Triangle

Struct Triangle 

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#[repr(transparent)]
pub struct Triangle<T>(pub [Vec2<T>; 3]);
Expand description

A triangle, represented by 3 points.

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§0: [Vec2<T>; 3]

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impl<T: Pod + NoUninit> Triangle<T>

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pub fn as_bytes(&self) -> &[u8]

This type re-interpreted as a slice of bytes.

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pub fn as_bytes_mut(&mut self) -> &mut [u8]

This type re-interpreted as a mutable slice of bytes.

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impl<T: Copy + AbsDiffEq<Epsilon = T>> Triangle<T>

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

Returns true if the two values are approximately equal according to the absolute difference between their components.

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impl<T: Copy + RelativeEq<Epsilon = T>> Triangle<T>

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

Returns true if the two values are approximately equal according to the absolute difference between their components, as well as relative-based comparisons.

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impl<T: Copy + UlpsEq<Epsilon = T>> Triangle<T>

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

Returns true if the two values are approximately equal according to the absolute difference between their components, as well as ULPs (Units in Last Place).

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impl<T> Triangle<T>

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pub const fn new(a: Vec2<T>, b: Vec2<T>, c: Vec2<T>) -> Self

Create a new triangle.

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impl<T: Copy> Triangle<T>

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pub const fn a(&self) -> Vec2<T>

First point of the triangle.

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pub const fn b(&self) -> Vec2<T>

Second point of the triangle

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pub const fn c(&self) -> Vec2<T>

Third point of the triangle.

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pub fn edges(&self) -> [Line<T>; 3]

The triangle’s 3 edges.

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pub const fn edge_ab(&self) -> Line<T>

The triangle’s a -> b edge.

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pub const fn edge_bc(&self) -> Line<T>

The triangle’s b -> c edge.

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pub const fn edge_ca(&self) -> Line<T>

The triangle’s c -> a edge.

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impl<T: Num> Triangle<T>

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pub const ZERO: Self

A triangle with all points set to (0, 0).

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pub fn ab(&self) -> Vec2<T>

The vector a -> b of the triangle.

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pub fn bc(&self) -> Vec2<T>

The vector b -> c of the triangle.

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pub fn ca(&self) -> Vec2<T>

The vector c -> a of the triangle.

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impl<T: Float> Triangle<T>

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pub fn norm_ab(&self) -> Vec2<T>

Return the outward-facing normal of edge a -> b.

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pub fn norm_bc(&self) -> Vec2<T>

Return the outward-facing normal of edge b -> c.

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pub fn norm_ca(&self) -> Vec2<T>

Return the outward-facing normal of edge c -> a.

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pub fn transform_by(&self, f: impl FnMut(Vec2<T>) -> Vec2<T>) -> Self

Trait Implementations§

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impl<T> AbsDiffEq for Triangle<T>
where T: AbsDiffEq, T::Epsilon: Copy,

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type Epsilon = <T as AbsDiffEq>::Epsilon

Used for specifying relative comparisons.
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fn default_epsilon() -> Self::Epsilon

The default tolerance to use when testing values that are close together. Read more
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fn abs_diff_eq(&self, other: &Self, epsilon: Self::Epsilon) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.
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fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.
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impl<T> AsRef<[Vec2<T>]> for Triangle<T>

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fn as_ref(&self) -> &[Vec2<T>]

Converts this type into a shared reference of the (usually inferred) input type.
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impl<T: Clone> Clone for Triangle<T>

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

Returns a duplicate 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> Debug for Triangle<T>

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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, T> Deserialize<'de> for Triangle<T>
where T: Deserialize<'de>,

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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<T> From<[Vec2<T>; 3]> for Triangle<T>

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fn from(value: [Vec2<T>; 3]) -> Self

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

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fn from((a, b, c): (Vec2<T>, Vec2<T>, Vec2<T>)) -> Self

Converts to this type from the input type.
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impl<T> From<Triangle<T>> for [Vec2<T>; 3]

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fn from(value: Triangle<T>) -> Self

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

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fn from(Triangle: Triangle<T>) -> Self

Converts to this type from the input type.
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impl<T> From<Triangle<T>> for DynShape<T>

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fn from(value: Triangle<T>) -> Self

Converts to this type from the input type.
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impl<T: Num> From<Triangle<T>> for Polygon<T>

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fn from(value: Triangle<T>) -> Self

Converts to this type from the input type.
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impl<T: Hash> Hash for Triangle<T>

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

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: Float> Interp for Triangle<T>
where Vec2<T>: Interp<Factor = T>,

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type Factor = T

The factor by which this type is interpolated.
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fn lerp(self, target: Self, t: Self::Factor) -> Self

Linear interpolation.
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fn quad_bezier(self, control: Self, target: Self, t: Self::Factor) -> Self

Quadratic bezier interpolation.
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fn cubic_bezier( self, control1: Self, control2: Self, target: Self, t: Self::Factor, ) -> Self

