struct BitArray

Overview

BitArray is an array data structure that compactly stores bits.

Bits externally represented as Bools are stored internally as UInt32s. The total number of bits stored is set at creation and is immutable.

NOTE To use BitArray, you must explicitly import it with require "bit_array"

Example

require "bit_array"

ba = BitArray.new(12) # => "BitArray[000000000000]"
ba[2]                 # => false
0.upto(5) { |i| ba[i * 2] = true }
ba    # => "BitArray[101010101010]"
ba[2] # => true

Included Modules

Defined in:

bit_array.cr

Constructors

Instance Method Summary

Instance methods inherited from module Indexable::Mutable(Bool)

[]=(index : Int, value : T) : T []=, fill(value : T, start : Int, count : Int) : self
fill(value : T, range : Range) : self
fill(value : T) : self
fill(start : Int, count : Int, & : Int32 -> T) : self
fill(range : Range, & : Int32 -> T) : self
fill(*, offset : Int = 0, & : Int32 -> T) : self
fill
, map!(& : T -> _) : self map!, map_with_index!(offset = 0, & : T, Int32 -> _) : self map_with_index!, reverse! : self reverse!, rotate!(n : Int = 1) : self rotate!, shuffle!(random : Random = Random::DEFAULT) : self shuffle!, sort! : self
sort!(&block : T, T -> U) : self forall U
sort!
, sort_by!(&block : T -> _) : self sort_by!, swap(index0 : Int, index1 : Int) : self swap, unsafe_put(index : Int, value : T) unsafe_put, unstable_sort! : self
unstable_sort!(&block : T, T -> U) : self forall U
unstable_sort!
, unstable_sort_by!(&block : T -> _) : self unstable_sort_by!, update(index : Int, & : T -> _) : T update

Instance methods inherited from module Indexable(Bool)

[](index : Int) [], []?(index : Int) []?, bsearch(& : T -> _) bsearch, bsearch_index(& : T, Int32 -> _) bsearch_index, cartesian_product(*others : Indexable) cartesian_product, combinations(size : Int = self.size) combinations, dig(index : Int, *subindexes) dig, dig?(index : Int, *subindexes) dig?, each(& : T -> )
each
each(*, start : Int, count : Int, & : T -> )
each(*, within range : Range, & : T -> )
each
, each_cartesian(*others : Indexable, &)
each_cartesian(*others : Indexable)
each_cartesian
, each_combination(size : Int = self.size, reuse = false, &) : Nil
each_combination(size : Int = self.size, reuse = false)
each_combination
, each_index(& : Int32 -> ) : Nil
each_index
each_index(*, start : Int, count : Int, &)
each_index
, each_permutation(size : Int = self.size, reuse = false, &) : Nil
each_permutation(size : Int = self.size, reuse = false)
each_permutation
, each_repeated_combination(size : Int = self.size, reuse = false, &) : Nil
each_repeated_combination(size : Int = self.size, reuse = false)
each_repeated_combination
, empty? : Bool empty?, equals?(other : Indexable, &) : Bool
equals?(other, &)
equals?
, fetch(index : Int, &)
fetch(index, default)
fetch
, first(&) first, hash(hasher) hash, index(object, offset : Int = 0)
index(offset : Int = 0, & : T -> )
index
, index!(obj, offset : Int = 0)
index!(offset : Int = 0, & : T -> )
index!
, join(separator : String | Char | Number = "") : String join, last : T
last(&)
last
, last? : T | Nil last?, permutations(size : Int = self.size) : Array(Array(T)) permutations, repeated_combinations(size : Int = self.size) : Array(Array(T)) repeated_combinations, reverse_each(& : T -> ) : Nil
reverse_each
reverse_each
, rindex(value, offset = size - 1)
rindex(offset = size - 1, & : T -> )
rindex
, rindex!(value, offset = size - 1)
rindex!(offset = size - 1, & : T -> )
rindex!
, sample(n : Int, random : Random = Random::DEFAULT) : Array(T)
sample(random : Random = Random::DEFAULT)
sample
, size size, to_a : Array(T)
to_a(& : T -> U) : Array(U) forall U
to_a
, unsafe_fetch(index : Int) unsafe_fetch, values_at(*indexes : Int) values_at

