X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTetrahedron.hs;h=8e9acd38c8b9a0b858f56287fc8aa0c637fd8beb;hb=d6dd574714648c0703175b5b2d3ccdd5198bb552;hp=2a4227a7f1bbee2d10a99baa66a07904e1e16c15;hpb=c02ac1bf9295e4ead58e9294af7f883a6fdcf119;p=spline3.git

diff --git a/src/Tetrahedron.hs b/src/Tetrahedron.hs
index 2a4227a..8e9acd3 100644
--- a/src/Tetrahedron.hs
+++ b/src/Tetrahedron.hs
@@ -1,4 +1,5 @@
 {-# LANGUAGE BangPatterns #-}
+
 module Tetrahedron (
   Tetrahedron(..),
   b0, -- Cube test
@@ -7,31 +8,25 @@ module Tetrahedron (
   b3, -- Cube test
   barycenter,
   c,
-  contains_point,
   polynomial,
   tetrahedron_properties,
   tetrahedron_tests,
-  volume -- Cube test
-  )
+  volume ) -- Cube test
 where
 
-import qualified Data.Vector as V (
-  singleton,
-  snoc,
-  sum
-  )
-
-import Test.Framework (Test, testGroup)
-import Test.Framework.Providers.HUnit (testCase)
-import Test.Framework.Providers.QuickCheck2 (testProperty)
+import Data.Vector ( singleton, snoc )
+import qualified Data.Vector as V ( sum )
+import Test.Framework ( Test, testGroup )
+import Test.Framework.Providers.HUnit ( testCase )
+import Test.Framework.Providers.QuickCheck2 ( testProperty )
 import Test.HUnit (Assertion, assertEqual)
-import Test.QuickCheck (Arbitrary(..), Gen, Property, (==>))
+import Test.QuickCheck ( Arbitrary(..), Gen, Property, (==>) )
 
-import Comparisons ((~=), nearly_ge)
-import FunctionValues (FunctionValues(..), empty_values)
-import Misc (factorial)
-import Point (Point(..), scale)
-import RealFunction (RealFunction, cmult, fexp)
+import Comparisons ( (~=) )
+import FunctionValues ( FunctionValues(..), empty_values )
+import Misc ( factorial )
+import Point ( Point(..), scale )
+import RealFunction ( RealFunction, cmult, fexp )
 
 data Tetrahedron =
   Tetrahedron { function_values :: FunctionValues,
@@ -74,57 +69,30 @@ barycenter :: Tetrahedron -> Point
 barycenter (Tetrahedron _ v0' v1' v2' v3' _) =
   (v0' + v1' + v2' + v3') `scale` (1/4)
 
--- | A point is internal to a tetrahedron if all of its barycentric
---   coordinates with respect to that tetrahedron are non-negative.
-contains_point :: Tetrahedron -> Point -> Bool
-contains_point t p0 =
-  b0_unscaled `nearly_ge` 0 &&
-  b1_unscaled `nearly_ge` 0 &&
-  b2_unscaled `nearly_ge` 0 &&
-  b3_unscaled `nearly_ge` 0
-  where
-    -- Drop the useless division and volume calculation that we
-    -- would do if we used the regular b0,..b3 functions.
-    b0_unscaled :: Double
-    b0_unscaled = volume inner_tetrahedron
-      where
-        inner_tetrahedron = t { v0 = p0 }
-
-    b1_unscaled :: Double
-    b1_unscaled = volume inner_tetrahedron
-      where inner_tetrahedron = t { v1 = p0 }
-
-    b2_unscaled :: Double
-    b2_unscaled = volume inner_tetrahedron
-      where inner_tetrahedron = t { v2 = p0 }
-
-    b3_unscaled :: Double
-    b3_unscaled = volume inner_tetrahedron
-      where inner_tetrahedron = t { v3 = p0 }
 
