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
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
|
(*Generated by Lem from byte_sequence.lem.*)
(** [byte_sequence.lem], a list of bytes used for ELF I/O and other basic tasks
* in the ELF model.
*)
open Lem_basic_classes
open Lem_bool
open Lem_list
open Lem_num
open Lem_string
open Lem_assert_extra
open Error
open Missing_pervasives
open Show
(** A [byte_sequence], [bs], denotes a consecutive list of bytes. Can be read
* from or written to a binary file. Most basic type in the ELF formalisation.
*)
type byte_sequence =
Sequence of ( char list)
(** [byte_list_of_byte_sequence bs] obtains the underlying list of bytes of the
* byte sequence [bs].
*)
(*val byte_list_of_byte_sequence : byte_sequence -> list byte*)
let byte_list_of_byte_sequence bs0:(char)list=
((match bs0 with
| Sequence xs -> xs
))
(** [compare_byte_sequence bs1 bs2] is an ordering comparison function for byte
* sequences, suitable for constructing sets, maps and other ordered types
* with.
*)
(*val compare_byte_sequence : byte_sequence -> byte_sequence -> ordering*)
let compare_byte_sequence s1 s2:int=
(lexicographic_compare compare_byte (byte_list_of_byte_sequence s1) (byte_list_of_byte_sequence s2))
let instance_Basic_classes_Ord_Byte_sequence_byte_sequence_dict:(byte_sequence)ord_class= ({
compare_method = compare_byte_sequence;
isLess_method = (fun f1 -> (fun f2 -> ( Lem.orderingEqual(compare_byte_sequence f1 f2) (-1))));
isLessEqual_method = (fun f1 -> (fun f2 -> let result = (compare_byte_sequence f1 f2) in Lem.orderingEqual result (-1) || Lem.orderingEqual result 0));
isGreater_method = (fun f1 -> (fun f2 -> ( Lem.orderingEqual(compare_byte_sequence f1 f2) 1)));
isGreaterEqual_method = (fun f1 -> (fun f2 -> let result = (compare_byte_sequence f1 f2) in Lem.orderingEqual result 1 || Lem.orderingEqual result 0))})
(** [acquire_byte_list fname] exhaustively reads in a list of bytes from a file
* pointed to by filename [fname]. Fails if the file does not exist, or if the
* transcription otherwise fails. Implemented as a primitive in OCaml.
*)
(*val acquire_byte_list : string -> error (list byte)*)
(** [acquire fname] exhaustively reads in a byte_sequence from a file pointed to
* by filename [fname]. Fails if the file does not exist, or if the transcription
* otherwise fails.
*)
(*val acquire : string -> error byte_sequence*)
let acquire fname1:(byte_sequence)error=
(Byte_sequence_wrapper.acquire_char_list fname1 >>= (fun bs ->
return (Sequence bs)))
(** [serialise_byte_list fname bs] writes a list of bytes, [bs], to a binary file
* pointed to by filename [fname]. Fails if the transcription fails. Implemented
* as a primitive in OCaml.
*)
(*val serialise_byte_list : string -> list byte -> error unit*)
(** [serialise fname bs0] writes a byte sequence, [bs0], to a binary file pointed
* to by filename [fname]. Fails if the transcription fails.
*)
(*val serialise : string -> byte_sequence -> error unit*)
let serialise fname1 ss:(unit)error=
((match ss with
| Sequence ts -> Byte_sequence_wrapper.serialise_char_list fname1 ts
))
(** [empty], the empty byte sequence.
*)
(*val empty : byte_sequence*)
let empty:byte_sequence= (Sequence [])
(** [read_char bs0] reads a single byte from byte sequence [bs0] and returns the
* remainder of the byte sequence. Fails if [bs0] is empty.
* TODO: rename to read_byte, probably.
