X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTetrahedron.hs;h=bcf9a0b599b9fe36098663b71966445ac602bbb6;hb=5c567a139aa16a7df3b4279b13d3110027eb744f;hp=9d90f713e9e214897d13151295ac4599fa983ea4;hpb=58cf11569acb270995d2de924dda03ef526647e2;p=spline3.git diff --git a/src/Tetrahedron.hs b/src/Tetrahedron.hs index 9d90f71..bcf9a0b 100644 --- a/src/Tetrahedron.hs +++ b/src/Tetrahedron.hs @@ -76,6 +76,11 @@ beta t i j k l b3_term = (b3 t) `fexp` 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. c :: Tetrahedron -> Int -> Int -> Int -> Int -> Double c t 0 0 3 0 = eval (fv t) $ (1/8) * (I + F + L + T + LT + FL + FT + FLT) @@ -197,6 +202,8 @@ c _ _ _ _ _ = error "coefficient index out of bounds" +-- | The matrix used in the tetrahedron volume calculation as given in +-- Lai & Schumaker, Definition 15.4, page 436. vol_matrix :: Tetrahedron -> Matrix Double vol_matrix t = (4><4) [1, 1, 1, 1,