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Returns a new Array containing only those elements from self that are not found in any of the Arrays other_arrays; items are compared using eql?; order from self is preserved:

[0, 1, 1, 2, 1, 1, 3, 1, 1].difference([1]) # => [0, 2, 3]
[0, 1, 2, 3].difference([3, 0], [1, 3]) # => [2]
[0, 1, 2].difference([4]) # => [0, 1, 2]

Returns a copy of self if no arguments given.

Related: Array#-.

Returns a new Array containing each element found both in self and in all of the given Arrays other_arrays; duplicates are omitted; items are compared using eql? (items must also implement hash correctly):

[0, 1, 2, 3].intersection([0, 1, 2], [0, 1, 3]) # => [0, 1]
[0, 0, 1, 1, 2, 3].intersection([0, 1, 2], [0, 1, 3]) # => [0, 1]

Preserves order from self:

[0, 1, 2].intersection([2, 1, 0]) # => [0, 1, 2]

Returns a copy of self if no arguments given.

Related: Array#&.

Returns true if the array and other_ary have at least one element in common, otherwise returns false:

a = [ 1, 2, 3 ]
b = [ 3, 4, 5 ]
c = [ 5, 6, 7 ]
a.intersect?(b)   #=> true
a.intersect?(c)   #=> false

Array elements are compared using eql? (items must also implement hash correctly).

Inserts given objects before or after the element at Integer index offset; returns self.

When index is non-negative, inserts all given objects before the element at offset index:

a = [:foo, 'bar', 2]
a.insert(1, :bat, :bam) # => [:foo, :bat, :bam, "bar", 2]

Extends the array if index is beyond the array (index >= self.size):

a = [:foo, 'bar', 2]
a.insert(5, :bat, :bam)
a # => [:foo, "bar", 2, nil, nil, :bat, :bam]

Does nothing if no objects given:

a = [:foo, 'bar', 2]
a.insert(1)
a.insert(50)
a.insert(-50)
a # => [:foo, "bar", 2]

When index is negative, inserts all given objects after the element at offset index+self.size:

a = [:foo, 'bar', 2]
a.insert(-2, :bat, :bam)
a # => [:foo, "bar", :bat, :bam, 2]

Returns a new Array with the elements of self in reverse order:

a = ['foo', 'bar', 'two']
a1 = a.reverse
a1 # => ["two", "bar", "foo"]

Reverses self in place:

a = ['foo', 'bar', 'two']
a.reverse! # => ["two", "bar", "foo"]

Calls the block, if given, with each element of self; returns a new Array containing those elements of self for which the block returns a truthy value:

a = [:foo, 'bar', 2, :bam]
a1 = a.select {|element| element.to_s.start_with?('b') }
a1 # => ["bar", :bam]

Returns a new Enumerator if no block given:

a = [:foo, 'bar', 2, :bam]
a.select # => #<Enumerator: [:foo, "bar", 2, :bam]:select>

Calls the block, if given with each element of self; removes from self those elements for which the block returns false or nil.

Returns self if any elements were removed:

a = [:foo, 'bar', 2, :bam]
a.select! {|element| element.to_s.start_with?('b') } # => ["bar", :bam]

Returns nil if no elements were removed.

Returns a new Enumerator if no block given:

a = [:foo, 'bar', 2, :bam]
a.select! # => #<Enumerator: [:foo, "bar", 2, :bam]:select!>

When invoked with a block, yield all permutations of elements of self; returns self. The order of permutations is indeterminate.

When a block and an in-range positive Integer argument n (0 < n <= self.size) are given, calls the block with all n-tuple permutations of self.

Example:

a = [0, 1, 2]
a.permutation(2) {|permutation| p permutation }

Output:

[0, 1]
[0, 2]
[1, 0]
[1, 2]
[2, 0]
[2, 1]

Another example:

a = [0, 1, 2]
a.permutation(3) {|permutation| p permutation }

Output:

[0, 1, 2]
[0, 2, 1]
[1, 0, 2]
[1, 2, 0]
[2, 0, 1]
[2, 1, 0]

When n is zero, calls the block once with a new empty Array:

a = [0, 1, 2]
a.permutation(0) {|permutation| p permutation }

Output:

[]

When n is out of range (negative or larger than self.size), does not call the block:

a = [0, 1, 2]
a.permutation(-1) {|permutation| fail 'Cannot happen' }
a.permutation(4) {|permutation| fail 'Cannot happen' }

When a block given but no argument, behaves the same as a.permutation(a.size):

a = [0, 1, 2]
a.permutation {|permutation| p permutation }

Output:

[0, 1, 2]
[0, 2, 1]
[1, 0, 2]
[1, 2, 0]
[2, 0, 1]
[2, 1, 0]

Returns a new Enumerator if no block given:

a = [0, 1, 2]
a.permutation # => #<Enumerator: [0, 1, 2]:permutation>
a.permutation(2) # => #<Enumerator: [0, 1, 2]:permutation(2)>

Returns an array with both a numeric and a int represented as Integer objects or Float objects.

This is achieved by converting numeric to an Integer or a Float.

A TypeError is raised if the numeric is not an Integer or a Float type.

(0x3FFFFFFFFFFFFFFF+1).coerce(42)   #=> [42, 4611686018427387904]

Returns the largest number less than or equal to self with a precision of ndigits decimal digits.

When ndigits is negative, the returned value has at least ndigits.abs trailing zeros:

555.floor(-1)  # => 550
555.floor(-2)  # => 500
-555.floor(-2) # => -600
555.floor(-3)  # => 0

Returns self when ndigits is zero or positive.

