shrub/app/acme.hoon

/+  tester
=,  eyre
::
::::  libraries
::
|%
++  base64                                        :: rfc4648
  =+  [pad=& url=|]                               :: section 4 or 5
  |%
  ++  en                                          :: encode base64
    |=  tig=@
    ^-  cord
    =/  poc  (~(dif fo 3) 0 (met 3 tig))
    =/  pad  (lsh 3 poc (swp 3 tig))
    =/  cha
      ?:  url
        'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789-_'
      'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'
    %-  crip
    %-  flop
    %+  weld
      ?.(^pad ~ (reap poc '='))
    %+  slag  poc
    |-  ^-  tape
    ?~  pad  ~
    =/  d  (end 3 3 pad)
    :*  (cut 3 [(cut 0 [0 6] d) 1] cha)
        (cut 3 [(cut 0 [6 6] d) 1] cha)
        (cut 3 [(cut 0 [12 6] d) 1] cha)
        (cut 3 [(cut 0 [18 6] d) 1] cha)
        $(pad (rsh 3 3 pad))
    ==
  ::
  ++  de                                          :: decode base64
    |=  a=cord
    ^-  (unit @)
    %+  rush  a
    %+  cook  (cury swp 3)
    %+  bass  64
    %+  cook  welp
    ;~  plug
      %-  plus
      ;~  pose
        (cook |=(a=@ (sub a 'A')) (shim 'A' 'Z'))
        (cook |=(a=@ (sub a 'G')) (shim 'a' 'z'))
        (cook |=(a=@ (add a 4)) (shim '0' '9'))
        (cold 62 (just ?:(url '-' '+')))
        (cold 63 (just ?:(url '_' '/')))
      ==
      ?:  pad
        (stun 0^2 (cold %0 tis))
      =/  b  (~(dif fo 4) 0 (met 3 a))
      (cold (reap b %0) (easy ~))
    ==
  --
::
++  en-base64url                                        :: padding omitted
  ~(en base64 | &)                                      :: per rfc7515
::
++  de-base64url
  ~(de base64 | &)
::
++  asn1                                              ::  at least, a little
  =>  |%
      +=  spec
        $%  [%int p=@u]
            [%oct p=@ux]
            [%nul ~]
            [%obj p=@ux]
            [%seq p=(list spec)]
        ==
      ::
      ++  obj                                         ::  constants (rfc4055)
        |%                                            ::
        ++  sha-256  0x1.0204.0365.0148.8660          :: 2.16.840.1.101.3.4.2.1
        --
      --
  ::
  |_  pec=spec
  ++  ren                                             ::  bytes
    ^-  (list @)
    =/  a  lem
    [tag (weld (len a) a)]
  ::
  ++  tag                                             ::  type tag
    ^-  @
    ?-  pec
      [%int *]   2
      [%oct *]   4
      [%nul *]   5
      [%obj *]   6
      [%seq *]  48    :: (con 0x20 16)
    ==
  ::
  ++  lem                                             ::  element bytes
    ^-  (list @)
    ?-  pec
      [%int *]  =/  a  (flop (rip 3 p.pec))     :: XX unsigned only!
                ?~  a  [0 ~]
                ?:((lte i.a 127) a [0 a])
      ::
      [%oct *]  (rip 3 p.pec)
      [%nul *]  ~
      [%obj *]  (rip 3 p.pec)
      ::
      [%seq *]  %-  zing
                |-  ^-  (list (list @))
                ?~  p.pec  ~
                :-  ren:.(pec i.p.pec)
                $(p.pec t.p.pec)
    ==
  ::
  ++  len                                             ::  length bytes
    |=  a=(list @)
    ^-  (list @)
    =/  b  (lent a)
    ?:  (lte b 127)
      [b ~]
    [(con 0x80 (met 3 b)) (flop (rip 3 b))]
  ::
  ++  decode
    %+  cook  |*(a=* `spec:asn1`a)
    ;~  pose
      %+  stag  %int
      %+  bass  256
      %+  sear
        |=  a=(list @)
        ^-  (unit (list @))
        ?~  a  ~
        ?:  ?=([@ ~] a)  `a
        ?.  =(0 i.a)  `a
        ?.((gth i.t.a 127) ~ `t.a)
      ;~(pfix (just `@`2) till)
      ::
      (stag %oct (boss 256 ;~(pfix (just `@`4) till)))
      (stag %nul (cold ~ ;~(plug (just `@`5) (just `@`0))))
      (stag %obj (boss 256 ;~(pfix (just `@`6) till)))
      ::
      %+  stag  %seq
      %+  sear
        |=(a=(list @) (rust a (star decode))) :: XX plus? curr?
      ;~(pfix (just `@`48) till)
    ==
  ::
  ++  till                                                ::  len-prefixed bytes
    |=  tub/nail
    ^-  (like (list @D))
    ?~  q.tub
      (fail tub)
    =*  fuz  i.q.tub
    =+  ^-  [nex=@ len=@]
      =/  faz  (end 0 7 fuz)
      ?:  =(0 (cut 0 [7 1] fuz))
        [0 faz]
      [faz (rep 3 (flop (scag faz t.q.tub)))]
    ?:  ?&  !=(0 nex)
            !=(nex (met 3 len))
        ==
      (fail tub)
    =/  zuf  (swag [nex len] t.q.tub)
    ?.  =(len (lent zuf))
      (fail tub)
    =/  zaf  [p.p.tub (add +(nex) q.p.tub)]
    [zaf `[zuf zaf (slag (add nex len) t.q.tub)]]
  --
::
++  rsa                                                 ::  unpadded!
  |%
  +=  key  [p=@ux q=@ux n=@ux e=@ux d=@ux]
  ++  elcm
    |=  [a=@ b=@]
    (div (mul a b) d:(egcd a b))
  ::
  ++  new-key
    =/  e  `@ux`65.537
    |=  [wid=@ eny=@]
    ^-  key
    =/  diw  (rsh 0 1 wid)
    =/  p=@ux  (ramp:number diw [3 5 ~] eny)
    =/  q=@ux  (ramp:number diw [3 5 ~] +(eny))
    =/  n=@ux  (mul p q)
    =/  d=@ux  (~(inv fo (elcm (dec p) (dec q))) e)
    [p q n e d]
  ::
  ++  der                                             ::  pkcs1
    |%
    ++  en
      |%
      ++  pass  !!
