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urbit/try/lib/cryo.hoon
Steve Dee c8655dbeca Merge branch 'master' into newbreach 
Took master's pill.

Conflicts:
	Makefile
	urb/urbit.pill
2014-04-16 10:53:50 -07:00

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!:
:: Crypto library for toys. Don't use these for anything real.
:: They will take forever and skywrite your secret key over Fort Meade.
::
|%
++ aes
=+ [gr=(ga 8 0x11b 3) few==>(fe .(a 5))]
=+ [pro=pro.gr dif=dif.gr pow=pow.gr ror=ror.few]
=+ [nnk=8 nnb=4 nnr=14]
=>
=> |%
++ cipa :: AES params
$_ ^? |%
++ co _[p=@ q=@ r=@ s=@] :: col coefs
++ ix |+(a=@ _@) :: key index
++ ro _[p=@ q=@ r=@ s=@] :: row shifts
++ su _@ :: s-box
--
--
|%
++ fort :: encrypt
^- cipa
|%
++ co [0x2 0x3 1 1]
++ ix |+(a=@ a)
++ ro [0 1 2 3]
++ su 0x16bb.54b0.0f2d.9941.6842.e6bf.0d89.a18c.
df28.55ce.e987.1e9b.948e.d969.1198.f8e1.
9e1d.c186.b957.3561.0ef6.0348.66b5.3e70.
8a8b.bd4b.1f74.dde8.c6b4.a61c.2e25.78ba.
08ae.7a65.eaf4.566c.a94e.d58d.6d37.c8e7.
79e4.9591.62ac.d3c2.5c24.0649.0a3a.32e0.
db0b.5ede.14b8.ee46.8890.2a22.dc4f.8160.
7319.5d64.3d7e.a7c4.1744.975f.ec13.0ccd.
d2f3.ff10.21da.b6bc.f538.9d92.8f40.a351.
a89f.3c50.7f02.f945.8533.4d43.fbaa.efd0.
cf58.4c4a.39be.cb6a.5bb1.fc20.ed00.d153.
842f.e329.b3d6.3b52.a05a.6e1b.1a2c.8309.
75b2.27eb.e280.1207.9a05.9618.c323.c704.
1531.d871.f1e5.a534.ccf7.3f36.2693.fdb7.
c072.a49c.afa2.d4ad.f047.59fa.7dc9.82ca.
76ab.d7fe.2b67.0130.c56f.6bf2.7b77.7c63
--
::
++ firs :: decrypt
^- cipa
|%
++ co [0xe 0xb 0xd 0x9]
++ ix |=(a=@ (sub nnr a))
++ ro [0 3 2 1]
++ su 0x7d0c.2155.6314.69e1.26d6.77ba.7e04.2b17.
6199.5383.3cbb.ebc8.b0f5.2aae.4d3b.e0a0.
ef9c.c993.9f7a.e52d.0d4a.b519.a97f.5160.
5fec.8027.5910.12b1.31c7.0788.33a8.dd1f.
f45a.cd78.fec0.db9a.2079.d2c6.4b3e.56fc.
1bbe.18aa.0e62.b76f.89c5.291d.711a.f147.
6edf.751c.e837.f9e2.8535.ade7.2274.ac96.
73e6.b4f0.cecf.f297.eadc.674f.4111.913a.
6b8a.1301.03bd.afc1.020f.3fca.8f1e.2cd0.
0645.b3b8.0558.e4f7.0ad3.bc8c.00ab.d890.
849d.8da7.5746.155e.dab9.edfd.5048.706c.
92b6.655d.cc5c.a4d4.1698.6886.64f6.f872.
25d1.8b6d.49a2.5b76.b224.d928.66a1.2e08.
