Struct nalgebra::Complex

#[repr(C)]pub struct Complex<T> {
    pub re: T,
    pub im: T,
}

A complex number in Cartesian form.

Representation and Foreign Function Interface Compatibility

Complex<T> is memory layout compatible with an array [T; 2].

Note that Complex<F> where F is a floating point type is only memory layout compatible with C's complex types, not necessarily calling convention compatible. This means that for FFI you can only pass Complex<F> behind a pointer, not as a value.

Examples

Example of extern function declaration.

use num_complex::Complex;
use std::os::raw::c_int;

extern "C" {
    fn zaxpy_(n: *const c_int, alpha: *const Complex<f64>,
              x: *const Complex<f64>, incx: *const c_int,
              y: *mut Complex<f64>, incy: *const c_int);
}

Fields

re: T

Real portion of the complex number

im: T

Imaginary portion of the complex number

Implementations

impl<T> Complex<T>

pub const fn new(re: T, im: T) -> Complex<T>

Create a new Complex

impl<T> Complex<T> where
    T: Clone + Num, 

pub fn i() -> Complex<T>

Returns imaginary unit

pub fn norm_sqr(&self) -> T

Returns the square of the norm (since T doesn't necessarily have a sqrt function), i.e. re^2 + im^2.

pub fn scale(&self, t: T) -> Complex<T>

Multiplies self by the scalar t.

pub fn unscale(&self, t: T) -> Complex<T>

Divides self by the scalar t.

pub fn powu(&self, exp: u32) -> Complex<T>

Raises self to an unsigned integer power.

impl<T> Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

pub fn conj(&self) -> Complex<T>

Returns the complex conjugate. i.e. re - i im

pub fn inv(&self) -> Complex<T>

Returns 1/self

pub fn powi(&self, exp: i32) -> Complex<T>

Raises self to a signed integer power.

impl<T> Complex<T> where
    T: Clone + Signed, 

pub fn l1_norm(&self) -> T

Returns the L1 norm |re| + |im| -- the Manhattan distance from the origin.

impl<T> Complex<T> where
    T: FloatCore, 

pub fn is_nan(self) -> bool

Checks if the given complex number is NaN

pub fn is_infinite(self) -> bool

Checks if the given complex number is infinite

pub fn is_finite(self) -> bool

Checks if the given complex number is finite

pub fn is_normal(self) -> bool

Checks if the given complex number is normal

Trait Implementations

impl<'a, T> Add<&'a Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the + operator.

pub fn add(
    self,
    other: &Complex<T>
) -> <Complex<T> as Add<&'a Complex<T>>>::Output

Performs the + operation.

impl<'a, 'b, T> Add<&'a T> for &'b Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the + operator.

pub fn add(self, other: &T) -> <&'b Complex<T> as Add<&'a T>>::Output

Performs the + operation.

impl<'a, T> Add<&'a T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the + operator.

pub fn add(self, other: &T) -> <Complex<T> as Add<&'a T>>::Output

Performs the + operation.

impl<'a, 'b, T> Add<&'b Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the + operator.

pub fn add(
    self,
    other: &Complex<T>
) -> <&'a Complex<T> as Add<&'b Complex<T>>>::Output

Performs the + operation.

impl<'a, T> Add<Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the + operator.

pub fn add(
    self,
    other: Complex<T>
) -> <&'a Complex<T> as Add<Complex<T>>>::Output

Performs the + operation.

impl<T> Add<Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the + operator.

pub fn add(self, other: Complex<T>) -> <Complex<T> as Add<Complex<T>>>::Output

Performs the + operation.

impl<'a, T> Add<T> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the + operator.

pub fn add(self, other: T) -> <&'a Complex<T> as Add<T>>::Output

Performs the + operation.

impl<T> Add<T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the + operator.

pub fn add(self, other: T) -> <Complex<T> as Add<T>>::Output

Performs the + operation.

impl<'a, T> AddAssign<&'a Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn add_assign(&mut self, other: &Complex<T>)

Performs the += operation.

impl<'a, T> AddAssign<&'a T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn add_assign(&mut self, other: &T)

Performs the += operation.

