emath

Struct Vec2

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#[repr(C)]
pub struct Vec2 { pub x: f32, pub y: f32, }
Expand description

A vector has a direction and length. A Vec2 is often used to represent a size.

emath represents positions using crate::Pos2.

Normally the units are points (logical pixels).

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§x: f32

Rightwards. Width.

§y: f32

Downwards. Height.

Implementations§

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impl Vec2

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pub const X: Self = _

Right

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pub const Y: Self = _

Down

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pub const RIGHT: Self = _

+X

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pub const LEFT: Self = _

-X

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pub const UP: Self = _

-Y

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pub const DOWN: Self = _

+Y

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pub const ZERO: Self = _

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pub const INFINITY: Self = _

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pub const NAN: Self = _

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pub const fn new(x: f32, y: f32) -> Self

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pub const fn splat(v: f32) -> Self

Set both x and y to the same value.

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pub fn to_pos2(self) -> Pos2

Treat this vector as a position. v.to_pos2() is equivalent to Pos2::default() + v.

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pub fn normalized(self) -> Self

Safe normalize: returns zero if input is zero.

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pub fn rot90(self) -> Self

Rotates the vector by 90°, i.e positive X to positive Y (clockwise in egui coordinates).

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pub fn length(self) -> f32

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pub fn length_sq(self) -> f32

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pub fn angle(self) -> f32

Measures the angle of the vector.

use std::f32::consts::TAU;

assert_eq!(Vec2::ZERO.angle(), 0.0);
assert_eq!(Vec2::angled(0.0).angle(), 0.0);
assert_eq!(Vec2::angled(1.0).angle(), 1.0);
assert_eq!(Vec2::X.angle(), 0.0);
assert_eq!(Vec2::Y.angle(), 0.25 * TAU);

assert_eq!(Vec2::RIGHT.angle(), 0.0);
assert_eq!(Vec2::DOWN.angle(), 0.25 * TAU);
assert_eq!(Vec2::UP.angle(), -0.25 * TAU);
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pub fn angled(angle: f32) -> Self

Create a unit vector with the given CW angle (in radians).

  • An angle of zero gives the unit X axis.
  • An angle of 𝞃/4 = 90° gives the unit Y axis.
use std::f32::consts::TAU;

assert_eq!(Vec2::angled(0.0), Vec2::X);
assert!((Vec2::angled(0.25 * TAU) - Vec2::Y).length() < 1e-5);
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pub fn floor(self) -> Self

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pub fn round(self) -> Self

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pub fn ceil(self) -> Self

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pub fn abs(self) -> Self

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pub fn is_finite(self) -> bool

True if all members are also finite.

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pub fn any_nan(self) -> bool

True if any member is NaN.

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pub fn min(self, other: Self) -> Self

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pub fn max(self, other: Self) -> Self

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pub fn dot(self, other: Self) -> f32

The dot-product of two vectors.

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pub fn min_elem(self) -> f32

Returns the minimum of self.x and self.y.

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pub fn max_elem(self) -> f32

Returns the maximum of self.x and self.y.

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pub fn yx(self) -> Self

Swizzle the axes.

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pub fn clamp(self, min: Self, max: Self) -> Self

Trait Implementations§

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impl Add<Vec2> for Pos2

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type Output = Pos2

The resulting type after applying the + operator.
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fn add(self, rhs: Vec2) -> Self

Performs the + operation. Read more
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impl Add for Vec2

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type Output = Vec2

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self

Performs the + operation. Read more
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impl AddAssign<Vec2> for Pos2

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fn add_assign(&mut self, rhs: Vec2)

Performs the += operation. Read more
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impl AddAssign for Vec2

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more
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impl Clone for Vec2

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fn clone(&self) -> Vec2

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 Vec2

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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 Default for Vec2

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fn default() -> Vec2

Returns the “default value” for a type. Read more
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impl<'de> Deserialize<'de> for Vec2

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fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl Display for Vec2

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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 Div<f32> for Vec2

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type Output = Vec2

The resulting type after applying the / operator.
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fn div(self, factor: f32) -> Self

Performs the / operation. Read more
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impl Div for Vec2

Element-wise division

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type Output = Vec2

The resulting type after applying the / operator.
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fn div(self, rhs: Self) -> Self

Performs the / operation. Read more
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impl DivAssign<f32> for Vec2

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fn div_assign(&mut self, rhs: f32)

Performs the /= operation. Read more
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impl From<&[f32; 2]> for Vec2

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fn from(v: &[f32; 2]) -> Self

