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Blake2s.cry
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/*
Copyright (c) 2013-2018, Galois Inc.
www.cryptol.net
*/
module Primitive::Keyless::Hash::Blake2s where
type Block = [16][32]
type State = [8][32]
type LocalState = [16][32]
type BCounter = [64]
type Context = { state : State, counter : BCounter }
// Block size
bbVal : [64]
bbVal = 64
IV : [8][32]
IV = [ 0x6A09E667, 0xBB67AE85, 0x3C6EF372, 0xA54FF53A,
0x510E527F, 0x9B05688C, 0x1F83D9AB, 0x5BE0CD19
]
SIGMA_TABLE : [10][16][4]
SIGMA_TABLE =
[ [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ]
, [ 14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3 ]
, [ 11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4 ]
, [ 7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8 ]
, [ 9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13 ]
, [ 2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9 ]
, [ 12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11 ]
, [ 13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10 ]
, [ 6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5 ]
, [ 10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13, 0 ]
]
// Section 2.1 constants
R1,R2,R3,R4 : [6]
R1 = 16
R2 = 12
R3 = 08
R4 = 07
// Section 3.1: Mixing function 'G'
G : [4] -> [4] -> LocalState -> [4][6] -> Block -> [16][32]
G r i vec abcd ms = updates vec abcd new
where
new = G' r i (vec @@ abcd) ms
G' : [4] -> [4] -> [4][32] -> Block -> [4][32]
G' r i vals ms = [a2, b2, c2, d2]
where
x = ms @ (SIGMA_TABLE @ r @ (2*i))
y = ms @ (SIGMA_TABLE @ r @ (2*i+1))
[a,b,c,d] = vals
a1 = a + b + x
d1 = (d ^ a1) >>> R1
c1 = c + d1
b1 = (b ^ c1) >>> R2
a2 = a1 + b1 + y
d2 = (d1 ^ a2) >>> R3
c2 = c1 + d2
b2 = (b1 ^ c2) >>> R4
// Section 3.2: Compression function
F : State -> Block -> BCounter -> Bit -> State
F h ms t f = h ^ (take (vs!0)) ^ (drop (vs!0))
where
v = h # IV ^ (zero # [t0,t1,f0,zero])
[t1,t0] = split t : [2][32]
f0 = [f | _ <- [0..31] : [_][6]]
vs = [v] # [ round i ms v' | v' <- vs | i <- [0..9] ]
// Sub-function of F (first for loop)
round : [4] -> Block -> LocalState -> LocalState
round r ms v = vs ! 0
where
vs = [v] # [ G r i v' ix ms
| v' <- vs
| i <- [0..7]
| ix <- [ [0,4,8,12], [1,5,9,13]
, [2,6,10,14], [3,7,11,15]
, [0,5,10,15], [1,6,11,12]
, [2,7,8,13], [3,4,9,14] ]
]
// Section 3.3: Padding
// Recall kk == key bytes (0)
// nn == hash bytes (32)
// ll == input bytes (ceiling $ len / 8)
// bb == block bytes (64, 1024 bits)
// dd == nr Blocks
blake2s : {ll,nn} (fin ll, 32 >= nn, 64 >= width ll)
=> [ll][8] -> [nn*8]
blake2s m = blake2s' `{ll=ll,nn=nn} m
blake2s' : {ll,dd,nn}
(fin ll
, 32 >= nn
