HNumeric

Packages

• HNum.Vector : Contain vector, matrix, linear algebra
• HNum.Stats : Contain statistical functions

Installation

1. Native Use

You can use this package just change app/Main.hs Then, just type next command

git clone https://github.com/Axect/HNumeric

2. Cabal Install

First, install prerequisite.

cabal install normaldistribution

Second, install tarball & unpack.

export VERSION=0.2.0.0

wget -O HNumeric-${VERSION}.tar.gz https://github.com/Axect/HNumeric/blob/master/dist/HNumeric-${VERSION}.tar.gz\?raw\=true

tar -xvf HNumeric-${VERSION}.tar.gz

Finally, build & install

cabal build
cabal install

Finish!

3. Import to Stack project

If you use this package to your own project, then you should change stack.yaml and package.yaml

1) Change stack.yaml

# In stack.yaml
extra-deps:
  - git: https://github.com/Axect/HNumeric.git
    commit: [Latest Commit]
  - normaldistribution-1.1.0,3

• Replace [Latest Commit] with latest commit in HNumeric Commit

2) Change package.yaml

# In package.yaml
dependecies:
- base
- HNumeric
- normaldistribution

Then enjoy!

Usage

Import Module

• HNum.Vector
• HNum.Stats

Basic Vector Usage

-- HNumeric-0.2.0.0 Documentation

let a = vector [1,2,3] -- Vector declaration
let b = vector [4,5,6]

-- Print Vector
print a

-- You can (+1) by fmap (Vector is functor)
(+1) <$> a 

-- Or MATLAB-like operator (.+, .-, .*, ./, .^)
a .+ 1

-- You can make list from vector
toList a -- [1, 2, 3]

-- You can make vector from list
fromList [1,2,3] -- Vector [1,2,3]

-- You can add (subtract, multiply, divide) vectors
a + b -- Vector [5,7,9]

-- Also dot product is here.
a .*. b -- 1*4 + 2*5 + 3*6 = 32

-- Declare Matrix (Syntactic Sugar)
let c = matrix [[1,2],[3,4]]

-- or Declare using R Syntax
let d = Matrix {val = Vector [5,6,7,8], row = 2, col = 2, byRow = True}

-- Determinant
det c

-- Inverse
inv c

-- Transpose
transpose c

-- Matrix ops with Constant (+, -, *, /, ^)
c .+ 1 -- Matrix [[2,3],[4,5]]

-- Matrix ops with Matrix (+, -)
c + c -- Matrix [[2,4],[6,8]]

-- Matrix Multiplication
c %*% d

-- Matrix - Inverse Multiplication
c %/% d

-- Vector Concatenate
hcat a b -- Vector [1,2,3,4,5,6]
vcat a b -- Matrix [[1,2,3],[4,5,6]]

-- Matrix Concatenate
hcat c d -- Matrix [[1,2,5,6],[3,4,7,8]]
vcat c d -- Matrix [[1,2],[3,4],[5,6],[7,8]]

-- Insert Vector to Matrix
Vector [1, 2] .: c -- Matrix [[1,2],[1,2],[3,4]]

Basic Stats Usage

-- Sample Vector (import Vector)
v = Vector [1..10]
w = Vector [10, 9 .. 1]

-- Mean
mean v

-- Var
var v

-- Std
std v

-- Cov Matrix
cov v w

-- Only Cov
cov' v w

-- Linear Fit
(intercept, slope) = lm v w -- (11.0, -1.0) -- (Intercept, Slope)

-- Linear Fit function
lineFit (intercept, slope) (Vector [1 .. 20])

-- RSS
rss v w

-- RSE
rse v w

TODO

• Effective Matrix Multiplication
• Write Vector to CSV
• Haddock
• DataFrame using Map
• Fix Matrix Implementation
• Numeric Class Define