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GcdReturn

Struct GcdReturn 

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pub struct GcdReturn<G, C> {
    pub gcd: G,
    pub x: C,
    pub y: C,
}
Expand description

⚖️ A return type for the calculated GCD and the Bézout coeficients.


📍 num/dom/int


The coefficients are the solutions to the equation $ \text{gcd}(a, b) = ax + by $.

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§gcd: G

The greatest common divisor.

§x: C

The first Bézout’s coefficient x.

§y: C

The second Bézout’s coefficient y.

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impl<G, C> GcdReturn<G, C>

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pub const fn new(gcd: G, x: C, y: C) -> Self

Constructs a new GcdReturn.

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pub fn as_tuple(self) -> (G, C, C)

Returns the values as a tuple.

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impl<G: Copy, C: Copy> GcdReturn<G, C>

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pub const fn as_tuple_copy(self) -> (G, C, C)

Returns the values as a tuple, in compile-time.

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impl<T> GcdReturn<T, T>

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pub fn as_array(self) -> [T; 3]

Returns the values as an array, if all are of the same type.

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impl<T: Copy> GcdReturn<T, T>

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pub const fn as_array_copy(self) -> [T; 3]

Returns the values as an array, if all are of the same type.

Trait Implementations§

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impl<G: Clone, C: Clone> Clone for GcdReturn<G, C>

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fn clone(&self) -> GcdReturn<G, C>

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<G: Copy, C: Copy> Copy for GcdReturn<G, C>

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impl<G: Debug, C: Debug> Debug for GcdReturn<G, C>

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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<G: Display, C: Display> Display for GcdReturn<G, C>

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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<G: Eq, C: Eq> Eq for GcdReturn<G, C>

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impl<G: Hash, C: Hash> Hash for GcdReturn<G, C>

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<G: PartialEq, C: PartialEq> PartialEq for GcdReturn<G, C>

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fn eq(&self, other: &GcdReturn<G, C>) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

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<G, C> StructuralPartialEq for GcdReturn<G, C>

Auto Trait Implementations§

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impl<G, C> Freeze for GcdReturn<G, C>
where G: Freeze, C: Freeze,

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impl<G, C> RefUnwindSafe for GcdReturn<G, C>

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impl<G, C> Send for GcdReturn<G, C>
where G: Send, C: Send,

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impl<G, C> Sync for GcdReturn<G, C>
where G: Sync, C: Sync,

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impl<G, C> Unpin for GcdReturn<G, C>
where G: Unpin, C: Unpin,

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impl<G, C> UnsafeUnpin for GcdReturn<G, C>
where G: UnsafeUnpin, C: UnsafeUnpin,

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impl<G, C> UnwindSafe for GcdReturn<G, C>
where G: UnwindSafe, C: 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> AnyExt for T
where T: Any + ?Sized,

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fn type_id() -> TypeId

Returns the TypeId of Self. Read more
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fn type_of(&self) -> TypeId

Returns the TypeId of self. Read more
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fn type_name(&self) -> &'static str

Returns the type name of self. Read more
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fn type_is<T: 'static>(&self) -> bool

Returns true if Self is of type T. Read more
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fn type_hash(&self) -> u64

Returns a deterministic hash of the TypeId of Self.
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fn type_hash_with<H: Hasher>(&self, hasher: H) -> u64

Returns a deterministic hash of the TypeId of Self using a custom hasher.
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fn as_any_ref(&self) -> &dyn Any
where Self: Sized,

Upcasts &self as &dyn Any. Read more
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fn as_any_mut(&mut self) -> &mut dyn Any
where Self: Sized,

Upcasts &mut self as &mut dyn Any. Read more
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fn as_any_box(self: Box<Self>) -> Box<dyn Any>
where Self: Sized,

Available on crate feature alloc only.
Upcasts Box<self> as Box<dyn Any>. Read more
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fn downcast_ref<T: 'static>(&self) -> Option<&T>

