level_10/100.rs

use vstd::prelude::*;
fn main() {}
verus!{



spec fn f1_is_upper_case(c: u8) -> bool {
    c >= 65 && c <= 90
}

spec fn f1_shift32_spec(c: u8) -> u8 {
    (c + 32) as u8
}

spec fn f1_is_lower_case(c: u8) -> bool {
    c >= 97 && c <= 122
}

spec fn f1_shift_minus_32_spec(c: u8) -> u8 {
    (c - 32) as u8
}

spec fn f1_to_toggle_case_spec(s: u8) -> u8 {
    if f1_is_lower_case(s) {
        f1_shift_minus_32_spec(s)
    } else if f1_is_upper_case(s) {
        f1_shift32_spec(s)
    } else {
        s
    }
}

fn f1_to_toggle_case(str1: &[u8]) -> (toggle_case: Vec<u8>)
{
    let mut toggle_case = Vec::with_capacity(str1.len());

    let mut index = 0;
    while index < str1.len()
    {
        if (str1[index] >= 97 && str1[index] <= 122) {
            toggle_case.push((str1[index] - 32) as u8);
        } else if (str1[index] >= 65 && str1[index] <= 90) {
            toggle_case.push((str1[index] + 32) as u8);
        } else {
            toggle_case.push(str1[index]);
        }
        index += 1;

    }
    toggle_case
}





fn f2_replace_chars(str1: &[u8], old_char: u8, new_char: u8) -> (result: Vec<u8>)
{
    let mut result_str = Vec::with_capacity(str1.len());
    let mut index = 0;
    while index < str1.len()
    {
        if str1[index] == old_char {
            result_str.push(new_char);
        } else {
            result_str.push(str1[index]);
        }
        index += 1;
    }
    result_str
}





// ASCII --> space=32, comma=44 , dot=46 , colon=58
spec fn f3_is_space_comma_dot_spec(c: u8) -> bool {
    (c == 32) || (c == 44) || (c == 46)
}

fn f3_replace_with_colon(str1: &[u8]) -> (result: Vec<u8>)
{
    let mut result: Vec<u8> = Vec::with_capacity(str1.len());
    let mut index = 0;
    while index < str1.len()
    {
        if ((str1[index] == 32) || (str1[index] == 44) || (str1[index] == 46)) {
            result.push(58);  //ASCII -> colon=58
        } else {
            result.push(str1[index]);
        }
        index += 1;
    }
    result
}





spec fn f4_is_upper_case(c: u8) -> bool {
    c >= 65 && c <= 90
}

spec fn f4_shift32_spec(c: u8) -> u8 {
    (c + 32) as u8
}

fn f4_to_lowercase(str1: &[u8]) -> (result: Vec<u8>)
{
    let mut lower_case: Vec<u8> = Vec::with_capacity(str1.len());
    let mut index = 0;
    while index < str1.len()
    {
        if (str1[index] >= 65 && str1[index] <= 90) {
            lower_case.push((str1[index] + 32) as u8);

        } else {
            lower_case.push(str1[index]);
        }
        index += 1;
    }
    lower_case
}





spec fn f5_is_lower_case(c: u8) -> bool {
    c >= 97 && c <= 122
}

spec fn f5_shift_minus_32_spec(c: u8) -> u8 {
    (c - 32) as u8
}

fn f5_to_uppercase(str1: &[u8]) -> (result: Vec<u8>)
{
    let mut upper_case: Vec<u8> = Vec::with_capacity(str1.len());
    let mut index = 0;
    while index < str1.len()
    {
        if (str1[index] >= 97 && str1[index] <= 122) {
            upper_case.push((str1[index] - 32) as u8);
        } else {
            upper_case.push(str1[index]);
        }
        index += 1;
    }
    upper_case
}





spec fn f6_is_upper_case(c: u8) -> bool {
    c >= 65 && c <= 90
}

spec fn f6_shift32_spec(c: u8) -> u8 {
    (c + 32) as u8
}

fn f6_to_lowercase(str1: &[u8]) -> (result: Vec<u8>)
{
    let mut lower_case: Vec<u8> = Vec::with_capacity(str1.len());
    let mut index = 0;
    while index < str1.len()
    {
        if (str1[index] >= 65 && str1[index] <= 90) {
            lower_case.push((str1[index] + 32) as u8);

