pub struct QuadInt<I, const D: i32>(/* private fields */)
where
I: IntType,
for<'x> &'x I: IntOps<I>;Expand description
A quadratic integer in ℤ[ω], represented by (a, b) for a + b·ω.
See the module-level docs for the meaning of ω and the const D.
Implementations§
Trait Implementations§
Source§impl<I, const D: i32> AddAssign for QuadInt<I, D>
impl<I, const D: i32> AddAssign for QuadInt<I, D>
Source§fn add_assign(&mut self, rhs: QuadInt<I, D>)
fn add_assign(&mut self, rhs: QuadInt<I, D>)
Performs the
+= operation. Read moreSource§impl<I, const D: i32> AddAssign<&QuadInt<I, D>> for QuadInt<I, D>
impl<I, const D: i32> AddAssign<&QuadInt<I, D>> for QuadInt<I, D>
Source§fn add_assign(&mut self, rhs: &QuadInt<I, D>)
fn add_assign(&mut self, rhs: &QuadInt<I, D>)
Performs the
+= operation. Read moreimpl<I, const D: i32> AddGrp for QuadInt<I, D>
impl<I, const D: i32> AddGrpOps for QuadInt<I, D>
impl<I, const D: i32> AddGrpOps<QuadInt<I, D>> for &QuadInt<I, D>
impl<I, const D: i32> AddMonOps for QuadInt<I, D>
impl<I, const D: i32> AddMonOps<QuadInt<I, D>> for &QuadInt<I, D>
Source§impl<I> DivAssign<&QuadInt<I, -1>> for GaussInt<I>
impl<I> DivAssign<&QuadInt<I, -1>> for GaussInt<I>
Source§fn div_assign(&mut self, rhs: &GaussInt<I>)
fn div_assign(&mut self, rhs: &GaussInt<I>)
Performs the
/= operation. Read moreSource§impl<I> DivAssign<&QuadInt<I, -3>> for EisenInt<I>
impl<I> DivAssign<&QuadInt<I, -3>> for EisenInt<I>
Source§fn div_assign(&mut self, rhs: &EisenInt<I>)
fn div_assign(&mut self, rhs: &EisenInt<I>)
Performs the
/= operation. Read moreimpl<I, const D: i32> Eq for QuadInt<I, D>
Source§impl<I> EucRing for QuadInt<I, -1>
impl<I> EucRing for QuadInt<I, -1>
Source§impl<I> EucRing for QuadInt<I, -3>
impl<I> EucRing for QuadInt<I, -3>
impl<I> EucRingOps for QuadInt<I, -1>
impl<I> EucRingOps for QuadInt<I, -3>
impl<I> EucRingOps<QuadInt<I, -1>> for &QuadInt<I, -1>
impl<I> EucRingOps<QuadInt<I, -3>> for &QuadInt<I, -3>
impl<I, const D: i32> MonOps for QuadInt<I, D>
impl<I, const D: i32> MonOps<QuadInt<I, D>> for &QuadInt<I, D>
Source§impl<I, const D: i32> MulAssign for QuadInt<I, D>
impl<I, const D: i32> MulAssign for QuadInt<I, D>
Source§fn mul_assign(&mut self, rhs: QuadInt<I, D>)
fn mul_assign(&mut self, rhs: QuadInt<I, D>)
Performs the
*= operation. Read moreSource§impl<I, const D: i32> MulAssign<&QuadInt<I, D>> for QuadInt<I, D>
impl<I, const D: i32> MulAssign<&QuadInt<I, D>> for QuadInt<I, D>
Source§fn mul_assign(&mut self, rhs: &QuadInt<I, D>)
fn mul_assign(&mut self, rhs: &QuadInt<I, D>)
Performs the
*= operation. Read moreSource§impl<I> RemAssign<&QuadInt<I, -1>> for GaussInt<I>
impl<I> RemAssign<&QuadInt<I, -1>> for GaussInt<I>
Source§fn rem_assign(&mut self, rhs: &GaussInt<I>)
fn rem_assign(&mut self, rhs: &GaussInt<I>)
Performs the
%= operation. Read moreSource§impl<I> RemAssign<&QuadInt<I, -3>> for EisenInt<I>
impl<I> RemAssign<&QuadInt<I, -3>> for EisenInt<I>
Source§fn rem_assign(&mut self, rhs: &EisenInt<I>)
