Portability | non-portable |
---|---|

Stability | experimental |

Maintainer | Edward Kmett <ekmett@gmail.com> |

Safe Haskell | None |

Quaternions

- data Quaternion a = Quaternion a !(V3 a)
- class Complicated t where
- class Complicated t => Hamiltonian t where
- slerp :: RealFloat a => Quaternion a -> Quaternion a -> a -> Quaternion a
- asinq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion a
- acosq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion a
- atanq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion a
- asinhq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion a
- acoshq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion a
- atanhq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion a
- absi :: Floating a => Quaternion a -> a
- pow :: RealFloat a => Quaternion a -> a -> Quaternion a
- rotate :: (Conjugate a, RealFloat a) => Quaternion a -> V3 a -> V3 a
- axisAngle :: (Epsilon a, Floating a) => V3 a -> a -> Quaternion a

# Documentation

data Quaternion a Source

Quaternion a !(V3 a) |

Monad Quaternion | |

Functor Quaternion | |

Typeable1 Quaternion | |

Applicative Quaternion | |

Foldable Quaternion | |

Traversable Quaternion | |

Distributive Quaternion | |

Representable Quaternion | |

Metric Quaternion | |

Hamiltonian Quaternion | |

Complicated Quaternion | |

Eq a => Eq (Quaternion a) | |

(Fractional (Quaternion a), RealFloat a) => Floating (Quaternion a) | |

(Num (Quaternion a), RealFloat a) => Fractional (Quaternion a) | |

(Typeable (Quaternion a), Data a) => Data (Quaternion a) | |

RealFloat a => Num (Quaternion a) | |

(Eq (Quaternion a), Ord a) => Ord (Quaternion a) | |

Read a => Read (Quaternion a) | |

Show a => Show (Quaternion a) | |

(Ord (Quaternion a), Ix a) => Ix (Quaternion a) | |

Storable a => Storable (Quaternion a) | |

(Num (Quaternion a), RealFloat a, Epsilon a) => Epsilon (Quaternion a) | |

(Num (Quaternion a), Conjugate a, RealFloat a) => Conjugate (Quaternion a) |

class Complicated t whereSource

class Complicated t => Hamiltonian t whereSource

slerp :: RealFloat a => Quaternion a -> Quaternion a -> a -> Quaternion aSource

Spherical linear interpolation between two quaternions.

asinq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion aSource

`asin`

with a specified branch cut.

acosq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion aSource

`acos`

with a specified branch cut.

atanq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion aSource

`atan`

with a specified branch cut.

asinhq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion aSource

`asinh`

with a specified branch cut.

acoshq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion aSource

`acosh`

with a specified branch cut.

atanhq :: RealFloat a => Quaternion a -> Quaternion a -> Quaternion aSource

`atanh`

with a specified branch cut.

absi :: Floating a => Quaternion a -> aSource

norm of the imaginary component

pow :: RealFloat a => Quaternion a -> a -> Quaternion aSource

raise a `Quaternion`

to a scalar power

rotate :: (Conjugate a, RealFloat a) => Quaternion a -> V3 a -> V3 aSource

Apply a rotation to a vector.

axisAngle :: (Epsilon a, Floating a) => V3 a -> a -> Quaternion aSource

builds a `axisAngle`

axis theta`Quaternion`

representing a
rotation of `theta`

radians about `axis`

.