Struct bevy_math::Rot2

source ·
pub struct Rot2 {
    pub cos: f32,
    pub sin: f32,
}
Expand description

A counterclockwise 2D rotation.

§Example

use std::f32::consts::PI;

// Create rotations from radians or degrees
let rotation1 = Rot2::radians(PI / 2.0);
let rotation2 = Rot2::degrees(45.0);

// Get the angle back as radians or degrees
assert_eq!(rotation1.as_degrees(), 90.0);
assert_eq!(rotation2.as_radians(), PI / 4.0);

// "Add" rotations together using `*`
assert_relative_eq!(rotation1 * rotation2, Rot2::degrees(135.0));

// Rotate vectors
assert_relative_eq!(rotation1 * Vec2::X, Vec2::Y);

Fields§

§cos: f32

The cosine of the rotation angle in radians.

This is the real part of the unit complex number representing the rotation.

§sin: f32

The sine of the rotation angle in radians.

This is the imaginary part of the unit complex number representing the rotation.

Implementations§

source§

impl Rot2

source

pub const IDENTITY: Self = _

No rotation.

source

pub const PI: Self = _

A rotation of π radians.

source

pub const FRAC_PI_2: Self = _

A counterclockwise rotation of π/2 radians.

source

pub const FRAC_PI_3: Self = _

A counterclockwise rotation of π/3 radians.

source

pub const FRAC_PI_4: Self = _

A counterclockwise rotation of π/4 radians.

source

pub const FRAC_PI_6: Self = _

A counterclockwise rotation of π/6 radians.

source

pub const FRAC_PI_8: Self = _

A counterclockwise rotation of π/8 radians.

source

pub fn radians(radians: f32) -> Self

Creates a Rot2 from a counterclockwise angle in radians.

source

pub fn degrees(degrees: f32) -> Self

Creates a Rot2 from a counterclockwise angle in degrees.

source

pub fn from_sin_cos(sin: f32, cos: f32) -> Self

Creates a Rot2 from the sine and cosine of an angle in radians.

The rotation is only valid if sin * sin + cos * cos == 1.0.

§Panics

Panics if sin * sin + cos * cos != 1.0 when the glam_assert feature is enabled.

source

pub fn as_radians(self) -> f32

Returns the rotation in radians in the (-pi, pi] range.

source

pub fn as_degrees(self) -> f32

Returns the rotation in degrees in the (-180, 180] range.

source

pub const fn sin_cos(self) -> (f32, f32)

Returns the sine and cosine of the rotation angle in radians.

source

pub fn length(self) -> f32

Computes the length or norm of the complex number used to represent the rotation.

The length is typically expected to be 1.0. Unexpectedly denormalized rotations can be a result of incorrect construction or floating point error caused by successive operations.

source

pub fn length_squared(self) -> f32

Computes the squared length or norm of the complex number used to represent the rotation.

This is generally faster than Rot2::length(), as it avoids a square root operation.

The length is typically expected to be 1.0. Unexpectedly denormalized rotations can be a result of incorrect construction or floating point error caused by successive operations.

source

pub fn length_recip(self) -> f32

Computes 1.0 / self.length().

For valid results, self must not have a length of zero.

source

pub fn try_normalize(self) -> Option<Self>

Returns self with a length of 1.0 if possible, and None otherwise.

None will be returned if the sine and cosine of self are both zero (or very close to zero), or if either of them is NaN or infinite.

Note that Rot2 should typically already be normalized by design. Manual normalization is only needed when successive operations result in accumulated floating point error, or if the rotation was constructed with invalid values.

source

pub fn normalize(self) -> Self

Returns self with a length of 1.0.

Note that Rot2 should typically already be normalized by design. Manual normalization is only needed when successive operations result in accumulated floating point error, or if the rotation was constructed with invalid values.

§Panics

Panics if self has a length of zero, NaN, or infinity when debug assertions are enabled.

source

pub fn is_finite(self) -> bool

Returns true if the rotation is neither infinite nor NaN.

source

pub fn is_nan(self) -> bool

Returns true if the rotation is NaN.

source

pub fn is_normalized(self) -> bool

Returns whether self has a length of 1.0 or not.

