Update NSS to 3.35-RTM

security/nss/lib/freebl/verified/specs/Spec.Poly1305.fst

@@ -0,0 +1,107 @@
+/* Copyright 2016-2017 INRIA and Microsoft Corporation
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+module Spec.Poly1305
+
+module ST = FStar.HyperStack.ST
+
+open FStar.Math.Lib
+open FStar.Mul
+open FStar.Seq
+open FStar.UInt8
+open FStar.Endianness
+open Spec.Poly1305.Lemmas
+
+#set-options "--initial_fuel 0 --max_fuel 0 --initial_ifuel 0 --max_ifuel 0"
+
+(* Field types and parameters *)
+let prime = pow2 130 - 5
+type elem = e:int{e >= 0 /\ e < prime}
+let fadd (e1:elem) (e2:elem) = (e1 + e2) % prime
+let fmul (e1:elem) (e2:elem) = (e1 * e2) % prime
+let zero : elem = 0
+let one  : elem = 1
+let op_Plus_At = fadd
+let op_Star_At = fmul
+(* Type aliases *)
+let op_Amp_Bar = UInt.logand #128
+type word = w:bytes{length w <= 16}
+type word_16 = w:bytes{length w = 16}
+type tag = word_16
+type key = lbytes 32
+type text = seq word
+
+(* Specification code *)
+let encode (w:word) =
+  (pow2 (8 * length w)) `fadd` (little_endian w)
+
+let rec poly (txt:text) (r:e:elem) : Tot elem (decreases (length txt)) =
+  if length txt = 0 then zero
+  else
+    let a = poly (Seq.tail txt) r in
+    let n = encode (Seq.head txt) in
+    (n `fadd` a) `fmul` r
+
+let encode_r (rb:word_16) =
+  (little_endian rb) &| 0x0ffffffc0ffffffc0ffffffc0fffffff
+
+let finish (a:elem) (s:word_16) : Tot tag =
+  let n = (a + little_endian s) % pow2 128 in
+  little_bytes 16ul n
+
+let rec encode_bytes (txt:bytes) : Tot text (decreases (length txt)) =
+  if length txt = 0 then createEmpty
+  else
+    let w, txt = split txt (min (length txt) 16) in
+    append_last (encode_bytes txt) w
+
+let poly1305 (msg:bytes) (k:key) : Tot tag =
+  let text = encode_bytes msg in
+  let r = encode_r (slice k 0 16) in
+  let s = slice k 16 32 in
+  finish (poly text r) s
+
+
+(* ********************* *)
+(* RFC 7539 Test Vectors *)
+(* ********************* *)
+
+#reset-options "--initial_fuel 0 --max_fuel 0 --z3rlimit 20"
+
+unfold let msg = [
+  0x43uy; 0x72uy; 0x79uy; 0x70uy; 0x74uy; 0x6fuy; 0x67uy; 0x72uy;
+  0x61uy; 0x70uy; 0x68uy; 0x69uy; 0x63uy; 0x20uy; 0x46uy; 0x6fuy;
+  0x72uy; 0x75uy; 0x6duy; 0x20uy; 0x52uy; 0x65uy; 0x73uy; 0x65uy;
+  0x61uy; 0x72uy; 0x63uy; 0x68uy; 0x20uy; 0x47uy; 0x72uy; 0x6fuy;
+  0x75uy; 0x70uy ]
+
+unfold let k = [
+  0x85uy; 0xd6uy; 0xbeuy; 0x78uy; 0x57uy; 0x55uy; 0x6duy; 0x33uy;
+  0x7fuy; 0x44uy; 0x52uy; 0xfeuy; 0x42uy; 0xd5uy; 0x06uy; 0xa8uy;
+  0x01uy; 0x03uy; 0x80uy; 0x8auy; 0xfbuy; 0x0duy; 0xb2uy; 0xfduy;
+  0x4auy; 0xbfuy; 0xf6uy; 0xafuy; 0x41uy; 0x49uy; 0xf5uy; 0x1buy ]
+
+unfold let expected = [
+  0xa8uy; 0x06uy; 0x1duy; 0xc1uy; 0x30uy; 0x51uy; 0x36uy; 0xc6uy;
+  0xc2uy; 0x2buy; 0x8buy; 0xafuy; 0x0cuy; 0x01uy; 0x27uy; 0xa9uy ]
+
+let test () : Tot bool =
+  assert_norm(List.Tot.length msg      = 34);
+  assert_norm(List.Tot.length k        = 32);
+  assert_norm(List.Tot.length expected = 16);
+  let msg      = createL msg in
+  let k        = createL k   in
+  let expected = createL expected in
+  poly1305 msg k = expected