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sha256.ml
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(* An implementation of the SHA-256 hash function in OCaml
Copyright (C) 2008 Michael Bacarella <[email protected]>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
SHA256 as specified here:
http://en.wikipedia.org/wiki/SHA256
*)
open Bin
let rotate x n = or32 (right32 x n) (left32 x (32 - n))
let shift x n = right32 x n
let ch x y z = xor32 (and32 x y) (and32 (not32 x) z)
let maj x y z = xor32 (and32 x y) (xor32 (and32 x z) (and32 y z))
let sum0 x = xor32 (rotate x 2) (xor32 (rotate x 13) (rotate x 22))
let sum1 x = xor32 (rotate x 6) (xor32 (rotate x 11) (rotate x 25))
let rh00 x = xor32 (rotate x 7) (xor32 (rotate x 18) (shift x 3))
let rh01 x = xor32 (rotate x 17) (xor32 (rotate x 19) (shift x 10))
type ctx =
{ mutable total_length : Int64.t;
mutable h : Int32.t array
}
(* packs big-endian *)
let pack64 x =
let b = Buffer.create 8 in
for i = 0 to 7 do
let shft = (7 - i) * 8 in
Buffer.add_char b (char_of_int (Int64.to_int (Int64.logand (Int64.shift_right x shft) 0xFFL)))
done;
b
let pack x n =
if n mod 8 = 0
then (
let n' = n / 8 in
let b = Buffer.create n' in
for i = 0 to n' - 1 do
let shft = (n' - 1 - i) * 8 in
Buffer.add_char b (char_of_int (Int32.to_int (Int32.logand (Int32.shift_right x shft) 0xFFl)))
done;
b)
else raise (Invalid_argument ("pack: " ^ string_of_int n ^ " is not a multiple of 8"))
let pack32 x = pack x 32
let as_bytes bits =
match bits mod 8 with
| 0 -> bits / 8
| _ -> failwith "as_bytes: bits must be multiple of 8"
let as_bits bytes = bytes * 8
let bs_in_bits = 512
let bs_in_bytes = as_bytes 512
let k =
[| 0x428a2f98l;
0x71374491l;
0xb5c0fbcfl;
0xe9b5dba5l;
0x3956c25bl;
0x59f111f1l;
0x923f82a4l;
0xab1c5ed5l;
0xd807aa98l;
0x12835b01l;
0x243185bel;
0x550c7dc3l;
0x72be5d74l;
0x80deb1fel;
0x9bdc06a7l;
0xc19bf174l;
0xe49b69c1l;
0xefbe4786l;
0x0fc19dc6l;
0x240ca1ccl;
0x2de92c6fl;
0x4a7484aal;
0x5cb0a9dcl;
0x76f988dal;
0x983e5152l;
0xa831c66dl;
0xb00327c8l;
0xbf597fc7l;
0xc6e00bf3l;
0xd5a79147l;
0x06ca6351l;
0x14292967l;
0x27b70a85l;
0x2e1b2138l;
0x4d2c6dfcl;
0x53380d13l;
0x650a7354l;
0x766a0abbl;
0x81c2c92el;
0x92722c85l;
0xa2bfe8a1l;
0xa81a664bl;
0xc24b8b70l;
0xc76c51a3l;
0xd192e819l;
0xd6990624l;
0xf40e3585l;
0x106aa070l;
0x19a4c116l;
0x1e376c08l;
0x2748774cl;
0x34b0bcb5l;
0x391c0cb3l;
0x4ed8aa4al;
0x5b9cca4fl;
0x682e6ff3l;
0x748f82eel;
0x78a5636fl;
0x84c87814l;
0x8cc70208l;
0x90befffal;
0xa4506cebl;
0xbef9a3f7l;
0xc67178f2l
|]
let init () =
{ total_length = 0L;
h =
[| 0x6a09e667l;
0xbb67ae85l;
0x3c6ef372l;
0xa54ff53al;
0x510e527fl;
0x9b05688cl;
0x1f83d9abl;
0x5be0cd19l
|]
}
let rec range i j = if i > j then [] else i :: range (i + 1) j
let update ctx message =
let sha = ctx.h in
let message_bits = as_bits (Buffer.length message) in
if message_bits <> bs_in_bits
then failwith ("update: message must be 512 bits; got " ^ string_of_int message_bits ^ " bits")
else (
let mm i = Buffer.nth message i in
let w = Array.make bs_in_bytes 0l in
for t = 0 to 15 do
w.(t)
<- or32
(left32 (to_int32 (mm (t * 4))) 24)
(or32
(left32 (to_int32 (mm ((t * 4) + 1))) 16)
(or32 (left32 (to_int32 (mm ((t * 4) + 2))) 8) (to_int32 (mm ((t * 4) + 3)))))
done;
for t = 16 to 63 do
w.(t) <- add32 (add32 (rh01 w.(t - 2)) w.(t - 7)) (add32 (rh00 w.(t - 15)) w.(t - 16))
done;
let rec hround (a, b, c, d, e, f, g, h) = function
| 64 ->
[| add32 sha.(0) a;
add32 sha.(1) b;
add32 sha.(2) c;
add32 sha.(3) d;
add32 sha.(4) e;
add32 sha.(5) f;
add32 sha.(6) g;
add32 sha.(7) h
|]
| t ->
let t0 = add32 (add32 h (sum1 e)) (add32 (ch e f g) (add32 k.(t) w.(t))) in
let t1 = add32 (sum0 a) (maj a b c) in
hround (add32 t0 t1, a, b, c, add32 d t0, e, f, g) (t + 1)
in
ctx.h <- hround (sha.(0), sha.(1), sha.(2), sha.(3), sha.(4), sha.(5), sha.(6), sha.(7)) 0;
