Data commit

Task/Averages-Root-mean-square/AppleScript/averages-root-mean-square-1.applescript

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+--------------------- ROOT MEAN SQUARE -------------------
+
+-- rootMeanSquare :: [Num] -> Real
+on rootMeanSquare(xs)
+    script
+        on |λ|(a, x)
+            a + x * x
+        end |λ|
+    end script
+
+    (foldl(result, 0, xs) / (length of xs)) ^ (1 / 2)
+end rootMeanSquare
+
+
+--------------------------- TEST -------------------------
+on run
+
+    rootMeanSquare({1, 2, 3, 4, 5, 6, 7, 8, 9, 10})
+
+    -- > 6.204836822995
+end run
+
+
+-------------------- GENERIC FUNCTIONS -------------------
+
+-- foldl :: (a -> b -> a) -> a -> [b] -> a
+on foldl(f, startValue, xs)
+    tell mReturn(f)
+        set v to startValue
+        set lng to length of xs
+        repeat with i from 1 to lng
+            set v to |λ|(v, item i of xs, i, xs)
+        end repeat
+        return v
+    end tell
+end foldl
+
+-- Lift 2nd class handler function into 1st class script wrapper
+-- mReturn :: Handler -> Script
+on mReturn(f)
+    if class of f is script then
+        f
+    else
+        script
+            property |λ| : f
+        end script
+    end if
+end mReturn

Task/Averages-Root-mean-square/AppleScript/averages-root-mean-square-2.applescript

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+on rootMeanSquare(listOfNumbers)
+    script o
+        property lst : listOfNumbers
+    end script
+    set r to 0.0
+    repeat with n in o's lst
+        set r to r + (n ^ 2)
+    end repeat
+
+    return (r / (count o's lst)) ^ 0.5
+end rootMeanSquare
+
+rootMeanSquare({1, 2, 3, 4, 5, 6, 7, 8, 9, 10})

Task/Averages-Root-mean-square/AppleScript/averages-root-mean-square-3.applescript

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+6.204836822995

Task/Averages-Root-mean-square/AppleScript/averages-root-mean-square-4.applescript

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+-- RMS of integer range a to b.
+on rootMeanSquare(a, b)
+	return ((b * (b + 1) * (2 * b + 1) - a * (a - 1) * (2 * a - 1)) / 6 / (b - a + 1)) ^ 0.5
+end rootMeanSquare
+
+rootMeanSquare(1, 10)

Task/Averages-Root-mean-square/AppleScript/averages-root-mean-square-5.applescript

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+6.204836822995