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6cbb6b060d
This reverts commit 8e1e40d75b3ab15c194b6bf9570f3edc46e2de58. This reverts commit f073c490f9fd7c5abc033af4857df92229877de7. This reverts commit f187d2d7e01a54823f3e979af9bbd148b398e7e9. This reverts commit bc272862a73cfce1b118586ca39d3a377d841f1b. This reverts commit 30a397513f8890a3406dc7ab91c6e067e3bbfbbb. This reverts commit 4fc6856fb50d88c20a0f533392ca606641c5f38f. Conflicts: urb/urbit.pill urb/zod/base/lib/drum.hoon
718 lines
19 KiB
Markdown
718 lines
19 KiB
Markdown
section 2eX, jetted crypto
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==========================
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------------------------------------------------------------------------
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<h3 id="++aesc"><code>++aesc</code></h3>
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++ aesc :: AES-256
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~% %aesc + ~
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|%
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XX document
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<h3 id="++en"><code>++en</code></h3>
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++ en :: ECB enc
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~/ %en
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|= [a=@I b=@H] ^- @uxH
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=+ ahem
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(be & (ex a) b)
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XX document
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<h3 id="++de"><code>++de</code></h3>
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++ de :: ECB dec
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~/ %de
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|= [a=@I b=@H] ^- @uxH
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=+ ahem
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(be | (ix (ex a)) b)
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--
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XX document
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<h3 id="++ahem"><code>++ahem</code></h3>
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++ ahem :: AES helpers
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:: XX should be in aesc, isn't for performance reasons
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=>
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=+ =+ [gr=(ga 8 0x11b 3) few==>(fe .(a 5))]
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=+ [pro=pro.gr dif=dif.gr pow=pow.gr ror=ror.few]
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[pro=pro dif=dif pow=pow ror=ror nnk=8 nnb=4 nnr=14]
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=> |%
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XX document
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<h3 id="++cipa"><code>++cipa</code></h3>
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++ cipa :: AES params
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$_ ^? |%
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XX document
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<h3 id="++co"><code>++co</code></h3>
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++ co [0xe 0xb 0xd 0x9]
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XX document
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<h3 id="++ix"><code>++ix</code></h3>
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++ ix :: key expand, inv
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|= a=@ ^- @
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=+ [i=1 j=_@ b=_@ c=co:pin]
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|-
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?: =(nnr i)
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a
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=> .(b (cut 7 [i 1] a))
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=> .(b (rep 5 (mcol (pode 5 4 b) c)))
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=> .(j (sub nnr i))
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%= $
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i +(i)
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a
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%+ can 7
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:~ [i (cut 7 [0 i] a)]
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[1 b]
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[j (cut 7 [+(i) j] a)]
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==
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==
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--
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::
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XX document
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<h3 id="++ro"><code>++ro</code></h3>
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++ ro [0 3 2 1]
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XX document
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<h3 id="++su"><code>++su</code></h3>
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++ su 0x7d0c.2155.6314.69e1.26d6.77ba.7e04.2b17.
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6199.5383.3cbb.ebc8.b0f5.2aae.4d3b.e0a0.
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ef9c.c993.9f7a.e52d.0d4a.b519.a97f.5160.
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5fec.8027.5910.12b1.31c7.0788.33a8.dd1f.
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f45a.cd78.fec0.db9a.2079.d2c6.4b3e.56fc.
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1bbe.18aa.0e62.b76f.89c5.291d.711a.f147.
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6edf.751c.e837.f9e2.8535.ade7.2274.ac96.
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73e6.b4f0.cecf.f297.eadc.674f.4111.913a.
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6b8a.1301.03bd.afc1.020f.3fca.8f1e.2cd0.
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0645.b3b8.0558.e4f7.0ad3.bc8c.00ab.d890.
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849d.8da7.5746.155e.dab9.edfd.5048.706c.
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92b6.655d.cc5c.a4d4.1698.6886.64f6.f872.
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25d1.8b6d.49a2.5b76.b224.d928.66a1.2e08.
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4ec3.fa42.0b95.4cee.3d23.c2a6.3294.7b54.