Uses a precision threshold of approximately 1e-4.

source

pub fn is_near_identity(self) -> bool

Returns true if the rotation is near Rot2::IDENTITY.

source

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

Returns the angle in radians needed to make self and other coincide.

source

pub fn inverse(self) -> Self

Returns the inverse of the rotation. This is also the conjugate of the unit complex number representing the rotation.

source

pub fn nlerp(self, end: Self, s: f32) -> Self

Performs a linear interpolation between self and rhs based on the value s, and normalizes the rotation afterwards.

When s == 0.0, the result will be equal to self. When s == 1.0, the result will be equal to rhs.

This is slightly more efficient than slerp, and produces a similar result when the difference between the two rotations is small. At larger differences, the result resembles a kind of ease-in-out effect.

If you would like the angular velocity to remain constant, consider using slerp instead.

§Details

nlerp corresponds to computing an angle for a point at position s on a line drawn between the endpoints of the arc formed by self and rhs on a unit circle, and normalizing the result afterwards.

Note that if the angles are opposite like 0 and π, the line will pass through the origin, and the resulting angle will always be either self or rhs depending on s. If s happens to be 0.5 in this case, a valid rotation cannot be computed, and self will be returned as a fallback.

§Example
let rot1 = Rot2::IDENTITY;
let rot2 = Rot2::degrees(135.0);

let result1 = rot1.nlerp(rot2, 1.0 / 3.0);
assert_eq!(result1.as_degrees(), 28.675055);

let result2 = rot1.nlerp(rot2, 0.5);
assert_eq!(result2.as_degrees(), 67.5);
source

pub fn slerp(self, end: Self, s: f32) -> Self

Performs a spherical linear interpolation between self and end based on the value s.

This corresponds to interpolating between the two angles at a constant angular velocity.

When s == 0.0, the result will be equal to self. When s == 1.0, the result will be equal to rhs.

If you would like the rotation to have a kind of ease-in-out effect, consider using the slightly more efficient nlerp instead.

§Example
let rot1 = Rot2::IDENTITY;
let rot2 = Rot2::degrees(135.0);

let result1 = rot1.slerp(rot2, 1.0 / 3.0);
assert_eq!(result1.as_degrees(), 45.0);

let result2 = rot1.slerp(rot2, 0.5);
assert_eq!(result2.as_degrees(), 67.5);

Trait Implementations§

source§

impl Clone for Rot2

source§

fn clone(&self) -> Rot2

Returns a copy of the value. Read more
1.0.0 · source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
source§

impl Debug for Rot2

source§

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

Formats the value using the given formatter. Read more
source§

impl Default for Rot2

source§

fn default() -> Self

Returns the “default value” for a type. Read more
source§

impl<'de> Deserialize<'de> for Rot2

source§

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

Deserialize this value from the given Serde deserializer. Read more
source§

impl Distribution<Rot2> for Standard

source§

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> Rot2

Generate a random value of T, using rng as the source of randomness.
source§

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>
where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
source§

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>
where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more
source§

impl From<Rot2> for Mat2

source§

fn from(rot: Rot2) -> Self

Creates a Mat2 rotation matrix from a Rot2.

source§

impl From<f32> for Rot2

source§

fn from(rotation: f32) -> Self

Creates a Rot2 from a counterclockwise angle in radians.

source§

impl FromReflect for Rot2
where Self: Any + Send + Sync, f32: FromReflect + TypePath + RegisterForReflection,

source§

fn from_reflect(reflect: &dyn Reflect) -> Option<Self>

Constructs a concrete instance of Self from a reflected value.
source§

fn take_from_reflect( reflect: Box<dyn Reflect> ) -> Result<Self, Box<dyn Reflect>>

Attempts to downcast the given value to Self using, constructing the value using from_reflect if that fails. Read more
source§

impl FromRng for Rot2

source§

fn from_rng<R: Rng + ?Sized>(rng: &mut R) -> Self

Construct a value of this type uniformly at random using rng as the source of randomness.
source§

impl GetTypeRegistration for Rot2
where Self: Any + Send + Sync, f32: FromReflect + TypePath + RegisterForReflection,

source§

fn get_type_registration() -> TypeRegistration

Returns the default TypeRegistration for this type.
source§

fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type. Read more
source§

impl Mul<Dir2> for Rot2

source§

fn mul(self, direction: Dir2) -> Self::Output

Rotates the Dir2 using a Rot2.

