λ-wiki

λ-wiki :: math2

www!k! v.20120610

λ-wiki :: éditeur

{center {a {@ alias:math;}maths} {a {@ alias:math2;}functions} [[booleans]] [[iterations]] [[recursion]] }

_h1 functions

_p Defining functions and variables and using them (@ 12/06/2012). 
_ul The parser's code can be analyzed here : [[parser|meca/parser.js]],
_ul functions hard-coded in the parser's code and dynamically defined in the wiki page can be called like HTML tags (see the list at the end of this page),
_ul in the future, it will be possible to define dynamic functions in a different wiki page, as a "global library" to be included by an "include" call,
_ul todo : recursion, macros vs functions, namespace, ...
_ul ...

{div {@ white-space:pre-wrap; border:1px solid grey; padding:5px; background:#fed; color:012;}
_h6 defining and using variables in the wiki page

? °°{if true then {b boolean is true} else {i boolean is false} }°° 
 > {if true then {b boolean is true} else {i boolean is false} }

? {set x 3}
? °°{cond
        {{equal {get x} 2 } q{sqrt 2}q} 
        {{equal {get x} 3 } q{sqrt 3}q} 
        {{equal {get x} 4 } q{sqrt 4}q} 
        {{equal {get x} 5 } q{sqrt 5}q} 
 }°°
 > {cond
        {{equal {get x} 2 } x=2 - > q{sqrt 2}q} 
        {{equal {get x} 3 } x=3 - > q{sqrt 3}q} 
        {{equal {get x} 4 } x=4 - > q{sqrt 4}q} 
        {{equal {get x} 5 } x=5 - > q{sqrt 5}q} 
 }

_h6 getting a value :
? {span {set A 3} et {set B 4}} 
 > A+B = {add {get A} {get B}}

_h6 defining functions in the wiki page
? °°{define diag3 (x y z) 
     {sqrt {add {mult x x} 
                {mult y y} 
                {mult z z}}}}°°
 > {define diag3 (x y z) 
    °°{sqrt {add {mult x x} 
                {mult y y} 
                {mult z z}}}°°
}
? °°{define diag2 (x y) 
     {sqrt {add {mult x x} 
                {mult y y}}}}°°
 > {define diag2 (x y) 
        °°{sqrt {add 
                   {mult x x} 
                   {mult y y}}}°°
}

_h6 using functions defined in the page
? °°{diag3 1 1 1}°° 
 > {diag3 1 1 1}
? °°{diag2 1 1}°° 
 > {diag2 1 1}

_h6 using variables and functions
? °°{set N 3}°° 
 > {set N 3}  
? °°{set M 4}°° 
 > {set M 4}  
? °°{diag2 {get N} {get M}}°°  
 > {diag2 {get N} {get M}} 
? °°{equal 2 3}°°
 > {equal 2 3}
?

_h6 listing functions and vars
? °°{lib core}°° 
 > {lib core} 
? °°{lib dyn}°° 
 > {lib dyn} 
? °°{lib var}°° 
 > {lib var} 
? °°{lib foo}°° 
 > {lib foo}

}