const H256: [u32; 8] = [
0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19,
];
const H512: [u64; 8] = [
0x6a09e667f3bcc908,
0xbb67ae8584caa73b,
0x3c6ef372fe94f82b,
0xa54ff53a5f1d36f1,
0x510e527fade682d1,
0x9b05688c2b3e6c1f,
0x1f83d9abfb41bd6b,
0x5be0cd19137e2179,
];
const H384: [u64; 8] = [
0xcbbb9d5dc1059ed8,
0x629a292a367cd507,
0x9159015a3070dd17,
0x152fecd8f70e5939,
0x67332667ffc00b31,
0x8eb44a8768581511,
0xdb0c2e0d64f98fa7,
0x47b5481dbefa4fa4,
];
pub fn sha256(data: &[u8]) -> Vec<u8> {
let mut h = H256;
each_block_32(data, |block| compress256(&mut h, block));
h.iter().flat_map(|w| w.to_be_bytes()).collect()
}
pub fn sha384(data: &[u8]) -> Vec<u8> {
let mut h = H384;
each_block_64(data, |block| compress512(&mut h, block));
h.iter().flat_map(|w| w.to_be_bytes()).take(48).collect()
}
pub fn sha512(data: &[u8]) -> Vec<u8> {
let mut h = H512;
each_block_64(data, |block| compress512(&mut h, block));
h.iter().flat_map(|w| w.to_be_bytes()).collect()
}
fn each_block_32(data: &[u8], mut f: impl FnMut(&[u8; 64])) {
let mut blocks = data.chunks_exact(64);
for block in &mut blocks {
f(block.try_into().expect("chunks_exact yields 64 bytes"));
}
let rest = blocks.remainder();
let mut tail = [0u8; 128];
tail[..rest.len()].copy_from_slice(rest);
tail[rest.len()] = 0x80;
let len = if rest.len() + 1 + 8 <= 64 { 64 } else { 128 };
let bits = (data.len() as u64).wrapping_mul(8);
tail[len - 8..len].copy_from_slice(&bits.to_be_bytes());
for block in tail[..len].chunks_exact(64) {
f(block.try_into().expect("chunks_exact yields 64 bytes"));
}
}
fn each_block_64(data: &[u8], mut f: impl FnMut(&[u8; 128])) {
let mut blocks = data.chunks_exact(128);
for block in &mut blocks {
f(block.try_into().expect("chunks_exact yields 128 bytes"));
}
let rest = blocks.remainder();
let mut tail = [0u8; 256];
tail[..rest.len()].copy_from_slice(rest);
tail[rest.len()] = 0x80;
let len = if rest.len() + 1 + 16 <= 128 { 128 } else { 256 };
let bits = (data.len() as u128).wrapping_mul(8);
tail[len - 16..len].copy_from_slice(&bits.to_be_bytes());
for block in tail[..len].chunks_exact(128) {
f(block.try_into().expect("chunks_exact yields 128 bytes"));
}
}
#[rustfmt::skip]
const K256: [u32; 64] = [
0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,
0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,
0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,
0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,
0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2,
];
fn compress256(h: &mut [u32; 8], block: &[u8; 64]) {
let mut w = [0u32; 64];
for (i, word) in w.iter_mut().take(16).enumerate() {
*word = u32::from_be_bytes(
block[i * 4..i * 4 + 4]
.try_into()
.expect("four bytes per word"),
);
}
for i in 16..64 {
let s0 = w[i - 15].rotate_right(7) ^ w[i - 15].rotate_right(18) ^ (w[i - 15] >> 3);
let s1 = w[i - 2].rotate_right(17) ^ w[i - 2].rotate_right(19) ^ (w[i - 2] >> 10);
w[i] = w[i - 16]
.wrapping_add(s0)
.wrapping_add(w[i - 7])
.wrapping_add(s1);
}
let [mut a, mut b, mut c, mut d, mut e, mut f, mut g, mut hh] = *h;
for i in 0..64 {
let s1 = e.rotate_right(6) ^ e.rotate_right(11) ^ e.rotate_right(25);
let ch = (e & f) ^ (!e & g);
let t1 = hh
.wrapping_add(s1)
.wrapping_add(ch)
.wrapping_add(K256[i])
.wrapping_add(w[i]);
let s0 = a.rotate_right(2) ^ a.rotate_right(13) ^ a.rotate_right(22);
let maj = (a & b) ^ (a & c) ^ (b & c);
let t2 = s0.wrapping_add(maj);
hh = g;
g = f;
f = e;
e = d.wrapping_add(t1);
d = c;
c = b;
b = a;
a = t1.wrapping_add(t2);
}
for (dst, src) in h.iter_mut().zip([a, b, c, d, e, f, g, hh]) {
*dst = dst.wrapping_add(src);
}
}
#[rustfmt::skip]
const K512: [u64; 80] = [
