-- for it. We hide the main Grid constructor because we don't want
-- to allow instantiation of a grid with h <= 0.
module Grid (
+ cube_at,
grid_tests,
make_grid,
slow_tests,
- zoom
+ zoom,
+ zoom_chunk
)
where
import Cube (Cube(Cube),
find_containing_tetrahedron,
tetrahedra,
- tetrahedron0,
- tetrahedron15)
+ tetrahedron)
import Examples
import FunctionValues
import Point (Point)
import ScaleFactor
-import Tetrahedron (c, polynomial, v0, v1, v2, v3)
+import Tetrahedron (Tetrahedron, c, polynomial, v0, v1, v2, v3)
import ThreeDimensional
import Values (Values3D, dims, empty3d, zoom_shape)
j <- [0..ymax],
k <- [0..zmax],
let tet_vol = (1/24)*(delta^(3::Int)),
+ let fvs' = make_values fvs i j k,
let cube_ijk =
- Cube delta i j k (make_values fvs i j k) tet_vol]
+ Cube delta i j k fvs' tet_vol]
where
xmax = xsize - 1
ymax = ysize - 1
{-# INLINE zoom_lookup #-}
zoom_lookup :: Grid -> ScaleFactor -> a -> (R.DIM3 -> Double)
-zoom_lookup g scale_factor _ = zoom_result g scale_factor
+zoom_lookup g scale_factor _ =
+ zoom_result g scale_factor
{-# INLINE zoom_result #-}
zoom_result :: Grid -> ScaleFactor -> R.DIM3 -> Double
-zoom_result g (sfx, sfy, sfz) (R.Z R.:. i R.:. j R.:. k) =
+zoom_result g (sfx, sfy, sfz) (R.Z R.:. m R.:. n R.:. o) =
f p
where
offset = (h g)/2
- i' = (fromIntegral i) / (fromIntegral sfx) - offset
- j' = (fromIntegral j) / (fromIntegral sfy) - offset
- k' = (fromIntegral k) / (fromIntegral sfz) - offset
- p = (i', j', k') :: Point
+ m' = (fromIntegral m) / (fromIntegral sfx) - offset
+ n' = (fromIntegral n) / (fromIntegral sfy) - offset
+ o' = (fromIntegral o) / (fromIntegral sfz) - offset
+ p = (m', n', o') :: Point
cube = find_containing_cube g p
t = find_containing_tetrahedron cube p
f = polynomial t
zoom g scale_factor
| xsize == 0 || ysize == 0 || zsize == 0 = empty3d
| otherwise =
- R.force $ R.traverse arr transExtent (zoom_lookup g scale_factor)
+ R.force $ R.unsafeTraverse arr transExtent (zoom_lookup g scale_factor)
where
arr = function_values g
(xsize, ysize, zsize) = dims arr
+{-# INLINE zoom_chunk_lookup #-}
+zoom_chunk_lookup :: Grid -> ScaleFactor -> a -> (R.DIM3 -> Double)
+zoom_chunk_lookup g scale_factor _ =
+ zoom_chunk_result g scale_factor
+
+
+{-# INLINE zoom_chunk_result #-}
+zoom_chunk_result :: Grid -> ScaleFactor -> R.DIM3 -> Double
+zoom_chunk_result g (sfx, sfy, sfz) (R.Z R.:. m R.:. n R.:. o)
+ | m /= 1 = 0 -- We're going to drop these anyway.
+ | otherwise = f p
+ where
+ offset = (h g)/2
+ sfx' = fromIntegral sfx
+ sfy' = fromIntegral sfy
+ sfz' = fromIntegral sfz
+ m' = (fromIntegral m) / sfx' - offset
+ n' = (fromIntegral n) / sfy' - offset
+ o' = (fromIntegral o) / sfz' - offset
+ p = (m', n', o') :: Point
+ cube = find_containing_cube g p
+ t = find_containing_tetrahedron cube p
+ f = polynomial t
+
+
+zoom_chunk :: Grid -> ScaleFactor -> Values3D
+zoom_chunk g scale_factor
+ | xsize == 0 || ysize == 0 || zsize == 0 = empty3d
+ | otherwise =
+ R.force $ R.unsafeTraverse arr transExtent (zoom_chunk_lookup g scale_factor)
+ where
+ arr = function_values g
+ (xsize, ysize, zsize) = dims arr
+ transExtent = zoom_shape scale_factor
+
+
+
-- | Check all coefficients of tetrahedron0 belonging to the cube
-- centered on (1,1,1) with a grid constructed from the trilinear
-- values. See example one in the paper.
where
g = make_grid 1 trilinear
cube = cube_at g 1 1 1
- t = tetrahedron0 cube
+ t = tetrahedron cube 0
test_trilinear_c0030 :: Assertion
test_trilinear_c0030 =
where
g = make_grid 1 zeros
c0 = cube_at g 1 1 1
- t0 = tetrahedron0 c0
+ t0 = tetrahedron c0 0
p = polynomial t0
--
-- Example from before the fix:
--
--- > b0 (tetrahedron15 c) p
--- -3.4694469519536365e-18
+-- b1 (tetrahedron c 20) (0, 17.5, 0.5)
+-- -0.0
--
test_tetrahedra_collision_sensitivity :: Assertion
test_tetrahedra_collision_sensitivity =
assertTrue "tetrahedron collision tests isn't too sensitive" $
- contains_point t15 p
+ contains_point t20 p
where
g = make_grid 1 naturals_1d
- cube = cube_at g 0 17 1
- p = (0, 16.75, 0.5) :: Point
- t15 = tetrahedron15 cube
+ cube = cube_at g 0 18 0
+ p = (0, 17.5, 0.5) :: Point
+ t20 = tetrahedron cube 20
prop_cube_indices_never_go_out_of_bounds :: Grid -> Gen Bool