1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
|
#!/usr/bin/env ruby
require_relative './grammar.rb'
# interescts a WFSA (WFST) with a WSCFG to produce a hypergraph
class Chart
attr_accessor :m
def initialize input
@m = []
(input.size+1).times {
_ = []
(input.size+1).times { _ << [] }
@m << _
}
end
def at span
return @m[span.left][span.right]
end
def at i,j
return @m[i][j]
end
end
class Item < Rule
attr_accessor :lhs, :rhs, :span, :dot
def initialize rule, dot=-1
@lhs = rule.lhs.dup
@rhs = rule.rhs.dup
@span = Span.new rule.span.left, rule.span.right
@dot = dot
if rule.class==Item
@dot = rule.dot
end
end
def to_s
"#{lhs} -> #{rhs.map{|i|i.to_s}.insert(@dot,'*').join ' '} (dot:#{@dot}) (a:#{arity}) (#{@span.left}, #{@span.right})"
end
end
#def shift
#end
#def reduce
#end
#def init
#axioms,goals etc
#end
#def parse
#end
g = Grammar.new 'grammar'
input = "ich sah ein kleines haus".split.map { |i| Terminal.new i }
#start = NonTerminal.new 'S'
passive_chart = Chart.new input
active_chart = Chart.new input
# 1st row: arity0 rules
unary_rules = g.rules.reject { |r| r.arity>0 }
input.each_with_index { |t,j|
unary_rules.each { |r|
if r.rhs.first.w == t.w
passive_chart.at(j,j+1) << Item.new(r)
passive_chart.at(j,j+1).last.span.left = j
passive_chart.at(j,j+1).last.span.right = j+1
passive_chart.at(j,j+1).last.dot = 1
end
}
}
# pre-fill active chart with non 0arity rules starting with a (single(!)) T
g.rules.reject{|r| r.rhs[0].class==NonTerminal||r.arity==0}.each {|r|
input.each_with_index { |i,j|
if i.w==r.rhs.first.w
(j+2).upto(input.size) { |k| # no empty NT!
active_chart.at(j,k) << Item.new(r)
active_chart.at(j,k).last.span.left = j
active_chart.at(j,k).last.span.right = j+1 # k
active_chart.at(j,k).last.dot = 1
}
end
}
}
# pre-fill active chart
s = g.rules.reject { |r| r.rhs.first.class!=NonTerminal}#.reject{|r| r.lhs.sym == 'S'}
(input.size).times { |k|
0.upto(input.size-(k+2)) { |i|
s.each { |r|
active_chart.at(i,i+k+2) << Item.new(r)
active_chart.at(i,i+k+2).last.span.left = i
active_chart.at(i,i+k+2).last.span.right = i #i+k+2
active_chart.at(i,i+k+2).last.dot = 0
}
}
}
# parse
puts "parse"
def visit i, j, sz, active_chart, passive_chart, g, input
puts "| #{i},#{j}"
# SCAN
active_chart.at(i,j).each { |item|
if item.rhs[item.dot].class == Terminal
if item.rhs[item.dot].w == input[item.span.left+item.dot].w
item.dot += 1
if item.dot == item.rhs.size
passive_chart.at(i,j) << Item.new(item)
passive_chart.at(i,j).last.span.right = item.span.left+item.dot
end
end
end
}
1.upto(sz) { |span|
break if span==(j-i)
i.upto(j-span) { |k|
puts " #{k},#{k+span} (##{span})"
# COMPLETE
active_chart.at(i,j).each { |active_item|
passive_chart.at(k, k+span).each { |passive_item|
if active_item.rhs[active_item.dot].class==NonTerminal && passive_item.lhs.sym == active_item.rhs[active_item.dot].sym
next if not active_item.span.right==passive_item.span.left
active_item.span.right = passive_item.span.right #if passive_item.span.right > active_item.span.right
active_item.dot += 1
if active_item.dot == active_item.rhs.size
passive_chart.at(i,j) << Item.new(active_item)
end
end
}
}
}
# SCAN
active_chart.at(i,j).each { |item|
if item.rhs[item.dot].class == Terminal
if item.rhs[item.dot].w == input[item.span.left+item.dot].w
item.dot += 1
if item.dot == item.rhs.size
passive_chart.at(i,j) << Item.new(item)
passive_chart.at(i,j).last.span.right = item.span.left+item.dot
end
end
end
}
}
end
(input.size).times { |k|
0.upto(input.size-(k+2)) { |i|
visit i, i+k+2, input.size, active_chart, passive_chart, g, input
}
}
puts "---"
active_chart.at(0,5).each { |item|
puts item.to_s
}
|