Struct TypedVector2D

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#[repr(C)]
pub struct TypedVector2D<T, U> { pub x: T, pub y: T, /* private fields */ }
Expand description

A 2d Vector tagged with a unit.

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§x: T§y: T

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impl<T, U> TypedVector2D<T, U>
where T: Copy + Zero,

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pub fn zero() -> TypedVector2D<T, U>

Constructor, setting all components to zero.

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pub fn to_3d(&self) -> TypedVector3D<T, U>

Convert into a 3d vector.

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impl<T, U> TypedVector2D<T, U>

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pub fn new(x: T, y: T) -> TypedVector2D<T, U>

Constructor taking scalar values directly.

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impl<T, U> TypedVector2D<T, U>
where T: Copy,

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pub fn from_lengths(x: Length<T, U>, y: Length<T, U>) -> TypedVector2D<T, U>

Constructor taking properly typed Lengths instead of scalar values.

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pub fn extend(&self, z: T) -> TypedVector3D<T, U>

Create a 3d vector from this one, using the specified z value.

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pub fn to_point(&self) -> TypedPoint2D<T, U>

Cast this vector into a point.

Equivalent to adding this vector to the origin.

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pub fn yx(&self) -> TypedVector2D<T, U>

Swap x and y.

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pub fn to_size(&self) -> TypedSize2D<T, U>

Cast this vector into a size.

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pub fn x_typed(&self) -> Length<T, U>

Returns self.x as a Length carrying the unit.

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pub fn y_typed(&self) -> Length<T, U>

Returns self.y as a Length carrying the unit.

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pub fn to_untyped(&self) -> TypedVector2D<T, UnknownUnit>

Drop the units, preserving only the numeric value.

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pub fn from_untyped(p: &TypedVector2D<T, UnknownUnit>) -> TypedVector2D<T, U>

Tag a unit-less value with units.

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pub fn cast_unit<V>(&self) -> TypedVector2D<T, V>

Cast the unit

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pub fn to_array(&self) -> [T; 2]

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pub fn to_tuple(&self) -> (T, T)

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impl<T, U> TypedVector2D<T, U>
where T: Add<Output = T> + Mul<Output = T> + Div<Output = T> + Copy + Sub<Output = T> + Clone + Trig + PartialOrd + One + Zero,

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pub fn to_transform(&self) -> TypedTransform2D<T, U, U>

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impl<T, U> TypedVector2D<T, U>
where T: Trig + Copy + Sub<Output = T>,

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pub fn angle_from_x_axis(&self) -> Angle<T>

Returns the angle between this vector and the x axis between -PI and PI.

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impl<T, U> TypedVector2D<T, U>
where T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Copy,

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pub fn dot(self, other: TypedVector2D<T, U>) -> T

Dot product.

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pub fn cross(self, other: TypedVector2D<T, U>) -> T

Returns the norm of the cross product [self.x, self.y, 0] x [other.x, other.y, 0]..

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pub fn normalize(self) -> TypedVector2D<T, U>
where T: Float,

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pub fn robust_normalize(self) -> TypedVector2D<T, U>
where T: Float,

Return the normalized vector even if the length is larger than the max value of Float.

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pub fn square_length(&self) -> T

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

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impl<T, U> TypedVector2D<T, U>
where T: One + Add<Output = T> + Sub<Output = T> + Mul<Output = T> + Copy,

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pub fn lerp(&self, other: TypedVector2D<T, U>, t: T) -> TypedVector2D<T, U>

Linearly interpolate between this vector and another vector.

t is expected to be between zero and one.

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impl<T, U> TypedVector2D<T, U>
where T: Float,

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pub fn min(self, other: TypedVector2D<T, U>) -> TypedVector2D<T, U>

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pub fn max(self, other: TypedVector2D<T, U>) -> TypedVector2D<T, U>

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pub fn clamp( &self, start: TypedVector2D<T, U>, end: TypedVector2D<T, U>, ) -> TypedVector2D<T, U>

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impl<T, U> TypedVector2D<T, U>
where T: Round,

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pub fn round(&self) -> TypedVector2D<T, U>

Rounds each component to the nearest integer value.

