Trait simba::simd::SimdComplexField

pub trait SimdComplexField: SubsetOf<Self> + SupersetOf<f64> + Field + Clone + Neg<Output = Self> + Send + Sync + Any + 'static + Debug + NumAssignOps + NumOps + PartialEq {
    type SimdRealField: SimdRealField<SimdBool = <Self as SimdValue>::SimdBool>;

    // Required methods
    fn from_simd_real(re: Self::SimdRealField) -> Self;
    fn simd_real(self) -> Self::SimdRealField;
    fn simd_imaginary(self) -> Self::SimdRealField;
    fn simd_modulus(self) -> Self::SimdRealField;
    fn simd_modulus_squared(self) -> Self::SimdRealField;
    fn simd_argument(self) -> Self::SimdRealField;
    fn simd_norm1(self) -> Self::SimdRealField;
    fn simd_scale(self, factor: Self::SimdRealField) -> Self;
    fn simd_unscale(self, factor: Self::SimdRealField) -> Self;
    fn simd_floor(self) -> Self;
    fn simd_ceil(self) -> Self;
    fn simd_round(self) -> Self;
    fn simd_trunc(self) -> Self;
    fn simd_fract(self) -> Self;
    fn simd_mul_add(self, a: Self, b: Self) -> Self;
    fn simd_abs(self) -> Self::SimdRealField;
    fn simd_hypot(self, other: Self) -> Self::SimdRealField;
    fn simd_recip(self) -> Self;
    fn simd_conjugate(self) -> Self;
    fn simd_sin(self) -> Self;
    fn simd_cos(self) -> Self;
    fn simd_sin_cos(self) -> (Self, Self);
    fn simd_tan(self) -> Self;
    fn simd_asin(self) -> Self;
    fn simd_acos(self) -> Self;
    fn simd_atan(self) -> Self;
    fn simd_sinh(self) -> Self;
    fn simd_cosh(self) -> Self;
    fn simd_tanh(self) -> Self;
    fn simd_asinh(self) -> Self;
    fn simd_acosh(self) -> Self;
    fn simd_atanh(self) -> Self;
    fn simd_log(self, base: Self::SimdRealField) -> Self;
    fn simd_log2(self) -> Self;
    fn simd_log10(self) -> Self;
    fn simd_ln(self) -> Self;
    fn simd_ln_1p(self) -> Self;
    fn simd_sqrt(self) -> Self;
    fn simd_exp(self) -> Self;
    fn simd_exp2(self) -> Self;
    fn simd_exp_m1(self) -> Self;
    fn simd_powi(self, n: i32) -> Self;
    fn simd_powf(self, n: Self::SimdRealField) -> Self;
    fn simd_powc(self, n: Self) -> Self;
    fn simd_cbrt(self) -> Self;
    fn simd_horizontal_sum(self) -> Self::Element;
    fn simd_horizontal_product(self) -> Self::Element;

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

Required Associated Types

type SimdRealField: SimdRealField<SimdBool = <Self as SimdValue>::SimdBool>

Type of the coefficients of a complex number.

Required Methods

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

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

fn simd_real(self) -> Self::SimdRealField

The real part of this complex number.

fn simd_imaginary(self) -> Self::SimdRealField

The imaginary part of this complex number.

fn simd_modulus(self) -> Self::SimdRealField

The modulus of this complex number.

fn simd_modulus_squared(self) -> Self::SimdRealField

The squared modulus of this complex number.

fn simd_argument(self) -> Self::SimdRealField

The argument of this complex number.

fn simd_norm1(self) -> Self::SimdRealField

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

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

Multiplies this complex number by factor.

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

Divides this complex number by factor.

fn simd_floor(self) -> Self

fn simd_ceil(self) -> Self

fn simd_round(self) -> Self

fn simd_trunc(self) -> Self

fn simd_fract(self) -> Self

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

fn simd_abs(self) -> Self::SimdRealField

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

This is equivalent to self.modulus().

