Rad

Struct Rad

#[repr(C)]
pub struct Rad<S>(pub S);

Expand description

An angle, in radians.

This type is marked as #[repr(C)].

Tuple Fields§

§0: S

Trait Implementations§

impl<S> AbsDiffEq for Rad<S>
where S: BaseFloat,

type Epsilon = <S as AbsDiffEq>::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> <S as AbsDiffEq>::Epsilon

The default tolerance to use when testing values that are close together. Read more

fn abs_diff_eq( &self, other: &Rad<S>, epsilon: <S as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

impl<'a, 'b, S> Add<&'a Rad<S>> for &'b Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Rad<S>) -> Rad<S>

Performs the + operation. Read more

impl<'a, S> Add<&'a Rad<S>> for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Rad<S>) -> Rad<S>

Performs the + operation. Read more

impl<'a, S> Add<Rad<S>> for &'a Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the + operator.

fn add(self, other: Rad<S>) -> Rad<S>

Performs the + operation. Read more

impl<S> Add for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the + operator.

fn add(self, other: Rad<S>) -> Rad<S>

Performs the + operation. Read more

impl<S> AddAssign for Rad<S>
where S: BaseFloat + AddAssign,

fn add_assign(&mut self, other: Rad<S>)

Performs the += operation. Read more

impl<S> Angle for Rad<S>
where S: BaseFloat,

type Unitless = S

fn full_turn() -> Rad<S>

A full rotation.

fn sin(self) -> S

Compute the sine of the angle, returning a unitless ratio. Read more

fn cos(self) -> S

Compute the cosine of the angle, returning a unitless ratio. Read more

fn tan(self) -> S

Compute the tangent of the angle, returning a unitless ratio. Read more

fn sin_cos(self) -> (S, S)

Compute the sine and cosine of the angle, returning the result as a pair. Read more

fn asin(a: S) -> Rad<S>

Compute the arcsine of the ratio, returning the resulting angle. Read more

fn acos(a: S) -> Rad<S>

Compute the arccosine of the ratio, returning the resulting angle. Read more

fn atan(a: S) -> Rad<S>

Compute the arctangent of the ratio, returning the resulting angle. Read more

fn atan2(a: S, b: S) -> Rad<S>

fn normalize(self) -> Self

Return the angle, normalized to the range [0, full_turn).

fn normalize_signed(self) -> Self

Return the angle, normalized to the range [-turn_div_2, turn_div_2).

fn opposite(self) -> Self

Return the angle rotated by half a turn.

fn bisect(self, other: Self) -> Self

Returns the interior bisector of the two angles.

fn turn_div_2() -> Self

Half of a full rotation.

fn turn_div_3() -> Self

A third of a full rotation.

fn turn_div_4() -> Self

A quarter of a full rotation.

fn turn_div_6() -> Self

A sixth of a full rotation.

fn csc(self) -> Self::Unitless

Compute the cosecant of the angle. Read more

fn cot(self) -> Self::Unitless

Compute the cotangent of the angle. Read more

fn sec(self) -> Self::Unitless

Compute the secant of the angle. Read more

impl<S> Bounded for Rad<S>
where S: Bounded,

fn min_value() -> Rad<S>

Returns the smallest finite number this type can represent

fn max_value() -> Rad<S>

Returns the largest finite number this type can represent

impl<S> Clone for Rad<S>
where S: Clone,

fn clone(&self) -> Rad<S>

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

impl<S> Debug for Rad<S>
where S: Debug,

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

Formats the value using the given formatter. Read more

impl<'a, 'b, S> Div<&'a Rad<S>> for &'b Rad<S>
where S: BaseFloat,

type Output = S

The resulting type after applying the / operator.

fn div(self, other: &'a Rad<S>) -> S

Performs the / operation. Read more

impl<'a, S> Div<&'a Rad<S>> for Rad<S>
where S: BaseFloat,

type Output = S

The resulting type after applying the / operator.