§

type Output = Dir2

The resulting type after applying the * operator.
source§

impl Mul<Vec2> for Rot2

source§

fn mul(self, rhs: Vec2) -> Self::Output

Rotates a Vec2 by a Rot2.

§

type Output = Vec2

The resulting type after applying the * operator.
source§

impl Mul for Rot2

§

type Output = Rot2

The resulting type after applying the * operator.
source§

fn mul(self, rhs: Self) -> Self::Output

Performs the * operation. Read more
source§

impl MulAssign for Rot2

source§

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more
source§

impl PartialEq for Rot2

source§

fn eq(&self, other: &Rot2) -> bool

This method tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
source§

impl Reflect for Rot2
where Self: Any + Send + Sync, f32: FromReflect + TypePath + RegisterForReflection,

source§

fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the TypeInfo of the type represented by this value. Read more
source§

fn into_any(self: Box<Self>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.
source§

fn as_any(&self) -> &dyn Any

Returns the value as a &dyn Any.
source§

fn as_any_mut(&mut self) -> &mut dyn Any

Returns the value as a &mut dyn Any.
source§

fn into_reflect(self: Box<Self>) -> Box<dyn Reflect>

Casts this type to a boxed reflected value.
source§

fn as_reflect(&self) -> &dyn Reflect

Casts this type to a reflected value.
source§

fn as_reflect_mut(&mut self) -> &mut dyn Reflect

Casts this type to a mutable reflected value.
source§

fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a Reflect trait object. Read more
source§

fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value. Read more
source§

fn try_apply(&mut self, value: &dyn Reflect) -> Result<(), ApplyError>

Tries to apply a reflected value to this value. Read more
source§

fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type. Read more
source§

fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type. Read more
source§

fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type. Read more
source§

fn reflect_owned(self: Box<Self>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type. Read more
source§

fn reflect_partial_eq(&self, value: &dyn Reflect) -> Option<bool>

Returns a “partial equality” comparison result. Read more
source§

fn debug(&self, f: &mut Formatter<'_>) -> Result

Debug formatter for the value. Read more
source§

fn apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value. Read more
source§

fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type). Read more
source§

fn serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value. Read more
source§

fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type. Read more
source§

impl Serialize for Rot2

source§

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

Serialize this value into the given Serde serializer. Read more
source§

impl Struct for Rot2
where Self: Any + Send + Sync, f32: FromReflect + TypePath + RegisterForReflection,

source§

fn field(&self, name: &str) -> Option<&dyn Reflect>

Returns a reference to the value of the field named name as a &dyn Reflect.
source§

fn field_mut(&mut self, name: &str) -> Option<&mut dyn Reflect>

Returns a mutable reference to the value of the field named name as a &mut dyn Reflect.
source§

fn field_at(&self, index: usize) -> Option<&dyn Reflect>

Returns a reference to the value of the field with index index as a &dyn Reflect.
source§

fn field_at_mut(&mut self, index: usize) -> Option<&mut dyn Reflect>

Returns a mutable reference to the value of the field with index index as a &mut dyn Reflect.
source§

fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index index.
source§

fn field_len(&self) -> usize

Returns the number of fields in the struct.
source§

fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.
source§

fn clone_dynamic(&self) -> DynamicStruct

Clones the struct into a DynamicStruct.
source§

impl TypePath for Rot2
where Self: Any + Send + Sync,

source§

fn type_path() -> &'static str

Returns the fully qualified path of the underlying type. Read more
source§

fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type. Read more
source§

fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous. Read more
source§

fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous. Read more
source§

fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous. Read more
source§

impl Typed for Rot2
where Self: Any + Send + Sync, f32: FromReflect + TypePath + RegisterForReflection,

