Trait nannou::math::Angle [−][src]
pub trait Angle: Copy + Clone + PartialEq<Self> + PartialOrd<Self> + ApproxEq<Epsilon = Self::Unitless, Epsilon = Self::Unitless> + Zero<Output = Self, Output = Self> + Neg<Output = Self, Output = Self> + Add<Self> + Sub<Self, Output = Self, Output = Self> + Rem<Self, Output = Self, Output = Self> + Mul<Self::Unitless, Output = Self, Output = Self> + Div<Self, Output = Self::Unitless, Output = Self, Output = Self::Unitless, Output = Self> + Div<Self::Unitless> + Sum<Self> + Copy + Clone + PartialEq<Self> + PartialOrd<Self> + ApproxEq + Zero + Neg + Add<Self> + Sub<Self> + Rem<Self> + Mul<Self::Unitless> + Div<Self> + Div<Self::Unitless> + Sum<Self> { type Unitless: BaseFloat; fn full_turn() -> Self; fn sin(self) -> Self::Unitless; fn cos(self) -> Self::Unitless; fn tan(self) -> Self::Unitless; fn sin_cos(self) -> (Self::Unitless, Self::Unitless); fn asin(ratio: Self::Unitless) -> Self; fn acos(ratio: Self::Unitless) -> Self; fn atan(ratio: Self::Unitless) -> Self; fn atan2(a: Self::Unitless, b: Self::Unitless) -> Self; fn normalize(self) -> Self { ... } fn opposite(self) -> Self { ... } fn bisect(self, other: Self) -> Self { ... } fn turn_div_2() -> Self { ... } fn turn_div_3() -> Self { ... } fn turn_div_4() -> Self { ... } fn turn_div_6() -> Self { ... } fn csc(self) -> Self::Unitless { ... } fn cot(self) -> Self::Unitless { ... } fn sec(self) -> Self::Unitless { ... } }
Angles and their associated trigonometric functions.
Typed angles allow for the writing of self-documenting code that makes it clear when semantic violations have occured - for example, adding degrees to radians, or adding a number to an angle.
Associated Types
Required Methods
fn full_turn() -> Self
A full rotation.
fn sin(self) -> Self::Unitless
Compute the sine of the angle, returning a unitless ratio.
use cgmath::prelude::*; use cgmath::Rad; let angle = Rad(35.0); let ratio: f32 = Rad::sin(angle);
fn cos(self) -> Self::Unitless
Compute the cosine of the angle, returning a unitless ratio.
use cgmath::prelude::*; use cgmath::Rad; let angle = Rad(35.0); let ratio: f32 = Rad::cos(angle);
fn tan(self) -> Self::Unitless
Compute the tangent of the angle, returning a unitless ratio.
use cgmath::prelude::*; use cgmath::Rad; let angle = Rad(35.0); let ratio: f32 = Rad::tan(angle);
fn sin_cos(self) -> (Self::Unitless, Self::Unitless)
Compute the sine and cosine of the angle, returning the result as a pair.
This does not have any performance benefits, but calculating both the sine and cosine of a single angle is a common operation.
use cgmath::prelude::*; use cgmath::Rad; let angle = Rad(35.0); let (s, c) = Rad::sin_cos(angle);
fn asin(ratio: Self::Unitless) -> Self
Compute the arcsine of the ratio, returning the resulting angle.
use cgmath::prelude::*; use cgmath::Rad; let angle: Rad<f32> = Rad::asin(0.5);
fn acos(ratio: Self::Unitless) -> Self
Compute the arccosine of the ratio, returning the resulting angle.
use cgmath::prelude::*; use cgmath::Rad; let angle: Rad<f32> = Rad::acos(0.5);
fn atan(ratio: Self::Unitless) -> Self
Compute the arctangent of the ratio, returning the resulting angle.
use cgmath::prelude::*; use cgmath::Rad; let angle: Rad<f32> = Rad::atan(0.5);
fn atan2(a: Self::Unitless, b: Self::Unitless) -> Self
Provided Methods
fn normalize(self) -> Self
Return the angle, normalized to the range [0, full_turn)
.
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.
This is the same as computing the reciprocal of Self::sin
.
use cgmath::prelude::*; use cgmath::Rad; let angle = Rad(35.0); let ratio: f32 = Rad::csc(angle);
fn cot(self) -> Self::Unitless
Compute the cotangent of the angle.
This is the same as computing the reciprocal of Self::tan
.
use cgmath::prelude::*; use cgmath::Rad; let angle = Rad(35.0); let ratio: f32 = Rad::cot(angle);
fn sec(self) -> Self::Unitless
Compute the secant of the angle.
This is the same as computing the reciprocal of Self::cos
.
use cgmath::prelude::*; use cgmath::Rad; let angle = Rad(35.0); let ratio: f32 = Rad::sec(angle);