45 lines
1.0 KiB
Factor
45 lines
1.0 KiB
Factor
IN: math-contrib
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USING: kernel math sequences ;
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: mean ( seq -- n )
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#! arithmetic mean, sum divided by length
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[ sum ] keep length / ;
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: geometric-mean ( seq -- n )
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#! geometric mean, nth root of product
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[ product ] keep length swap nth-root ;
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: harmonic-mean ( seq -- n )
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#! harmonic mean, reciprocal of sum of reciprocals.
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[ recip ] map sum recip ;
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: median ( seq -- n )
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#! middle number if odd, avg of two middle numbers if even
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number-sort dup length dup even? [
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1+ 2 /i dup 1- rot [ nth ] keep swapd nth + 2 /
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] [
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2 /i swap nth
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] if ;
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: minmax ( seq -- min max )
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#! find the min and max of a seq in one pass
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inf -inf rot [ dup pick max -rot nip pick min -rot nip ] each ;
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: range ( seq -- n )
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#! max - min
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minmax swap - ;
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: var ( seq -- )
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#! variance, normalize by N-1
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dup length 1- dup 0 = [
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0 2nip
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] [
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swap [ mean ] keep [ over - sq ] map sum nip swap /
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] if ;
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: std
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#! standard deviation, sqrt of variance
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var sqrt ;
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