pub struct CompletedPoint {
    pub X: FieldElement51,
    pub Y: FieldElement51,
    pub Z: FieldElement51,
    pub T: FieldElement51,
}
Expand description

A CompletedPoint is a point \(((X:Z), (Y:T))\) on the \(\mathbb P^1 \times \mathbb P^1 \) model of the curve. A point (x,y) in the affine model corresponds to \( ((x:1),(y:1)) \).

More details on the relationships between the different curve models can be found in the module-level documentation.

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§X: FieldElement51§Y: FieldElement51§Z: FieldElement51§T: FieldElement51

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impl CompletedPoint

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pub fn as_projective(&self) -> ProjectivePoint

Convert this point from the \( \mathbb P^1 \times \mathbb P^1 \) model to the \( \mathbb P^2 \) model.

This costs \(3 \mathrm M \).

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pub fn as_extended(&self) -> EdwardsPoint

Convert this point from the \( \mathbb P^1 \times \mathbb P^1 \) model to the \( \mathbb P^3 \) model.

This costs \(4 \mathrm M \).

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impl Clone for CompletedPoint

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fn clone(&self) -> CompletedPoint

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 Debug for CompletedPoint

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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 Copy for CompletedPoint

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Blanket Implementations§

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impl<T> Any for Twhere 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 Twhere 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 Twhere 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> 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 Twhere 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> Same<T> for T

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type Output = T

Should always be Self
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impl<T> ToOwned for Twhere 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 Twhere 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 Twhere 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.