Converts to this type from the input type.
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impl From<&(f32, f32)> for Vec2

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fn from(v: &(f32, f32)) -> Self

Converts to this type from the input type.
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impl From<&Vec2> for [f32; 2]

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fn from(v: &Vec2) -> Self

Converts to this type from the input type.
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impl From<&Vec2> for (f32, f32)

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fn from(v: &Vec2) -> Self

Converts to this type from the input type.
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impl From<[f32; 2]> for Vec2

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fn from(v: [f32; 2]) -> Self

Converts to this type from the input type.
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impl From<(f32, f32)> for Vec2

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fn from(v: (f32, f32)) -> Self

Converts to this type from the input type.
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impl From<Vec2> for [f32; 2]

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fn from(v: Vec2) -> Self

Converts to this type from the input type.
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impl From<Vec2> for (f32, f32)

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fn from(v: Vec2) -> Self

Converts to this type from the input type.
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impl From<Vec2> for Vector2<f32>

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fn from(v: Vec2) -> Self

Converts to this type from the input type.
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impl From<Vec2b> for Vec2

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fn from(v: Vec2b) -> Self

Converts to this type from the input type.
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impl From<Vector2<f32>> for Vec2

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fn from(v: Vector2<f32>) -> Self

Converts to this type from the input type.
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impl Index<usize> for Vec2

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type Output = f32

The returned type after indexing.
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fn index(&self, index: usize) -> &f32

Performs the indexing (container[index]) operation. Read more
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impl IndexMut<usize> for Vec2

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fn index_mut(&mut self, index: usize) -> &mut f32

Performs the mutable indexing (container[index]) operation. Read more
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impl Mul<Vec2> for Rot2

Rotates (and maybe scales) the vector.

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type Output = Vec2

The resulting type after applying the * operator.
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fn mul(self, v: Vec2) -> Vec2

Performs the * operation. Read more
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impl Mul<Vec2> for f32

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type Output = Vec2

The resulting type after applying the * operator.
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fn mul(self, vec: Vec2) -> Vec2

Performs the * operation. Read more
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impl Mul<f32> for Vec2

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type Output = Vec2

The resulting type after applying the * operator.
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fn mul(self, factor: f32) -> Self

Performs the * operation. Read more
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impl Mul for Vec2

Element-wise multiplication

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type Output = Vec2

The resulting type after applying the * operator.
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fn mul(self, vec: Self) -> Self

Performs the * operation. Read more
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impl MulAssign<f32> for Vec2

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fn mul_assign(&mut self, rhs: f32)

Performs the *= operation. Read more
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impl Neg for Vec2

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type Output = Vec2

The resulting type after applying the - operator.
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fn neg(self) -> Self

Performs the unary - operation. Read more
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impl NumExt for Vec2

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fn at_least(self, lower_limit: Self) -> Self

More readable version of self.max(lower_limit)
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fn at_most(self, upper_limit: Self) -> Self

More readable version of self.min(upper_limit)
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impl PartialEq for Vec2

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fn eq(&self, other: &Vec2) -> 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 Serialize for Vec2

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fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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impl Sub<Vec2> for Pos2

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type Output = Pos2

The resulting type after applying the - operator.
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fn sub(self, rhs: Vec2) -> Self

Performs the - operation. Read more
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impl Sub for Vec2

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type Output = Vec2

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self

Performs the - operation. Read more
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impl SubAssign<Vec2> for Pos2

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fn sub_assign(&mut self, rhs: Vec2)

Performs the -= operation. Read more
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impl SubAssign for Vec2

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more
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impl Zeroable for Vec2

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fn zeroed() -> Self

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impl Copy for Vec2

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impl Eq for Vec2

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impl Pod for Vec2

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impl StructuralPartialEq for Vec2

Auto Trait Implementations§

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impl Freeze for Vec2

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impl RefUnwindSafe for Vec2

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impl Send for Vec2

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impl Sync for Vec2

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impl Unpin for Vec2

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impl UnwindSafe for Vec2

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> CheckedBitPattern for T
where T: AnyBitPattern,

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type Bits = T

Self must have the same layout as the specified Bits except for the possible invalid bit patterns being checked during is_valid_bit_pattern.
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fn is_valid_bit_pattern(_bits: &T) -> bool

If this function returns true, then it must be valid to reinterpret bits as &Self.
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. 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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default 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.
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impl<T> AnyBitPattern for T
where T: Pod,

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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

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impl<T> NoUninit for T
where T: Pod,