      ++  ring
        |=  k=key
        ^-  @ux
        =;  pec
          (rep 3 ~(ren asn1 pec))
        :~  %seq
            [%int 0]
            [%int n.k]
            [%int e.k]
            [%int d.k]
            [%int p.k]
            [%int q.k]
            [%int (mod d.k (dec p.k))]
            [%int (mod d.k (dec q.k))]
            [%int (~(inv fo p.k) q.k)]
        ==
      --
    ++  de
      |%
      ++  pass  !!
      ++  ring
        |=  a=@
        ^-  (unit key)
        =/  b  (rush a decode:asn1)
        ?~  b  ~
        ?.  ?=([%seq *] u.b)  ~
        ?.  ?=  $:  [%int %0]
                    [%int *]
                    [%int *]
                    [%int *]
                    [%int *]
                    [%int *]
                    *
                ==
            p.u.b
          ~
        =*  n  p.i.t.p.u.b
        =*  e  p.i.t.t.p.u.b
        =*  d  p.i.t.t.t.p.u.b
        =*  p  p.i.t.t.t.t.p.u.b
        =*  q  p.i.t.t.t.t.t.p.u.b
        `[p q n e d]
      --
    --
  ::
  ++  pem                                             ::  pkcs1
    |%
    ++  en
      |%
      ++  pass  !!
      ++  ring
        |=  k=key
        ^-  wain
        :-  '-----BEGIN RSA PRIVATE KEY-----'
        =/  a  (en:base64 (ring:en:der k))
        |-  ^-  wain
        ?~  a
          ['-----END RSA PRIVATE KEY-----' ~]
        [(end 3 64 a) $(a (rsh 3 64 a))]
      --
    ++  de
      |%
      ++  pass  !!
      ++  ring
        |=  mep=wain
        ^-  (unit key)
        =/  a  (sub (lent mep) 2)
        ?~  mep  ~
        ?.  =('-----BEGIN RSA PRIVATE KEY-----' i.mep)  ~
        ?.  =('-----END RSA PRIVATE KEY-----' (snag a t.mep))  ~
        =/  b  (de:base64 (rap 3 (scag a t.mep)))
        ?~  b  ~
        (ring:de:der u.b)
      --
    --
  ::
  ++  en
    |=  [m=@ k=key]
    ~|  %rsa-len
    ?>  (lte (met 0 m) (met 0 n.k))
    (~(exp fo n.k) e.k m)
  ::
  ++  de
    |=  [m=@ k=key]
    :: XX assert rsa-len here too?
    =/  fu  (fu:number p.k q.k)
    (out.fu (exp.fu d.k (sit.fu m)))
  --
::
++  rs256
  |_  k=key:rsa
  ++  emsa        :: EMSA-PKCS1-v1_5
    |=  m=@
    =/  emlen  (met 3 n.k)
    =/  pec=spec:asn1
      :~  %seq
          [%seq [%obj sha-256:obj:asn1] [%nul ~] ~]
          [%oct (shax m)]
      ==
    =/  t=(list @)  ~(ren asn1 pec)
    =/  tlen  (lent t)
    ?:  (lth emlen (add 11 tlen))
      ~|(%emsa-too-short !!)
    =/  ps  (reap (sub emlen (add 3 tlen)) 0xff)
    %+  rep  3
    (flop (weld [0x0 0x1 ps] [0x0 t]))
  ::
  ++  sign  |=(m=@ (de:rsa (emsa m) k))
  ::
  ++  verify
    |=  [s=@ m=@]
    =((emsa m) (en:rsa s k))
  --
::
++  en-json-sort                                      ::  print json
  |^  |=([sor=$-(^ ?) val=json] (apex val sor ""))
  ::                                                  ::  ++apex:en-json:html
  ++  apex
    =,  en-json:html
    |=  {val/json sor/$-(^ ?) rez/tape}
    ^-  tape
    ?~  val  (weld "null" rez)
    ?-    -.val
        $a
      :-  '['
      =.  rez  [']' rez]
      !.
      ?~  p.val  rez
      |-
      ?~  t.p.val  ^$(val i.p.val)
      ^$(val i.p.val, rez [',' $(p.val t.p.val)])
   ::
        $b  (weld ?:(p.val "true" "false") rez)
        $n  (weld (trip p.val) rez)
        $s
      :-  '"'
      =.  rez  ['"' rez]
      =+  viz=(trip p.val)
      !.
      |-  ^-  tape
      ?~  viz  rez
      =+  hed=(jesc i.viz)
      ?:  ?=({@ $~} hed)
        [i.hed $(viz t.viz)]
      (weld hed $(viz t.viz))
   ::
        $o
      :-  '{'
      =.  rez  ['}' rez]
      =/  viz
        %+  sort  ~(tap by p.val)
        |=((pair) (sor (head p) (head q)))
      ?~  viz  rez
      !.