0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f, 0xe9b5dba58189dbbc,
0x3956c25bf348b538, 0x59f111f1b605d019, 0x923f82a4af194f9b, 0xab1c5ed5da6d8118,
0xd807aa98a3030242, 0x12835b0145706fbe, 0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2,
0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235, 0xc19bf174cf692694,
0xe49b69c19ef14ad2, 0xefbe4786384f25e3, 0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65,
0x2de92c6f592b0275, 0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5,
0x983e5152ee66dfab, 0xa831c66d2db43210, 0xb00327c898fb213f, 0xbf597fc7beef0ee4,
0xc6e00bf33da88fc2, 0xd5a79147930aa725, 0x06ca6351e003826f, 0x142929670a0e6e70,
0x27b70a8546d22ffc, 0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 0x53380d139d95b3df,
0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6, 0x92722c851482353b,
0xa2bfe8a14cf10364, 0xa81a664bbc423001, 0xc24b8b70d0f89791, 0xc76c51a30654be30,
0xd192e819d6ef5218, 0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8,
0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 0x2748774cdf8eeb99, 0x34b0bcb5e19b48a8,
0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb, 0x5b9cca4f7763e373, 0x682e6ff3d6b2b8a3,
0x748f82ee5defb2fc, 0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec,
0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915, 0xc67178f2e372532b,
0xca273eceea26619c, 0xd186b8c721c0c207, 0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178,
0x06f067aa72176fba, 0x0a637dc5a2c898a6, 0x113f9804bef90dae, 0x1b710b35131c471b,
0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc, 0x431d67c49c100d4c,
0x4cc5d4becb3e42b6, 0x597f299cfc657e2a, 0x5fcb6fab3ad6faec, 0x6c44198c4a475817,
];
fn compress512(h: &mut [u64; 8], block: &[u8; 128]) {
let mut w = [0u64; 80];
for (i, word) in w.iter_mut().take(16).enumerate() {
*word = u64::from_be_bytes(
block[i * 8..i * 8 + 8]
.try_into()
.expect("eight bytes per word"),
);
}
for i in 16..80 {
let s0 = w[i - 15].rotate_right(1) ^ w[i - 15].rotate_right(8) ^ (w[i - 15] >> 7);
let s1 = w[i - 2].rotate_right(19) ^ w[i - 2].rotate_right(61) ^ (w[i - 2] >> 6);
w[i] = w[i - 16]
.wrapping_add(s0)
.wrapping_add(w[i - 7])
.wrapping_add(s1);
}
let [mut a, mut b, mut c, mut d, mut e, mut f, mut g, mut hh] = *h;
for i in 0..80 {
let s1 = e.rotate_right(14) ^ e.rotate_right(18) ^ e.rotate_right(41);
let ch = (e & f) ^ (!e & g);
let t1 = hh
.wrapping_add(s1)
.wrapping_add(ch)
.wrapping_add(K512[i])
.wrapping_add(w[i]);
let s0 = a.rotate_right(28) ^ a.rotate_right(34) ^ a.rotate_right(39);
let maj = (a & b) ^ (a & c) ^ (b & c);
let t2 = s0.wrapping_add(maj);
hh = g;
g = f;
f = e;
e = d.wrapping_add(t1);
d = c;
c = b;
b = a;
a = t1.wrapping_add(t2);
}
for (dst, src) in h.iter_mut().zip([a, b, c, d, e, f, g, hh]) {
*dst = dst.wrapping_add(src);
}
}
#[cfg(test)]
mod tests {
use super::*;
fn hex(bytes: &[u8]) -> String {
bytes.iter().map(|b| format!("{b:02x}")).collect()
}
#[test]
fn sha256_matches_nist_vectors() {
assert_eq!(
hex(&sha256(b"")),
"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855"
);
assert_eq!(
hex(&sha256(b"abc")),
"ba7816bf8f01cfea414140de5dae2223b00361a396177a9cb410ff61f20015ad"
);
assert_eq!(
hex(&sha256(
b"abcdbcdecdefdefgefghfghighijhijkijkljklmklmnlmnomnopnopq"
)),
"248d6a61d20638b8e5c026930c3e6039a33ce45964ff2167f6ecedd419db06c1"
);
assert_eq!(
hex(&sha256(&[b'a'; 1_000_000])),
"cdc76e5c9914fb9281a1c7e284d73e67f1809a48a497200e046d39ccc7112cd0"
);
}
#[test]
fn sha512_matches_nist_vectors() {
assert_eq!(
hex(&sha512(b"")),
"cf83e1357eefb8bdf1542850d66d8007d620e4050b5715dc83f4a921d36ce9ce\
47d0d13c5d85f2b0ff8318d2877eec2f63b931bd47417a81a538327af927da3e"