This behavior is preserved for negative values (unlike the basic cast). For example { -0.1, -0.8 }.round() == { 0.0, -1.0 }.

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impl<T, U> TypedVector2D<T, U>
where T: Ceil,

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pub fn ceil(&self) -> TypedVector2D<T, U>

Rounds each component to the smallest integer equal or greater than the original value.

This behavior is preserved for negative values (unlike the basic cast). For example { -0.1, -0.8 }.ceil() == { 0.0, 0.0 }.

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impl<T, U> TypedVector2D<T, U>
where T: Floor,

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pub fn floor(&self) -> TypedVector2D<T, U>

Rounds each component to the biggest integer equal or lower than the original value.

This behavior is preserved for negative values (unlike the basic cast). For example { -0.1, -0.8 }.floor() == { -1.0, -1.0 }.

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impl<T, U> TypedVector2D<T, U>
where T: NumCast + Copy,

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pub fn cast<NewT>(&self) -> TypedVector2D<NewT, U>
where NewT: NumCast + Copy,

Cast from one numeric representation to another, preserving the units.

When casting from floating vector to integer coordinates, the decimals are truncated as one would expect from a simple cast, but this behavior does not always make sense geometrically. Consider using round(), ceil() or floor() before casting.

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pub fn try_cast<NewT>(&self) -> Option<TypedVector2D<NewT, U>>
where NewT: NumCast + Copy,

Fallible cast from one numeric representation to another, preserving the units.

When casting from floating vector to integer coordinates, the decimals are truncated as one would expect from a simple cast, but this behavior does not always make sense geometrically. Consider using round(), ceil() or floor() before casting.

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pub fn to_f32(&self) -> TypedVector2D<f32, U>

Cast into an f32 vector.

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pub fn to_f64(&self) -> TypedVector2D<f64, U>

Cast into an f64 vector.

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pub fn to_usize(&self) -> TypedVector2D<usize, U>

Cast into an usize vector, truncating decimals if any.

When casting from floating vector vectors, it is worth considering whether to round(), ceil() or floor() before the cast in order to obtain the desired conversion behavior.

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pub fn to_u32(&self) -> TypedVector2D<u32, U>

Cast into an u32 vector, truncating decimals if any.

When casting from floating vector vectors, it is worth considering whether to round(), ceil() or floor() before the cast in order to obtain the desired conversion behavior.

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pub fn to_i32(&self) -> TypedVector2D<i32, U>

Cast into an i32 vector, truncating decimals if any.

When casting from floating vector vectors, it is worth considering whether to round(), ceil() or floor() before the cast in order to obtain the desired conversion behavior.

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pub fn to_i64(&self) -> TypedVector2D<i64, U>

Cast into an i64 vector, truncating decimals if any.

When casting from floating vector vectors, it is worth considering whether to round(), ceil() or floor() before the cast in order to obtain the desired conversion behavior.

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impl<T, U> TypedVector2D<T, U>
where T: Signed,

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pub fn abs(&self) -> TypedVector2D<T, U>

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impl<T, U> TypedVector2D<T, U>
where T: PartialOrd,

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pub fn greater_than(&self, other: &TypedVector2D<T, U>) -> BoolVector2D

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pub fn lower_than(&self, other: &TypedVector2D<T, U>) -> BoolVector2D

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impl<T, U> TypedVector2D<T, U>
where T: PartialEq,

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pub fn equal(&self, other: &TypedVector2D<T, U>) -> BoolVector2D

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pub fn not_equal(&self, other: &TypedVector2D<T, U>) -> BoolVector2D

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impl<T, U> Add<TypedVector2D<T, U>> for TypedPoint2D<T, U>
where T: Copy + Add<Output = T>,

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type Output = TypedPoint2D<T, U>

The resulting type after applying the + operator.
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fn add(self, other: TypedVector2D<T, U>) -> TypedPoint2D<T, U>

