# scravy/bed-and-breakfast

Matrix operations in 100% pure Haskell
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# bed-and-breakfast

Matrix operations in 100% pure Haskell.

Bed and Breakfast is a linear algebra library written in Haskell. It provides fast matrix operations like finding the determinant or the inverse of a matrix.

## Example (GHCi Session)

``````*Numeric.Matrix> let m = fromList [[0,3,2],[5,6,10],[4,3,2.0]] :: Matrix Double
*Numeric.Matrix> inv m
Just  -0.2499999999999999  0.0  0.25
0.4166666666666667  -0.11111111111111112  0.1388888888888889
-0.12500000000000006  0.16666666666666669  -0.20833333333333334

*Numeric.Matrix> let m = fromList [[0,3,2],[5,6,10],[4,3,2.0]] :: Matrix Rational
*Numeric.Matrix> inv m
Just  (-1) % 4  0 % 1  1 % 4
5 % 12  (-1) % 9  5 % 36
(-1) % 8  1 % 6  (-5) % 24
``````

## Example (with Template Haskell Syntactic Sugar)

``````{-# LANGUAGE Haskell2010, TemplateHaskell, QuasiQuotes #-}

import Numeric.Matrix
import Numeric.Matrix.Sugar

m :: Matrix Double
m = [dMatrix| 20   30 40
40.5 71 23
20   20 27 |]

mInv = maybe (error "not invertible") id \$ inv m
``````
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