statistics-0.13.2.3: A library of statistical types, data, and functions

Copyright2011 Aleksey Khudyakov, 2014 Bryan O'Sullivan
LicenseBSD3
Safe HaskellNone
LanguageHaskell98

Statistics.Matrix

Description

Basic matrix operations.

There isn't a widely used matrix package for Haskell yet, so we implement the necessary minimum here.

Synopsis

Documentation

data Matrix

Two-dimensional matrix, stored in row-major order.

Constructors

Matrix 

Fields

rows :: !Int

Rows of matrix.

cols :: !Int

Columns of matrix.

exponent :: !Int

In order to avoid overflows during matrix multiplication, a large exponent is stored separately.

_vector :: !Vector

Matrix data.

Instances

fromList

Arguments

:: Int

Number of rows.

-> Int

Number of columns.

-> [Double]

Flat list of values, in row-major order.

-> Matrix 

Convert from a row-major list.

fromVector

Arguments

:: Int

Number of rows.

-> Int

Number of columns.

-> Vector Double

Flat list of values, in row-major order.

-> Matrix 

Convert from a row-major vector.

toVector :: Matrix -> Vector Double

Convert to a row-major flat vector.

toList :: Matrix -> [Double]

Convert to a row-major flat list.

dimension :: Matrix -> (Int, Int)

Return the dimensions of this matrix, as a (row,column) pair.

center :: Matrix -> Double

Element in the center of matrix (not corrected for exponent).

multiply :: Matrix -> Matrix -> Matrix

Matrix-matrix multiplication. Matrices must be of compatible sizes (note: not checked).

multiplyV :: Matrix -> Vector -> Vector

Matrix-vector multiplication.

power :: Matrix -> Int -> Matrix

Raise matrix to nth power. Power must be positive (/note: not checked).

norm :: Vector -> Double

Calculate the Euclidean norm of a vector.

column :: Matrix -> Int -> Vector

Return the given column.

row :: Matrix -> Int -> Vector

Return the given row.

map :: (Double -> Double) -> Matrix -> Matrix

for :: Monad m => Int -> Int -> (Int -> m ()) -> m ()

Simple for loop. Counts from start to end-1.

unsafeIndex

Arguments

:: Matrix 
-> Int

Row.

-> Int

Column.

-> Double 

hasNaN :: Matrix -> Bool

Indicate whether any element of the matrix is NaN.

bounds :: (Vector -> Int -> r) -> Matrix -> Int -> Int -> r

Given row and column numbers, calculate the offset into the flat row-major vector.

unsafeBounds :: (Vector -> Int -> r) -> Matrix -> Int -> Int -> r

Given row and column numbers, calculate the offset into the flat row-major vector, without checking.