      |-  ^+  rez
      ?~  t.viz  ^$(val [%s p.i.viz], rez [':' ^$(val q.i.viz)])
      =.  rez  [',' $(viz t.viz)]
      ^$(val [%s p.i.viz], rez [':' ^$(val q.i.viz)])
    ==
  --
::
++  jwk
  |%
  ++  en
    |%
    ++  pass
      |=  k=key:rsa
      ^-  json
      :-  %o  %-  my  :~
        kty+s+'RSA'
        n+s+(en-base64url (swp 3 n.k))
        e+s+(en-base64url (swp 3 e.k))
      ==
    ++  ring
      |=  k=key:rsa
      ^-  json
      :-  %o  %-  my  :~
        kty+s+'RSA'
        p+s+(en-base64url (swp 3 p.k))
        q+s+(en-base64url (swp 3 q.k))
        n+s+(en-base64url (swp 3 n.k))
        e+s+(en-base64url (swp 3 e.k))
        d+s+(en-base64url (swp 3 d.k))
      ==
    --
  ++  de
    |%
    ++  pass
      =,  dejs-soft:format
      %+  ci
        |=  [kty=@t n=(unit @) e=(unit @)]
        ^-  (unit [n=@ux e=@ux])  :: XX RSA pubkey model
        (both (bind n (cury swp 3)) (bind e (cury swp 3)))
      %-  ot  :~
        kty+(su (jest 'RSA'))
        n+(cu de-base64url so)
        e+(cu de-base64url so)
      ==
    ++  ring
      =,  dejs-soft:format
      %+  ci
        |=  $:  kty=@t
                p=(unit @)
                q=(unit @)
                n=(unit @)
                e=(unit @)
                d=(unit @)
            ==
        ^-  (unit key:rsa)
        ;:  both
          (bind p (cury swp 3))
          (bind q (cury swp 3))
          (bind n (cury swp 3))
          (bind e (cury swp 3))
          (bind d (cury swp 3))
        ==
      %-  ot  :~
        kty+(su (jest 'RSA'))
        p+(cu de-base64url so)
        q+(cu de-base64url so)
        n+(cu de-base64url so)
        e+(cu de-base64url so)
        d+(cu de-base64url so)
      ==
    --
  --
::
++  thumbprint
  |=  jon=json
  :: XX restrict keys to canonical set
  (en-base64url (shax `@`(crip `tape`(en-json-sort aor jon))))
::
++  eor                                               ::  explicit order
  |=  [com=$-([@ @] ?) lit=(list)]
  |=  [a=* b=*]
  ^-  ?
  (fall (bind (both (find ~[a] lit) (find ~[b] lit)) com) |)
::
++  from-json
  =,  dejs:format
  =/  json-purl  (su auri:de-purl:html)
  %-  ot
  :~  ['newAccount' json-purl]
      ['newNonce' json-purl]
      ['newOrder' json-purl]
      ['revokeCert' json-purl]
      ['keyChange' json-purl]
  ==
--
::
::::  acme state
::
|%
+=  move  [bone card]
+=  card  $%  [%hiss wire [~ ~] %httr %hiss hiss:eyre]
          ==
::
+=  nonce  @t
::
+=  directory                                           ::  ACME v2
  $:  reg/purl                                          ::  newAccount
      non/purl                                          ::  newNonce
      der/purl                                          ::  newOrder
      rev/purl                                          ::  revokeCert
      rek/purl                                          ::  keyChange
  ==
::
+=  state
  $:  dir=directory
      non=nonce
      kid=(unit @t)
      key=(unit key:rsa)
  ==
--
::
::::  acme app
::
=/  url=tape  "https://acme-staging-v02.api.letsencrypt.org/directory"
=/  bas=purl  (scan url auri:de-purl:html)
=|  mov=(list move)
|_  [bow=bowl:gall state]
::
++  this  .               :: XX #712
::
++  emit
  |=  car=card
  ~&  [%emit car]
  this(mov [[ost.bow car] mov])
::
++  abet
  [(flop mov) this(mov ~)]
::
++  jws-body
  |=  [url=purl bod=json]
  ^-  octs
  ?>  ?=(^ key)
  =*  enc  (corl en-base64url (corl crip (cury en-json-sort aor)))
  =/  payload=cord  (enc bod)
  =/  protect=cord
    %-  enc
    :-  %o  %-  my  :~
      alg+s+'RS256'
      nonce+s+non
      url+s+(crip (en-purl:html url))
      ?^  kid
        kid+s+u.kid
      jwk+(pass:en:jwk u.key)
    ==
  %-  (corl as-octt:mimes:html en-json:html)
  ^-  json
  :-  %o  %-  my  :~
    protected+s+protect
    payload+s+payload
    :+  %signature  %s
    %-  en-base64url
    %+  swp  3
    (~(sign rs256 u.key) (rap 3 ~[protect '.' payload]))
  == 
::  
++  request
  |=  [wir=wire url=purl bod=(unit json)]
  =/  lod
    ?~  bod
      [%get ~ ~]
    =/  hed  (my content-type+['application/jose+json' ~] ~)
    [%post hed `(jws-body url u.bod)]
  (emit [%hiss wir [~ ~] %httr %hiss url lod])
::
++  initialize
  =?  key  ?=(~ key)  `(new-key:rsa 2.048 eny.bow)
  (request /acme/init/(scot %p our.bow) bas ~)
::
++  nonce
  (request /acme/non/(scot %p our.bow) non.dir ~)
::
++  register
  %^  request  /acme/reg/(scot %p our.bow)
    reg.dir
  `[%o (my [['termsOfServiceAgreed' b+&] ~])]
::
++  authorize
  :+  request
    der.dir ::aut.dir
  ^-  json
  :-  %o  %-  my  :~
    resource+s+'new-authz'
    :-  %identifier
    :-  %o  %-  my  :~
      type+s+'dns'
      value+s+(crip (welp +:(scow %p our.bow) ".urbit.org"))
    ==
  ==
::
++  poke-noun
  |=  a=*
  ^-  (quip move _this)
  ?+  a  ~&  +<+.this
         [~ this]
    %init  abet:initialize
    %test  test
  ==
::
++  sigh-httr
  |=  [wir=wire rep=httr:eyre]
  ^-  (quip move _this)
  ~&  [wir rep]
  ?>  ?=([%acme ^] wir)
  ?.  ?=(%2 (div p.rep 100))
    ~&  %lack-of-success
    [~ +>]
  ?+  i.t.wir  !!