*)
(*val read_char : byte_sequence -> error (byte * byte_sequence)*)
let read_char (Sequence ts):(char*byte_sequence)error=
((match ts with
| [] -> fail "read_char: sequence is empty"
| x::xs -> return (x, Sequence xs)
))
(** [repeat cnt b] creates a list of length [cnt] containing only [b].
* TODO: move into missing_pervasives.lem.
*)
(*val repeat' : natural -> byte -> list byte -> list byte*)
let rec repeat' count c acc:(char)list=
(
if(Nat_big_num.equal count (Nat_big_num.of_int 0)) then acc else
(repeat' ( Nat_big_num.sub_nat count (Nat_big_num.of_int 1)) c (c :: acc)))
(*val repeat : natural -> byte -> list byte*)
let repeat count c:(char)list= (repeat' count c [])
(** [create cnt b] creates a byte sequence of length [cnt] containing only [b].
*)
(*val create : natural -> byte -> byte_sequence*)
let create count c:byte_sequence=
(Sequence (repeat count c))
(** [zeros cnt] creates a byte sequence of length [cnt] containing only 0, the
* null byte.
*)
(*val zeros : natural -> byte_sequence*)
let zeros m:byte_sequence=
(create m '\000')
(** [length bs0] returns the length of [bs0].
*)
(*val length : byte_sequence -> natural*)
let length0 (Sequence ts):Nat_big_num.num=
(Nat_big_num.of_int (List.length ts))
(** [concat bs] concatenates a list of byte sequences, [bs], into a single byte
* sequence, maintaining byte order across the sequences.
*)
(*val concat : list byte_sequence -> byte_sequence*)
let rec concat0 ts:byte_sequence=
((match ts with
| [] -> Sequence []
| ((Sequence x)::xs) ->
(match concat0 xs with
| Sequence tail -> Sequence ( List.rev_append (List.rev x) tail)
)
))
(** [zero_pad_to_length len bs0] pads (on the right) consecutive zeros until the
* resulting byte sequence is [len] long. Returns [bs0] if [bs0] is already of
* greater length than [len].
*)
(*val zero_pad_to_length : natural -> byte_sequence -> byte_sequence*)
let zero_pad_to_length len bs:byte_sequence=
(let curlen = (length0 bs) in
if Nat_big_num.greater_equal curlen len then
bs
else
concat0 [bs ; (zeros ( Nat_big_num.sub_nat len curlen))])
(** [from_byte_lists bs] concatenates a list of bytes [bs] and creates a byte
* sequence from their contents. Maintains byte order in [bs].
*)
(*val from_byte_lists : list (list byte) -> byte_sequence*)
let from_byte_lists ts:byte_sequence=
(Sequence (List.concat ts))
(** [string_of_char_list cs] converts a list of characters into a string.
* Implemented as a primitive in OCaml.
*)
(*val string_of_char_list : list char -> string*)
(** [char_list_of_byte_list bs] converts byte list [bs] into a list of characters.
* Implemented as a primitive in OCaml and Isabelle.
* TODO: is this actually being used in the Isabelle backend? All string functions
* should be factored out by target-specific definitions.
*)
(*val char_list_of_byte_list : list byte -> list char*)
(** [string_of_byte_sequence bs0] converts byte sequence [bs0] into a string
* representation.
*)
(*val string_of_byte_sequence : byte_sequence -> string*)
let string_of_byte_sequence (Sequence ts):string=
(let cs = ( ts) in
Xstring.implode cs)
(** [equal bs0 bs1] checks whether two byte sequences, [bs0] and [bs1], are equal.
*)
(*val equal : byte_sequence -> byte_sequence -> bool*)
let rec equal left right:bool=
((match (left, right) with
| (Sequence [], Sequence []) -> true
| (Sequence (x::xs), Sequence (y::ys)) ->
(x = y) && equal (Sequence xs) (Sequence ys)
| (_, _) -> false
))
(** [dropbytes cnt bs0] drops [cnt] bytes from byte sequence [bs0]. Fails if
* [cnt] is greater than the length of [bs0].
