HNumeric

Packages

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

Installation

1. Cabal Install

cabal update
cabal install HNumeric

That's all!

2. 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