# [−][src]Struct curve25519_dalek::backend::serial::curve_models::CompletedPoint

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

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.

## Fields

X: FieldElement51Y: FieldElement51Z: FieldElement51T: FieldElement51

## Methods

### impl CompletedPoint[src]

#### pub fn to_projective(&self) -> ProjectivePoint[src]

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

This costs $$3 \mathrm M$$.

#### pub fn to_extended(&self) -> EdwardsPoint[src]

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

This costs $$4 \mathrm M$$.

## Blanket Implementations

### impl<T> Same<T> for T

#### type Output = T

Should always be Self

### impl<T> ToOwned for T where    T: Clone, [src]

#### type Owned = T

The resulting type after obtaining ownership.

### impl<T, U> TryFrom<U> for T where    U: Into<T>, [src]

#### type Error = !

The type returned in the event of a conversion error.

### impl<T, U> TryInto<U> for T where    U: TryFrom<T>, [src]

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

The type returned in the event of a conversion error.