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* lib/prime.rb: Indent examples enough to appear as code sections.
Note that Prime is Enumerable. [#4762] git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@31880 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
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2 changed files with 37 additions and 18 deletions
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@ -1,3 +1,8 @@
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Wed Jun 1 09:21:30 2011 Eric Hodel <drbrain@segment7.net>
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* lib/prime.rb: Indent examples enough to appear as code sections.
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Note that Prime is Enumerable. [#4762]
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Wed Jun 1 07:34:57 2011 Eric Hodel <drbrain@segment7.net>
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* hash.c (key_i): Change rdoc from "the first occurence" to "an
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50
lib/prime.rb
50
lib/prime.rb
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@ -46,11 +46,17 @@ end
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# The set of all prime numbers.
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#
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# == Example
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# Prime.each(100) do |prime|
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# p prime #=> 2, 3, 5, 7, 11, ...., 97
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# end
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#
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# Prime.each(100) do |prime|
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# p prime #=> 2, 3, 5, 7, 11, ...., 97
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# end
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#
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# Prime is Enumerable:
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#
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# Prime.first 5 # => [2, 3, 5, 7, 11]
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#
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# == Retrieving the instance
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#
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# +Prime+.new is obsolete. Now +Prime+ has the default instance and you can
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# access it as +Prime+.instance.
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#
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@ -58,10 +64,11 @@ end
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# as a class method of +Prime+.
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#
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# e.g.
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# Prime.instance.prime?(2) #=> true
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# Prime.prime?(2) #=> true
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# Prime.instance.prime?(2) #=> true
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# Prime.prime?(2) #=> true
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#
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# == Generators
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#
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# A "generator" provides an implementation of enumerating pseudo-prime
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# numbers and it remembers the position of enumeration and upper bound.
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# Futhermore, it is a external iterator of prime enumeration which is
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@ -80,6 +87,7 @@ end
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# is faster and uses much less memory than other generators. So,
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# it is suitable for factorizing an integer which is not large but
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# has many prime factors. e.g. for Prime#prime? .
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class Prime
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include Enumerable
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@the_instance = Prime.new
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@ -105,6 +113,7 @@ class Prime
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# Iterates the given block over all prime numbers.
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#
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# == Parameters
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#
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# +ubound+::
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# Optional. An arbitrary positive number.
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# The upper bound of enumeration. The method enumerates
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@ -113,11 +122,13 @@ class Prime
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# Optional. An implementation of pseudo-prime generator.
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#
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# == Return value
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#
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# An evaluated value of the given block at the last time.
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# Or an enumerator which is compatible to an +Enumerator+
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# if no block given.
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#
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# == Description
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#
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# Calls +block+ once for each prime number, passing the prime as
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# a parameter.
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#
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# yields all prime numbers p <= +ubound+.
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#
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# == Note
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#
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# +Prime+.+new+ returns a object extended by +Prime+::+OldCompatibility+
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# in order to compatibility to Ruby 1.8, and +Prime+#each is overwritten
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# by +Prime+::+OldCompatibility+#+each+.
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# Returns true if +value+ is prime, false for a composite.
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#
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# == Parameters
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#
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# +value+:: an arbitrary integer to be checked.
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# +generator+:: optional. A pseudo-prime generator.
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def prime?(value, generator = Prime::Generator23.new)
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# and a natural number -- an exponent.
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#
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# == Example
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# For [[p_1, e_1], [p_2, e_2], ...., [p_n, e_n]], it returns
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# p_1**e_1 * p_2**e_2 * .... * p_n**e_n.
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# For <tt>[[p_1, e_1], [p_2, e_2], ...., [p_n, e_n]]</tt>, it returns:
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#
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# Prime.int_from_prime_division([[2,2], [3,1]]) #=> 12
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# p_1**e_1 * p_2**e_2 * .... * p_n**e_n.
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#
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# Prime.int_from_prime_division([[2,2], [3,1]]) #=> 12
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def int_from_prime_division(pd)
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pd.inject(1){|value, (prime, index)|
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value *= prime**index
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# +ZeroDivisionError+:: when +value+ is zero.
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#
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# == Example
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# For an arbitrary integer
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# n = p_1**e_1 * p_2**e_2 * .... * p_n**e_n,
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# prime_division(n) returns
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# [[p_1, e_1], [p_2, e_2], ...., [p_n, e_n]].
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# For an arbitrary integer:
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#
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# Prime.prime_division(12) #=> [[2,2], [3,1]]
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# n = p_1**e_1 * p_2**e_2 * .... * p_n**e_n,
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#
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# prime_division(n) returns:
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#
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# [[p_1, e_1], [p_2, e_2], ...., [p_n, e_n]].
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#
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# Prime.prime_division(12) #=> [[2,2], [3,1]]
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#
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def prime_division(value, generator= Prime::Generator23.new)
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raise ZeroDivisionError if value == 0
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end
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end
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# Internal use. An implementation of prime table by trial division method.
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class TrialDivision
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include Singleton
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# Overwrites Prime#each.
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#
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# Iterates the given block over all prime numbers. Note that enumeration starts from
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# the current position of internal pointer, not rewound.
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# Iterates the given block over all prime numbers. Note that enumeration
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# starts from the current position of internal pointer, not rewound.
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def each(&block)
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return @generator.dup unless block_given?
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loop do
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