<<<<<<<<<<<<<<<<<<<<<<<<<<
 <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
 <<<<-]>>-->+>+>+>-->+>>>+>++>>-->+>+>->>+>>>
 +>->+>>->++>-->-->++>->>>->++>++>+>>+>>+>>>+
 >->>>++>>>>++>++>>>>>+>>++>->+>++>>>>+++>>>+>>
 ->+>->+<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<[>>>>++
++++++++[->[-]+>[-]<<[<<<<<.>>>>.>>>>.>.>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>>
>.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<.>>>>.>
>>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>>>>>>>>>>>>>>
.>.>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>.>.<<<<<<<<<<<<<<<<<<<<<<
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
<<<<.>>>>-.>>>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.
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>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>>>.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
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>>>>>>>>.>.>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.<<<<<<<<<<<<<<
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<<<<<<<<<<<<-.>>>>+++++++++.>>>>.>.>.>.>.>.>.>.>
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>.>.>.>.>.>>>.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
<<<<<.>>>>.>>>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>>
>>>>>>>>>>>>.>.>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.<<<<<<<<<<
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
<<<<<<<<<<<<+++++++++.>>>>.>.>.>.>.>.>.>.>.>.>.>
.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>>.>..<<<<<<<<<
<<<<<<<<<<<<<<<<<<<<<<<<<<<->]<<+>>>>>->]<<]<<<<
-]>>>>++++++++[->[-]+>[-]<<[<.>>>>.>.>.>.>.>.>.>
.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>>>.<
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<.>>>>.>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>>>>>>>>>>>>>>.>.>>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>.>.>.>.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<-.>>>>.>.>.>
.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>
.>>.>..<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<-]>[<<.>>
>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>
.>.>.>.>.>.>>>.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
<<.>>>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>>>>>>>>>>
>>>>.>.>>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.<<<<<<<<<<<<<<<<<<
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
<<<<-.>>>>.>.>.>.>.>.>.>>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>.>.>.>.>.>>.>..<<<<<<<<<<<<<<<<<<<<<<<<<<
<<<<<<->]<<]<.>>>>.>.>.>.>.>.>.>>.>.>.>.>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>.>.>>>.<<<<<<<<<<<<<<<<<<
<<<<<<<<<<<<<<<<<.>>>>.>.>.>.>.>.>.>>.>.>.>.>.>.
>.>.>>>>>>>>>>>>>>.>.>>.>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.
>.>.>.>.>.<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<.>.>.>.>.>.>.
 >.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>.>>.>""".replace("+","(((()()()()()())(()()()()()()())()()()()()()))").replace("-","(((()()()()()())(()()()()()()())()()()()()()()))").replace("<","((()()()()()()())()()())").replace(">","((()()()()()()())()()()())").replace("[","((()()()()()())()[").replace("]","])").replace(".","((()()()()()())()()()()()()()())").strip(" ").strip("\n").strip("\r").strip("\t"))
===Truth machine===
((()()()()()()())()()()())((()()()()()()())()()()())((()()()()()()())()()()())((()()()()()()))((()()()()()())()()()()()()()())((()()()()()())()[((()()()()()())()[(((()()()()()())(()()()()()()())()()()()()()()))((()()()()()()())()()()())(((()()()()()())(()()()()()()())()()()()()()))((()()()()()()())()()())((()()()()()()())()()())(((()()()()()())(()()()()()()())()()()()()()))((()()()()()()())()()()())])((()()()()()()())()()()())(((()()()()()())(()()()()()()())()()()()()()()))])((()()()()()()())()()())((()()()()()()())()()())((()()()()()()())()()())((()()()()()())()[((()()()()()()())()()())((()()()()()()())()()())])((()()()()()()())()()()())((()()()()()())()[((()()()()()())()()()()()()()())])
==Computational class==
kiken believes that functionaI is turing-complete. The proof can be shown from a direct translation to brainfuck:
functionaI	brainfuck
 	
 	
 	
 	
 	
 	
I/O translation:
functionaI	brainfuck
 	
 	
==Implementations==
Currently unimplemented.
Category:Languages Category:Turing complete Category:Turing tarpits Category:Unimplemented Category:Functional paradigm Category:2023 Category:Cell-based