*)
(*val dropbytes : natural -> byte_sequence -> error byte_sequence*)
let rec dropbytes count (Sequence ts):(byte_sequence)error=
(if Nat_big_num.equal count Nat_big_num.zero then
return (Sequence ts)
else
(match ts with
| [] -> fail "dropbytes: cannot drop more bytes than are contained in sequence"
| x::xs -> dropbytes ( Nat_big_num.sub_nat count(Nat_big_num.of_int 1)) (Sequence xs)
))
(*val takebytes_r_with_length: nat -> natural -> byte_sequence -> error byte_sequence*)
let rec takebytes_r_with_length count ts_length (Sequence ts):(byte_sequence)error=
(if Nat_big_num.greater_equal ts_length (Nat_big_num.of_int count) then
return (Sequence (list_take_with_accum count [] ts))
else
fail "takebytes: cannot take more bytes than are contained in sequence")
(*val takebytes : natural -> byte_sequence -> error byte_sequence*)
let takebytes count (Sequence ts):(byte_sequence)error=
(let result = (takebytes_r_with_length (Nat_big_num.to_int count) (Missing_pervasives.length ts) (Sequence ts)) in
result)
(*val takebytes_with_length : natural -> natural -> byte_sequence -> error byte_sequence*)
let takebytes_with_length count ts_length (Sequence ts):(byte_sequence)error=
(
(* let _ = Missing_pervasives.errs ("Trying to take " ^ (show count) ^ " bytes from sequence of " ^ (show (List.length ts)) ^ "\n") in *)let result = (takebytes_r_with_length (Nat_big_num.to_int count) ts_length (Sequence ts)) in
(*let _ = Missing_pervasives.errs ("Succeeded\n") in *)
result)
(** [read_2_bytes_le bs0] reads two bytes from [bs0], returning them in
* little-endian order, and returns the remainder of [bs0]. Fails if [bs0] has
* length less than 2.
*)
(*val read_2_bytes_le : byte_sequence -> error ((byte * byte) * byte_sequence)*)
let read_2_bytes_le bs0:((char*char)*byte_sequence)error=
(read_char bs0 >>= (fun (b0, bs1) ->
read_char bs1 >>= (fun (b1, bs2) ->
return ((b1, b0), bs2))))
(** [read_2_bytes_be bs0] reads two bytes from [bs0], returning them in
* big-endian order, and returns the remainder of [bs0]. Fails if [bs0] has
* length less than 2.
*)
(*val read_2_bytes_be : byte_sequence -> error ((byte * byte) * byte_sequence)*)
let read_2_bytes_be bs0:((char*char)*byte_sequence)error=
(read_char bs0 >>= (fun (b0, bs1) ->
read_char bs1 >>= (fun (b1, bs2) ->
return ((b0, b1), bs2))))
(** [read_4_bytes_le bs0] reads four bytes from [bs0], returning them in
* little-endian order, and returns the remainder of [bs0]. Fails if [bs0] has
* length less than 4.
*)
(*val read_4_bytes_le : byte_sequence -> error ((byte * byte * byte * byte) * byte_sequence)*)
let read_4_bytes_le bs0:((char*char*char*char)*byte_sequence)error=
(read_char bs0 >>= (fun (b0, bs1) ->
read_char bs1 >>= (fun (b1, bs2) ->
read_char bs2 >>= (fun (b2, bs3) ->
read_char bs3 >>= (fun (b3, bs4) ->
return ((b3, b2, b1, b0), bs4))))))
(** [read_4_bytes_be bs0] reads four bytes from [bs0], returning them in
* big-endian order, and returns the remainder of [bs0]. Fails if [bs0] has
* length less than 4.
