(Just a) small collection of Haskell operators with some funny names for them. Haskell tutorials and discussions can sometimes be very dry, so lets “Put the fun back into computing” (distrowatch).

## TIE fighter <*>

Package | Module | Description |
---|---|---|

base | Control.Applicative | Sequential application. |

**Definition:**

`(<*>) :: f (a -> b) -> f a -> f b`

`(<*>) = liftA2 id`

**Example:**

```
> [(*2)] <*> [1,2,3]
[2,4,6]
```

**Other names: ap, apply**

## Wedge-shaped Imperial Star Destroyer <|>

Package | Module | Description |
---|---|---|

base | Control.Applicative | Associative binary operation. |

**Definition:**

`(<|>) :: f a -> f a -> f a`

`(<|>) = (++)`

**Example:**

```
> [1,2,3] <|> [4,5]
[1,2,3,4,5]
```

**Other names: or, alternative**

## TIE bomber <**>

Package | Module | Description |
---|---|---|

base | Control.Applicative | A variant of <*> with arguments reversed. |

**Definition:**

`(<**>) :: f a -> f (a -> b) -> f b`

`(<**>) = liftA2 (\a f -> f a)`

**Example:**

```
> [1,2,3] <**> [(*2)]
[2,4,6]
```

## Right fish >=>

Package | Module | Description |
---|---|---|

base | Control.Monad | Left-to-right Kleisli composition of monads. |

**Definition:**

```
(>=>) :: Monad m => (a -> m b) -> (b -> m c)
-> (a
-> m c)
```

`f >=> g = \x -> f x >>= g`

**Example:**

```
> (pure . (2 +)) >=> (pure . (3 *)) $ 2
12
```

## Left fish <=<

Package | Module | Description |
---|---|---|

base | Control.Monad | (>=>), with arguments flipped. |

```
(<=<) :: Monad m => (b -> m c) -> (a -> m
b) -> (a
-> m c)
```

`(<=<) = flip (>=>)`

**Example:**

```
> (pure . (2 +)) <=< (pure . (3 *)) $ 2
8
```

## Right pipe >>>

Package | Module | Description |
---|---|---|

base | Control.Category | Left-to-right composition. |

```
(>>>) :: cat a b -> cat b c -> cat a
c
```

`f >>> g = g . f`

**Example:**

```
> ((*2) >>> (+3)) $ 2
7
```

## Left pipe .

Package | Module | Description |
---|---|---|

base | Prelude | Right-to-left composition. |

**Definition:**

```
(.) :: (b -> c) -> (a -> b) -> a ->
c
```

`(.) f g = \x -> f (g x)`

**Example:**

```
> ((*2) . (+3)) $ 2
10
```

# Operators and shenanigans without funny names, yet

Notation | Signature | Description |
---|---|---|

>>= | (>>=) :: Monad m => m a -> (a -> m b) -> m b | bind |

>> | (>>) :: Monad m => m a -> m b -> m b | then |

-> | to | |

<- | bind | |

<$> | (<$>) :: Functor f => (a -> b) -> f a -> f b | fmap |

<$ | (<$) :: Functor f => a -> f b -> f a | map-replace by |

!! | (!!) :: [a] -> Int -> a | index |

! | strict | |

++ | (++) :: [a] -> [a] -> [a] | concat |

[] | ([]) :: [a] | empty list |

: | (:) :: a -> [a] -> [a] | cons |

:: | of type | |

\ | lambda | |

@ | as | |

~ | lazy |