Trait nalgebra::SimdComplexField

pub trait SimdComplexField: 'static + SubsetOf<Self> + SupersetOf<f64> + Field<Output = Self> + Copy + Neg + Send + Sync + Any + Debug + NumAssignOps<Self> + NumOps<Self, Self> + PartialEq<Self> {
    type SimdRealField: SimdRealField;
    pub fn from_simd_real(re: Self::SimdRealField) -> Self;
    pub fn simd_real(self) -> Self::SimdRealField;
    pub fn simd_imaginary(self) -> Self::SimdRealField;
    pub fn simd_modulus(self) -> Self::SimdRealField;
    pub fn simd_modulus_squared(self) -> Self::SimdRealField;
    pub fn simd_argument(self) -> Self::SimdRealField;
    pub fn simd_norm1(self) -> Self::SimdRealField;
    pub fn simd_scale(self, factor: Self::SimdRealField) -> Self;
    pub fn simd_unscale(self, factor: Self::SimdRealField) -> Self;
    pub fn simd_floor(self) -> Self;
    pub fn simd_ceil(self) -> Self;
    pub fn simd_round(self) -> Self;
    pub fn simd_trunc(self) -> Self;
    pub fn simd_fract(self) -> Self;
    pub fn simd_mul_add(self, a: Self, b: Self) -> Self;
    pub fn simd_abs(self) -> Self::SimdRealField;
    pub fn simd_hypot(self, other: Self) -> Self::SimdRealField;
    pub fn simd_recip(self) -> Self;
    pub fn simd_conjugate(self) -> Self;
    pub fn simd_sin(self) -> Self;
    pub fn simd_cos(self) -> Self;
    pub fn simd_sin_cos(self) -> (Self, Self);
    pub fn simd_tan(self) -> Self;
    pub fn simd_asin(self) -> Self;
    pub fn simd_acos(self) -> Self;
    pub fn simd_atan(self) -> Self;
    pub fn simd_sinh(self) -> Self;
    pub fn simd_cosh(self) -> Self;
    pub fn simd_tanh(self) -> Self;
    pub fn simd_asinh(self) -> Self;
    pub fn simd_acosh(self) -> Self;
    pub fn simd_atanh(self) -> Self;
    pub fn simd_log(self, base: Self::SimdRealField) -> Self;
    pub fn simd_log2(self) -> Self;
    pub fn simd_log10(self) -> Self;
    pub fn simd_ln(self) -> Self;
    pub fn simd_ln_1p(self) -> Self;
    pub fn simd_sqrt(self) -> Self;
    pub fn simd_exp(self) -> Self;
    pub fn simd_exp2(self) -> Self;
    pub fn simd_exp_m1(self) -> Self;
    pub fn simd_powi(self, n: i32) -> Self;
    pub fn simd_powf(self, n: Self::SimdRealField) -> Self;
    pub fn simd_powc(self, n: Self) -> Self;
    pub fn simd_cbrt(self) -> Self;

    pub fn simd_to_polar(self) -> (Self::SimdRealField, Self::SimdRealField) { ... }
    pub fn simd_to_exp(self) -> (Self::SimdRealField, Self) { ... }
    pub fn simd_signum(self) -> Self { ... }
    pub fn simd_sinh_cosh(self) -> (Self, Self) { ... }
    pub fn simd_sinc(self) -> Self { ... }
    pub fn simd_sinhc(self) -> Self { ... }
    pub fn simd_cosc(self) -> Self { ... }
    pub fn simd_coshc(self) -> Self { ... }
}

Lane-wise generalisation of ComplexField for SIMD complex fields.

Each lane of an SIMD complex field should contain one complex field.

Associated Types

type SimdRealField: SimdRealField

Type of the coefficients of a complex number.

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Required methods

pub fn from_simd_real(re: Self::SimdRealField) -> Self

Builds a pure-real complex number from the given value.

pub fn simd_real(self) -> Self::SimdRealField

The real part of this complex number.

pub fn simd_imaginary(self) -> Self::SimdRealField

The imaginary part of this complex number.

pub fn simd_modulus(self) -> Self::SimdRealField

The modulus of this complex number.

pub fn simd_modulus_squared(self) -> Self::SimdRealField

The squared modulus of this complex number.

pub fn simd_argument(self) -> Self::SimdRealField

The argument of this complex number.

pub fn simd_norm1(self) -> Self::SimdRealField

The sum of the absolute value of this complex number’s real and imaginary part.

pub fn simd_scale(self, factor: Self::SimdRealField) -> Self

Multiplies this complex number by factor.

pub fn simd_unscale(self, factor: Self::SimdRealField) -> Self

Divides this complex number by factor.

pub fn simd_floor(self) -> Self

pub fn simd_ceil(self) -> Self

pub fn simd_round(self) -> Self

pub fn simd_trunc(self) -> Self

pub fn simd_fract(self) -> Self

pub fn simd_mul_add(self, a: Self, b: Self) -> Self

pub fn simd_abs(self) -> Self::SimdRealField

The absolute value of this complex number: self / self.signum().

