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24 changes: 24 additions & 0 deletions ChangeLog.md
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# Revision history for uniqueness-periods-vector-stats

## 0.1.0.0 -- 2020-09-19

* First version. Released on an unsuspecting world.

## 0.1.1.0 -- 2020-09-19

* First version revised A. Fixed issues with not importing from GHC.Prim fabsFloat# for GHC lower than 8.2* versions. Removed functions that used Neumaier summation because
they do not have the intended behaviour.

## 0.1.2.0 -- 2020-09-19

* First version revised B. Removed the functions that compute mean with dispersion using unlifted types, because of numeric inaccuracy.

## 0.2.0.0 -- 2020-12-05

* Second version. Some documentation improvements because of the similar code snippets found in the various
previous publications by the other authors. Added new functions and rewrite the existing ones.

## 0.2.1.0 -- 2020-12-05

* Second version revised A. Fixed issue with being wrongly defined for the meanD and meanF functions.

20 changes: 20 additions & 0 deletions LICENSE
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Copyright (c) 2020 OleksandrZhabenko

Permission is hereby granted, free of charge, to any person obtaining
a copy of this software and associated documentation files (the
"Software"), to deal in the Software without restriction, including
without limitation the rights to use, copy, modify, merge, publish,
distribute, sublicense, and/or sell copies of the Software, and to
permit persons to whom the Software is furnished to do so, subject to
the following conditions:

The above copyright notice and this permission notice shall be included
in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
96 changes: 96 additions & 0 deletions Numeric/Stats.hs
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-- |
-- Module : Numeric.Stats
-- Copyright : (c) OleksandrZhabenko 2020
-- License : MIT
-- Stability : Experimental
-- Maintainer : [email protected]
--
-- A very basic descriptive statistics. Functions use a tail recursion approach to compute the values and are strict by an accumulator.

{-# LANGUAGE BangPatterns, MagicHash #-}

module Numeric.Stats where

import GHC.Exts
import GHC.Prim

-- | Uses GHC unlifted types from @ghc-prim@ package.
-- Similar code is here: Don Stewart. https://donsbot.wordpress.com/2008/05/06/write-haskell-as-fast-as-c-exploiting-strictness-laziness-and-recursion/
-- And here: http://fixpt.de/blog/2017-12-04-strictness-analysis-part-1.html
-- And here: Michael Snoyman. https://www.fpcomplete.com/blog/2017/09/all-about-strictness/
--
mean2F :: [Float] -> Float# -> Int# -> Float
mean2F ((F# !x):xs) !s1 !l1 = mean2F xs (plusFloat# s1 x) (l1 +# 1#)
mean2F _ !s1 !l1 =
case I# l1 of
0 -> error "Not defined for the third zero argument. "
_ -> F# m
where !m = divideFloat# s1 (int2Float# l1)

-- | Uses GHC unlifted types from @ghc-prim@ package.
-- Similar code is here: Don Stewart. https://donsbot.wordpress.com/2008/05/06/write-haskell-as-fast-as-c-exploiting-strictness-laziness-and-recursion/
-- And here: http://fixpt.de/blog/2017-12-04-strictness-analysis-part-1.html
-- And here: Michael Snoyman. https://www.fpcomplete.com/blog/2017/09/all-about-strictness/
--
mean2D :: [Double] -> Double# -> Int# -> Double
mean2D ((D# !x):xs) !s1 !l1 = mean2D xs (s1 +## x) (l1 +# 1#)
mean2D _ !s1 !l1 =
case I# l1 of
0 -> error "Not defined for the third zero argument. "
_ -> D# m
where !m = s1 /## int2Double# l1

-- | One-pass and tail-recursive realization for the pair of the mean and dispersion. Is vulnerable to the floating-point cancellation errors.
-- Similar code is here: Don Stewart. https://donsbot.wordpress.com/2008/05/06/write-haskell-as-fast-as-c-exploiting-strictness-laziness-and-recursion/
-- And here: http://fixpt.de/blog/2017-12-04-strictness-analysis-part-1.html
-- And here: Michael Snoyman. https://www.fpcomplete.com/blog/2017/09/all-about-strictness/
-- When using the needed, please, refer better to their variants.
--
-- Among the 'meanWithDispersion', 'meanWithDisprsionF' and 'meanWithDispersionD' better to use the last one.
meanWithDispersion :: (RealFrac a, Floating a) => [a] -> a -> a -> a -> a -> a -> (a,a)
meanWithDispersion (!x:xs) !s1 !s2 !l1 m1 d = meanWithDispersion xs (s1 + x) (s2 + x*x) (l1 + 1) (m0 s1 l1 x) (m0 s2 l1 (x*x) - (m0 s1 l1 x)**2)
where m0 !s3 !l2 !x = (s3 + x) / (l2 + 1)
meanWithDispersion _ _ _ _ !m !d = (m,d)

