39 lines
		
	
	
		
			1.4 KiB
		
	
	
	
		
			Factor
		
	
	
			
		
		
	
	
			39 lines
		
	
	
		
			1.4 KiB
		
	
	
	
		
			Factor
		
	
	
| ! Copyright (c) 2012 Anonymous
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| ! See http://factorcode.org/license.txt for BSD license.
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| USING: accessors io kernel math math.functions math.parser
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| sequences ;
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| IN: rosetta-code.standard-deviation
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| 
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| ! http://rosettacode.org/wiki/Standard_deviation
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| 
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| ! Write a stateful function, class, generator or coroutine that
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| ! takes a series of floating point numbers, one at a time, and
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| ! returns the running standard deviation of the series. The task
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| ! implementation should use the most natural programming style of
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| ! those listed for the function in the implementation language;
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| ! the task must state which is being used. Do not apply Bessel's
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| ! correction; the returned standard deviation should always be
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| ! computed as if the sample seen so far is the entire population.
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| 
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| ! Use this to compute the standard deviation of this
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| ! demonstration set, {2,4,4,4,5,5,7,9}, which is 2.
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| 
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| TUPLE: standard-deviator sum sum^2 n ;
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| 
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| : <standard-deviator> ( -- standard-deviator )
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|     0.0 0.0 0 standard-deviator boa ;
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| 
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| : current-std ( standard-deviator -- std )
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|     [ [ sum^2>> ] [ n>> ] bi / ]
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|     [ [ sum>> ] [ n>> ] bi / sq ] bi - sqrt ;
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| 
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| : add-value ( value standard-deviator -- )
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|     [ nip [ 1 + ] change-n drop ]
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|     [ [ + ] change-sum drop ]
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|     [ [ [ sq ] dip + ] change-sum^2 drop ] 2tri ;
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| 
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| : std-main ( -- )
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|     { 2 4 4 4 5 5 7 9 }
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|     <standard-deviator> [ [ add-value ] curry each ] keep
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|     current-std number>string print ;
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