      %init
    =<  abet:nonce
    this(dir (from-json (need (de-json:html q:(need r.rep)))))
      ::
      %non
    =<  abet:register
    this(non q:(head (skim q.rep |=((pair @t @t) ?=(%replay-nonce p)))))
  ==
::
++  prep  _[~ this]
::
++  test
  =,  tester:tester
  =/  eny  eny.bow
    :: non-deterministic for now
    :: 0vhu.gp79o.hi7at.smp8u.g5hhr.u3rff.st8ms.q4dc2.hv5ls.tp5cp.10qds.
    ::      h9bpt.vlmm7.lh375.f6u9n.krqv8.5jcml.cujkr.v1uqv.cjhe5.nplta
  |^  =/  out=tang
          ;:  weld
            test-base64
            test-asn1
            test-rsakey
            test-rsa
            test-rsapem
            test-rs256
            test-jwk
            test-jws
          ==
      ?~(out abet ((slog out) abet))
  ::
  ++  test-base64
    ;:  weld
      %-  expect-eq  !>
        ['AQAB' (en-base64url 65.537)]
      %-  expect-eq  !>
        [65.537 (need (de-base64url 'AQAB'))]
      :: echo "hello" | base64
      %-  expect-eq  !>
        ['aGVsbG8K' (en:base64 'hello\0a')]
      %-  expect-eq  !>
        ['hello\0a' (need (de:base64 'aGVsbG8K'))]
      :: echo -n -e "\x01\x01\x02\x03" | base64
      %-  expect-eq  !>
        ['AQECAw==' (en:base64 (swp 3 0x101.0203))]
      %-  expect-eq  !>
        [0x302.0101 (need (de:base64 'AQECAw=='))]
    ==
  ::
  ++  test-asn1
    =/  nul=spec:asn1  [%nul ~]
    =/  int=spec:asn1  [%int 187]
    =/  obj=spec:asn1  [%obj sha-256:obj:asn1]
    =/  oct=spec:asn1  [%oct (shax 'hello\0a')]
    =/  seq=spec:asn1  [%seq [%seq obj nul ~] oct ~]
    ;:  weld
      %-  expect-eq  !>
        :-  [0x5 0x0 ~]
        ~(ren asn1 nul)
      %-  expect-eq  !>
        [nul (scan ~(ren asn1 nul) decode:asn1)]
      %-  expect-eq  !>
        :-  [0x2 0x2 0x0 0xbb ~]
        ~(ren asn1 int)
      %-  expect-eq  !>
        [int (scan ~(ren asn1 int) decode:asn1)]
      %-  expect-eq  !>
        :-  [0x6 0x9 0x60 0x86 0x48 0x1 0x65 0x3 0x4 0x2 0x1 ~]
        ~(ren asn1 obj)
      %-  expect-eq  !>
        [obj (scan ~(ren asn1 obj) decode:asn1)]
      %-  expect-eq  !>
        :-    0x420.5891.b5b5.22d5.df08.6d0f.f0b1.10fb.
          d9d2.1bb4.fc71.63af.34d0.8286.a2e8.46f6.be03
        `@ux`(swp 3 (rep 3 ~(ren asn1 oct)))
      %-  expect-eq  !>
        [oct (scan ~(ren asn1 oct) decode:asn1)]
      %-  expect-eq  !>
        :-  0x30.3130.0d06.0960.8648.0165.0304.0201.0500.0420.5891.b5b5.22d5.
            df08.6d0f.f0b1.10fb.d9d2.1bb4.fc71.63af.34d0.8286.a2e8.46f6.be03
        `@ux`(swp 3 (rep 3 ~(ren asn1 seq)))
      %-  expect-eq  !>
        [seq (scan ~(ren asn1 seq) decode:asn1)]
    ==
  ::
  ++  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 eny)
    ::
    =/  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)
      [p q n e d]
    ::
    |^  ^-  tang
        ;:  weld
            (check-primes k1)
            (check-primes k2)
        ==
    ++  check-primes
      =,  number
      |=  k=key:rsa
      %+  roll  primes
      |=  [p=@ a=tang]
      ?^  a  a
      ?:  =(0 (mod n.k p))
        :~  leaf+"{(scow %ux n.k)}"
            :-  %leaf
            %+  weld
              "n.key (prime? {(scow %f (pram n.k))})"
            " divisible by {(scow %ud p)}:"
        ==
      ?:  =(0 (mod p.k p))
        :~  leaf+"{(scow %ux p.k)}"
            :-  %leaf
            %+  weld
              "p.key (prime? {(scow %f (pram p.k))})"
            " divisible by {(scow %ud p)}:"
        ==
      ?:  =(0 (mod q.k p))
        :~  leaf+"{(scow %ux q.k)}"
            :-  %leaf
            %+  weld
              "q.key (prime? {(scow %f (pram q.k))})"
            " divisible by {(scow %ud p)}:"
        ==
      ~
    --
  ::
  ++  test-rsapem
    ::  ex from https://stackoverflow.com/a/19855935
    =/  k1=key:rsa  [`@ux`17 `@ux`11 `@ux`187 `@ux`7 `@ux`23]
