From c45235473a4c6b4afced546b01fce7c3615c8269 Mon Sep 17 00:00:00 2001 From: Adam Wick Date: Sat, 14 Apr 2018 07:05:57 -0700 Subject: [PATCH] Support modular inverses. --- src/cryptonum/gold_tests.rs | 13 + src/cryptonum/unsigned.rs | 29 +- tests/math/GenerateMathTests.hs | 8 +- tests/math/modinv.tests | 15000 ++++++++++++++++++++++++++++++ 4 files changed, 15033 insertions(+), 17 deletions(-) create mode 100644 tests/math/modinv.tests diff --git a/src/cryptonum/gold_tests.rs b/src/cryptonum/gold_tests.rs index 03ab206..add1dba 100644 --- a/src/cryptonum/gold_tests.rs +++ b/src/cryptonum/gold_tests.rs @@ -220,3 +220,16 @@ fn barrett_reduction_test() assert_eq!(&result, r); }); } + +#[test] +fn modular_inverse_test() +{ + run_test("tests/math/modinv.tests", 3, |scase| { + let case = make_unsigned(scase); + let a = case.get("x").unwrap(); + let m = case.get("y").unwrap(); + let r = case.get("z").unwrap(); + let result = a.modinv(m); + assert_eq!(r, &result); + }); +} diff --git a/src/cryptonum/unsigned.rs b/src/cryptonum/unsigned.rs index 29565a5..d64e000 100644 --- a/src/cryptonum/unsigned.rs +++ b/src/cryptonum/unsigned.rs @@ -130,23 +130,18 @@ impl UCN { } pub fn modinv(&self, phi: &UCN) -> UCN { - let (_, mut x, _) = self.extended_euclidean(&phi); - let int_phi = SCN::from(phi.clone()); - while x.is_negative() { - x = x + &int_phi; - } - x.into() - } + let x = SCN::from(self.clone()); + let y = SCN::from(phi.clone()); + let (d, a, _b) = x.egcd(y); - fn extended_euclidean(&self, b: &UCN) -> (SCN, SCN, SCN) { - let posinta = SCN::from(self.clone()); - let posintb = SCN::from(b.clone()); - let (d, x, y) = posinta.egcd(posintb); - - if d.is_negative() { - (d.neg(), x.neg(), y.neg()) + if d == SCN::from(1 as u8) { + if a.is_negative() { + (a + SCN::from(phi.clone())).value + } else { + a.value + } } else { - (d, x, y) + UCN::zero() } } @@ -1294,5 +1289,9 @@ mod test { let fast = a.fastmodexp(&b, &cu); slow == fast } + fn modinv(a: UCN, b: UCN) -> bool { + let i = a.modinv(&b); + i.is_zero() || ( ((a * i) % b) == UCN::from(1 as u64) ) + } } } diff --git a/tests/math/GenerateMathTests.hs b/tests/math/GenerateMathTests.hs index 83fff46..b1c1d32 100644 --- a/tests/math/GenerateMathTests.hs +++ b/tests/math/GenerateMathTests.hs @@ -137,7 +137,7 @@ main = in if m == 0 then (Nothing, (), g''') else (Just res, (), g''') - _ <- runGenerator g9 "barrett" () $ \ g () -> + g10<- runGenerator g9 "barrett" () $ \ g () -> let (m, g') = randomVal (>= 0) g (v, g'') = randomVal (>= 0) g' barrett = barrett_u m @@ -151,7 +151,7 @@ main = in if me /= standard then error "Barrett broken" else (Just res, (), g'') - _ <- runGenerator g9 "fastmodexp" () $ \ g () -> + g11<- runGenerator g10 "fastmodexp" () $ \ g () -> let (a, g') = randomVal (>= 0) g (b, g'') = randomVal (>= 0) g' (m, g''') = randomVal (>= 0) g' @@ -164,6 +164,10 @@ main = ("m", m), ("u", bu barrett), ("k", fromIntegral (bk barrett))] in (Just res, (), g''') + _ <- runGenerator g11 "modinv" Map.empty $ + buildBasicLimitingGenerator (>= 0) $ \ a b -> + let res == recipModInteger a b + if b == 0 then Nothing else Just (recipModInteger a b) return () -- Implement Barrett reduction using incredibly simplistic implementations, to diff --git a/tests/math/modinv.tests b/tests/math/modinv.tests new file mode 100644 index 0000000..b0768d2 --- /dev/null +++ b/tests/math/modinv.tests @@ -0,0 +1,15000 @@ +x: 639cea129b020768d20a35ad63453150 +y: 301474e3a1b06fa6830ce0f8d517d3aa7bd6bab70ffd8569 +z: 12d716c8d34ee52a3bc9cdb332355e6151ae7ca3dc1a22ee +x: 6d18cebf12d7bdf2 +y: 4e474662158b74443fb40bfae1af344ca8e9bb7c7bfa3dfc +z: 0 +x: 6a5ec433dfdd67bd +y: 4b5d72d0fad20cc3403442647f11eec9 +z: 2f935754d005c942a0909d918ab96c5d +x: 67a6e88771f493e151322de2409b79ed5ecd3efad65a8db863e599915d47802576c241ef5ae9c8511b6f33bca91776b5c5ffa22addcca0ee +y: 462d7c1c445b938c240d0633add41d29f33455a63737b6237703fa07888d2d3fff635edc3b2eae5f396d81eef184cb9 +z: 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