278 lines
8.8 KiB
Ruby
278 lines
8.8 KiB
Ruby
require 'facets/multiton'
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require 'facets/enumargs'
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#require 'facets/infinity'
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# TODO: Tie in Infinity with Interval.
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# While Ruby support the Range class out of the box, is does not quite
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# fullfil the role od a real Interval class. For instance, it does
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# not support excluding the front sentinel. This is because Range also
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# tries to do triple duty as a simple sequence and as a simple tuple-pair,
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# thus limiting its potential as an Interval. The Interval class remedies
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# the situation by commiting to interval behavior, and then extends the class'
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# capabilites beyond that of the standard Range in ways that naturally
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# fall out of that.
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#
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# Range depends on two methods: #succ and #<=>. If numeric ranges were the
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# only concern, those could just as well be #+ and #<=>, but esoteric forms
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# make that unfeasible --the obvious example being a String range. But a
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# proper Interval class requires mathematical continuation, thus the Interval
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# depends on #+ and #<=>, as well as #- as the inverse of #+.
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#
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# i = Interval.new(1,5)
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# i.to_a #=> [1,2,3,4,5]
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#
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# i = Interval[0,5]
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# i..step(2).to_a #=> [0,2,4]
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#
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# i = Interval[1,5]
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# i.step(-1).to_a #=> [5,4,3,2,1]
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#
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# i = Interval[1,3]
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# i.step(1,2).to_a #=> [1.0,1.5,2.0,2.5,3.0]
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#
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class Interval
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include Multiton
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include Enumerable::Arguments
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#
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def self.[]( *args )
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self.new( *args )
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end
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#
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def initialize(first, last, exclude_first=false, exclude_last=false )
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raise ArgumentError, "bad value for interval" if first.class != last.class
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@first = first
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@last = last
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@exclude_first = exclude_first
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@exclude_last = exclude_last
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@direction = (@last <=> @first)
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end
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# Returns a two element array of first and last sentinels.
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#
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# (0..10).sentinels #=> [0,10]
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#
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def sentinels
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return [@first, @last]
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end
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# Returns the first or last sentinal of the interval.
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def first ; @first ; end
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def last ; @last ; end
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#
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def exclude_first? ; @exclude_first ; end
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def exclude_last? ; @exclude_last ; end
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# (IMHO) these should be deprectated
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alias_method( :begin, :first )
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alias_method( :end, :last )
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alias_method( :exclude_begin?, :exclude_first? )
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alias_method( :exclude_end?, :exclude_last? )
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# Returns +true+ if the start and end sentinels are equal and the interval is closed; otherwise +false+.
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def degenerate? ; @direction == 0 and ! (@exclusive_first or @exclusive_last) ; end
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# Returns +true+ if the start and end sentinels are equal and the interval is open; otherwise +false+.
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def null? ; @direction == 0 and @exclusive_first and @exclusive_last ; end
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# Returns the direction of the interval indicated by +1, 0 or -1.
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#
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# (1..5).direction #=> 1
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# (5..1).direction #=> -1
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# (1..1).direction #=> 0
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#
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def direction ; @direction ; end
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# Returns a new interval inclusive of of both sentinels.
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def closed; Interval.new(@first, @last, true, true) ; end
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# Returns a new interval exclusive of both sentinels.
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def opened; Interval.new(@first, @last, true, true) ; end
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# Returns a new interval with either the first or the last sentinel exclusive.
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# If the parameter is false, the deafult, then the first sentinel is excluded;
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# if the parameter is true, the last sentinel is excluded.
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def half_closed(e=false)
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e ? Interval.new(@first, @last, true, false) : Interval.new(@first, @last, false, true)
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end
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# Returns a new interval with one of the two sentinels opened or closed
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def first_closed ; Interval.new(@first, @last, false, true) ; end
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def last_closed ; Interval.new(@first, @last, true, false) ; end
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def first_opened ; Interval.new(@first, @last, true, false) ; end
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def last_opened ; Interval.new(@first, @last, false, true) ; end
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# Unary shorthands. These return a new interval exclusive of first,
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# last or both sentinels, repectively.
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def +@ ; Interval.new(first, last, true, false) ; end
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def -@ ; Interval.new(first, last, false, true) ; end
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def ~@ ; Interval.new(first, last, true, true) ; end
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# Returns a new interval with the sentinels reversed.
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#
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# (0..10).reversed #=> 10..0
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#
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def reversed
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Interval.new(@last, @first, true, true)
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end
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# Returns the length of the interval as the difference between
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# the first and last elements. Returns +nil+ if the sentinal objects
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# do not support distance comparison (#distance).
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#
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# TODO: Add +n+ parameter to count segmentations like those produced by #each.
