From 896a6da8ee16070b6dc6e4d0ed59bf6904b06da4 Mon Sep 17 00:00:00 2001
From: Michael Orlitzky <michael@orlitzky.com>
Date: Mon, 2 May 2011 16:37:41 -0400
Subject: [PATCH] Add a bunch more coefficient tests.

---
 src/Tests/Face.hs | 172 +++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 171 insertions(+), 1 deletion(-)

diff --git a/src/Tests/Face.hs b/src/Tests/Face.hs
index fb02539..decb77a 100644
--- a/src/Tests/Face.hs
+++ b/src/Tests/Face.hs
@@ -16,6 +16,7 @@ import Face (face0,
              tetrahedron3,
              tetrahedrons)
 import Grid (Grid(h), make_grid)
+import Point
 import Tetrahedron
 
 
@@ -30,6 +31,15 @@ assertAlmostEqual preface expected actual =
              "expected: " ++ show expected ++ "\n but got: " ++ show actual
 
 
+-- | An HUnit assertion that wraps the is_close function. Stolen
+--   from the definition of assertEqual in Test/HUnit/Base.hs.
+assertClose :: String -> Point -> Point -> Assertion
+assertClose preface expected actual =
+  unless (actual `is_close` expected) (assertFailure msg)
+ where msg = (if null preface then "" else preface ++ "\n") ++
+             "expected: " ++ show expected ++ "\n but got: " ++ show actual
+
+
 -- | Values of the function f(x,y,z) = 1 + x + xy + xyz taken at nine
 --   points (hi, hj, jk) with h = 1. From example one in the paper.
 --   Used in the next bunch of tests.
@@ -176,6 +186,153 @@ test_trilinear_c1020 =
         t = head (tetrahedrons cube) -- Any one will do.
 
 
+-- | Check the value of c1002 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c1002 :: Test
+test_trilinear_c1002 =
+    TestCase $ assertAlmostEqual "c1002 is correct" (c t 1 0 0 2) (23/6)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1011 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c1011 :: Test
+test_trilinear_c1011 =
+    TestCase $ assertAlmostEqual "c1011 is correct" (c t 1 0 1 1) (13/4)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1110 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c1110 :: Test
+test_trilinear_c1110 =
+    TestCase $ assertAlmostEqual "c1110 is correct" (c t 1 1 1 0) (23/8)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1101 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c1101 :: Test
+test_trilinear_c1101 =
+    TestCase $ assertAlmostEqual "c1101 is correct" (c t 1 1 0 1) (27/8)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c1200 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c1200 :: Test
+test_trilinear_c1200 =
+    TestCase $ assertAlmostEqual "c1200 is correct" (c t 1 2 0 0) 3
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c2010 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c2010 :: Test
+test_trilinear_c2010 =
+    TestCase $ assertAlmostEqual "c2010 is correct" (c t 2 0 1 0) (10/3)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c2001 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c2001 :: Test
+test_trilinear_c2001 =
+    TestCase $ assertAlmostEqual "c2001 is correct" (c t 2 0 0 1) 4
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c2100 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c2100 :: Test
+test_trilinear_c2100 =
+    TestCase $ assertAlmostEqual "c2100 is correct" (c t 2 1 0 0) (7/2)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+-- | Check the value of c3000 for any tetrahedron belonging to the
+--   cube centered on (1,1,1) with a grid constructed from the
+--   trilinear values. See example one in the paper.
+test_trilinear_c3000 :: Test
+test_trilinear_c3000 =
+    TestCase $ assertAlmostEqual "c3000 is correct" (c t 3 0 0 0) 4
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = head (tetrahedrons cube) -- Any one will do.
+
+
+
+test_trilinear_f0_t0_v0 :: Test
+test_trilinear_f0_t0_v0 =
+    TestCase $ assertClose "v0 is correct" (v0 t) (0.5, 1.5, 1.5)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = tetrahedron0 (face0 cube) -- Any one will do.
+
+
+test_trilinear_f0_t0_v1 :: Test
+test_trilinear_f0_t0_v1 =
+    TestCase $ assertClose "v1 is correct" (v1 t) (1.5, 1.5, 1.5)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = tetrahedron0 (face0 cube) -- Any one will do.
+
+
+test_trilinear_f0_t0_v2 :: Test
+test_trilinear_f0_t0_v2 =
+    TestCase $ assertClose "v2 is correct" (v2 t) (1, 1, 1.5)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = tetrahedron0 (face0 cube) -- Any one will do.
+
+
+
+test_trilinear_f0_t0_v3 :: Test
+test_trilinear_f0_t0_v3 =
+    TestCase $ assertClose "v3 is correct" (v3 t) (1, 1, 1)
+      where
+        g = make_grid 1 trilinear
+        cube = cube_at g 1 1 1
+        t = tetrahedron0 (face0 cube) -- Any one will do.
+
+
+
 face_tests :: [Test]
 face_tests = [test_trilinear_c0030,
               test_trilinear_c0003,
@@ -187,7 +344,20 @@ face_tests = [test_trilinear_c0030,
               test_trilinear_c0210,
               test_trilinear_c0201,
               test_trilinear_c0300,
-              test_trilinear_c1020]
+              test_trilinear_c1020,
+              test_trilinear_c1002,
+              test_trilinear_c1011,
+              test_trilinear_c1110,
+              test_trilinear_c1101,
+              test_trilinear_c1200,
+              test_trilinear_c2010,
+              test_trilinear_c2001,
+              test_trilinear_c2100,
+              test_trilinear_c3000,
+              test_trilinear_f0_t0_v0,
+              test_trilinear_f0_t0_v1,
+              test_trilinear_f0_t0_v2,
+              test_trilinear_f0_t0_v3]
 
 
 -- QuickCheck Tests.
-- 
2.43.2