, dd == (max 1 ((ll+63)/64)) - 1
, 64 >= width ll
)
=> [ll][8]
-> [nn*8]
blake2s' m = take `{nn*8} (blake2sFinish ({ state = (hs!0).state, counter = `ll}) lastBlock)
where
fullBlocks : [dd]Block
fullBlocks = [mkBlock b | b <- split (join (take `{front=64*dd,back=ll-64*dd} m))]
partialBlock = drop `{front=64*dd,back=ll-64*dd} m
lastBlock : Block
lastBlock =
if (`ll == (zero:[64]))
then zero // Special case full zero block for empty messages
else mkBlock ((split (join (partialBlock # (zero : [inf][8]))))@0)
h : Context
h = { state = [IV@0 ^ `0x01010000 ^ `nn] # drop `{1} IV, counter = 0 }
hs : [dd+1]Context
hs = [h] # [blake2Update h' dX | h' <- hs | dX <- fullBlocks]
blake2Update : Context -> Block -> Context
blake2Update ctx d = { state = newState, counter = newCount }
where newState = F ctx.state d newCount False
newCount = ctx.counter + (64 : [64])
postprocess : {ll} (64 >= ll, 64 >= width ll) => BCounter -> [ll][8] -> Block
postprocess c m =
if c == 0 /\ `ll == (zero:[64])
then zero
else split (join m # zero)
// The final round of blake
blake2sFinish : Context -> Block -> [256]
blake2sFinish ctx b = join [ reverseBytes w | w <- F ctx.state b ctx.counter True ]
////////////////////////////////////////////////////////////////////////////////
// Utilities
////////////////////////////////////////////////////////////////////////////////
mkBlock x = reverse (split (reverseBytes x))
reverseBytes x = join (reverse (bytes x))
bytes x = split x : [_] [8]
property katsPass = and
[ nthKat `{0}
, nthKat `{1}
, nthKat `{2}
, nthKat `{3}
, nthKat `{4}
, nthKat `{5}
, nthKat `{6}
, nthKat `{7}
, nthKat `{8}
, nthKat `{9}
, nthKat `{10}
, nthKat `{11}
, nthKat `{12}
, nthKat `{13}
, nthKat `{14}
, nthKat `{15}
, nthKat `{16}
, nthKat `{17}
, nthKat `{18}
, nthKat `{19}
, nthKat `{20}
, nthKat `{21}
, nthKat `{22}
, nthKat `{23}
, nthKat `{24}
, nthKat `{25}
, nthKat `{26}
, nthKat `{27}
, nthKat `{28}
, nthKat `{29}
, nthKat `{30}
, nthKat `{31}
, nthKat `{32}
, nthKat `{33}
, nthKat `{34}
, nthKat `{35}
, nthKat `{36}
, nthKat `{37}
, nthKat `{38}
, nthKat `{39}
, nthKat `{40}
, nthKat `{41}
, nthKat `{42}
, nthKat `{43}
, nthKat `{44}
, nthKat `{45}
, nthKat `{46}
, nthKat `{47}
, nthKat `{48}
, nthKat `{49}
, nthKat `{50}
, nthKat `{51}
, nthKat `{52}
, nthKat `{53}
, nthKat `{54}
, nthKat `{55}
, nthKat `{56}
, nthKat `{57}
, nthKat `{58}
, nthKat `{59}
, nthKat `{60}
, nthKat `{61}
, nthKat `{62}
, nthKat `{63}
, nthKat `{64}
, nthKat `{65}
, nthKat `{66}
, nthKat `{67}
, nthKat `{68}
, nthKat `{69}
, nthKat `{70}
, nthKat `{71}
, nthKat `{72}
, nthKat `{73}
, nthKat `{74}
, nthKat `{75}
, nthKat `{76}
, nthKat `{77}
, nthKat `{78}
