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
type 'a common =
[ `Common of int * int * 'a ]
type 'a edit =
[ `Added of int * 'a
| `Removed of int * 'a
| 'a common
]
module type SeqType = sig
type t
type elem
val get : t -> int -> elem
val length : t -> int
end
module type S = sig
type t
type elem
val lcs :
?equal:(elem -> elem -> bool) ->
t -> t -> elem common list
val diff :
?equal:(elem -> elem -> bool) ->
t -> t -> elem edit list
val fold_left :
?equal:(elem -> elem -> bool) ->
f:('a -> elem edit -> 'a) ->
init:'a ->
t -> t -> 'a
val iter :
?equal:(elem -> elem -> bool) ->
f:(elem edit -> unit) ->
t -> t -> unit
end
module Make(M : SeqType) : (S with type t = M.t and type elem = M.elem) = struct
type t = M.t
type elem = M.elem
let lcs ?(equal = (=)) a b =
let n = M.length a in
let m = M.length b in
let mn = m + n in
let sz = 2 * mn + 1 in
let vd = Array.make sz 0 in
let vl = Array.make sz 0 in
let vr = Array.make sz [] in
let get v i = Array.get v (i + mn) in
let set v i x = Array.set v (i + mn) x in
let finish () =
let rec loop i maxl r =
if i > mn then
List.rev r
else if get vl i > maxl then
loop (i + 1) (get vl i) (get vr i)
else
loop (i + 1) maxl r
in loop (- mn) 0 []
in
if mn = 0 then
[]
else
let rec dloop d =
assert (d <= mn);
let rec kloop k =
if k > d then
dloop @@ d + 1
else
let x, l, r =
if k = -d || (k <> d && get vd (k - 1) < get vd (k + 1)) then
get vd (k + 1), get vl (k + 1), get vr (k + 1)
else
get vd (k - 1) + 1, get vl (k - 1), get vr (k - 1)
in
let x, y, l, r =
let rec xyloop x y l r =
if x < n && y < m && equal (M.get a x) (M.get b y) then
xyloop (x + 1) (y + 1) (l + 1) (`Common(x, y, M.get a x) :: r)
else
x, y, l, r
in xyloop x (x - k) l r
in
set vd k x;
set vl k l;
set vr k r;
if x >= n && y >= m then
finish ()
else
kloop @@ k + 2
in kloop @@ -d
in dloop 0
let fold_left ?(equal = (=)) ~f ~init a b =
let ff x y = f y x in
let fold_map f g x from to_ init =
let rec loop i init =
if i >= to_ then
init
else
loop (i + 1) (f (g i @@ M.get x i) init)
in loop from init
in
let added i x = `Added (i, x) in
let removed i x = `Removed (i, x) in
let rec loop cs apos bpos init =
match cs with
| [] ->
init
|> fold_map ff removed a apos (M.length a)
|> fold_map ff added b bpos (M.length b)
| `Common (aoff, boff, _) as e :: rest ->
init
|> fold_map ff removed a apos aoff
|> fold_map ff added b bpos boff
|> ff e
|> loop rest (aoff + 1) (boff + 1)
in loop (lcs ~equal a b) 0 0 init
let diff ?(equal = (=)) a b =
fold_left ~equal ~f:(fun xs x -> x::xs) ~init:[] a b
let iter ?(equal = (=)) ~f a b =
fold_left a b
~equal
~f:(fun () x -> f x)
~init:()
end