Trait heron::rapier_plugin::rapier2d::prelude::nalgebra::ComplexField [−]
pub trait ComplexField: 'static + SubsetOf<Self> + SupersetOf<f64> + Field<Element = Self, SimdBool = bool, Output = Self> + Neg + Clone + Send + Sync + Any + Debug + Display {
type RealField: RealField;
Show 55 methods
fn from_real(re: Self::RealField) -> Self;
fn real(self) -> Self::RealField;
fn imaginary(self) -> Self::RealField;
fn modulus(self) -> Self::RealField;
fn modulus_squared(self) -> Self::RealField;
fn argument(self) -> Self::RealField;
fn norm1(self) -> Self::RealField;
fn scale(self, factor: Self::RealField) -> Self;
fn unscale(self, factor: Self::RealField) -> Self;
fn floor(self) -> Self;
fn ceil(self) -> Self;
fn round(self) -> Self;
fn trunc(self) -> Self;
fn fract(self) -> Self;
fn mul_add(self, a: Self, b: Self) -> Self;
fn abs(self) -> Self::RealField;
fn hypot(self, other: Self) -> Self::RealField;
fn recip(self) -> Self;
fn conjugate(self) -> Self;
fn sin(self) -> Self;
fn cos(self) -> Self;
fn sin_cos(self) -> (Self, Self);
fn tan(self) -> Self;
fn asin(self) -> Self;
fn acos(self) -> Self;
fn atan(self) -> Self;
fn sinh(self) -> Self;
fn cosh(self) -> Self;
fn tanh(self) -> Self;
fn asinh(self) -> Self;
fn acosh(self) -> Self;
fn atanh(self) -> Self;
fn log(self, base: Self::RealField) -> Self;
fn log2(self) -> Self;
fn log10(self) -> Self;
fn ln(self) -> Self;
fn ln_1p(self) -> Self;
fn sqrt(self) -> Self;
fn exp(self) -> Self;
fn exp2(self) -> Self;
fn exp_m1(self) -> Self;
fn powi(self, n: i32) -> Self;
fn powf(self, n: Self::RealField) -> Self;
fn powc(self, n: Self) -> Self;
fn cbrt(self) -> Self;
fn is_finite(&self) -> bool;
fn try_sqrt(self) -> Option<Self>;
fn to_polar(self) -> (Self::RealField, Self::RealField) { ... }
fn to_exp(self) -> (Self::RealField, Self) { ... }
fn signum(self) -> Self { ... }
fn sinh_cosh(self) -> (Self, Self) { ... }
fn sinc(self) -> Self { ... }
fn sinhc(self) -> Self { ... }
fn cosc(self) -> Self { ... }
fn coshc(self) -> Self { ... }
}
Expand description
Trait shared by all complex fields and its subfields (like real numbers).
Complex numbers are equipped with functions that are commonly used on complex numbers and reals. The results of those functions only have to be approximately equal to the actual theoretical values.
Associated Types
Required methods
fn modulus_squared(self) -> Self::RealField
fn modulus_squared(self) -> Self::RealField
The squared modulus of this complex number.
The sum of the absolute value of this complex number’s real and imaginary part.
fn floor(self) -> Self
fn ceil(self) -> Self
fn round(self) -> Self
fn trunc(self) -> Self
fn fract(self) -> Self
fn mul_add(self, a: Self, b: Self) -> Self
The absolute value of this complex number: self / self.signum()
.
This is equivalent to self.modulus()
.
Computes (self.conjugate() * self + other.conjugate() * other).sqrt()
fn recip(self) -> Self
fn conjugate(self) -> Self
fn sin(self) -> Self
fn cos(self) -> Self
fn tan(self) -> Self
fn asin(self) -> Self
fn acos(self) -> Self
fn atan(self) -> Self
fn sinh(self) -> Self
fn cosh(self) -> Self
fn tanh(self) -> Self
fn asinh(self) -> Self
fn acosh(self) -> Self
fn atanh(self) -> Self
fn log2(self) -> Self
fn log10(self) -> Self
fn ln(self) -> Self
fn ln_1p(self) -> Self
fn sqrt(self) -> Self
fn exp(self) -> Self
fn exp2(self) -> Self
fn exp_m1(self) -> Self
fn powc(self, n: Self) -> Self
fn cbrt(self) -> Self
Provided methods
The polar form of this complex number: (modulus, arg)
The exponential form of this complex number: (modulus, e^{i arg})
fn signum(self) -> Self
fn signum(self) -> Self
The exponential part of this complex number: self / self.modulus()
fn sinc(self) -> Self
fn sinc(self) -> Self
Cardinal sine
fn sinhc(self) -> Self
fn cosc(self) -> Self
fn cosc(self) -> Self
Cardinal cos