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

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

fn simd_recip(self) -> Self

fn simd_conjugate(self) -> Self

fn simd_sin(self) -> Self

fn simd_cos(self) -> Self

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

fn simd_tan(self) -> Self

fn simd_asin(self) -> Self

fn simd_acos(self) -> Self

fn simd_atan(self) -> Self

fn simd_sinh(self) -> Self

fn simd_cosh(self) -> Self

fn simd_tanh(self) -> Self

fn simd_asinh(self) -> Self

fn simd_acosh(self) -> Self

fn simd_atanh(self) -> Self

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

fn simd_log2(self) -> Self

fn simd_log10(self) -> Self

fn simd_ln(self) -> Self

fn simd_ln_1p(self) -> Self

fn simd_sqrt(self) -> Self

fn simd_exp(self) -> Self

fn simd_exp2(self) -> Self

fn simd_exp_m1(self) -> Self

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

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

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

fn simd_cbrt(self) -> Self

fn simd_horizontal_sum(self) -> Self::Element

Computes the sum of all the lanes of self.

fn simd_horizontal_product(self) -> Self::Element

Computes the product of all the lanes of self.

Provided Methods

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

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

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

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

fn simd_signum(self) -> Self

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

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

fn simd_sinc(self) -> Self

Cardinal sine

fn simd_sinhc(self) -> Self

fn simd_cosc(self) -> Self

Cardinal cos

fn simd_coshc(self) -> Self

Object Safety

This trait is not object safe.

Implementations on Foreign Types

impl SimdComplexField for Complex<AutoSimd<[f32; 2]>>

fn simd_exp(self) -> Self

Computes e^(self), where e is the base of the natural logarithm.

fn simd_ln(self) -> Self

Computes the principal value of natural logarithm of self.

This function has one branch cut:

• (-∞, 0], continuous from above.

The branch satisfies -π ≤ arg(ln(z)) ≤ π.

fn simd_sqrt(self) -> Self

Computes the principal value of the square root of self.

This function has one branch cut:

• (-∞, 0), continuous from above.

The branch satisfies -π/2 ≤ arg(sqrt(z)) ≤ π/2.

fn simd_powf(self, exp: Self::SimdRealField) -> Self

Raises self to a floating point power.

fn simd_log(self, base: AutoSimd<[f32; 2]>) -> Self

Returns the logarithm of self with respect to an arbitrary base.

fn simd_powc(self, exp: Self) -> Self

Raises self to a complex power.

fn simd_sin(self) -> Self

Computes the sine of self.

fn simd_cos(self) -> Self

Computes the cosine of self.

fn simd_tan(self) -> Self

Computes the tangent of self.

fn simd_asin(self) -> Self

Computes the principal value of the inverse sine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Re(asin(z)) ≤ π/2.

fn simd_acos(self) -> Self

Computes the principal value of the inverse cosine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies 0 ≤ Re(acos(z)) ≤ π.

fn simd_atan(self) -> Self

Computes the principal value of the inverse tangent of self.

This function has two branch cuts:

• (-∞i, -i], continuous from the left.
• [i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Re(atan(z)) ≤ π/2.

fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

fn simd_asinh(self) -> Self

Computes the principal value of inverse hyperbolic sine of self.

This function has two branch cuts:

• (-∞i, -i), continuous from the left.
• (i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Im(asinh(z)) ≤ π/2.

fn simd_acosh(self) -> Self

Computes the principal value of inverse hyperbolic cosine of self.

This function has one branch cut:

• (-∞, 1), continuous from above.

The branch satisfies -π ≤ Im(acosh(z)) ≤ π and 0 ≤ Re(acosh(z)) < ∞.

fn simd_atanh(self) -> Self

Computes the principal value of inverse hyperbolic tangent of self.

