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Factors

Struct Factors

pub struct Factors(pub BTreeMap<Integer, usize>);

Expand description

Factors of a number.

Tuple Fields§

§0: BTreeMap<Integer, usize>

Implementations§

impl Factors

pub fn product(&self) -> Integer

Returns the product of the factors.

pub fn phi(&self) -> Integer

Returns the Euler totient of the factors.

Note:

phi(a*b) = phi(a) * phi(b)
phi(p^k) = (p-1) * p^(k-1)

pub fn phis(&self) -> Vec<Integer>

Returns the Euler totient of each unique factor (phi(p^k)).

pub fn factors(&self) -> Vec<&Integer>

Returns unique factors.

pub fn len(&self) -> usize

Returns the number of factors.

pub fn as_vec(&self) -> Vec<&Integer>

Returns factors as a vector of references.

pub fn to_vec(&self) -> Vec<Integer>

Returns factors as a vector.

pub fn as_hash_map(&self) -> HashMap<&Integer, usize>

Returns factors as a hash map of references.

pub fn to_hash_map(&self) -> HashMap<Integer, usize>

Returns factors as a hash map.

pub fn optimize(&mut self)

Optimizes factors when some are divisible by others.

pub fn merge(&mut self, other: &Self)

Merges two factors of the same number into one. The result is the union of the two factors.

Trait Implementations§

impl Clone for Factors

fn clone(&self) -> Factors

Returns a duplicate of the value. Read more

1.0.0 · Source§

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

Performs copy-assignment from source. Read more

impl Debug for Factors

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

Formats the value using the given formatter. Read more

impl<T: Clone + Into<Integer>> From<&[T]> for Factors

fn from(factors: &[T]) -> Self

Converts to this type from the input type.

impl<T: Clone + Into<Integer>, const N: usize> From<&[T; N]> for Factors

fn from(factors: &[T; N]) -> Self

Converts to this type from the input type.

impl<T: Clone + Into<Integer>, const N: usize> From<[T; N]> for Factors

fn from(factors: [T; N]) -> Self

Converts to this type from the input type.

impl<T: Clone + Into<Integer>> From<BTreeMap<T, usize>> for Factors

fn from(factors: BTreeMap<T, usize>) -> Self

Converts to this type from the input type.

impl<T: Clone + Into<Integer> + Ord> From<HashMap<T, usize>> for Factors

fn from(factors: HashMap<T, usize>) -> Self

Converts to this type from the input type.

impl<T: Clone + Into<Integer>> From<Vec<T>> for Factors

fn from(factors: Vec<T>) -> Self

Converts to this type from the input type.

impl Index<usize> for Factors

type Output = Integer

The returned type after indexing.

fn index(&self, index: usize) -> &Integer

Performs the indexing (container[index]) operation. Read more

impl PartialEq for Factors

fn eq(&self, other: &Factors) -> bool

Tests for self and other values to be equal, and is used by ==.

1.0.0 · 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.

impl Eq for Factors

impl StructuralPartialEq for Factors

Auto Trait Implementations§

impl Freeze for Factors

impl RefUnwindSafe for Factors

impl Send for Factors

impl Sync for Factors

impl Unpin for Factors

impl UnsafeUnpin for Factors

impl UnwindSafe for Factors

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

impl<T> Az for T

fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.

impl<T> Borrow<T> for T
where T: ?Sized,

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

impl<T> BorrowMut<T> for T
where T: ?Sized,

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

Mutably borrows from an owned value. Read more

impl<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

fn cast_from(src: Src) -> Dst

Casts the value.

impl<T> CheckedAs for T

fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.

impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.

impl<T> CloneToUninit for T
where T: Clone,

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

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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

Checks if this value is equivalent to the given key. Read more

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

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

Compare self to key and return true if they are equal.

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T> Instrument for T

fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more

fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more

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

fn into(self) -> U

Calls U::from(self).

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

impl<T> IntoEither for T

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

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

impl<T> OverflowingAs for T

fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.

impl<Src, Dst> OverflowingCastFrom<Src> for Dst
where Src: OverflowingCast<Dst>,

fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.

impl<T> Pointable for T

const ALIGN: usize

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more

impl<T> QueueExt for T
where T: ?Sized,

fn queue_stream<Item, F>(self, f: F) -> QueueStream<Self, Item, F>
where Self: Sized + Unpin, F: Fn(Pin<&mut Self>, &mut Context<'_>) -> Poll<Option<Item>>,

fn queue_sender<Item, F, R>(self, f: F) -> QueueSender<Self, Item, F, R>
where Self: Sized + Waker, F: Fn(&mut Self, Action<Item>) -> Reply<R>,

fn queue_channel<Item, F1, R, F2>( self, f1: F1, f2: F2, ) -> (QueueSender<QueueStream<Self, Item, F2>, Item, F1, R>, QueueStream<Self, Item, F2>)
where Self: Sized + Unpin + Clone, F1: Fn(&mut QueueStream<Self, Item, F2>, Action<Item>) -> Reply<R>, F2: Fn(Pin<&mut Self>, &mut Context<'_>) -> Poll<Option<Item>> + Clone + Unpin,

impl<T> Same for T

type Output = T

Should always be Self

impl<T> SaturatingAs for T

fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.

impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

fn saturating_cast_from(src: Src) -> Dst

Casts the value.

impl<T> StrictAs for T

fn strict_as<Dst>(self) -> Dst
where T: StrictCast<Dst>,

Casts the value.

impl<Src, Dst> StrictCastFrom<Src> for Dst
where Src: StrictCast<Dst>,

fn strict_cast_from(src: Src) -> Dst

Casts the value.

impl<T> ToOwned for T
where T: Clone,

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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

The type returned in the event of a conversion error.

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.

impl<T> UnwrappedAs for T

fn unwrapped_as<Dst>(self) -> Dst
where T: UnwrappedCast<Dst>,

Casts the value.

impl<Src, Dst> UnwrappedCastFrom<Src> for Dst
where Src: UnwrappedCast<Dst>,

fn unwrapped_cast_from(src: Src) -> Dst

Casts the value.

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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a WithDispatch wrapper. Read more

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impl<T> WrappingAs for T

fn wrapping_as<Dst>(self) -> Dst
where T: WrappingCast<Dst>,

Casts the value.

impl<Src, Dst> WrappingCastFrom<Src> for Dst
where Src: WrappingCast<Dst>,

fn wrapping_cast_from(src: Src) -> Dst

Casts the value.