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
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
|
require 'zipf'
require_relative 'grammar'
require_relative 'hg'
module Parse
def Parse::visit i, l, r, x=0
i.upto(r-x) { |span|
l.upto(r-span) { |k|
yield k, k+span
}
}
end
class Chart
def initialize n
@n = n
@m = []
(n+1).times {
a = []
(n+1).times { a << [] }
@m << a
}
@b = {}
end
def at i, j
@m[i][j]
end
def add item, i, j
at(i,j) << item
@b["#{i},#{j},#{item.lhs.symbol}"] = true
end
def has symbol, i, j
return @b["#{i},#{j},#{symbol}"]
end
def to_json weights=nil
id = 0
json_s = "{\n"
json_s += "\"weights\":#{weights.to_json},\n"
json_s += "\"nodes\":\n"
json_s += "[\n"
seen = {}
Parse::visit(1, 0, @n) { |i,j|
self.at(i,j).each { |item|
_ = "#{item.lhs.symbol},#{i},#{j}"
if !seen[_]
json_s += "{ \"id\":#{id}, \"cat\":\"#{item.lhs.symbol.to_json.slice(1..-1).chomp('"')}\", \"span\":[#{i},#{j}] },\n"
seen[_] = id
id += 1
end
}
}
json_s += "{ \"id\":-1, \"cat\":\"root\", \"span\":[-1, -1] }\n"
json_s += "],\n"
json_s += "\"edges\":\n"
json_s += "[\n"
a = []
Parse::visit(1, 0, @n) { |i,j|
self.at(i,j).each { |item|
_ = '{ '
_ += "\"head\":#{seen[item.lhs.symbol+','+i.to_s+','+j.to_s]}, "
_ += "\"rule\":\"[#{item.lhs.symbol.to_json.slice(1..-1).chomp('"')}] ||| "
_ += "#{item.rhs.map{|x| (x.class==Grammar::NT ? '['+x.symbol.to_json.slice(1..-1).chomp('"')+','+x.index.to_s+']' : x.word.to_json).slice(1..-1).chomp('"') }.join(' ')} ||| #{item.target.map{|x| (x.class==Grammar::NT ? '['+x.symbol.to_json.slice(1..-1).chomp('"')+','+(x.index+1).to_s+']' : x.word.to_json.slice(1..-1).chomp('"')) }.join(' ')}\ |||\", "
if item.tail_spans.empty?
_ += "\"tails\":[-1], "
else
_ += "\"tails\":[#{item.rhs.zip((0..item.rhs.size-1).map{|q| item.tail_spans[q] }).select{|x| x[0].class==Grammar::NT }.map{|x| seen[x[0].symbol.to_json.slice(1..-1).chomp('"')+','+x[1].left.to_s+','+x[1].right.to_s]}.join ', '}], "
end
_ += "\"f\":#{(item.f ? item.f.to_json : '{}')} }"
a << _
}
}
json_s += a.join ",\n"
json_s += "\n]\n"
json_s += "}\n"
return json_s
end
def to_hg weights
nodes = []
edges = []
nodes_by_id = {}
nodes << HG::Node.new(-1, "root", [-1,-1])
nodes_by_id[-1] = nodes.last
id = 0
seen = {}
Parse::visit(1, 0, @n) { |i,j|
self.at(i,j).each { |item|
_ = "#{item.lhs.symbol},#{i},#{j}"
if !seen[_]
nodes << HG::Node.new(id, item.lhs.symbol, [i,j])
nodes_by_id[id] = nodes.last
seen[_] = id
id += 1
end
}
}
Parse::visit(1, 0, @n) { |i,j|
self.at(i,j).each { |item|
edges << HG::Hyperedge.new(nodes_by_id[seen[item.lhs.symbol+','+i.to_s+','+j.to_s]], \
(item.tail_spans.empty? ? [nodes_by_id[-1]] : item.rhs.zip((0..item.rhs.size-1).map{|q| item.tail_spans[q] }).select{|x| x[0].class==Grammar::NT }.map{|x| nodes_by_id[seen["#{x[0].symbol},#{x[1].left},#{x[1].right}"]]}), \
Math.exp(weights.dot(item.f)),
item.f,
Grammar::Rule.new(item.lhs, item.rhs, item.target, item.map, item.f), \
)
edges.last.head.incoming << edges.last
edges.last.tails.each { |n| n.outgoing << edges.last }
}
}
return HG::Hypergraph.new(nodes, edges), nodes_by_id
end
end
Span = Struct.new(:left, :right)
class Item < Grammar::Rule
