src/FunctionValues.hs

   1 module FunctionValues
   2 where
   3
   4 import Prelude hiding (LT)
   5
   6 import Cardinal
   7
   8 data FunctionValues =
   9     FunctionValues { front  :: Double,
  10                      back   :: Double,
  11                      left   :: Double,
  12                      right  :: Double,
  13                      top    :: Double,
  14                      down   :: Double,
  15                      front_left :: Double,
  16                      front_right :: Double,
  17                      front_top :: Double,
  18                      front_down :: Double,
  19                      back_left :: Double,
  20                      back_right :: Double,
  21                      back_top :: Double,
  22                      back_down :: Double,
  23                      left_top :: Double,
  24                      left_down :: Double,
  25                      right_top :: Double,
  26                      right_down :: Double,
  27                      front_left_top :: Double,
  28                      front_left_down :: Double,
  29                      front_right_top :: Double,
  30                      front_right_down :: Double,
  31                      back_left_top :: Double,
  32                      back_left_down :: Double,
  33                      back_right_top :: Double,
  34                      back_right_down :: Double,
  35                      interior :: Double }
  36       deriving (Eq, Show)
  37
  38 empty_values :: FunctionValues
  39 empty_values =
  40     FunctionValues 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
  41
  42 eval :: FunctionValues -> Cardinal -> Double
  43 eval f F = front f
  44 eval f B = back f
  45 eval f L = left f
  46 eval f R = right f
  47 eval f T = top f
  48 eval f D = down f
  49 eval f FL = front_left f
  50 eval f FR = front_right f
  51 eval f FD = front_down f
  52 eval f FT = front_top f
  53 eval f BL = back_left f
  54 eval f BR = back_right f
  55 eval f BD = back_down f
  56 eval f BT = back_top f
  57 eval f LD = left_down f
  58 eval f LT = left_top f
  59 eval f RD = right_down f
  60 eval f RT = right_top f
  61 eval f FLD = front_left_down f
  62 eval f FLT = front_left_top f
  63 eval f FRD = front_right_down f
  64 eval f FRT = front_right_top f
  65 eval f BLD = back_left_down f
  66 eval f BLT = back_left_top f
  67 eval f BRD = back_right_down f
  68 eval f BRT = back_right_top f
  69 eval f I   = interior f
  70 eval _ (Scalar x) = x
  71 eval f (Sum x y) = (eval f x) + (eval f y)
  72 eval f (Difference x y) = (eval f x) - (eval f y)
  73 eval f (Product x y) = (eval f x) * (eval f y)
  74 eval f (Quotient x y) = (eval f x) / (eval f y)
  75
  76 value_at :: [[[Double]]] -> Int -> Int -> Int -> Double
  77 value_at values i j k =
  78     ((values !! k) !! j) !! i
  79
  80 make_values :: [[[Double]]] -> Int -> Int -> Int -> FunctionValues
  81 make_values values i j k =
  82     empty_values { front  = value_at values (i-1) j k,
  83                    back   = value_at values (i+1) j k,
  84                    left   = value_at values i (j-1) k,
  85                    right  = value_at values i (j+1) k,
  86                    down   = value_at values i j (k-1),
  87                    top    = value_at values i j (k+1),
  88                    front_left = value_at values (i-1) (j-1) k,
  89                    front_right = value_at values (i-1) (j+1) k,
  90                    front_down =value_at values (i-1) j (k-1),
  91                    front_top = value_at values (i-1) j (k+1),
  92                    back_left = value_at values (i+1) (j-1) k,
  93                    back_right = value_at values (i+1) (j+1) k,
  94                    back_down = value_at values (i+1) j (k-1),
  95                    back_top = value_at values (i+1) j (k+1),
  96                    left_down = value_at values i (j-1) (k-1),
  97                    left_top = value_at values i (j-1) (k+1),
  98                    right_top = value_at values i (j+1) (k+1),
  99                    right_down = value_at values i (j+1) (k-1),
 100                    front_left_down = value_at values (i-1) (j-1) (k-1),
 101                    front_left_top = value_at values (i-1) (j-1) (k+1),
 102                    front_right_down = value_at values (i-1) (j+1) (k-1),
 103                    front_right_top = value_at values (i-1) (j+1) (k+1),
 104                    back_left_down = value_at values (i-1) (j-1) (k-1),
 105                    back_left_top = value_at values (i+1) (j-1) (k+1),
 106                    back_right_down = value_at values (i+1) (j+1) (k-1),
 107                    back_right_top = value_at values (i+1) (j+1) (k+1),
 108                    interior = value_at values i j k }
 109
 110 rotate :: FunctionValues -> (Cardinal -> Cardinal) -> FunctionValues
 111 rotate fv rotation =
 112     FunctionValues { front  = eval fv (rotation F),
 113                      back   = eval fv (rotation B),
 114                      left   = eval fv (rotation L),
 115                      right  = eval fv (rotation R),
 116                      down   = eval fv (rotation D),
 117                      top    = eval fv (rotation T),
 118                      front_left = eval fv (rotation FL),
 119                      front_right = eval fv (rotation FR),
 120                      front_down = eval fv (rotation FD),
 121                      front_top = eval fv (rotation FT),
 122                      back_left = eval fv (rotation BL),
 123                      back_right = eval fv (rotation BR),
 124                      back_down = eval fv (rotation BD),
 125                      back_top = eval fv (rotation BT),
 126                      left_down = eval fv (rotation LD),
 127                      left_top = eval fv (rotation LT),
 128                      right_down = eval fv (rotation RD),
 129                      right_top = eval fv (rotation RT),
 130                      front_left_down = eval fv (rotation FLD),
 131                      front_left_top = eval fv (rotation FLT),
 132                      front_right_down = eval fv (rotation FRD),
 133                      front_right_top = eval fv (rotation FRT),
 134                      back_left_down = eval fv (rotation BLD),
 135                      back_left_top = eval fv (rotation BLT),
 136                      back_right_down = eval fv (rotation BRD),
 137                      back_right_top = eval fv (rotation BRT),
 138                      interior = interior fv }