Class methods inherited from module Indexable(Bool)

cartesian_product(indexables : Indexable(Indexable)) cartesian_product, each_cartesian(indexables : Indexable(Indexable), reuse = false, &)
each_cartesian(indexables : Indexable(Indexable), reuse = false)
each_cartesian

Instance methods inherited from module Enumerable(Bool)

accumulate(initial : U) : Array(U) forall U
accumulate : Array(T)
accumulate(initial : U, &block : U, T -> U) : Array(U) forall U
accumulate(&block : T, T -> T) : Array(T)
accumulate
, all?(& : T -> ) : Bool
all?(pattern) : Bool
all? : Bool
all?
, any?(& : T -> ) : Bool
any?(pattern) : Bool
any? : Bool
any?
, chunks(&block : T -> U) forall U chunks, compact_map(& : T -> _) compact_map, count(& : T -> ) : Int32
count(item) : Int32
count
, cycle(n, & : T -> ) : Nil
cycle(& : T -> ) : Nil
cycle
, each(& : T -> ) each, each_cons(count : Int, reuse = false, &) each_cons, each_cons_pair(& : T, T -> ) : Nil each_cons_pair, each_slice(count : Int, reuse = false, &) each_slice, each_step(n : Int, *, offset : Int = 0, & : T -> ) : Nil each_step, each_with_index(offset = 0, &) each_with_index, each_with_object(obj : U, & : T, U -> ) : U forall U each_with_object, empty? : Bool empty?, find(if_none = nil, & : T -> ) find, find!(& : T -> ) : T find!, find_value(if_none = nil, & : T -> ) find_value, first(&)
first(count : Int) : Array(T)
first : T
first
, first? : T | Nil first?, flat_map(& : T -> _) flat_map, group_by(& : T -> U) forall U group_by, in_groups_of(size : Int, filled_up_with : U = nil) forall U
in_groups_of(size : Int, filled_up_with : U = nil, reuse = false, &) forall U
in_groups_of
, in_slices_of(size : Int) : Array(Array(T)) in_slices_of, includes?(obj) : Bool includes?, index(& : T -> ) : Int32 | Nil
index(obj) : Int32 | Nil
index
, index!(& : T -> ) : Int32
index!(obj) : Int32
index!
, index_by(& : T -> U) : Hash(U, T) forall U index_by, join(io : IO, separator = "") : Nil
join(separator, io : IO) : Nil
join(separator = "") : String
join(io : IO, separator = "", & : T, IO -> )
join(separator, io : IO, &)
join(separator = "", & : T -> )
join
, map(& : T -> U) : Array(U) forall U map, map_with_index(offset = 0, & : T, Int32 -> U) : Array(U) forall U map_with_index, max(count : Int) : Array(T)
max : T
max
, max? : T | Nil max?, max_by(& : T -> U) : T forall U max_by, max_by?(& : T -> U) : T | Nil forall U max_by?, max_of(& : T -> U) : U forall U max_of, max_of?(& : T -> U) : U | Nil forall U max_of?, min(count : Int) : Array(T)
min : T
min
, min? : T | Nil min?, min_by(& : T -> U) : T forall U min_by, min_by?(& : T -> U) : T | Nil forall U min_by?, min_of(& : T -> U) : U forall U min_of, min_of?(& : T -> U) : U | Nil forall U min_of?, minmax : Tuple(T, T) minmax, minmax? : Tuple(T | Nil, T | Nil) minmax?, minmax_by(& : T -> U) : Tuple(T, T) forall U minmax_by, minmax_by?(& : T -> U) : Tuple(T, T) | Tuple(Nil, Nil) forall U minmax_by?, minmax_of(& : T -> U) : Tuple(U, U) forall U minmax_of, minmax_of?(& : T -> U) : Tuple(U, U) | Tuple(Nil, Nil) forall U minmax_of?, none?(& : T -> ) : Bool
none?(pattern) : Bool
none? : Bool
none?
, one?(& : T -> ) : Bool
one?(pattern) : Bool
one? : Bool
one?
, partition(& : T -> ) : Tuple(Array(T), Array(T))
partition(type : U.class) forall U
partition
, present? : Bool present?, product(initial : Number)
product
product(initial : Number, & : T -> )
product(& : T -> _)
product
, reduce(memo, &)
reduce(&)
reduce
, reduce?(&) reduce?, reject(& : T -> )
reject(type : U.class) forall U
reject(pattern) : Array(T)
reject
, sample(n : Int, random : Random = Random::DEFAULT) : Array(T)
sample(random : Random = Random::DEFAULT) : T
sample
, select(& : T -> )
select(type : U.class) : Array(U) forall U
select(pattern) : Array(T)
select
, size : Int32 size, skip(count : Int) skip, skip_while(& : T -> ) : Array(T) skip_while, sum(initial)
sum
sum(initial, & : T -> )
sum(& : T -> )
sum
, take_while(& : T -> ) : Array(T) take_while, tally(hash)
tally : Hash(T, Int32)
tally
, tally_by(hash, &)
tally_by(&block : T -> U) : Hash(U, Int32) forall U
tally_by
, to_a : Array(T)
to_a(& : T -> U) : Array(U) forall U
to_a
, to_h
to_h(& : T -> Tuple(K, V)) forall K, V
to_h
, to_set : Set(T)
to_set(&block : T -> U) : Set(U) forall U
to_set
, zip(*others : Indexable | Iterable | Iterator, &)
zip(*others : Indexable | Iterable | Iterator)
zip
, zip?(*others : Indexable | Iterable | Iterator, &)
zip?(*others : Indexable | Iterable | Iterator)
zip?

