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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-05-04 12:47:55 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-05-04 12:47:55 +0000
commit2aadc03ef15cb5ca5cc2af8a7c08e070742f0ac4 (patch)
tree033cc839730fda84ff08db877037977be94e5e3a /vendor/crypto-bigint/src/uint/mul.rs
parentInitial commit. (diff)
downloadcargo-2aadc03ef15cb5ca5cc2af8a7c08e070742f0ac4.tar.xz
cargo-2aadc03ef15cb5ca5cc2af8a7c08e070742f0ac4.zip
Adding upstream version 0.70.1+ds1.upstream/0.70.1+ds1upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'vendor/crypto-bigint/src/uint/mul.rs')
-rw-r--r--vendor/crypto-bigint/src/uint/mul.rs414
1 files changed, 414 insertions, 0 deletions
diff --git a/vendor/crypto-bigint/src/uint/mul.rs b/vendor/crypto-bigint/src/uint/mul.rs
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+++ b/vendor/crypto-bigint/src/uint/mul.rs
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+//! [`Uint`] addition operations.
+
+use crate::{Checked, CheckedMul, Concat, ConcatMixed, Limb, Uint, WideWord, Word, Wrapping, Zero};
+use core::ops::{Mul, MulAssign};
+use subtle::CtOption;
+
+impl<const LIMBS: usize> Uint<LIMBS> {
+ /// Multiply `self` by `rhs`, returning a concatenated "wide" result.
+ pub fn mul<const HLIMBS: usize>(
+ &self,
+ rhs: &Uint<HLIMBS>,
+ ) -> <Uint<HLIMBS> as ConcatMixed<Self>>::MixedOutput
+ where
+ Uint<HLIMBS>: ConcatMixed<Self>,
+ {
+ let (lo, hi) = self.mul_wide(rhs);
+ hi.concat_mixed(&lo)
+ }
+
+ /// Compute "wide" multiplication, with a product twice the size of the input.
+ ///
+ /// Returns a tuple containing the `(lo, hi)` components of the product.
+ ///
+ /// # Ordering note
+ ///
+ /// Releases of `crypto-bigint` prior to v0.3 used `(hi, lo)` ordering
+ /// instead. This has been changed for better consistency with the rest of
+ /// the APIs in this crate.
+ ///
+ /// For more info see: <https://github.com/RustCrypto/crypto-bigint/issues/4>
+ pub const fn mul_wide<const HLIMBS: usize>(&self, rhs: &Uint<HLIMBS>) -> (Self, Uint<HLIMBS>) {
+ let mut i = 0;
+ let mut lo = Self::ZERO;
+ let mut hi = Uint::<HLIMBS>::ZERO;
+
+ // Schoolbook multiplication.
+ // TODO(tarcieri): use Karatsuba for better performance?
+ while i < LIMBS {
+ let mut j = 0;
+ let mut carry = Limb::ZERO;
+
+ while j < HLIMBS {
+ let k = i + j;
+
+ if k >= LIMBS {
+ let (n, c) = hi.limbs[k - LIMBS].mac(self.limbs[i], rhs.limbs[j], carry);
+ hi.limbs[k - LIMBS] = n;
+ carry = c;
+ } else {
+ let (n, c) = lo.limbs[k].mac(self.limbs[i], rhs.limbs[j], carry);
+ lo.limbs[k] = n;
+ carry = c;
+ }
+
+ j += 1;
+ }
+
+ if i + j >= LIMBS {
+ hi.limbs[i + j - LIMBS] = carry;
+ } else {
+ lo.limbs[i + j] = carry;
+ }
+ i += 1;
+ }
+
+ (lo, hi)
+ }
+
+ /// Perform saturating multiplication, returning `MAX` on overflow.
+ pub const fn saturating_mul<const HLIMBS: usize>(&self, rhs: &Uint<HLIMBS>) -> Self {
+ let (res, overflow) = self.mul_wide(rhs);
+ Self::ct_select(&res, &Self::MAX, overflow.ct_is_nonzero())
+ }
+
+ /// Perform wrapping multiplication, discarding overflow.
+ pub const fn wrapping_mul<const H: usize>(&self, rhs: &Uint<H>) -> Self {
+ self.mul_wide(rhs).0
+ }
+
+ /// Square self, returning a concatenated "wide" result.
