emath

Struct Rect

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#[repr(C)]
pub struct Rect { pub min: Pos2, pub max: Pos2, }
Expand description

A rectangular region of space.

Usually a Rect has a positive (or zero) size, and then Self::min <= Self::max. In these cases Self::min is the left-top corner and Self::max is the right-bottom corner.

A rectangle is allowed to have a negative size, which happens when the order of min and max are swapped. These are usually a sign of an error.

Normally the unit is points (logical pixels) in screen space coordinates.

Rect does NOT implement Default, because there is no obvious default value. Rect::ZERO may seem reasonable, but when used as a bounding box, Rect::NOTHING is a better default - so be explicit instead!

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§min: Pos2

One of the corners of the rectangle, usually the left top one.

§max: Pos2

The other corner, opposing Self::min. Usually the right bottom one.

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impl Rect

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pub const EVERYTHING: Self = _

Infinite rectangle that contains every point.

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pub const NOTHING: Self = _

The inverse of Self::EVERYTHING: stretches from positive infinity to negative infinity. Contains no points.

This is useful as the seed for bounding boxes.

§Example:
let mut rect = Rect::NOTHING;
assert!(rect.size() == Vec2::splat(-f32::INFINITY));
assert!(rect.contains(pos2(0.0, 0.0)) == false);
rect.extend_with(pos2(2.0, 1.0));
rect.extend_with(pos2(0.0, 3.0));
assert_eq!(rect, Rect::from_min_max(pos2(0.0, 1.0), pos2(2.0, 3.0)))
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pub const NAN: Self = _

An invalid Rect filled with f32::NAN.

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pub const ZERO: Self = _

A Rect filled with zeroes.

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pub const fn from_min_max(min: Pos2, max: Pos2) -> Self

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pub fn from_min_size(min: Pos2, size: Vec2) -> Self

left-top corner plus a size (stretching right-down).

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pub fn from_center_size(center: Pos2, size: Vec2) -> Self

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pub fn from_x_y_ranges( x_range: impl Into<Rangef>, y_range: impl Into<Rangef>, ) -> Self

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pub fn from_two_pos(a: Pos2, b: Pos2) -> Self

Returns the bounding rectangle of the two points.

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pub fn from_pos(point: Pos2) -> Self

A zero-sized rect at a specific point.

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pub fn from_points(points: &[Pos2]) -> Self

Bounding-box around the points.

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pub fn everything_right_of(left_x: f32) -> Self

A Rect that contains every point to the right of the given X coordinate.

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pub fn everything_left_of(right_x: f32) -> Self

A Rect that contains every point to the left of the given X coordinate.

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pub fn everything_below(top_y: f32) -> Self

A Rect that contains every point below a certain y coordinate

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pub fn everything_above(bottom_y: f32) -> Self

A Rect that contains every point above a certain y coordinate

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pub fn with_min_x(self, min_x: f32) -> Self

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pub fn with_min_y(self, min_y: f32) -> Self

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pub fn with_max_x(self, max_x: f32) -> Self

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pub fn with_max_y(self, max_y: f32) -> Self

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pub fn expand(self, amnt: f32) -> Self

Expand by this much in each direction, keeping the center

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pub fn expand2(self, amnt: Vec2) -> Self

Expand by this much in each direction, keeping the center

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pub fn scale_from_center(self, scale_factor: f32) -> Self

Scale up by this factor in each direction, keeping the center

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pub fn scale_from_center2(self, scale_factor: Vec2) -> Self

Scale up by this factor in each direction, keeping the center

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pub fn shrink(self, amnt: f32) -> Self

Shrink by this much in each direction, keeping the center

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pub fn shrink2(self, amnt: Vec2) -> Self

Shrink by this much in each direction, keeping the center

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pub fn translate(self, amnt: Vec2) -> Self

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pub fn rotate_bb(self, rot: Rot2) -> Self

Rotate the bounds (will expand the Rect)

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pub fn intersects(self, other: Self) -> bool

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pub fn set_width(&mut self, w: f32)

keep min

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pub fn set_height(&mut self, h: f32)

keep min

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pub fn set_center(&mut self, center: Pos2)

Keep size

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pub fn contains(&self, p: Pos2) -> bool

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pub fn contains_rect(&self, other: Self) -> bool

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pub fn clamp(&self, p: Pos2) -> Pos2

Return the given points clamped to be inside the rectangle Panics if Self::is_negative.

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pub fn extend_with(&mut self, p: Pos2)

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pub fn extend_with_x(&mut self, x: f32)

Expand to include the given x coordinate

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pub fn extend_with_y(&mut self, y: f32)

Expand to include the given y coordinate

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

The union of two bounding rectangle, i.e. the minimum Rect that contains both input rectangles.

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

The intersection of two Rect, i.e. the area covered by both.