Class methods inherited from module Enumerable(Bool)

element_type(x) element_type

Instance methods inherited from module Iterable(Bool)

chunk(reuse = false, &block : T -> U) forall U chunk, chunk_while(reuse : Bool | Array(T) = false, &block : T, T -> B) forall B chunk_while, cycle(n)
cycle
cycle
, each each, each_cons(count : Int, reuse = false) each_cons, each_cons_pair each_cons_pair, each_slice(count : Int, reuse = false) each_slice, each_step(n : Int)
each_step(n : Int, *, offset : Int)
each_step
, each_with_index(offset = 0) each_with_index, each_with_object(obj) each_with_object, slice_after(reuse : Bool | Array(T) = false, &block : T -> B) forall B
slice_after(pattern, reuse : Bool | Array(T) = false)
slice_after
, slice_before(reuse : Bool | Array(T) = false, &block : T -> B) forall B
slice_before(pattern, reuse : Bool | Array(T) = false)
slice_before
, slice_when(reuse : Bool | Array(T) = false, &block : T, T -> B) forall B slice_when

Instance methods inherited from struct Struct

==(other) : Bool ==, hash(hasher) hash, inspect(io : IO) : Nil inspect, pretty_print(pp) : Nil pretty_print, to_s(io : IO) : Nil to_s