source§

fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.
source§

impl Copy for Rot2

source§

impl StructuralPartialEq for Rot2

Auto Trait Implementations§

§

impl Freeze for Rot2

§

impl RefUnwindSafe for Rot2

§

impl Send for Rot2

§

impl Sync for Rot2

§

impl Unpin for Rot2

§

impl UnwindSafe for Rot2

Blanket Implementations§

source§

impl<T> Any for T
where T: 'static + ?Sized,

source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
source§

impl<T> Borrow<T> for T
where T: ?Sized,

source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
source§

impl<T> BorrowMut<T> for T
where T: ?Sized,

source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
source§

impl<T> Downcast for T
where T: Any,

source§

fn into_any(self: Box<T>) -> Box<dyn Any>

Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait.
source§

fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>

Convert Rc<Trait> (where Trait: Downcast) to Rc<Any>. Rc<Any> can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait.
source§

fn as_any(&self) -> &(dyn Any + 'static)

Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.
source§

fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Convert &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s.
source§

impl<T> DowncastSync for T
where T: Any + Send + Sync,

source§

fn into_any_arc(self: Arc<T>) -> Arc<dyn Any + Sync + Send>

Convert Arc<Trait> (where Trait: Downcast) to Arc<Any>. Arc<Any> can then be further downcast into Arc<ConcreteType> where ConcreteType implements Trait.
source§

impl<T> DynamicTypePath for T
where T: TypePath,

source§

impl<T> From<T> for T

source§

fn from(t: T) -> T

Returns the argument unchanged.

source§

impl<S> GetField for S
where S: Struct,

source§

fn get_field<T>(&self, name: &str) -> Option<&T>
where T: Reflect,

Returns a reference to the value of the field named name, downcast to T.
source§

fn get_field_mut<T>(&mut self, name: &str) -> Option<&mut T>
where T: Reflect,

Returns a mutable reference to the value of the field named name, downcast to T.
source§

impl<T> GetPath for T
where T: Reflect + ?Sized,

source§

fn reflect_path<'p>( &self, path: impl ReflectPath<'p> ) -> Result<&(dyn Reflect + 'static), ReflectPathError<'p>>

Returns a reference to the value specified by path. Read more
source§

fn reflect_path_mut<'p>( &mut self, path: impl ReflectPath<'p> ) -> Result<&mut (dyn Reflect + 'static), ReflectPathError<'p>>

Returns a mutable reference to the value specified by path. Read more
source§

fn path<'p, T>( &self, path: impl ReflectPath<'p> ) -> Result<&T, ReflectPathError<'p>>
where T: Reflect,

Returns a statically typed reference to the value specified by path. Read more
source§

fn path_mut<'p, T>( &mut self, path: impl ReflectPath<'p> ) -> Result<&mut T, ReflectPathError<'p>>
where T: Reflect,

Returns a statically typed mutable reference to the value specified by path. Read more
source§

impl<T> Instrument for T

source§

fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more
source§

fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
source§

impl<T, U> Into<U> for T
where U: From<T>,

source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

source§

impl<T> Serialize for T
where T: Serialize + ?Sized,

source§

fn erased_serialize(&self, serializer: &mut dyn Serializer) -> Result<(), Error>

source§

fn do_erased_serialize( &self, serializer: &mut dyn Serializer ) -> Result<(), ErrorImpl>

source§

impl<T> ToOwned for T
where T: Clone,

§

type Owned = T

The resulting type after obtaining ownership.
source§

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
source§

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
source§

impl<T, U> TryFrom<U> for T
where U: Into<T>,

§

type Error = Infallible

The type returned in the event of a conversion error.
source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

§

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
source§

impl<T> TypeData for T
where T: 'static + Send + Sync + Clone,

source§

impl<T> WithSubscriber for T

source§

fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a WithDispatch wrapper. Read more
source§

fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a WithDispatch wrapper. Read more
source§

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

source§

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