impl<T> AddAssign<Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn add_assign(&mut self, other: Complex<T>)

Performs the += operation.

impl<T> AddAssign<T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn add_assign(&mut self, other: T)

Performs the += operation.

impl<T, U> AsPrimitive<U> for Complex<T> where
    T: AsPrimitive<U>,
    U: 'static + Copy, 

pub fn as_(self) -> U

Convert a value to another, using the as operator.

impl<T> Binary for Complex<T> where
    T: Binary + Num + PartialOrd<T> + Clone, 

pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<T> Clone for Complex<T> where
    T: Clone, 

pub fn clone(&self) -> Complex<T>

Returns a copy of the value.

pub fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<N> ComplexField for Complex<N> where
    N: RealField + PartialOrd<N>, 

type RealField = N

pub fn from_real(re: <Complex<N> as ComplexField>::RealField) -> Complex<N>

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

pub fn real(self) -> <Complex<N> as ComplexField>::RealField

The real part of this complex number.

pub fn imaginary(self) -> <Complex<N> as ComplexField>::RealField

The imaginary part of this complex number.

pub fn argument(self) -> <Complex<N> as ComplexField>::RealField

The argument of this complex number.

pub fn modulus(self) -> <Complex<N> as ComplexField>::RealField

The modulus of this complex number.

pub fn modulus_squared(self) -> <Complex<N> as ComplexField>::RealField

The squared modulus of this complex number.

pub fn norm1(self) -> <Complex<N> as ComplexField>::RealField

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

pub fn recip(self) -> Complex<N>

pub fn conjugate(self) -> Complex<N>

pub fn scale(
    self,
    factor: <Complex<N> as ComplexField>::RealField
) -> Complex<N>

Multiplies this complex number by factor.

pub fn unscale(
    self,
    factor: <Complex<N> as ComplexField>::RealField
) -> Complex<N>

Divides this complex number by factor.

pub fn floor(self) -> Complex<N>

pub fn ceil(self) -> Complex<N>

pub fn round(self) -> Complex<N>

pub fn trunc(self) -> Complex<N>

pub fn fract(self) -> Complex<N>

pub fn mul_add(self, a: Complex<N>, b: Complex<N>) -> Complex<N>

pub fn abs(self) -> <Complex<N> as ComplexField>::RealField

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

pub fn exp2(self) -> Complex<N>

pub fn exp_m1(self) -> Complex<N>

pub fn ln_1p(self) -> Complex<N>

pub fn log2(self) -> Complex<N>

pub fn log10(self) -> Complex<N>

pub fn cbrt(self) -> Complex<N>

pub fn powi(self, n: i32) -> Complex<N>

pub fn is_finite(&self) -> bool

pub fn exp(self) -> Complex<N>

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

pub fn ln(self) -> Complex<N>

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.

pub fn sqrt(self) -> Complex<N>

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.

pub fn try_sqrt(self) -> Option<Complex<N>>

pub fn hypot(self, b: Complex<N>) -> <Complex<N> as ComplexField>::RealField

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

pub fn powf(self, exp: <Complex<N> as ComplexField>::RealField) -> Complex<N>

Raises self to a floating point power.

pub fn log(self, base: N) -> Complex<N>

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

pub fn powc(self, exp: Complex<N>) -> Complex<N>

Raises self to a complex power.

pub fn sin(self) -> Complex<N>

Computes the sine of self.

pub fn cos(self) -> Complex<N>

Computes the cosine of self.

pub fn sin_cos(self) -> (Complex<N>, Complex<N>)

pub fn tan(self) -> Complex<N>

Computes the tangent of self.

pub fn asin(self) -> Complex<N>

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.

pub fn acos(self) -> Complex<N>

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.

pub fn atan(self) -> Complex<N>

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.

pub fn sinh(self) -> Complex<N>

Computes the hyperbolic sine of self.

pub fn cosh(self) -> Complex<N>

Computes the hyperbolic cosine of self.

pub fn sinh_cosh(self) -> (Complex<N>, Complex<N>)

pub fn tanh(self) -> Complex<N>

Computes the hyperbolic tangent of self.

pub fn asinh(self) -> Complex<N>

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.