    =/  kpem1=wain
      :~  '-----BEGIN RSA PRIVATE KEY-----'
          'MBwCAQACAgC7AgEHAgEXAgERAgELAgEHAgEDAgEO'
          '-----END RSA PRIVATE KEY-----'
      ==
    =/  k2=key:rsa
      :*  p=`@ux`4.140.273.707
          q=`@ux`3.922.198.019
          n=`@ux`16.238.973.331.713.186.433
          e=`@ux`65.537
          d=`@ux`3.298.243.342.098.580.397
      ==
    :: openssl genrsa -out private.pem 64
    =/  kpem2=wain
      :~  '-----BEGIN RSA PRIVATE KEY-----'
          'MEACAQACCQDhXGw1Gc5agQIDAQABAggtxbbYRJVDrQIFAPbHkCsCBQDpx/4DAgUA'
          '23X55QIFAIpPROsCBQC56nYF'
          '-----END RSA PRIVATE KEY-----'
      ==
    :: openssl genrsa -out private.pem 2048
    =/  kpem3=wain
      :~  '-----BEGIN RSA PRIVATE KEY-----'
          'MIIEowIBAAKCAQEA2jJp8dgAKy5cSzDE4D+aUbKZsQoMhIWI2IFlE+AO0GCBMig5'
          'qxx2IIAPVIcSi5fjOLtTHnuIZYw+s06qeb8QIKRvkZaIwnA3Lz5UUrxgh96sezdX'
          'CCSG7FndIFskcT+zG00JL+fPRdlPjt1Vg2b3kneo5aAKMIPyOTzcY590UTc+luQ3'
          'HhgSiNF3n5YQh24d3kS2YOUoSXQ13+YRljxNfBgXbV+C7/gO8mFxpkafhmgkIGNe'
          'WlqT9oAIRa+gOx13uPAg+Jb/8lPV9bGaFqGvxvBMp3xUASlzYHiDntcB5MiOPRW6'
          'BoIGI5qDFSYRZBky9crE7WAYgqtPtg21zvxwFwIDAQABAoIBAH0q7GGisj4TIziy'
          '6k1lzwXMuaO4iwO+gokIeU5UessIgTSfpK1G73CnZaPstDPF1r/lncHfxZfTQuij'
          'WOHsO7kt+x5+R0ebDd0ZGVA45fsrPrCUR2XRZmDRECuOfTJGA13G7F1B0kJUbfIb'
          'gAGYIK8x236WNyIrntk804SGpTgstCsZ51rK5GL6diZVQbeU806oP1Zhx/ye//NR'
          'mS5G0iil//H41pV5WGomOX0mq9/HYBZqCncqzLki6FFdmXykjz8snvXUR40S8B+a'
          '0F/LN+549PSe2dp9h0Hx4HCJOsL9CyCQimqqqE8KPQ4BUz8q3+Mhx1xEyaxIlNH9'
          'ECgo1CECgYEA+mi7vQRzstYJerbhCtaeFrOR/n8Dft7FyFN+5IV7H2omy6gf0zr1'
          'GWjmph5R0sMPgL8uVRGANUrkuZZuCr35iY6zQpdCFB4D9t+zbTvTmrxt2oVaE16/'
          'dIJ6b8cHzR2QrEh8uw5/rEKzWBCHNS8FvXHPvXvnacTZ5LZRK0ssshECgYEA3xGQ'
          'nDlmRwyVto/1DQMLnjIMazQ719qtCO/pf4BHeqcDYnIwYb5zLBj2nPV8D9pqM1pG'
          'OVuOgcC9IimrbHeeGwp1iSTH4AvxDIj6Iyrmbz2db3lGdHVk9xLvTiYzn2KK2sYx'
          'mFl3DRBFutFQ2YxddqHbE3Ds96Y/uRXhqj7I16cCgYEA1AVNwHM+i1OS3yZtUUH6'
          'xPnySWu9x/RTvpSDwnYKk8TLaHDH0Y//6y3Y7RqK6Utjmv1E+54/0d/B3imyrsG/'
          'wWrj+SQdPO9VJ/is8XZQapnU4cs7Q19b+AhqJq58un2n+1e81J0oGPC47X3BHZTc'
          '5VSyMpvwiqu0WmTMQT37cCECgYACMEbt8XY6bjotz13FIemERNNwXdPUe1XFR61P'
          'ze9lmavj1GD7JIY2wYvx4Eq2URtHo7QarfZI+Z4hbq065DWN6F1c2hqH7TYRPGrP'
          '24TlRIJ97H+vdtNlxS7J4oARKUNZgCZOa1pKq4UznwgfCkyEdHQUzb/VcjEf3MIZ'
          'DIKl8wKBgBrsIjiDvpkfnpmQ7fehEJIi+V4SGskLxFH3ZTvngFFoYry3dL5gQ6mF'
          'sDfrn4igIcEy6bMpJQ3lbwStyzcWZLMJgdI23FTlPXTEG7PclZSuxBpQpvg3MiVO'
          'zqVTrhnY+TemcScSx5O6f32aDfOUWWCzmw/gzvJxUYlJqjqd7dlT'
          '-----END RSA PRIVATE KEY-----'
      ==
    =/  k3=key:rsa
      (need (ring:de:pem:rsa kpem3))
    ;:  weld
      %-  expect-eq  !>
        [kpem1 (ring:en:pem:rsa k1)]
      %-  expect-eq  !>
        [k1 (need (ring:de:pem:rsa kpem1))]
      %-  expect-eq  !>
        [kpem2 (ring:en:pem:rsa k2)]
      %-  expect-eq  !>
        [k2 (need (ring:de:pem:rsa kpem2))]
      %-  expect-eq  !>
        [kpem3 (ring:en:pem:rsa k3)]
    ==
  ::
  ++  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)
      [p q n e d]
    ::
    =/  k2=key:rsa  [`@ux`11 `@ux`13 `@ux`143 `@ux`7 `@ux`103]
    ::
    :: 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`p `@ux`q `@ux`n `@ux`e `@ux`d]
    =/  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
    ::
    ;:  weld
      %-  expect-eq  !>
        [413 d.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)]
    ==
  ::
  ++  test-rs256
    ::  ex from https://stackoverflow.com/a/41448118
    =/  k1=key:rsa
      :*  0xf7ef.37e6.7fa6.685a.c178.8b01.cf38.da20.ca4b.de5d.8b01.a71b.d28c.
