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α-wwwiki :: history/function/20130917-225117.txt

editor : alpha [82.248.49.238] 2013/09/17 22:51:17
_h2 functions with :{br}{i define, defun, lambda, alpha}
_p Defining a function in different languages, for instance the {b cubic function}.

_h3 C
{pre °°
1) float cubic = function (float x) { return x*x*x; };
2) cubic(3) -> 27
°°}

_h3 JavaScript
{pre °°
1) function cubic (x) { return x*x*x; }
2) var cubic = function (x) { return x*x*x; }; // functions are datas
3) cubic(3) -> 27
4) using anonymous : 
   (function(x) { return x*x*x; })(3); -> 27
°°}

_h3 Lisp
{pre °°
1) (define cubic (lambda (x) (*  x x x)))  // the basic way
2) (define cubic (x) (*  x x x))           // sugar way
3) (cubic 3) -> 27
4) using lambda/anonymous : 
   ((lambda (x) (*  x x x)) 3) -> 27
°°}

_h3 λ-talk

{pre
1) using javascript expressions with the {u define operator}
  11) defining :
°°{define jscubic (x) return x*x*x; }°° // a Javascript expression
> {define jscubic (x) return x*x*x; }
  12) calling :
°°{jscubic 12}°°
> {jscubic 12}

2) using λ-talk expressions with the {u defun operator} (why not ?)
  21) defining :
°°{defun lspcubic (x) {* x x x} }°°    // a λ-talk expression
> {defun lspcubic (x) {* x x x} }
  22) calling :
°°{lspcubic 12}°°
> {lspcubic 12}

3) using and calling the {u lambda operator} 
°°{{lambda (x) return x*x*x; } 12}°°   // a Javascript expression
> {{lambda (x) return x*x*x; } 12}

4) using and calling {u alpha operator} (why not ?)
°°{{alpha (x) {* x x x} } 12}°°        // a λ-talk expression
> {{alpha (x) {* x x x} } 12}

}

_p {b Note} : The {b define, defun, lambda & alpha} operators are catched in a pre-process before the loop evaluation. So, contrary to the previous versions of {b λ-talk}, it is no more necessary to embed the bodies between couples of "{sup o}{sup o}" to delay the evaluation of the expressions containing parenthesis {b °°{}°°}.