Performs the + operation. Read more
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impl<T, U> Add for TypedVector2D<T, U>
where T: Copy + Add<Output = T>,

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type Output = TypedVector2D<T, U>

The resulting type after applying the + operator.
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fn add(self, other: TypedVector2D<T, U>) -> TypedVector2D<T, U>

Performs the + operation. Read more
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impl<T, U> AddAssign<TypedVector2D<T, U>> for TypedPoint2D<T, U>
where T: Copy + Add<Output = T>,

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fn add_assign(&mut self, other: TypedVector2D<T, U>)

Performs the += operation. Read more
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impl<T, U> AddAssign for TypedVector2D<T, U>
where T: Copy + Add<Output = T>,

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fn add_assign(&mut self, other: TypedVector2D<T, U>)

Performs the += operation. Read more
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impl<T, U> ApproxEq<TypedVector2D<T, U>> for TypedVector2D<T, U>
where T: Copy + ApproxEq<T>,

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fn approx_epsilon() -> TypedVector2D<T, U>

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fn approx_eq(&self, other: &TypedVector2D<T, U>) -> bool

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fn approx_eq_eps( &self, other: &TypedVector2D<T, U>, eps: &TypedVector2D<T, U>, ) -> bool

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impl<T, U> Clone for TypedVector2D<T, U>
where T: Clone,

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fn clone(&self) -> TypedVector2D<T, U>

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, U> Debug for TypedVector2D<T, U>
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, U> Default for TypedVector2D<T, U>
where T: Default,

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fn default() -> TypedVector2D<T, U>

Returns the “default value” for a type. Read more
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impl<T, U> Display for TypedVector2D<T, U>
where T: Display,

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fn fmt(&self, formatter: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
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impl<T, U> Div<T> for TypedVector2D<T, U>
where T: Copy + Div<Output = T>,

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type Output = TypedVector2D<T, U>

The resulting type after applying the / operator.
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fn div(self, scale: T) -> TypedVector2D<T, U>

Performs the / operation. Read more
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impl<T, U1, U2> Div<TypedScale<T, U1, U2>> for TypedVector2D<T, U2>
where T: Copy + Div<Output = T>,

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type Output = TypedVector2D<T, U1>

The resulting type after applying the / operator.
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fn div( self, scale: TypedScale<T, U1, U2>, ) -> <TypedVector2D<T, U2> as Div<TypedScale<T, U1, U2>>>::Output

Performs the / operation. Read more
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impl<T, U> DivAssign<T> for TypedVector2D<T, U>
where T: Copy + Div<Output = T>,

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fn div_assign(&mut self, scale: T)

Performs the /= operation. Read more
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impl<'l> From<&'l TypedVector2D<f32, UnknownUnit>> for Variant

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fn from(val: &'l TypedVector2D<f32, UnknownUnit>) -> Variant

Converts to this type from the input type.
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impl<T, U> From<[T; 2]> for TypedVector2D<T, U>
where T: Copy,

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fn from(array: [T; 2]) -> TypedVector2D<T, U>

Converts to this type from the input type.
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impl<T, U> From<(T, T)> for TypedVector2D<T, U>
where T: Copy,

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fn from(tuple: (T, T)) -> TypedVector2D<T, U>

Converts to this type from the input type.
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impl<T, Src, Dst> From<TypedVector2D<T, Src>> for TypedTranslation2D<T, Src, Dst>
where T: Copy,

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fn from(v: TypedVector2D<T, Src>) -> TypedTranslation2D<T, Src, Dst>

Converts to this type from the input type.
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impl<T, U> From<TypedVector2D<T, U>> for HomogeneousVector<T, U>
where T: Zero,

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fn from(v: TypedVector2D<T, U>) -> HomogeneousVector<T, U>

Converts to this type from the input type.
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impl<T, U> Hash for TypedVector2D<T, U>
where T: Hash,