            65b4.09c3.6e4d
          0xc882.5760.3fb8.a5e2.5e9d.db55.3a73.b647.a3ec.a6e9.abc6.c440.dbc7.
            05f8.2ed4.da6b
          0xc231.1fc5.fa31.d333.a409.bb4c.e95b.20d2.1cfc.e375.3871.7256.53a2.
            8425.af6d.e97d.f202.0b23.633f.458d.f12a.6362.7121.bff4.e23c.e578.
            7e07.7898.0578.61d1.ae60.ac2f
          0x1.0001
           0xd91.6719.eb10.3e24.768a.a386.8d2b.6bd0.a26b.dcec.9cc3.f86c.25ad.
            ce33.dfdc.fb1a.4d50.3e07.3d7f.f5fd.748e.43f8.df02.a60e.d730.5314.
            3e59.1e70.8df7.2c27.93e2.2b69
      ==
    =/  inp1  0x302.0101
    =/  exp1
      0x575c.8a41.09ed.6ea2.a708.6338.d150.a5bb.8205.142e.7785.47b5.0cc6.0198.
        6807.0243.bf49.de7c.6039.0160.e392.faca.18f4.a05d.3a7a.88a4.de86.dd99.
        f030.eb4a.a755.d7ce
    =/  emsa1
      0x1.ffff.ffff.ffff.ffff.ffff.0030.3130.0d06.0960.8648.0165.0304.0201.0500.
          0420.9184.abd2.bb31.8731.d717.e972.0572.40ea.e26c.ca20.2a8d.35db.e9d2.
          176f.5268.86a0
    =/  kpem2=wain
      :~  '-----BEGIN RSA PRIVATE KEY-----'
          'MIIEowIBAAKCAQEA2jJp8dgAKy5cSzDE4D+aUbKZsQoMhIWI2IFlE+AO0GCBMig5'
          'qxx2IIAPVIcSi5fjOLtTHnuIZYw+s06qeb8QIKRvkZaIwnA3Lz5UUrxgh96sezdX'
          'CCSG7FndIFskcT+zG00JL+fPRdlPjt1Vg2b3kneo5aAKMIPyOTzcY590UTc+luQ3'
          'HhgSiNF3n5YQh24d3kS2YOUoSXQ13+YRljxNfBgXbV+C7/gO8mFxpkafhmgkIGNe'
          'WlqT9oAIRa+gOx13uPAg+Jb/8lPV9bGaFqGvxvBMp3xUASlzYHiDntcB5MiOPRW6'
          'BoIGI5qDFSYRZBky9crE7WAYgqtPtg21zvxwFwIDAQABAoIBAH0q7GGisj4TIziy'
          '6k1lzwXMuaO4iwO+gokIeU5UessIgTSfpK1G73CnZaPstDPF1r/lncHfxZfTQuij'
          'WOHsO7kt+x5+R0ebDd0ZGVA45fsrPrCUR2XRZmDRECuOfTJGA13G7F1B0kJUbfIb'
          'gAGYIK8x236WNyIrntk804SGpTgstCsZ51rK5GL6diZVQbeU806oP1Zhx/ye//NR'
          'mS5G0iil//H41pV5WGomOX0mq9/HYBZqCncqzLki6FFdmXykjz8snvXUR40S8B+a'
          '0F/LN+549PSe2dp9h0Hx4HCJOsL9CyCQimqqqE8KPQ4BUz8q3+Mhx1xEyaxIlNH9'
          'ECgo1CECgYEA+mi7vQRzstYJerbhCtaeFrOR/n8Dft7FyFN+5IV7H2omy6gf0zr1'
          'GWjmph5R0sMPgL8uVRGANUrkuZZuCr35iY6zQpdCFB4D9t+zbTvTmrxt2oVaE16/'
          'dIJ6b8cHzR2QrEh8uw5/rEKzWBCHNS8FvXHPvXvnacTZ5LZRK0ssshECgYEA3xGQ'
          'nDlmRwyVto/1DQMLnjIMazQ719qtCO/pf4BHeqcDYnIwYb5zLBj2nPV8D9pqM1pG'
          'OVuOgcC9IimrbHeeGwp1iSTH4AvxDIj6Iyrmbz2db3lGdHVk9xLvTiYzn2KK2sYx'
          'mFl3DRBFutFQ2YxddqHbE3Ds96Y/uRXhqj7I16cCgYEA1AVNwHM+i1OS3yZtUUH6'
          'xPnySWu9x/RTvpSDwnYKk8TLaHDH0Y//6y3Y7RqK6Utjmv1E+54/0d/B3imyrsG/'
          'wWrj+SQdPO9VJ/is8XZQapnU4cs7Q19b+AhqJq58un2n+1e81J0oGPC47X3BHZTc'
          '5VSyMpvwiqu0WmTMQT37cCECgYACMEbt8XY6bjotz13FIemERNNwXdPUe1XFR61P'
          'ze9lmavj1GD7JIY2wYvx4Eq2URtHo7QarfZI+Z4hbq065DWN6F1c2hqH7TYRPGrP'
          '24TlRIJ97H+vdtNlxS7J4oARKUNZgCZOa1pKq4UznwgfCkyEdHQUzb/VcjEf3MIZ'
          'DIKl8wKBgBrsIjiDvpkfnpmQ7fehEJIi+V4SGskLxFH3ZTvngFFoYry3dL5gQ6mF'
          'sDfrn4igIcEy6bMpJQ3lbwStyzcWZLMJgdI23FTlPXTEG7PclZSuxBpQpvg3MiVO'
          'zqVTrhnY+TemcScSx5O6f32aDfOUWWCzmw/gzvJxUYlJqjqd7dlT'
          '-----END RSA PRIVATE KEY-----'
      ==
    =/  k2=key:rsa
      (need (ring:de:pem:rsa kpem2))
    =/  inp2=cord  'hello\0a'
    =/  exp2=@ux
      0x2920.bba3.cb38.bca6.3768.6345.c95e.0717.81bf.6c61.4006.6070.a7b5.e609.
