Ranges of contiguous integers (integer intervals). A range is a contiguous sequence of integers from a lower bound to an upper bound. For example, `[2, 10]`

is the set of integers from 2 through 10, inclusive of 2 and 10.

`module Biocaml_range: `

`sig`

`type `

t = private {

` ` |
`lo : ` |

` ` |
`hi : ` |

Type of a range.

`exception Bad of ``string`

Raised when unable to produce a well-formed range.

`val to_list : ``t -> int list`

`to_list v`

returns the set of integers contained in `v`

, in ascending order.`val overlap : ``t -> t -> int`

`overlap u v`

returns amount of overlap between two ranges. A positive value indicates number of integers common to `u`

and `v`

. A negative value indicates the number of integers in between non-overlapping ranges. A zero value means the ranges are exactly adjacent to each other. The relation is symmetric.`val gap : ``t -> t -> int`

`gap u v`

returns the size of the gap between `u`

and `v`

. It is equivalent to the negative of `overlap`

.`val union : ``t -> t -> t list`

`union u v`

returns the ranges representing the union of `u`

and `v`

. Returned list length will be 1 if ranges have non-negative overlap or 2 if they do not. In other words, the answer is represented with the fewest possible ranges.`val intersect : ``t -> t -> t option`

`intersect u v`

returns the range representing the intersection of `u`

and `v`

. Return None if intersection is empty.`val strict_before : ``t -> t -> bool`

`strict_before u v`

is true if `u.lo < v.lo && u.hi < v.hi`

.`val strict_after : ``t -> t -> bool`

`strict_after u v`

is equivalent to `strict_before v u`

.`val compare_positional : ``t -> t -> int option`

`compare_positional u v`

returns -1 if `u`

is strictly before `v`

, 0 if `u`

is equal to `v`

, +1 if `u`

is strictly after `v`

, and returns None otherwise.`val strict_subset : ``t -> t -> bool`

`strict_subset u v`

is true if `u`

is a strict subset of `v`

.`val strict_superset : ``t -> t -> bool`

`strict_superset u v`

is true if `u`

is a strict superset of `v`

.`val compare_containment : ``t -> t -> int option`

`compare_containment u v`

returns -1 if `u`

is a strict subset of `v`

, 0 if `u`

is equal to `v`

, +1 if `u`

is a strict superset of `v`

, and returns None otherwise.`Order.compose`

allows generating others. It is suitable to pass `compare_positional`

as the first or second argument, and `compare_containment`

as the second or first, respectively, argument to this function. Also, either can be first reversed by `Order.reversep`

.`val compare_lo_then_hi : ``t -> t -> int`

Return order between

`lo`

bounds unless they are equal, in which case return order between `hi`

bounds.`val compare_lo : ``t -> t -> int`

Compare by ranges'

`lo`

bounds, ignoring `hi`

bounds.`val compare_hi : ``t -> t -> int`

Compare by ranges'

`hi`

bounds, ignoring `lo`

bounds.`val any_overlap : ``t list -> bool`

Return true if any pair of given ranges overlap each other.

`val all_positional : ``t list -> bool`

Return true if all pairs of given ranges are positionally comparable.

`val max_gap_of_positional : ``t list -> int`

Return maximum gap between adjacent pairs of given ranges. Raise

`Failure`

if any pairs of given ranges not positionally comparable, or if given less than two ranges.`val find_min_range : ``?init_direction:string ->`

t -> (t -> bool) -> int -> t option

`find_min_range v pred i`

finds the minimum sized range within `v`

centered around `i`

that satisfies `pred`

. Successively larger ranges are created starting from [i, i] and the first one to satisfy `pred`

is returned. None is returned if the given range `v`

itself is reached and `pred`

still fails. Raise `Failure`

if `i`

not within `v`

.
The first range tried is [i, i], by default the second is [i, i+1], the third [i-1, i+1], the fourth [i-1, i+2], and so on. The optional `init_direction`

must be either "fwd" or "rev". If "fwd", which is the default, the range size is initially increased in the forward direction. If "rev", the second range tried will be [i-1, i]. If the range boundary is reached on either side, the size continues to be increased by incrementing on the opposing side.

`val expand_assoc_list : ``(t * 'a) list -> (int * 'a list) list`

`exp_assoc_list dat`

returns a list associating each integer `i`

with the list of values associated with all ranges overlapping `i`

in `dat`

. The set of integers considered is the union of all in given `dat`

.`val find_regions : ``?max_gap:int ->`

('a -> bool) -> (t * 'a) list -> t list

TO DO: fill in this documentation. For now see

`Math.find_regions`

.`make_random t`

returns a random range that is a subset of `t`

. May raise `Failure`

if given range bounds exceed largest value handled by `Random`

module.`end`