Struct dsalgo::modular::Modular

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pub struct Modular<M> { /* private fields */ }

Implementations

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pub fn invert(&self) -> Self

Trait Implementations

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impl<M: Modulus> Add<Modular<M>> for Modular<M>

type Output = Self

The resulting type after applying the + operator.

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fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more

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impl<M: Modulus + Copy> AddAssign<Modular<M>> for Modular<M>

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more

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impl<M: Modulus> BinaryOperation<Modular<M>, Add> for Modular<M>

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fn operate(lhs: &Self, rhs: &Self) -> Self

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impl<M: Modulus> BinaryOperation<Modular<M>, Mul> for Modular<M>

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fn operate(lhs: &Self, rhs: &Self) -> Self

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impl<M: Clone> Clone for Modular<M>

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fn clone(&self) -> Modular<M>

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<M: Debug> Debug for Modular<M>

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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<M> Display for Modular<M>

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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<M: Modulus + IsPrime> Div<Modular<M>> for Modular<M>

type Output = Self

The resulting type after applying the / operator.

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fn div(self, rhs: Self) -> Self

Performs the / operation. Read more

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impl<M: Modulus + IsPrime + Copy> DivAssign<Modular<M>> for Modular<M>

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fn div_assign(&mut self, rhs: Self)

Performs the /= operation. Read more

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impl<M: Modulus> From<usize> for Modular<M>

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fn from(value: usize) -> Self

Performs the conversion.

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impl<M: Modulus> Identity<Modular<M>, Add> for Modular<M>

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fn identity() -> Self

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impl<M: Modulus> Identity<Modular<M>, Mul> for Modular<M>

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fn identity() -> Self

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impl<M: Modulus> Mul<Modular<M>> for Modular<M>

type Output = Self

The resulting type after applying the * operator.

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fn mul(self, rhs: Self) -> Self

Performs the * operation. Read more

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impl<M: Modulus + Copy> MulAssign<Modular<M>> for Modular<M>

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more

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impl<M: Modulus> Neg for Modular<M>

type Output = Self

The resulting type after applying the - operator.

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fn neg(self) -> Self::Output

Performs the unary - operation. Read more

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impl<M: PartialEq> PartialEq<Modular<M>> for Modular<M>

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fn eq(&self, other: &Modular<M>) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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fn ne(&self, other: &Modular<M>) -> bool

This method tests for !=.

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impl<M: Modulus> Sub<Modular<M>> for Modular<M>

type Output = Self

The resulting type after applying the - operator.

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fn sub(self, rhs: Self) -> Self

Performs the - operation. Read more

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impl<M: Modulus + Copy> SubAssign<Modular<M>> for Modular<M>

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more

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impl<M: Modulus> Associative<Modular<M>, Add> for Modular<M>

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impl<M: Modulus> Associative<Modular<M>, Mul> for Modular<M>

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impl<M: Copy> Copy for Modular<M>

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impl<M: Eq> Eq for Modular<M>

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impl<M> StructuralEq for Modular<M>

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impl<M> StructuralPartialEq for Modular<M>

Auto Trait Implementations

impl<M> RefUnwindSafe for Modular<M> where
M: RefUnwindSafe,

impl<M> Send for Modular<M> where
M: Send,

impl<M> Sync for Modular<M> where
M: Sync,

impl<M> Unpin for Modular<M> where
M: Unpin,

impl<M> UnwindSafe for Modular<M> where
M: 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,

const: unstable · source

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

Mutably borrows from an owned value. Read more

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impl<T> From<T> for T

const: unstable · source

fn from(t: T) -> T

Returns the argument unchanged.

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

const: unstable · source

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<S, T, M> Power<S, T> for M where
M: Monoid<S, T>,

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fn pow(value: &S, exponent: usize) -> S

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

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)

🔬 This is a nightly-only experimental API. (toowned_clone_into)

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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default fn to_string(&self) -> String

Converts the given value to a String. Read more

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

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

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

Performs the conversion.

