zipWith )
import Data.Vector.Fixed.Cont ( Arity, arity )
import Linear.Vector ( Vec, delete )
-import Naturals ( N1, N2, N3, N4, N5, N6, N7, N8, N9, N10, S, Z )
+import Naturals
import Normed ( Normed(..) )
import NumericPrelude hiding ( (*), abs )
type Mat3 a = Mat N3 N3 a
type Mat4 a = Mat N4 N4 a
type Mat5 a = Mat N5 N5 a
+type Mat6 a = Mat N6 N6 a
+type Mat7 a = Mat N7 N7 a
-- * Type synonyms for 1-by-n row "vectors".
type Col7 a = Col N7 a
type Col8 a = Col N8 a
type Col9 a = Col N9 a
-type Col10 a = Col N10 a -- We need a big column for Gaussian quadrature.
+type Col10 a = Col N10 a
+type Col11 a = Col N11 a
+type Col12 a = Col N12 a
+type Col13 a = Col N13 a
+type Col14 a = Col N14 a
+type Col15 a = Col N15 a
+type Col16 a = Col N16 a
+type Col17 a = Col N17 a
+type Col18 a = Col N18 a
+type Col19 a = Col N19 a
+type Col20 a = Col N20 a
+type Col21 a = Col N21 a
+type Col22 a = Col N22 a
+type Col23 a = Col N23 a
+type Col24 a = Col N24 a
+type Col25 a = Col N25 a
+type Col26 a = Col N26 a
+type Col27 a = Col N27 a
+type Col28 a = Col N28 a
+type Col29 a = Col N29 a
+type Col30 a = Col N30 a
+type Col31 a = Col N31 a
+type Col32 a = Col N32 a
instance (Eq a) => Eq (Mat m n a) where
-- >>> m1 == m3
-- False
--
- (Mat rows1) == (Mat rows2) =
- V.and $ V.zipWith comp rows1 rows2
+ (Mat rows_one) == (Mat rows_two) =
+ V.and $ V.zipWith comp rows_one rows_two
where
-- Compare a row, one column at a time.
comp row1 row2 = V.and (V.zipWith (==) row1 row2)
instance (Ring.C a, Arity m, Arity n) => Additive.C (Mat m n a) where
- (Mat rows1) + (Mat rows2) =
- Mat $ V.zipWith (V.zipWith (+)) rows1 rows2
+ (Mat rows_one) + (Mat rows_two) =
+ Mat $ V.zipWith (V.zipWith (+)) rows_one rows_two
- (Mat rows1) - (Mat rows2) =
- Mat $ V.zipWith (V.zipWith (-)) rows1 rows2
+ (Mat rows_one) - (Mat rows_two) =
+ Mat $ V.zipWith (V.zipWith (-)) rows_one rows_two
zero = Mat (V.replicate $ V.replicate (fromInteger 0))