Instance methods inherited from struct Value

==(other : JSON::Any)
==(other : YAML::Any)
==(other)
==
, dup dup

Instance methods inherited from class Object

! : Bool !, !=(other) !=, !~(other) !~, ==(other) ==, ===(other : JSON::Any)
===(other : YAML::Any)
===(other)
===
, =~(other) =~, as(type : Class) as, as?(type : Class) as?, class class, dup dup, hash(hasher)
hash
hash
, in?(collection : Object) : Bool
in?(*values : Object) : Bool
in?
, inspect(io : IO) : Nil
inspect : String
inspect
, is_a?(type : Class) : Bool is_a?, itself itself, nil? : Bool nil?, not_nil!(message)
not_nil!
not_nil!
, pretty_inspect(width = 79, newline = "\n", indent = 0) : String pretty_inspect, pretty_print(pp : PrettyPrint) : Nil pretty_print, responds_to?(name : Symbol) : Bool responds_to?, tap(&) tap, to_json(io : IO) : Nil
to_json : String
to_json
, to_pretty_json(indent : String = " ") : String
to_pretty_json(io : IO, indent : String = " ") : Nil
to_pretty_json
, to_s(io : IO) : Nil
to_s : String
to_s
, to_yaml(io : IO) : Nil
to_yaml : String
to_yaml
, try(&) try, unsafe_as(type : T.class) forall T unsafe_as

Class methods inherited from class Object

from_json(string_or_io, root : String)
from_json(string_or_io)
from_json
, from_yaml(string_or_io : String | IO) from_yaml

Macros inherited from class Object

class_getter(*names, &block) class_getter, class_getter!(*names) class_getter!, class_getter?(*names, &block) class_getter?, class_property(*names, &block) class_property, class_property!(*names) class_property!, class_property?(*names, &block) class_property?, class_setter(*names) class_setter, def_clone def_clone, def_equals(*fields) def_equals, def_equals_and_hash(*fields) def_equals_and_hash, def_hash(*fields) def_hash, delegate(*methods, to object) delegate, forward_missing_to(delegate) forward_missing_to, getter(*names, &block) getter, getter!(*names) getter!, getter?(*names, &block) getter?, property(*names, &block) property, property!(*names) property!, property?(*names, &block) property?, setter(*names) setter

Constructor Detail

def self.new(size : Int, initial : Bool = false) #

Creates a new BitArray of size bits.

initial optionally sets the starting value, true or false, for all bits in the array.


[View source]
def self.new(size : Int, & : Int32 -> _) #

Creates a new BitArray of size bits and invokes the given block once for each index of self, setting the bit at that index to true if the block is truthy.

BitArray.new(5) { |i| i >= 3 }     # => BitArray[00011]
BitArray.new(6) { |i| i if i < 2 } # => BitArray[110000]

[View source]

Instance Method Detail

def ==(other : BitArray) #

[View source]
def [](start : Int, count : Int) : BitArray #

Returns count or less (if there aren't enough) elements starting at the given start index.

Negative indices count backward from the end of the array (-1 is the last element). Additionally, an empty array is returned when the starting index for an element range is at the end of the array.

Raises IndexError if the starting index is out of range.

require "bit_array"

ba = BitArray.new(5)
ba[0] = true; ba[2] = true; ba[4] = true
ba # => BitArray[10101]

ba[-3, 3] # => BitArray[101]
ba[6, 1]  # raise indexError
ba[1, 2]  # => BitArray[01]
ba[5, 1]  # => BitArray[]

[View source]
def [](range : Range) : BitArray #

Returns all elements that are within the given range.

Negative indices count backward from the end of the array (-1 is the last element). Additionally, an empty array is returned when the starting index for an element range is at the end of the array.

Raises IndexError if the starting index is out of range.

require "bit_array"

ba = BitArray.new(5)
ba[0] = true; ba[2] = true; ba[4] = true
ba # => BitArray[10101]

ba[1..3]    # => BitArray[010]
ba[4..7]    # => BitArray[1]
ba[6..10]   # raise IndexError
ba[5..10]   # => BitArray[]
ba[-2...-1] # => BitArray[0]

[View source]
def []=(index : Int, value : Bool) : Bool #

Sets the given value at the given index. Returns value.

Negative indices can be used to start counting from the end of the container. Raises IndexError if trying to set an element outside the container's range.

ary = [1, 2, 3]
ary[0] = 5
ary # => [5, 2, 3]

ary[3] = 5 # raises IndexError

[View source]
def all? : Bool #

Returns true if all of the elements of the collection are truthy.

