/usr/share/why3/modules/string.mlw is in why3 0.88.3-1ubuntu4.
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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 | (** {1 Characters and Strings} *)
(** {2 Characters} *)
module Char
use import int.Int
type char model { code : int }
function uppercase char : char
function lowercase char : char
axiom uppercase_alpha:
forall c:int. 97 <= c <= 122 ->
uppercase { code = c } = { code = c - 32 }
axiom uppercase_other:
forall c:int. 0 <= c < 97 \/ 122 < c <= 127 ->
uppercase { code = c } = { code = c }
axiom lowercase_alpha:
forall c:int. 65 <= c <= 90 ->
lowercase { code = c } = { code = c + 32 }
axiom lowercase_other:
forall c:int. 0 <= c < 65 \/ 90 < c <= 127 ->
lowercase { code = c } = { code = c }
val chr (x:int) : char
requires { 0 <= x <= 255 }
ensures { result = { code = x } }
val code (c:char) : int
ensures { result = c.code /\ 0 <= c.code <= 255 }
(*** TODO
- compare ?
*)
end
(** {2 Strings} *)
module String
use import int.Int
use import Char
use import map.Map as M
type string model { length: int; mutable chars: map int char }
invariant { self.length >= 0 }
val create (len:int) : string
requires { len >= 0 } ensures { length result = len }
function ([]) (s: string) (i :int) : char = M.([]) s.chars i
function get (s: string) (i :int) : char = M.([]) s.chars i
val make (len:int) (c:char) : string
requires { len >= 0 }
ensures { length result = len }
ensures { forall i:int. 0 <= i < len -> result[i] = c }
val get (s:string) (i:int) : char
requires { 0 <= i < length s } ensures { result = s[i] }
val unsafe_get (s:string) (i:int) : char
ensures { result = s[i] }
val set (s:string) (i:int) (v:char) : unit writes {s}
requires { 0 <= i < length s }
ensures { s.chars = (old s.chars)[i <- v] }
val unsafe_set (s:string) (i:int) (v:char) : unit writes {s}
ensures { s.chars = (old s.chars)[i <- v] }
val length (s:string) : int ensures { result = length s }
val copy (s:string) : string
ensures { length result = length s }
ensures { forall i:int. 0 <= i < length result -> result[i] = s[i] }
val uppercase (s:string) : string
ensures { length result = length s }
ensures { forall i:int.
0 <= i < length result -> result[i] = Char.uppercase s[i] }
val lowercase (s:string) : string
ensures { length result = length s }
ensures { forall i:int.
0 <= i < length result -> result[i] = Char.lowercase s[i] }
(*** TODO
- copy
- sub
- fill
- blit
- concat
- index / rindex / index_from / rindex_from
- contains / contains_from / rcontains_from
- capitalize / uncapitalize
*)
end
(** {2 Buffers} *)
module Buffer
use import int.Int
use import Char
use import String as S
use import map.Map as M
type t model { mutable length: int; mutable contents: map int char }
invariant { self.length >= 0 }
val create (size:int) : t
requires { size >= 0 } ensures { result.length = 0 }
(** [size] is only given as a hint for the initial size *)
val contents (b:t) : string
ensures { S.length result = length b }
val add_char (b:t) (c:char) : unit writes {b}
ensures { length b = old (length b) + 1 }
ensures { forall i: int.
0 <= i < length b -> b.contents[i] = (old b.contents)[i] }
ensures { b.contents[length b - 1] = c }
val add_string (b:t) (s:string) : unit writes {b}
ensures { length b = old (length b) + S.length s }
ensures { forall i: int.
0 <= i < old (length b) -> b.contents[i] = (old b.contents)[i] }
ensures { forall i: int.
0 <= i < S.length s -> b.contents[old (length b) + i] = S.get s i }
(*** TODO
- add_substring
- add_buffer
*)
end
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