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-rw-r--r--vendor/crypto-bigint/src/uint/modular/pow.rs79
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
+}