```Issue #6758 has been updated by trans (Thomas Sawyer).

Nice, but why Object method and not Kernel method?
----------------------------------------
Feature #6758: Object#sequence
https://bugs.ruby-lang.org/issues/6758#change-28228

Author: merborne (kyo endo)
Status: Open
Priority: Normal
Assignee:
Category:
Target version:

=begin

== Object#sequence

Let me propose a new method ((*Object#sequence*)).

æ¬¡ã?®ã???????ªå??è£????((*Object#sequence*))??????æ¡??????¾ã?????

class Object
def sequence(init=true, &blk)
x = self
Enumerator.new do |y|
y << x if init
loop { y << (x = yield x) }
end
end
end

((*sequence*)) generate a sequence by applying a block recursively to the receiver object. The result is wrapped with a Enumerator object, thus it is set under lazy evaluation.

== Usage;

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1.sequence { |x| x + 2 }.take(10) # => [1, 3, 5, 7, 9, 11, 13, 15, 17, 19]

3.sequence { |x| x * 2 }.take(10) # => [3, 6, 12, 24, 48, 96, 192, 384, 768, 1536]

[0, 1].sequence { |a, b| [b, a + b] }.take(10).map(&:first) # => [0, 1, 1, 2, 3, 5, 8, 13, 21, 34]

[0, 1, 1].sequence { |a, b, c| [b, c, a + b + c] }.take(10).map(&:first) # => [0, 1, 1, 2, 4, 7, 13, 24, 44, 81]

# square root 5
a = 5
eps = 0.0001
1.0.sequence { |x| (x + a/x) / 2.0 }
.each_cons(2)
.detect { |a, b| (a - b).abs < eps }[1] # => 2.236067977499978

# Excel label
'A'.sequence { |x| x.succ }.take(30) # => ["A", "B", "C", "D", "E", "F", "G", "H", "I", "J", "K", "L", "M", "N", "O", "P", "Q", "R", "S", "T", "U", "V", "W", "X", "Y", "Z", "AA", "AB", "AC", "AD"]

# random boolean(avoid true-true sequence)
true.sequence { |prev| prev ? false : [true, false].sample }.take(20) # => [true, false, true, false, true, false, true, false, true, false, true, false, true, false, true, false, false, false, true, false]

== Some background

== ???æ¡???®ç??ç·?

Let me explain some background of this request.

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1. I introduced this method as ((*Object#repeat*)) on my Japanese blog.

1. ç§???®ã????­ã?°ã?«ã???????¦ã????¬ã?¡ã?½ã????????((*Object#repeat*))??¨ã????¦ç´¹ä»???????è¨?äº??????¬é?????

((<URL:http://melborne.github.com/2012/07/12/object-repeat-take-care-of-sequence/>))

2. Matz tweeted to the article.

> "um.. the feature is attractive, but the name is.."

2. è¨?äº???«å¯¾??????Matz?????¤ã?¶ã???????

3. I updated the article to propose ((*Object#repeat_apply*)) or ((*Object#repeat_call*)).

3. Object#repeat_apply, Object#repeat_call??????æ¡?????????¹ã??äº??????´æ?°ã??

4. Matz tweeted to the article.

> @merborne more clear. but combining two verbs is wrong. I understand naming is difficult.

4. è¨?äº???«å¯¾??????Matz?????¤ã?¶ã???????

5. Matz tweeted to the article.

> @merborne I suggest some clue lies around a word "series"..

5. è¨?äº???«å¯¾??????Matz?????¤ã?¶ã???????

> @merborne ???ç´????/series??????????????«å???????®ã????³ã???????????????????ªã??

6. I tweeted to Matz.

6. ç§??????¤ã?¶ã?????

> @yukihiro_matz you are right.. `repeated_apply` `repeated_call`?..

> @yukihiro_matz ????????????.. repeated_apply repeated_call??????..

> @yukihiro_matz clue! `series_by` ?

> @yukihiro_matz ?????³ã??! series_by ?

> @yukihiro_matz `repeated` is adjective..^^; but I don't like `repeatedly_apply`. I thought once `series_by` is good, but it would be better a method is named based on its behavior, not on its function, I think. How about `repeat_by`?

the conversation closed..

7. Ideas from other Rubyists

Some Japanese Rubyists tweeted or commented me on the name. Candidates are..

7. ä»????Rubyist??®æ??

????????«é?¢ã??ä½?äººã?????Rubyist????????¢ã?¤ã????£ã?¢ã??????????£ã?¦ã????¾ã???????ªã?¹ã????¢ã??????????¾ã?????

iterate
recur
recurrence
recur_with
unfold
sequence
seq

Haskell and Scala have the same functionality with a name of ((*iterate*)).

Also, @makotokuwata-san tweeted that ((*Kernel#seq*))(function style) or ((*Enumerator.seq()*))(a Class method) is better.