From: Michael Orlitzky <michael@orlitzky.com>
Date: Fri, 10 Jun 2011 18:57:32 +0000 (-0400)
Subject: Add a bunch more exact volume tests.
X-Git-Tag: 0.0.1~280
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=a032d4426427de084931d194248f4086b12c11ce;p=spline3.git

Add a bunch more exact volume tests.
Use the kinda_equals comparison in exact volume tests.
---

diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs
index dac4f80..11df961 100644
--- a/src/Tests/Cube.hs
+++ b/src/Tests/Cube.hs
@@ -44,16 +44,17 @@ prop_all_volumes_positive cube =
 --   we'd expect the volume of each one to be (1/24)*h^3.
 prop_tetrahedron0_volumes_exact :: Cube -> Bool
 prop_tetrahedron0_volumes_exact cube =
-    volume (tetrahedron0 cube) ~= (1/24)*(delta^(3::Int))
+    volume (tetrahedron0 cube) ~~= (1/24)*(delta^(3::Int))
     where
       delta = h cube
 
+
 -- | In fact, since all of the tetrahedra are identical, we should
 --   already know their volumes. There's 24 tetrahedra to a cube, so
 --   we'd expect the volume of each one to be (1/24)*h^3.
 prop_tetrahedron1_volumes_exact :: Cube -> Bool
 prop_tetrahedron1_volumes_exact cube =
-    volume (tetrahedron1 cube) ~= (1/24)*(delta^(3::Int))
+    volume (tetrahedron1 cube) ~~= (1/24)*(delta^(3::Int))
     where
       delta = h cube
 
@@ -62,7 +63,7 @@ prop_tetrahedron1_volumes_exact cube =
 --   we'd expect the volume of each one to be (1/24)*h^3.
 prop_tetrahedron2_volumes_exact :: Cube -> Bool
 prop_tetrahedron2_volumes_exact cube =
-    volume (tetrahedron2 cube) ~= (1/24)*(delta^(3::Int))
+    volume (tetrahedron2 cube) ~~= (1/24)*(delta^(3::Int))
     where
       delta = h cube
 
@@ -71,7 +72,7 @@ prop_tetrahedron2_volumes_exact cube =
 --   we'd expect the volume of each one to be (1/24)*h^3.
 prop_tetrahedron3_volumes_exact :: Cube -> Bool
 prop_tetrahedron3_volumes_exact cube =
-    volume (tetrahedron3 cube) ~= (1/24)*(delta^(3::Int))
+    volume (tetrahedron3 cube) ~~= (1/24)*(delta^(3::Int))
     where
       delta = h cube
 
@@ -80,7 +81,7 @@ prop_tetrahedron3_volumes_exact cube =
 --   we'd expect the volume of each one to be (1/24)*h^3.
 prop_tetrahedron4_volumes_exact :: Cube -> Bool
 prop_tetrahedron4_volumes_exact cube =
-    volume (tetrahedron4 cube) ~= (1/24)*(delta^(3::Int))
+    volume (tetrahedron4 cube) ~~= (1/24)*(delta^(3::Int))
     where
       delta = h cube
 
@@ -89,7 +90,7 @@ prop_tetrahedron4_volumes_exact cube =
 --   we'd expect the volume of each one to be (1/24)*h^3.
 prop_tetrahedron5_volumes_exact :: Cube -> Bool
 prop_tetrahedron5_volumes_exact cube =
-    volume (tetrahedron5 cube) ~= (1/24)*(delta^(3::Int))
+    volume (tetrahedron5 cube) ~~= (1/24)*(delta^(3::Int))
     where
       delta = h cube
 
@@ -98,7 +99,7 @@ prop_tetrahedron5_volumes_exact cube =
 --   we'd expect the volume of each one to be (1/24)*h^3.
 prop_tetrahedron6_volumes_exact :: Cube -> Bool
 prop_tetrahedron6_volumes_exact cube =
-    volume (tetrahedron6 cube) ~= (1/24)*(delta^(3::Int))
+    volume (tetrahedron6 cube) ~~= (1/24)*(delta^(3::Int))
     where
       delta = h cube
 
