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biased_rand_function = (n) ->
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# return a function that returns 0/1 with
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# 1 appearing only 1/Nth of the time
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cap = 1/n
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->
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if Math.random() < cap
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1
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else
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0
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unbiased_function = (f) ->
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->
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while true
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[n1, n2] = [f(), f()]
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return n1 if n1 + n2 == 1
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stats = (label, f) ->
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cnt = 0
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sample_size = 10000000
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for i in [1...sample_size]
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cnt += 1 if f() == 1
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console.log "ratio of 1s: #{cnt / sample_size} [#{label}]"
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for n in [3..6]
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console.log "\n---------- n = #{n}"
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f_biased = biased_rand_function(n)
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f_unbiased = unbiased_function f_biased
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stats "biased", f_biased
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stats "unbiased", f_unbiased
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