import Data.Maybe (fromJust)
import Test.HUnit
-import Test.QuickCheck
import Assertions
import Comparisons
-import Cube
+import Cube hiding (i, j, k)
import Examples
import FunctionValues (value_at)
import Grid
import Tetrahedron
-instance Arbitrary Grid where
- arbitrary = do
- (Positive h') <- arbitrary :: Gen (Positive Double)
- fvs <- arbitrary :: Gen [[[Double]]]
- return (make_grid h' fvs)
-
-
-- | Check the value of c0030 for tetrahedron0 belonging to the
-- cube centered on (1,1,1) with a grid constructed from the
-- trilinear values. See example one in the paper.
t = tetrahedron0 cube
-test_trilinear_reproduced :: Assertion
-test_trilinear_reproduced =
+test_trilinear_reproduced_t0 :: Assertion
+test_trilinear_reproduced_t0 =
assertTrue "trilinears are reproduced correctly" $
and [p (i', j', k') ~= value_at trilinear i j k
| i <- [0..2],
t0 = tetrahedron0 c0
p = polynomial t0
+test_trilinear_reproduced_t1 :: Assertion
+test_trilinear_reproduced_t1 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t1 = tetrahedron1 c0
+ p = polynomial t1
+
+test_trilinear_reproduced_t2 :: Assertion
+test_trilinear_reproduced_t2 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t2 = tetrahedron2 c0
+ p = polynomial t2
+
+test_trilinear_reproduced_t3 :: Assertion
+test_trilinear_reproduced_t3 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t3 = tetrahedron3 c0
+ p = polynomial t3
+
+test_trilinear_reproduced_t4 :: Assertion
+test_trilinear_reproduced_t4 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t4 = tetrahedron4 c0
+ p = polynomial t4
+
+test_trilinear_reproduced_t5 :: Assertion
+test_trilinear_reproduced_t5 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t5 = tetrahedron5 c0
+ p = polynomial t5
+
+test_trilinear_reproduced_t6 :: Assertion
+test_trilinear_reproduced_t6 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t6 = tetrahedron6 c0
+ p = polynomial t6
+
+test_trilinear_reproduced_t7 :: Assertion
+test_trilinear_reproduced_t7 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t7 = tetrahedron7 c0
+ p = polynomial t7
+
+test_trilinear_reproduced_t8 :: Assertion
+test_trilinear_reproduced_t8 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t8 = tetrahedron8 c0
+ p = polynomial t8
+
+test_trilinear_reproduced_t9 :: Assertion
+test_trilinear_reproduced_t9 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t9 = tetrahedron9 c0
+ p = polynomial t9
+
+test_trilinear_reproduced_t10 :: Assertion
+test_trilinear_reproduced_t10 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t10 = tetrahedron10 c0
+ p = polynomial t10
+
+test_trilinear_reproduced_t11 :: Assertion
+test_trilinear_reproduced_t11 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t11 = tetrahedron11 c0
+ p = polynomial t11
+
+test_trilinear_reproduced_t12 :: Assertion
+test_trilinear_reproduced_t12 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t12 = tetrahedron12 c0
+ p = polynomial t12
+
+test_trilinear_reproduced_t13 :: Assertion
+test_trilinear_reproduced_t13 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t13 = tetrahedron13 c0
+ p = polynomial t13
+
+
+test_trilinear_reproduced_t14 :: Assertion
+test_trilinear_reproduced_t14 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t14 = tetrahedron14 c0
+ p = polynomial t14
+
+test_trilinear_reproduced_t15 :: Assertion
+test_trilinear_reproduced_t15 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t15 = tetrahedron15 c0
+ p = polynomial t15
+
+test_trilinear_reproduced_t16 :: Assertion
+test_trilinear_reproduced_t16 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t16 = tetrahedron16 c0
+ p = polynomial t16
+
+test_trilinear_reproduced_t17 :: Assertion
+test_trilinear_reproduced_t17 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t17 = tetrahedron17 c0
+ p = polynomial t17
+
+test_trilinear_reproduced_t18 :: Assertion
+test_trilinear_reproduced_t18 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t18 = tetrahedron18 c0
+ p = polynomial t18
+
+test_trilinear_reproduced_t19 :: Assertion
+test_trilinear_reproduced_t19 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t19 = tetrahedron19 c0
+ p = polynomial t19
+
+test_trilinear_reproduced_t20 :: Assertion
+test_trilinear_reproduced_t20 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t20 = tetrahedron20 c0
+ p = polynomial t20
+
+
+test_trilinear_reproduced_t21 :: Assertion
+test_trilinear_reproduced_t21 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t21 = tetrahedron21 c0
+ p = polynomial t21
+
+test_trilinear_reproduced_t22 :: Assertion
+test_trilinear_reproduced_t22 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t22 = tetrahedron22 c0
+ p = polynomial t22
+
+
+test_trilinear_reproduced_t23 :: Assertion
+test_trilinear_reproduced_t23 =
+ assertTrue "trilinears are reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear i j k
+ | i <- [0..2],
+ j <- [0..2],
+ k <- [0..2],
+ let i' = fromIntegral i,
+ let j' = fromIntegral j,
+ let k' = fromIntegral k]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t19 = tetrahedron19 c0
+ p = polynomial t19
+
test_zeros_reproduced :: Assertion
test_zeros_reproduced =
c0 = fromJust $ cube_at g 1 1 1
t0 = tetrahedron0 c0
p = polynomial t0
+
+
+-- | Make sure we can reproduce a 9x9x9 trilinear from the 3x3x3 one.
+test_trilinearx2_reproduced_t0 :: Assertion
+test_trilinearx2_reproduced_t0 =
+ assertTrue "trilinearx2 is reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinearx2 i j k
+ | i <- [0..8],
+ j <- [0..8],
+ k <- [0..8],
+ let i' = (fromIntegral i) * 0.5,
+ let j' = (fromIntegral j) * 0.5,
+ let k' = (fromIntegral k) * 0.5]
+ where
+ g = make_grid 1 trilinear
+ c0 = fromJust $ cube_at g 1 1 1
+ t0 = tetrahedron0 c0
+ p = polynomial t0
projects / spline3.git / blobdiff