@@ -107,7 +108,151 @@ prop_tetrahedron6_volumes_exact cube =
 --   we'd expect the volume of each one to be (1/24)*h^3.
 prop_tetrahedron7_volumes_exact :: Cube -> Bool
 prop_tetrahedron7_volumes_exact cube =
-    volume (tetrahedron7 cube) ~= (1/24)*(delta^(3::Int))
+    volume (tetrahedron7 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron8_volumes_exact :: Cube -> Bool
+prop_tetrahedron8_volumes_exact cube =
+    volume (tetrahedron8 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron9_volumes_exact :: Cube -> Bool
+prop_tetrahedron9_volumes_exact cube =
+    volume (tetrahedron9 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron10_volumes_exact :: Cube -> Bool
+prop_tetrahedron10_volumes_exact cube =
+    volume (tetrahedron10 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron11_volumes_exact :: Cube -> Bool
+prop_tetrahedron11_volumes_exact cube =
+    volume (tetrahedron11 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron12_volumes_exact :: Cube -> Bool
+prop_tetrahedron12_volumes_exact cube =
+    volume (tetrahedron12 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron13_volumes_exact :: Cube -> Bool
+prop_tetrahedron13_volumes_exact cube =
+    volume (tetrahedron13 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron14_volumes_exact :: Cube -> Bool
+prop_tetrahedron14_volumes_exact cube =
+    volume (tetrahedron14 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron15_volumes_exact :: Cube -> Bool
+prop_tetrahedron15_volumes_exact cube =
+    volume (tetrahedron15 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron16_volumes_exact :: Cube -> Bool
+prop_tetrahedron16_volumes_exact cube =
+    volume (tetrahedron16 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron17_volumes_exact :: Cube -> Bool
+prop_tetrahedron17_volumes_exact cube =
+    volume (tetrahedron17 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron18_volumes_exact :: Cube -> Bool
+prop_tetrahedron18_volumes_exact cube =
+    volume (tetrahedron18 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron19_volumes_exact :: Cube -> Bool
+prop_tetrahedron19_volumes_exact cube =
+    volume (tetrahedron19 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron20_volumes_exact :: Cube -> Bool
+prop_tetrahedron20_volumes_exact cube =
+    volume (tetrahedron20 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron21_volumes_exact :: Cube -> Bool
+prop_tetrahedron21_volumes_exact cube =
+    volume (tetrahedron21 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron22_volumes_exact :: Cube -> Bool
+prop_tetrahedron22_volumes_exact cube =
+    volume (tetrahedron22 cube) ~~= (1/24)*(delta^(3::Int))
+    where
+      delta = h cube
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron23_volumes_exact :: Cube -> Bool
+prop_tetrahedron23_volumes_exact cube =
+    volume (tetrahedron23 cube) ~~= (1/24)*(delta^(3::Int))
     where
       delta = h cube
 
diff --git a/test/TestSuite.hs b/test/TestSuite.hs
index e2fe52e..abed470 100644
--- a/test/TestSuite.hs
+++ b/test/TestSuite.hs
@@ -35,32 +35,80 @@ main = do
   putStr "prop_all_volumes_positive... "
   quickCheckWith qc_args prop_all_volumes_positive
 
-  -- putStr "prop_tetrahedron0_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron0_volumes_exact
+  putStr "prop_tetrahedron0_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron0_volumes_exact
 
-  -- putStr "prop_tetrahedron1_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron1_volumes_exact
+  putStr "prop_tetrahedron1_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron1_volumes_exact
 
-  -- putStr "prop_tetrahedron2_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron2_volumes_exact
+  putStr "prop_tetrahedron2_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron2_volumes_exact
 
-  -- putStr "prop_tetrahedron3_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron3_volumes_exact
+  putStr "prop_tetrahedron3_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron3_volumes_exact
 
-  -- putStr "prop_tetrahedron4_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron4_volumes_exact
+  putStr "prop_tetrahedron4_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron4_volumes_exact
 
