-- Hoogle documentation, generated by Haddock
-- See Hoogle, http://www.haskell.org/hoogle/


-- | Low-dimensional matrices and vectors for graphics and physics
--   
--   Low-dimensional matrices and vectors for graphics and physics
@package lin-alg
@version 0.1.0.2

module Numeric.LinearAlgebra.Vector
data Vec4 a
Vec4 :: !a -> !a -> !a -> !a -> Vec4 a
data Vec3 a
Vec3 :: !a -> !a -> !a -> Vec3 a
data Vec2 a
Vec2 :: !a -> !a -> Vec2 a
class Functor v => Vector v
vDim :: Vector v => v a -> Int
vElement :: Vector v => v a -> Int -> a
vIndexOf :: (Vector v, Ord a) => (a -> a -> Bool) -> v a -> Int
vZip :: Vector v => (a -> b -> c) -> v a -> v b -> v c
vFold :: Vector v => (a -> a -> a) -> v a -> a
vNegate :: (Num a, Vector v) => v a -> v a
(<+>) :: (Num a, Vector v) => v a -> v a -> v a
(<*>) :: (Num a, Vector v) => v a -> v a -> v a
(<->) :: (Num a, Vector v) => v a -> v a -> v a
(</>) :: (Fractional a, Vector v) => v a -> v a -> v a
(<.>) :: (Num a, Vector v) => v a -> v a -> a
(*>) :: (Num a, Vector v) => a -> v a -> v a
(</) :: (Fractional a, Vector v) => v a -> a -> v a
len :: (Floating a, Vector v) => v a -> a
lenSquared :: (Num a, Vector v) => v a -> a
maxVec :: (Ord k, Vector v) => v k -> v k -> v k
minVec :: (Ord k, Vector v) => v k -> v k -> v k
minComponent :: (Ord k, Vector v) => v k -> k
maxComponent :: (Ord k, Vector v) => v k -> k
minAbsComponent :: (Num k, Ord k, Vector v) => v k -> k
maxAbsComponent :: (Num k, Ord k, Vector v) => v k -> k
vIndexOfMinComponent :: (Ord k, Vector v) => v k -> Int
vIndexOfMaxComponent :: (Ord k, Vector v) => v k -> Int
vIndexOfMinAbsComponent :: (Ord k, Num k, Vector v) => v k -> Int
vIndexOfMaxAbsComponent :: (Ord k, Num k, Vector v) => v k -> Int

-- | Cross product
(<%>) :: Floating a => Vec3 a -> Vec3 a -> Vec3 a
unitVector :: (Floating a, Vector v) => v a -> v a
tripleProduct :: Floating a => Vec3 a -> Vec3 a -> Vec3 a -> a
instance Read a => Read (Vec4 a)
instance Show a => Show (Vec4 a)
instance Eq a => Eq (Vec4 a)
instance Ord a => Ord (Vec4 a)
instance Read a => Read (Vec3 a)
instance Show a => Show (Vec3 a)
instance Eq a => Eq (Vec3 a)
instance Ord a => Ord (Vec3 a)
instance Read a => Read (Vec2 a)
instance Show a => Show (Vec2 a)
instance Eq a => Eq (Vec2 a)
instance Ord a => Ord (Vec2 a)
instance (RealFloat a, Unbox a) => Vector Vector (Vec3 a)
instance (RealFloat a, Unbox a) => MVector MVector (Vec3 a)
instance (RealFloat a, Unbox a) => Unbox (Vec3 a)
instance Functor Vec2
instance Vector Vec2
instance Functor Vec3
instance Vector Vec3
instance Functor Vec4
instance Vector Vec4

module Numeric.LinearAlgebra.OrthoNormalBasis
epsilon :: (Ord a, Floating a) => a
data ONB a
ONB :: Vec3 a -> Vec3 a -> Vec3 a -> ONB a
onbU :: ONB a -> Vec3 a
onbV :: ONB a -> Vec3 a
onbW :: ONB a -> Vec3 a
mkFromU :: (Ord a, Floating a) => Vec3 a -> ONB a
mkFromV :: (Ord a, Floating a) => Vec3 a -> ONB a
mkFromW :: (Ord a, Floating a) => Vec3 a -> ONB a
mkFromUV :: Floating a => Vec3 a -> Vec3 a -> ONB a
mkFromVU :: Floating a => Vec3 a -> Vec3 a -> ONB a
mkFromUW :: Floating a => Vec3 a -> Vec3 a -> ONB a
mkFromWU :: Floating a => Vec3 a -> Vec3 a -> ONB a
mkFromVW :: Floating a => Vec3 a -> Vec3 a -> ONB a
mkFromWV :: Floating a => Vec3 a -> Vec3 a -> ONB a
instance Read a => Read (ONB a)
instance Show a => Show (ONB a)
instance Eq a => Eq (ONB a)
instance Ord a => Ord (ONB a)

module Numeric.LinearAlgebra.Matrix.Class
class Functor m => Matrix m
mDim :: Matrix m => m a -> Int
mElement :: Matrix m => m a -> Int -> Int -> a
mIndexOf :: (Matrix m, Ord a) => (a -> a -> Bool) -> m a -> (Int, Int)
mZip :: Matrix m => (a -> b -> c) -> m a -> m b -> m c
mFold :: Matrix m => (a -> a -> a) -> m a -> a
det :: (Matrix m, Num a) => m a -> a
mApply :: Functor f => f (a -> b) -> a -> f b
(.+.) :: (Num k, Matrix m) => m k -> m k -> m k
(.-.) :: (Num k, Matrix m) => m k -> m k -> m k

module Numeric.LinearAlgebra.Matrix.Mat33
data Mat33 a
Mat33 :: !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> Mat33 a
m00 :: Mat33 a -> !a
m01 :: Mat33 a -> !a
m02 :: Mat33 a -> !a
m10 :: Mat33 a -> !a
m11 :: Mat33 a -> !a
m12 :: Mat33 a -> !a
m20 :: Mat33 a -> !a
m21 :: Mat33 a -> !a
m22 :: Mat33 a -> !a
det33 :: Num a => a -> a -> a -> a -> a -> a -> a -> a -> a -> a
instance Read a => Read (Mat33 a)
instance Show a => Show (Mat33 a)
instance Eq a => Eq (Mat33 a)
instance Ord a => Ord (Mat33 a)
instance Functor Mat33
instance Matrix Mat33

module Numeric.LinearAlgebra.Matrix.Mat44
data Mat44 a
Mat44 :: !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> !a -> Mat44 a
m00 :: Mat44 a -> !a
m01 :: Mat44 a -> !a
m02 :: Mat44 a -> !a
m03 :: Mat44 a -> !a
m10 :: Mat44 a -> !a
m11 :: Mat44 a -> !a
m12 :: Mat44 a -> !a
m13 :: Mat44 a -> !a
m20 :: Mat44 a -> !a
m21 :: Mat44 a -> !a
m22 :: Mat44 a -> !a
m23 :: Mat44 a -> !a
m30 :: Mat44 a -> !a
m31 :: Mat44 a -> !a
m32 :: Mat44 a -> !a
m33 :: Mat44 a -> !a
det44 :: Num a => Mat44 a -> a
inv44 :: Fractional a => Mat44 a -> Mat44 a
instance Read a => Read (Mat44 a)
instance Show a => Show (Mat44 a)
instance Eq a => Eq (Mat44 a)
instance Ord a => Ord (Mat44 a)
instance Functor Mat44
instance Matrix Mat44

module Numeric.LinearAlgebra.Matrix
data Mat44 a
data Mat33 a