algebraeon_groups::free_group

Struct FreeGroup

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pub struct FreeGroup<S: UnderlyingSet> { /* private fields */ }

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impl<S: UnderlyingSet> FreeGroup<S>

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pub fn generator(s: S) -> Self

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impl<S: UnderlyingSet> FreeGroup<S>

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pub fn generated_finite_group(gens: Vec<S>, relations: Vec<Self>) -> Group

Trait Implementations§

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impl<S: Clone + UnderlyingSet> Clone for FreeGroup<S>

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fn clone(&self) -> FreeGroup<S>

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<S: Debug + UnderlyingSet> Debug for FreeGroup<S>

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl<S: UnderlyingSet> Group for FreeGroup<S>

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fn identity() -> Self

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fn inverse(self) -> Self

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fn compose_mut(&mut self, other: &Self)

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fn inverse_ref(&self) -> Self

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fn compose(a: Self, b: Self) -> Self

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fn compose_lref(a: &Self, b: Self) -> Self

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fn compose_rref(a: Self, b: &Self) -> Self

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fn compose_refs(a: &Self, b: &Self) -> Self

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fn compose_list(elems: Vec<impl Borrow<Self>>) -> Self

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fn nat_pow(&self, n: &Natural) -> Self

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fn int_pow(&self, n: &Integer) -> Self

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impl<S: PartialEq + UnderlyingSet> PartialEq for FreeGroup<S>

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fn eq(&self, other: &FreeGroup<S>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<S: Eq + UnderlyingSet> Eq for FreeGroup<S>

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impl<S: UnderlyingSet> StructuralPartialEq for FreeGroup<S>

Auto Trait Implementations§

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impl<S> Freeze for FreeGroup<S>

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impl<S> RefUnwindSafe for FreeGroup<S>
where S: RefUnwindSafe,

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impl<S> Send for FreeGroup<S>
where S: Send,

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impl<S> Sync for FreeGroup<S>
where S: Sync,

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impl<S> Unpin for FreeGroup<S>
where S: Unpin,

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impl<S> UnwindSafe for FreeGroup<S>
where S: UnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dst: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
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impl<T, U> ExactFrom<T> for U
where U: TryFrom<T>,

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fn exact_from(value: T) -> U

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impl<T, U> ExactInto<U> for T
where U: ExactFrom<T>,

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fn exact_into(self) -> U

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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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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 more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

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
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impl<T, U> OverflowingInto<U> for T
where U: OverflowingFrom<T>,

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fn overflowing_into(self) -> (U, bool)

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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<G> Pow<Integer> for G
where G: Group,

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fn pow(&self, exp: Integer) -> G

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impl<G> Pow<Natural> for G
where G: Group,

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fn pow(&self, exp: Natural) -> G

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impl<G> Pow<i16> for G
where G: Group,

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fn pow(&self, exp: i16) -> G

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impl<G> Pow<i32> for G
where G: Group,

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fn pow(&self, exp: i32) -> G

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impl<G> Pow<i64> for G
where G: Group,

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fn pow(&self, exp: i64) -> G

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impl<G> Pow<i8> for G
where G: Group,

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fn pow(&self, exp: i8) -> G

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impl<G> Pow<u16> for G
where G: Group,

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fn pow(&self, exp: u16) -> G

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impl<G> Pow<u32> for G
where G: Group,

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fn pow(&self, exp: u32) -> G

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impl<G> Pow<u64> for G
where G: Group,

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fn pow(&self, exp: u64) -> G

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impl<G> Pow<u8> for G
where G: Group,

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fn pow(&self, exp: u8) -> G

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impl<T, U> RoundingInto<U> for T
where U: RoundingFrom<T>,

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fn rounding_into(self, rm: RoundingMode) -> U

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impl<T> Same for T

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type Output = T

Should always be Self
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impl<T, U> SaturatingInto<U> for T
where U: SaturatingFrom<T>,

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fn saturating_into(self) -> U

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impl<T> ToDebugString for T
where T: Debug,

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fn to_debug_string(&self) -> String

Returns the String produced by Ts Debug implementation.

§Examples
use malachite_base::strings::ToDebugString;

assert_eq!([1, 2, 3].to_debug_string(), "[1, 2, 3]");
assert_eq!(
    [vec![2, 3], vec![], vec![4]].to_debug_string(),
    "[[2, 3], [], [4]]"
);
assert_eq!(Some(5).to_debug_string(), "Some(5)");
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<T, U> WrappingInto<U> for T
where U: WrappingFrom<T>,

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fn wrapping_into(self) -> U