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cbe9.dec4.4443.8e34.87ff.2f9b.8239.e37c.
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fbd7.f381.9ea3.40bf.38a5.3630.d56a.0952
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--
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::
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XX document
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<h3 id="++pen"><code>++pen</code></h3>
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++ pen :: encrypt
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^- cipa
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|%
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XX document
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<h3 id="++co"><code>++co</code></h3>
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++ co [0xe 0xb 0xd 0x9]
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XX document
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<h3 id="++ix"><code>++ix</code></h3>
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++ ix :: key expand, inv
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|= a=@ ^- @
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=+ [i=1 j=_@ b=_@ c=co:pin]
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|-
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?: =(nnr i)
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a
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=> .(b (cut 7 [i 1] a))
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=> .(b (rep 5 (mcol (pode 5 4 b) c)))
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=> .(j (sub nnr i))
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%= $
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i +(i)
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a
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%+ can 7
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:~ [i (cut 7 [0 i] a)]
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[1 b]
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[j (cut 7 [+(i) j] a)]
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==
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==
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--
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::
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XX document
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<h3 id="++ro"><code>++ro</code></h3>
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++ ro [0 3 2 1]
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XX document
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<h3 id="++su"><code>++su</code></h3>
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++ su 0x7d0c.2155.6314.69e1.26d6.77ba.7e04.2b17.
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6199.5383.3cbb.ebc8.b0f5.2aae.4d3b.e0a0.
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ef9c.c993.9f7a.e52d.0d4a.b519.a97f.5160.
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5fec.8027.5910.12b1.31c7.0788.33a8.dd1f.
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f45a.cd78.fec0.db9a.2079.d2c6.4b3e.56fc.
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1bbe.18aa.0e62.b76f.89c5.291d.711a.f147.
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6edf.751c.e837.f9e2.8535.ade7.2274.ac96.
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73e6.b4f0.cecf.f297.eadc.674f.4111.913a.
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6b8a.1301.03bd.afc1.020f.3fca.8f1e.2cd0.
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0645.b3b8.0558.e4f7.0ad3.bc8c.00ab.d890.
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849d.8da7.5746.155e.dab9.edfd.5048.706c.
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92b6.655d.cc5c.a4d4.1698.6886.64f6.f872.
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25d1.8b6d.49a2.5b76.b224.d928.66a1.2e08.
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4ec3.fa42.0b95.4cee.3d23.c2a6.3294.7b54.
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cbe9.dec4.4443.8e34.87ff.2f9b.8239.e37c.
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fbd7.f381.9ea3.40bf.38a5.3630.d56a.0952
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--
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::
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XX document
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<h3 id="++pin"><code>++pin</code></h3>
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++ pin :: decrypt
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^- cipa
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|%
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XX document
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<h3 id="++co"><code>++co</code></h3>
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++ co [0xe 0xb 0xd 0x9]
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XX document
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<h3 id="++ix"><code>++ix</code></h3>
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++ ix :: key expand, inv
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|= a=@ ^- @
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=+ [i=1 j=_@ b=_@ c=co:pin]
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|-
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?: =(nnr i)
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a
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=> .(b (cut 7 [i 1] a))
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=> .(b (rep 5 (mcol (pode 5 4 b) c)))
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=> .(j (sub nnr i))
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%= $
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i +(i)
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a
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%+ can 7
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:~ [i (cut 7 [0 i] a)]
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[1 b]
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[j (cut 7 [+(i) j] a)]
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==
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==
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--
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::
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XX document
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<h3 id="++ro"><code>++ro</code></h3>
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++ ro [0 3 2 1]
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XX document
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<h3 id="++su"><code>++su</code></h3>
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++ su 0x7d0c.2155.6314.69e1.26d6.77ba.7e04.2b17.
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6199.5383.3cbb.ebc8.b0f5.2aae.4d3b.e0a0.
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ef9c.c993.9f7a.e52d.0d4a.b519.a97f.5160.
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5fec.8027.5910.12b1.31c7.0788.33a8.dd1f.
