{-# LANGUAGE BangPatterns, MagicHash, NoImplicitPrelude #-}
module Numeric.Stats where
import GHC.Exts
import GHC.Prim
import GHC.Base
import GHC.Real
import GHC.Float
import GHC.Num
mean2F :: [Float] -> Float# -> Int# -> Float
mean2F :: [Float] -> Float# -> Int# -> Float
mean2F ((F# !Float#
x):[Float]
xs) !Float#
s1 !Int#
l1 = [Float] -> Float# -> Int# -> Float
mean2F [Float]
xs (Float# -> Float# -> Float#
plusFloat# Float#
s1 Float#
x) (Int#
l1 Int# -> Int# -> Int#
+# Int#
1#)
mean2F [Float]
_ !Float#
s1 !Int#
l1 =
case Int# -> Int
I# Int#
l1 of
Int
0 -> forall a. HasCallStack => [Char] -> a
error [Char]
"Numeric.Stats.mean2F: Not defined for the third zero argument. "
Int
_ -> Float# -> Float
F# Float#
m
where !m :: Float#
m = Float# -> Float# -> Float#
divideFloat# Float#
s1 (Int# -> Float#
int2Float# Int#
l1)
mean2D :: [Double] -> Double# -> Int# -> Double
mean2D :: [Double] -> Double# -> Int# -> Double
mean2D ((D# !Double#
x):[Double]
xs) !Double#
s1 !Int#
l1 = [Double] -> Double# -> Int# -> Double
mean2D [Double]
xs (Double#
s1 Double# -> Double# -> Double#
+## Double#
x) (Int#
l1 Int# -> Int# -> Int#
+# Int#
1#)
mean2D [Double]
_ !Double#
s1 !Int#
l1 =
case Int# -> Int
I# Int#
l1 of
Int
0 -> forall a. HasCallStack => [Char] -> a
error [Char]
"Numeric.Stats.mean2D: Not defined for the third zero argument. "
Int
_ -> Double# -> Double
D# Double#
m
where !m :: Double#
m = Double#
s1 Double# -> Double# -> Double#
/## Int# -> Double#
int2Double# Int#
l1
meanWithDispersionP :: (RealFrac a, Floating a) => [a] -> a -> a -> a -> a -> a -> (a,a)
meanWithDispersionP :: forall a.
(RealFrac a, Floating a) =>
[a] -> a -> a -> a -> a -> a -> (a, a)
meanWithDispersionP (!a
x:[a]
xs) !a
s1 !a
s2 !a
l1 a
m1 a
d = forall a.
(RealFrac a, Floating a) =>
[a] -> a -> a -> a -> a -> a -> (a, a)
meanWithDispersionP [a]
xs (a
s1 forall a. Num a => a -> a -> a
+ a
x) (a
s2 forall a. Num a => a -> a -> a
+ a
xforall a. Num a => a -> a -> a
*a
x) (a
l1 forall a. Num a => a -> a -> a
+ a
1) (forall {a}. Fractional a => a -> a -> a -> a
m0 a
s1 a
l1 a
x) (forall {a}. Fractional a => a -> a -> a -> a
m0 a
s2 a
l1 (a
xforall a. Num a => a -> a -> a
*a
x) forall a. Num a => a -> a -> a
- (forall {a}. Fractional a => a -> a -> a -> a
m0 a
s1 a
l1 a
x)forall a. Floating a => a -> a -> a
**a
2)
where m0 :: a -> a -> a -> a
m0 !a
s3 !a
l2 !a
x = (a
s3 forall a. Num a => a -> a -> a
+ a
x) forall a. Fractional a => a -> a -> a
/ (a
l2 forall a. Num a => a -> a -> a
+ a
1)
meanWithDispersionP [a]
_ a
_ a
_ a
_ !a
m !a
d = (a
m,a
d)
meanWithDispersionFP :: [Float] -> Float# -> Float# -> Int# -> (Float,Float)
meanWithDispersionFP :: [Float] -> Float# -> Float# -> Int# -> (Float, Float)
meanWithDispersionFP ((F# !Float#
x):[Float]
xs) !Float#
s1 !Float#
s2 !Int#
l1 = [Float] -> Float# -> Float# -> Int# -> (Float, Float)
meanWithDispersionFP [Float]
xs (Float# -> Float# -> Float#
plusFloat# Float#
s1 Float#
x) (Float# -> Float# -> Float#
plusFloat# Float#
s2 (Float# -> Float# -> Float#
timesFloat# Float#
x Float#
x)) (Int#
l1 Int# -> Int# -> Int#
+# Int#
1#)
meanWithDispersionFP [] !Float#
s1 !Float#
s2 !Int#
l1 = (Float# -> Float
F# Float#
m, Float# -> Float
F# (Float# -> Float# -> Float#
minusFloat# (Float# -> Float# -> Float#
divideFloat# Float#
s2 (Int# -> Float#
int2Float# Int#
l1)) (Float# -> Float# -> Float#
timesFloat# Float#
m Float#
m)))