This function has two branch cuts:

• (-∞, -1], continuous from above.
• [1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Im(atanh(z)) ≤ π/2.

type SimdRealField = AutoSimd<[f32; 2]>

fn simd_horizontal_sum(self) -> Self::Element

fn simd_horizontal_product(self) -> Self::Element

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

fn simd_real(self) -> Self::SimdRealField

fn simd_imaginary(self) -> Self::SimdRealField

fn simd_argument(self) -> Self::SimdRealField

fn simd_modulus(self) -> Self::SimdRealField

fn simd_modulus_squared(self) -> Self::SimdRealField

fn simd_norm1(self) -> Self::SimdRealField

fn simd_recip(self) -> Self

fn simd_conjugate(self) -> Self

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

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

fn simd_floor(self) -> Self

fn simd_ceil(self) -> Self

fn simd_round(self) -> Self

fn simd_trunc(self) -> Self

fn simd_fract(self) -> Self

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

fn simd_abs(self) -> Self::SimdRealField

fn simd_exp2(self) -> Self

fn simd_exp_m1(self) -> Self

fn simd_ln_1p(self) -> Self

fn simd_log2(self) -> Self

fn simd_log10(self) -> Self

fn simd_cbrt(self) -> Self

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

fn simd_hypot(self, b: Self) -> Self::SimdRealField

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

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

impl SimdComplexField for Complex<AutoSimd<[f32; 4]>>

fn simd_exp(self) -> Self

Computes e^(self), where e is the base of the natural logarithm.

fn simd_ln(self) -> Self

Computes the principal value of natural logarithm of self.

This function has one branch cut:

• (-∞, 0], continuous from above.

The branch satisfies -π ≤ arg(ln(z)) ≤ π.

fn simd_sqrt(self) -> Self

Computes the principal value of the square root of self.

This function has one branch cut:

• (-∞, 0), continuous from above.

The branch satisfies -π/2 ≤ arg(sqrt(z)) ≤ π/2.

fn simd_powf(self, exp: Self::SimdRealField) -> Self

Raises self to a floating point power.

fn simd_log(self, base: AutoSimd<[f32; 4]>) -> Self

Returns the logarithm of self with respect to an arbitrary base.

fn simd_powc(self, exp: Self) -> Self

Raises self to a complex power.

fn simd_sin(self) -> Self

Computes the sine of self.

fn simd_cos(self) -> Self

Computes the cosine of self.

fn simd_tan(self) -> Self

Computes the tangent of self.

fn simd_asin(self) -> Self

Computes the principal value of the inverse sine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Re(asin(z)) ≤ π/2.

fn simd_acos(self) -> Self

Computes the principal value of the inverse cosine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies 0 ≤ Re(acos(z)) ≤ π.

fn simd_atan(self) -> Self

Computes the principal value of the inverse tangent of self.

This function has two branch cuts:

• (-∞i, -i], continuous from the left.
• [i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Re(atan(z)) ≤ π/2.

fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

fn simd_asinh(self) -> Self

Computes the principal value of inverse hyperbolic sine of self.

This function has two branch cuts:

• (-∞i, -i), continuous from the left.
• (i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Im(asinh(z)) ≤ π/2.

fn simd_acosh(self) -> Self

Computes the principal value of inverse hyperbolic cosine of self.

This function has one branch cut:

• (-∞, 1), continuous from above.

The branch satisfies -π ≤ Im(acosh(z)) ≤ π and 0 ≤ Re(acosh(z)) < ∞.

fn simd_atanh(self) -> Self

Computes the principal value of inverse hyperbolic tangent of self.

This function has two branch cuts:

• (-∞, -1], continuous from above.
• [1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Im(atanh(z)) ≤ π/2.

