+++
title = "2o: Normalizing Containers"
weight = 18
template = "doc.html"
+++

### `++jar`

Mold generator. A `jar` is a `map` of `list`.

#### Source

```hoon
    ++  jar  |*([a=mold b=mold] (map a (list b)))
```

#### Examples

```
    > =a (ly [1 2 ~])
    > a
    ~[1 2]

    > =b (ly [3 4 ~])
    > b
    ~[3 4]

    > =c (my [[%a a] [%b b] ~])
    > c
    [n=[p=%b q=[i=3 t=~[4]]] l={[p=%a q=[i=1 t=[i=2 t=~]]]} r={}]

    > (~(get ja c) %a)
    [i=1 t=[i=2 t=~]]

    > (~(get ja c) %c)
    ~
```

#### Discussion

See also: [`ja`](@/docs/reference/library/2j.md), [`by`](@/docs/reference/library/2i.md), [`map`](@/docs/reference/library/2i.md), [`list`](@/docs/reference/library/2b.md)

---
### `++jug`

Mold generator.  A `jug` is a `map` of `set`.

#### Source

```hoon
    ++  jug  |*([a=mold b=mold] (map a (set b)))
```

#### Examples

```
    > =a (sy [1 2 ~])
    > a
    [n=2 l={1} r={}]

    > =b (sy [3 4 ~])
    > b
    [n=4 l={} r={3}]

    > =c (my [%a a] [%b b] ~])
    > c
    [n=[p=%b q=[n=4 l={} r={3}]] l={[p=%a q=[n=2 l={1} r={}]]} r={}]

    > (~(get ju c) %b)
    [n=4 l=~ r=[n=3 l={} r={}]]

    > (~(put ju c) [%b 5])
    [ n=[p=%b q=[n=4 l=[n=5 l={} r={}] r=[n=3 l={} r={}]]]
      l=[n=[p=%a q=[n=2 l=[n=1 l={} r={}] r=~]] l={} r={}]
      r=~
    ]
```

#### Discussion

See also: [`ja`](@/docs/reference/library/2j.md), [`by`](@/docs/reference/library/2i.md), [`set`](@/docs/reference/library/2h.md)

---
### `++map`

Map

Mold generator. A `map` is a [treap](https://en.wikipedia.org/wiki/Treap) of
key-value pairs.


#### Source

```hoon
    ++  map  |*  [a=mold b=mold]
             %+  cork  (tree (pair a b))
             |=  c=(tree (pair a b))  ^+  c
             ?.(~(apt by c) ~ c)
```

#### Examples

```
    > ? *(map @t @u)
      nlr({p/@t q/@u})
    {}

    > (molt `(list (pair * *))`[[a+1 b+2] ~])
    [n=[p=[97 1] q=[98 2]] l={} r={}]
```

#### Discussion

See also: [`by`](@/docs/reference/library/2i.md)

---
### `++qeu`

Queue

Mold generator. An ordered [treap](http://en.wikipedia.org/wiki/Treap) of
items.

#### Source

```hoon
    ++  qeu  |*(a=mold (tree a))
```


#### Examples

```
    > (qeu time)
    < 1.huj
      { *
        < 1.zda
          { a/<1.vyv {* <112.lqf 224.nab 54.tyv 119.veb 31.ohr 1.jmk $143>}>
            <31.ohr 1.jmk $143>
          }
        >
      }


    > (~(gas to *(qeu time)) [~2014.1.1 ~2014.1.2 ~])
    [n=~2014.1.2 l={} r={~2014.1.1}]
```

#### Discussion

See also: [`qeu`](@/docs/reference/library/2k.md)

---
### `++set`

Set

Mold generator. A `qeu` is an ordered [treap](http://en.wikipedia.org/wiki/Treap) of
items.

#### Source

```hoon
    ++  set  |*  a=mold
             %+  cork  (tree a)
             |=  b=(tree a)  ^+  b
             ?.(~(apt in b) ~ b)
```

#### Examples

```
    > (sy "abc")
    [n='b' l={'a' 'c'} r={}]

    > (~(put in (sy "abc")) %d)
    [n='b' l=[n='d' l={} r={'a' 'c'}] r=~]

    > (~(put in (sy "abc")) %a)
    [n='b' l=[n='c' l={'a'} r={}] r=~]
```

#### Discussion

See also: [`in`](@/docs/reference/library/2h.md)

---