module Tests.Grid
where
-import Data.Maybe (fromJust)
import Test.HUnit
import Assertions
import Examples
import FunctionValues (value_at)
import Grid
+import Point (Point)
import Tetrahedron
+import ThreeDimensional
-- | Check the value of c0030 for tetrahedron0 belonging to the
assertAlmostEqual "c0030 is correct" (c t 0 0 3 0) (17/8)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0003 is correct" (c t 0 0 0 3) (27/8)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0021 is correct" (c t 0 0 2 1) (61/24)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0012 is correct" (c t 0 0 1 2) (71/24)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0120 is correct" (c t 0 1 2 0) (55/24)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0102 is correct" (c t 0 1 0 2) (73/24)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0111 is correct" (c t 0 1 1 1) (8/3)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0210 is correct" (c t 0 2 1 0) (29/12)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0201 is correct" (c t 0 2 0 1) (11/4)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c0300 is correct" (c t 0 3 0 0) (5/2)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c1020 is correct" (c t 1 0 2 0) (8/3)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c1002 is correct" (c t 1 0 0 2) (23/6)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c1011 is correct" (c t 1 0 1 1) (13/4)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c1110 is correct" (c t 1 1 1 0) (23/8)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c1101 is correct" (c t 1 1 0 1) (27/8)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c1200 is correct" (c t 1 2 0 0) 3
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c2010 is correct" (c t 2 0 1 0) (10/3)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c2001 is correct" (c t 2 0 0 1) 4
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c2100 is correct" (c t 2 1 0 0) (7/2)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertAlmostEqual "c3000 is correct" (c t 3 0 0 0) 4
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertEqual "v0 is correct" (v0 t) (1, 1, 1)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertEqual "v1 is correct" (v1 t) (0.5, 1, 1)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertEqual "v2 is correct" (v2 t) (0.5, 0.5, 1.5)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
assertClose "v3 is correct" (v3 t) (0.5, 1.5, 1.5)
where
g = make_grid 1 trilinear
- cube = fromJust $ cube_at g 1 1 1
+ cube = cube_at g 1 1 1
t = tetrahedron0 cube
-test_trilinear_reproduced_t0 :: Assertion
-test_trilinear_reproduced_t0 =
+test_trilinear_reproduced :: Assertion
+test_trilinear_reproduced =
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],
+ t <- tetrahedra c0,
+ let p = polynomial t,
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
- 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
+ c0 = cube_at g 1 1 1
test_zeros_reproduced :: Assertion
let k' = fromIntegral k]
where
g = make_grid 1 zeros
- c0 = fromJust $ cube_at g 1 1 1
+ c0 = 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
+test_trilinear9x9x9_reproduced :: Assertion
+test_trilinear9x9x9_reproduced =
+ assertTrue "trilinear 9x9x9 is reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear9x9x9 i j k
| i <- [0..8],
j <- [0..8],
k <- [0..8],
+ t <- tetrahedra c0,
+ let p = polynomial t,
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
+ c0 = cube_at g 1 1 1
+
+
+-- | The point 'p' in this test lies on the boundary of tetrahedra 12 and 15.
+-- However, the 'contains_point' test fails due to some numerical innacuracy.
+-- This bug should have been fixed by setting a positive tolerance level.
+--
+-- Example from before the fix:
+--
+-- > b0 (tetrahedron12 c) p
+-- -2.168404344971019e-18
+-- > b0 (tetrahedron15 c) p
+-- -3.4694469519536365e-18
+--
+test_tetrahedra_collision_sensitivity :: Assertion
+test_tetrahedra_collision_sensitivity =
+ assertTrue "tetrahedron collision tests aren't too sensitive" $
+ contains_point t12 p &&
+ contains_point t15 p
+ where
+ g = make_grid 1 trilinear
+ c = cube_at g 0 17 1
+ p = (0, 16.75, 0.5) :: Point
+ t12 = tetrahedron12 c
+ t15 = tetrahedron15 c
projects / spline3.git / blobdiff