type SimdRealField = AutoSimd<[f32; 4]>

fn simd_horizontal_sum(self) -> Self::Element

fn simd_horizontal_product(self) -> Self::Element

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

fn simd_real(self) -> Self::SimdRealField

fn simd_imaginary(self) -> Self::SimdRealField

fn simd_argument(self) -> Self::SimdRealField

fn simd_modulus(self) -> Self::SimdRealField

fn simd_modulus_squared(self) -> Self::SimdRealField

fn simd_norm1(self) -> Self::SimdRealField

fn simd_recip(self) -> Self

fn simd_conjugate(self) -> Self

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

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

fn simd_floor(self) -> Self

fn simd_ceil(self) -> Self

fn simd_round(self) -> Self

fn simd_trunc(self) -> Self

fn simd_fract(self) -> Self

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

fn simd_abs(self) -> Self::SimdRealField

fn simd_exp2(self) -> Self

fn simd_exp_m1(self) -> Self

fn simd_ln_1p(self) -> Self

fn simd_log2(self) -> Self

fn simd_log10(self) -> Self

fn simd_cbrt(self) -> Self

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

fn simd_hypot(self, b: Self) -> Self::SimdRealField

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

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

impl SimdComplexField for Complex<AutoSimd<[f32; 8]>>

fn simd_exp(self) -> Self

Computes e^(self), where e is the base of the natural logarithm.

fn simd_ln(self) -> Self

Computes the principal value of natural logarithm of self.

This function has one branch cut:

• (-∞, 0], continuous from above.

The branch satisfies -π ≤ arg(ln(z)) ≤ π.

fn simd_sqrt(self) -> Self

Computes the principal value of the square root of self.

This function has one branch cut:

• (-∞, 0), continuous from above.

The branch satisfies -π/2 ≤ arg(sqrt(z)) ≤ π/2.

fn simd_powf(self, exp: Self::SimdRealField) -> Self

Raises self to a floating point power.

fn simd_log(self, base: AutoSimd<[f32; 8]>) -> Self

Returns the logarithm of self with respect to an arbitrary base.

fn simd_powc(self, exp: Self) -> Self

Raises self to a complex power.

fn simd_sin(self) -> Self

Computes the sine of self.

fn simd_cos(self) -> Self

Computes the cosine of self.

fn simd_tan(self) -> Self

Computes the tangent of self.

fn simd_asin(self) -> Self

Computes the principal value of the inverse sine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Re(asin(z)) ≤ π/2.

fn simd_acos(self) -> Self

Computes the principal value of the inverse cosine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies 0 ≤ Re(acos(z)) ≤ π.

fn simd_atan(self) -> Self

Computes the principal value of the inverse tangent of self.

This function has two branch cuts:

• (-∞i, -i], continuous from the left.
• [i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Re(atan(z)) ≤ π/2.

fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

fn simd_asinh(self) -> Self

Computes the principal value of inverse hyperbolic sine of self.

This function has two branch cuts:

• (-∞i, -i), continuous from the left.
• (i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Im(asinh(z)) ≤ π/2.

fn simd_acosh(self) -> Self

Computes the principal value of inverse hyperbolic cosine of self.

This function has one branch cut:

• (-∞, 1), continuous from above.

The branch satisfies -π ≤ Im(acosh(z)) ≤ π and 0 ≤ Re(acosh(z)) < ∞.

fn simd_atanh(self) -> Self

Computes the principal value of inverse hyperbolic tangent of self.

This function has two branch cuts:

• (-∞, -1], continuous from above.
• [1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Im(atanh(z)) ≤ π/2.

type SimdRealField = AutoSimd<[f32; 8]>

fn simd_horizontal_sum(self) -> Self::Element

fn simd_horizontal_product(self) -> Self::Element

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

fn simd_real(self) -> Self::SimdRealField

fn simd_imaginary(self) -> Self::SimdRealField

fn simd_argument(self) -> Self::SimdRealField

fn simd_modulus(self) -> Self::SimdRealField

fn simd_modulus_squared(self) -> Self::SimdRealField

fn simd_norm1(self) -> Self::SimdRealField

fn simd_recip(self) -> Self

fn simd_conjugate(self) -> Self

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

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

fn simd_floor(self) -> Self

fn simd_ceil(self) -> Self

fn simd_round(self) -> Self

fn simd_trunc(self) -> Self

fn simd_fract(self) -> Self

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

fn simd_abs(self) -> Self::SimdRealField

fn simd_exp2(self) -> Self

fn simd_exp_m1(self) -> Self

fn simd_ln_1p(self) -> Self

fn simd_log2(self) -> Self

fn simd_log10(self) -> Self

fn simd_cbrt(self) -> Self

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

fn simd_hypot(self, b: Self) -> Self::SimdRealField

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

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

impl SimdComplexField for Complex<AutoSimd<[f32; 16]>>

fn simd_exp(self) -> Self

Computes e^(self), where e is the base of the natural logarithm.

fn simd_ln(self) -> Self

Computes the principal value of natural logarithm of self.

