X-Git-Url: https://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTetrahedron.hs;h=613b863a49953b57120884b15c83d7ebd733a187;hb=31ec78e6db481a6410486a3279d62ba73ef14528;hp=6da41945dd6ad01b521acb2d0349c01390c7bd54;hpb=993490fd9d940f5e8dea4f934c07c1a5a6c1f8ff;p=spline3.git diff --git a/src/Tetrahedron.hs b/src/Tetrahedron.hs index 6da4194..613b863 100644 --- a/src/Tetrahedron.hs +++ b/src/Tetrahedron.hs @@ -34,7 +34,7 @@ import RealFunction import ThreeDimensional data Tetrahedron = - Tetrahedron { fv :: FunctionValues, + Tetrahedron { function_values :: FunctionValues, v0 :: Point, v1 :: Point, v2 :: Point, @@ -61,7 +61,7 @@ instance Arbitrary Tetrahedron where 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" ++ @@ -72,7 +72,7 @@ instance ThreeDimensional Tetrahedron where center (Tetrahedron _ v0' v1' v2' v3' _) = (v0' + v1' + v2' + v3') `scale` (1/4) - contains_point t p = + contains_point t p0 = b0_unscaled `nearly_ge` 0 && b1_unscaled `nearly_ge` 0 && b2_unscaled `nearly_ge` 0 && @@ -82,19 +82,19 @@ instance ThreeDimensional Tetrahedron where -- would do if we used the regular b0,..b3 functions. b0_unscaled :: Double b0_unscaled = volume inner_tetrahedron - where inner_tetrahedron = t { v0 = p } + where inner_tetrahedron = t { v0 = p0 } b1_unscaled :: Double b1_unscaled = volume inner_tetrahedron - where inner_tetrahedron = t { v1 = p } + where inner_tetrahedron = t { v1 = p0 } b2_unscaled :: Double b2_unscaled = volume inner_tetrahedron - where inner_tetrahedron = t { v2 = p } + where inner_tetrahedron = t { v2 = p0 } b3_unscaled :: Double b3_unscaled = volume inner_tetrahedron - where inner_tetrahedron = t { v3 = p } + where inner_tetrahedron = t { v3 = p0 } polynomial :: Tetrahedron -> (RealFunction Point) @@ -161,73 +161,73 @@ beta t i j k l -- 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) + @@ -235,7 +235,7 @@ c t 1 1 1 0 = eval (fv 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) + @@ -243,26 +243,26 @@ c t 1 1 0 1 = eval (fv 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) + @@ -271,7 +271,7 @@ c t 2 1 0 0 = eval (fv t) $ (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) + @@ -359,7 +359,7 @@ tetrahedron1_geometry_tests = v1 = p1, v2 = p2, v3 = p3, - fv = empty_values, + function_values = empty_values, precomputed_volume = 0 } volume1 :: Assertion @@ -394,7 +394,7 @@ tetrahedron2_geometry_tests = v1 = p1, v2 = p2, v3 = p3, - fv = empty_values, + function_values = empty_values, precomputed_volume = 0 } volume1 :: Assertion @@ -433,7 +433,7 @@ containment_tests = v1 = p1, v2 = p2, v3 = p3, - fv = empty_values, + function_values = empty_values, precomputed_volume = 0 } contained = contains_point t exterior_point @@ -448,7 +448,7 @@ containment_tests = v1 = p1, v2 = p2, v3 = p3, - fv = empty_values, + function_values = empty_values, precomputed_volume = 0 } contained = contains_point t exterior_point @@ -463,7 +463,7 @@ containment_tests = v1 = p1, v2 = p2, v3 = p3, - fv = empty_values, + function_values = empty_values, precomputed_volume = 0 } contained = contains_point t exterior_point @@ -478,7 +478,7 @@ containment_tests = v1 = p1, v2 = p2, v3 = p3, - fv = empty_values, + function_values = empty_values, precomputed_volume = 0 } contained = contains_point t exterior_point