ctx.total_length <- add64 ctx.total_length (Int64.of_int message_bits))
let sub_buf b pos len =
let s = Buffer.sub b pos len in
let b' = Buffer.create (String.length s) in
Buffer.add_string b' s;
b'
let hexdigits64 m =
let rec hexdigits_inner hx i =
match i with
| 64 -> hx
| _ -> hexdigits_inner (hx ^ Printf.sprintf "%02x" (int_of_char (Buffer.nth m i))) (i + 1)
in
hexdigits_inner "" 0
let pack_sha256 ctx =
let h = ctx.h in
let sha256 = Buffer.create (as_bytes 256) in
let rec pack_sha256_inner = function
| 8 -> sha256
| i ->
Buffer.add_buffer sha256 (pack32 h.(i));
pack_sha256_inner (i + 1)
in
pack_sha256_inner 0
let final ctx message =
let original_length = as_bits (Buffer.length message) in
if original_length > bs_in_bits
then
failwith
("error: final: must be called with message smaller than 512 bits;"
^ " got "
^ string_of_int original_length
^ " bits")
else (
let pad_blocks = if original_length mod bs_in_bits < 448 then 1 else 2 in
ctx.total_length <- add64 ctx.total_length (Int64.of_int original_length);
Buffer.add_char message '\x80';
let pad_start = as_bits (Buffer.length message) in
let message_length = ((original_length / bs_in_bits) + pad_blocks) * bs_in_bits in
(* appending k bits of 0 (where message_length-64 is our k) *)
(* XXX: Buffer.fill? *)
for _i = as_bytes pad_start to as_bytes (message_length - as_bytes 64) - 8 do
Buffer.add_char message '\x00'
done;
Buffer.add_buffer message (pack64 ctx.total_length);
let new_length = as_bits (Buffer.length message) in
if new_length = 1024
then (
update ctx (sub_buf message 0 bs_in_bytes);
update ctx (sub_buf message bs_in_bytes bs_in_bytes))
else if new_length = 512
then update ctx message
else failwith ("error: final: unexpected length " ^ string_of_int new_length))
let digest message =
let message_length = as_bits (Buffer.length message) in
let ctx = init () in
let total_blocks = message_length / bs_in_bits in
let last_block_pos = total_blocks * bs_in_bytes in
let last_block_len = as_bytes message_length - last_block_pos in
for blockno = 0 to total_blocks - 1 do
update ctx (sub_buf message (blockno * bs_in_bytes) bs_in_bytes)
done;
final ctx (sub_buf message last_block_pos last_block_len);
pack_sha256 ctx
let hexdigits m =
let rec hexdigits_inner hx = function
| 32 -> hx
| i -> hexdigits_inner (hx ^ Printf.sprintf "%02x" (int_of_char (Buffer.nth m i))) (i + 1)
in
hexdigits_inner "" 0
let hexdigest s =
let b = Buffer.create (String.length s) in
Buffer.add_string b s;
hexdigits (digest b)
let test () =
let rec run_tests = function
| [] -> ()
| (msg, sum) :: tests ->
let result = hexdigest msg in
if result = sum
then Printf.printf "ok: sha256('%s') = '%s'\n" msg sum
else Printf.printf "FAIL: sha256('%s') != '%s'; got '%s'\n" msg sum result;
run_tests tests
in
run_tests
[ "", "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855";
"def", "cb8379ac2098aa165029e3938a51da0bcecfc008fd6795f401178647f96c5b34";
"abc", "ba7816bf8f01cfea414140de5dae2223b00361a396177a9cb410ff61f20015ad";
( "The quick brown fox jumps over the lazy dog",
"d7a8fbb307d7809469ca9abcb0082e4f8d5651e46d3cdb762d02d0bf37c9e592" );
( "The quick brown fox jumps over the lazy cog",
"e4c4d8f3bf76b692de791a173e05321150f7a345b46484fe427f6acc7ecc81be" );
"abcabcabc", "76b99ab4be8521d78b19bcff7d1078aabeb477bd134f404094c92cd39f051c3e";
( "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"7d3e74a05d7db15bce4ad9ec0658ea98e3f06eeecf16b4c6fff2da457ddc2f34" );
( "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"ffe054fe7ae0cb6dc65c3af9b61d5209f439851db43d0ba5997337df154668eb" );
( "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"635361c48bb9eab14198e76ea8ab7f1a41685d6ad62aa9146d301d4f17eb0ae0" );
( "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa",
"6bc3b8eaea5380e522ff7df7736989b5e3fff569ba75003be63a8e7ab9c8123e" )
]
(* let () = test () *)