aboutsummaryrefslogtreecommitdiff
path: root/grammar/follow.go
blob: 67e5f70eee5933905c5f2d44d164b7ee1b47b30a (plain) (blame)
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
package grammar

import (
	"fmt"
)

type followEntry struct {
	symbols map[symbol]struct{}
	eof     bool
}

func newFollowEntry() *followEntry {
	return &followEntry{
		symbols: map[symbol]struct{}{},
		eof:     false,
	}
}

func (e *followEntry) add(sym symbol) bool {
	if _, ok := e.symbols[sym]; ok {
		return false
	}
	e.symbols[sym] = struct{}{}
	return true
}

func (e *followEntry) addEOF() bool {
	if !e.eof {
		e.eof = true
		return true
	}
	return false
}

func (e *followEntry) merge(fst *firstEntry, flw *followEntry) bool {
	changed := false

	if fst != nil {
		for sym := range fst.symbols {
			added := e.add(sym)
			if added {
				changed = true
			}
		}
	}

	if flw != nil {
		for sym := range flw.symbols {
			added := e.add(sym)
			if added {
				changed = true
			}
		}
		if flw.eof {
			added := e.addEOF()
			if added {
				changed = true
			}
		}
	}

	return changed
}

type followSet struct {
	set map[symbol]*followEntry
}

func newFollow(prods *productionSet) *followSet {
	flw := &followSet{
		set: map[symbol]*followEntry{},
	}
	for _, prod := range prods.getAllProductions() {
		if _, ok := flw.set[prod.lhs]; ok {
			continue
		}
		flw.set[prod.lhs] = newFollowEntry()
	}
	return flw
}

func (flw *followSet) find(sym symbol) (*followEntry, error) {
	e, ok := flw.set[sym]
	if !ok {
		return nil, fmt.Errorf("an entry of FOLLOW was not found; symbol: %s", sym)
	}
	return e, nil
}

func genFollowSet(prods *productionSet, first *firstSet) (*followSet, error) {
	ntsyms := map[symbol]struct{}{}
	for _, prod := range prods.getAllProductions() {
		if _, ok := ntsyms[prod.lhs]; ok {
			continue
		}
		ntsyms[prod.lhs] = struct{}{}
	}

	follow := newFollow(prods)
	for {
		more := false
		for ntsym := range ntsyms {
			e, err := follow.find(ntsym)
			if err != nil {
				return nil, err
			}
			if ntsym.isStart() {
				changed := e.addEOF()
				if changed {
					more = true
				}
			}
			for _, prod := range prods.getAllProductions() {
				for i, sym := range prod.rhs {
					if sym != ntsym {
						continue
					}
					fst, err := first.find(prod, i+1)
					if err != nil {
						return nil, err
					}
					changed := e.merge(fst, nil)
					if changed {
						more = true
					}
					if fst.empty {
						flw, err := follow.find(prod.lhs)
						if err != nil {
							return nil, err
						}
						changed := e.merge(nil, flw)
						if changed {
							more = true
						}
					}
				}
			}
		}
		if !more {
			break
		}
	}

	return follow, nil
}