Struct num_modular::MontgomeryInt

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pub struct MontgomeryInt<T: Integer + Montgomery> { /* private fields */ }

Expand description

An integer represented in Montgomery form.

Implementations

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impl<T: Integer + Montgomery> MontgomeryInt<T> where
T::Double: From<T>,

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pub fn new(n: T, m: T) -> Self

Convert n into the modulo ring ℤ/mℤ (i.e. n % m)

Trait Implementations

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impl<T: Integer + Montgomery> Add<MontgomeryInt<T>> for MontgomeryInt<T>

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<T: Clone + Integer + Montgomery> Clone for MontgomeryInt<T> where
T::Inv: Clone,

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fn clone(&self) -> MontgomeryInt<T>

Returns a copy of the value. Read more

1.0.0 · source

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

Performs copy-assignment from source. Read more

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impl<T: Debug + Integer + Montgomery> Debug for MontgomeryInt<T> where
T::Inv: Debug,

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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<T: Integer + Montgomery + Clone> ModularInteger for MontgomeryInt<T> where
T::Double: From<T>,
T::Inv: Clone,

type Base = T

The underlying representation type of the integer

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fn modulus(&self) -> &T

Return the modulus of the ring

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fn residue(&self) -> T

Return the normalized residue of this integer in the ring

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fn new(&self, n: T) -> Self

Convert an normal integer into the same ring. Read more

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impl<T: Integer + Montgomery> Mul<MontgomeryInt<T>> for MontgomeryInt<T>

type Output = Self

The resulting type after applying the * operator.

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

Performs the * operation. Read more

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impl<T: Integer + Montgomery> Neg for MontgomeryInt<T>

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<T: Integer + Montgomery> PartialEq<MontgomeryInt<T>> for MontgomeryInt<T>

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

This method tests for !=.

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impl<T: Integer + Montgomery> Pow<T> for MontgomeryInt<T>

type Output = Self

The result after applying the operator.

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fn pow(self, rhs: T) -> Self::Output

Returns self to the power rhs. Read more

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impl<T: Integer + Montgomery> Sub<MontgomeryInt<T>> for MontgomeryInt<T>

type Output = Self

The resulting type after applying the - operator.

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

Performs the - operation. Read more

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impl<T: Copy + Integer + Montgomery> Copy for MontgomeryInt<T> where
T::Inv: Copy,

Auto Trait Implementations

impl<T> RefUnwindSafe for MontgomeryInt<T> where
T: RefUnwindSafe,
<T as Montgomery>::Inv: RefUnwindSafe,

impl<T> Send for MontgomeryInt<T> where
T: Send,
<T as Montgomery>::Inv: Send,

impl<T> Sync for MontgomeryInt<T> where
T: Sync,
<T as Montgomery>::Inv: Sync,

impl<T> Unpin for MontgomeryInt<T> where
T: Unpin,
<T as Montgomery>::Inv: Unpin,

impl<T> UnwindSafe for MontgomeryInt<T> where
T: UnwindSafe,
<T as Montgomery>::Inv: 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,

const: unstable · source

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<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, 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.

Struct num_modular::MontgomeryInt

Implementations

impl<T: Integer + Montgomery> MontgomeryInt<T> where T::Double: From<T>,

pub fn new(n: T, m: T) -> Self

Trait Implementations

impl<T: Integer + Montgomery> Add<MontgomeryInt<T>> for MontgomeryInt<T>

type Output = Self

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

impl<T: Clone + Integer + Montgomery> Clone for MontgomeryInt<T> where T::Inv: Clone,

fn clone(&self) -> MontgomeryInt<T>

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

impl<T: Debug + Integer + Montgomery> Debug for MontgomeryInt<T> where T::Inv: Debug,

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

impl<T: Integer + Montgomery + Clone> ModularInteger for MontgomeryInt<T> where T::Double: From<T>, T::Inv: Clone,

type Base = T

fn modulus(&self) -> &T

fn residue(&self) -> T

fn new(&self, n: T) -> Self

impl<T: Integer + Montgomery> Mul<MontgomeryInt<T>> for MontgomeryInt<T>

type Output = Self

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

impl<T: Integer + Montgomery> Neg for MontgomeryInt<T>

type Output = Self

fn neg(self) -> Self::Output

impl<T: Integer + Montgomery> PartialEq<MontgomeryInt<T>> for MontgomeryInt<T>

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

fn ne(&self, other: &Rhs) -> bool

impl<T: Integer + Montgomery> Pow<T> for MontgomeryInt<T>

type Output = Self

fn pow(self, rhs: T) -> Self::Output

impl<T: Integer + Montgomery> Sub<MontgomeryInt<T>> for MontgomeryInt<T>

type Output = Self

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

impl<T: Copy + Integer + Montgomery> Copy for MontgomeryInt<T> where T::Inv: Copy,

Auto Trait Implementations

impl<T> RefUnwindSafe for MontgomeryInt<T> where T: RefUnwindSafe, <T as Montgomery>::Inv: RefUnwindSafe,

impl<T> Send for MontgomeryInt<T> where T: Send, <T as Montgomery>::Inv: Send,

impl<T> Sync for MontgomeryInt<T> where T: Sync, <T as Montgomery>::Inv: Sync,

impl<T> Unpin for MontgomeryInt<T> where T: Unpin, <T as Montgomery>::Inv: Unpin,

impl<T> UnwindSafe for MontgomeryInt<T> where T: UnwindSafe, <T as Montgomery>::Inv: 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<T> ToOwned for T where T: Clone,

type Owned = T

fn to_owned(&self) -> T

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

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

type Error = Infallible

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

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

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

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

impl<T: Integer + Montgomery> MontgomeryInt<T> where
T::Double: From<T>,

impl<T: Clone + Integer + Montgomery> Clone for MontgomeryInt<T> where
T::Inv: Clone,

impl<T: Debug + Integer + Montgomery> Debug for MontgomeryInt<T> where
T::Inv: Debug,

impl<T: Integer + Montgomery + Clone> ModularInteger for MontgomeryInt<T> where
T::Double: From<T>,
T::Inv: Clone,

impl<T: Copy + Integer + Montgomery> Copy for MontgomeryInt<T> where
T::Inv: Copy,

impl<T> RefUnwindSafe for MontgomeryInt<T> where
T: RefUnwindSafe,
<T as Montgomery>::Inv: RefUnwindSafe,

impl<T> Send for MontgomeryInt<T> where
T: Send,
<T as Montgomery>::Inv: Send,

impl<T> Sync for MontgomeryInt<T> where
T: Sync,
<T as Montgomery>::Inv: Sync,

impl<T> Unpin for MontgomeryInt<T> where
T: Unpin,
<T as Montgomery>::Inv: Unpin,

impl<T> UnwindSafe for MontgomeryInt<T> where
T: UnwindSafe,
<T as Montgomery>::Inv: 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<T> ToOwned for T where
T: Clone,

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

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