Struct Point

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pub struct Point<T> {
    pub x: T,
    pub y: T,
}
Expand description

A 2D points.

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§x: T

The x-coordinate of the point

§y: T

The y-coordinate of the point

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impl<T> Point<T>

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pub fn new(x: T, y: T) -> Point<T>

Construct new points

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impl<T> Point<T>

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pub fn ref_inner(&self) -> Point<&T>

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impl<T> Point<T>
where T: Num + Clone,

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pub fn norm(&self) -> T
where T: Float,

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pub fn cross_dot(&self, a: &Point<T>, b: &Point<T>) -> T

\vec{PA}\times\vec{PB} = (a_x-b_x)*(p_y-b_y)-(p_x-b_x)*(a_y-b_y)

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impl<T, V> Add<V> for Point<T>
where Point<T>: From<V>, T: Add<Output = T>,

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type Output = Point<T>

The resulting type after applying the + operator.
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fn add(self, rhs: V) -> <Point<T> as Add<V>>::Output

Performs the + operation. Read more
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impl<T> Clone for Point<T>
where T: Clone,

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fn clone(&self) -> Point<T>

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<T> Debug for Point<T>
where T: Debug,

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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<T> Default for Point<T>
where T: Zero,

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fn default() -> Point<T>

Returns the “default value” for a type. Read more
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impl<T> Display for Point<T>
where T: Display,

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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<T> EuclideanDistance<T> for Point<T>
where T: Real,

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fn euclidean_distance(&self, c: &Point<T>) -> T

Minimum distance between two Coords

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fn euclidean_squared(&self, rhs: &Point<T>) -> T

It is especially suitable when only the length needs to be compared Read more
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impl<T> EuclideanDistance<T, Circle<T>> for Point<T>
where T: Float,

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fn euclidean_distance(&self, rhs: &Circle<T>) -> T

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fn euclidean_squared(&self, rhs: &Circle<T>) -> T

It is especially suitable when only the length needs to be compared Read more
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impl<T> EuclideanDistance<T, Line<T>> for Point<T>
where T: Float,

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fn euclidean_distance(&self, rhs: &Line<T>) -> T

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fn euclidean_squared(&self, rhs: &Line<T>) -> T

It is especially suitable when only the length needs to be compared Read more
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impl<T> EuclideanDistance<T, PointSet<T>> for Point<T>
where T: Float + PartialOrd,

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fn euclidean_squared(&self, rhs: &PointSet<T>) -> T

适合单次查询最近的点

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fn euclidean_distance(&self, rhs: &PointSet<T>) -> T

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impl<T> EuclideanDistance<T, Triangle<T>> for Point<T>
where T: Float,

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fn euclidean_distance(&self, rhs: &Triangle<T>) -> T

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fn euclidean_squared(&self, rhs: &Triangle<T>) -> T

It is especially suitable when only the length needs to be compared Read more
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impl<T> From<&Point<T>> for Point<T>
where T: Clone,

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fn from(point: &Point<T>) -> Point<T>

Converts to this type from the input type.
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impl<T> From<[T; 2]> for Point<T>

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fn from(_: [T; 2]) -> Point<T>

Converts to this type from the input type.
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impl<T> From<(T, T)> for Point<T>

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fn from(_: (T, T)) -> Point<T>

Converts to this type from the input type.
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impl<T> From<Point<&T>> for Point<T>
where T: Clone,

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fn from(point: Point<&T>) -> Point<T>

Converts to this type from the input type.
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impl<T> Hash for Point<T>
where T: Hash,

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fn hash<__H>(&self, state: &mut __H)
where __H: Hasher,

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<T> ManhattanDistance<T> for Point<T>
where T: Clone + Sub<Output = T> + Add<Output = T> + PartialOrd,

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fn manhattan_distance(&self, rhs: &Point<T>) -> T

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impl<T> Neg for Point<T>
where T: Neg<Output = T>,

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type Output = Point<T>

The resulting type after applying the - operator.
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fn neg(self) -> <Point<T> as Neg>::Output

Performs the unary - operation. Read more
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impl<T> PartialEq for Point<T>
where T: PartialEq,

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fn eq(&self, other: &Point<T>) -> 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<T> Projective<T> for Point<T>
where T: Real,

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fn transform(&mut self, matrix: &[&T; 9])

Transform by a 3×3 matrix. Read more
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fn translate(&mut self, x: &T, y: &T)

Transform by length $\delta x, \delta y$. Read more
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fn translate_x(&mut self, x: &T)

Transform by length $\delta x$. Read more
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fn translate_y(&mut self, y: &T)

Transform by length $\delta y$. Read more
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fn rotate(&mut self, angle: &T)

Transform by rotate degree $\alpha$. Read more
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fn rotate_point(&mut self, point: &[&T; 2], angle: &T)

Transform by rotate with a point $\alpha$. Read more
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fn scale(&mut self, x: &T, y: &T)

Transform by scale $x, y$. Read more
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fn scale_x(&mut self, x: &T)

Transform by scale $x$. Read more
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fn scale_y(&mut self, y: &T)

Transform by scale $y$. Read more
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fn reflect(&mut self, x: &T, y: &T)

Transform by skew $x, y$.
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fn reflect_x(&mut self)

Transform by skew $x$.
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fn reflect_y(&mut self)

Transform by skew $y$.
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fn skew(&mut self, a: &T, b: &T)

Transform by angle $\alpha, \beta$. Read more
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fn skew_x(&mut self, a: &T)

Transform by angle $\alpha$. Read more
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fn skew_y(&mut self, b: &T)

Transform by angle $\beta$. Read more
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impl<T, V> Sub<V> for Point<T>
where Point<T>: From<V>, T: Sub<Output = T>,

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type Output = Point<T>

The resulting type after applying the - operator.
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fn sub(self, rhs: V) -> <Point<T> as Sub<V>>::Output

Performs the - operation. Read more
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impl<T> Copy for Point<T>
where T: Copy,

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impl<T> Eq for Point<T>
where T: Eq,

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impl<T> StructuralPartialEq for Point<T>

Auto Trait Implementations§

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impl<T> Freeze for Point<T>
where T: Freeze,

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impl<T> RefUnwindSafe for Point<T>
where T: RefUnwindSafe,

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impl<T> Send for Point<T>
where T: Send,

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impl<T> Sync for Point<T>
where T: Sync,

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impl<T> Unpin for Point<T>
where T: Unpin,

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impl<T> UnwindSafe for Point<T>
where T: UnwindSafe,

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> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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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> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. 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.