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fn hash<H>(&self, h: &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, U> Into<[T; 2]> for TypedVector2D<T, U>
where T: Copy,

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fn into(self) -> [T; 2]

Converts this type into the (usually inferred) input type.
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impl<T, U> Into<(T, T)> for TypedVector2D<T, U>
where T: Copy,

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fn into(self) -> (T, T)

Converts this type into the (usually inferred) input type.
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impl<T, Src, Dst> Into<TypedVector2D<T, Src>> for TypedTranslation2D<T, Src, Dst>
where T: Copy,

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fn into(self) -> TypedVector2D<T, Src>

Converts this type into the (usually inferred) input type.
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impl<T, U> Mul<T> for TypedVector2D<T, U>
where T: Copy + Mul<Output = T>,

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type Output = TypedVector2D<T, U>

The resulting type after applying the * operator.
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fn mul(self, scale: T) -> TypedVector2D<T, U>

Performs the * operation. Read more
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impl<T, U1, U2> Mul<TypedScale<T, U1, U2>> for TypedVector2D<T, U1>
where T: Copy + Mul<Output = T>,

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type Output = TypedVector2D<T, U2>

The resulting type after applying the * operator.
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fn mul( self, scale: TypedScale<T, U1, U2>, ) -> <TypedVector2D<T, U1> as Mul<TypedScale<T, U1, U2>>>::Output

Performs the * operation. Read more
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impl<T, U> MulAssign<T> for TypedVector2D<T, U>
where T: Copy + Mul<Output = T>,

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fn mul_assign(&mut self, scale: T)

Performs the *= operation. Read more
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impl<T, U> Neg for TypedVector2D<T, U>
where T: Copy + Neg<Output = T>,

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type Output = TypedVector2D<T, U>

The resulting type after applying the - operator.
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fn neg(self) -> TypedVector2D<T, U>

Performs the unary - operation. Read more
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impl<T, U> PartialEq for TypedVector2D<T, U>
where T: PartialEq,

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fn eq(&self, other: &TypedVector2D<T, U>) -> 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, U> Sub<TypedVector2D<T, U>> for TypedPoint2D<T, U>
where T: Copy + Sub<Output = T>,

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type Output = TypedPoint2D<T, U>

The resulting type after applying the - operator.
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fn sub(self, other: TypedVector2D<T, U>) -> TypedPoint2D<T, U>

Performs the - operation. Read more
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impl<T, U> Sub for TypedVector2D<T, U>
where T: Copy + Sub<Output = T>,

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type Output = TypedVector2D<T, U>

The resulting type after applying the - operator.
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fn sub(self, other: TypedVector2D<T, U>) -> TypedVector2D<T, U>

Performs the - operation. Read more
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impl<T, U> SubAssign<TypedVector2D<T, U>> for TypedPoint2D<T, U>
where T: Copy + Sub<Output = T>,

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fn sub_assign(&mut self, other: TypedVector2D<T, U>)

Performs the -= operation. Read more
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impl<T, U> SubAssign for TypedVector2D<T, U>
where T: Copy + Sub<Output = T>,

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fn sub_assign(&mut self, other: TypedVector2D<T, U>)

Performs the -= operation. Read more
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impl ToVariant for TypedVector2D<f32, UnknownUnit>

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impl<T, U> Copy for TypedVector2D<T, U>
where T: Copy,

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impl<T, U> Eq for TypedVector2D<T, U>
where T: Eq,

Auto Trait Implementations§

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impl<T, U> Freeze for TypedVector2D<T, U>
where T: Freeze,

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impl<T, U> RefUnwindSafe for TypedVector2D<T, U>

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impl<T, U> Send for TypedVector2D<T, U>
where T: Send, U: Send,

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impl<T, U> Sync for TypedVector2D<T, U>
where T: Sync, U: Sync,

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impl<T, U> Unpin for TypedVector2D<T, U>
where T: Unpin, U: Unpin,

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impl<T, U> UnwindSafe for TypedVector2D<T, U>
where T: UnwindSafe, U: 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> 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.