*)
(*val read_4_bytes_be : byte_sequence -> error ((byte * byte * byte * byte) * byte_sequence)*)
let read_4_bytes_be bs0:((char*char*char*char)*byte_sequence)error=
(read_char bs0 >>= (fun (b0, bs1) ->
read_char bs1 >>= (fun (b1, bs2) ->
read_char bs2 >>= (fun (b2, bs3) ->
read_char bs3 >>= (fun (b3, bs4) ->
return ((b0, b1, b2, b3), bs4))))))
(** [read_8_bytes_le bs0] reads eight bytes from [bs0], returning them in
* little-endian order, and returns the remainder of [bs0]. Fails if [bs0] has
* length less than 8.
*)
(*val read_8_bytes_le : byte_sequence -> error ((byte * byte * byte * byte * byte * byte * byte * byte) * byte_sequence)*)
let read_8_bytes_le bs0:((char*char*char*char*char*char*char*char)*byte_sequence)error=
(read_char bs0 >>= (fun (b0, bs1) ->
read_char bs1 >>= (fun (b1, bs2) ->
read_char bs2 >>= (fun (b2, bs3) ->
read_char bs3 >>= (fun (b3, bs4) ->
read_char bs4 >>= (fun (b4, bs5) ->
read_char bs5 >>= (fun (b5, bs6) ->
read_char bs6 >>= (fun (b6, bs7) ->
read_char bs7 >>= (fun (b7, bs8) ->
return ((b7, b6, b5, b4, b3, b2, b1, b0), bs8))))))))))
(** [read_8_bytes_be bs0] reads eight bytes from [bs0], returning them in
* big-endian order, and returns the remainder of [bs0]. Fails if [bs0] has
* length less than 8.
*)
(*val read_8_bytes_be : byte_sequence -> error ((byte * byte * byte * byte * byte * byte * byte * byte) * byte_sequence)*)
let read_8_bytes_be bs0:((char*char*char*char*char*char*char*char)*byte_sequence)error=
(read_char bs0 >>= (fun (b0, bs1) ->
read_char bs1 >>= (fun (b1, bs2) ->
read_char bs2 >>= (fun (b2, bs3) ->
read_char bs3 >>= (fun (b3, bs4) ->
read_char bs4 >>= (fun (b4, bs5) ->
read_char bs5 >>= (fun (b5, bs6) ->
read_char bs6 >>= (fun (b6, bs7) ->
read_char bs7 >>= (fun (b7, bs8) ->
return ((b0, b1, b2, b3, b4, b5, b6, b7), bs8))))))))))
(** [partition pnt bs0] splits [bs0] into two parts at index [pnt]. Fails if
* [pnt] is greater than the length of [bs0].
*)
(*val partition : natural -> byte_sequence -> error (byte_sequence * byte_sequence)*)
let partition0 idx1 bs0:(byte_sequence*byte_sequence)error=
(takebytes idx1 bs0 >>= (fun l ->
dropbytes idx1 bs0 >>= (fun r ->
return (l, r))))
(*val partition_with_length : natural -> natural -> byte_sequence -> error (byte_sequence * byte_sequence)*)
let partition_with_length idx1 bs0_length bs0:(byte_sequence*byte_sequence)error=
(takebytes_with_length idx1 bs0_length bs0 >>= (fun l ->
dropbytes idx1 bs0 >>= (fun r ->
return (l, r))))
(** [offset_and_cut off cut bs0] first cuts [off] bytes off [bs0], then cuts
* the resulting byte sequence to length [cut]. Fails if [off] is greater than
* the length of [bs0] and if [cut] is greater than the length of the intermediate
* byte sequence.
*)
(*val offset_and_cut : natural -> natural -> byte_sequence -> error byte_sequence*)
let offset_and_cut off cut bs0:(byte_sequence)error=
(dropbytes off bs0 >>= (fun bs1 ->
takebytes cut bs1 >>= (fun res ->
return res)))
let instance_Show_Show_Byte_sequence_byte_sequence_dict:(byte_sequence)show_class= ({
show_method = string_of_byte_sequence})
let instance_Basic_classes_Eq_Byte_sequence_byte_sequence_dict:(byte_sequence)eq_class= ({
isEqual_method = equal;
isInequal_method = (fun l r->not (equal l r))})
|