 
 {-# INLINE polynomial #-}
 polynomial :: Tetrahedron -> (RealFunction Point)
 polynomial t =
-    V.sum $ V.singleton ((c t 0 0 0 3) `cmult` (beta t 0 0 0 3)) `V.snoc`
-            ((c t 0 0 1 2) `cmult` (beta t 0 0 1 2)) `V.snoc`
-            ((c t 0 0 2 1) `cmult` (beta t 0 0 2 1)) `V.snoc`
-            ((c t 0 0 3 0) `cmult` (beta t 0 0 3 0)) `V.snoc`
-            ((c t 0 1 0 2) `cmult` (beta t 0 1 0 2)) `V.snoc`
-            ((c t 0 1 1 1) `cmult` (beta t 0 1 1 1)) `V.snoc`
-            ((c t 0 1 2 0) `cmult` (beta t 0 1 2 0)) `V.snoc`
-            ((c t 0 2 0 1) `cmult` (beta t 0 2 0 1)) `V.snoc`
-            ((c t 0 2 1 0) `cmult` (beta t 0 2 1 0)) `V.snoc`
-            ((c t 0 3 0 0) `cmult` (beta t 0 3 0 0)) `V.snoc`
-            ((c t 1 0 0 2) `cmult` (beta t 1 0 0 2)) `V.snoc`
-            ((c t 1 0 1 1) `cmult` (beta t 1 0 1 1)) `V.snoc`
-            ((c t 1 0 2 0) `cmult` (beta t 1 0 2 0)) `V.snoc`
-            ((c t 1 1 0 1) `cmult` (beta t 1 1 0 1)) `V.snoc`
-            ((c t 1 1 1 0) `cmult` (beta t 1 1 1 0)) `V.snoc`
-            ((c t 1 2 0 0) `cmult` (beta t 1 2 0 0)) `V.snoc`
-            ((c t 2 0 0 1) `cmult` (beta t 2 0 0 1)) `V.snoc`
-            ((c t 2 0 1 0) `cmult` (beta t 2 0 1 0)) `V.snoc`
-            ((c t 2 1 0 0) `cmult` (beta t 2 1 0 0)) `V.snoc`
+    V.sum $ singleton ((c t 0 0 0 3) `cmult` (beta t 0 0 0 3)) `snoc`
+            ((c t 0 0 1 2) `cmult` (beta t 0 0 1 2)) `snoc`
+            ((c t 0 0 2 1) `cmult` (beta t 0 0 2 1)) `snoc`
+            ((c t 0 0 3 0) `cmult` (beta t 0 0 3 0)) `snoc`
+            ((c t 0 1 0 2) `cmult` (beta t 0 1 0 2)) `snoc`
+            ((c t 0 1 1 1) `cmult` (beta t 0 1 1 1)) `snoc`
+            ((c t 0 1 2 0) `cmult` (beta t 0 1 2 0)) `snoc`
+            ((c t 0 2 0 1) `cmult` (beta t 0 2 0 1)) `snoc`
+            ((c t 0 2 1 0) `cmult` (beta t 0 2 1 0)) `snoc`
+            ((c t 0 3 0 0) `cmult` (beta t 0 3 0 0)) `snoc`
+            ((c t 1 0 0 2) `cmult` (beta t 1 0 0 2)) `snoc`
+            ((c t 1 0 1 1) `cmult` (beta t 1 0 1 1)) `snoc`
+            ((c t 1 0 2 0) `cmult` (beta t 1 0 2 0)) `snoc`
+            ((c t 1 1 0 1) `cmult` (beta t 1 1 0 1)) `snoc`
+            ((c t 1 1 1 0) `cmult` (beta t 1 1 1 0)) `snoc`
+            ((c t 1 2 0 0) `cmult` (beta t 1 2 0 0)) `snoc`
+            ((c t 2 0 0 1) `cmult` (beta t 2 0 0 1)) `snoc`
+            ((c t 2 0 1 0) `cmult` (beta t 2 0 1 0)) `snoc`
+            ((c t 2 1 0 0) `cmult` (beta t 2 1 0 0)) `snoc`
             ((c t 3 0 0 0) `cmult` (beta t 3 0 0 0))
 
 
@@ -350,18 +318,13 @@ b3 t point = (volume inner_tetrahedron) / (precomputed_volume t)
 
 
 
--- Tests
-
-
 -- | Check the volume of a particular tetrahedron (computed by hand)
---   and whether or not it contains a specific point chosen to be
---   outside of it. Its vertices are in clockwise order, so the volume
---   should be negative.
+--   Its vertices are in clockwise order, so the volume should be
+--   negative.
 tetrahedron1_geometry_tests :: Test.Framework.Test
 tetrahedron1_geometry_tests =
   testGroup "tetrahedron1 geometry"
-              [ testCase "volume1" volume1,
-                testCase "doesn't contain point1" doesnt_contain_point1]
+              [ testCase "volume1" volume1 ]
   where
     p0 = Point 0 (-0.5) 0
     p1 = Point 0 0.5 0
@@ -380,23 +343,14 @@ tetrahedron1_geometry_tests =
       where
         vol = volume t
 
-    doesnt_contain_point1 :: Assertion
-    doesnt_contain_point1 =
-      assertEqual "doesn't contain an exterior point" False contained
-      where
-        exterior_point = Point 5 2 (-9.0212)
-        contained = contains_point t exterior_point
-
 
