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

Stability | provisional |

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

Safe Haskell | None |

Operations on free vector spaces.

- (^+^) :: (Applicative f, Num a) => f a -> f a -> f a
- gnegate :: (Functor f, Num a) => f a -> f a
- (^-^) :: (Applicative f, Num a) => f a -> f a -> f a
- (^*) :: (Functor f, Num a) => f a -> a -> f a
- (*^) :: (Functor f, Num a) => a -> f a -> f a
- (^/) :: (Functor f, Fractional a) => f a -> a -> f a
- lerp :: (Applicative f, Num a) => a -> f a -> f a -> f a
- basis :: (Applicative t, Traversable t, Num a) => [t a]
- basisFor :: (Traversable t, Enum a, Num a) => t a -> [t a]

# Documentation

(^+^) :: (Applicative f, Num a) => f a -> f a -> f aSource

Compute the sum of two vectors

(^-^) :: (Applicative f, Num a) => f a -> f a -> f aSource

Compute the difference between two vectors

(^/) :: (Functor f, Fractional a) => f a -> a -> f aSource

Compute division by a scalar on the right.

lerp :: (Applicative f, Num a) => a -> f a -> f a -> f aSource

Linearly interpolate between two vectors.

basis :: (Applicative t, Traversable t, Num a) => [t a]Source

Produce a default basis for a vector space. If the dimensionality
of the vector space is not statically known, see `basisFor`

.

basisFor :: (Traversable t, Enum a, Num a) => t a -> [t a]Source

Produce a default basis for a vector space from which the argument is drawn.