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f45a.cd78.fec0.db9a.2079.d2c6.4b3e.56fc.
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1bbe.18aa.0e62.b76f.89c5.291d.711a.f147.
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6edf.751c.e837.f9e2.8535.ade7.2274.ac96.
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73e6.b4f0.cecf.f297.eadc.674f.4111.913a.
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6b8a.1301.03bd.afc1.020f.3fca.8f1e.2cd0.
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0645.b3b8.0558.e4f7.0ad3.bc8c.00ab.d890.
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849d.8da7.5746.155e.dab9.edfd.5048.706c.
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92b6.655d.cc5c.a4d4.1698.6886.64f6.f872.
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25d1.8b6d.49a2.5b76.b224.d928.66a1.2e08.
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4ec3.fa42.0b95.4cee.3d23.c2a6.3294.7b54.
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cbe9.dec4.4443.8e34.87ff.2f9b.8239.e37c.
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fbd7.f381.9ea3.40bf.38a5.3630.d56a.0952
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--
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::
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XX document
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<h3 id="++mcol"><code>++mcol</code></h3>
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++ mcol
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|= [a=(list ,@) b=[p=@ q=@ r=@ s=@]] ^- (list ,@)
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=+ c=[p=_@ q=_@ r=_@ s=_@]
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|- ^- (list ,@)
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?~ a ~
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=> .(p.c (cut 3 [0 1] i.a))
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=> .(q.c (cut 3 [1 1] i.a))
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=> .(r.c (cut 3 [2 1] i.a))
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=> .(s.c (cut 3 [3 1] i.a))
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:_ $(a t.a)
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%+ rep 3
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%+ turn
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%- limo
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:~ [[p.c p.b] [q.c q.b] [r.c r.b] [s.c s.b]]
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[[p.c s.b] [q.c p.b] [r.c q.b] [s.c r.b]]
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[[p.c r.b] [q.c s.b] [r.c p.b] [s.c q.b]]
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[[p.c q.b] [q.c r.b] [r.c s.b] [s.c p.b]]
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==
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|= [a=[@ @] b=[@ @] c=[@ @] d=[@ @]]
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:(dif (pro a) (pro b) (pro c) (pro d))
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::
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XX document
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<h3 id="++pode"><code>++pode</code></h3>
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++ pode :: explode to block
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|= [a=bloq b=@ c=@] ^- (list ,@)
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=+ d=(rip a c)
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=+ m=(met a c)
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|-
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?: =(m b)
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d
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$(m +(m), d (weld d (limo [0 ~])))
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XX document
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<h3 id="++sube"><code>++sube</code></h3>
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++ sube :: s-box word
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|= [a=@ b=@] ^- @
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(rep 3 (turn (pode 3 4 a) |=(c=@ (cut 3 [c 1] b))))
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--
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|%
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XX document
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<h3 id="++be"><code>++be</code></h3>
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++ be :: block cipher
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|= [a=? b=@ c=@H] ^- @uxH
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~| %be-aesc
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=> %= .
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+
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=> +
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|%
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XX document
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<h3 id="++ankh"><code>++ankh</code></h3>
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++ ankh
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|= [a=cipa b=@ c=@]
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(pode 5 nnb (cut 5 [(mul (ix.a b) nnb) nnb] c))
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XX document
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<h3 id="++sark"><code>++sark</code></h3>
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++ sark
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|= [c=(list ,@) d=(list ,@)] ^- (list ,@)
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?~ c ~
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?~ d !!