 -- | Check the volume of a particular tetrahedron (computed by hand)
---   and whether or not it contains a specific point chosen to be
---   inside of it. Its vertices are in counter-clockwise order, so the
---   volume should be positive.
+--   Its vertices are in counter-clockwise order, so the volume should
+--   be positive.
 tetrahedron2_geometry_tests :: Test.Framework.Test
 tetrahedron2_geometry_tests =
   testGroup "tetrahedron2 geometry"
-              [ testCase "volume1" volume1,
-                testCase "contains point1" contains_point1]
+              [ testCase "volume1" volume1 ]
   where
     p0 = Point 0 (-0.5) 0
     p1 = Point 2 0 0
@@ -414,85 +368,6 @@ tetrahedron2_geometry_tests =
       where
         vol = volume t
 
-    contains_point1 :: Assertion
-    contains_point1 = assertEqual "contains an inner point" True contained
-        where
-          inner_point = Point 1 0 0.5
-          contained = contains_point t inner_point
-
-
--- | Ensure that tetrahedra do not contain a particular point chosen to
---   be outside of them.
-containment_tests :: Test.Framework.Test
-containment_tests =
-  testGroup "containment tests"
-              [ testCase "doesn't contain point2" doesnt_contain_point2,
-                testCase "doesn't contain point3" doesnt_contain_point3,
-                testCase "doesn't contain point4" doesnt_contain_point4,
-                testCase "doesn't contain point5" doesnt_contain_point5]
-  where
-    p2 = Point 0.5 0.5 1
-    p3 = Point 0.5 0.5 0.5
-    exterior_point = Point 0 0 0
-
-    doesnt_contain_point2 :: Assertion
-    doesnt_contain_point2 =
-      assertEqual "doesn't contain an exterior point" False contained
-      where
-        p0 = Point 0 1 1
-        p1 = Point 1 1 1
-        t = Tetrahedron { v0 = p0,
-                          v1 = p1,
-                          v2 = p2,
-                          v3 = p3,
-                          function_values = empty_values,
-                          precomputed_volume = 0 }
-        contained = contains_point t exterior_point
-
-
-    doesnt_contain_point3 :: Assertion
-    doesnt_contain_point3 =
-      assertEqual "doesn't contain an exterior point" False contained
-      where
-        p0 = Point 1 1 1
-        p1 = Point 1 0 1
-        t = Tetrahedron { v0 = p0,
-                          v1 = p1,
-                          v2 = p2,
-                          v3 = p3,
-                          function_values = empty_values,
-                          precomputed_volume = 0 }
-        contained = contains_point t exterior_point
-
-
-    doesnt_contain_point4 :: Assertion
-    doesnt_contain_point4 =
-      assertEqual "doesn't contain an exterior point" False contained
-      where
-        p0 = Point 1 0 1
-        p1 = Point 0 0 1
-        t = Tetrahedron { v0 = p0,
-                          v1 = p1,
-                          v2 = p2,
-                          v3 = p3,
-                          function_values = empty_values,
-                          precomputed_volume = 0 }
-        contained = contains_point t exterior_point
-
-
-    doesnt_contain_point5 :: Assertion
-    doesnt_contain_point5 =
-      assertEqual "doesn't contain an exterior point" False contained
-      where
-        p0 = Point 0 0 1
-        p1 = Point 0 1 1
-        t = Tetrahedron { v0 = p0,
-                          v1 = p1,
-                          v2 = p2,
-                          v3 = p3,
-                          function_values = empty_values,
-                          precomputed_volume = 0 }
-        contained = contains_point t exterior_point
 
 
 -- | The barycentric coordinate of v0 with respect to itself should
@@ -623,8 +498,7 @@ tetrahedron_tests :: Test.Framework.Test
 tetrahedron_tests =
     testGroup "Tetrahedron Tests" [
       tetrahedron1_geometry_tests,
-      tetrahedron2_geometry_tests,
-      containment_tests ]
+      tetrahedron2_geometry_tests ]
 
 
 
@@ -702,11 +576,11 @@ tetrahedron_properties =
     testProperty "b3_v0_always_zero" prop_b3_v0_always_zero,
     testProperty "b3_v1_always_zero" prop_b3_v1_always_zero,
     testProperty "b3_v2_always_zero" prop_b3_v2_always_zero,
-    testProperty "swapping_vertices_doesnt_affect_coefficients1" $
+    testProperty "swapping_vertices_doesnt_affect_coefficients1"
       prop_swapping_vertices_doesnt_affect_coefficients1,
-    testProperty "swapping_vertices_doesnt_affect_coefficients2" $
+    testProperty "swapping_vertices_doesnt_affect_coefficients2"
       prop_swapping_vertices_doesnt_affect_coefficients2,
-    testProperty "swapping_vertices_doesnt_affect_coefficients3" $
+    testProperty "swapping_vertices_doesnt_affect_coefficients3"
       prop_swapping_vertices_doesnt_affect_coefficients3,
-    testProperty "swapping_vertices_doesnt_affect_coefficients4" $
+    testProperty "swapping_vertices_doesnt_affect_coefficients4"
       prop_swapping_vertices_doesnt_affect_coefficients4 ]