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pub fn center(&self) -> Pos2

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pub fn size(&self) -> Vec2

rect.size() == Vec2 { x: rect.width(), y: rect.height() }

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pub fn width(&self) -> f32

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pub fn height(&self) -> f32

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pub fn aspect_ratio(&self) -> f32

Width / height

  • aspect_ratio < 1: portrait / high
  • aspect_ratio = 1: square
  • aspect_ratio > 1: landscape / wide
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pub fn square_proportions(&self) -> Vec2

[2, 1] for wide screen, and [1, 2] for portrait, etc. At least one dimension = 1, the other >= 1 Returns the proportions required to letter-box a square view area.

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pub fn area(&self) -> f32

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pub fn distance_to_pos(&self, pos: Pos2) -> f32

The distance from the rect to the position.

The distance is zero when the position is in the interior of the rectangle.

Negative rectangles always return f32::INFINITY.

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pub fn distance_sq_to_pos(&self, pos: Pos2) -> f32

The distance from the rect to the position, squared.

The distance is zero when the position is in the interior of the rectangle.

Negative rectangles always return f32::INFINITY.

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pub fn signed_distance_to_pos(&self, pos: Pos2) -> f32

Signed distance to the edge of the box.

Negative inside the box.

Negative rectangles always return f32::INFINITY.

let rect = Rect::from_min_max(pos2(0.0, 0.0), pos2(1.0, 1.0));
assert_eq!(rect.signed_distance_to_pos(pos2(0.50, 0.50)), -0.50);
assert_eq!(rect.signed_distance_to_pos(pos2(0.75, 0.50)), -0.25);
assert_eq!(rect.signed_distance_to_pos(pos2(1.50, 0.50)), 0.50);
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pub fn lerp_inside(&self, t: Vec2) -> Pos2

Linearly interpolate so that [0, 0] is Self::min and [1, 1] is Self::max.

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pub fn lerp_towards(&self, other: &Self, t: f32) -> Self

Linearly self towards other rect.

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pub fn x_range(&self) -> Rangef

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pub fn y_range(&self) -> Rangef

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pub fn bottom_up_range(&self) -> Rangef

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pub fn is_negative(&self) -> bool

width < 0 || height < 0

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pub fn is_positive(&self) -> bool

width > 0 && height > 0

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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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impl Rect

§Convenience functions (assumes origin is towards left top):
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pub fn left(&self) -> f32

min.x

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pub fn left_mut(&mut self) -> &mut f32

min.x

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pub fn set_left(&mut self, x: f32)

min.x

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pub fn right(&self) -> f32

max.x

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pub fn right_mut(&mut self) -> &mut f32

max.x

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pub fn set_right(&mut self, x: f32)

max.x

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pub fn top(&self) -> f32

min.y

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pub fn top_mut(&mut self) -> &mut f32

min.y

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pub fn set_top(&mut self, y: f32)

min.y

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pub fn bottom(&self) -> f32

max.y

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pub fn bottom_mut(&mut self) -> &mut f32

max.y

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pub fn set_bottom(&mut self, y: f32)

max.y

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pub fn left_top(&self) -> Pos2

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pub fn center_top(&self) -> Pos2

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pub fn right_top(&self) -> Pos2

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pub fn left_center(&self) -> Pos2

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pub fn right_center(&self) -> Pos2

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pub fn left_bottom(&self) -> Pos2

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pub fn center_bottom(&self) -> Pos2

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pub fn right_bottom(&self) -> Pos2

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pub fn split_left_right_at_fraction(&self, t: f32) -> (Self, Self)

Split rectangle in left and right halves. t is expected to be in the (0,1) range.

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pub fn split_left_right_at_x(&self, split_x: f32) -> (Self, Self)

Split rectangle in left and right halves at the given x coordinate.

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pub fn split_top_bottom_at_fraction(&self, t: f32) -> (Self, Self)

Split rectangle in top and bottom halves. t is expected to be in the (0,1) range.

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pub fn split_top_bottom_at_y(&self, split_y: f32) -> (Self, Self)

Split rectangle in top and bottom halves at the given y coordinate.

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impl Rect

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pub fn intersects_ray(&self, o: Pos2, d: Vec2) -> bool

Does this Rect intersect the given ray (where d is normalized)?

A ray that starts inside the rect will return true.

Trait Implementations§

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impl Clone for Rect

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fn clone(&self) -> Rect

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 Rect

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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<'de> Deserialize<'de> for Rect

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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 Rect

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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 Rect

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type Output = Rect

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 From<[Pos2; 2]> for Rect

from (min, max) or (left top, right bottom)

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fn from([min, max]: [Pos2; 2]) -> Self

Converts to this type from the input type.
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impl Mul<Rect> for TSTransform

Transforms the rectangle.

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type Output = Rect

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

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

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type Output = Rect

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

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

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type Output = Rect

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 PartialEq for Rect

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fn eq(&self, other: &Rect) -> 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 Rect

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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 Zeroable for Rect

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fn zeroed() -> Self

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impl Copy for Rect

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impl Eq for Rect

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impl Pod for Rect

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impl StructuralPartialEq for Rect

Auto Trait Implementations§

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impl Freeze for Rect

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impl RefUnwindSafe for Rect

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impl Send for Rect

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impl Sync for Rect

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impl Unpin for Rect

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impl UnwindSafe for Rect

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 u8)

🔬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,