[nil, true, 99].all? # => false
[15].all?            # => true

[View source]
def any? : Bool #

Returns true if at least one of the collection's members is truthy.

[nil, true, 99].any? # => true
[nil, false].any?    # => false
([] of Int32).any?   # => false
  • #present? does not consider truthiness of elements.
  • #any?(&) and #any(pattern) allow custom conditions.

NOTE #any? usually has the same semantics as #present?. They only differ if the element type can be falsey (i.e. T <= Nil || T <= Pointer || T <= Bool). It's typically advised to prefer #present? unless these specific truthiness semantics are required.


[View source]
def count(item : Bool) : Int32 #

Returns the number of times that item is present in the bit array.

ba = BitArray.new(12, true)
ba[3] = false
ba[7] = false
ba.count(true)  # => 10
ba.count(false) # => 2

[View source]
def dup #

Returns a new BitArray with all of the same elements.


[View source]
def fill(value : Bool, start : Int, count : Int) : self #

Replaces count or less (if there aren't enough) elements starting at the given start index with value. Returns self.

Negative values of start count from the end of the container.

Raises IndexError if the start index is out of range.

Raises ArgumentError if count is negative.

array = [1, 2, 3, 4, 5]
array.fill(9, 2, 2) # => [1, 2, 9, 9, 5]
array               # => [1, 2, 9, 9, 5]

[View source]
def fill(value : Bool) : self #

Replaces every element in self with the given value. Returns self.

array = [1, 2, 3, 4]
array.fill(2) # => [2, 2, 2, 2]
array         # => [2, 2, 2, 2]

[View source]
def hash(hasher) #

[View source]
def includes?(obj : Bool) : Bool #

Returns true if the collection contains obj, false otherwise.

ba = BitArray.new(8, true)
ba.includes?(true)  # => true
ba.includes?(false) # => false

[View source]
def index(obj : Bool, offset : Int = 0) : Int32 | Nil #

Returns the index of the first appearance of obj in self starting from the given offset, or nil if the value is not in self.

ba = BitArray.new(16)
ba[5] = ba[11] = true
ba.index(true)             # => 5
ba.index(true, offset: 8)  # => 11
ba.index(true, offset: 12) # => nil

[View source]
def inspect(io : IO) : Nil #

Creates a string representation of self.

require "bit_array"

ba = BitArray.new(5)
ba.to_s # => "BitArray[00000]"

[View source]
def invert : Nil #

Inverts all bits in the array. Falses become true and vice versa.

require "bit_array"

ba = BitArray.new(5)
ba[2] = true; ba[3] = true
ba # => BitArray[00110]
ba.invert
ba # => BitArray[11001]

[View source]
def none? : Bool #

Returns true if all of the elements of the collection are falsey.

[nil, false].none?       # => true
[nil, false, true].none? # => false

It's the opposite of #all?.


[View source]
def one? : Bool #

Returns true if only one element in this enumerable is truthy.

[1, false, false].one? # => true
[1, false, 3].one?     # => false
[1].one?               # => true
[false].one?           # => false

[View source]
def reverse! : self #

Reverses in-place all the elements of self. Returns self.


[View source]
def rindex(obj : Bool, offset : Int = size - 1) : Int32 | Nil #

Returns the index of the last appearance of obj in self, or nil if obj is not in self.

