X-Git-Url: https://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTetrahedron.hs;h=87332b94440afdb999b173c13f681095d48ac796;hb=1f45b6c0880c08809163d18f5f7b63d773ddcbe7;hp=d468f0c570a920fe3967fdd7e20973ef2cd9945e;hpb=c8994e4028a753c901271a1238b579a2f609707f;p=spline3.git

diff --git a/src/Tetrahedron.hs b/src/Tetrahedron.hs
index d468f0c..87332b9 100644
--- a/src/Tetrahedron.hs
+++ b/src/Tetrahedron.hs
@@ -1,6 +1,11 @@
 module Tetrahedron
 where
 
+import qualified Data.Vector as V (
+  singleton,
+  snoc,
+  sum
+  )
 import Numeric.LinearAlgebra hiding (i, scale)
 import Prelude hiding (LT)
 import Test.QuickCheck (Arbitrary(..), Gen, choose)
@@ -47,6 +52,7 @@ instance Arbitrary Tetrahedron where
 
 instance Show Tetrahedron where
     show t = "Tetrahedron:\n" ++
+             "  no: " ++ (show (number t)) ++ "\n" ++
              "  fv: " ++ (show (fv t)) ++ "\n" ++
              "  v0: " ++ (show (v0 t)) ++ "\n" ++
              "  v1: " ++ (show (v1 t)) ++ "\n" ++
@@ -55,7 +61,9 @@ instance Show Tetrahedron where
 
 
 instance ThreeDimensional Tetrahedron where
-    center t = ((v0 t) + (v1 t) + (v2 t) + (v3 t)) `scale` (1/4)
+    center (Tetrahedron _ v0' v1' v2' v3' _ _) =
+        (v0' + v1' + v2' + v3') `scale` (1/4)
+
     contains_point t p =
       b0_unscaled `nearly_ge` 0 &&
       b1_unscaled `nearly_ge` 0 &&
@@ -83,11 +91,26 @@ instance ThreeDimensional Tetrahedron where
 
 polynomial :: Tetrahedron -> (RealFunction Point)
 polynomial t =
-    sum [ (c t i j k l) `cmult` (beta t i j k l) | i <- [0..3],
-                                                   j <- [0..3],
-                                                   k <- [0..3],
-                                                   l <- [0..3],
-                                                   i + j + k + l == 3]
+    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`
+            ((c t 3 0 0 0) `cmult` (beta t 3 0 0 0))
 
 
 -- | Returns the domain point of t with indices i,j,k,l.