pub fn acosh(self) -> Complex<N>

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)) < ∞.

pub fn atanh(self) -> Complex<N>

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.

pub fn to_polar(self) -> (Self::RealField, Self::RealField)

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

pub fn to_exp(self) -> (Self::RealField, Self)

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

pub fn signum(self) -> Self

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

pub fn sinc(self) -> Self

Cardinal sine

pub fn sinhc(self) -> Self

pub fn cosc(self) -> Self

Cardinal cos

pub fn coshc(self) -> Self

impl<T> Copy for Complex<T> where
    T: Copy, 

impl<T> Debug for Complex<T> where
    T: Debug, 

pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<T> Default for Complex<T> where
    T: Default, 

pub fn default() -> Complex<T>

Returns the "default value" for a type.

impl<T> Display for Complex<T> where
    T: Display + Num + PartialOrd<T> + Clone, 

pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<'a, T> Div<&'a Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the / operator.

pub fn div(
    self,
    other: &Complex<T>
) -> <Complex<T> as Div<&'a Complex<T>>>::Output

Performs the / operation.

impl<'a, T> Div<&'a T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the / operator.

pub fn div(self, other: &T) -> <Complex<T> as Div<&'a T>>::Output

Performs the / operation.

impl<'a, 'b, T> Div<&'a T> for &'b Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the / operator.

pub fn div(self, other: &T) -> <&'b Complex<T> as Div<&'a T>>::Output

Performs the / operation.

impl<'a, 'b, T> Div<&'b Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the / operator.

pub fn div(
    self,
    other: &Complex<T>
) -> <&'a Complex<T> as Div<&'b Complex<T>>>::Output

Performs the / operation.

impl<'a, T> Div<Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the / operator.

pub fn div(
    self,
    other: Complex<T>
) -> <&'a Complex<T> as Div<Complex<T>>>::Output

Performs the / operation.

impl<T> Div<Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the / operator.

pub fn div(self, other: Complex<T>) -> <Complex<T> as Div<Complex<T>>>::Output

Performs the / operation.

impl<'a, T> Div<T> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the / operator.

pub fn div(self, other: T) -> <&'a Complex<T> as Div<T>>::Output

Performs the / operation.

impl<T> Div<T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the / operator.

pub fn div(self, other: T) -> <Complex<T> as Div<T>>::Output

Performs the / operation.

impl<'a, T> DivAssign<&'a Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn div_assign(&mut self, other: &Complex<T>)

Performs the /= operation.

impl<'a, T> DivAssign<&'a T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn div_assign(&mut self, other: &T)

Performs the /= operation.

impl<T> DivAssign<Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn div_assign(&mut self, other: Complex<T>)

Performs the /= operation.

impl<T> DivAssign<T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn div_assign(&mut self, other: T)

Performs the /= operation.

impl<T> Eq for Complex<T> where
    T: Eq, 

impl<N> Field for Complex<N> where
    N: ClosedNeg + SimdValue + Clone + NumAssign, 

impl<'a, T> From<&'a T> for Complex<T> where
    T: Clone + Num, 

pub fn from(re: &T) -> Complex<T>

Performs the conversion.

impl<T> From<T> for Complex<T> where
    T: Clone + Num, 

pub fn from(re: T) -> Complex<T>

Performs the conversion.

impl<T> FromPrimitive for Complex<T> where
    T: FromPrimitive + Num, 

pub fn from_usize(n: usize) -> Option<Complex<T>>

Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_isize(n: isize) -> Option<Complex<T>>

Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_u8(n: u8) -> Option<Complex<T>>

Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_u16(n: u16) -> Option<Complex<T>>

Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_u32(n: u32) -> Option<Complex<T>>

Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_u64(n: u64) -> Option<Complex<T>>

Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_i8(n: i8) -> Option<Complex<T>>

Converts an i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_i16(n: i16) -> Option<Complex<T>>

Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_i32(n: i32) -> Option<Complex<T>>

Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_i64(n: i64) -> Option<Complex<T>>

Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_u128(n: u128) -> Option<Complex<T>>

Converts an u128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_i128(n: i128) -> Option<Complex<T>>

Converts an i128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_f32(n: f32) -> Option<Complex<T>>

Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

pub fn from_f64(n: f64) -> Option<Complex<T>>

Converts a f64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

impl<T> FromStr for Complex<T> where
    T: FromStr + Num + Clone, 

type Err = ParseComplexError<<T as FromStr>::Err>

The associated error which can be returned from parsing.

pub fn from_str(s: &str) -> Result<Complex<T>, <Complex<T> as FromStr>::Err>

Parses a +/- bi; ai +/- b; a; or bi where a and b are of type T

impl<T> Hash for Complex<T> where
    T: Hash, 

pub fn hash<__H>(&self, state: &mut __H) where
    __H: Hasher, 

Feeds this value into the given Hasher.

pub fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher, 

Feeds a slice of this type into the given Hasher.

impl<T> Inv for Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn inv(self) -> <Complex<T> as Inv>::Output

Returns the multiplicative inverse of self.

impl<'a, T> Inv for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn inv(self) -> <&'a Complex<T> as Inv>::Output

Returns the multiplicative inverse of self.

impl<T> LowerExp for Complex<T> where
    T: LowerExp + Num + PartialOrd<T> + Clone, 

pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<T> LowerHex for Complex<T> where
    T: LowerHex + Num + PartialOrd<T> + Clone, 

pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<'a, T> Mul<&'a Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the * operator.

pub fn mul(
    self,
    other: &Complex<T>
) -> <Complex<T> as Mul<&'a Complex<T>>>::Output

Performs the * operation.

impl<'a, 'b, T> Mul<&'a T> for &'b Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the * operator.

pub fn mul(self, other: &T) -> <&'b Complex<T> as Mul<&'a T>>::Output

Performs the * operation.

impl<'a, T> Mul<&'a T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the * operator.

pub fn mul(self, other: &T) -> <Complex<T> as Mul<&'a T>>::Output

Performs the * operation.

impl<'a, 'b, T> Mul<&'b Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the * operator.

pub fn mul(
    self,
    other: &Complex<T>
) -> <&'a Complex<T> as Mul<&'b Complex<T>>>::Output

Performs the * operation.

impl<T> Mul<Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the * operator.

pub fn mul(self, other: Complex<T>) -> <Complex<T> as Mul<Complex<T>>>::Output

Performs the * operation.

impl<'a, T> Mul<Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the * operator.

pub fn mul(
    self,
    other: Complex<T>
) -> <&'a Complex<T> as Mul<Complex<T>>>::Output

Performs the * operation.

impl<T> Mul<T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the * operator.

pub fn mul(self, other: T) -> <Complex<T> as Mul<T>>::Output

Performs the * operation.

impl<'a, T> Mul<T> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the * operator.

pub fn mul(self, other: T) -> <&'a Complex<T> as Mul<T>>::Output

Performs the * operation.

impl<'a, 'b, T> MulAdd<&'b Complex<T>, &'a Complex<T>> for &'a Complex<T> where
    T: Clone + MulAdd<T, T, Output = T> + Num, 

type Output = Complex<T>

The resulting type after applying the fused multiply-add.

pub fn mul_add(self, other: &Complex<T>, add: &Complex<T>) -> Complex<T>

Performs the fused multiply-add operation.

impl<T> MulAdd<Complex<T>, Complex<T>> for Complex<T> where
    T: Clone + MulAdd<T, T, Output = T> + Num, 

type Output = Complex<T>

The resulting type after applying the fused multiply-add.

pub fn mul_add(self, other: Complex<T>, add: Complex<T>) -> Complex<T>

Performs the fused multiply-add operation.

impl<'a, 'b, T> MulAddAssign<&'a Complex<T>, &'b Complex<T>> for Complex<T> where
    T: Clone + MulAddAssign<T, T> + NumAssign, 

pub fn mul_add_assign(&mut self, other: &Complex<T>, add: &Complex<T>)

Performs the fused multiply-add operation.

impl<T> MulAddAssign<Complex<T>, Complex<T>> for Complex<T> where
    T: Clone + MulAddAssign<T, T> + NumAssign, 

pub fn mul_add_assign(&mut self, other: Complex<T>, add: Complex<T>)

