Remove all "otherwise -> error" cases for performance reasons.

[spline3.git] / src / Tetrahedron.hs

diff --git a/src/Tetrahedron.hs b/src/Tetrahedron.hs
index f1614f9004b8a984b8e29ff3095072f1c16a72a4..a6d69a2c68af2c8051d3fab76b9bcfd4e3201bfd 100644 (file)
--- a/src/Tetrahedron.hs
+++ b/src/Tetrahedron.hs
@@ -96,7 +96,7 @@ instance ThreeDimensional Tetrahedron where
         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`
@@ -125,10 +125,8 @@ polynomial t =
 -- | The Bernstein polynomial on t with indices i,j,k,l. Denoted by a
 --   capital 'B' in the Sorokina/Zeilfelder paper.
 beta :: Tetrahedron -> Int -> Int -> Int -> Int -> (RealFunction Point)
-beta t i j k l
-  | (i + j + k + l == 3) =
-      coefficient `cmult` (b0_term * b1_term * b2_term * b3_term)
-  | otherwise = error "basis function index out of bounds"
+beta t i j k l =
+  coefficient `cmult` (b0_term * b1_term * b2_term * b3_term)
   where
     denominator = (factorial i)*(factorial j)*(factorial k)*(factorial l)
     coefficient = 6 / (fromIntegral denominator)
@@ -141,8 +139,8 @@ beta t i j k l
 -- | The coefficient function. c t i j k l returns the coefficient
 --   c_ijkl with respect to the tetrahedron t. The definition uses
 --   pattern matching to mimic the definitions given in Sorokina and
---   Zeilfelder, pp. 84-86. If incorrect indices are supplied, the
---   function will simply error.
+--   Zeilfelder, pp. 84-86. If incorrect indices are supplied, the world
+--   will end. This is for performance reasons.
 c :: Tetrahedron -> Int -> Int -> Int -> Int -> Double
 c !t !i !j !k !l =
   coefficient i j k l
@@ -271,8 +269,6 @@ c !t !i !j !k !l =
                + (1/96)*(lt + fl + ft + rt + bt + fr)
                + (1/96)*(fd + ld + bd + br + rd + bl)
 
-    coefficient _ _ _ _ = error "coefficient index out of bounds"
-
 
 
 -- | Compute the determinant of the 4x4 matrix,
@@ -308,6 +304,7 @@ det p0 p1 p2 p3 =
 
 -- | Computed using the formula from Lai & Schumaker, Definition 15.4,
 --   page 436.
+{-# INLINE volume #-}
 volume :: Tetrahedron -> Double
 volume t
        | v0' == v1' = 0
@@ -325,6 +322,7 @@ volume t
 
 
 -- | The barycentric coordinates of a point with respect to v0.
+{-# INLINE b0 #-}
 b0 :: Tetrahedron -> (RealFunction Point)
 b0 t point = (volume inner_tetrahedron) / (precomputed_volume t)
              where
@@ -332,6 +330,7 @@ b0 t point = (volume inner_tetrahedron) / (precomputed_volume t)
 
 
 -- | The barycentric coordinates of a point with respect to v1.
+{-# INLINE b1 #-}
 b1 :: Tetrahedron -> (RealFunction Point)
 b1 t point = (volume inner_tetrahedron) / (precomputed_volume t)
              where
@@ -339,6 +338,7 @@ b1 t point = (volume inner_tetrahedron) / (precomputed_volume t)
 
 
 -- | The barycentric coordinates of a point with respect to v2.
+{-# INLINE b2 #-}
 b2 :: Tetrahedron -> (RealFunction Point)
 b2 t point = (volume inner_tetrahedron) / (precomputed_volume t)
              where
@@ -346,6 +346,7 @@ b2 t point = (volume inner_tetrahedron) / (precomputed_volume t)
 
 
 -- | The barycentric coordinates of a point with respect to v3.
+{-# INLINE b3 #-}
 b3 :: Tetrahedron -> (RealFunction Point)
 b3 t point = (volume inner_tetrahedron) / (precomputed_volume t)
              where
@@ -641,9 +642,8 @@ p78_24_properties =
   where
     -- | Returns the domain point of t with indices i,j,k,l.
     domain_point :: Tetrahedron -> Int -> Int -> Int -> Int -> Point
-    domain_point t i j k l
-      | i + j + k + l == 3 = weighted_sum `scale` (1/3)
-      | otherwise = error "domain point index out of bounds"
+    domain_point t i j k l =
+      weighted_sum `scale` (1/3)
       where
         v0' = (v0 t) `scale` (fromIntegral i)
         v1' = (v1 t) `scale` (fromIntegral j)