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| author |  Andres Erbsen <andreser@mit.edu> | 2017-04-06 22:53:07 -0400 |
|---|---|---|
| committer | Andres Erbsen <andreser@mit.edu> | 2017-04-06 22:53:07 -0400 |
| commit | c9fc5a3cdf1f5ea2d104c150c30d1b1a6ac64239 (patch) | |
| tree | db7187f6984acff324ca468e7b33d9285806a1eb /src/Spec/Test | |
| parent | 21198245dab432d3c0ba2bb8a02254e7d0594382 (diff) | |
rename-everything
Diffstat (limited to 'src/Spec/Test')
| -rw-r--r-- | src/Spec/Test/X25519.v | 22 |
1 files changed, 22 insertions, 0 deletions
diff --git a/src/Spec/Test/X25519.v b/src/Spec/Test/X25519.v new file mode 100644 index 000000000..15ca468c1 --- /dev/null +++ b/src/Spec/Test/X25519.v @@ -0,0 +1,22 @@ +(* Test vectors from <https://tools.ietf.org/html/rfc7748#section-5.2>, + with hex values converted to decimal using python like this: + > int.from_bytes(binascii.unhexlify('deadbeef'), 'little') *) +Require Import Spec.ModularArithmetic Spec.MxDH Crypto.Util.Decidable. +Definition F := F (2^255 - 19). +Definition a : F := F.of_Z _ 486662. +Definition a24 : F := ((a - F.of_Z _ 2) / F.of_Z _ 4)%F. +Definition cswap {T} (swap:bool) (a b:T) := if swap then (b, a) else (a, b). +Definition monty s : F -> F := @MxDH.montladder F F.zero F.one F.add F.sub F.mul F.inv a24 cswap 255 (BinNat.N.testbit_nat s). + +Example one_basepoint : F.to_Z (monty 1 (F.of_Z _ 9)) = 9%Z. +Proof. vm_decide_no_check. Qed. + +Example testvector_one : F.to_Z (monty + 31029842492115040904895560451863089656472772604678260265531221036453811406496%N + (F.of_Z _ 34426434033919594451155107781188821651316167215306631574996226621102155684838%Z)) = 37325765543539916631701301279660700968428932651319597985674090122993663859395%Z. +Proof. vm_decide_no_check. Qed. + +Example testvector_two : F.to_Z (monty + 35156891815674817266734212754503633747128614016119564763269015315466259359304%N + (F.of_Z _ 8883857351183929894090759386610649319417338800022198945255395922347792736741%Z)) = 39566196721700740701373067725336211924689549479508623342842086701180565506965%Z. +Proof. vm_decide_no_check. Qed.
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