+ pub fn square(&self) -> <Self as Concat>::Output
+ where
+ Self: Concat,
+ {
+ let (lo, hi) = self.square_wide();
+ hi.concat(&lo)
+ }
+
+ /// Square self, returning a "wide" result in two parts as (lo, hi).
+ pub const fn square_wide(&self) -> (Self, Self) {
+ // Translated from https://github.com/ucbrise/jedi-pairing/blob/c4bf151/include/core/bigint.hpp#L410
+ //
+ // Permission to relicense the resulting translation as Apache 2.0 + MIT was given
+ // by the original author Sam Kumar: https://github.com/RustCrypto/crypto-bigint/pull/133#discussion_r1056870411
+ let mut lo = Self::ZERO;
+ let mut hi = Self::ZERO;
+
+ // Schoolbook multiplication, but only considering half of the multiplication grid
+ let mut i = 1;
+ while i < LIMBS {
+ let mut j = 0;
+ let mut carry = Limb::ZERO;
+
+ while j < i {
+ let k = i + j;
+
+ if k >= LIMBS {
+ let (n, c) = hi.limbs[k - LIMBS].mac(self.limbs[i], self.limbs[j], carry);
+ hi.limbs[k - LIMBS] = n;
+ carry = c;
+ } else {
+ let (n, c) = lo.limbs[k].mac(self.limbs[i], self.limbs[j], carry);
+ lo.limbs[k] = n;
+ carry = c;
+ }
+
+ j += 1;
+ }
+
+ if (2 * i) < LIMBS {
+ lo.limbs[2 * i] = carry;
+ } else {
+ hi.limbs[2 * i - LIMBS] = carry;
+ }
+
+ i += 1;
+ }
+
+ // Double the current result, this accounts for the other half of the multiplication grid.
+ // TODO: The top word is empty so we can also use a special purpose shl.
+ (lo, hi) = Self::shl_vartime_wide((lo, hi), 1);
+
+ // Handle the diagonal of the multiplication grid, which finishes the multiplication grid.
+ let mut carry = Limb::ZERO;
+ let mut i = 0;
+ while i < LIMBS {
+ if (i * 2) < LIMBS {
+ let (n, c) = lo.limbs[i * 2].mac(self.limbs[i], self.limbs[i], carry);
+ lo.limbs[i * 2] = n;
+ carry = c;
+ } else {
+ let (n, c) = hi.limbs[i * 2 - LIMBS].mac(self.limbs[i], self.limbs[i], carry);
+ hi.limbs[i * 2 - LIMBS] = n;
+ carry = c;
+ }
+
+ if (i * 2 + 1) < LIMBS {
+ let n = lo.limbs[i * 2 + 1].0 as WideWord + carry.0 as WideWord;
+ lo.limbs[i * 2 + 1] = Limb(n as Word);
+ carry = Limb((n >> Word::BITS) as Word);
+ } else {
+ let n = hi.limbs[i * 2 + 1 - LIMBS].0 as WideWord + carry.0 as WideWord;
+ hi.limbs[i * 2 + 1 - LIMBS] = Limb(n as Word);
+ carry = Limb((n >> Word::BITS) as Word);
+ }
+
+ i += 1;
+ }
+
+ (lo, hi)
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> CheckedMul<&Uint<HLIMBS>> for Uint<LIMBS> {
+ type Output = Self;
+
+ fn checked_mul(&self, rhs: &Uint<HLIMBS>) -> CtOption<Self> {
+ let (lo, hi) = self.mul_wide(rhs);
+ CtOption::new(lo, hi.is_zero())
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<Wrapping<Uint<HLIMBS>>>
+ for Wrapping<Uint<LIMBS>>
+{
+ type Output = Self;
+
+ fn mul(self, rhs: Wrapping<Uint<HLIMBS>>) -> Wrapping<Uint<LIMBS>> {
+ Wrapping(self.0.wrapping_mul(&rhs.0))
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<&Wrapping<Uint<HLIMBS>>>
+ for Wrapping<Uint<LIMBS>>
+{
+ type Output = Self;
+
+ fn mul(self, rhs: &Wrapping<Uint<HLIMBS>>) -> Wrapping<Uint<LIMBS>> {
+ Wrapping(self.0.wrapping_mul(&rhs.0))
