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Modular

Struct Modular 

pub struct Modular { /* private fields */ }
Expand description

A normalized modular residue paired with its positive modulus.

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impl Modular

pub fn new(value: i64, modulus: i64) -> Option<Modular>

Creates a normalized modular value.

Returns None when modulus <= 0.

pub const fn value(self) -> i64

Returns the normalized residue in 0..modulus.

pub const fn modulus(self) -> i64

Returns the positive modulus carried by this value.

pub fn add(self, other: Modular) -> Option<Modular>

Adds two modular values with the same modulus.

Returns None when the moduli differ.

pub fn sub(self, other: Modular) -> Option<Modular>

Subtracts two modular values with the same modulus.

Returns None when the moduli differ.

pub fn mul(self, other: Modular) -> Option<Modular>

Multiplies two modular values with the same modulus.

Returns None when the moduli differ.

pub fn pow(self, exponent: u64) -> Option<Modular>

Raises the modular value to exponent using modular exponentiation.

pub fn inverse(self) -> Option<Modular>

Computes the multiplicative inverse when one exists.

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impl Clone for Modular

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fn clone(&self) -> Modular

Returns a duplicate 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 Debug for Modular

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

Formats the value using the given formatter. Read more
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impl PartialEq for Modular

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fn eq(&self, other: &Modular) -> 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 Copy for Modular

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impl Eq for Modular

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impl StructuralPartialEq for Modular

Auto Trait Implementations§

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, 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<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> 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.