-- | Among the 'meanWithDispersion', 'meanWithDisprsionF' and 'meanWithDispersionD' better to use the last one.
meanWithDispersionF :: [Float] -> Float# -> Float# -> Int# -> (Float,Float)
meanWithDispersionF ((F# !x):xs) !s1 !s2 !l1 = meanWithDispersionF xs (plusFloat# s1 x) (plusFloat# s2 (timesFloat# x x)) (l1 +# 1#)
meanWithDispersionF [] !s1 !s2 !l1 = (F# m, F# (minusFloat# (divideFloat# s2 (int2Float# l1)) (timesFloat# m m)))
where !m = divideFloat# s1 (int2Float# l1)

-- | Among the 'meanWithDispersion', 'meanWithDisprsionF' and 'meanWithDispersionD' better to use the last one.
meanWithDispersionD :: [Double] -> Double# -> Double# -> Int# -> (Double,Double)
meanWithDispersionD ((D# !x):xs) !s1 !s2 !l1 = meanWithDispersionD xs (s1 +## x) (s2 +## (x *## x)) (l1 +# 1#)
meanWithDispersionD [] !s1 !s2 !l1 = (D# m, D# ((s2 /## int2Double# l1) -## (m *## m)))
where !m = s1 /## int2Double# l1

-- | Uses 'mean2F' inside.
meanF :: [Float] -> Float
meanF xs = mean2F xs 0.0# 0#
{-# INLINE meanF #-}

meanD :: [Double] -> Double
meanD xs = mean2D xs 0.0## 0#

-- | Among the 'meanWithDisp', 'meanWithDispF2' and 'meanWithDispD2' better to use the last one.
meanWithDisp :: (RealFrac a, Floating a) => [a] -> (a,a)
meanWithDisp xs
| null xs = error "Not defined for the empty list. "
| otherwise = meanWithDispersion xs 0.0 0.0 0.0 0.0 0.0
{-# RULES "realfroc/float" meanWithDisp = meanWithDispF2 #-}
{-# RULES "realfroc/double" meanWithDisp = meanWithDispD2 #-}
{-# INLINE[2] meanWithDisp #-}

-- | Among the 'meanWithDisp', 'meanWithDispF2' and 'meanWithDispD2' better to use the last one.
meanWithDispF2 :: [Float] -> (Float,Float)
meanWithDispF2 xs
| null xs = error "Not defined for the empty list. "
| otherwise = meanWithDispersionF xs 0.0# 0.0# 0#
{-# INLINE meanWithDispF2 #-}

-- | Among the 'meanWithDisp', 'meanWithDispF2' and 'meanWithDispD2' better to use the last one.
meanWithDispD2 :: [Double] -> (Double,Double)
meanWithDispD2 xs
| null xs = error "Not defined for the empty list. "
| otherwise = meanWithDispersionD xs 0.0## 0.0## 0#
{-# INLINE meanWithDispD2 #-}
2 changes: 2 additions & 0 deletions Setup.hs
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import Distribution.Simple
main = defaultMain
25 changes: 25 additions & 0 deletions uniqueness-periods-vector-stats.cabal
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-- Initial uniqueness-periods-vector-stats.cabal generated by cabal init.
-- For further documentation, see http://haskell.org/cabal/users-guide/

name: uniqueness-periods-vector-stats
version: 0.2.1.0
synopsis: A very basic descriptive statistics.
description: A very basic descriptive statistics. Functions use a tail recursion approach to compute the values and are strict by an accumulator.
homepage: https://hackage.haskell.org/package/uniqueness-periods-vector-stats
license: MIT
license-file: LICENSE
author: OleksandrZhabenko
maintainer: [email protected]
copyright: Oleksandr Zhabenko
category: Math,Data
build-type: Simple
extra-source-files: ChangeLog.md
cabal-version: >=1.10

library
exposed-modules: Numeric.Stats
-- other-modules:
other-extensions: BangPatterns, MagicHash
build-depends: base >=4.7 && <4.15, ghc-prim >=0.3.1 && <1
-- hs-source-dirs:
default-language: Haskell2010

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