4ec3.fa42.0b95.4cee.3d23.c2a6.3294.7b54.
cbe9.dec4.4443.8e34.87ff.2f9b.8239.e37c.
fbd7.f381.9ea3.40bf.38a5.3630.d56a.0952
--
::
++ mcol
|= [a=(list ,@) b=[p=@ q=@ r=@ s=@]] ^- (list ,@)
=+ c=[p=_@ q=_@ r=_@ s=_@]
|- ^- (list ,@)
?~ a ~
=> .(p.c (cut 3 [0 1] i.a))
=> .(q.c (cut 3 [1 1] i.a))
=> .(r.c (cut 3 [2 1] i.a))
=> .(s.c (cut 3 [3 1] i.a))
:_ $(a t.a)
%+ can 3
:~ [1 :(dif (pro p.c p.b) (pro q.c q.b) (pro r.c r.b) (pro s.c s.b))]
[1 :(dif (pro p.c s.b) (pro q.c p.b) (pro r.c q.b) (pro s.c r.b))]
[1 :(dif (pro p.c r.b) (pro q.c s.b) (pro r.c p.b) (pro s.c q.b))]
[1 :(dif (pro p.c q.b) (pro q.c r.b) (pro r.c s.b) (pro s.c p.b))]
==
::
++ pode :: explode to block
|= [a=bloq b=@ c=@] ^- (list ,@)
=+ d=(rip a c)
=+ m=(met a c)
|-
?: =(m b)
d
$(m +(m), d (weld d (limo [0 ~])))
++ sube :: s-box word
|= [a=@ b=@] ^- @
(rep 3 (turn (pode 3 4 a) |=(c=@ (cut 3 [c 1] b))))
--
|%
++ ciph :: AES cipher
|= [a=@ b=@ t=cipa] ^- @
=> %= .
+
=> +
|%
++ ankh
|= [a=@ b=@]
(pode 5 nnb (cut 5 [(mul (ix.t a) nnb) nnb] b))
++ sark
|= [c=(list ,@) d=(list ,@)] ^- (list ,@)
?~ c ~
?~ d !!
[(mix i.c i.d) $(c t.c, d t.d)]
++ srow
|= a=(list ,@) ^- (list ,@)
=+ [i=0 b=~ c=ro.t]
|-
?: =(i nnb)
b
:_ $(i +(i))
%+ can 3
:~ [1 (cut 3 [0 1] (snag (mod (add p.c i) nnb) a))]
[1 (cut 3 [1 1] (snag (mod (add q.c i) nnb) a))]
[1 (cut 3 [2 1] (snag (mod (add r.c i) nnb) a))]
[1 (cut 3 [3 1] (snag (mod (add s.c i) nnb) a))]
==
++ subs
|= a=(list ,@) ^- (list ,@)
?~ a ~
[(sube i.a su.t) $(a t.a)]
--
==
=+ [s=(pode 5 nnb a) i=1]
=> .(s (sark s (ankh 0 b)))
|-
?. =(nnr i)
=> .(s (subs s))
=> .(s (srow s))
=> .(s (mcol s co.t))
=> .(s (sark s (ankh i b)))
$(i +(i))
=> .(s (subs s))
=> .(s (srow s))
=> .(s (sark s (ankh nnr b)))
(rep 5 s)
++ keen :: key expansion
|= a=@ ^- @
=+ [b=a c=0 d=su:fort i=nnk]
|-
?: =(i (mul nnb +(nnr)))
b
=> .(c (cut 5 [(dec i) 1] b))
=> ?: =(0 (mod i nnk))
=> .(c (ror 3 1 c))
=> .(c (sube c d))
.(c (mix c (pow (dec (div i nnk)) 2)))
?: &((gth nnk 6) =(4 (mod i nnk)))
.(c (sube c d))
.