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[(mix i.c i.d) $(c t.c, d t.d)]
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XX document
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<h3 id="++srow"><code>++srow</code></h3>
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++ srow
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|= [a=cipa b=(list ,@)] ^- (list ,@)
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=+ [c=0 d=~ e=ro.a]
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|-
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?: =(c nnb)
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d
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:_ $(c +(c))
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%+ rep 3
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%+ turn
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(limo [0 p.e] [1 q.e] [2 r.e] [3 s.e] ~)
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|= [f=@ g=@]
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(cut 3 [f 1] (snag (mod (add g c) nnb) b))
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XX document
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<h3 id="++subs"><code>++subs</code></h3>
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++ subs
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|= [a=cipa b=(list ,@)] ^- (list ,@)
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?~ b ~
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[(sube i.b su.a) $(b t.b)]
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--
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==
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=+ [d=?:(a pen pin) e=(pode 5 nnb c) f=1]
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=> .(e (sark e (ankh d 0 b)))
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|-
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?. =(nnr f)
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=> .(e (subs d e))
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=> .(e (srow d e))
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=> .(e (mcol e co.d))
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=> .(e (sark e (ankh d f b)))
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$(f +(f))
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=> .(e (subs d e))
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=> .(e (srow d e))
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=> .(e (sark e (ankh d nnr b)))
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(rep 5 e)
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XX document
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<h3 id="++ex"><code>++ex</code></h3>
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++ ex :: key expand
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|= a=@I ^- @
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=+ [b=a c=0 d=su:pen i=nnk]
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|-
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?: =(i (mul nnb +(nnr)))
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b
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=> .(c (cut 5 [(dec i) 1] b))
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=> ?: =(0 (mod i nnk))
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=> .(c (ror 3 1 c))
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=> .(c (sube c d))
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.(c (mix c (pow (dec (div i nnk)) 2)))
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?: &((gth nnk 6) =(4 (mod i nnk)))
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.(c (sube c d))
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.
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=> .(c (mix c (cut 5 [(sub i nnk) 1] b)))
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=> .(b (can 5 [i b] [1 c] ~))
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$(i +(i))
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XX document
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<h3 id="++ix"><code>++ix</code></h3>
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++ ix :: key expand, inv
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|= a=@ ^- @
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=+ [i=1 j=_@ b=_@ c=co:pin]
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|-
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?: =(nnr i)
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a
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=> .(b (cut 7 [i 1] a))
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=> .(b (rep 5 (mcol (pode 5 4 b) c)))
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=> .(j (sub nnr i))
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%= $
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i +(i)
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a
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%+ can 7
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:~ [i (cut 7 [0 i] a)]
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[1 b]
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[j (cut 7 [+(i) j] a)]
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==
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==
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--
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::
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XX document
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<h3 id="++curt"><code>++curt</code></h3>
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++ curt :: curve25519
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|= [a=@ b=@]
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=> %= .
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+
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=> +
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=+ =+ [p=486.662 q=(sub (bex 255) 19)]
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=+ fq=~(. fo q)
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[p=p q=q fq=fq]
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|%
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XX document
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<h3 id="++cla"><code>++cla</code></h3>
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++ cla
