Created
July 31, 2015 02:06
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local mod = 2^32 | |
local modm = mod-1 | |
local function memoize(f) | |
local mt = {} | |
local t = setmetatable({}, mt) | |
function mt:__index(k) | |
local v = f(k) | |
t[k] = v | |
return v | |
end | |
return t | |
end | |
local function make_bitop_uncached(t, m) | |
local function bitop(a, b) | |
local res,p = 0,1 | |
while a ~= 0 and b ~= 0 do | |
local am, bm = a % m, b % m | |
res = res + t[am][bm] * p | |
a = (a - am) / m | |
b = (b - bm) / m | |
p = p*m | |
end | |
res = res + (a + b) * p | |
return res | |
end | |
return bitop | |
end | |
local function make_bitop(t) | |
local op1 = make_bitop_uncached(t,2^1) | |
local op2 = memoize(function(a) return memoize(function(b) return op1(a, b) end) end) | |
return make_bitop_uncached(op2, 2 ^ (t.n or 1)) | |
end | |
local bxor1 = make_bitop({[0] = {[0] = 0,[1] = 1}, [1] = {[0] = 1, [1] = 0}, n = 4}) | |
local function bxor(a, b, c, ...) | |
local z = nil | |
if b then | |
a = a % mod | |
b = b % mod | |
z = bxor1(a, b) | |
if c then z = bxor(z, c, ...) end | |
return z | |
elseif a then return a % mod | |
else return 0 end | |
end | |
local function band(a, b, c, ...) | |
local z | |
if b then | |
a = a % mod | |
b = b % mod | |
z = ((a + b) - bxor1(a,b)) / 2 | |
if c then z = bit32_band(z, c, ...) end | |
return z | |
elseif a then return a % mod | |
else return modm end | |
end | |
local function bnot(x) return (-1 - x) % mod end | |
local function rshift1(a, disp) | |
if disp < 0 then return lshift(a,-disp) end | |
return math.floor(a % 2 ^ 32 / 2 ^ disp) | |
end | |
local function rshift(x, disp) | |
if disp > 31 or disp < -31 then return 0 end | |
return rshift1(x % mod, disp) | |
end | |
local function lshift(a, disp) | |
if disp < 0 then return rshift(a,-disp) end | |
return (a * 2 ^ disp) % 2 ^ 32 | |
end | |
local function rrotate(x, disp) | |
x = x % mod | |
disp = disp % 32 | |
local low = band(x, 2 ^ disp - 1) | |
return rshift(x, disp) + lshift(low, 32 - disp) | |
end | |
local k = { | |
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, | |
} | |
local function str2hexa(s) | |
return (string.gsub(s, ".", function(c) return string.format("%02x", string.byte(c)) end)) | |
end | |
local function num2s(l, n) | |
local s = "" | |
for i = 1, n do | |
local rem = l % 256 | |
s = string.char(rem) .. s | |
l = (l - rem) / 256 | |
end | |
return s | |
end | |
local function s232num(s, i) | |
local n = 0 | |
for i = i, i + 3 do n = n*256 + string.byte(s, i) end | |
return n | |
end | |
local function preproc(msg, len) | |
local extra = 64 - ((len + 9) % 64) | |
len = num2s(8 * len, 8) | |
msg = msg .. "\128" .. string.rep("\0", extra) .. len | |
assert(#msg % 64 == 0) | |
return msg | |
end | |
local function InitH256(H) | |
H[1] = 0x6a09e667 | |
H[2] = 0xbb67ae85 | |
H[3] = 0x3c6ef372 | |
H[4] = 0xa54ff53a | |
H[5] = 0x510e527f | |
H[6] = 0x9b05688c | |
H[7] = 0x1f83d9ab | |
H[8] = 0x5be0cd19 | |
return H | |
end | |
local function DigestBlock(msg, i, H) | |
local w = {} | |
for j = 1, 16 do w[j] = s232num(msg, i + (j - 1)*4) end | |
for j = 17, 64 do | |
local v = w[j - 15] | |
local s0 = bxor(rrotate(v, 7), rrotate(v, 18), rshift(v, 3)) | |
v = w[j - 2] | |
w[j] = w[j - 16] + s0 + w[j - 7] + bxor(rrotate(v, 17), rrotate(v, 19), rshift(v, 10)) | |
end | |
local a, b, c, d, e, f, g, h = H[1], H[2], H[3], H[4], H[5], H[6], H[7], H[8] | |
for i = 1, 64 do | |
local s0 = bxor(rrotate(a, 2), rrotate(a, 13), rrotate(a, 22)) | |
local maj = bxor(band(a, b), band(a, c), band(b, c)) | |
local t2 = s0 + maj | |
local s1 = bxor(rrotate(e, 6), rrotate(e, 11), rrotate(e, 25)) | |
local ch = bxor (band(e, f), band(bnot(e), g)) | |
local t1 = h + s1 + ch + k[i] + w[i] | |
h, g, f, e, d, c, b, a = g, f, e, d + t1, c, b, a, t1 + t2 | |
end | |
H[1] = band(H[1] + a) | |
H[2] = band(H[2] + b) | |
H[3] = band(H[3] + c) | |
H[4] = band(H[4] + d) | |
H[5] = band(H[5] + e) | |
H[6] = band(H[6] + f) | |
H[7] = band(H[7] + g) | |
H[8] = band(H[8] + h) | |
end | |
local function sha256(msg) | |
msg = preproc(msg, #msg) | |
local H = InitH256({}) | |
for i = 1, #msg, 64 do DigestBlock(msg, i, H) end | |
return str2hexa(num2s(H[1], 4) .. num2s(H[2], 4) .. num2s(H[3], 4) .. num2s(H[4], 4) | |
.. num2s(H[5], 4) .. num2s(H[6], 4) .. num2s(H[7], 4) .. num2s(H[8], 4)) | |
end |
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