=> .(c (mix c (cut 5 [(sub i nnk) 1] b)))
=> .(b (cat 5 b c))
$(i +(i))
++ keep :: inv expansion
|= a=@ ^- @
=+ [i=1 j=_@ b=_@ c=firs]
|-
?: =(nnr i)
a
=> .(b (cut 7 [i 1] a))
=> .(b (rep 5 (mcol (pode 5 4 b) co.c)))
=> .(j (sub nnr i))
%= $
i +(i)
a
%+ can 7
:~ [i (cut 7 [0 i] a)]
[1 b]
[j (cut 7 [+(i) j] a)]
==
==
++ bren |=([k=@I m=@H] (ciph m (keen k) fort)) :: AES en, one block
++ brin |=([k=@I m=@H] (ciph m (keep (keen k)) firs)) :: AES de, one block
++ burn :: AES random blocks
|= [key=@I haf=@H len=@]
=+ i=0
|-
?: =(i len)
0
(rap 7 (bren key (mix i haf)) $(i +(i)) ~)
++ en
|+ [key=@I msg=@] ^- @uv
=+ len=(met 7 msg)
=+ adj=?:(=(0 len) 1 len)
=+ hax=(shax (mix key (shax (mix adj msg))))
=+ haf=(mix (cut 7 [0 1] hax) (cut 7 [1 1] hax))
=+ ret=(can 7 ~[[2 hax] [adj (mix (burn key haf adj) msg)]])
ret
++ de
|+ [key=@I cep=@] ^- (unit ,@uv)
=+ toh=(met 7 cep)
?: (lth toh 3)
~
=+ adj=(sub toh 2)
=+ [hax=(end 8 1 cep) bod=(rsh 8 1 cep)]
=+ haf=(mix (cut 7 [0 1] hax) (cut 7 [1 1] hax))
=+ msg=(mix (burn key haf adj) bod)
?. =(hax (shax (mix key (shax (mix adj msg)))))
~
[~ msg]
--
++ edd :: ed25519
=> =+ b=256
=+ q=(sub (bex 255) 19)
=+ fq=~(. fo q)
=+ ^= l
%+ add
(bex 252)
27.742.317.777.372.353.535.851.937.790.883.648.493
=+ d=(dif.fq 0 (fra.fq 121.665 121.666))
=+ ii=(exp.fq (div (dec q) 4) 2)
|%
++ norm |=(x=@ ?:(=(0 (mod x 2)) x (sub q x)))
::
++ xrec :: recover x-coord
|= y=@ ^- @
=+ ^= xx
%+ mul (dif.fq (mul y y) 1)
(inv.fq +(:(mul d y y)))
=+ x=(exp.fq (div (add 3 q) 8) xx)
?: !=(0 (dif.fq (mul x x) (sit.fq xx)))
(norm (pro.fq x ii))
(norm x)
::
++ ward :: edwards multiply
|= [pp=[@ @] qq=[@ @]] ^- [@ @]
=+ dp=:(pro.fq d -.pp -.qq +.pp +.qq)
=+ ^= xt
%+ pro.fq
%+ sum.fq
(pro.fq -.pp +.qq)
(pro.fq -.qq +.pp)
(inv.fq (sum.fq 1 dp))
=+ ^= yt
%+ pro.fq
%+ sum.fq
(pro.fq +.pp +.qq)
(pro.fq -.pp -.qq)
(inv.fq (dif.fq 1 dp))
[xt yt]
::
++ scam :: scalar multiply
|= [pp=[@ @] e=@] ^- [@ @]
?: =(0 e)
[0 1]
=+ qq=$(e (div e 2))
=> .(qq (ward qq qq))
?: =(1 (dis 1 e))
(ward qq pp)
qq
::
++ etch :: encode point
|= pp=[@ @] ^- @
(can 0 ~[[(sub b 1) +.pp] [1 (dis 1 -.pp)]])
::
++ curv :: point on curve?
|= [x=@ y=@] ^- ?
