module Main where

import qualified Numeric.LAPACK.Orthogonal as Ortho
import qualified Numeric.LAPACK.Matrix as Matrix
import qualified Numeric.LAPACK.Vector as Vector
import Numeric.LAPACK.Matrix (shapeInt)

import Data.Array.Comfort.Shape ((:+:)((:+:)))


main :: IO ()
main = do
   let ab = Matrix.fromList (shapeInt 0) (shapeInt 0 :+: shapeInt 3) ([]::[Double])
   let d = Vector.fromList (shapeInt 0) []
   let xy = Vector.fromList (shapeInt 0 :+: shapeInt 3) [-3,1,2]
   let a = Matrix.tallFromGeneral $ Matrix.takeLeft ab
   let b = Matrix.takeRight ab
   print $ Ortho.gaussMarkovLinearModel a b d
   print $ Ortho.project (Matrix.wideFromGeneral ab) d xy