Struct EllipticCurve

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pub struct EllipticCurve {
    pub a: BigUint,
    pub b: BigUint,
    pub p: BigUint,
}
Expand description

This represents an elliptic curve of the form y^2 = x^3 + ax + b mod p

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§a: BigUint§b: BigUint§p: BigUint

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impl EllipticCurve

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pub fn add(&self, a: &Point, b: &Point) -> Result<Point, EllipticCurveError>

Perform a point addition: C = A + B where A and B are points which belong to the curve. Geometrically speaking, the point C is the x-reflection of the intersection of the lines that passes through A and B and intersects the curve.

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pub fn double(&self, a: &Point) -> Result<Point, EllipticCurveError>

Perform a point doubling: B = A + A = 2 * A where A is a point in the curve. Geometrically speaking, the point B is the intersection of the tangent line over A that intersects the curve.

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pub fn scalar_mul( &self, a: &Point, d: &BigUint, ) -> Result<Point, EllipticCurveError>

Perform a scalar multiplication of a point: B = d * A where A is a point in the curve and d > 0 is a positive scalar of any value.

It uses the addition/doubling algorithm

 T = A
 for i in [(bits of d)-1), 0]
      T = 2 * T
      if bit i of d == 1
          T = T + A
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pub fn is_on_curve(&self, a: &Point) -> bool

Checks if a point A = (x,y) belongs to the elliptic curve:

if y^2 = x^3 + a * x + b mod p then returns true, if not, returns false.

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impl Clone for EllipticCurve

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fn clone(&self) -> EllipticCurve

Returns a duplicate of the value. Read more
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const fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for EllipticCurve

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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 PartialEq for EllipticCurve

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

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

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.