-  -- putStr "prop_tetrahedron4_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron4_volumes_exact
+  putStr "prop_tetrahedron4_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron4_volumes_exact
 
-  -- putStr "prop_tetrahedron5_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron5_volumes_exact
+  putStr "prop_tetrahedron5_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron5_volumes_exact
 
-  -- putStr "prop_tetrahedron6_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron6_volumes_exact
+  putStr "prop_tetrahedron6_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron6_volumes_exact
 
-  -- putStr "prop_tetrahedron7_volumes_exact... "
-  -- quickCheckWith qc_args prop_tetrahedron7_volumes_exact
+  putStr "prop_tetrahedron7_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron7_volumes_exact
+
+  putStr "prop_tetrahedron8_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron8_volumes_exact
+
+  putStr "prop_tetrahedron9_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron9_volumes_exact
+
+  putStr "prop_tetrahedron10_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron10_volumes_exact
+
+  putStr "prop_tetrahedron11_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron11_volumes_exact
+
+  putStr "prop_tetrahedron12_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron12_volumes_exact
+
+  putStr "prop_tetrahedron13_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron13_volumes_exact
+
+  putStr "prop_tetrahedron14_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron14_volumes_exact
+
+  putStr "prop_tetrahedron15_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron15_volumes_exact
+
+  putStr "prop_tetrahedron16_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron16_volumes_exact
+
+  putStr "prop_tetrahedron17_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron17_volumes_exact
+
+  putStr "prop_tetrahedron18_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron18_volumes_exact
+
+  putStr "prop_tetrahedron19_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron19_volumes_exact
+
+  putStr "prop_tetrahedron20_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron20_volumes_exact
+
+  putStr "prop_tetrahedron21_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron21_volumes_exact
+
+  putStr "prop_tetrahedron22_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron22_volumes_exact
+
+  putStr "prop_tetrahedron23_volumes_exact... "
+  quickCheckWith qc_args prop_tetrahedron23_volumes_exact
 
   putStr "prop_tetrahedron0_volumes_positive... "
   quickCheckWith qc_args prop_tetrahedron0_volumes_positive
@@ -143,7 +191,7 @@ main = do
   -- quickCheckWith qc_args prop_cijk1_identity
 
 
-  -- putStrLn "\np. 79, (2.6)\n"
+  putStrLn "\np. 79, (2.6)\n"
 
   putStr "prop_c0120_identity1... "
   quickCheckWith qc_args TC.prop_c0120_identity1
@@ -203,22 +251,22 @@ main = do
   putStr "prop_c3000_identity... "
   quickCheckWith qc_args TC.prop_c3000_identity
 
-  -- putStr "prop_c2010_identity... "
-  -- quickCheckWith qc_args TC.prop_c2010_identity
+  putStr "prop_c2010_identity... "
+  quickCheckWith qc_args TC.prop_c2010_identity
 
-  -- putStr "prop_c2001_identity... "
-  -- quickCheckWith qc_args TC.prop_c2001_identity
+  putStr "prop_c2001_identity... "
+  quickCheckWith qc_args TC.prop_c2001_identity
 
-  -- putStr "prop_c1020_identity... "
-  -- quickCheckWith qc_args TC.prop_c1020_identity
+  putStr "prop_c1020_identity... "
+  quickCheckWith qc_args TC.prop_c1020_identity
 
-  -- putStr "prop_c1002_identity... "
-  -- quickCheckWith qc_args TC.prop_c1002_identity
+  putStr "prop_c1002_identity... "
+  quickCheckWith qc_args TC.prop_c1002_identity
 
-  -- putStr "prop_c1011_identity... "
-  -- quickCheckWith qc_args TC.prop_c1011_identity
+  putStr "prop_c1011_identity... "
+  quickCheckWith qc_args TC.prop_c1011_identity
 
-  -- putStrLn "\np. 80, (2.9)\n"
+  putStrLn "\np. 80, (2.9)\n"
 
   -- putStr "prop_c0120_identity2... "
   -- quickCheckWith qc_args TF.prop_c0120_identity2