where !m :: Float#
m = Float# -> Float# -> Float#
divideFloat# Float#
s1 (Int# -> Float#
int2Float# Int#
l1)
meanWithDispersionDP :: [Double] -> Double# -> Double# -> Int# -> (Double,Double)
meanWithDispersionDP :: [Double] -> Double# -> Double# -> Int# -> (Double, Double)
meanWithDispersionDP ((D# !Double#
x):[Double]
xs) !Double#
s1 !Double#
s2 !Int#
l1 = [Double] -> Double# -> Double# -> Int# -> (Double, Double)
meanWithDispersionDP [Double]
xs (Double#
s1 Double# -> Double# -> Double#
+## Double#
x) (Double#
s2 Double# -> Double# -> Double#
+## (Double#
x Double# -> Double# -> Double#
*## Double#
x)) (Int#
l1 Int# -> Int# -> Int#
+# Int#
1#)
meanWithDispersionDP [] !Double#
s1 !Double#
s2 !Int#
l1 = (Double# -> Double
D# Double#
m, Double# -> Double
D# ((Double#
s2 Double# -> Double# -> Double#
/## Int# -> Double#
int2Double# Int#
l1) Double# -> Double# -> Double#
-## (Double#
m Double# -> Double# -> Double#
*## Double#
m)))
where !m :: Double#
m = Double#
s1 Double# -> Double# -> Double#
/## Int# -> Double#
int2Double# Int#
l1
meanF :: [Float] -> Float
meanF :: [Float] -> Float
meanF [Float]
xs = [Float] -> Float# -> Int# -> Float
mean2F [Float]
xs Float#
0.0# Int#
0#
{-# INLINE meanF #-}
meanD :: [Double] -> Double
meanD :: [Double] -> Double
meanD [Double]
xs = [Double] -> Double# -> Int# -> Double
mean2D [Double]
xs Double#
0.0## Int#
0#
meanWithDispP :: (RealFrac a, Floating a) => [a] -> (a,a)
meanWithDispP :: forall a. (RealFrac a, Floating a) => [a] -> (a, a)
meanWithDispP xs :: [a]
xs@(a
_:[a]
_) = forall a.
(RealFrac a, Floating a) =>
[a] -> a -> a -> a -> a -> a -> (a, a)
meanWithDispersionP [a]
xs a
0.0 a
0.0 a
0.0 a
0.0 a
0.0
meanWithDispP [a]
_ = forall a. HasCallStack => [Char] -> a
error [Char]
"Numeric.Stats.meanWithDispP: Not defined for the empty list. "
{-# RULES "realfrac/float" meanWithDispP = meanWithDispF2P #-}
{-# RULES "realfrac/double" meanWithDispP = meanWithDispD2P #-}
{-# INLINE[2] meanWithDispP #-}
meanWithDispF2P :: [Float] -> (Float,Float)
meanWithDispF2P :: [Float] -> (Float, Float)
meanWithDispF2P xs :: [Float]
xs@(Float
_:[Float]
_) = [Float] -> Float# -> Float# -> Int# -> (Float, Float)
meanWithDispersionFP [Float]
xs Float#
0.0# Float#
0.0# Int#
0#
meanWithDispF2P [Float]
_ = forall a. HasCallStack => [Char] -> a
error [Char]
"Numeric.Stats.meanWithDispF2P: Not defined for the empty list. "
{-# INLINE meanWithDispF2P #-}
meanWithDispD2P :: [Double] -> (Double,Double)
meanWithDispD2P :: [Double] -> (Double, Double)
meanWithDispD2P xs :: [Double]
xs@(Double
x:[Double]
_) = [Double] -> Double# -> Double# -> Int# -> (Double, Double)
meanWithDispersionDP [Double]
xs Double#
0.0## Double#
0.0## Int#
0#
meanWithDispD2P [Double]
_ = forall a. HasCallStack => [Char] -> a
error [Char]
"Numeric.Stats.meanWithDispD2P: Not defined for the empty list. "
{-# INLINE meanWithDispD2P #-}
meanWithDisp :: (RealFrac a, Floating a) => [a] -> (a,a)
meanWithDisp :: forall a. (RealFrac a, Floating a) => [a] -> (a, a)
meanWithDisp xs :: [a]
xs@(a
_:a
_:[a]
_) = forall {b}. Floating b => [b] -> b -> b -> b -> (b, b)
mdl [a]
xs a
0.0 a
0.0 a
0.0
where mdl :: [b] -> b -> b -> b -> (b, b)
mdl (!b
x:[b]
ys) !b
s1 !b
s2 !b
l1 = [b] -> b -> b -> b -> (b, b)
mdl [b]
ys (b
s1 forall a. Num a => a -> a -> a
+ b
x) (b
s2 forall a. Num a => a -> a -> a
+ b
xforall a. Num a => a -> a -> a
*b
x) (b
