module Main where
import Data.Ratio ( (%) )
import Math.Algebra.Hspray ( (^+^), (*^), (^*^), (^**^), Spray, lone
, evalSpray, isSymmetricSpray )
import Math.Algebra.Jack ( jack, zonal, schur, skewSchur )
import Math.Algebra.Jack.HypergeoPQ ( hypergeoPQ )
import Math.Algebra.JackPol ( zonalPol, jackPol, schurPol, skewSchurPol )
import Math.HypergeoMatrix ( hypergeomat )
import Test.Tasty ( defaultMain
, testGroup
)
import Test.Tasty.HUnit ( assertEqual
, assertBool
, testCase
)
main :: IO ()
main = defaultMain $ testGroup
"Tests"
[ testCase "jackPol" $ do
let jp = jackPol 2 [3, 1] (2 % 1) :: Spray Rational
v = evalSpray jp [1, 1]
assertEqual "" v (48 % 1)
, testCase "jackPol is symmetric" $ do
let jp = jackPol 3 [3, 2, 1] (2 % 1) :: Spray Rational
assertBool "" (isSymmetricSpray jp)
, testCase "jack" $ do
assertEqual "" (jack [1, 1] [3, 1] (2 % 1)) (48 % 1 :: Rational)
, testCase "schurPol" $ do
let sp1 = schurPol 4 [4]
sp2 = schurPol 4 [3, 1]
sp3 = schurPol 4 [2, 2]
sp4 = schurPol 4 [2, 1, 1]
sp5 = schurPol 4 [1, 1, 1, 1] :: Spray Int
v = evalSpray (sp1 ^+^ 3 *^ sp2 ^+^ 2 *^ sp3 ^+^ 3 *^ sp4 ^+^ sp5) [2, 2, 2, 2]
assertEqual "" v 4096
, testCase "schurPol is symmetric" $ do
let sp = schurPol 3 [3, 2, 1] :: Spray Rational
assertBool "" (isSymmetricSpray sp)
, testCase "schur" $ do
let sp1 = schur [1, 1, 1, 1] [4]
sp2 = schur [1, 1, 1, 1] [3, 1]
sp3 = schur [1, 1, 1, 1] [2, 2]
sp4 = schur [1, 1, 1, 1] [2, 1, 1]
sp5 = schur [1, 1, 1, 1] [1, 1, 1, 1] :: Int
assertEqual "" (sp1 + 3 * sp2 + 2 * sp3 + 3 * sp4 + sp5) 256
, testCase "skewSchur" $ do
let x = [2, 3, 4] :: [Int]
assertEqual "" (skewSchur x [3, 2, 1] [1, 1]) 1890
, testCase "skewSchurPol" $ do
let x = lone 1 :: Spray Rational
y = lone 2 :: Spray Rational
z = lone 3 :: Spray Rational
skp = skewSchurPol 3 [2, 2, 1] [1, 1]
p = x^**^2 ^*^ y ^+^ x^**^2 ^*^ z ^+^ x ^*^ y^**^2 ^+^ 3 *^ (x ^*^ y ^*^ z)
^+^ x ^*^ z^**^2 ^+^ y^**^2 ^*^ z ^+^ y ^*^ z^**^2
assertEqual "" skp p
, testCase "skewSchurPol is symmetric" $ do
let skp = skewSchurPol 3 [3, 2, 1] [1, 1] :: Spray Rational
assertBool "" (isSymmetricSpray skp)
, testCase "zonalPol" $ do
let zp1 = zonalPol 4 [3] :: Spray Rational
zp2 = zonalPol 4 [2, 1] :: Spray Rational
zp3 = zonalPol 4 [1, 1, 1] :: Spray Rational
v = evalSpray (zp1 ^+^ zp2 ^+^ zp3) [2, 2, 2, 2]
assertEqual "" v 512
, testCase "zonal" $ do
let zp1 = zonal [2 % 1, 2 % 1, 2 % 1, 2 % 1] [3]
zp2 = zonal [2 % 1, 2 % 1, 2 % 1, 2 % 1] [2, 1]
zp3 = zonal [2 % 1, 2 % 1, 2 % 1, 2 % 1] [1, 1, 1] :: Rational
assertEqual "" (zp1 + zp2 + zp3) 512
, testCase "hypergeometric function" $ do
let a = [1 % 1, 2 % 1]
b = [3 % 1]
x = [1 % 5, 1 % 2]
h1 = hypergeoPQ 10 a b x :: Rational
h2 <- hypergeomat 10 2 a b x
assertEqual "" h1 h2
]