import ThreeDimensional
data Tetrahedron =
- Tetrahedron { fv :: FunctionValues,
+ Tetrahedron { function_values :: FunctionValues,
v0 :: Point,
v1 :: Point,
v2 :: Point,
instance Show Tetrahedron where
show t = "Tetrahedron:\n" ++
- " fv: " ++ (show (fv t)) ++ "\n" ++
+ " function_values: " ++ (show (function_values t)) ++ "\n" ++
" v0: " ++ (show (v0 t)) ++ "\n" ++
" v1: " ++ (show (v1 t)) ++ "\n" ++
" v2: " ++ (show (v2 t)) ++ "\n" ++
-- Zeilfelder, pp. 84-86. If incorrect indices are supplied, the
-- function will simply error.
c :: Tetrahedron -> Int -> Int -> Int -> Int -> Double
-c t 0 0 3 0 = eval (fv t) $
+c t 0 0 3 0 = eval (function_values t) $
(1/8) * (I + F + L + T + LT + FL + FT + FLT)
-c t 0 0 0 3 = eval (fv t) $
+c t 0 0 0 3 = eval (function_values t) $
(1/8) * (I + F + R + T + RT + FR + FT + FRT)
-c t 0 0 2 1 = eval (fv t) $
+c t 0 0 2 1 = eval (function_values t) $
(5/24)*(I + F + T + FT) +
(1/24)*(L + FL + LT + FLT)
-c t 0 0 1 2 = eval (fv t) $
+c t 0 0 1 2 = eval (function_values t) $
(5/24)*(I + F + T + FT) +
(1/24)*(R + FR + RT + FRT)
-c t 0 1 2 0 = eval (fv t) $
+c t 0 1 2 0 = eval (function_values t) $
(5/24)*(I + F) +
(1/8)*(L + T + FL + FT) +
(1/24)*(LT + FLT)
-c t 0 1 0 2 = eval (fv t) $
+c t 0 1 0 2 = eval (function_values t) $
(5/24)*(I + F) +
(1/8)*(R + T + FR + FT) +
(1/24)*(RT + FRT)
-c t 0 1 1 1 = eval (fv t) $
+c t 0 1 1 1 = eval (function_values t) $
(13/48)*(I + F) +
(7/48)*(T + FT) +
(1/32)*(L + R + FL + FR) +
(1/96)*(LT + RT + FLT + FRT)
-c t 0 2 1 0 = eval (fv t) $
+c t 0 2 1 0 = eval (function_values t) $
(13/48)*(I + F) +
(17/192)*(L + T + FL + FT) +
(1/96)*(LT + FLT) +
(1/64)*(R + D + FR + FD) +
(1/192)*(RT + LD + FRT + FLD)
-c t 0 2 0 1 = eval (fv t) $
+c t 0 2 0 1 = eval (function_values t) $
(13/48)*(I + F) +
(17/192)*(R + T + FR + FT) +
(1/96)*(RT + FRT) +
(1/64)*(L + D + FL + FD) +
(1/192)*(RD + LT + FLT + FRD)
-c t 0 3 0 0 = eval (fv t) $
+c t 0 3 0 0 = eval (function_values t) $
(13/48)*(I + F) +
(5/96)*(L + R + T + D + FL + FR + FT + FD) +
(1/192)*(RT + RD + LT + LD + FRT + FRD + FLT + FLD)
-c t 1 0 2 0 = eval (fv t) $
+c t 1 0 2 0 = eval (function_values t) $
(1/4)*I +
(1/6)*(F + L + T) +
(1/12)*(LT + FL + FT)
-c t 1 0 0 2 = eval (fv t) $
+c t 1 0 0 2 = eval (function_values t) $
(1/4)*I +
(1/6)*(F + R + T) +
(1/12)*(RT + FR + FT)
-c t 1 0 1 1 = eval (fv t) $
+c t 1 0 1 1 = eval (function_values t) $
(1/3)*I +
(5/24)*(F + T) +
(1/12)*FT +
(1/24)*(L + R) +
(1/48)*(LT + RT + FL + FR)
-c t 1 1 1 0 = eval (fv t) $
+c t 1 1 1 0 = eval (function_values t) $
(1/3)*I +
(5/24)*F +
(1/8)*(L + T) +
(1/48)*(D + R + LT) +
(1/96)*(FD + LD + RT + FR)
-c t 1 1 0 1 = eval (fv t) $
+c t 1 1 0 1 = eval (function_values t) $
(1/3)*I +
(5/24)*F +
(1/8)*(R + T) +
(1/48)*(D + L + RT) +
(1/96)*(FD + LT + RD + FL)
-c t 1 2 0 0 = eval (fv t) $
+c t 1 2 0 0 = eval (function_values t) $
(1/3)*I +
(5/24)*F +
(7/96)*(L + R + T + D) +
(1/32)*(FL + FR + FT + FD) +
(1/96)*(RT + RD + LT + LD)
-c t 2 0 1 0 = eval (fv t) $
+c t 2 0 1 0 = eval (function_values t) $
(3/8)*I +
(7/48)*(F + T + L) +
(1/48)*(R + D + B + LT + FL + FT) +
(1/96)*(RT + BT + FR + FD + LD + BL)
-c t 2 0 0 1 = eval (fv t) $
+c t 2 0 0 1 = eval (function_values t) $
(3/8)*I +
(7/48)*(F + T + R) +
(1/48)*(L + D + B + RT + FR + FT) +
(1/96)*(LT + BT + FL + FD + RD + BR)
-c t 2 1 0 0 = eval (fv t) $
+c t 2 1 0 0 = eval (function_values t) $
(3/8)*I +
(1/12)*(T + R + L + D) +
(1/64)*(FT + FR + FL + FD) +
(1/96)*(RT + LD + LT + RD) +
(1/192)*(BT + BR + BL + BD)
-c t 3 0 0 0 = eval (fv t) $
+c t 3 0 0 0 = eval (function_values t) $
(3/8)*I +
(1/12)*(T + F + L + R + D + B) +
(1/96)*(LT + FL + FT + RT + BT + FR) +
v1 = p1,
v2 = p2,
v3 = p3,
- fv = empty_values,
+ function_values = empty_values,
precomputed_volume = 0 }
volume1 :: Assertion
v1 = p1,
v2 = p2,
v3 = p3,
- fv = empty_values,
+ function_values = empty_values,
precomputed_volume = 0 }
volume1 :: Assertion
v1 = p1,
v2 = p2,
v3 = p3,
- fv = empty_values,
+ function_values = empty_values,
precomputed_volume = 0 }
contained = contains_point t exterior_point
v1 = p1,
v2 = p2,
v3 = p3,
- fv = empty_values,
+ function_values = empty_values,
precomputed_volume = 0 }
contained = contains_point t exterior_point
v1 = p1,
v2 = p2,
v3 = p3,
- fv = empty_values,
+ function_values = empty_values,
precomputed_volume = 0 }
contained = contains_point t exterior_point
v1 = p1,
v2 = p2,
v3 = p3,
- fv = empty_values,
+ function_values = empty_values,
precomputed_volume = 0 }
contained = contains_point t exterior_point