Struct cgmath::Rad

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

An angle, in radians.

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

Tuple Fields

0: S

Trait Implementations

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

type Epsilon = S::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> S::Epsilon

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

fn abs_diff_eq(&self, other: &Self, epsilon: S::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, S: BaseFloat> Add<&'a Rad<S>> for Rad<S>

type Output = Rad<S>

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Rad<S>

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Rad<S>

The resulting type after applying the + operator.

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

Performs the + operation.

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

type Output = Rad<S>

The resulting type after applying the + operator.

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

Performs the + operation.

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

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

Performs the += operation.

impl<S: BaseFloat> Angle for Rad<S>

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.

fn cos(self) -> S

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

fn tan(self) -> S

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

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

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

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

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

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

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

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

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

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.

fn cot(self) -> Self::Unitless

Compute the cotangent of the angle.

fn sec(self) -> Self::Unitless

Compute the secant of the angle.

impl<S: Bounded> Bounded for Rad<S>

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> Clone for Rad<S>

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

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<S: Debug> Debug for Rad<S>

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

Formats the value using the given formatter.

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

type Output = S

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = S

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = S

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = S

The resulting type after applying the / operator.

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

Performs the / operation.

impl<S: BaseFloat> Div<S> for Rad<S>

type Output = Rad<S>

The resulting type after applying the / operator.

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

Performs the / operation.

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

type Output = Rad<S>

The resulting type after applying the / operator.

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

Performs the / operation.

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

fn div_assign(&mut self, scalar: S)

Performs the /= operation.

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

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

Performs the conversion.

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

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

Performs the conversion.

impl<S: BaseFloat> Mul<S> for Rad<S>

type Output = Rad<S>

The resulting type after applying the * operator.

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

Performs the * operation.

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

type Output = Rad<S>

The resulting type after applying the * operator.

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

Performs the * operation.

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

fn mul_assign(&mut self, scalar: S)

Performs the *= operation.

impl<S: BaseFloat> Neg for Rad<S>

type Output = Rad<S>

The resulting type after applying the - operator.

fn neg(self) -> Rad<S>

Performs the unary - operation.

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

type Output = Rad<S>

The resulting type after applying the - operator.

fn neg(self) -> Rad<S>

Performs the unary - operation.

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

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

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

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

This method tests for !=.

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

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

This method returns an ordering between self and other values if one exists.

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

This method tests less than (for self and other) and is used by the < operator.

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

This method tests less than or equal to (for self and other) and is used by the <= operator.

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

This method tests greater than (for self and other) and is used by the > operator.

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

This method tests greater than or equal to (for self and other) and is used by the >= operator.

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

fn default_max_relative() -> S::Epsilon

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

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::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, S: BaseFloat> Rem<&'a Rad<S>> for Rad<S>

type Output = Rad<S>

The resulting type after applying the % operator.

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

Performs the % operation.

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

type Output = Rad<S>

The resulting type after applying the % operator.

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

Performs the % operation.

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

type Output = Rad<S>

The resulting type after applying the % operator.

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

Performs the % operation.

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

type Output = Rad<S>

The resulting type after applying the % operator.

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

Performs the % operation.

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

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

Performs the %= operation.

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

type Output = Rad<S>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Rad<S>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Rad<S>

The resulting type after applying the - operator.

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

Performs the - operation.

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

type Output = Rad<S>

The resulting type after applying the - operator.

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

Performs the - operation.

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

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

Performs the -= operation.

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

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

Method which takes an iterator and generates Self from the elements by “summing up” the items.

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

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

Method which takes an iterator and generates Self from the elements by “summing up” the items.

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

fn default_max_ulps() -> u32

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

fn ulps_eq(&self, other: &Self, epsilon: S::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: BaseFloat> Zero for Rad<S>

fn zero() -> Rad<S>

Returns the additive identity element of Self, 0.

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> Copy for Rad<S>

impl<S> StructuralPartialEq for Rad<S>