diff options
Diffstat (limited to 'vendor/crypto-bigint/src/uint/modular/pow.rs')
-rw-r--r-- | vendor/crypto-bigint/src/uint/modular/pow.rs | 79 |
1 files changed, 79 insertions, 0 deletions
diff --git a/vendor/crypto-bigint/src/uint/modular/pow.rs b/vendor/crypto-bigint/src/uint/modular/pow.rs new file mode 100644 index 000000000..5ab1fd63d --- /dev/null +++ b/vendor/crypto-bigint/src/uint/modular/pow.rs @@ -0,0 +1,79 @@ +use crate::{Limb, Uint, Word}; + +use super::mul::{mul_montgomery_form, square_montgomery_form}; + +/// Performs modular exponentiation using Montgomery's ladder. +/// `exponent_bits` represents the number of bits to take into account for the exponent. +/// +/// NOTE: this value is leaked in the time pattern. +pub const fn pow_montgomery_form<const LIMBS: usize>( + x: &Uint<LIMBS>, + exponent: &Uint<LIMBS>, + exponent_bits: usize, + modulus: &Uint<LIMBS>, + r: &Uint<LIMBS>, + mod_neg_inv: Limb, +) -> Uint<LIMBS> { + if exponent_bits == 0 { + return *r; // 1 in Montgomery form + } + + const WINDOW: usize = 4; + const WINDOW_MASK: Word = (1 << WINDOW) - 1; + + // powers[i] contains x^i + let mut powers = [*r; 1 << WINDOW]; + powers[1] = *x; + let mut i = 2; + while i < powers.len() { + powers[i] = mul_montgomery_form(&powers[i - 1], x, modulus, mod_neg_inv); + i += 1; + } + + let starting_limb = (exponent_bits - 1) / Limb::BITS; + let starting_bit_in_limb = (exponent_bits - 1) % Limb::BITS; + let starting_window = starting_bit_in_limb / WINDOW; + let starting_window_mask = (1 << (starting_bit_in_limb % WINDOW + 1)) - 1; + + let mut z = *r; // 1 in Montgomery form + + let mut limb_num = starting_limb + 1; + while limb_num > 0 { + limb_num -= 1; + let w = exponent.as_limbs()[limb_num].0; + + let mut window_num = if limb_num == starting_limb { + starting_window + 1 + } else { + Limb::BITS / WINDOW + }; + while window_num > 0 { + window_num -= 1; + + let mut idx = (w >> (window_num * WINDOW)) & WINDOW_MASK; + + if limb_num == starting_limb && window_num == starting_window { + idx &= starting_window_mask; + } else { + let mut i = 0; + while i < WINDOW { + i += 1; + z = square_montgomery_form(&z, modulus, mod_neg_inv); + } + } + + // Constant-time lookup in the array of powers + let mut power = powers[0]; + let mut i = 1; + while i < 1 << WINDOW { + let choice = Limb::ct_eq(Limb(i as Word), Limb(idx)); + power = Uint::<LIMBS>::ct_select(&power, &powers[i], choice); + i += 1; + } + + z = mul_montgomery_form(&z, &power, modulus, mod_neg_inv); + } + } + + z +} |