{-# LANGUAGE NoImplicitPrelude #-}
module Copilot.Library.Statistics
( max, min, sum, mean, meanNow ) where
import Copilot.Language
import Copilot.Library.Utils
sum :: ( Typed a, Num a, Eq a ) => Int -> Stream a -> Stream a
sum :: Int -> Stream a -> Stream a
sum Int
n Stream a
s = Int -> (Stream a -> Stream a -> Stream a) -> Stream a -> Stream a
forall a.
Typed a =>
Int -> (Stream a -> Stream a -> Stream a) -> Stream a -> Stream a
nfoldl1 Int
n Stream a -> Stream a -> Stream a
forall a. Num a => a -> a -> a
(+) Stream a
s
max :: ( Typed a, Ord a ) => Int -> Stream a -> Stream a
max :: Int -> Stream a -> Stream a
max Int
n Stream a
s = Int -> (Stream a -> Stream a -> Stream a) -> Stream a -> Stream a
forall a.
Typed a =>
Int -> (Stream a -> Stream a -> Stream a) -> Stream a -> Stream a
nfoldl1 Int
n Stream a -> Stream a -> Stream a
largest Stream a
s
where largest :: Stream a -> Stream a -> Stream a
largest = \ Stream a
x Stream a
y -> Stream Bool -> Stream a -> Stream a -> Stream a
forall a.
Typed a =>
Stream Bool -> Stream a -> Stream a -> Stream a
mux ( Stream a
x Stream a -> Stream a -> Stream Bool
forall a. (Ord a, Typed a) => Stream a -> Stream a -> Stream Bool
>= Stream a
y ) Stream a
x Stream a
y
min :: ( Typed a, Ord a ) => Int -> Stream a -> Stream a
min :: Int -> Stream a -> Stream a
min Int
n Stream a
s = Int -> (Stream a -> Stream a -> Stream a) -> Stream a -> Stream a
forall a.
Typed a =>
Int -> (Stream a -> Stream a -> Stream a) -> Stream a -> Stream a
nfoldl1 Int
n Stream a -> Stream a -> Stream a
smallest Stream a
s
where smallest :: Stream a -> Stream a -> Stream a
smallest = \ Stream a
x Stream a
y -> Stream Bool -> Stream a -> Stream a -> Stream a
forall a.
Typed a =>
Stream Bool -> Stream a -> Stream a -> Stream a
mux ( Stream a
x Stream a -> Stream a -> Stream Bool
forall a. (Ord a, Typed a) => Stream a -> Stream a -> Stream Bool
<= Stream a
y ) Stream a
x Stream a
y
mean :: ( Typed a, Eq a, Fractional a ) => Int -> Stream a -> Stream a
mean :: Int -> Stream a -> Stream a
mean Int
n Stream a
s = ( Int -> Stream a -> Stream a
forall a. (Typed a, Num a, Eq a) => Int -> Stream a -> Stream a
sum Int
n Stream a
s ) Stream a -> Stream a -> Stream a
forall a. Fractional a => a -> a -> a
/ ( Int -> Stream a
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
n )
meanNow :: ( Typed a, Integral a ) => [ Stream a ] -> Stream a
meanNow :: [Stream a] -> Stream a
meanNow [] =
String -> Stream a
forall a. String -> a
badUsage String
"list of arguments to meanNow must be nonempty"
meanNow [Stream a]
ls = ( (Stream a -> Stream a -> Stream a) -> [Stream a] -> Stream a
forall (t :: * -> *) a. Foldable t => (a -> a -> a) -> t a -> a
foldl1 Stream a -> Stream a -> Stream a
forall a. Num a => a -> a -> a
(+) [Stream a]
ls ) Stream a -> Stream a -> Stream a
forall a. (Typed a, Integral a) => Stream a -> Stream a -> Stream a
`div` ( Int -> Stream a
forall a b. (Integral a, Num b) => a -> b
fromIntegral (Int -> Stream a) -> Int -> Stream a
forall a b. (a -> b) -> a -> b
$ [Stream a] -> Int
forall (t :: * -> *) a. Foldable t => t a -> Int
length [Stream a]
ls )