Derived function: Difference between revisions
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Consider for example applying a [[Windowed Reduction]] to an array: | Consider for example applying a [[Windowed Reduction]] to an array: | ||
< | <syntaxhighlight lang=apl> | ||
3 ⌈/ 2 9 0 ¯1 0 2 5 | 3 ⌈/ 2 9 0 ¯1 0 2 5 | ||
9 9 0 2 5 | 9 9 0 2 5 | ||
</ | </syntaxhighlight> | ||
In this statement the [[Reduce]] operator (< | In this statement the [[Reduce]] operator (<syntaxhighlight lang=apl inline>/</syntaxhighlight>) is applied to the [[Minimum]] function (<syntaxhighlight lang=apl inline>⌈</syntaxhighlight>) resulting in the derived function <syntaxhighlight lang=apl inline>⌈/</syntaxhighlight>. In most modern APLs this function can be manipulated like any other function, for example to [[assign]] it to a name: | ||
< | <syntaxhighlight lang=apl> | ||
f ← ⌈/ | f ← ⌈/ | ||
3 f 2 9 0 ¯1 0 2 5 | 3 f 2 9 0 ¯1 0 2 5 | ||
9 9 0 2 5 | 9 9 0 2 5 | ||
</ | </syntaxhighlight> | ||
Here the value of < | Here the value of <syntaxhighlight lang=apl inline>f</syntaxhighlight> is a derived function. Many APLs display a derived function by placing its operands next to the operator, as it is written: | ||
< | <syntaxhighlight lang=apl> | ||
f | f | ||
⌈/ | ⌈/ | ||
</ | </syntaxhighlight> | ||
{{Works in|[[Dyalog APL]]}} | {{Works in|[[Dyalog APL]]}} | ||
In APL a [[user-defined operator]] such as a [[tradop]] or [[dop]] creates a derived function from its arguments without executing any of the user's code. In [[J]], the user's code is evaluated and must return a value, which could but doesn't have to be a derived function. | In APL a [[user-defined operator]] such as a [[tradop]] or [[dop]] creates a derived function from its arguments without executing any of the user's code. In [[J]], the user's code is evaluated and must return a value, which could but doesn't have to be a derived function. | ||
{{APL syntax}} | {{APL syntax}}[[Category:Kinds of functions]][[Category:Defining functions]] | ||
Latest revision as of 22:18, 10 September 2022
A derived function is the result of applying an operator to its operands. Since it is a function, it can then be applied to argument arrays, resulting in other arrays.
Consider for example applying a Windowed Reduction to an array:
3 ⌈/ 2 9 0 ¯1 0 2 5 9 9 0 2 5
In this statement the Reduce operator (/) is applied to the Minimum function (⌈) resulting in the derived function ⌈/. In most modern APLs this function can be manipulated like any other function, for example to assign it to a name:
f ← ⌈/
3 f 2 9 0 ¯1 0 2 5
9 9 0 2 5
Here the value of f is a derived function. Many APLs display a derived function by placing its operands next to the operator, as it is written:
f ⌈/
In APL a user-defined operator such as a tradop or dop creates a derived function from its arguments without executing any of the user's code. In J, the user's code is evaluated and must return a value, which could but doesn't have to be a derived function.