, nthKat `{79}
, nthKat `{80}
, nthKat `{81}
, nthKat `{82}
, nthKat `{83}
, nthKat `{84}
, nthKat `{85}
, nthKat `{86}
, nthKat `{87}
, nthKat `{88}
, nthKat `{89}
, nthKat `{90}
, nthKat `{91}
, nthKat `{92}
, nthKat `{93}
, nthKat `{94}
, nthKat `{95}
, nthKat `{96}
, nthKat `{97}
, nthKat `{98}
, nthKat `{99}
, nthKat `{100}
, nthKat `{101}
, nthKat `{102}
, nthKat `{103}
, nthKat `{104}
, nthKat `{105}
, nthKat `{106}
, nthKat `{107}
, nthKat `{108}
, nthKat `{109}
, nthKat `{110}
, nthKat `{111}
, nthKat `{112}
, nthKat `{113}
, nthKat `{114}
, nthKat `{115}
, nthKat `{116}
, nthKat `{117}
, nthKat `{118}
, nthKat `{119}
, nthKat `{120}
, nthKat `{121}
, nthKat `{122}
, nthKat `{123}
, nthKat `{124}
, nthKat `{125}
, nthKat `{126}
, nthKat `{127}
, nthKat `{128}
, nthKat `{129}
, nthKat `{130}
, nthKat `{131}
, nthKat `{132}
, nthKat `{133}
, nthKat `{134}
, nthKat `{135}
, nthKat `{136}
, nthKat `{137}
, nthKat `{138}
, nthKat `{139}
, nthKat `{140}
, nthKat `{141}
, nthKat `{142}
, nthKat `{143}
, nthKat `{144}
, nthKat `{145}
, nthKat `{146}
, nthKat `{147}
, nthKat `{148}
, nthKat `{149}
, nthKat `{150}
, nthKat `{151}
, nthKat `{152}
, nthKat `{153}
, nthKat `{154}
, nthKat `{155}
, nthKat `{156}
, nthKat `{157}
, nthKat `{158}
, nthKat `{159}
, nthKat `{160}
, nthKat `{161}
, nthKat `{162}
, nthKat `{163}
, nthKat `{164}
, nthKat `{165}
, nthKat `{166}
, nthKat `{167}
, nthKat `{168}
, nthKat `{169}
, nthKat `{170}
, nthKat `{171}
, nthKat `{172}
, nthKat `{173}
, nthKat `{174}
, nthKat `{175}
, nthKat `{176}
, nthKat `{177}
, nthKat `{178}
, nthKat `{179}
, nthKat `{180}
, nthKat `{181}
, nthKat `{182}
, nthKat `{183}
, nthKat `{184}
, nthKat `{185}
, nthKat `{186}
, nthKat `{187}
, nthKat `{188}
, nthKat `{189}
, nthKat `{190}
, nthKat `{191}
, nthKat `{192}
, nthKat `{193}
, nthKat `{194}
, nthKat `{195}
, nthKat `{196}
, nthKat `{197}
, nthKat `{198}
, nthKat `{199}
, nthKat `{200}
, nthKat `{201}
, nthKat `{202}
, nthKat `{203}
, nthKat `{204}
, nthKat `{205}
, nthKat `{206}
, nthKat `{207}
, nthKat `{208}
, nthKat `{209}
, nthKat `{210}
, nthKat `{211}
, nthKat `{212}
, nthKat `{213}
, nthKat `{214}
, nthKat `{215}
, nthKat `{216}
, nthKat `{217}
, nthKat `{218}
, nthKat `{219}
, nthKat `{220}
, nthKat `{221}
, nthKat `{222}
, nthKat `{223}
, nthKat `{224}
, nthKat `{225}
, nthKat `{226}
, nthKat `{227}
, nthKat `{228}
, nthKat `{229}
, nthKat `{230}
, nthKat `{231}
, nthKat `{232}
, nthKat `{233}
, nthKat `{234}
, nthKat `{235}
, nthKat `{236}
, nthKat `{237}
, nthKat `{238}
, nthKat `{239}
, nthKat `{240}
, nthKat `{241}
, nthKat `{242}
, nthKat `{243}
, nthKat `{244}
, nthKat `{245}
, nthKat `{246}