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<Wrapping<Uint<HLIMBS>>>
+ for &Wrapping<Uint<LIMBS>>
+{
+ type Output = Wrapping<Uint<LIMBS>>;
+
+ fn mul(self, rhs: Wrapping<Uint<HLIMBS>>) -> Wrapping<Uint<LIMBS>> {
+ Wrapping(self.0.wrapping_mul(&rhs.0))
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<&Wrapping<Uint<HLIMBS>>>
+ for &Wrapping<Uint<LIMBS>>
+{
+ type Output = Wrapping<Uint<LIMBS>>;
+
+ fn mul(self, rhs: &Wrapping<Uint<HLIMBS>>) -> Wrapping<Uint<LIMBS>> {
+ Wrapping(self.0.wrapping_mul(&rhs.0))
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> MulAssign<Wrapping<Uint<HLIMBS>>>
+ for Wrapping<Uint<LIMBS>>
+{
+ fn mul_assign(&mut self, other: Wrapping<Uint<HLIMBS>>) {
+ *self = *self * other;
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> MulAssign<&Wrapping<Uint<HLIMBS>>>
+ for Wrapping<Uint<LIMBS>>
+{
+ fn mul_assign(&mut self, other: &Wrapping<Uint<HLIMBS>>) {
+ *self = *self * other;
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<Checked<Uint<HLIMBS>>> for Checked<Uint<LIMBS>> {
+ type Output = Self;
+
+ fn mul(self, rhs: Checked<Uint<HLIMBS>>) -> Checked<Uint<LIMBS>> {
+ Checked(self.0.and_then(|a| rhs.0.and_then(|b| a.checked_mul(&b))))
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<&Checked<Uint<HLIMBS>>> for Checked<Uint<LIMBS>> {
+ type Output = Checked<Uint<LIMBS>>;
+
+ fn mul(self, rhs: &Checked<Uint<HLIMBS>>) -> Checked<Uint<LIMBS>> {
+ Checked(self.0.and_then(|a| rhs.0.and_then(|b| a.checked_mul(&b))))
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<Checked<Uint<HLIMBS>>> for &Checked<Uint<LIMBS>> {
+ type Output = Checked<Uint<LIMBS>>;
+
+ fn mul(self, rhs: Checked<Uint<HLIMBS>>) -> Checked<Uint<LIMBS>> {
+ Checked(self.0.and_then(|a| rhs.0.and_then(|b| a.checked_mul(&b))))
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<&Checked<Uint<HLIMBS>>>
+ for &Checked<Uint<LIMBS>>
+{
+ type Output = Checked<Uint<LIMBS>>;
+
+ fn mul(self, rhs: &Checked<Uint<HLIMBS>>) -> Checked<Uint<LIMBS>> {
+ Checked(self.0.and_then(|a| rhs.0.and_then(|b| a.checked_mul(&b))))
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> MulAssign<Checked<Uint<HLIMBS>>>
+ for Checked<Uint<LIMBS>>
+{
+ fn mul_assign(&mut self, other: Checked<Uint<HLIMBS>>) {
+ *self = *self * other;
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> MulAssign<&Checked<Uint<HLIMBS>>>
+ for Checked<Uint<LIMBS>>
+{
+ fn mul_assign(&mut self, other: &Checked<Uint<HLIMBS>>) {
+ *self = *self * other;
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<Uint<HLIMBS>> for Uint<LIMBS>
+where
+ Uint<HLIMBS>: ConcatMixed<Uint<LIMBS>>,
+{
+ type Output = <Uint<HLIMBS> as ConcatMixed<Self>>::MixedOutput;
+
+ fn mul(self, other: Uint<HLIMBS>) -> Self::Output {
+ Uint::mul(&self, &other)
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<&Uint<HLIMBS>> for Uint<LIMBS>
+where
+ Uint<HLIMBS>: ConcatMixed<Uint<LIMBS>>,
+{
+ type Output = <Uint<HLIMBS> as ConcatMixed<Self>>::MixedOutput;
+
+ fn mul(self, other: &Uint<HLIMBS>) -> Self::Output {