This function has one branch cut:

• (-∞, 0], continuous from above.

The branch satisfies -π ≤ arg(ln(z)) ≤ π.

fn simd_sqrt(self) -> Self

Computes the principal value of the square root of self.

This function has one branch cut:

• (-∞, 0), continuous from above.

The branch satisfies -π/2 ≤ arg(sqrt(z)) ≤ π/2.

fn simd_powf(self, exp: Self::SimdRealField) -> Self

Raises self to a floating point power.

fn simd_log(self, base: AutoSimd<[f32; 16]>) -> Self

Returns the logarithm of self with respect to an arbitrary base.

fn simd_powc(self, exp: Self) -> Self

Raises self to a complex power.

fn simd_sin(self) -> Self

Computes the sine of self.

fn simd_cos(self) -> Self

Computes the cosine of self.

fn simd_tan(self) -> Self

Computes the tangent of self.

fn simd_asin(self) -> Self

Computes the principal value of the inverse sine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Re(asin(z)) ≤ π/2.

fn simd_acos(self) -> Self

Computes the principal value of the inverse cosine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies 0 ≤ Re(acos(z)) ≤ π.

fn simd_atan(self) -> Self

Computes the principal value of the inverse tangent of self.

This function has two branch cuts:

• (-∞i, -i], continuous from the left.
• [i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Re(atan(z)) ≤ π/2.

fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

fn simd_asinh(self) -> Self

Computes the principal value of inverse hyperbolic sine of self.

This function has two branch cuts:

• (-∞i, -i), continuous from the left.
• (i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Im(asinh(z)) ≤ π/2.

fn simd_acosh(self) -> Self

Computes the principal value of inverse hyperbolic cosine of self.

This function has one branch cut:

• (-∞, 1), continuous from above.

The branch satisfies -π ≤ Im(acosh(z)) ≤ π and 0 ≤ Re(acosh(z)) < ∞.

fn simd_atanh(self) -> Self

Computes the principal value of inverse hyperbolic tangent of self.

This function has two branch cuts:

• (-∞, -1], continuous from above.
• [1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Im(atanh(z)) ≤ π/2.

type SimdRealField = AutoSimd<[f32; 16]>

fn simd_horizontal_sum(self) -> Self::Element

fn simd_horizontal_product(self) -> Self::Element

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

fn simd_real(self) -> Self::SimdRealField

fn simd_imaginary(self) -> Self::SimdRealField

fn simd_argument(self) -> Self::SimdRealField

fn simd_modulus(self) -> Self::SimdRealField

fn simd_modulus_squared(self) -> Self::SimdRealField

fn simd_norm1(self) -> Self::SimdRealField

fn simd_recip(self) -> Self

fn simd_conjugate(self) -> Self

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

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

fn simd_floor(self) -> Self

fn simd_ceil(self) -> Self

fn simd_round(self) -> Self

fn simd_trunc(self) -> Self

fn simd_fract(self) -> Self

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

fn simd_abs(self) -> Self::SimdRealField

fn simd_exp2(self) -> Self

fn simd_exp_m1(self) -> Self

fn simd_ln_1p(self) -> Self

fn simd_log2(self) -> Self

fn simd_log10(self) -> Self

fn simd_cbrt(self) -> Self

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

fn simd_hypot(self, b: Self) -> Self::SimdRealField

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

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

impl SimdComplexField for Complex<AutoSimd<[f64; 2]>>

fn simd_exp(self) -> Self

Computes e^(self), where e is the base of the natural logarithm.

fn simd_ln(self) -> Self

Computes the principal value of natural logarithm of self.

