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Module BatBitSetSource

Efficient bit sets.

A bitset is an array of boolean values that can be accessed with indexes like an array but provides a better memory usage (divided by Sys.word_size; either 32 or 64) for a very small speed trade-off. It can provide efficient storage of dense sets of nonnegative integers near zero. Sparse sets should use BatSet, sets with large ranges of contiguous ints should use BatISet.

  • author Nicolas Cannasse
  • author David Teller (Boilerplate code)
Sourcetype t
Sourceval empty : unit -> t

Create an empty bitset of capacity 0, the bitset will automatically expand when needed.

Example: BitSet.empty ()

Sourceval create : int -> t

Create an empty bitset with at least an initial capacity (in number of bits).

Example: BitSet.create 0 = BitSet.empty ()

Sourceval create_full : int -> t

Create a full bitset with at least initial capacity (in number of bits). All the bit under the defined capacity will be set.

Example: BitSet.count (BitSet.create_full n) = n

Sourceval copy : t -> t

Copy a bitset : further modifications of first one will not affect the copy.

Example: let a = Bitset.create 8 in let b = BitSet.copy a in BitSet.set a 6; BitSet.mem a 6 && not (BitSet.mem b 6)

Sourceval mem : t -> int -> bool

mem s n returns true if nth-bit in the bitset s is set, or false otherwise.

Example: let a = BitSet.create_full 256 in not (BitSet.mem a 300)

Sourceval count : t -> int

count s returns the number of bits set in the bitset s. Also known as Population Count, or cardinal for sets.

Example: BitSet.count (BitSet.of_list [6;4;2;2;1]) = 4

Sourceval next_set_bit : t -> int -> int option

next_set_bit s n returns Some m when m is the next set element with index greater than or equal n, or None if no such element exists (i.e. n is greater than the largest element)

More efficient than scanning with repeated BitSet.mem.

In-place Update

These functions modify an existing bitset.

Sourceval set : t -> int -> unit

set s n sets the nth-bit in the bitset s to true.

Sourceval unset : t -> int -> unit

unset s n sets the nth-bit in the bitset s to false.

Sourceval put : t -> bool -> int -> unit

put s v n sets the nth-bit in the bitset s to v.

Sourceval toggle : t -> int -> unit

toggle s n changes the nth-bit value in the bitset s.

Sourceval intersect : t -> t -> unit

intersect s t sets s to the intersection of the sets s and t.

Sourceval unite : t -> t -> unit

unite s t sets s to the union of the sets s and t.

Sourceval differentiate : t -> t -> unit

differentiate s t removes the elements of t from s.

Sourceval differentiate_sym : t -> t -> unit

differentiate_sym s t sets s to the symmetrical difference of the sets s and t.

Return new bitset

These functions return a new bitset that shares nothing with the input bitset. This is not as efficient as the in-place update.

Sourceval add : int -> t -> t

add n s returns a copy of s with bit n true.

Sourceval remove : int -> t -> t

remove n s returns a copy of s with bit n false.

Sourceval inter : t -> t -> t

inter s t returns the intersection of sets s and t.

Sourceval union : t -> t -> t

union s t return the union of sets s and t.

Sourceval diff : t -> t -> t

diff s t returns s-t.

Sourceval sym_diff : t -> t -> t

sym_diff s t returns the symmetrical difference of s and t.

Boilerplate code

Sourceval print : 'a BatInnerIO.output -> t -> unit
Sourceval enum : t -> int BatEnum.t

enum s returns an enumeration of bits which are set in the bitset s.

Sourceval of_enum : ?cap:int -> int BatEnum.t -> t

of_enum ~cap e builds a bitset of capacity cap an enumeration of ints e.

Note: Performance of this function may be poor if enumeration is in increasing order and the max.

Sourceval of_list : ?cap:int -> int list -> t

As of_enum, but from a list

Sourceval compare : t -> t -> int

compare s1 s2 compares two bitsets using a lexicographic ordering. Highest bit indexes are compared first. The capacity of the bitsets is not important for this comparison, only the bits starting with the highest set bit and going down.

Sourceval equal : t -> t -> bool

equal s1 s2 returns true if, and only if, all bits values in s1 are the same as in s2.

Sourceval ord : t -> t -> BatOrd.order

ord s1 s2 returns BatOrd.Lt, BatOrd.Eq or BatOrd.Gt if compare s1 s2 is, respectively, < 0, 0 or > 0.

Sourceval capacity : t -> int

Internals

capacity s returns the number of bits, both set and unset, stored in s. This is guaranteed to be larger than the largest element (set bit index) in s.

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