Trait simba::simd::SimdComplexField

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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>;

Show 55 methods // 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 { ... }
}
Expand description

Lane-wise generalisation of ComplexField for SIMD complex fields.

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

Required Associated Types§

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

Type of the coefficients of a complex number.

Required Methods§

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

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

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fn simd_real(self) -> Self::SimdRealField

The real part of this complex number.

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fn simd_imaginary(self) -> Self::SimdRealField

The imaginary part of this complex number.

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fn simd_modulus(self) -> Self::SimdRealField

The modulus of this complex number.

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fn simd_modulus_squared(self) -> Self::SimdRealField

The squared modulus of this complex number.

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fn simd_argument(self) -> Self::SimdRealField

The argument of this complex number.

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fn simd_norm1(self) -> Self::SimdRealField

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

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

Multiplies this complex number by factor.

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

Divides this complex number by factor.

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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

This is equivalent to self.modulus().

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

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

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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fn simd_sin(self) -> Self

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fn simd_cos(self) -> Self

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

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fn simd_tan(self) -> Self

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fn simd_asin(self) -> Self

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fn simd_acos(self) -> Self

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fn simd_atan(self) -> Self

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fn simd_sinh(self) -> Self

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fn simd_cosh(self) -> Self

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fn simd_tanh(self) -> Self

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fn simd_asinh(self) -> Self

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fn simd_acosh(self) -> Self

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fn simd_atanh(self) -> Self

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

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_ln(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_sqrt(self) -> Self

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fn simd_exp(self) -> Self

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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

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

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

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fn simd_cbrt(self) -> Self

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fn simd_horizontal_sum(self) -> Self::Element

Computes the sum of all the lanes of self.

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fn simd_horizontal_product(self) -> Self::Element

Computes the product of all the lanes of self.

Provided Methods§

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

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

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

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

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fn simd_signum(self) -> Self

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

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

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fn simd_sinc(self) -> Self

Cardinal sine

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fn simd_sinhc(self) -> Self

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fn simd_cosc(self) -> Self

Cardinal cos

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fn simd_coshc(self) -> Self

Object Safety§

This trait is not object safe.

Implementations on Foreign Types§

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

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = AutoSimd<[f32; 2]>

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = AutoSimd<[f32; 4]>

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = AutoSimd<[f32; 8]>

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = AutoSimd<[f32; 16]>

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = AutoSimd<[f64; 2]>

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = AutoSimd<[f64; 4]>

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = AutoSimd<[f64; 8]>

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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impl SimdComplexField for Complex<WideF32x4>

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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fn simd_log(self, base: WideF32x4) -> Self

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = WideF32x4

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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impl SimdComplexField for Complex<WideF32x8>

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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fn simd_log(self, base: WideF32x8) -> Self

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = WideF32x8

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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impl SimdComplexField for Complex<WideF64x4>

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fn simd_exp(self) -> Self

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

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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.

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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.

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

Raises self to a floating point power.

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fn simd_log(self, base: WideF64x4) -> Self

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

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

Raises self to a complex power.

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fn simd_sin(self) -> Self

Computes the sine of self.

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fn simd_cos(self) -> Self

Computes the cosine of self.

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fn simd_tan(self) -> Self

Computes the tangent of self.

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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.

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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.

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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.

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fn simd_sinh(self) -> Self

Computes the hyperbolic sine of self.

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fn simd_cosh(self) -> Self

Computes the hyperbolic cosine of self.

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fn simd_tanh(self) -> Self

Computes the hyperbolic tangent of self.

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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.

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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)) < ∞.

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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.

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type SimdRealField = WideF64x4

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fn simd_horizontal_sum(self) -> Self::Element

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fn simd_horizontal_product(self) -> Self::Element

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

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fn simd_real(self) -> Self::SimdRealField

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fn simd_imaginary(self) -> Self::SimdRealField

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fn simd_argument(self) -> Self::SimdRealField

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fn simd_modulus(self) -> Self::SimdRealField

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fn simd_modulus_squared(self) -> Self::SimdRealField

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fn simd_norm1(self) -> Self::SimdRealField

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fn simd_recip(self) -> Self

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fn simd_conjugate(self) -> Self

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

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

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fn simd_floor(self) -> Self

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fn simd_ceil(self) -> Self

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fn simd_round(self) -> Self

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fn simd_trunc(self) -> Self

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fn simd_fract(self) -> Self

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

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fn simd_abs(self) -> Self::SimdRealField

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fn simd_exp2(self) -> Self

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fn simd_exp_m1(self) -> Self

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fn simd_ln_1p(self) -> Self

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fn simd_log2(self) -> Self

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fn simd_log10(self) -> Self

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fn simd_cbrt(self) -> Self

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

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

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

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

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