This function has one branch cut:

• (-∞, 0], continuous from above.

The branch satisfies -π ≤ arg(ln(z)) ≤ π.

fn simd_sqrt(self) -> Self

Computes the principal value of the square root of self.

This function has one branch cut:

• (-∞, 0), continuous from above.

The branch satisfies -π/2 ≤ arg(sqrt(z)) ≤ π/2.

fn simd_powf(self, exp: Self::SimdRealField) -> Self

Raises self to a floating point power.

fn simd_log(self, base: AutoSimd<[f64; 2]>) -> Self

Returns the logarithm of self with respect to an arbitrary base.

fn simd_powc(self, exp: Self) -> Self

Raises self to a complex power.

fn simd_sin(self) -> Self

Computes the sine of self.

fn simd_cos(self) -> Self

Computes the cosine of self.

fn simd_tan(self) -> Self

Computes the tangent of self.

fn simd_asin(self) -> Self

Computes the principal value of the inverse sine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Re(asin(z)) ≤ π/2.

fn simd_acos(self) -> Self

Computes the principal value of the inverse cosine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies 0 ≤ Re(acos(z)) ≤ π.

fn simd_atan(self) -> Self

Computes the principal value of the inverse tangent of self.

This function has two branch cuts:

• (-∞i, -i], continuous from the left.
• [i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Re(atan(z)) ≤ π/2.

fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

fn simd_asinh(self) -> Self

Computes the principal value of inverse hyperbolic sine of self.

This function has two branch cuts:

• (-∞i, -i), continuous from the left.
• (i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Im(asinh(z)) ≤ π/2.

fn simd_acosh(self) -> Self

Computes the principal value of inverse hyperbolic cosine of self.

This function has one branch cut:

• (-∞, 1), continuous from above.

The branch satisfies -π ≤ Im(acosh(z)) ≤ π and 0 ≤ Re(acosh(z)) < ∞.

fn simd_atanh(self) -> Self

Computes the principal value of inverse hyperbolic tangent of self.

This function has two branch cuts:

• (-∞, -1], continuous from above.
• [1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Im(atanh(z)) ≤ π/2.

type SimdRealField = AutoSimd<[f64; 2]>

fn simd_horizontal_sum(self) -> Self::Element

fn simd_horizontal_product(self) -> Self::Element

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

fn simd_real(self) -> Self::SimdRealField

fn simd_imaginary(self) -> Self::SimdRealField

fn simd_argument(self) -> Self::SimdRealField

fn simd_modulus(self) -> Self::SimdRealField

fn simd_modulus_squared(self) -> Self::SimdRealField

fn simd_norm1(self) -> Self::SimdRealField

fn simd_recip(self) -> Self

fn simd_conjugate(self) -> Self

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

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

fn simd_floor(self) -> Self

fn simd_ceil(self) -> Self

fn simd_round(self) -> Self

fn simd_trunc(self) -> Self

fn simd_fract(self) -> Self

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

fn simd_abs(self) -> Self::SimdRealField

fn simd_exp2(self) -> Self

fn simd_exp_m1(self) -> Self

fn simd_ln_1p(self) -> Self

fn simd_log2(self) -> Self

fn simd_log10(self) -> Self

fn simd_cbrt(self) -> Self

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

fn simd_hypot(self, b: Self) -> Self::SimdRealField

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

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

impl SimdComplexField for Complex<AutoSimd<[f64; 4]>>

fn simd_exp(self) -> Self

Computes e^(self), where e is the base of the natural logarithm.

fn simd_ln(self) -> Self

Computes the principal value of natural logarithm of self.

This function has one branch cut:

• (-∞, 0], continuous from above.

The branch satisfies -π ≤ arg(ln(z)) ≤ π.

fn simd_sqrt(self) -> Self

Computes the principal value of the square root of self.