        f3b4.7f48.878b.d1f8.1882.8852.1db6.b6b5.a5fd.c23b.e764.b910.5a3f.fda9.
        9d3a.e8bd.060a.ac06.58f1.487a.b50d.dee2.e161.0b74.4d3b.e6e3.7004.c721.
        4f32.5c95.ce68.a008.b1e9.788b.375f.d389.0fa4.4012.c07a.8319.a183.02d5.
        e2b8.10df.6ff7.f64a.6b85.3c7d.de80.19cf.ab6d.e588.40cb.0ea4.c436.8d8b.
        47f7.cce6.b9bf.097d.3275.c128.147a.628d.2b7c.3912.3950.ef68.87b2.180d.
        ba01.3b05.285d.3dfd.09ee.2f38.3111.9e4c.92c6.bf66.a91b.5762.3cdf.f8b7.
        8281.81a2.8324.5330.43c1.035a.56c3.71b8.eb85.e660.c3a4.28b4.8af7.c16f.
        7d7d.87cc.036d.aeb2.c757.30f5.f194.c90d.6bb4.5e5c.f95f.8e28.0fbc.5fb4.
        b21a.e6fe
    =/  exp2b64=cord
      %+  rap  3
      :~  'KSC7o8s4vKY3aGNFyV4HF4G/bGFABmBwp7XmCfO0f0iHi9H4GIKIUh22trWl/cI752S5'
          'EFo//amdOui9BgqsBljxSHq1Dd7i4WELdE075uNwBMchTzJclc5ooAix6XiLN1/TiQ+k'
          'QBLAeoMZoYMC1eK4EN9v9/ZKa4U8fd6AGc+rbeWIQMsOpMQ2jYtH98zmub8JfTJ1wSgU'
          'emKNK3w5EjlQ72iHshgNugE7BShdPf0J7i84MRGeTJLGv2apG1diPN/4t4KBgaKDJFMw'
          'Q8EDWlbDcbjrheZgw6QotIr3wW99fYfMA22ussdXMPXxlMkNa7ReXPlfjigPvF+0shrm'
          '/g=='
      ==
    =/  sig=@ux  (~(sign rs256 k2) inp2)
    ;:  weld
      %-  expect-eq  !>
        [exp1 (~(sign rs256 k1) inp1)]
      %-  expect-eq  !>
        [& (~(verify rs256 k1) exp1 inp1)]
      %-  expect-eq  !>
        [emsa1 `@ux`(~(emsa rs256 k1) inp1)]
      %-  expect-eq  !>
        [& (~(verify rs256 k2) sig inp2)] 
      %-  expect-eq  !>
        [exp2 sig]
      :: save kpem2 to private.pem
      :: echo "hello" | openssl dgst -sha256 -sign private.pem | base64
      %-  expect-eq  !>
        [exp2b64 (en:base64 (swp 3 sig))]
    ==
  ::
  ++  test-jwk
    :: rfc7638 section 3.1
    =/  n
      :~  '0vx7agoebGcQSuuPiLJXZptN9nndrQmbXEps2'
          'aiAFbWhM78LhWx4cbbfAAtVT86zwu1RK7aPFFxuhDR1L6tSoc_BJECPebWKRXjBZCi'
          'FV4n3oknjhMstn64tZ_2W-5JsGY4Hc5n9yBXArwl93lqt7_RN5w6Cf0h4QyQ5v-65Y'
          'GjQR0_FDW2QvzqY368QQMicAtaSqzs8KJZgnYb9c7d0zgdAZHzu6qMQvRL5hajrn1n'
          '91CbOpbISD08qNLyrdkt-bFTWhAI4vMQFh6WeZu0fM4lFd2NcRwr3XPksINHaQ-G_x'
          'BniIqbw0Ls1jF44-csFCur-kEgU8awapJzKnqDKgw'
      ==
    =/  jk=json
      :-  %o  %-  my  :~
        kty+s+'RSA'
        n+s+(rap 3 n)
        e+s+'AQAB'
      ==
    =/  k  (need (pass:de:jwk jk))
    ;:  weld
      %-  expect-eq  !>
        :-  jk
        (pass:en:jwk [0x0 0x0 n.k e.k 0x0])
      %-  expect-eq  !>
        :-  'NzbLsXh8uDCcd-6MNwXF4W_7noWXFZAfHkxZsRGC9Xs'
        (thumbprint jk)
    ==
  ::
  ++  test-jws
    ::  rfc7515 appendix 2
    ^-  wall
    =/  pt=@t
      %+  rap  3
      :~  '4BzEEOtIpmVdVEZNCqS7baC4crd0pqnRH_5IB3jw3bcxGn6QLvnEtfdUdi'
          'YrqBdss1l58BQ3KhooKeQTa9AB0Hw_Py5PJdTJNPY8cQn7ouZ2KKDcmnPG'
          'BY5t7yLc1QlQ5xHdwW1VhvKn-nXqhJTBgIPgtldC-KDV5z-y2XDwGUc'
      ==
    =/  qt=@t
      %+  rap  3
      :~  'uQPEfgmVtjL0Uyyx88GZFF1fOunH3-7cepKmtH4pxhtCoHqpWmT8YAmZxa'
