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use std::{
ops::{Mul, Rem, Shr},
sync::LazyLock,
};
use hkdf::Hkdf;
use num::{FromPrimitive, Integer, One, Zero};
use num_bigint_dig::BigUint;
use sha2::Sha256;
use zeroize::{Zeroize, Zeroizing};
pub fn generate_public_key_for_secret_exchange(
private_key: impl AsRef<[u8]>,
) -> Result<Vec<u8>, oo7::crypto::Error> {
let private_key_uint = BigUint::from_bytes_be(private_key.as_ref());
static DH_GENERATOR: LazyLock<BigUint> = LazyLock::new(|| BigUint::from_u64(0x2).unwrap());
let public_key_uint = powm_for_secret_exchange(&DH_GENERATOR, private_key_uint);
Ok(public_key_uint.to_bytes_be())
}
pub fn generate_aes_key_for_secret_exchange(
server_public_key: impl AsRef<[u8]>,
) -> Result<Zeroizing<Vec<u8>>, oo7::crypto::Error> {
let server_public_key_uint = BigUint::from_bytes_be(server_public_key.as_ref());
let common_secret = powm_for_secret_exchange(&server_public_key_uint, private_key_uint);
let mut common_secret_bytes = common_secret.to_bytes_be();
let mut common_secret_padded = vec![0; 192 - common_secret_bytes.len()];
// inefficient, but ok for now
common_secret_padded.append(&mut common_secret_bytes);
// hkdf
// input_keying_material
let ikm = common_secret_padded;
let salt = None;
let info = [];
// output keying material
let mut okm = Zeroizing::new(vec![0; 16]);
let (_, hk) = Hkdf::<Sha256>::extract(salt, &ikm);
hk.expand(&info, okm.as_mut())
.expect("hkdf expand should never fail");
Ok(okm)
fn powm_for_secret_exchange(base: &BigUint, mut exp: BigUint) -> BigUint {
// for key exchange
static DH_PRIME: LazyLock<BigUint> = LazyLock::new(|| {
BigUint::from_bytes_be(&[
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xC9, 0x0F, 0xDA, 0xA2, 0x21, 0x68,
0xC2, 0x34, 0xC4, 0xC6, 0x62, 0x8B, 0x80, 0xDC, 0x1C, 0xD1, 0x29, 0x02, 0x4E, 0x08,
0x8A, 0x67, 0xCC, 0x74, 0x02, 0x0B, 0xBE, 0xA6, 0x3B, 0x13, 0x9B, 0x22, 0x51, 0x4A,
0x08, 0x79, 0x8E, 0x34, 0x04, 0xDD, 0xEF, 0x95, 0x19, 0xB3, 0xCD, 0x3A, 0x43, 0x1B,
0x30, 0x2B, 0x0A, 0x6D, 0xF2, 0x5F, 0x14, 0x37, 0x4F, 0xE1, 0x35, 0x6D, 0x6D, 0x51,
0xC2, 0x45, 0xE4, 0x85, 0xB5, 0x76, 0x62, 0x5E, 0x7E, 0xC6, 0xF4, 0x4C, 0x42, 0xE9,
0xA6, 0x37, 0xED, 0x6B, 0x0B, 0xFF, 0x5C, 0xB6, 0xF4, 0x06, 0xB7, 0xED, 0xEE, 0x38,
0x6B, 0xFB, 0x5A, 0x89, 0x9F, 0xA5, 0xAE, 0x9F, 0x24, 0x11, 0x7C, 0x4B, 0x1F, 0xE6,
0x49, 0x28, 0x66, 0x51, 0xEC, 0xE4, 0x5B, 0x3D, 0xC2, 0x00, 0x7C, 0xB8, 0xA1, 0x63,
0xBF, 0x05, 0x98, 0xDA, 0x48, 0x36, 0x1C, 0x55, 0xD3, 0x9A, 0x69, 0x16, 0x3F, 0xA8,
0xFD, 0x24, 0xCF, 0x5F, 0x83, 0x65, 0x5D, 0x23, 0xDC, 0xA3, 0xAD, 0x96, 0x1C, 0x62,
0xF3, 0x56, 0x20, 0x85, 0x52, 0xBB, 0x9E, 0xD5, 0x29, 0x07, 0x70, 0x96, 0x96, 0x6D,
0x67, 0x0C, 0x35, 0x4E, 0x4A, 0xBC, 0x98, 0x04, 0xF1, 0x74, 0x6C, 0x08, 0xCA, 0x23,
0x73, 0x27, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
])
});
let mut base = base.clone();
let mut result: BigUint = One::one();
while !exp.is_zero() {
if exp.is_odd() {
result = result.mul(&base).rem(&*DH_PRIME);
exp = exp.shr(1);
base = (&base).mul(&base).rem(&*DH_PRIME);
exp.zeroize();
result