This function has one branch cut:

• (-∞, 0), continuous from above.

The branch satisfies -π/2 ≤ arg(sqrt(z)) ≤ π/2.

fn simd_powf(self, exp: Self::SimdRealField) -> Self

Raises self to a floating point power.

fn simd_log(self, base: AutoSimd<[f64; 4]>) -> Self

Returns the logarithm of self with respect to an arbitrary base.

fn simd_powc(self, exp: Self) -> Self

Raises self to a complex power.

fn simd_sin(self) -> Self

Computes the sine of self.

fn simd_cos(self) -> Self

Computes the cosine of self.

fn simd_tan(self) -> Self

Computes the tangent of self.

fn simd_asin(self) -> Self

Computes the principal value of the inverse sine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Re(asin(z)) ≤ π/2.

fn simd_acos(self) -> Self

Computes the principal value of the inverse cosine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies 0 ≤ Re(acos(z)) ≤ π.

fn simd_atan(self) -> Self

Computes the principal value of the inverse tangent of self.

This function has two branch cuts:

• (-∞i, -i], continuous from the left.
• [i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Re(atan(z)) ≤ π/2.

fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

fn simd_asinh(self) -> Self

Computes the principal value of inverse hyperbolic sine of self.

This function has two branch cuts:

• (-∞i, -i), continuous from the left.
• (i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Im(asinh(z)) ≤ π/2.

fn simd_acosh(self) -> Self

Computes the principal value of inverse hyperbolic cosine of self.

This function has one branch cut:

• (-∞, 1), continuous from above.

The branch satisfies -π ≤ Im(acosh(z)) ≤ π and 0 ≤ Re(acosh(z)) < ∞.

fn simd_atanh(self) -> Self

Computes the principal value of inverse hyperbolic tangent of self.

This function has two branch cuts:

• (-∞, -1], continuous from above.
• [1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Im(atanh(z)) ≤ π/2.

type SimdRealField = AutoSimd<[f64; 4]>

fn simd_horizontal_sum(self) -> Self::Element

fn simd_horizontal_product(self) -> Self::Element

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

fn simd_real(self) -> Self::SimdRealField

fn simd_imaginary(self) -> Self::SimdRealField

fn simd_argument(self) -> Self::SimdRealField

fn simd_modulus(self) -> Self::SimdRealField

fn simd_modulus_squared(self) -> Self::SimdRealField

fn simd_norm1(self) -> Self::SimdRealField

fn simd_recip(self) -> Self

fn simd_conjugate(self) -> Self

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

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

fn simd_floor(self) -> Self

fn simd_ceil(self) -> Self

fn simd_round(self) -> Self

fn simd_trunc(self) -> Self

fn simd_fract(self) -> Self

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

fn simd_abs(self) -> Self::SimdRealField

fn simd_exp2(self) -> Self

fn simd_exp_m1(self) -> Self

fn simd_ln_1p(self) -> Self

fn simd_log2(self) -> Self

fn simd_log10(self) -> Self

fn simd_cbrt(self) -> Self

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

fn simd_hypot(self, b: Self) -> Self::SimdRealField

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

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

impl SimdComplexField for Complex<AutoSimd<[f64; 8]>>

fn simd_exp(self) -> Self

Computes e^(self), where e is the base of the natural logarithm.

fn simd_ln(self) -> Self

Computes the principal value of natural logarithm of self.

This function has one branch cut:

• (-∞, 0], continuous from above.

The branch satisfies -π ≤ arg(ln(z)) ≤ π.

fn simd_sqrt(self) -> Self

Computes the principal value of the square root of self.

This function has one branch cut:

• (-∞, 0), continuous from above.

