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17 changes: 11 additions & 6 deletions src/uint/add.rs
Original file line number Diff line number Diff line change
Expand Up @@ -24,12 +24,7 @@ impl<const LIMBS: usize> Uint<LIMBS> {
/// Perform saturating addition, returning `MAX` on overflow.
pub const fn saturating_add(&self, rhs: &Self) -> Self {
let (res, overflow) = self.adc(rhs, Limb::ZERO);

if overflow.0 == 0 {
res
} else {
Self::MAX
}
Self::ct_select(&res, &Self::MAX, CtChoice::from_lsb(overflow.0))
}

/// Perform wrapping addition, discarding overflow.
Expand Down Expand Up @@ -177,6 +172,16 @@ mod tests {
assert_eq!(carry, Limb::ONE);
}

#[test]
fn saturating_add_no_carry() {
assert_eq!(U128::ZERO.saturating_add(&U128::ONE), U128::ONE);
}

#[test]
fn saturating_add_with_carry() {
assert_eq!(U128::MAX.saturating_add(&U128::ONE), U128::MAX);
}

#[test]
fn wrapping_add_no_carry() {
assert_eq!(U128::ZERO.wrapping_add(&U128::ONE), U128::ONE);
Expand Down
10 changes: 6 additions & 4 deletions src/uint/rand.rs
Original file line number Diff line number Diff line change
Expand Up @@ -63,15 +63,17 @@ mod tests {
let modulus = NonZero::new(U256::from(42u8)).unwrap();
let res = U256::random_mod(&mut rng, &modulus);

// Sanity check that the return value isn't zero
assert_ne!(res, U256::ZERO);
// Check that the value is in range
assert!(res >= U256::ZERO);
assert!(res < U256::from(42u8));

// Ensure `random_mod` runs in a reasonable amount of time
// when the modulus is larger than 1 limb
let modulus = NonZero::new(U256::from(0x10000000000000001u128)).unwrap();
let res = U256::random_mod(&mut rng, &modulus);

// Sanity check that the return value isn't zero
assert_ne!(res, U256::ZERO);
// Check that the value is in range
assert!(res >= U256::ZERO);
assert!(res < U256::from(0x10000000000000001u128));
}
}
77 changes: 55 additions & 22 deletions src/uint/sqrt.rs
Original file line number Diff line number Diff line change
Expand Up @@ -5,11 +5,20 @@ use crate::{Limb, Word};
use subtle::{ConstantTimeEq, CtOption};

impl<const LIMBS: usize> Uint<LIMBS> {
/// See [`Self::sqrt_vartime`].
#[deprecated(
since = "0.5.3",
note = "This functionality will be moved to `sqrt_vartime` in a future release."
)]
pub const fn sqrt(&self) -> Self {
self.sqrt_vartime()
}

/// Computes √(`self`)
/// Uses Brent & Zimmermann, Modern Computer Arithmetic, v0.5.9, Algorithm 1.13
///
/// Callers can check if `self` is a square by squaring the result
pub const fn sqrt(&self) -> Self {
pub const fn sqrt_vartime(&self) -> Self {
let max_bits = (self.bits_vartime() + 1) >> 1;
let cap = Self::ONE.shl_vartime(max_bits);
let mut guess = cap; // ≥ √(`self`)
Expand Down Expand Up @@ -47,17 +56,35 @@ impl<const LIMBS: usize> Uint<LIMBS> {
Self::ct_select(&Self::ZERO, &guess, self.ct_is_nonzero())
}

/// See [`Self::wrapping_sqrt_vartime`].
#[deprecated(
since = "0.5.3",
note = "This functionality will be moved to `wrapping_sqrt_vartime` in a future release."
)]
pub const fn wrapping_sqrt(&self) -> Self {
self.wrapping_sqrt_vartime()
}

/// Wrapped sqrt is just normal √(`self`)
/// There’s no way wrapping could ever happen.
/// This function exists, so that all operations are accounted for in the wrapping operations.
pub const fn wrapping_sqrt(&self) -> Self {
self.sqrt()
pub const fn wrapping_sqrt_vartime(&self) -> Self {
self.sqrt_vartime()
}

/// See [`Self::checked_sqrt_vartime`].
#[deprecated(
since = "0.5.3",
note = "This functionality will be moved to `checked_sqrt_vartime` in a future release."
)]
pub fn checked_sqrt(&self) -> CtOption<Self> {
self.checked_sqrt_vartime()
}

/// Perform checked sqrt, returning a [`CtOption`] which `is_some`
/// only if the √(`self`)² == self
pub fn checked_sqrt(&self) -> CtOption<Self> {
let r = self.sqrt();
pub fn checked_sqrt_vartime(&self) -> CtOption<Self> {
let r = self.sqrt_vartime();
let s = r.wrapping_mul(&r);
CtOption::new(r, ConstantTimeEq::ct_eq(self, &s))
}
Expand All @@ -76,13 +103,13 @@ mod tests {

