+-- The "value_at" function pattern matches on some integers, but
+-- doesn't handle the "otherwise" case, for performance reasons.
+{-# OPTIONS_GHC -Wno-incomplete-patterns #-}
+{-# LANGUAGE BangPatterns #-}
+
-- | The FunctionValues module contains the 'FunctionValues' type and
-- the functions used to manipulate it.
+--
module FunctionValues (
FunctionValues(..),
empty_values,
rotate,
function_values_tests,
function_values_properties,
- value_at
- )
+ value_at )
where
-import Prelude hiding (LT)
-import Test.HUnit (Assertion)
-import Test.Framework (Test, testGroup)
-import Test.Framework.Providers.HUnit (testCase)
-import Test.Framework.Providers.QuickCheck2 (testProperty)
-import Test.QuickCheck (Arbitrary(..), choose)
-
-import Assertions (assertTrue)
-import Cardinal ( Cardinal(..), cwx, cwy, cwz )
-import Examples (trilinear)
-import Values (Values3D, dims, idx)
+import Prelude(
+ Bool,
+ Double,
+ Eq( (==) ),
+ Fractional( (/) ),
+ Int,
+ Num( (+), (-), (*) ),
+ Ord ( (>=), (<) ),
+ Show,
+ (&&),
+ and,
+ not,
+ return )
+import Test.Tasty ( TestTree, testGroup )
+import Test.Tasty.HUnit ( Assertion, testCase )
+import Test.Tasty.QuickCheck ( Arbitrary( arbitrary ), choose, testProperty )
+
+import Assertions ( assertTrue )
+import Cardinal (
+ Cardinal(F, B, L, R, D, T, FL, FR, FD, FT, BL, BR, BD, BT, LD, LT, RD,
+ RT, FLD, FLT, FRD, FRT, BLD, BLT, BRD, BRT, I, Scalar, Sum,
+ Difference, Product, Quotient ),
+ cwx,
+ cwy,
+ cwz )
+import Examples ( trilinear )
+import Values ( Values3D, dims, idx )
-- | The FunctionValues type represents the value of our function f at
-- the 27 points surrounding (and including) the center of a
-- cube. Each value of f can be accessed by the name of its
-- direction.
+--
data FunctionValues =
- FunctionValues { front :: Double,
- back :: Double,
- left :: Double,
- right :: Double,
- top :: Double,
- down :: Double,
- front_left :: Double,
- front_right :: Double,
- front_down :: Double,
- front_top :: Double,
- back_left :: Double,
- back_right :: Double,
- back_down :: Double,
- back_top :: Double,
- left_down :: Double,
- left_top :: Double,
- right_down :: Double,
- right_top :: Double,
- front_left_down :: Double,
- front_left_top :: Double,
- front_right_down :: Double,
- front_right_top :: Double,
- back_left_down :: Double,
- back_left_top :: Double,
- back_right_down :: Double,
- back_right_top :: Double,
- interior :: Double }
+ FunctionValues { front :: !Double,
+ back :: !Double,
+ left :: !Double,
+ right :: !Double,
+ top :: !Double,
+ down :: !Double,
+ front_left :: !Double,
+ front_right :: !Double,
+ front_down :: !Double,
+ front_top :: !Double,
+ back_left :: !Double,
+ back_right :: !Double,
+ back_down :: !Double,
+ back_top :: !Double,
+ left_down :: !Double,
+ left_top :: !Double,
+ right_down :: !Double,
+ right_top :: !Double,
+ front_left_down :: !Double,
+ front_left_top :: !Double,
+ front_right_down :: !Double,
+ front_right_top :: !Double,
+ back_left_down :: !Double,
+ back_left_top :: !Double,
+ back_right_down :: !Double,
+ back_right_top :: !Double,
+ interior :: !Double }
deriving (Eq, Show)
-- 5.0
--
value_at :: Values3D -> Int -> Int -> Int -> Double
-value_at v3d i j k
+value_at v3d !i !j !k
-- Put the most common case first!
| (valid_i i) && (valid_j j) && (valid_k k) =
idx v3d i j k
2*(value_at v3d i j 0) - (value_at v3d i j 1)
else
2*(value_at v3d i j (k-1)) - (value_at v3d i j (k-2))
-
- | otherwise =
- let istr = show i
- jstr = show j
- kstr = show k
- coordstr = "(" ++ istr ++ "," ++ jstr ++ "," ++ kstr ++ ")"
- in
- error $ "value_at called outside of domain: " ++ coordstr
where
(dim_i, dim_j, dim_k) = dims v3d
-- coordinates (i,j,k), constructs and returns the 'FunctionValues'
-- object centered at (i,j,k)
make_values :: Values3D -> Int -> Int -> Int -> FunctionValues
-make_values values i j k =
+make_values values !i !j !k =
empty_values { front = value_at values (i-1) j k,
back = value_at values (i+1) j k,
left = value_at values i (j-1) k,
back_right_top fvs == 15]
-function_values_tests :: Test.Framework.Test
+function_values_tests :: TestTree
function_values_tests =
- testGroup "FunctionValues Tests"
+ testGroup "FunctionValues tests"
[ testCase "test directions" test_directions ]
expr2 = top fv1
-function_values_properties :: Test.Framework.Test
+function_values_properties :: TestTree
function_values_properties =
- let tp = testProperty
- in
- testGroup "FunctionValues Properties" [
- tp "x rotation doesn't affect front" prop_x_rotation_doesnt_affect_front,
- tp "x rotation doesn't affect back" prop_x_rotation_doesnt_affect_back,
- tp "y rotation doesn't affect left" prop_y_rotation_doesnt_affect_left,
- tp "y rotation doesn't affect right" prop_y_rotation_doesnt_affect_right,
- tp "z rotation doesn't affect top" prop_z_rotation_doesnt_affect_top,
- tp "z rotation doesn't affect down" prop_z_rotation_doesnt_affect_down ]
+ testGroup "FunctionValues properties" [
+ testProperty
+ "x rotation doesn't affect front"
+ prop_x_rotation_doesnt_affect_front,
+ testProperty
+ "x rotation doesn't affect back"
+ prop_x_rotation_doesnt_affect_back,
+ testProperty
+ "y rotation doesn't affect left"
+ prop_y_rotation_doesnt_affect_left,
+ testProperty
+ "y rotation doesn't affect right"
+ prop_y_rotation_doesnt_affect_right,
+ testProperty
+ "z rotation doesn't affect top"
+ prop_z_rotation_doesnt_affect_top,
+ testProperty
+ "z rotation doesn't affect down"
+ prop_z_rotation_doesnt_affect_down ]