, nthKat `{247}
, nthKat `{248}
, nthKat `{249}
, nthKat `{250}
, nthKat `{251}
, nthKat `{252}
, nthKat `{253}
, nthKat `{254}
, nthKat `{255}
]
nthKat : {n} (fin n, 8 >= width n) => Bit
nthKat = blake2s (nthKatInput `{n}) == kats @ (`n : [8])
nthKatInput : {n} (fin n) => [n][8]
nthKatInput = take ([0 ... ] : [inf][8])
kats = [ 0x69217a3079908094e11121d042354a7c1f55b6482ca1a51e1b250dfd1ed0eef9
, 0xe34d74dbaf4ff4c6abd871cc220451d2ea2648846c7757fbaac82fe51ad64bea
, 0xddad9ab15dac4549ba42f49d262496bef6c0bae1dd342a8808f8ea267c6e210c
, 0xe8f91c6ef232a041452ab0e149070cdd7dd1769e75b3a5921be37876c45c9900
, 0x0cc70e00348b86ba2944d0c32038b25c55584f90df2304f55fa332af5fb01e20
, 0xec1964191087a4fe9df1c795342a02ffc191a5b251764856ae5b8b5769f0c6cd
, 0xe1fa51618d7df4eb70cf0d5a9e906f806e9d19f7f4f01e3b621288e4120405d6
, 0x598001fafbe8f94ec66dc827d012cfcbba2228569f448e89ea2208c8bf769293
, 0xc7e887b546623635e93e0495598f1726821996c2377705b93a1f636f872bfa2d
, 0xc315a437dd28062a770d481967136b1b5eb88b21ee53d0329c5897126e9db02c
, 0xbb473deddc055fea6228f207da575347bb00404cd349d38c18026307a224cbff
, 0x687e1873a8277591bb33d9adf9a13912efefe557cafc39a7952623e47255f16d
, 0x1ac7ba754d6e2f94e0e86c46bfb262abbb74f450ef456d6b4d97aa80ce6da767
, 0x012c97809614816b5d9494477d4b687d15b96eb69c0e8074a8516f31224b5c98
, 0x91ffd26cfa4da5134c7ea262f7889c329f61f6a657225cc212f40056d986b3f4
, 0xd97c828d8182a72180a06a78268330673f7c4e0635947c04c02323fd45c0a52d
, 0xefc04cdc391c7e9119bd38668a534e65fe31036d6a62112e44ebeb11f9c57080
, 0x992cf5c053442a5fbc4faf583e04e50bb70d2f39fbb6a503f89e56a63e18578a
, 0x38640e9f21983e67b539caccae5ecf615ae2764f75a09c9c59b76483c1fbc735
, 0x213dd34c7efe4fb27a6b35f6b4000d1fe03281af3c723e5c9f94747a5f31cd3b
, 0xec246eeeb9ced3f7ad33ed28660dd9bb0732513db4e2fa278b60cde3682a4ccd
, 0xac9b61d446648c3005d7892bf3a8719f4c8181cfdcbc2b79fef10a279b911095
, 0x7bf8b22959e34e3a43f7079223e83a9754617d391e213dfd808e41b9bead4ce7
, 0x68d4b5d4fa0e302b64ccc5af792913ac4c88ec95c07ddf40694256eb88ce9f3d
, 0xb2c2420f05f9abe36315919336b37e4e0fa33ff7e76a492767006fdb5d935462
, 0x134f61bbd0bbb69aed5343904551a3e6c1aa7dcdd77e903e7023eb7c60320aa7
, 0x4693f9bff7d4f3986a7d176e6e06f72ad1490d805c99e25347b8de77b4db6d9b
, 0x853e26f741953b0fd5bdb424e8ab9e8b3750eaa8ef61e47902c91e554e9c73b9
, 0xf7de536361abaa0e158156cf0ea4f63a99b5e4054f8fa4c9d45f6285cad55694
, 0x4c230608860a99ae8d7bd5c2cc17fa52096b9a61bedb17cb7617864ad29ca7a6
, 0xaeb920ea87952dadb1fb759291e3388139a872865001886ed84752e93c250c2a
, 0xaba4ad9b480b9df3d08ca5e87b0c2440d4e4ea21224c2eb42cbae469d089b931
, 0x05825607d7fdf2d82ef4c3c8c2aea961ad98d60edff7d018983e21204c0d93d1
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