fn div(self, other: &'a Rad<S>) -> S

Performs the / operation. Read more

impl<'a, S> Div<Rad<S>> for &'a Rad<S>
where S: BaseFloat,

type Output = S

The resulting type after applying the / operator.

fn div(self, other: Rad<S>) -> S

Performs the / operation. Read more

impl<'a, S> Div<S> for &'a Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the / operator.

fn div(self, other: S) -> Rad<S>

Performs the / operation. Read more

impl<S> Div<S> for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the / operator.

fn div(self, other: S) -> Rad<S>

Performs the / operation. Read more

impl<S> Div for Rad<S>
where S: BaseFloat,

type Output = S

The resulting type after applying the / operator.

fn div(self, other: Rad<S>) -> S

Performs the / operation. Read more

impl<S> DivAssign<S> for Rad<S>
where S: BaseFloat + DivAssign,

fn div_assign(&mut self, scalar: S)

Performs the /= operation. Read more

impl<S> From<Deg<S>> for Rad<S>
where S: BaseFloat,

fn from(deg: Deg<S>) -> Rad<S>

Converts to this type from the input type.

impl<S> From<Rad<S>> for Deg<S>
where S: BaseFloat,

fn from(rad: Rad<S>) -> Deg<S>

Converts to this type from the input type.

impl<'a, S> Mul<S> for &'a Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the * operator.

fn mul(self, other: S) -> Rad<S>

Performs the * operation. Read more

impl<S> Mul<S> for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the * operator.

fn mul(self, other: S) -> Rad<S>

Performs the * operation. Read more

impl<S> MulAssign<S> for Rad<S>
where S: BaseFloat + MulAssign,

fn mul_assign(&mut self, scalar: S)

Performs the *= operation. Read more

impl<'a, S> Neg for &'a Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the - operator.

fn neg(self) -> Rad<S>

Performs the unary - operation. Read more

impl<S> Neg for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the - operator.

fn neg(self) -> Rad<S>

Performs the unary - operation. Read more

impl<S> PartialEq for Rad<S>
where S: PartialEq,

fn eq(&self, other: &Rad<S>) -> 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.

impl<S> PartialOrd for Rad<S>
where S: PartialOrd,

fn partial_cmp(&self, other: &Rad<S>) -> 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

impl<S> RelativeEq for Rad<S>
where S: BaseFloat,

fn default_max_relative() -> <S as AbsDiffEq>::Epsilon

The default relative tolerance for testing values that are far-apart. Read more

fn relative_eq( &self, other: &Rad<S>, epsilon: <S as AbsDiffEq>::Epsilon, max_relative: <S as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.

fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of RelativeEq::relative_eq.

impl<'a, 'b, S> Rem<&'a Rad<S>> for &'b Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the % operator.

fn rem(self, other: &'a Rad<S>) -> Rad<S>

Performs the % operation. Read more

impl<'a, S> Rem<&'a Rad<S>> for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the % operator.

fn rem(self, other: &'a Rad<S>) -> Rad<S>

Performs the % operation. Read more

impl<'a, S> Rem<Rad<S>> for &'a Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the % operator.

fn rem(self, other: Rad<S>) -> Rad<S>

Performs the % operation. Read more

impl<S> Rem for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the % operator.

fn rem(self, other: Rad<S>) -> Rad<S>

Performs the % operation. Read more

impl<S> RemAssign for Rad<S>
where S: BaseFloat + RemAssign,

fn rem_assign(&mut self, other: Rad<S>)

Performs the %= operation. Read more

impl<'a, 'b, S> Sub<&'a Rad<S>> for &'b Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Rad<S>) -> Rad<S>

Performs the - operation. Read more

impl<'a, S> Sub<&'a Rad<S>> for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Rad<S>) -> Rad<S>

Performs the - operation. Read more

impl<'a, S> Sub<Rad<S>> for &'a Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the - operator.

fn sub(self, other: Rad<S>) -> Rad<S>

Performs the - operation. Read more

impl<S> Sub for Rad<S>
where S: BaseFloat,

type Output = Rad<S>

The resulting type after applying the - operator.