l1 forall a. Num a => a -> a -> a
+ b
1)
mdl [b]
_ !b
s1 !b
s2 !b
l = (b
mm, (b
s2 forall a. Num a => a -> a -> a
- b
mmforall a. Floating a => a -> a -> a
**b
2 forall a. Num a => a -> a -> a
* b
l) forall a. Fractional a => a -> a -> a
/ (b
l forall a. Num a => a -> a -> a
- b
1))
where !mm :: b
mm = b
s1 forall a. Fractional a => a -> a -> a
/ b
l
meanWithDisp [a]
_ = forall a. HasCallStack => [Char] -> a
error [Char]
"Numeric.Stats.meanWithDisp: Not defined for the list with less than two elements. "
{-# RULES "realfrac/float" meanWithDisp = meanWithDispF2 #-}
{-# RULES "realfrac/double" meanWithDisp = meanWithDispD2 #-}
{-# INLINE[2] meanWithDisp #-}
meanWithDispF2 :: [Float] -> (Float,Float)
meanWithDispF2 :: [Float] -> (Float, Float)
meanWithDispF2 xs :: [Float]
xs@(Float
_:Float
_:[Float]
_) = [Float] -> Float# -> Float# -> Int# -> (Float, Float)
mdlF [Float]
xs Float#
0.0# Float#
0.0# Int#
0#
where mdlF :: [Float] -> Float# -> Float# -> Int# -> (Float, Float)
mdlF (F# !Float#
x:[Float]
ys) !Float#
s1 !Float#
s2 !Int#
l1 = [Float] -> Float# -> Float# -> Int# -> (Float, Float)
mdlF [Float]
ys (Float# -> Float# -> Float#
plusFloat# Float#
s1 Float#
x) (Float# -> Float# -> Float#
plusFloat# Float#
s2 (Float# -> Float# -> Float#
timesFloat# Float#
x Float#
x)) (Int#
l1 Int# -> Int# -> Int#
+# Int#
1#)
mdlF [] !Float#
s1 !Float#
s2 !Int#
l1 = (Float# -> Float
F# Float#
m, Float# -> Float
F# (Float# -> Float# -> Float#
divideFloat# (Float# -> Float# -> Float#
minusFloat# Float#
s2 (Float# -> Float# -> Float#
timesFloat# (Float# -> Float# -> Float#
timesFloat# Float#
m Float#
m) (Int# -> Float#
int2Float# Int#
l1))) (Int# -> Float#
int2Float# (Int#
l1 Int# -> Int# -> Int#
-# Int#
1#))))
where !m :: Float#
m = Float# -> Float# -> Float#
divideFloat# Float#
s1 (Int# -> Float#
int2Float# Int#
l1)
meanWithDispF2 [Float]
_ = forall a. HasCallStack => [Char] -> a
error [Char]
"Numeric.Stats.meanWithDispF2: Not defined for the list with less than two elements. "
{-# INLINE meanWithDispF2 #-}
meanWithDispD2 :: [Double] -> (Double,Double)
meanWithDispD2 :: [Double] -> (Double, Double)
meanWithDispD2 xs :: [Double]
xs@(Double
_:Double
_:[Double]
_) = [Double] -> Double# -> Double# -> Int# -> (Double, Double)
mdlD [Double]
xs Double#
0.0## Double#
0.0## Int#
0#
where mdlD :: [Double] -> Double# -> Double# -> Int# -> (Double, Double)
mdlD ((D# !Double#
x):[Double]
xs) !Double#
s1 !Double#
s2 !Int#
l1 = [Double] -> Double# -> Double# -> Int# -> (Double, Double)
mdlD [Double]
xs (Double#
s1 Double# -> Double# -> Double#
+## Double#
x) (Double#
s2 Double# -> Double# -> Double#
+## (Double#
x Double# -> Double# -> Double#
*## Double#
x)) (Int#
l1 Int# -> Int# -> Int#
+# Int#
1#)
mdlD [] !Double#
s1 !Double#
s2 !Int#
l1 = (Double# -> Double
D# Double#
m, Double# -> Double
D# ((Double#
s2 Double# -> Double# -> Double#
-## Double#
m Double# -> Double# -> Double#
*## Double#
m Double# -> Double# -> Double#
*## Int# -> Double#
int2Double# Int#
l1) Double# -> Double# -> Double#
/## (Int# -> Double#
int2Double# (Int#
l1 Int# -> Int# -> Int#
-# Int#
1#))))
where !m :: Double#
m = Double#
s1 Double# -> Double# -> Double#
/## Int# -> Double#
int2Double# Int#
l1
meanWithDispD2 [Double]
_ = forall a. HasCallStack => [Char] -> a
error [Char]
"Numeric.Stats.meanWithDispD2: Not defined for the list with less than two elements. "
{-# INLINE meanWithDispD2 #-}