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Returns self.

Returns the numerator.

    1   2       3+4i  <-  numerator
    - + -i  ->  ----
    2   3        6    <-  denominator

c = Complex('1/2+2/3i')  #=> ((1/2)+(2/3)*i)
n = c.numerator          #=> (3+4i)
d = c.denominator        #=> 6
n / d                    #=> ((1/2)+(2/3)*i)
Complex(Rational(n.real, d), Rational(n.imag, d))
                         #=> ((1/2)+(2/3)*i)

See 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)

Numeric#modulo is an alias for Numeric#%.

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.

Convert self to locale encoding

Inserts the given other_string into self; returns self.

If the Integer index is positive, inserts other_string at offset index:

'foo'.insert(1, 'bar') # => "fbaroo"

If the Integer index is negative, counts backward from the end of self and inserts other_string at offset index+1 (that is, after self[index]):

'foo'.insert(-2, 'bar') # => "fobaro"

Returns the Integer byte-based index of the last occurrence of the given substring, or nil if none found:

'foo'.byterindex('f') # => 0
'foo'.byterindex('o') # => 2
'foo'.byterindex('oo') # => 1
'foo'.byterindex('ooo') # => nil

Returns the Integer byte-based index of the last match for the given Regexp regexp, or nil if none found:

'foo'.byterindex(/f/) # => 0
'foo'.byterindex(/o/) # => 2
'foo'.byterindex(/oo/) # => 1
'foo'.byterindex(/ooo/) # => nil

The last match means starting at the possible last position, not the last of longest matches.

'foo'.byterindex(/o+/) # => 2
$~ #=> #<MatchData "o">

To get the last longest match, needs to combine with negative lookbehind.

'foo'.byterindex(/(?<!o)o+/) # => 1
$~ #=> #<MatchData "oo">

Or String#byteindex with negative lookforward.

'foo'.byteindex(/o+(?!.*o)/) # => 1
$~ #=> #<MatchData "oo">

Integer argument offset, if given and non-negative, specifies the maximum starting byte-based position in the

string to _end_ the search:

 'foo'.byterindex('o', 0) # => nil
 'foo'.byterindex('o', 1) # => 1
 'foo'.byterindex('o', 2) # => 2
 'foo'.byterindex('o', 3) # => 2

If offset is a negative Integer, the maximum starting position in the string to end the search is the sum of the string’s length and offset:

'foo'.byterindex('o', -1) # => 2
'foo'.byterindex('o', -2) # => 1
'foo'.byterindex('o', -3) # => nil
'foo'.byterindex('o', -4) # => nil

If offset does not land on character (codepoint) boundary, IndexError is raised.

Related: String#byteindex.

Returns the byte at zero-based index as an integer, or nil if index is out of range:

s = 'abcde'   # => "abcde"
s.getbyte(0)  # => 97
s.getbyte(-1) # => 101
s.getbyte(5)  # => nil

Related: String#setbyte.

Returns a new string with the characters from self in reverse order.

'stressed'.reverse # => "desserts"

Returns self with its characters reversed:

s = 'stressed'
s.reverse! # => "desserts"
s          # => "desserts"

Returns the Symbol corresponding to str, creating the symbol if it did not previously exist. See Symbol#id2name.

"Koala".intern         #=> :Koala
s = 'cat'.to_sym       #=> :cat
s == :cat              #=> true
s = '@cat'.to_sym      #=> :@cat
s == :@cat             #=> true

This can also be used to create symbols that cannot be represented using the :xxx notation.

'cat and dog'.to_sym   #=> :"cat and dog"

Returns a centered copy of self.

If integer argument size is greater than the size (in characters) of self, returns a new string of length size that is a copy of self, centered and padded on both ends with pad_string:

'hello'.center(10)       # => "  hello   "
'  hello'.center(10)     # => "   hello  "
'hello'.center(10, 'ab') # => "abhelloaba"
'тест'.center(10)        # => "   тест   "
'こんにちは'.center(10)    # => "  こんにちは   "

If size is not greater than the size of self, returns a copy of self:

'hello'.center(5)  # => "hello"
'hello'.center(1)  # => "hello"

Related: String#ljust, String#rjust.

Returns a 2-element array containing other converted to a Float and self:

f = 3.14                 # => 3.14
f.coerce(2)              # => [2.0, 3.14]
f.coerce(2.0)            # => [2.0, 3.14]
f.coerce(Rational(1, 2)) # => [0.5, 3.14]
f.coerce(Complex(1, 0))  # => [1.0, 3.14]

Raises an exception if a type conversion fails.

Returns self modulo other as a float.

For float f and real number r, these expressions are equivalent:

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

See Numeric#divmod.

Examples:

10.0 % 2              # => 0.0
10.0 % 3              # => 1.0
10.0 % 4              # => 2.0

10.0 % -2             # => 0.0
10.0 % -3             # => -2.0
10.0 % -4             # => -2.0

10.0 % 4.0            # => 2.0
10.0 % Rational(4, 1) # => 2.0

Float#modulo is an alias for Float#%.

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

When ndigits is positive, returns a float with ndigits digits after the decimal point (as available):

f = 12345.6789
f.floor(1) # => 12345.6
f.floor(3) # => 12345.678
f = -12345.6789
f.floor(1) # => -12345.7
f.floor(3) # => -12345.679

When ndigits is non-positive, returns an integer with at least ndigits.abs trailing zeros:

f = 12345.6789
f.floor(0)  # => 12345
f.floor(-3) # => 12000
f = -12345.6789
f.floor(0)  # => -12346
f.floor(-3) # => -13000

Note that the limited precision of floating-point arithmetic may lead to surprising results:

(0.3 / 0.1).floor  #=> 2 (!)

Related: Float#ceil.

Returns true if float is 0.0.

Returns the numerator. The result is machine dependent.

n = 0.3.numerator    #=> 5404319552844595
d = 0.3.denominator  #=> 18014398509481984
n.fdiv(d)            #=> 0.3

See also Float#denominator.

Forces the fiber to be blocking for the duration of the block. Returns the result of the block.

See the “Non-blocking fibers” section in class docs for details.

Returns true if fiber is blocking and false otherwise. Fiber is non-blocking if it was created via passing blocking: false to Fiber.new, or via Fiber.schedule.

Note that, even if the method returns false, the fiber behaves differently only if Fiber.scheduler is set in the current thread.

See the “Non-blocking fibers” section in class docs for details.

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