Performs the fused multiply-add operation.

impl<'a, T> MulAssign<&'a Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn mul_assign(&mut self, other: &Complex<T>)

Performs the *= operation.

impl<'a, T> MulAssign<&'a T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn mul_assign(&mut self, other: &T)

Performs the *= operation.

impl<T> MulAssign<Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn mul_assign(&mut self, other: Complex<T>)

Performs the *= operation.

impl<T> MulAssign<T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn mul_assign(&mut self, other: T)

Performs the *= operation.

impl<'a, T> Neg for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn neg(self) -> <&'a Complex<T> as Neg>::Output

Performs the unary - operation.

impl<T> Neg for Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn neg(self) -> <Complex<T> as Neg>::Output

Performs the unary - operation.

impl<N: SimdRealField> Normed for Complex<N>

type Norm = N::SimdRealField

The type of the norm.

pub fn norm(&self) -> N::SimdRealField

Computes the norm.

pub fn norm_squared(&self) -> N::SimdRealField

Computes the squared norm.

pub fn scale_mut(&mut self, n: Self::Norm)

Multiply self by n.

pub fn unscale_mut(&mut self, n: Self::Norm)

Divides self by n.

impl<T> Num for Complex<T> where
    T: Clone + Num, 

type FromStrRadixErr = ParseComplexError<<T as Num>::FromStrRadixErr>

pub fn from_str_radix(
    s: &str,
    radix: u32
) -> Result<Complex<T>, <Complex<T> as Num>::FromStrRadixErr>

Parses a +/- bi; ai +/- b; a; or bi where a and b are of type T

impl<T> NumCast for Complex<T> where
    T: NumCast + Num, 

pub fn from<U>(n: U) -> Option<Complex<T>> where
    U: ToPrimitive, 

Creates a number from another value that can be converted into a primitive via the ToPrimitive trait. If the source value cannot be represented by the target type, then None is returned.

impl<T> Octal for Complex<T> where
    T: Octal + Num + PartialOrd<T> + Clone, 

pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<T> One for Complex<T> where
    T: Clone + Num, 

pub fn one() -> Complex<T>

Returns the multiplicative identity element of Self, 1.

pub fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.

pub fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

impl<T> PartialEq<Complex<T>> for Complex<T> where
    T: PartialEq<T>, 

pub fn eq(&self, other: &Complex<T>) -> bool

This method tests for self and other values to be equal, and is used by ==.

pub fn ne(&self, other: &Complex<T>) -> bool

This method tests for !=.

impl<'a, 'b, T> Pow<&'b i128> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &i128) -> <&'a Complex<T> as Pow<&'b i128>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b i16> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &i16) -> <&'a Complex<T> as Pow<&'b i16>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b i32> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &i32) -> <&'a Complex<T> as Pow<&'b i32>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b i64> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &i64) -> <&'a Complex<T> as Pow<&'b i64>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b i8> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &i8) -> <&'a Complex<T> as Pow<&'b i8>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b isize> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &isize) -> <&'a Complex<T> as Pow<&'b isize>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b u128> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &u128) -> <&'a Complex<T> as Pow<&'b u128>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b u16> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &u16) -> <&'a Complex<T> as Pow<&'b u16>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b u32> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &u32) -> <&'a Complex<T> as Pow<&'b u32>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b u64> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &u64) -> <&'a Complex<T> as Pow<&'b u64>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b u8> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &u8) -> <&'a Complex<T> as Pow<&'b u8>>::Output

Returns self to the power rhs.

impl<'a, 'b, T> Pow<&'b usize> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: &usize) -> <&'a Complex<T> as Pow<&'b usize>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<i128> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: i128) -> <&'a Complex<T> as Pow<i128>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<i16> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: i16) -> <&'a Complex<T> as Pow<i16>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<i32> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: i32) -> <&'a Complex<T> as Pow<i32>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<i64> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: i64) -> <&'a Complex<T> as Pow<i64>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<i8> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: i8) -> <&'a Complex<T> as Pow<i8>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<isize> for &'a Complex<T> where
    T: Clone + Neg<Output = T> + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: isize) -> <&'a Complex<T> as Pow<isize>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<u128> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: u128) -> <&'a Complex<T> as Pow<u128>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<u16> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: u16) -> <&'a Complex<T> as Pow<u16>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<u32> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: u32) -> <&'a Complex<T> as Pow<u32>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<u64> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: u64) -> <&'a Complex<T> as Pow<u64>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<u8> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: u8) -> <&'a Complex<T> as Pow<u8>>::Output