This is equivalent to self.modulus().

pub fn simd_hypot(self, other: Self) -> Self::SimdRealField

Computes (self.conjugate() * self + other.conjugate() * other).sqrt()

pub fn simd_recip(self) -> Self

pub fn simd_conjugate(self) -> Self

pub fn simd_sin(self) -> Self

pub fn simd_cos(self) -> Self

pub fn simd_sin_cos(self) -> (Self, Self)

pub fn simd_tan(self) -> Self

pub fn simd_asin(self) -> Self

pub fn simd_acos(self) -> Self

pub fn simd_atan(self) -> Self

pub fn simd_sinh(self) -> Self

pub fn simd_cosh(self) -> Self

pub fn simd_tanh(self) -> Self

pub fn simd_asinh(self) -> Self

pub fn simd_acosh(self) -> Self

pub fn simd_atanh(self) -> Self

pub fn simd_log(self, base: Self::SimdRealField) -> Self

pub fn simd_log2(self) -> Self

pub fn simd_log10(self) -> Self

pub fn simd_ln(self) -> Self

pub fn simd_ln_1p(self) -> Self

pub fn simd_sqrt(self) -> Self

pub fn simd_exp(self) -> Self

pub fn simd_exp2(self) -> Self

pub fn simd_exp_m1(self) -> Self

pub fn simd_powi(self, n: i32) -> Self

pub fn simd_powf(self, n: Self::SimdRealField) -> Self

pub fn simd_powc(self, n: Self) -> Self

pub fn simd_cbrt(self) -> Self

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Provided methods

pub fn simd_to_polar(self) -> (Self::SimdRealField, Self::SimdRealField)

The polar form of this complex number: (modulus, arg)

pub fn simd_to_exp(self) -> (Self::SimdRealField, Self)

The exponential form of this complex number: (modulus, e^{i arg})

pub fn simd_signum(self) -> Self

The exponential part of this complex number: self / self.modulus()

pub fn simd_sinh_cosh(self) -> (Self, Self)

pub fn simd_sinc(self) -> Self

Cardinal sine

pub fn simd_sinhc(self) -> Self

pub fn simd_cosc(self) -> Self

Cardinal cos

pub fn simd_coshc(self) -> Self

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Implementors

impl<T> SimdComplexField for T where
    T: ComplexField, 

type SimdRealField = <T as ComplexField>::RealField

pub fn from_simd_real(re: <T as SimdComplexField>::SimdRealField) -> T

pub fn simd_real(self) -> <T as SimdComplexField>::SimdRealField

pub fn simd_imaginary(self) -> <T as SimdComplexField>::SimdRealField

pub fn simd_modulus(self) -> <T as SimdComplexField>::SimdRealField

pub fn simd_modulus_squared(self) -> <T as SimdComplexField>::SimdRealField

pub fn simd_argument(self) -> <T as SimdComplexField>::SimdRealField

pub fn simd_norm1(self) -> <T as SimdComplexField>::SimdRealField

pub fn simd_scale(self, factor: <T as SimdComplexField>::SimdRealField) -> T

pub fn simd_unscale(self, factor: <T as SimdComplexField>::SimdRealField) -> T

pub fn simd_to_polar(
    self
) -> (<T as SimdComplexField>::SimdRealField, <T as SimdComplexField>::SimdRealField)

pub fn simd_to_exp(self) -> (<T as SimdComplexField>::SimdRealField, T)

pub fn simd_signum(self) -> T

pub fn simd_floor(self) -> T

pub fn simd_ceil(self) -> T

pub fn simd_round(self) -> T

pub fn simd_trunc(self) -> T

pub fn simd_fract(self) -> T

pub fn simd_mul_add(self, a: T, b: T) -> T

pub fn simd_abs(self) -> <T as SimdComplexField>::SimdRealField

pub fn simd_hypot(self, other: T) -> <T as SimdComplexField>::SimdRealField

pub fn simd_recip(self) -> T

pub fn simd_conjugate(self) -> T

pub fn simd_sin(self) -> T

pub fn simd_cos(self) -> T

pub fn simd_sin_cos(self) -> (T, T)

pub fn simd_sinh_cosh(self) -> (T, T)

pub fn simd_tan(self) -> T

pub fn simd_asin(self) -> T

pub fn simd_acos(self) -> T

pub fn simd_atan(self) -> T

pub fn simd_sinh(self) -> T

pub fn simd_cosh(self) -> T

pub fn simd_tanh(self) -> T

pub fn simd_asinh(self) -> T

pub fn simd_acosh(self) -> T

pub fn simd_atanh(self) -> T

pub fn simd_sinc(self) -> T

pub fn simd_sinhc(self) -> T

pub fn simd_cosc(self) -> T

pub fn simd_coshc(self) -> T

pub fn simd_log(self, base: <T as SimdComplexField>::SimdRealField) -> T

pub fn simd_log2(self) -> T

pub fn simd_log10(self) -> T

pub fn simd_ln(self) -> T

pub fn simd_ln_1p(self) -> T

pub fn simd_sqrt(self) -> T

pub fn simd_exp(self) -> T

pub fn simd_exp2(self) -> T

pub fn simd_exp_m1(self) -> T

pub fn simd_powi(self, n: i32) -> T

pub fn simd_powf(self, n: <T as SimdComplexField>::SimdRealField) -> T

pub fn simd_powc(self, n: T) -> T

pub fn simd_cbrt(self) -> T

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