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

A `ProjectivePoint`

is a point \((X:Y:Z)\) on the \(\mathbb
P^2\) model of the curve.
A point \((x,y)\) in the affine model corresponds to
\((x:y:1)\).

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

## Fields

`X: FieldElement51`

`Y: FieldElement51`

`Z: FieldElement51`

## Methods

`impl ProjectivePoint`

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`pub fn to_extended(&self) -> EdwardsPoint`

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Convert this point from the \( \mathbb P^2 \) model to the \( \mathbb P^3 \) model.

This costs \(3 \mathrm M + 1 \mathrm S\).

`impl ProjectivePoint`

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`pub fn double(&self) -> CompletedPoint`

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Double this point: return self + self

## Trait Implementations

`impl Identity for ProjectivePoint`

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`fn identity() -> ProjectivePoint`

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`impl ValidityCheck for ProjectivePoint`

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`impl Clone for ProjectivePoint`

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`fn clone(&self) -> ProjectivePoint`

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

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Performs copy-assignment from `source`

. Read more

`impl Debug for ProjectivePoint`

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`impl Copy for ProjectivePoint`

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## Auto Trait Implementations

`impl Send for ProjectivePoint`

`impl Sync for ProjectivePoint`

## Blanket Implementations

`impl<T> From for T`

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`impl<T, U> TryFrom for T where`

U: Into<T>,

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U: Into<T>,

`type Error = !`

🔬 This is a nightly-only experimental API. (

`try_from`

)The type returned in the event of a conversion error.

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

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`impl<T, U> TryInto for T where`

U: TryFrom<T>,

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U: TryFrom<T>,

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

🔬 This is a nightly-only experimental API. (

`try_from`

)The type returned in the event of a conversion error.

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

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`impl<T, U> Into for T where`

U: From<T>,

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U: From<T>,

`impl<T> Borrow for T where`

T: ?Sized,

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T: ?Sized,

`impl<T> BorrowMut for T where`

T: ?Sized,

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T: ?Sized,

`fn borrow_mut(&mut self) -> &mut T`

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`impl<T> Any for T where`

T: 'static + ?Sized,

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T: 'static + ?Sized,

`impl<T> ToOwned for T where`

T: Clone,

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T: Clone,

`impl<T> FromCast for T`

`fn from_cast(t: T) -> T`

`impl<T, U> Cast for T where`

U: FromCast<T>,

U: FromCast<T>,

`fn cast(self) -> U`

`impl<T, U> IntoBits for T where`

U: FromBits<T>,

U: FromBits<T>,

`fn into_bits(self) -> U`

`impl<T> FromBits for T`

`fn from_bits(t: T) -> T`

`impl<T> Same for T`

`type Output = T`

Should always be `Self`