.= 0
%+ dif.fq
%+ sum.fq
(pro.fq (sub q (sit.fq x)) x)
(pro.fq y y)
(sum.fq 1 :(pro.fq d x x y y))
::
++ deco :: decode point
|= s=@ ^- (unit ,[@ @])
=+ y=(cut 0 [0 (dec b)] s)
=+ si=(cut 0 [(dec b) 1] s)
=+ x=(xrec y)
=> .(x ?:(!=(si (dis 1 x)) (sub q x) x))
=+ pp=[x y]
?. (curv pp)
~
[~ pp]
::
--
=+ ^= bb
=+ bby=(pro.fq 4 (inv.fq 5))
[(xrec bby) bby]
|%
++ puck :: public key
|= sk=@ ^- @
=+ h=(shal (rsh 0 3 b) sk)
=+ ^= a
%+ add
(bex (sub b 2))
(lsh 0 3 (cut 0 [3 (sub b 5)] h))
=+ aa=(scam bb a)
(etch aa)
::
++ sign :: certify
|= [m=@ sk=@ pk=@] ^- @
=+ h=(shal (rsh 0 3 b) sk)
=+ ^= a
%+ add
(bex (sub b 2))
(lsh 0 3 (cut 0 [3 (sub b 5)] h))
=+ ^= r
=+ hm=(cut 0 [b b] h)
=+ ^= i
%+ can 0
:~ [b hm]
[(met 0 m) m]
==
(shaz i)
=+ rr=(scam bb r)
=+ ^= ss
=+ er=(etch rr)
=+ ^= ha
%+ can 0
:~ [b er]
[b pk]
[(met 0 m) m]
==
(~(sit fo l) (add r (mul (shaz ha) a)))
(can 0 ~[[b (etch rr)] [b ss]])
::
++ veri :: validate
|= [s=@ m=@ pk=@] ^- ?
?: (gth (div b 4) (met 3 s)) |
?: (gth (div b 8) (met 3 pk)) |
=+ rr=(deco (cut 0 [0 b] s))
?~ rr |
=+ aa=(deco pk)
?~ aa |
=+ ss=(cut 0 [b b] s)
=+ ha=(can 0 ~[[b (etch u.rr)] [b pk] [(met 0 m) m]])
=+ h=(shaz ha)
=((scam bb ss) (ward u.rr (scam u.aa h)))
::
--
++ curv
=+ pol=486.662
|%
++ gen
|= ent=@
(cla (shaw 0 256 ent))
::
++ cla
|= raw=@
=+ low=(dis 248 (cut 3 [0 1] raw))
=+ hih=(con 64 (dis 127 (cut 3 [31 1] raw)))
=+ mid=(cut 3 [1 30] raw)
(can 3 [[1 low] [30 mid] [1 hih] ~])
::
++ sqr |= in=@ (mul in in)
::
++ pri (sub (bex 255) 19)
::
++ inv
|= in=@
(~(exp fo pri) (sub pri 2) in)
::
++ cad
|= [n=[x=@ z=@] m=[x=@ z=@] d=[x=@ z=@]]
=+ ^= xx
;: mul 4 z.d
(sqr (abs:si (dif:si (sun:si (mul x.m x.n)) (sun:si (mul z.m z.n)))))
==
=+ ^= zz
;: mul 4 x.d
(sqr (abs:si (dif:si (sun:si (mul x.m z.n)) (sun:si (mul z.m x.n)))))
==
[(mod xx pri) (mod zz pri)]
::
++ cub
|= [x=@ z=@]
=+ ^= xx
(mul (sqr (abs:si (dif:si (sun:si x) (sun:si z)))) (sqr (add x z)))
=+ ^= zz
:(mul 4 x z :(add (sqr x) :(mul pol x z) (sqr z)))
[(mod xx pri) (mod zz pri)]
::
++ curve
|= [n=@ base=@]
=+ one=[base 1]
=+ two=(cub one)
=+ i=253
=+ q=one
=+ r=(cub one)
|-
?: =(i 0)
=+ x=(cub q)
(mod (mul -.x (inv +.x)) pri)
=+ m=(rsh 0 i n)
?: =(0 (mod m 2))
$(i (dec i), r (cad q r one), q (cub q))
$(i (dec i), q (cad q r one), r (cub r))
--
--
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