2e: Insecure Hashing

+mug

murmur3 scrambler

Hashes a with the 31-bit murmur3 non-cryptographic hash algorithm, producing an atom.

Accepts

.a is a noun.

Produces

An atom.

Source

++  mug
  ~/  %mug
  |=  a=*
  |^  ?@  a  (mum 0xcafe.babe 0x7fff a)
      =/  b  (cat 5 $(a -.a) $(a +.a))
      (mum 0xdead.beef 0xfffe b)
  ::
  ++  mum
    |=  [syd=@uxF fal=@F key=@]
    =/  wyd  (met 3 key)
    =|  i=@ud
    |-  ^-  @F
    ?:  =(8 i)  fal
    =/  haz=@F  (muk syd wyd key)
    =/  ham=@F  (mix (rsh [0 31] haz) (end [0 31] haz))
    ?.(=(0 ham) ham $(i +(i), syd +(syd)))
  --

Examples

> (mug 10.000)
795.713.195

> (mug 10.001)
420.521.697

> (mug 1)
1.901.865.568

> (mug (some 10))
750.200.080

> (mug [1 2 3 4 5 ~])
1.565.443.491

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+muk

Standard MurmurHash3

Implementation of the 32-bit MurmurHash3 non-cryptographic hash algorithm. Takes syd as the seed, len as the key length in blocks of size 3, and key as the key, producing an atom.

Accepts

syd is an atom.

len is an atom.

key is an atom.

Produces

An atom.

Source

++  muk                                                 ::  standard murmur3
  ~%  %muk  ..muk  ~
  =+  ~(. fe 5)
  |=  [syd=@ len=@ key=@]
  =.  syd      (end 5 syd)
  =/  pad      (sub len (met 3 key))
  =/  data     (weld (rip 3 key) (reap pad 0))
  =/  nblocks  (div len 4)  ::  intentionally off-by-one
  =/  h1  syd
  =+  [c1=0xcc9e.2d51 c2=0x1b87.3593]
  =/  blocks  (rip 5 key)
  =/  i  nblocks
  =.  h1  =/  hi  h1  |-
    ?:  =(0 i)  hi
    =/  k1  (snag (sub nblocks i) blocks)  ::  negative array index
    =.  k1  (sit (mul k1 c1))
    =.  k1  (rol 0 15 k1)
    =.  k1  (sit (mul k1 c2))
    =.  hi  (mix hi k1)
    =.  hi  (rol 0 13 hi)
    =.  hi  (sum (sit (mul hi 5)) 0xe654.6b64)
    $(i (dec i))
  =/  tail  (slag (mul 4 nblocks) data)
  =/  k1    0
  =/  tlen  (dis len 3)
  =.  h1
    ?+  tlen  h1  ::  fallthrough switch
      %3  =.  k1  (mix k1 (lsh [0 16] (snag 2 tail)))
          =.  k1  (mix k1 (lsh [0 8] (snag 1 tail)))
          =.  k1  (mix k1 (snag 0 tail))
          =.  k1  (sit (mul k1 c1))
          =.  k1  (rol 0 15 k1)
          =.  k1  (sit (mul k1 c2))
          (mix h1 k1)
      %2  =.  k1  (mix k1 (lsh [0 8] (snag 1 tail)))
          =.  k1  (mix k1 (snag 0 tail))
          =.  k1  (sit (mul k1 c1))
          =.  k1  (rol 0 15 k1)
          =.  k1  (sit (mul k1 c2))
          (mix h1 k1)
      %1  =.  k1  (mix k1 (snag 0 tail))
          =.  k1  (sit (mul k1 c1))
          =.  k1  (rol 0 15 k1)
          =.  k1  (sit (mul k1 c2))
          (mix h1 k1)
    ==
  =.  h1  (mix h1 len)
  |^  (fmix32 h1)
  ++  fmix32
    |=  h=@
    =.  h  (mix h (rsh [0 16] h))
    =.  h  (sit (mul h 0x85eb.ca6b))
    =.  h  (mix h (rsh [0 13] h))
    =.  h  (sit (mul h 0xc2b2.ae35))
    =.  h  (mix h (rsh [0 16] h))
    h
  --

Examples

    > (muk 6 1 3)
    3.427.677.118

    > (muk 6 2 'jerry')
    ! exit

    > (muk 6 2 'je')
    3.602.081.716

    > (met 3 'jerry')
    5

    > (met 3 'je')
    2

    > (muk 6 5 'jerry')
    1.276.447.489

    > (muk 6 15 'jerry')
    2.881.503.571

    > =e (cut 3 [0 2] eny)                            :: `eny` is 512 bits of entropy (a random number).
    > e
    44.228

    > (muk e 11 10.000)
    246.077.549

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