fn rem_assign(&mut self, rhs: &EisenInt<I>)
Performs the
%= operation. Read moreSource§impl<I, const D: i32> Ring for QuadInt<I, D>
impl<I, const D: i32> Ring for QuadInt<I, D>
Source§fn is_unit(&self) -> bool
fn is_unit(&self) -> bool
true iff this element is a unit (has a multiplicative inverse). Read moreSource§fn inv(&self) -> Option<Self>
fn inv(&self) -> Option<Self>
Multiplicative inverse, if this element is a unit; otherwise
None.Source§fn normalizing_unit(&self) -> Self
fn normalizing_unit(&self) -> Self
Source§fn normalized(&self) -> Self
fn normalized(&self) -> Self
The canonical associate of
self (i.e. self * self.normalizing_unit()).Source§fn into_normalized(self) -> Self
fn into_normalized(self) -> Self
Like
normalized, but consuming.impl<I, const D: i32> RingOps for QuadInt<I, D>
impl<I, const D: i32> RingOps<QuadInt<I, D>> for &QuadInt<I, D>
impl<I, const D: i32> StructuralPartialEq for QuadInt<I, D>
Source§impl<I, const D: i32> SubAssign for QuadInt<I, D>
impl<I, const D: i32> SubAssign for QuadInt<I, D>
Source§fn sub_assign(&mut self, rhs: QuadInt<I, D>)
fn sub_assign(&mut self, rhs: QuadInt<I, D>)
Performs the
-= operation. Read moreSource§impl<I, const D: i32> SubAssign<&QuadInt<I, D>> for QuadInt<I, D>
impl<I, const D: i32> SubAssign<&QuadInt<I, D>> for QuadInt<I, D>
Source§fn sub_assign(&mut self, rhs: &QuadInt<I, D>)
fn sub_assign(&mut self, rhs: &QuadInt<I, D>)
Performs the
-= operation. Read moreAuto Trait Implementations§
impl<I, const D: i32> Freeze for QuadInt<I, D>
impl<I, const D: i32> RefUnwindSafe for QuadInt<I, D>
impl<I, const D: i32> Send for QuadInt<I, D>
impl<I, const D: i32> Sync for QuadInt<I, D>
impl<I, const D: i32> Unpin for QuadInt<I, D>
impl<I, const D: i32> UnsafeUnpin for QuadInt<I, D>
impl<I, const D: i32> UnwindSafe for QuadInt<I, D>
Blanket Implementations§
Source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
Source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
Source§impl<T> CloneToUninit for Twhere
T: Clone,
impl<T> CloneToUninit for Twhere
T: Clone,
Source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
Source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
Source§fn equivalent(&self, key: &K) -> bool
fn equivalent(&self, key: &K) -> bool
Compare self to
key and return true if they are equal.Source§impl<Q, K> Equivalent<K> for Q
impl<Q, K> Equivalent<K> for Q
Source§impl<T> IntoEither for T
impl<T> IntoEither for T
Source§fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ
fn into_either(self, into_left: bool) -> Either<Self, Self> ⓘ
Converts
self into a Left variant of Either<Self, Self>
if into_left is true.
Converts self into a Right variant of Either<Self, Self>
otherwise. Read moreSource§fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
fn into_either_with<F>(self, into_left: F) -> Either<Self, Self> ⓘ
Converts
self into a Left variant of Either<Self, Self>
if into_left(&self) returns true.
Converts self into a Right variant of Either<Self, Self>
otherwise. Read more