+ Uint::mul(&self, other)
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<Uint<HLIMBS>> for &Uint<LIMBS>
+where
+ Uint<HLIMBS>: ConcatMixed<Uint<LIMBS>>,
+{
+ type Output = <Uint<HLIMBS> as ConcatMixed<Uint<LIMBS>>>::MixedOutput;
+
+ fn mul(self, other: Uint<HLIMBS>) -> Self::Output {
+ Uint::mul(self, &other)
+ }
+}
+
+impl<const LIMBS: usize, const HLIMBS: usize> Mul<&Uint<HLIMBS>> for &Uint<LIMBS>
+where
+ Uint<HLIMBS>: ConcatMixed<Uint<LIMBS>>,
+{
+ type Output = <Uint<HLIMBS> as ConcatMixed<Uint<LIMBS>>>::MixedOutput;
+
+ fn mul(self, other: &Uint<HLIMBS>) -> Self::Output {
+ Uint::mul(self, other)
+ }
+}
+
+#[cfg(test)]
+mod tests {
+ use crate::{CheckedMul, Zero, U128, U192, U256, U64};
+
+ #[test]
+ fn mul_wide_zero_and_one() {
+ assert_eq!(U64::ZERO.mul_wide(&U64::ZERO), (U64::ZERO, U64::ZERO));
+ assert_eq!(U64::ZERO.mul_wide(&U64::ONE), (U64::ZERO, U64::ZERO));
+ assert_eq!(U64::ONE.mul_wide(&U64::ZERO), (U64::ZERO, U64::ZERO));
+ assert_eq!(U64::ONE.mul_wide(&U64::ONE), (U64::ONE, U64::ZERO));
+ }
+
+ #[test]
+ fn mul_wide_lo_only() {
+ let primes: &[u32] = &[3, 5, 17, 257, 65537];
+
+ for &a_int in primes {
+ for &b_int in primes {
+ let (lo, hi) = U64::from_u32(a_int).mul_wide(&U64::from_u32(b_int));
+ let expected = U64::from_u64(a_int as u64 * b_int as u64);
+ assert_eq!(lo, expected);
+ assert!(bool::from(hi.is_zero()));
+ }
+ }
+ }
+
+ #[test]
+ fn mul_concat_even() {
+ assert_eq!(U64::ZERO * U64::MAX, U128::ZERO);
+ assert_eq!(U64::MAX * U64::ZERO, U128::ZERO);
+ assert_eq!(
+ U64::MAX * U64::MAX,
+ U128::from_u128(0xfffffffffffffffe_0000000000000001)
+ );
+ assert_eq!(
+ U64::ONE * U64::MAX,
+ U128::from_u128(0x0000000000000000_ffffffffffffffff)
+ );
+ }
+
+ #[test]
+ fn mul_concat_mixed() {
+ let a = U64::from_u64(0x0011223344556677);
+ let b = U128::from_u128(0x8899aabbccddeeff_8899aabbccddeeff);
+ assert_eq!(a * b, U192::from(&a).saturating_mul(&b));
+ assert_eq!(b * a, U192::from(&b).saturating_mul(&a));
+ }
+
+ #[test]
+ fn checked_mul_ok() {
+ let n = U64::from_u32(0xffff_ffff);
+ assert_eq!(
+ n.checked_mul(&n).unwrap(),
+ U64::from_u64(0xffff_fffe_0000_0001)
+ );
+ }
+
+ #[test]
+ fn checked_mul_overflow() {
+ let n = U64::from_u64(0xffff_ffff_ffff_ffff);
+ assert!(bool::from(n.checked_mul(&n).is_none()));
+ }
+
+ #[test]
+ fn saturating_mul_no_overflow() {
+ let n = U64::from_u8(8);
+ assert_eq!(n.saturating_mul(&n), U64::from_u8(64));
+ }
+
+ #[test]
+ fn saturating_mul_overflow() {
+ let a = U64::from(0xffff_ffff_ffff_ffffu64);
+ let b = U64::from(2u8);
+ assert_eq!(a.saturating_mul(&b), U64::MAX);
+ }
+
+ #[test]
+ fn square() {
+ let n = U64::from_u64(0xffff_ffff_ffff_ffff);
+ let (hi, lo) = n.square().split();
+ assert_eq!(lo, U64::from_u64(1));
+ assert_eq!(hi, U64::from_u64(0xffff_ffff_ffff_fffe));
+ }
+
+ #[test]
+ fn square_larger() {
+ let n = U256::MAX;
+ let (hi, lo) = n.square().split();
+ assert_eq!(lo, U256::ONE);
+ assert_eq!(hi, U256::MAX.wrapping_sub(&U256::ONE));
+ }
+}