1 | // Copyright 2015-2023 Brian Smith. |
2 | // |
3 | // Permission to use, copy, modify, and/or distribute this software for any |
4 | // purpose with or without fee is hereby granted, provided that the above |
5 | // copyright notice and this permission notice appear in all copies. |
6 | // |
7 | // THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHORS DISCLAIM ALL WARRANTIES |
8 | // WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF |
9 | // MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY |
10 | // SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES |
11 | // WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION |
12 | // OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN |
13 | // CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. |
14 | |
15 | use super::{limb, BoxedLimbs, Limb, LimbMask, Modulus}; |
16 | use crate::error; |
17 | use alloc::boxed::Box; |
18 | |
19 | pub struct PrivateExponent { |
20 | limbs: Box<[Limb]>, |
21 | } |
22 | |
23 | impl PrivateExponent { |
24 | // `p` is the modulus for which the exponent is in the interval [1, `p` - 1). |
25 | pub fn from_be_bytes_padded<M>( |
26 | input: untrusted::Input, |
27 | p: &Modulus<M>, |
28 | ) -> Result<Self, error::Unspecified> { |
29 | let dP = BoxedLimbs::from_be_bytes_padded_less_than(input, p)?; |
30 | |
31 | // Proof that `dP < p - 1`: |
32 | // |
33 | // If `dP < p` then either `dP == p - 1` or `dP < p - 1`. Since `p` is |
34 | // odd, `p - 1` is even. `d` is odd, and an odd number modulo an even |
35 | // number is odd. Therefore `dP` must be odd. But then it cannot be |
36 | // `p - 1` and so we know `dP < p - 1`. |
37 | // |
38 | // Further we know `dP != 0` because `dP` is not even. |
39 | if limb::limbs_are_even_constant_time(&dP) != LimbMask::False { |
40 | return Err(error::Unspecified); |
41 | } |
42 | |
43 | Ok(Self { |
44 | limbs: dP.into_limbs(), |
45 | }) |
46 | } |
47 | |
48 | #[cfg (test)] |
49 | pub fn from_be_bytes_for_test_only<M>( |
50 | input: untrusted::Input, |
51 | p: &Modulus<M>, |
52 | ) -> Result<Self, error::Unspecified> { |
53 | // Do exactly what `from_be_bytes_padded` does for any inputs it accepts. |
54 | if let r @ Ok(_) = Self::from_be_bytes_padded(input, p) { |
55 | return r; |
56 | } |
57 | |
58 | let dP = BoxedLimbs::<M>::positive_minimal_width_from_be_bytes(input)?; |
59 | |
60 | Ok(Self { |
61 | limbs: dP.into_limbs(), |
62 | }) |
63 | } |
64 | |
65 | #[inline ] |
66 | pub(super) fn limbs(&self) -> &[Limb] { |
67 | &self.limbs |
68 | } |
69 | } |
70 | |