        } else {
            lower_case.push(str1[index]);
        }
        index += 1;
    }
    lower_case
}





spec fn f7_is_lower_case(c: u8) -> bool {
    c >= 97 && c <= 122
}

spec fn f7_shift_minus_32_spec(c: u8) -> u8 {
    (c - 32) as u8
}

fn f7_to_uppercase(str1: &[u8]) -> (result: Vec<u8>)
{
    let mut upper_case: Vec<u8> = Vec::with_capacity(str1.len());
    let mut index = 0;
    while index < str1.len()
    {
        if (str1[index] >= 97 && str1[index] <= 122) {
            upper_case.push((str1[index] - 32) as u8);
        } else {
            upper_case.push(str1[index]);
        }
        index += 1;
    }
    upper_case
}





// ASCII --> space=32, comma=44 , dot=46 , colon=58
spec fn f8_is_space_comma_dot_spec(c: u8) -> bool {
    (c == 32) || (c == 44) || (c == 46)
}

fn f8_replace_with_colon(str1: &[u8]) -> (result: Vec<u8>)
{
    let mut result: Vec<u8> = Vec::with_capacity(str1.len());
    let mut index = 0;
    while index < str1.len()
    {
        if ((str1[index] == 32) || (str1[index] == 44) || (str1[index] == 46)) {
            result.push(58);  //ASCII -> colon=58
        } else {
            result.push(str1[index]);
        }
        index += 1;
    }
    result
}





spec fn f9_is_upper_case(c: u8) -> bool {
    c >= 65 && c <= 90
}

spec fn f9_shift32_spec(c: u8) -> u8 {
    (c + 32) as u8
}

spec fn f9_is_lower_case(c: u8) -> bool {
    c >= 97 && c <= 122
}

spec fn f9_shift_minus_32_spec(c: u8) -> u8 {
    (c - 32) as u8
}

spec fn f9_to_toggle_case_spec(s: u8) -> u8 {
    if f9_is_lower_case(s) {
        f9_shift_minus_32_spec(s)
    } else if f9_is_upper_case(s) {
        f9_shift32_spec(s)
    } else {
        s
    }
}

fn f9_to_toggle_case(str1: &[u8]) -> (toggle_case: Vec<u8>)
{
    let mut toggle_case = Vec::with_capacity(str1.len());

    let mut index = 0;
    while index < str1.len()
    {
        if (str1[index] >= 97 && str1[index] <= 122) {
            toggle_case.push((str1[index] - 32) as u8);
        } else if (str1[index] >= 65 && str1[index] <= 90) {
            toggle_case.push((str1[index] + 32) as u8);
        } else {
            toggle_case.push(str1[index]);
        }
        index += 1;

    }
    toggle_case
}





spec fn f10_is_digit_sepc(c: u8) -> bool {
    c >= 48 && c <= 57
}

fn f10_is_digit(c: u8) -> (res: bool)
{
    c >= 48 && c <= 57
}

fn f10_is_integer(text: &[u8]) -> (result: bool)
{
    let mut index = 0;
    while index < text.len()
    {
        if (!f10_is_digit(text[index])) {
            return false;
        }
        index += 1;
    }
    true
}



spec fn step1(__hp0: Seq<u8>, outp: Seq<u8>) -> bool {
    (__hp0.len() == outp.len())
    && (forall|i: int|
            0 <= i < __hp0.len() ==> outp[i] == f1_to_toggle_case_spec(#[trigger] __hp0[i]))
}

spec fn step2(inp: Seq<u8>, p2_old_char: u8, p2_new_char: u8, outp: Seq<u8>) -> bool {
    (inp.len() == outp.len())
    && (forall|i: int|
            0 <= i < inp.len() ==> outp[i] == (if inp[i] == p2_old_char {
                p2_new_char
            } else {
                inp[i]
            }))
}

spec fn step3(inp: Seq<u8>, outp: Seq<u8>) -> bool {
    (inp.len() == outp.len())
    && (forall|k: int|
            0 <= k < outp.len() ==> #[trigger] outp[k] == (if f3_is_space_comma_dot_spec(inp[k]) {
                58  //ASCII -> colon=58

