urbit/pkg/arvo/tests/lib/primitive-rsa.hoon
Jared Tobin b3901ab42f Add 'pkg/arvo/' from commit 'c20e2a185f131ff3f5d3961829bd7a3fe0f227f8'
git-subtree-dir: pkg/arvo
git-subtree-mainline: 9c8f40bf6c
git-subtree-split: c20e2a185f
2019-06-28 12:48:05 +08:00

138 lines
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/+ primitive-rsa, *test
=* rsa primitive-rsa
|%
++ test-rsakey
=/ primes=(list @)
:~ 2 3 5 7 11 13 17 19 23 29 31 37 41 43
47 53 59 61 67 71 73 79 83 89 97 101 103 107
109 113 127 131 137 139 149 151 157 163 167 173 179 181
191 193 197 199 211 223 227 229 233 239 241 251 257 263
269 271 277 281 283 293 307 311 313 317 331 337 347 349
353 359 367 373 379 383 389 397 401 409 419 421 431 433
439 443 449 457 461 463 467 479 487 491 499 503 509 521
523 541 547 557 563 569 571 577 587 593 599 601 607 613
617 619 631 641 643 647 653 659 661 673 677 683 691 701
709 719 727 733 739 743 751
==
=/ k1 (new-key:rsa 2.048 0xdead.beef)
::
=/ k2=key:rsa
=/ p 0x1837.be57.1286.bf6a.3cf8.4716.634f.ef85.f947.c654.da6e.e222.
5654.9466.0ab0.a2ef.1985.1095.e3c3.9e74.9478.e3f3.ee92.f885.ec3c.
84c3.6b3c.9731.65f9.9d1d.f743.646f.37d7.82d8.3f4a.856c.6453.b2c8.
28d5.d720.145e.c7ab.4ba9.a9c2.6b8e.8819.7aa8.69b3.420f.dbfa.1ddb.
4d1a.9c2e.e25a.d4de.d351.945f.d7ca.74a4.815d.5f0e.9f44.df64.39bd
=/ q 0xf1bc.ec8f.d238.32d9.afb8.8083.76b3.82da.6274.f56e.1b5b.662b.
ab1b.1e01.fbd5.86c5.ba98.b246.b621.f190.2425.25ea.b39f.efa2.4fb8.
0d6b.c3c4.460d.e7df.d2f5.6604.51e0.415b.db60.db5a.6601.16c7.46ec.
5e67.9195.f3c9.80d3.47c5.fe24.fbfd.43c3.380a.40bd.c4f5.d65e.b93b.
60ca.5f26.4ed7.9c64.d26d.b0fe.985d.7be3.1308.34dd.b8c5.4d7c.d8a5
=/ n (mul p q)
=/ e 0x1.0001
=/ d (~(inv fo (elcm:rsa (dec p) (dec q))) e)
[[n e] `[d p q]]
::
|^ ^- tang
;: weld
(check-primes k1)
(check-primes k2)
==
++ check-primes
=, number
|= k=key:rsa
?> ?=(^ sek.k)
%+ roll primes
|= [p=@ a=tang]
?^ a a
?: =(0 (mod n.pub.k p))
:~ leaf+"{(scow %ux n.pub.k)}"
:- %leaf
%+ weld
"n.pub.key (prime? {(scow %f (pram n.pub.k))})"
" divisible by {(scow %ud p)}:"
==
?: =(0 (mod p.u.sek.k p))
:~ leaf+"{(scow %ux p.u.sek.k)}"
:- %leaf
%+ weld
"p.u.sek.key (prime? {(scow %f (pram p.u.sek.k))})"
" divisible by {(scow %ud p)}:"
==
?: =(0 (mod q.u.sek.k p))
:~ leaf+"{(scow %ux q.u.sek.k)}"
:- %leaf
%+ weld
"q.u.sek.key (prime? {(scow %f (pram q.u.sek.k))})"
" divisible by {(scow %ud p)}:"
==
~
--
::
++ test-rsa
=/ k1=key:rsa
=/ p `@ux`61
=/ q `@ux`53
=/ e `@ux`17
=/ n (mul p q)
=/ d (~(inv fo (elcm:rsa (dec p) (dec q))) e)
[[n e] `[d p q]]
::
=/ k2=key:rsa
:- [`@ux`143 `@ux`7]
[~ `@ux`103 `@ux`11 `@ux`13]
::
:: ex from http://doctrina.org/How-RSA-Works-With-Examples.html
=/ k3=key:rsa
=/ p
12.131.072.439.211.271.897.323.671.531.612.440.428.472.427.633.701.410.
925.634.549.312.301.964.373.042.085.619.324.197.365.322.416.866.541.
017.057.361.365.214.171.711.713.797.974.299.334.871.062.829.803.541
=/ q
12.027.524.255.478.748.885.956.220.793.734.512.128.733.387.803.682.075.
433.653.899.983.955.179.850.988.797.899.869.146.900.809.131.611.153.
346.817.050.832.096.022.160.146.366.346.391.812.470.987.105.415.233
=/ n (mul p q)
=/ e 65.537
=/ d (~(inv fo (elcm:rsa (dec p) (dec q))) e)
[[`@ux`n `@ux`e] `[`@ux`d `@ux`p `@ux`q]]
=/ m3 (swp 3 'attack at dawn')
=/ c3
35.052.111.338.673.026.690.212.423.937.053.328.511.880.760.811.579.981.
620.642.802.346.685.810.623.109.850.235.943.049.080.973.386.241.113.
784.040.794.704.193.978.215.378.499.765.413.083.646.438.784.740.952.
306.932.534.945.195.080.183.861.574.225.226.218.879.827.232.453.912.
820.596.886.440.377.536.082.465.681.750.074.417.459.151.485.407.445.
862.511.023.472.235.560.823.053.497.791.518.928.820.272.257.787.786
::
?> ?=(^ sek.k1)
;: weld
%+ expect-eq
!> `@ux`413
!> d.u.sek.k1
::
%+ expect-eq
!> 2.790
!> (en:rsa 65 k1)
::
%+ expect-eq
!> 65
!> (de:rsa 2.790 k1)
::
%+ expect-eq
!> 48
!> (en:rsa 9 k2)
::
%+ expect-eq
!> 9
!> (de:rsa 48 k2)
::
%+ expect-eq
!> c3
!> (en:rsa m3 k3)
::
%+ expect-eq
!> m3
!> (de:rsa c3 k3)
==
--