attr_accessor :left, :right, :tail_spans, :dot, :f
def initialize rule_or_item, left, right, dot
@lhs = Grammar::NT.new rule_or_item.lhs.symbol, rule_or_item.lhs.index
@left = left
@right = right
@rhs = []
@tail_spans = {} # refers to source side, use @map
@f = rule_or_item.f
@map = (rule_or_item.map ? rule_or_item.map.dup : [])
rule_or_item.rhs.each_with_index { |x,i| # duplicate rhs partially
@rhs << x
if x.class == Grammar::NT
begin
if i >= dot
@tail_spans[i] = Span.new(-1, -1)
else
@tail_spans[i] = rule_or_item.tail_spans[i].dup
end
rescue
@tail_spans[i] = Span.new(-1, -1)
end
end
}
@dot = dot
@target = rule_or_item.target
end
def to_s
"(#{@left}, #{@right}) [#{tail_spans.map{|k,v| k.to_s+'('+v.left.to_s+','+v.right.to_s+')'}.join ' '}] {#{@map.to_s.delete('[]')}} #{lhs} -> #{rhs.map{|i|i.to_s}.insert(@dot,'*').join ' '} [dot@#{@dot}] ||| #{@target.map{|x|x.to_s}.join ' '}"
end
end
def Parse::init input, n, active_chart, passive_chart, grammar
grammar.flat.each { |r|
input.each_index { |i|
if input[i, r.rhs.size] == r.rhs.map { |x| x.word }
passive_chart.add Item.new(r, i, i+r.rhs.size, r.rhs.size), i, i+r.rhs.size
end
}
}
end
def Parse::scan item, input, limit, passive_chart
while item.rhs[item.dot].class == Grammar::T
return false if item.right==limit
if item.rhs[item.dot].word == input[item.right]
item.dot += 1
item.right += 1
else
return false
end
end
return true
end
def Parse::parse input, n, active_chart, passive_chart, grammar
visit(1, 0, n) { |i,j|
STDERR.write " span(#{i},#{j})\n"
# try to apply rules starting with T
grammar.startt.select { |r| r.rhs.first.word == input[i] }.each { |r|
new_item = Item.new r, i, i, 0
active_chart.at(i,j) << new_item if scan new_item, input, j, passive_chart
}
# seed active chart
grammar.startn.each { |r|
next if r.rhs.size > j-i
active_chart.at(i,j) << Item.new(r, i, i, 0)
}
# parse
new_symbols = []
remaining_items = []
while !active_chart.at(i,j).empty?
active_item = active_chart.at(i,j).pop
advanced = false
visit(1, i, j, 1) { |k,l|
if passive_chart.has active_item.rhs[active_item.dot].symbol, k, l
if k == active_item.right
new_item = Item.new active_item, active_item.left, l, active_item.dot+1
new_item.tail_spans[new_item.dot-1] = Span.new(k,l)
if scan new_item, input, j, passive_chart
if new_item.dot == new_item.rhs.size
if new_item.left == i && new_item.right == j
new_symbols << new_item.lhs.symbol if !new_symbols.include? new_item.lhs.symbol
passive_chart.add new_item, i, j
advanced = true
end
else
if new_item.right+(new_item.rhs.size-(new_item.dot)) <= j
active_chart.at(i,j) << new_item
advanced = true
end
end
end
end
end
}
if !advanced
remaining_items << active_item
end
end
# 'self-filling' step
new_symbols.each { |s|
remaining_items.each { |item|
next if item.dot!=0
next if item.rhs[item.dot].class!=Grammar::NT
if item.rhs[item.dot].symbol == s
new_item = Item.new item, i, j, item.dot+1
new_item.tail_spans[new_item.dot-1] = Span.new(i,j)
if new_item.dot==new_item.rhs.size
new_symbols << new_item.lhs.symbol if !new_symbols.include? new_item.lhs.symbol
passive_chart.add new_item, i, j
end
end
}
}
}
end
end #module
|