);
assert_eq!(
hex(&sha512(b"abc")),
"ddaf35a193617abacc417349ae20413112e6fa4e89a97ea20a9eeee64b55d39a\
2192992a274fc1a836ba3c23a3feebbd454d4423643ce80e2a9ac94fa54ca49f"
);
assert_eq!(
hex(&sha512(
b"abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmn\
hijklmnoijklmnopjklmnopqklmnopqrlmnopqrsmnopqrstnopqrstu"
)),
"8e959b75dae313da8cf4f72814fc143f8f7779c6eb9f7fa17299aeadb6889018\
501d289e4900f7e4331b99dec4b5433ac7d329eeb6dd26545e96e55b874be909"
);
assert_eq!(
hex(&sha512(&[b'a'; 1_000_000])),
"e718483d0ce769644e2e42c7bc15b4638e1f98b13b2044285632a803afa973eb\
de0ff244877ea60a4cb0432ce577c31beb009c5c2c49aa2e4eadb217ad8cc09b"
);
}
#[test]
fn sha384_matches_nist_vectors() {
assert_eq!(
hex(&sha384(b"")),
"38b060a751ac96384cd9327eb1b1e36a21fdb71114be07434c0cc7bf63f6e1da\
274edebfe76f65fbd51ad2f14898b95b"
);
assert_eq!(
hex(&sha384(b"abc")),
"cb00753f45a35e8bb5a03d699ac65007272c32ab0eded1631a8b605a43ff5bed\
8086072ba1e7cc2358baeca134c825a7"
);
assert_eq!(
hex(&sha384(&[b'a'; 1_000_000])),
"9d0e1809716474cb086e834e310a4a1ced149e9c00f248527972cec5704c2a5b\
07b8b3dc38ecc4ebae97ddd87f3d8985"
);
}
#[test]
fn digest_lengths_are_fixed() {
assert_eq!(sha256(b"x").len(), 32);
assert_eq!(sha384(b"x").len(), 48);
assert_eq!(sha512(b"x").len(), 64);
}
#[test]
fn sha384_is_a_prefix_of_nothing_it_should_not_be() {
assert_ne!(sha384(b"abc")[..], sha512(b"abc")[..48]);
}
#[test]
fn block_boundary_lengths_are_handled() {
for len in [0, 1, 54, 55, 56, 57, 63, 64, 65, 119, 120, 127, 128, 129] {
let data = vec![b'a'; len];
let d = sha256(&data);
assert_eq!(d.len(), 32, "sha256 length {len}");
if len > 0 {
let mut other = data.clone();
other[len - 1] = b'b';
assert_ne!(sha256(&other), d, "sha256 length {len} ignored a byte");
}
}
for len in [0, 1, 110, 111, 112, 113, 127, 128, 129, 239, 240, 255, 256] {
let data = vec![b'a'; len];
assert_eq!(sha512(&data).len(), 64, "sha512 length {len}");
assert_eq!(sha384(&data).len(), 48, "sha384 length {len}");
if len > 0 {
let mut other = data.clone();
other[len - 1] = b'b';
assert_ne!(sha512(&other), sha512(&data), "sha512 length {len}");
}
}
}
#[test]
fn length_extension_inputs_differ() {
assert_ne!(sha256(b"a"), sha256(b"a\x00"));
assert_ne!(sha512(b"a"), sha512(b"a\x00"));
}
fn primes(n: usize) -> Vec<u128> {
let mut out: Vec<u128> = Vec::with_capacity(n);
let mut c: u128 = 2;
while out.len() < n {
if out
.iter()
.take_while(|p| *p * *p <= c)
.all(|p| !c.is_multiple_of(*p))
{
out.push(c);
}
c += 1;
}
out
}
fn iroot(x: u128, k: u32) -> u128 {
if x == 0 {
return 0;
}
let (mut lo, mut hi) = (1u128, 1u128 << (x.ilog2() / k + 2));
while lo < hi {
let mid = lo + (hi - lo).div_ceil(2);
match mid.checked_pow(k) {
Some(v) if v <= x => lo = mid,
_ => hi = mid - 1,
}
}
lo
}
fn frac_bits(p: u128, root: u32, bits: u32) -> u128 {
iroot(p << (root * bits), root) - (iroot(p, root) << bits)
}
#[test]
fn sha256_constants_are_derived_from_the_primes() {
let ps = primes(64);
for (i, &p) in ps.iter().enumerate() {
assert_eq!(
K256[i] as u128,
frac_bits(p, 3, 32),
"K256[{i}] does not match the cube root of prime {p}"
);
}
for (i, &p) in ps.iter().take(8).enumerate() {
assert_eq!(
H256[i] as u128,
frac_bits(p, 2, 32),
"H256[{i}] does not match the square root of prime {p}"
);
}
}
#[test]
fn the_derivation_helpers_are_themselves_correct() {
assert_eq!(primes(8), [2, 3, 5, 7, 11, 13, 17, 19]);
assert_eq!(iroot(27, 3), 3);
assert_eq!(iroot(26, 3), 2);
assert_eq!(iroot(1 << 96, 3), 1 << 32);
assert_eq!(frac_bits(2, 2, 32), 0x6a09e667);
assert_eq!(frac_bits(2, 3, 32), 0x428a2f98);
}
#[test]
fn sha384_uses_a_distinct_iv_from_sha512() {
assert_ne!(H384, H512);
}
}