Cubic bezier interpolation.
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fn hermite( self, tangent1: Self::Factor, target: Self, tangent2: Self::Factor, t: Self::Factor, ) -> Self

Cubic Hermite interpolation. Read more
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fn catmull_rom( self, control1: Self, control2: Self, target: Self, t: Self::Factor, ) -> Self

Catmull-Rom interpolation. Read more
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fn smooth_step(self, target: Self, t: Self::Factor) -> Self

Smooth-step interpolation. Read more
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impl<T: Numeric<AsU8 = u8, AsU16 = u16, AsU32 = u32, AsU64 = u64, AsU128 = u128, AsUSize = usize, AsI8 = i8, AsI16 = i16, AsI32 = i32, AsI64 = i64, AsI128 = i128, AsISize = isize, AsF32 = f32, AsF64 = f64>> Numeric for Triangle<T>

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impl<T: Ord> Ord for Triangle<T>

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fn cmp(&self, other: &Triangle<T>) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Restrict a value to a certain interval. Read more
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impl<T: PartialEq> PartialEq for Triangle<T>

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fn eq(&self, other: &Triangle<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: PartialOrd> PartialOrd for Triangle<T>

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fn partial_cmp(&self, other: &Triangle<T>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl<T> RelativeEq for Triangle<T>
where T: RelativeEq, T::Epsilon: Copy,

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fn default_max_relative() -> Self::Epsilon

The default relative tolerance for testing values that are far-apart. Read more
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fn relative_eq( &self, other: &Self, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.
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fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of RelativeEq::relative_eq.
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impl<T> Serialize for Triangle<T>
where T: Serialize,

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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<T> UlpsEq for Triangle<T>
where T: UlpsEq, T::Epsilon: Copy,

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fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart. Read more
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fn ulps_eq(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.
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fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of UlpsEq::ulps_eq.
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impl<T: Zeroable> Zeroable for Triangle<T>

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fn zeroed() -> Self

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impl<T: Copy> Copy for Triangle<T>

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impl<T: Eq> Eq for Triangle<T>

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impl<T: Pod> Pod for Triangle<T>

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impl<T> StructuralPartialEq for Triangle<T>

Auto Trait Implementations§

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

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

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

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

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

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impl<T> UnwindSafe for Triangle<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> 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, 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, S> Polygonal<T> for S
where T: Float, S: AsRef<[Vec2<T>]>,

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fn nearest_vertex(&self, source: Vec2<T>) -> Vec2<T>

Get the nearest point on this polygon to the source point.
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fn all_edges<F>(&self, cond: F) -> bool
where F: FnMut(Line<T>) -> bool,

Iterate all polygonal edges of the shape, returning true if any of them satisfy the conditional function provided.
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fn all_normals<F>(&self, cond: F) -> bool
where F: FnMut(Vec2<T>) -> bool,

Iterate all edge normals of the shape, returning true if any of them satisfy the conditional function provided.
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fn visit_normals<F>(&self, plot: F)
where F: FnMut(Vec2<T>),

Walk through every normal of the polygon.
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fn visit_edges<F: FnMut(Line<T>)>(&self, plot: F)

Walk through every edge of the polygon.
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impl<T, S> Shape<T> for S
where T: Float, S: AsRef<[Vec2<T>]>,

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fn centroid(&self) -> Vec2<T>

Centroid of the shape.
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fn contains(&self, p: Vec2<T>) -> bool

If the point is contained within the shape.
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fn bounds(&self) -> Rect<T>

Rectangular bounds of the shape.
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fn project_onto_axis(&self, axis: Vec2<T>) -> Projection<T>

Project the shape onto the axis.
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fn project_point(&self, p: Vec2<T>) -> Vec2<T>

Project a point onto the outside surface of the shape.
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fn rayhit(&self, ray: &Ray<T>) -> bool

Check if a ray intersects this shape.
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fn raycast(&self, ray: &Ray<T>) -> Option<RayHit<T>>

Raycast against the shape.
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fn overlaps_rect(&self, rect: &Rect<T>) -> bool

If this shape overlaps the rectangle.
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fn overlaps_circ(&self, circ: &Circle<T>) -> bool

If this shape overlaps the circle.
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fn overlaps_poly<P>(&self, poly: &P) -> bool
where P: Polygonal<T>,

If this shape overlaps the polygon.
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fn extract_from_circ(&self, circ: &Circle<T>) -> Option<Vec2<T>>

If this shape and the circle overlap, return a push-out vector that can be used to extract them from each other.
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fn extract_from_poly<P>(&self, poly: &P) -> Option<Vec2<T>>
where P: Polygonal<T>,

If this shape and the polygon overlap, return a push-out vector that can be used to extract them from each other.
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fn is_convex(&self) -> bool

If this shape is convex.
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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, 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,