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def distance
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@last - @first
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#if @last.respond_to?( :distance )
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# @last.distance( @first )
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#else
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# #self.to_a.length
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#end
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end
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alias_method( :length, :distance )
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alias_method( :size, :distance )
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# Returns the lesser of the first and last sentinals.
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def min
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((@first <=> @last) == -1) ? @first : @last
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end
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# Returns the greater of the first and last sentinals.
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def max
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((@first <=> @last) == 1) ? @first : @last
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end
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# Returns true or false if the element is part of the interval.
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def include?(x)
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# todo: infinity?
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tf = exclude_first? ? 1 : 0
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tl = exclude_last? ? -1 : 0
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(x <=> first) >= tf and (x <=> last) <= tl
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end
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alias_method( :===, :include? )
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alias_method( :member?, :include? )
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=begin
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# def include?(x)
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# tf = exclude_first? ? 1 : 0
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# tl = exclude_last? ? -1 : 0
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# # if other classes handled Infinity in their <=> method
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# # (which probably they should) this clause would not be required
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# if first.kind_of?(InfinityClass)
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# ft = ((first <=> x) <= tf)
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# else
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# ft = (x <=> first) >= tf
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# end
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# if last.kind_of?(InfinityClass)
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# fl = ((last <=> x) >= tl)
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# else
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# fl = (x <=> last) <= tl
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# end
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# ft && fl
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# end
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=end
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# Iterates over the interval, passing each _n_th element to the block.
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# If n is not given then n defaults to 1. Each _n_th step is determined
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# by invoking +\++ or +\-+ n, depending on the direction of the interval.
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# If n is negative the iteration is preformed in reverse form end sentinal
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# to front sentinal. A second parameter, d, can be given in which case
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# the applied step is calculated as a fraction of the interval's length
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# times n / d. This allows iteration over the whole interval in equal sized
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# segments.
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#
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# 1..5.each { |e| ... } #=> 1 2 3 4 5
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# 1..5.each(2) { |e| ... } #=> 1 3 5
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# 1..5.each(1,2) { |e| ... } #=> 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
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#
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# @todo Deprecate arguments and simplify each definition accordingly.
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def each(n=nil, d=nil) # :yield:
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if n
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warn "FACETS: `interval.each(n,d){...}` will be deprecated.\n" +
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"Use `interval.step(n,d).each{...}` instead."
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else
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n = 1
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end
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return (n < 0 ? @last : @first) if degenerate? # is this right for all values of n ?
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s = d ? self.length.to_f * (n.to_f / d.to_f) : n.abs
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raise "Cannot iterate over zero length steps." if s == 0
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s = s * @direction
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if n < 0
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e = @exclude_last ? @last - s : @last
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#e = @exclude_last ? @last.pred(s) : @last
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t = @exclude_last ? 1 : 0
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#while e.cmp(@first) >= t
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while (e <=> @first) >= t
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yield(e)
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e -= s
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#e = e.pred(s)
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end
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else
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e = @exclude_first ? @first + s : @first
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#e = @exclude_first ? @first.succ(s) : @first
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t = @exclude_last ? -1 : 0
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#while e.cmp(@last) <= t
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while (e <=> @last) <= t
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yield(e)
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e += s
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#e = e.succ(s)
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end
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end
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end
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#
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def step(n=1, d=nil) # :yield:
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return (n < 0 ? @last : @first) if degenerate? # is this right for all values of n ?
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if block_given?
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s = d ? self.length.to_f * (n.to_f / d.to_f) : n.abs
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raise "Cannot iterate over zero length steps." if s == 0
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s = s * @direction
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if n < 0
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e = @exclude_last ? @last - s : @last
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#e = @exclude_last ? @last.pred(s) : @last
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t = @exclude_last ? 1 : 0
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#while e.cmp(@first) >= t
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while (e <=> @first) >= t
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yield(e)
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e -= s
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#e = e.pred(s)
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end
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else
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e = @exclude_first ? @first + s : @first
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#e = @exclude_first ? @first.succ(s) : @first
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t = @exclude_last ? -1 : 0
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#while e.cmp(@last) <= t
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while (e <=> @last) <= t
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yield(e)
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e += s
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#e = e.succ(s)
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end
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end
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else
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Enumerator.new(self, :step, n, d)
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end
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end
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# Should there be a #reverse_each ?
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# Since #each can now take a negative argument, this isn't really needed.
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# Should it exist anyway and routed to #each?
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# Also, alias_method( :reverse_step, :reverse_each )
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# Compares two intervals to see if they are equal
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def eql?(other)
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return false unless @first == other.first
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return false unless @last == other.last
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return false unless @exclude_first == other.exclude_first?
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return false unless @exclude_last == other.exclude_last?
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true
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end
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end
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