module Main
where

import Cube
import Face
import Grid
import Misc (flatten)
import Point
import RealFunction
import Tetrahedron
import ThreeDimensional

trilinear :: [[[Double]]]
trilinear = [ [ [ 1, 2, 3 ],
                [ 1, 3, 5 ],
                [ 1, 4, 7 ] ],
              [ [ 1, 2, 3 ],
                [ 1, 4, 7 ],
                [ 1, 6, 11 ] ],
              [ [ 1, 2, 3 ],
                [ 1, 5, 9 ],
                [ 1, 8, 15 ]]]

zeros :: [[[Double]]]
zeros = [ [ [ 0, 0, 0 ],
            [ 0, 0, 0 ],
            [ 0, 0, 0 ] ],
          --
          [ [ 0, 0, 0 ],
            [ 0, 0, 0 ],
            [ 0, 0, 0 ] ],
          --
          [ [ 0, 0, 0 ],
            [ 0, 0, 0 ],
            [ 0, 0, 0 ]]]

dummy :: [[[Double]]]
dummy = [ [ [ 0, 1, 2 ],
            [ 3, 4, 5 ],
            [ 6, 7, 8 ] ],
          --
          [ [ 9, 10, 11 ],
            [ 12, 13, 14 ],
            [ 15, 16, 17 ] ],
          --
          [ [ 18, 19, 20 ],
            [ 21, 22, 23 ],
            [ 24, 25, 26 ]]]


find_point_value :: RealFunction Point
find_point_value p = poly p
    where
      g0 = make_grid 1 trilinear
      the_cubes = flatten (cubes g0)
      good_cubes = filter ((flip contains_point) p) the_cubes
      target_cube = good_cubes !! 0
      good_tets = filter ((flip contains_point) p) (tetrahedrons target_cube)
      target_tetrahedron = good_tets !! 0
      poly = polynomial target_tetrahedron

main :: IO ()
main = do
  putStrLn $ show $ find_point_value (0,0,0)
  putStrLn $ show $ find_point_value (1,0,0)
  putStrLn $ show $ find_point_value (2,0,0)
  putStrLn $ show $ find_point_value (0,1,0)
  putStrLn $ show $ find_point_value (1,1,0)
  putStrLn $ show $ find_point_value (2,1,0)
  putStrLn $ show $ find_point_value (0,2,0)
  putStrLn $ show $ find_point_value (1,2,0)
  putStrLn $ show $ find_point_value (2,2,0)
  putStrLn $ show $ find_point_value (0,0,1)
  putStrLn $ show $ find_point_value (1,0,1)
  putStrLn $ show $ find_point_value (2,0,1)
  putStrLn $ show $ find_point_value (0,1,1)
  putStrLn $ show $ find_point_value (1,1,1)
  putStrLn $ show $ find_point_value (2,1,1)
  putStrLn $ show $ find_point_value (0,2,1)
  putStrLn $ show $ find_point_value (1,2,1)
  putStrLn $ show $ find_point_value (2,2,1)
  putStrLn $ show $ find_point_value (0,0,2)
  putStrLn $ show $ find_point_value (1,0,2)
  putStrLn $ show $ find_point_value (2,0,2)
  putStrLn $ show $ find_point_value (0,1,2)
  putStrLn $ show $ find_point_value (1,1,2)
  putStrLn $ show $ find_point_value (2,1,2)
  putStrLn $ show $ find_point_value (0,2,2)
  putStrLn $ show $ find_point_value (1,2,2)
  putStrLn $ show $ find_point_value (2,2,2)
  -- let g0 = make_grid 1 trilinear
  -- let the_cubes = flatten (cubes g0)
  -- putStrLn $ show $ the_cubes
  -- let p = (2, 0, 0)
  -- let target_cubes = filter ((flip contains_point) p) the_cubes
  -- putStrLn $ show $ target_cubes
  -- let target_cube = (take 1 target_cubes) !! 0
  -- putStrLn $ show $ target_cube
  -- let target_tetrahedra = filter ((flip contains_point) p) (tetrahedrons target_cube)
  -- let target_tetrahedron = (take 1 target_tetrahedra) !! 0
  -- putStrLn $ show $ target_tetrahedron
  -- let poly = polynomial target_tetrahedron
  -- putStrLn $ show $ poly
  -- putStrLn $ show $ poly p