Trait SimdComplexField

pub trait SimdComplexField:
    SubsetOf<Self>
    + SupersetOf<f32>
    + 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

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so 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