# Lattice-class

##### Class "Lattice"

Class `Lattice`

formalizes an affine linearly generated grid
of (support) points `pivot + (0:(Length-1)) * width`

;
this is used for subclass `LatticeDistribution`

of class
`DiscreteDistribution`

which in addition to the latter contains a slot
`lattice`

of class `Lattice`

.

- Keywords
- distribution

##### Usage

`Lattice(pivot = 0, width = 1, Length = 2, name = "a lattice")`

##### Arguments

- pivot
the (finite) utmost left or right value of the lattice

- width
the (finite) grid-width; if negative the lattice is expanded to the left, else to the right

- Length
the (possibly infinite) length of the lattice

- name
the (possibly empty) name of the lattice (inherited from class

`rSpace`

)

##### Objects from the Class

Objects may be generated by calling the generating function `Lattice`

.

##### Slots

`pivot`

Object of class

`"numeric"`

: --- the pivot of the lattice; must be of length 1`width`

Object of class

`"numeric"`

: --- the width of the lattice; must be of length 1 and must not be 0`Length`

Object of class

`"numeric"`

: --- the width of the lattice; must be an integer > 0 of length 1`name`

Object of class

`"character"`

: the name of the space, by default = "a lattice"

##### Extends

Class `"rSpace"`

, directly.

##### Methods

- pivot
`signature(.Object = "Lattice")`

: returns the`'pivot'`

slot- pivot<-
`signature(.Object = "Lattice")`

: modifies the`'pivot'`

slot- width
`signature(.Object = "Lattice")`

: returns the`'width'`

slot- width<-
`signature(.Object = "Lattice")`

: modifies the`'width'`

slot- Length
`signature(.Object = "Lattice")`

: returns the`'Length'`

slot- Length<-
`signature(.Object = "Lattice")`

: modifies the`'Length'`

slot

##### See Also

##### Examples

```
# NOT RUN {
L <- Lattice(pivot = 0, width = 1, Length = Inf, name = "the Naturals")
name(L)
pivot(L) <- 1 ### now starting from 1
# }
```

*Documentation reproduced from package distr, version 2.8.0, License: LGPL-3*