The branch satisfies -π/2 ≤ arg(sqrt(z)) ≤ π/2.

fn simd_powf(self, exp: Self::SimdRealField) -> Self

Raises self to a floating point power.

fn simd_log(self, base: AutoSimd<[f64; 8]>) -> Self

Returns the logarithm of self with respect to an arbitrary base.

fn simd_powc(self, exp: Self) -> Self

Raises self to a complex power.

fn simd_sin(self) -> Self

Computes the sine of self.

fn simd_cos(self) -> Self

Computes the cosine of self.

fn simd_tan(self) -> Self

Computes the tangent of self.

fn simd_asin(self) -> Self

Computes the principal value of the inverse sine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Re(asin(z)) ≤ π/2.

fn simd_acos(self) -> Self

Computes the principal value of the inverse cosine of self.

This function has two branch cuts:

• (-∞, -1), continuous from above.
• (1, ∞), continuous from below.

The branch satisfies 0 ≤ Re(acos(z)) ≤ π.

fn simd_atan(self) -> Self

Computes the principal value of the inverse tangent of self.

This function has two branch cuts:

• (-∞i, -i], continuous from the left.
• [i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Re(atan(z)) ≤ π/2.

fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

fn simd_asinh(self) -> Self

Computes the principal value of inverse hyperbolic sine of self.

This function has two branch cuts:

• (-∞i, -i), continuous from the left.
• (i, ∞i), continuous from the right.

The branch satisfies -π/2 ≤ Im(asinh(z)) ≤ π/2.

fn simd_acosh(self) -> Self

Computes the principal value of inverse hyperbolic cosine of self.

This function has one branch cut:

• (-∞, 1), continuous from above.

The branch satisfies -π ≤ Im(acosh(z)) ≤ π and 0 ≤ Re(acosh(z)) < ∞.

fn simd_atanh(self) -> Self

Computes the principal value of inverse hyperbolic tangent of self.

This function has two branch cuts:

• (-∞, -1], continuous from above.
• [1, ∞), continuous from below.

The branch satisfies -π/2 ≤ Im(atanh(z)) ≤ π/2.

type SimdRealField = AutoSimd<[f64; 8]>

fn simd_horizontal_sum(self) -> Self::Element

fn simd_horizontal_product(self) -> Self::Element

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

fn simd_real(self) -> Self::SimdRealField

fn simd_imaginary(self) -> Self::SimdRealField

fn simd_argument(self) -> Self::SimdRealField

fn simd_modulus(self) -> Self::SimdRealField

fn simd_modulus_squared(self) -> Self::SimdRealField

fn simd_norm1(self) -> Self::SimdRealField

fn simd_recip(self) -> Self

fn simd_conjugate(self) -> Self

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

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

fn simd_floor(self) -> Self

fn simd_ceil(self) -> Self

fn simd_round(self) -> Self

fn simd_trunc(self) -> Self

fn simd_fract(self) -> Self

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

fn simd_abs(self) -> Self::SimdRealField

fn simd_exp2(self) -> Self

fn simd_exp_m1(self) -> Self

fn simd_ln_1p(self) -> Self

fn simd_log2(self) -> Self

fn simd_log10(self) -> Self

fn simd_cbrt(self) -> Self

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

fn simd_hypot(self, b: Self) -> Self::SimdRealField

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

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

Implementors

impl SimdComplexField for AutoSimd<[f32; 2]>

type SimdRealField = AutoSimd<[f32; 2]>

impl SimdComplexField for AutoSimd<[f32; 4]>

type SimdRealField = AutoSimd<[f32; 4]>

impl SimdComplexField for AutoSimd<[f32; 8]>

type SimdRealField = AutoSimd<[f32; 8]>

impl SimdComplexField for AutoSimd<[f32; 16]>

type SimdRealField = AutoSimd<[f32; 16]>

impl SimdComplexField for AutoSimd<[f64; 2]>

type SimdRealField = AutoSimd<[f64; 2]>

impl SimdComplexField for AutoSimd<[f64; 4]>

type SimdRealField = AutoSimd<[f64; 4]>

impl SimdComplexField for AutoSimd<[f64; 8]>

type SimdRealField = AutoSimd<[f64; 8]>

impl<T: ComplexField> SimdComplexField for T

type SimdRealField = <T as ComplexField>::RealField