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

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

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

Performs the conversion.

impl<V, T> VZip<V> for T where
V: MultiLane<T>,

fn vzip(self) -> V

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impl<S, T, U> Magma<S, T> for U where
U: BinaryOperation<S, T>,

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impl<S, T, U> Monoid<S, T> for U where
U: Semigroup<S, T> + Identity<S, T>,

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Struct dsalgo::modular::Modular

Implementations

impl<M> Modular<M>

pub const fn value(&self) -> usize

impl<M: Modulus> Modular<M>

pub fn new(n: usize) -> Self

impl<M: Modulus> Modular<M>

pub fn pow(&self, exponent: usize) -> Self

impl<M: Modulus + IsPrime> Modular<M>

pub fn invert(&self) -> Self

Trait Implementations

impl<M: Modulus> Add<Modular<M>> for Modular<M>

type Output = Self

fn add(self, rhs: Self) -> Self::Output

impl<M: Modulus + Copy> AddAssign<Modular<M>> for Modular<M>

fn add_assign(&mut self, rhs: Self)

impl<M: Modulus> BinaryOperation<Modular<M>, Add> for Modular<M>

fn operate(lhs: &Self, rhs: &Self) -> Self

impl<M: Modulus> BinaryOperation<Modular<M>, Mul> for Modular<M>

fn operate(lhs: &Self, rhs: &Self) -> Self

impl<M: Clone> Clone for Modular<M>

fn clone(&self) -> Modular<M>

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

impl<M: Debug> Debug for Modular<M>

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

impl<M> Display for Modular<M>

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

impl<M: Modulus + IsPrime> Div<Modular<M>> for Modular<M>

type Output = Self

fn div(self, rhs: Self) -> Self

impl<M: Modulus + IsPrime + Copy> DivAssign<Modular<M>> for Modular<M>

fn div_assign(&mut self, rhs: Self)

impl<M: Modulus> From<usize> for Modular<M>

fn from(value: usize) -> Self

impl<M: Modulus> Identity<Modular<M>, Add> for Modular<M>

fn identity() -> Self

impl<M: Modulus> Identity<Modular<M>, Mul> for Modular<M>

fn identity() -> Self

impl<M: Modulus> Mul<Modular<M>> for Modular<M>

type Output = Self

fn mul(self, rhs: Self) -> Self

impl<M: Modulus + Copy> MulAssign<Modular<M>> for Modular<M>

fn mul_assign(&mut self, rhs: Self)

impl<M: Modulus> Neg for Modular<M>

type Output = Self

fn neg(self) -> Self::Output

impl<M: PartialEq> PartialEq<Modular<M>> for Modular<M>

fn eq(&self, other: &Modular<M>) -> bool

fn ne(&self, other: &Modular<M>) -> bool

impl<M: Modulus> Sub<Modular<M>> for Modular<M>

type Output = Self

fn sub(self, rhs: Self) -> Self

impl<M: Modulus + Copy> SubAssign<Modular<M>> for Modular<M>

fn sub_assign(&mut self, rhs: Self)

impl<M: Modulus> Associative<Modular<M>, Add> for Modular<M>

impl<M: Modulus> Associative<Modular<M>, Mul> for Modular<M>

impl<M: Copy> Copy for Modular<M>

impl<M: Eq> Eq for Modular<M>

impl<M> StructuralEq for Modular<M>

impl<M> StructuralPartialEq for Modular<M>

Auto Trait Implementations

impl<M> RefUnwindSafe for Modular<M> where M: RefUnwindSafe,

impl<M> Send for Modular<M> where M: Send,

impl<M> Sync for Modular<M> where M: Sync,

impl<M> Unpin for Modular<M> where M: Unpin,

impl<M> UnwindSafe for Modular<M> where M: UnwindSafe,

Blanket Implementations

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

fn type_id(&self) -> TypeId

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

fn borrow(&self) -> &T

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

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

impl<T> From<T> for T

fn from(t: T) -> T

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

fn into(self) -> U

impl<S, T, M> Power<S, T> for M where M: Monoid<S, T>,

fn pow(value: &S, exponent: usize) -> S

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

impl<M> RefUnwindSafe for Modular<M> where
M: RefUnwindSafe,

impl<M> Send for Modular<M> where
M: Send,

impl<M> Sync for Modular<M> where
M: Sync,

impl<M> Unpin for Modular<M> where
M: Unpin,

impl<M> UnwindSafe for Modular<M> where
M: UnwindSafe,

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

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

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

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

impl<S, T, M> Power<S, T> for M where
M: Monoid<S, T>,

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

impl<T> ToString for T where
T: Display + ?Sized,

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

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

impl<V, T> VZip<V> for T where
V: MultiLane<T>,

impl<S, T, U> Magma<S, T> for U where
U: BinaryOperation<S, T>,

impl<S, T, U> Monoid<S, T> for U where
U: Semigroup<S, T> + Identity<S, T>,

impl<S, T, U> Semigroup<S, T> for U where
U: Magma<S, T> + Associative<S, T>,