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|= raw=@
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=+ low=(dis 248 (cut 3 [0 1] raw))
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=+ hih=(con 64 (dis 127 (cut 3 [31 1] raw)))
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=+ mid=(cut 3 [1 30] raw)
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(can 3 [[1 low] [30 mid] [1 hih] ~])
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XX document
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<h3 id="++sqr"><code>++sqr</code></h3>
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++ sqr |=(a=@ (mul a a))
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XX document
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<h3 id="++inv"><code>++inv</code></h3>
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++ inv |=(a=@ (~(exp fo q) (sub q 2) a))
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XX document
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<h3 id="++cad"><code>++cad</code></h3>
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++ cad
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|= [n=[x=@ z=@] m=[x=@ z=@] d=[x=@ z=@]]
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=+ ^= xx
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;: mul 4 z.d
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%- sqr %- abs:si
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%+ dif:si
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(sun:si (mul x.m x.n))
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(sun:si (mul z.m z.n))
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==
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=+ ^= zz
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;: mul 4 x.d
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%- sqr %- abs:si
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%+ dif:si
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(sun:si (mul x.m z.n))
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(sun:si (mul z.m x.n))
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==
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[(sit.fq xx) (sit.fq zz)]
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|
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XX document
|
|
|
|
<h3 id="++cub"><code>++cub</code></h3>
|
|
|
|
++ cub
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|= [x=@ z=@]
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=+ ^= xx
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|
%+ mul
|
|
%- sqr %- abs:si
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|
(dif:si (sun:si x) (sun:si z))
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(sqr (add x z))
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=+ ^= zz
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;: mul 4 x z
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:(add (sqr x) :(mul p x z) (sqr z))
|
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==
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[(sit.fq xx) (sit.fq zz)]
|
|
--
|
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==
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=+ one=[b 1]
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=+ i=253
|
|
=+ r=one
|
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=+ s=(cub one)
|
|
|-
|
|
?: =(i 0)
|
|
=+ x=(cub r)
|
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(sit.fq (mul -.x (inv +.x)))
|
|
=+ m=(rsh 0 i a)
|
|
?: =(0 (mod m 2))
|
|
$(i (dec i), s (cad r s one), r (cub r))
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$(i (dec i), r (cad r s one), s (cub s))
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++ed"><code>++ed</code></h3>
|
|
|
|
++ ed :: 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)
|
|
[b=b q=q fq=fq l=l d=d ii=ii]
|
|
~% %coed +> ~
|
|
|%
|
|
|
|
<h3 id="++norm"><code>++norm</code></h3>
|
|
|
|
++ norm |=(x=@ ?:(=(0 (mod x 2)) x (sub q x)))
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++xrec"><code>++xrec</code></h3>
|
|
|
|
++ 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)
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++ward"><code>++ward</code></h3>
|
|
|
|
++ 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]
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++scam"><code>++scam</code></h3>
|
|
|
|
++ 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
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++etch"><code>++etch</code></h3>
|
|
|
|
++ etch :: encode point
|
|
|= pp=[@ @] ^- @
|
|
(can 0 ~[[(sub b 1) +.pp] [1 (dis 1 -.pp)]])
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++curv"><code>++curv</code></h3>
|
|
|
|
++ 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))
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++deco"><code>++deco</code></h3>
|
|
|
|
++ 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]
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++bb"><code>++bb</code></h3>
|
|
|
|
++ bb
|
|
=+ bby=(pro.fq 4 (inv.fq 5))
|
|
[(xrec bby) bby]
|
|
::
|
|
--
|
|
~% %ed + ~
|
|
|%
|
|
|
|
XX document
|
|
|
|
<h3 id="++puck"><code>++puck</code></h3>
|
|
|
|
++ puck :: public key
|
|
~/ %puck
|
|
|= sk=@I ^- @
|
|
?: (gth (met 3 sk) 32) !!
|
|
=+ 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)
|
|
|
|
XX document
|
|
|
|
<h3 id="++suck"><code>++suck</code></h3>
|
|
|
|
++ suck :: keypair from seed
|
|
|= se=@I ^- @uJ
|
|
=+ pu=(puck se)
|
|
(can 0 ~[[b se] [b pu]])
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++sign"><code>++sign</code></h3>
|
|
|
|
++ sign :: certify
|
|
~/ %sign
|
|
|= [m=@ se=@] ^- @
|
|
=+ sk=(suck se)
|
|
=+ pk=(cut 0 [b b] sk)
|
|
=+ 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]])
|
|
::
|
|
|
|
XX document
|
|
|
|
<h3 id="++veri"><code>++veri</code></h3>
|
|
|
|
++ veri :: validate
|
|
~/ %veri
|
|
|= [s=@ m=@ pk=@] ^- ?
|
|
?: (gth (div b 4) (met 3 s)) |
|
|
?: (gth (div b 8) (met 3 pk)) |
|
|
=+ cb=(rsh 0 3 b)
|
|
=+ rr=(deco (cut 0 [0 b] s))
|
|
?~ rr |
|
|
=+ aa=(deco pk)
|
|
?~ aa |
|
|
=+ ss=(cut 0 [b b] s)
|
|
=+ ha=(can 3 ~[[cb (etch u.rr)] [cb pk] [(met 3 m) m]])
|
|
=+ h=(shaz ha)
|
|
=((scam bb ss) (ward u.rr (scam u.aa h)))
|
|
::
|
|
--
|
|
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
|
|
|
|
XX document
|
|
|
|
------------------------------------------------------------------------
|