If offset is given, the search starts from that index towards the first elements in self.

ba = BitArray.new(16)
ba[5] = ba[11] = true
ba.rindex(true)            # => 11
ba.rindex(true, offset: 8) # => 5
ba.rindex(true, offset: 4) # => nil

[View source]
def rotate!(n : Int = 1) : self #

Shifts all elements of self to the left n times. Returns self.

a1 = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
a2 = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
a3 = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]

a1.rotate!
a2.rotate!(1)
a3.rotate!(3)

a1 # => [1, 2, 3, 4, 5, 6, 7, 8, 9, 0]
a2 # => [1, 2, 3, 4, 5, 6, 7, 8, 9, 0]
a3 # => [3, 4, 5, 6, 7, 8, 9, 0, 1, 2]

[View source]
def size : Int32 #

The number of bits the BitArray stores


[View source]
def tally(hash) #

Tallies the collection. Accepts a hash to count occurrences. The value corresponding to each element must be an integer. The number of occurrences is added to each value in hash, and hash is returned.

hash = {} of Char => Int32
words = ["crystal", "ruby"]
words.each { |word| word.chars.tally(hash) }
hash # => {'c' => 1, 'r' => 2, 'y' => 2, 's' => 1, 't' => 1, 'a' => 1, 'l' => 1, 'u' => 1, 'b' => 1}

[View source]
def tally : Hash(Bool, Int32) #

Tallies the collection. Returns a hash where the keys are the elements and the values are numbers of elements in the collection that correspond to the key.

["a", "b", "c", "b"].tally # => {"a"=>1, "b"=>2, "c"=>1}

[View source]
def to_s(io : IO) : Nil #

Creates a string representation of self.

require "bit_array"

ba = BitArray.new(5)
ba.to_s # => "BitArray[00000]"

[View source]
def to_slice : Bytes #

Returns a Bytes able to read and write bytes from a buffer. The slice will be long enough to hold all the bits groups in bytes despite the UInt32 internal representation. It's useful for reading and writing a bit array from a byte buffer directly.

WARNING It is undefined behaviour to set any of the unused bits of a bit array to true via a slice.


[View source]
def toggle(start : Int, count : Int) #

Toggles count or less (if there aren't enough) bits starting at the given start index. A false bit becomes a true bit, and vice versa.

Negative indices count backward from the end of the array (-1 is the last element).

Raises IndexError if index is out of range. Raises ArgumentError if count is a negative number.

require "bit_array"

ba = BitArray.new(5)
ba.to_s # => "BitArray[00000]"
ba.toggle(1, 3)
ba.to_s # => "BitArray[01110]"

[View source]
def toggle(range : Range) #

Toggles all bits that are within the given range. A false bit becomes a true bit, and vice versa.

Negative indices count backward from the end of the array (-1 is the last element).

Raises IndexError if the starting index is out of range.

require "bit_array"

ba = BitArray.new(5)
ba.to_s # => "BitArray[00000]"
ba.toggle(1..-2)
ba.to_s # => "BitArray[01110]"

[View source]
def toggle(index) : Nil #

Toggles the bit at the given index. A false bit becomes a true bit, and vice versa.

Negative indices count backward from the end of the array (-1 is the last element).

Raises IndexError if index is out of range.

require "bit_array"

ba = BitArray.new(5)
ba[3] # => false
ba.toggle(3)
ba[3] # => true

[View source]
def unsafe_fetch(index : Int) : Bool #
Description copied from module Indexable(Bool)

Returns the element at the given index, without doing any bounds check.

Indexable makes sure to invoke this method with index in 0...size, so converting negative indices to positive ones is not needed here.

Clients never invoke this method directly. Instead, they access elements with #[](index) and #[]?(index).

This method should only be directly invoked if you are absolutely sure the index is in bounds, to avoid a bounds check for a small boost of performance.


[View source]
def unsafe_put(index : Int, value : Bool) #
Description copied from module Indexable::Mutable(Bool)

Sets the element at the given index to value, without doing any bounds check.

Indexable::Mutable makes sure to invoke this method with index in 0...size, so converting negative indices to positive ones is not needed here.

Clients never invoke this method directly. Instead, they modify elements with #[]=(index, value).

This method should only be directly invoked if you are absolutely sure the index is in bounds, to avoid a bounds check for a small boost of performance.


[View source]