Safe Haskell	None
Language	Haskell2010

Geomancy.Quaternion

Description

Specialized and inlined Quaternion Float.

Synopsis

data Quaternion
quaternion :: Float -> Float -> Float -> Float -> Quaternion
withQuaternion :: Quaternion -> (Float -> Float -> Float -> Float -> r) -> r
axisAngle :: Vec3 -> Float -> Quaternion
intrinsic :: Float -> Float -> Float -> Quaternion
extrinsic :: Float -> Float -> Float -> Quaternion
rotate :: Quaternion -> Vec3 -> Vec3
rotatePoint :: Quaternion -> Vec3 -> Vec3 -> Vec3
rotationBetween :: Vec3 -> Vec3 -> Quaternion
lookAtUp :: Vec3 -> Vec3 -> Vec3 -> Quaternion
(^*) :: Quaternion -> Float -> Quaternion
(^/) :: Quaternion -> Float -> Quaternion
slerp :: Quaternion -> Quaternion -> Float -> Quaternion
conjugate :: Quaternion -> Quaternion
norm :: Quaternion -> Float
quadrance :: Quaternion -> Float
dot :: Quaternion -> Quaternion -> Float
normalize :: Quaternion -> Quaternion
qNaN :: Quaternion

Documentation

data Quaternion Source #

Instances

Instances details

Storable Quaternion Source #

Instance details

Defined in Geomancy.Quaternion

Methods

sizeOf :: Quaternion -> Int #

alignment :: Quaternion -> Int #

peekElemOff :: Ptr Quaternion -> Int -> IO Quaternion #

pokeElemOff :: Ptr Quaternion -> Int -> Quaternion -> IO () #

peekByteOff :: Ptr b -> Int -> IO Quaternion #

pokeByteOff :: Ptr b -> Int -> Quaternion -> IO () #

peek :: Ptr Quaternion -> IO Quaternion #

poke :: Ptr Quaternion -> Quaternion -> IO () #

Num Quaternion Source #

Instance details

Defined in Geomancy.Quaternion

Methods

(+) :: Quaternion -> Quaternion -> Quaternion #

(-) :: Quaternion -> Quaternion -> Quaternion #

(*) :: Quaternion -> Quaternion -> Quaternion #

negate :: Quaternion -> Quaternion #

abs :: Quaternion -> Quaternion #

signum :: Quaternion -> Quaternion #

fromInteger :: Integer -> Quaternion #

Show Quaternion Source #

Instance details

Defined in Geomancy.Quaternion

Methods

showsPrec :: Int -> Quaternion -> ShowS #

show :: Quaternion -> String #

showList :: [Quaternion] -> ShowS #

NFData Quaternion Source #

Instance details

Defined in Geomancy.Quaternion

Methods

rnf :: Quaternion -> () #

Eq Quaternion Source #

Instance details

Defined in Geomancy.Quaternion

Methods

(==) :: Quaternion -> Quaternion -> Bool #

(/=) :: Quaternion -> Quaternion -> Bool #

Ord Quaternion Source #

Instance details

Defined in Geomancy.Quaternion

Methods

compare :: Quaternion -> Quaternion -> Ordering #

(<) :: Quaternion -> Quaternion -> Bool #

(<=) :: Quaternion -> Quaternion -> Bool #

(>) :: Quaternion -> Quaternion -> Bool #

(>=) :: Quaternion -> Quaternion -> Bool #

max :: Quaternion -> Quaternion -> Quaternion #

min :: Quaternion -> Quaternion -> Quaternion #

Block Quaternion Source #

Instance details

Defined in Geomancy.Quaternion

Associated Types

type PackedSize Quaternion
Instance details Defined in Geomancy.Quaternion type PackedSize Quaternion = 16

Methods

alignment140 :: proxy Quaternion -> Int #

sizeOf140 :: proxy Quaternion -> Int #

isStruct :: proxy Quaternion -> Bool #

read140 :: MonadIO m => Ptr a -> Diff a Quaternion -> m Quaternion #

write140 :: MonadIO m => Ptr a -> Diff a Quaternion -> Quaternion -> m () #

alignment430 :: proxy Quaternion -> Int #

sizeOf430 :: proxy Quaternion -> Int #

read430 :: MonadIO m => Ptr a -> Diff a Quaternion -> m Quaternion #

write430 :: MonadIO m => Ptr a -> Diff a Quaternion -> Quaternion -> m () #

sizeOfPacked :: proxy Quaternion -> Int #

readPacked :: MonadIO m => Ptr a -> Diff a Quaternion -> m Quaternion #

writePacked :: MonadIO m => Ptr a -> Diff a Quaternion -> Quaternion -> m () #

type PackedSize Quaternion Source #

Instance details

Defined in Geomancy.Quaternion

type PackedSize Quaternion = 16

quaternion :: Float -> Float -> Float -> Float -> Quaternion Source #

withQuaternion :: Quaternion -> (Float -> Float -> Float -> Float -> r) -> r Source #

axisAngle :: Vec3 -> Float -> Quaternion Source #

Quaternion construction from axis and angle.

In a right-handed system, the rotation would appear clockwise when looking in the axis direction.

intrinsic :: Float -> Float -> Float -> Quaternion Source #

extrinsic :: Float -> Float -> Float -> Quaternion Source #

rotate :: Quaternion -> Vec3 -> Vec3 Source #

Rotate point with a unit quaternion.

rotatePoint :: Quaternion -> Vec3 -> Vec3 -> Vec3 Source #

Rotate point around another point with a unit quaternion.

rotationBetween :: Vec3 -> Vec3 -> Quaternion Source #

Rotation between vectors.

(in other words: the quaternion needed to rotate v1 so that it matches v2)

lookAtUp :: Vec3 -> Vec3 -> Vec3 -> Quaternion Source #

Orient towards a point.

Use "rotationBetween" if you don't need to keep the object upright.

(^*) :: Quaternion -> Float -> Quaternion Source #

(^/) :: Quaternion -> Float -> Quaternion Source #

slerp :: Quaternion -> Quaternion -> Float -> Quaternion Source #

conjugate :: Quaternion -> Quaternion Source #

norm :: Quaternion -> Float Source #

quadrance :: Quaternion -> Float Source #

dot :: Quaternion -> Quaternion -> Float Source #

normalize :: Quaternion -> Quaternion Source #

qNaN :: Quaternion Source #