#[test]
fn edge() {
assert_eq!(U256::ZERO.sqrt(), U256::ZERO);
assert_eq!(U256::ONE.sqrt(), U256::ONE);
assert_eq!(U256::ZERO.sqrt_vartime(), U256::ZERO);
assert_eq!(U256::ONE.sqrt_vartime(), U256::ONE);
let mut half = U256::ZERO;
for i in 0..half.limbs.len() / 2 {
half.limbs[i] = Limb::MAX;
}
assert_eq!(U256::MAX.sqrt(), half,);
assert_eq!(U256::MAX.sqrt_vartime(), half,);
}

#[test]
Expand All @@ -104,22 +131,28 @@ mod tests {
for (a, e) in &tests {
let l = U256::from(*a);
let r = U256::from(*e);
assert_eq!(l.sqrt(), r);
assert_eq!(l.checked_sqrt().is_some().unwrap_u8(), 1u8);
assert_eq!(l.sqrt_vartime(), r);
assert_eq!(l.checked_sqrt_vartime().is_some().unwrap_u8(), 1u8);
}
}

#[test]
fn nonsquares() {
assert_eq!(U256::from(2u8).sqrt(), U256::from(1u8));
assert_eq!(U256::from(2u8).checked_sqrt().is_some().unwrap_u8(), 0);
assert_eq!(U256::from(3u8).sqrt(), U256::from(1u8));
assert_eq!(U256::from(3u8).checked_sqrt().is_some().unwrap_u8(), 0);
assert_eq!(U256::from(5u8).sqrt(), U256::from(2u8));
assert_eq!(U256::from(6u8).sqrt(), U256::from(2u8));
assert_eq!(U256::from(7u8).sqrt(), U256::from(2u8));
assert_eq!(U256::from(8u8).sqrt(), U256::from(2u8));
assert_eq!(U256::from(10u8).sqrt(), U256::from(3u8));
assert_eq!(U256::from(2u8).sqrt_vartime(), U256::from(1u8));
assert_eq!(
U256::from(2u8).checked_sqrt_vartime().is_some().unwrap_u8(),
0
);
assert_eq!(U256::from(3u8).sqrt_vartime(), U256::from(1u8));
assert_eq!(
U256::from(3u8).checked_sqrt_vartime().is_some().unwrap_u8(),
0
);
assert_eq!(U256::from(5u8).sqrt_vartime(), U256::from(2u8));
assert_eq!(U256::from(6u8).sqrt_vartime(), U256::from(2u8));
assert_eq!(U256::from(7u8).sqrt_vartime(), U256::from(2u8));
assert_eq!(U256::from(8u8).sqrt_vartime(), U256::from(2u8));
assert_eq!(U256::from(10u8).sqrt_vartime(), U256::from(3u8));
}

#[cfg(feature = "rand")]
Expand All @@ -130,15 +163,15 @@ mod tests {
let t = rng.next_u32() as u64;
let s = U256::from(t);
let s2 = s.checked_mul(&s).unwrap();
assert_eq!(s2.sqrt(), s);
assert_eq!(s2.checked_sqrt().is_some().unwrap_u8(), 1);
assert_eq!(s2.sqrt_vartime(), s);
assert_eq!(s2.checked_sqrt_vartime().is_some().unwrap_u8(), 1);
}

for _ in 0..50 {
let s = U256::random(&mut rng);
let mut s2 = U512::ZERO;
s2.limbs[..s.limbs.len()].copy_from_slice(&s.limbs);
assert_eq!(s.square().sqrt(), s2);
assert_eq!(s.square().sqrt_vartime(), s2);
}
}
}
23 changes: 17 additions & 6 deletions src/uint/sub.rs
Original file line number Diff line number Diff line change
Expand Up @@ -25,12 +25,7 @@ impl<const LIMBS: usize> Uint<LIMBS> {
/// Perform saturating subtraction, returning `ZERO` on underflow.
pub const fn saturating_sub(&self, rhs: &Self) -> Self {
let (res, underflow) = self.sbb(rhs, Limb::ZERO);

if underflow.0 == 0 {
res
} else {
Self::ZERO
}
Self::ct_select(&res, &Self::ZERO, CtChoice::from_mask(underflow.0))
}

/// Perform wrapping subtraction, discarding underflow and wrapping around
Expand Down Expand Up @@ -180,6 +175,22 @@ mod tests {
assert_eq!(borrow, Limb::MAX);
}

#[test]
fn saturating_sub_no_borrow() {
assert_eq!(
U128::from(5u64).saturating_sub(&U128::ONE),
U128::from(4u64)
);
}

#[test]
fn saturating_sub_with_borrow() {
assert_eq!(
U128::from(4u64).saturating_sub(&U128::from(5u64)),
U128::ZERO
);
}

#[test]
fn wrapping_sub_no_borrow() {
assert_eq!(U128::ONE.wrapping_sub(&U128::ONE), U128::ZERO);
Expand Down
2 changes: 1 addition & 1 deletion tests/proptests.rs
Original file line number Diff line number Diff line change
Expand Up @@ -190,7 +190,7 @@ proptest! {
fn wrapping_sqrt(a in uint()) {
let a_bi = to_biguint(&a);
let expected = to_uint(a_bi.sqrt());
let actual = a.wrapping_sqrt();
let actual = a.wrapping_sqrt_vartime();

assert_eq!(expected, actual);
}
Expand Down