          'ewHgHAjLYsp1ZSe7zFYHj7C6ul7TjeLQeZD_YwD66t62wDmpe_HlB-TnBA'
          '-njbglfIsRLtXlnDzQkv5dTltRJ11BKBBypeeF6689rjcJIDEz9RWdc'
      ==
    =/  nt=@t
      %+  rap  3
      :~  'ofgWCuLjybRlzo0tZWJjNiuSfb4p4fAkd_wWJcyQoTbji9k0l8W26mPddx'
          'HmfHQp-Vaw-4qPCJrcS2mJPMEzP1Pt0Bm4d4QlL-yRT-SFd2lZS-pCgNMs'
          'D1W_YpRPEwOWvG6b32690r2jZ47soMZo9wGzjb_7OMg0LOL-bSf63kpaSH'
          'SXndS5z5rexMdbBYUsLA9e-KXBdQOS-UTo7WTBEMa2R2CapHg665xsmtdV'
          'MTBQY4uDZlxvb3qCo5ZwKh9kG4LT6_I5IhlJH7aGhyxXFvUK-DWNmoudF8'
          'NAco9_h9iaGNj8q2ethFkMLs91kzk2PAcDTW9gb54h4FRWyuXpoQ'
       ==
    =/  dt=@t
      %+  rap  3
      :~  'Eq5xpGnNCivDflJsRQBXHx1hdR1k6Ulwe2JZD50LpXyWPEAeP88vLNO97I'
          'jlA7_GQ5sLKMgvfTeXZx9SE-7YwVol2NXOoAJe46sui395IW_GO-pWJ1O0'
          'BkTGoVEn2bKVRUCgu-GjBVaYLU6f3l9kJfFNS3E0QbVdxzubSu3Mkqzjkn'
          '439X0M_V51gfpRLI9JYanrC4D4qAdGcopV_0ZHHzQlBjudU2QvXt4ehNYT'
          'CBr6XCLQUShb1juUO1ZdiYoFaFQT5Tw8bGUl_x_jTj3ccPDVZFD9pIuhLh'
          'BOneufuBiB4cS98l2SR_RQyGWSeWjnczT0QU91p1DhOVRuOopznQ'
      ==
    =/  jk=json
      :-  %o  %-  my  :~
        kty+s+'RSA'
        n+s+nt
        e+s+'AQAB'
        d+s+dt
        p+s+pt
        q+s+qt
      ==
    =/  k=key:rsa  (need (ring:de:jwk jk))
    =/  hed=json  o+(my alg+s+'RS256' ~)
    =/  hedt=@t  'eyJhbGciOiJSUzI1NiJ9'
    =/  lod=json
      :-  %o  %-  my  :~
        iss+s+'joe'
        exp+n+'1300819380'
        ['http://example.com/is_root' %b &]
      ==
    =/  lodt=@t
      %+  rap  3
      :~  'eyJpc3MiOiJqb2UiLCJleHAiOjEzMDA4MTkzODAsImh0dHA'
          '6Ly9leGFtcGxlLmNvbS9pc19yb290Ijp0cnVlfQ'
      ==
    ::  rfc example includes whitespace in json serialization
    =/  lodt-ws=@t
      %+  rap  3
      :~  'eyJpc3MiOiJqb2UiLA0KICJleHAiOjEzMDA4MTkzODAsDQo'
          'gImh0dHA6Ly9leGFtcGxlLmNvbS9pc19yb290Ijp0cnVlfQ'
      ==
    =/  inp-ws=@t
      (rap 3 [hedt '.' lodt-ws ~])
    =/  exp-ws=@t
      %+  rap  3
      :~  'cC4hiUPoj9Eetdgtv3hF80EGrhuB__dzERat0XF9g2VtQgr9PJbu3XOiZj5RZmh7'
          'AAuHIm4Bh-0Qc_lF5YKt_O8W2Fp5jujGbds9uJdbF9CUAr7t1dnZcAcQjbKBYNX4'
          'BAynRFdiuB--f_nZLgrnbyTyWzO75vRK5h6xBArLIARNPvkSjtQBMHlb1L07Qe7K'
          '0GarZRmB_eSN9383LcOLn6_dO--xi12jzDwusC-eOkHWEsqtFZESc6BfI7noOPqv'
          'hJ1phCnvWh6IeYI2w9QOYEUipUTI8np6LbgGY9Fs98rqVt5AXLIhWkWywlVmtVrB'
          'p0igcN_IoypGlUPQGe77Rw'
      ==
    =/  lod-order=(list @t)  ['iss' 'exp' 'http://example.com/is_root' ~]
    ;:  weld
      %-  expect-eq  !>
        [jk (ring:en:jwk k)]
      %-  expect-eq  !>
        [n.k `@ux`(mul p.k q.k)]
      %-  expect-eq  !>
        [d.k `@ux`(~(inv fo (elcm:rsa (dec p.k) (dec q.k))) e.k)]
      %-  expect-eq  !>
        :-  hedt
        (en-base64url (crip (en-json-sort aor hed)))
      %-  expect-eq  !>
        :-  lodt
        (en-base64url (crip (en-json-sort (eor lte lod-order) lod)))
      %-  expect-eq  !>
        :-  exp-ws
        (en-base64url (swp 3 (~(sign rs256 k) inp-ws)))
    ==
  --
--