Datasets:
File size: 1,503 Bytes
c62beea | 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 | use vstd::prelude::*;
fn main() {}
verus!{
fn f1_get_first_elements(arr: &Vec<Vec<i32>>) -> (result: Vec<i32>)
requires
forall|i: int| 0 <= i < arr.len() ==> #[trigger] arr[i].len() > 0,
{
let mut first_elem_arr: Vec<i32> = Vec::new();
let mut index = 0;
while index < arr.len()
{
let seq = &arr[index];
first_elem_arr.push(seq[0]);
index += 1;
}
first_elem_arr
}
fn f2_find_negative_numbers(arr: &Vec<i32>) -> (negative_list: Vec<i32>)
{
let mut negative_list: Vec<i32> = Vec::new();
let input_len = arr.len();
let mut index = 0;
while index < arr.len()
{
if (arr[index] < 0) {
negative_list.push(arr[index]);
}
index += 1;
}
negative_list
}
spec fn step1(__hp0: Seq<Vec<i32>>, outp: Seq<i32>) -> bool {
(__hp0.len() == outp.len())
&& (forall|i: int| 0 <= i < __hp0.len() ==> #[trigger] outp[i] == #[trigger] __hp0[i][0])
}
spec fn step2(inp: Seq<i32>, outp: Seq<i32>) -> bool {
(outp == inp.filter(|x: i32| x < 0))
}
fn chain_driver(arr: &Vec<Vec<i32>>) -> (r_final: Vec<i32>)
requires
forall|i: int| 0 <= i < arr.len() ==> #[trigger] arr[i].len() > 0,
ensures
exists|v1: Seq<i32>| #[trigger] step1(arr@, v1) && step2(v1, r_final@),
{
let x1 = f1_get_first_elements(arr);
let x2 = f2_find_negative_numbers(&x1);
proof {
assert(step1(arr@, x1@));
assert(step2(x1@, x2@));
}
x2
}
} // verus!
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