            } else {
                inp[k]
            }))
}

spec fn step4(inp: Seq<u8>, outp: Seq<u8>) -> bool {
    (inp.len() == outp.len())
    && (forall|i: int|
            0 <= i < inp.len() ==> outp[i] == (if f4_is_upper_case(#[trigger] inp[i]) {
                f4_shift32_spec(inp[i])
            } else {
                inp[i]
            }))
}

spec fn step5(inp: Seq<u8>, outp: Seq<u8>) -> bool {
    (inp.len() == outp.len())
    && (forall|i: int|
            0 <= i < inp.len() ==> (outp[i] == (if f5_is_lower_case(#[trigger] inp[i]) {
                f5_shift_minus_32_spec(inp[i])
            } else {
                inp[i]
            })))
}

spec fn step6(inp: Seq<u8>, outp: Seq<u8>) -> bool {
    (inp.len() == outp.len())
    && (forall|i: int|
            0 <= i < inp.len() ==> outp[i] == (if f6_is_upper_case(#[trigger] inp[i]) {
                f6_shift32_spec(inp[i])
            } else {
                inp[i]
            }))
}

spec fn step7(inp: Seq<u8>, outp: Seq<u8>) -> bool {
    (inp.len() == outp.len())
    && (forall|i: int|
            0 <= i < inp.len() ==> (outp[i] == (if f7_is_lower_case(#[trigger] inp[i]) {
                f7_shift_minus_32_spec(inp[i])
            } else {
                inp[i]
            })))
}

spec fn step8(inp: Seq<u8>, outp: Seq<u8>) -> bool {
    (inp.len() == outp.len())
    && (forall|k: int|
            0 <= k < outp.len() ==> #[trigger] outp[k] == (if f8_is_space_comma_dot_spec(inp[k]) {
                58  //ASCII -> colon=58

            } else {
                inp[k]
            }))
}

spec fn step9(inp: Seq<u8>, outp: Seq<u8>) -> bool {
    (inp.len() == outp.len())
    && (forall|i: int|
            0 <= i < inp.len() ==> outp[i] == f9_to_toggle_case_spec(#[trigger] inp[i]))
}

spec fn step10(inp: Seq<u8>, outp: bool) -> bool {
    (outp == (forall|i: int| 0 <= i < inp.len() ==> (#[trigger] f10_is_digit_sepc(inp[i]))))
}

fn chain_driver(str1: &[u8], p2_old_char: u8, p2_new_char: u8) -> (r_final: bool)
    ensures
        exists|v1: Seq<u8>, v2: Seq<u8>, v3: Seq<u8>, v4: Seq<u8>, v5: Seq<u8>, v6: Seq<u8>, v7: Seq<u8>, v8: Seq<u8>, v9: Seq<u8>| #[trigger] step1(str1@, v1) && #[trigger] step2(v1, p2_old_char, p2_new_char, v2) && #[trigger] step3(v2, v3) && #[trigger] step4(v3, v4) && #[trigger] step5(v4, v5) && #[trigger] step6(v5, v6) && #[trigger] step7(v6, v7) && #[trigger] step8(v7, v8) && #[trigger] step9(v8, v9) && step10(v9, r_final),
{
    let x1 = f1_to_toggle_case(str1);
    let x2 = f2_replace_chars(x1.as_slice(), p2_old_char, p2_new_char);
    let x3 = f3_replace_with_colon(x2.as_slice());
    let x4 = f4_to_lowercase(x3.as_slice());
    let x5 = f5_to_uppercase(x4.as_slice());
    let x6 = f6_to_lowercase(x5.as_slice());
    let x7 = f7_to_uppercase(x6.as_slice());
    let x8 = f8_replace_with_colon(x7.as_slice());
    let x9 = f9_to_toggle_case(x8.as_slice());
    let x10 = f10_is_integer(x9.as_slice());
    proof {
        assert(step1(str1@, x1@));
        assert(step2(x1@, p2_old_char, p2_new_char, x2@));
        assert(step3(x2@, x3@));
        assert(step4(x3@, x4@));
        assert(step5(x4@, x5@));
        assert(step6(x5@, x6@));
        assert(step7(x6@, x7@));
        assert(step8(x7@, x8@));
        assert(step9(x8@, x9@));
        assert(step10(x9@, x10));
    }
    x10
}

} // verus!