fn sub(self, other: Rad<S>) -> Rad<S>

Performs the - operation. Read more

impl<S> SubAssign for Rad<S>
where S: BaseFloat + SubAssign,

fn sub_assign(&mut self, other: Rad<S>)

Performs the -= operation. Read more

impl<'a, S> Sum<&'a Rad<S>> for Rad<S>
where S: 'a + BaseFloat,

fn sum<I>(iter: I) -> Rad<S>
where I: Iterator<Item = &'a Rad<S>>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<S> Sum for Rad<S>
where S: BaseFloat,

fn sum<I>(iter: I) -> Rad<S>
where I: Iterator<Item = Rad<S>>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<S> UlpsEq for Rad<S>
where S: BaseFloat,

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart. Read more

fn ulps_eq( &self, other: &Rad<S>, epsilon: <S as AbsDiffEq>::Epsilon, max_ulps: u32, ) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of UlpsEq::ulps_eq.

impl<S> Zero for Rad<S>
where S: BaseFloat,

fn zero() -> Rad<S>

Returns the additive identity element of Self, 0. Read more

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<S> Copy for Rad<S>
where S: Copy,

impl<S> StructuralPartialEq for Rad<S>

Auto Trait Implementations§

impl<S> Freeze for Rad<S>
where S: Freeze,

impl<S> RefUnwindSafe for Rad<S>
where S: RefUnwindSafe,

impl<S> Send for Rad<S>
where S: Send,

impl<S> Sync for Rad<S>
where S: Sync,

impl<S> Unpin for Rad<S>
where S: Unpin,

impl<S> UnwindSafe for Rad<S>
where S: UnwindSafe,

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more

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

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

Mutably borrows from an owned value. Read more

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

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

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

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.

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.

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.

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.

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

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

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

impl<T> From<T> for T

fn from(t: T) -> T

Returns the argument unchanged.

impl<T> Instrument for T

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

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

fn in_current_span(self) -> Instrumented<Self>

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

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

fn into(self) -> U

Calls U::from(self).

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

impl<Target, Original> Into2<Target> for Original
where Target: From2<Original>,

fn into2(self) -> Target

Performs the conversion.

impl<T> LowerBounded for T
where T: Bounded,

fn min_value() -> T

Returns the smallest finite number this type can represent

impl<T> Same for T

type Output = T

Should always be Self

impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

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

type Owned = T

The resulting type after obtaining ownership.

fn to_owned(&self) -> T

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

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

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

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

type Error = Infallible

The type returned in the event of a conversion error.

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

Performs the conversion.

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.

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

Performs the conversion.

impl<T> UpperBounded for T
where T: Bounded,

fn max_value() -> T

Returns the largest finite number this type can represent

impl<T> WithSubscriber for T

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

fn with_current_subscriber(self) -> WithDispatch<Self>

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

impl<T, Right> ClosedAdd<Right> for T
where T: Add<Right, Output = T> + AddAssign<Right>,

impl<T, Right> ClosedAddAssign<Right> for T
where T: ClosedAdd<Right> + AddAssign<Right>,

impl<T, Right> ClosedDiv<Right> for T
where T: Div<Right, Output = T> + DivAssign<Right>,

impl<T, Right> ClosedDivAssign<Right> for T
where T: ClosedDiv<Right> + DivAssign<Right>,

impl<T, Right> ClosedMul<Right> for T
where T: Mul<Right, Output = T> + MulAssign<Right>,

impl<T, Right> ClosedMulAssign<Right> for T
where T: ClosedMul<Right> + MulAssign<Right>,

impl<T> ClosedNeg for T
where T: Neg<Output = T>,

impl<T, Right> ClosedSub<Right> for T
where T: Sub<Right, Output = T> + SubAssign<Right>,

impl<T, Right> ClosedSubAssign<Right> for T
where T: ClosedSub<Right> + SubAssign<Right>,

impl<T, Rhs> NumAssignOps<Rhs> for T
where T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>,

impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,