summaryrefslogtreecommitdiff
path: root/tests/coq/demo/Demo.v
blob: 22a0a131c38557a7c4035361b7066101d5a54b80 (plain)
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
(** THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS *)
(** [demo] *)
Require Import Primitives.
Import Primitives.
Require Import Coq.ZArith.ZArith.
Require Import List.
Import ListNotations.
Local Open Scope Primitives_scope.
Module Demo.

(** [demo::choose]:
    Source: 'src/demo.rs', lines 5:0-5:70 *)
Definition choose
  (T : Type) (b : bool) (x : T) (y : T) : result (T * (T -> result (T * T))) :=
  if b
  then let back_'a := fun (ret : T) => Return (ret, y) in Return (x, back_'a)
  else let back_'a := fun (ret : T) => Return (x, ret) in Return (y, back_'a)
.

(** [demo::mul2_add1]:
    Source: 'src/demo.rs', lines 13:0-13:31 *)
Definition mul2_add1 (x : u32) : result u32 :=
  i <- u32_add x x; u32_add i 1%u32
.

(** [demo::use_mul2_add1]:
    Source: 'src/demo.rs', lines 17:0-17:43 *)
Definition use_mul2_add1 (x : u32) (y : u32) : result u32 :=
  i <- mul2_add1 x; u32_add i y
.

(** [demo::incr]:
    Source: 'src/demo.rs', lines 21:0-21:31 *)
Definition incr (x : u32) : result u32 :=
  u32_add x 1%u32.

(** [demo::CList]
    Source: 'src/demo.rs', lines 27:0-27:17 *)
Inductive CList_t (T : Type) :=
| CList_CCons : T -> CList_t T -> CList_t T
| CList_CNil : CList_t T
.

Arguments CList_CCons { _ }.
Arguments CList_CNil { _ }.

(** [demo::list_nth]:
    Source: 'src/demo.rs', lines 32:0-32:56 *)
Fixpoint list_nth (T : Type) (n : nat) (l : CList_t T) (i : u32) : result T :=
  match n with
  | O => Fail_ OutOfFuel
  | S n1 =>
    match l with
    | CList_CCons x tl =>
      if i s= 0%u32
      then Return x
      else (i1 <- u32_sub i 1%u32; list_nth T n1 tl i1)
    | CList_CNil => Fail_ Failure
    end
  end
.

(** [demo::list_nth_mut]:
    Source: 'src/demo.rs', lines 47:0-47:68 *)
Fixpoint list_nth_mut
  (T : Type) (n : nat) (l : CList_t T) (i : u32) :
  result (T * (T -> result (CList_t T)))
  :=
  match n with
  | O => Fail_ OutOfFuel
  | S n1 =>
    match l with
    | CList_CCons x tl =>
      if i s= 0%u32
      then
        let back_'a := fun (ret : T) => Return (CList_CCons ret tl) in
        Return (x, back_'a)
      else (
        i1 <- u32_sub i 1%u32;
        p <- list_nth_mut T n1 tl i1;
        let (t, list_nth_mut_back) := p in
        let back_'a :=
          fun (ret : T) =>
            tl1 <- list_nth_mut_back ret; Return (CList_CCons x tl1) in
        Return (t, back_'a))
    | CList_CNil => Fail_ Failure
    end
  end
.

(** [demo::list_nth_mut1]: loop 0:
    Source: 'src/demo.rs', lines 62:0-71:1 *)
Fixpoint list_nth_mut1_loop
  (T : Type) (n : nat) (l : CList_t T) (i : u32) :
  result (T * (T -> result (CList_t T)))
  :=
  match n with
  | O => Fail_ OutOfFuel
  | S n1 =>
    match l with
    | CList_CCons x tl =>
      if i s= 0%u32
      then
        let back_'a := fun (ret : T) => Return (CList_CCons ret tl) in
        Return (x, back_'a)
      else (
        i1 <- u32_sub i 1%u32;
        p <- list_nth_mut1_loop T n1 tl i1;
        let (t, back_'a) := p in
        let back_'a1 :=
          fun (ret : T) => tl1 <- back_'a ret; Return (CList_CCons x tl1) in
        Return (t, back_'a1))
    | CList_CNil => Fail_ Failure
    end
  end
.

(** [demo::list_nth_mut1]:
    Source: 'src/demo.rs', lines 62:0-62:77 *)
Definition list_nth_mut1
  (T : Type) (n : nat) (l : CList_t T) (i : u32) :
  result (T * (T -> result (CList_t T)))
  :=
  p <- list_nth_mut1_loop T n l i; let (t, back_'a) := p in Return (t, back_'a)
.

(** [demo::i32_id]:
    Source: 'src/demo.rs', lines 73:0-73:28 *)
Fixpoint i32_id (n : nat) (i : i32) : result i32 :=
  match n with
  | O => Fail_ OutOfFuel
  | S n1 =>
    if i s= 0%i32
    then Return 0%i32
    else (i1 <- i32_sub i 1%i32; i2 <- i32_id n1 i1; i32_add i2 1%i32)
  end
.

(** Trait declaration: [demo::Counter]
    Source: 'src/demo.rs', lines 83:0-83:17 *)
Record Counter_t (Self : Type) := mkCounter_t {
  Counter_t_incr : Self -> result (usize * Self);
}.

Arguments mkCounter_t { _ }.
Arguments Counter_t_incr { _ }.

(** [demo::{(demo::Counter for usize)}::incr]:
    Source: 'src/demo.rs', lines 88:4-88:31 *)
Definition counterUsize_incr (self : usize) : result (usize * usize) :=
  self1 <- usize_add self 1%usize; Return (self, self1)
.

(** Trait implementation: [demo::{(demo::Counter for usize)}]
    Source: 'src/demo.rs', lines 87:0-87:22 *)
Definition CounterUsize : Counter_t usize := {|
  Counter_t_incr := counterUsize_incr;
|}.

(** [demo::use_counter]:
    Source: 'src/demo.rs', lines 95:0-95:59 *)
Definition use_counter
  (T : Type) (counterTInst : Counter_t T) (cnt : T) : result (usize * T) :=
  counterTInst.(Counter_t_incr) cnt
.

End Demo.