555.floor     # => 555
555.floor(50) # => 555

Related: Integer#ceil.

Returns self modulo other as a real number.

For integer n and real number r, these expressions are equivalent:

n % r
n-r*(n/r).floor
n.divmod(r)[1]

See Numeric#divmod.

Examples:

10 % 2              # => 0
10 % 3              # => 1
10 % 4              # => 2

10 % -2             # => 0
10 % -3             # => -2
10 % -4             # => -2

10 % 3.0            # => 1.0
10 % Rational(3, 1) # => (1/1)

Returns the remainder after dividing self by other.

Examples:

11.remainder(4)              # => 3
11.remainder(-4)             # => 3
-11.remainder(4)             # => -3
-11.remainder(-4)            # => -3

12.remainder(4)              # => 0
12.remainder(-4)             # => 0
-12.remainder(4)             # => 0
-12.remainder(-4)            # => 0

13.remainder(4.0)            # => 1.0
13.remainder(Rational(4, 1)) # => (1/1)

Returns true if self has a zero value, false otherwise.

Returns self.

Return the class or module refined by the receiver.

module M
  refine String do
  end
end

M.refinements[0].target # => String

Returns the Complex object created from the numerators of the real and imaginary parts of self, after converting each part to the lowest common denominator of the two:

c = Complex(Rational(2, 3), Rational(3, 4)) # => ((2/3)+(3/4)*i)
c.numerator                                 # => (8+9i)

In this example, the lowest common denominator of the two parts is 12; the two converted parts may be thought of as Rational(8, 12) and Rational(9, 12), whose numerators, respectively, are 8 and 9; so the returned value of c.numerator is Complex(8, 9).

Related: Complex#denominator.

Returns a 2-element array containing two numeric elements, formed from the two operands self and other, of a common compatible type.

Of the Core and Standard Library classes, Integer, Rational, and Complex use this implementation.

Examples:

i = 2                    # => 2
i.coerce(3)              # => [3, 2]
i.coerce(3.0)            # => [3.0, 2.0]
i.coerce(Rational(1, 2)) # => [0.5, 2.0]
i.coerce(Complex(3, 4))  # Raises RangeError.

r = Rational(5, 2)       # => (5/2)
r.coerce(2)              # => [(2/1), (5/2)]
r.coerce(2.0)            # => [2.0, 2.5]
r.coerce(Rational(2, 3)) # => [(2/3), (5/2)]
r.coerce(Complex(3, 4))  # => [(3+4i), ((5/2)+0i)]

c = Complex(2, 3)        # => (2+3i)
c.coerce(2)              # => [(2+0i), (2+3i)]
c.coerce(2.0)            # => [(2.0+0i), (2+3i)]
c.coerce(Rational(1, 2)) # => [((1/2)+0i), (2+3i)]
c.coerce(Complex(3, 4))  # => [(3+4i), (2+3i)]

Raises an exception if any type conversion fails.

Returns self.

Raises an exception if the value for freeze is neither true nor nil.

Related: Numeric#dup.

Returns self modulo other as a real number.

Of the Core and Standard Library classes, only Rational uses this implementation.

For Rational r and real number n, these expressions are equivalent:

r % n
r-n*(r/n).floor
r.divmod(n)[1]

See Numeric#divmod.

Examples:

r = Rational(1, 2)    # => (1/2)
r2 = Rational(2, 3)   # => (2/3)
r % r2                # => (1/2)
r % 2                 # => (1/2)
r % 2.0               # => 0.5

r = Rational(301,100) # => (301/100)
r2 = Rational(7,5)    # => (7/5)
r % r2                # => (21/100)
r % -r2               # => (-119/100)
(-r) % r2             # => (119/100)
(-r) %-r2             # => (-21/100)

Returns the remainder after dividing self by other.

Of the Core and Standard Library classes, only Float and Rational use this implementation.

Examples:

11.0.remainder(4)              # => 3.0
11.0.remainder(-4)             # => 3.0
-11.0.remainder(4)             # => -3.0
-11.0.remainder(-4)            # => -3.0

12.0.remainder(4)              # => 0.0
12.0.remainder(-4)             # => 0.0
-12.0.remainder(4)             # => -0.0
-12.0.remainder(-4)            # => -0.0

13.0.remainder(4.0)            # => 1.0
13.0.remainder(Rational(4, 1)) # => 1.0

Rational(13, 1).remainder(4)   # => (1/1)
Rational(13, 1).remainder(-4)  # => (1/1)
Rational(-13, 1).remainder(4)  # => (-1/1)
Rational(-13, 1).remainder(-4) # => (-1/1)

Returns true if zero has a zero value, false otherwise.

Of the Core and Standard Library classes, only Rational and Complex use this implementation.

Returns self if self is not a zero value, nil otherwise; uses method zero? for the evaluation.

The returned self allows the method to be chained:

a = %w[z Bb bB bb BB a aA Aa AA A]
a.sort {|a, b| (a.downcase <=> b.downcase).nonzero? || a <=> b }
# => ["A", "a", "AA", "Aa", "aA", "BB", "Bb", "bB", "bb", "z"]

Of the Core and Standard Library classes, Integer, Float, Rational, and Complex use this implementation.

Returns the largest number that is less than or equal to self with a precision of digits decimal digits.

Numeric implements this by converting self to a Float and invoking Float#floor.

Returns the numerator.

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