Returns a new Array that is a recursive flattening of self:
Each non-Array element is unchanged.
Each Array is replaced by its individual elements.
With non-negative Integer argument level, flattens recursively through level levels:
a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten(0) # => [0, [1, [2, 3], 4], 5] a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten(1) # => [0, 1, [2, 3], 4, 5] a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten(2) # => [0, 1, 2, 3, 4, 5] a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten(3) # => [0, 1, 2, 3, 4, 5]
With no argument, a nil argument, or with negative argument level, flattens all levels:
a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten # => [0, 1, 2, 3, 4, 5] [0, 1, 2].flatten # => [0, 1, 2] a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten(-1) # => [0, 1, 2, 3, 4, 5] a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten(-2) # => [0, 1, 2, 3, 4, 5] [0, 1, 2].flatten(-1) # => [0, 1, 2]
Replaces each nested Array in self with the elements from that Array; returns self if any changes, nil otherwise.
With non-negative Integer argument level, flattens recursively through level levels:
a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten!(1) # => [0, 1, [2, 3], 4, 5] a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten!(2) # => [0, 1, 2, 3, 4, 5] a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten!(3) # => [0, 1, 2, 3, 4, 5] [0, 1, 2].flatten!(1) # => nil
With no argument, a nil argument, or with negative argument level, flattens all levels:
a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten! # => [0, 1, 2, 3, 4, 5] [0, 1, 2].flatten! # => nil a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten!(-1) # => [0, 1, 2, 3, 4, 5] a = [ 0, [ 1, [2, 3], 4 ], 5 ] a.flatten!(-2) # => [0, 1, 2, 3, 4, 5] [0, 1, 2].flatten!(-1) # => nil
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)>
Calls the block, if given, with combinations of elements of self; returns self. The order of combinations 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 combinations of self.
Example:
a = [0, 1, 2] a.combination(2) {|combination| p combination }
Output:
[0, 1] [0, 2] [1, 2]
Another example:
a = [0, 1, 2] a.combination(3) {|combination| p combination }
Output:
[0, 1, 2]
When n is zero, calls the block once with a new empty Array:
a = [0, 1, 2] a1 = a.combination(0) {|combination| p combination }
Output:
[]
When n is out of range (negative or larger than self.size), does not call the block:
a = [0, 1, 2] a.combination(-1) {|combination| fail 'Cannot happen' } a.combination(4) {|combination| fail 'Cannot happen' }
Returns a new Enumerator if no block given:
a = [0, 1, 2] a.combination(2) # => #<Enumerator: [0, 1, 2]:combination(2)>
Returns a Hash containing implementation-dependent counters inside the VM.
This hash includes information about method/constant caches:
{
:constant_cache_invalidations=>2,
:constant_cache_misses=>14,
:global_cvar_state=>27
}
If USE_DEBUG_COUNTER is enabled, debug counters will be included.
The contents of the hash are implementation specific and may be changed in the future.
This method is only expected to work on C Ruby.
Returns a 1-character string containing the character represented by the value of self, according to the given encoding.
65.chr # => "A" 0.chr # => "\x00" 255.chr # => "\xFF" string = 255.chr(Encoding::UTF_8) string.encoding # => Encoding::UTF_8
Raises an exception if self is negative.
Related: Integer#ord.
Returns self truncated (toward zero) to a precision of ndigits decimal digits.
When ndigits is negative, the returned value has at least ndigits.abs trailing zeros:
555.truncate(-1) # => 550 555.truncate(-2) # => 500 -555.truncate(-2) # => -500
Returns self when ndigits is zero or positive.
555.truncate # => 555 555.truncate(50) # => 555
Related: Integer#round.
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 self.
Returns 1.
Returns the value as a rational. The optional argument eps is always ignored.
Returns the imaginary value for self:
Complex(7).imaginary #=> 0 Complex(9, -4).imaginary #=> -4
If self was created with polar coordinates, the returned value is computed, and may be inexact:
Complex.polar(1, Math::PI/4).imag # => 0.7071067811865476 # Square root of 2.
Returns the imaginary value for self:
Complex(7).imaginary #=> 0 Complex(9, -4).imaginary #=> -4
If self was created with polar coordinates, the returned value is computed, and may be inexact:
Complex.polar(1, Math::PI/4).imag # => 0.7071067811865476 # Square root of 2.
Returns the absolute value (magnitude) for self; see polar coordinates:
Complex.polar(-1, 0).abs # => 1.0
If self was created with rectangular coordinates, the returned value is computed, and may be inexact:
Complex.rectangular(1, 1).abs # => 1.4142135623730951 # The square root of 2.
Returns the conjugate of self, Complex.rect(self.imag, self.real):
Complex.rect(1, 2).conj # => (1-2i)
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 the denominator of self, which is the least common multiple of self.real.denominator and self.imag.denominator:
Complex.rect(Rational(1, 2), Rational(2, 3)).denominator # => 6
Note that n.denominator of a non-rational numeric is 1.
Related: Complex#numerator.
Returns a Rational object whose value is exactly or approximately equivalent to that of self.real.
With no argument epsilon given, returns a Rational object whose value is exactly equal to that of self.real.rationalize:
Complex(1, 0).rationalize # => (1/1) Complex(1, Rational(0, 1)).rationalize # => (1/1) Complex(3.14159, 0).rationalize # => (314159/100000)
With argument epsilon given, returns a Rational object whose value is exactly or approximately equal to that of self.real to the given precision:
Complex(3.14159, 0).rationalize(0.1) # => (16/5) Complex(3.14159, 0).rationalize(0.01) # => (22/7) Complex(3.14159, 0).rationalize(0.001) # => (201/64) Complex(3.14159, 0).rationalize(0.0001) # => (333/106) Complex(3.14159, 0).rationalize(0.00001) # => (355/113) Complex(3.14159, 0).rationalize(0.000001) # => (7433/2366) Complex(3.14159, 0).rationalize(0.0000001) # => (9208/2931) Complex(3.14159, 0).rationalize(0.00000001) # => (47460/15107) Complex(3.14159, 0).rationalize(0.000000001) # => (76149/24239) Complex(3.14159, 0).rationalize(0.0000000001) # => (314159/100000) Complex(3.14159, 0).rationalize(0.0) # => (3537115888337719/1125899906842624)
Related: Complex#to_r.
Returns zero as a Rational:
nil.rationalize # => (0/1)
Argument eps is ignored.
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 the absolute value of self.
12.abs #=> 12 (-34.56).abs #=> 34.56 -34.56.abs #=> 34.56
Returns self truncated (toward zero) to a precision of digits decimal digits.
Numeric implements this by converting self to a Float and invoking Float#truncate.
Returns true if self is less than 0, false otherwise.