Available on crate feature unsafe_layout and non-crate feature safe_code only.
Returns some shared reference to the inner value if it is of type T. Read more
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fn downcast_mut<T: 'static>(&mut self) -> Option<&mut T>

Available on crate feature unsafe_layout and non-crate feature safe_code only.
Returns some exclusive reference to the inner value if it is of type T. 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> ByteSized for T

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const BYTE_ALIGN: usize = _

The alignment of this type in bytes.
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const BYTE_SIZE: usize = _

The size of this type in bytes.
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fn byte_align(&self) -> usize

Returns the alignment of this type in bytes.
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fn byte_size(&self) -> usize

Returns the size of this type in bytes. Read more
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fn ptr_size_ratio(&self) -> [usize; 2]

Returns the size ratio between Ptr::BYTES and BYTE_SIZE. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more
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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> Hook for T

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fn hook<F>(self, f: F) -> Self
where F: FnOnce(&mut Self),

Hooks a mutation step into the value and returns it. Read more
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fn tap<F>(self, f: F) -> Self
where F: FnOnce(&Self),

Taps into the value for observation and returns it unchanged. Read more
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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> MemExt for T
where T: ?Sized,

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const NEEDS_DROP: bool = _

Know whether dropping values of this type matters, in compile-time.
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fn mem_align_of<T>() -> usize

Returns the minimum alignment of the type in bytes. Read more
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fn mem_align_of_val(&self) -> usize

Returns the alignment of the pointed-to value in bytes. Read more
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fn mem_size_of<T>() -> usize

Returns the size of a type in bytes. Read more
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fn mem_size_of_val(&self) -> usize

Returns the size of the pointed-to value in bytes. Read more
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fn mem_copy(&self) -> Self
where Self: Copy,

Bitwise-copies a value. Read more
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fn mem_needs_drop(&self) -> bool

Returns true if dropping values of this type matters. Read more
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fn mem_drop(self)
where Self: Sized,

Drops self by running its destructor. Read more
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fn mem_forget(self)
where Self: Sized,

Forgets about self without running its destructor. Read more
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fn mem_replace(&mut self, other: Self) -> Self
where Self: Sized,

Replaces self with other, returning the previous value of self. Read more
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fn mem_take(&mut self) -> Self
where Self: Default,

Replaces self with its default value, returning the previous value of self. Read more
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fn mem_swap(&mut self, other: &mut Self)
where Self: Sized,

Swaps the value of self and other without deinitializing either one. Read more
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unsafe fn mem_zeroed<T>() -> T

Available on crate feature unsafe_layout only.
Returns the value of type T represented by the all-zero byte-pattern. Read more
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unsafe fn mem_transmute_copy<Src, Dst>(src: &Src) -> Dst

Available on crate feature unsafe_layout only.
Returns the value of type T represented by the all-zero byte-pattern. Read more
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fn mem_as_bytes(&self) -> &[u8]
where Self: Sync + Unpin,

Available on crate feature unsafe_slice only.
View a Sync + Unpin self as &[u8]. Read more
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fn mem_as_bytes_mut(&mut self) -> &mut [u8]
where Self: Sync + Unpin,

Available on crate feature unsafe_slice only.
View a Sync + Unpin self as &mut [u8]. Read more
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impl<T, R> Morph<R> for T
where T: ?Sized,

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fn morph<F>(self, f: F) -> R
where F: FnOnce(Self) -> R, Self: Sized,

Morphs the value into a new one and returns it. Read more
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fn morph_ref<F>(&self, f: F) -> R
where F: FnOnce(&Self) -> R,

Morphs the value by shared reference and returns the result. Read more
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fn morph_mut<F>(&mut self, f: F) -> R
where F: FnOnce(&mut Self) -> R,

Morphs the value by exclusive reference and returns the result. Read more
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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> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. 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.