# Re-represent integer intervals with open or closed endpoints

### Description

Given an integer interval matrix, adjust endpoints so that all intervals have the requested closure status.

### Usage

1 2 3 4 5 6 7 8 9 10 11 | ```
## S4 method for signature 'Intervals_virtual'
close_intervals(x)
## S4 method for signature 'Intervals_virtual'
open_intervals(x)
## S4 method for signature 'Intervals'
adjust_closure(x, close_left = TRUE, close_right = TRUE)
## S4 method for signature 'Intervals_full'
adjust_closure(x, close_left = TRUE, close_right = TRUE)
``` |

### Arguments

`x` |
An object of appropriate class, and for which |

`close_left` |
Should the left endpoints be closed or open? |

`close_right` |
Should the right endpoints be closed or open? |

### Value

An object of the same class as `x`

, with endpoints adjusted as
necessary and all `closed(x)`

set to either `TRUE`

or
`FALSE`

, as appropriate.

### Note

The `close_intervals`

and `open_intervals`

are for
convenience, and just call `adjust_closure`

with the approriate
arguments.

The `x`

object may contain empty intervals, with at least one
open endpoint, and still be valid. (Intervals are invalid if their
second endpoint is less than their first.) The `close_intervals`

method would, in such cases, create an invalid result; to prevent
this, empty intervals are detected and removed, with a warning.

This package does not make a distinction between closed and open
infinite endpoints: an interval with an infinite endpoint extends to
(plus or minus) infinity regardless of the closure state. For example,
`distance_to_nearest`

will return a `0`

when
`Inf`

is compared to both `"[0, Inf)"`

and `"[0, Inf]"`

.

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 14 | ```
x <- Intervals(
c( 1, 5, 10, 1, 6, 20 ),
closed = c( TRUE, FALSE ),
type = "Z"
)
# Empties are dropped
close_intervals(x)
adjust_closure(x, FALSE, TRUE)
# Intervals_full
y <- as( x, "Intervals_full" )
closed(y)[1,2] <- TRUE
open_intervals(y)
``` |

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