Returns self to the power rhs.

impl<'a, T> Pow<usize> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The result after applying the operator.

pub fn pow(self, exp: usize) -> <&'a Complex<T> as Pow<usize>>::Output

Returns self to the power rhs.

impl<N> PrimitiveSimdValue for Complex<N> where
    N: PrimitiveSimdValue, 

impl<'a, T> Product<&'a Complex<T>> for Complex<T> where
    T: 'a + Clone + Num, 

pub fn product<I>(iter: I) -> Complex<T> where
    I: Iterator<Item = &'a Complex<T>>, 

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl<T> Product<Complex<T>> for Complex<T> where
    T: Clone + Num, 

pub fn product<I>(iter: I) -> Complex<T> where
    I: Iterator<Item = Complex<T>>, 

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl<'a, T> Rem<&'a Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the % operator.

pub fn rem(
    self,
    other: &Complex<T>
) -> <Complex<T> as Rem<&'a Complex<T>>>::Output

Performs the % operation.

impl<'a, 'b, T> Rem<&'a T> for &'b Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the % operator.

pub fn rem(self, other: &T) -> <&'b Complex<T> as Rem<&'a T>>::Output

Performs the % operation.

impl<'a, T> Rem<&'a T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the % operator.

pub fn rem(self, other: &T) -> <Complex<T> as Rem<&'a T>>::Output

Performs the % operation.

impl<'a, 'b, T> Rem<&'b Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the % operator.

pub fn rem(
    self,
    other: &Complex<T>
) -> <&'a Complex<T> as Rem<&'b Complex<T>>>::Output

Performs the % operation.

impl<T> Rem<Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the % operator.

pub fn rem(self, modulus: Complex<T>) -> <Complex<T> as Rem<Complex<T>>>::Output

Performs the % operation.

impl<'a, T> Rem<Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the % operator.

pub fn rem(
    self,
    other: Complex<T>
) -> <&'a Complex<T> as Rem<Complex<T>>>::Output

Performs the % operation.

impl<'a, T> Rem<T> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the % operator.

pub fn rem(self, other: T) -> <&'a Complex<T> as Rem<T>>::Output

Performs the % operation.

impl<T> Rem<T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the % operator.

pub fn rem(self, other: T) -> <Complex<T> as Rem<T>>::Output

Performs the % operation.

impl<'a, T> RemAssign<&'a Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn rem_assign(&mut self, other: &Complex<T>)

Performs the %= operation.

impl<'a, T> RemAssign<&'a T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn rem_assign(&mut self, other: &T)

Performs the %= operation.

impl<T> RemAssign<Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn rem_assign(&mut self, modulus: Complex<T>)

Performs the %= operation.

impl<T> RemAssign<T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn rem_assign(&mut self, other: T)

Performs the %= operation.

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

type SimdRealField = AutoSimd<[f32; 4]>

Type of the coefficients of a complex number.

pub fn from_simd_real(
    re: <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 4]>>

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

pub fn simd_real(
    self
) -> <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField

The real part of this complex number.

pub fn simd_imaginary(
    self
) -> <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField

The imaginary part of this complex number.

pub fn simd_argument(
    self
) -> <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField

The argument of this complex number.

pub fn simd_modulus(
    self
) -> <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField

The modulus of this complex number.

pub fn simd_modulus_squared(
    self
) -> <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField

The squared modulus of this complex number.

pub fn simd_norm1(
    self
) -> <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField

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

pub fn simd_recip(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_conjugate(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_scale(
    self,
    factor: <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 4]>>

Multiplies this complex number by factor.

pub fn simd_unscale(
    self,
    factor: <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 4]>>

Divides this complex number by factor.

pub fn simd_floor(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_ceil(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_round(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_trunc(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_fract(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_mul_add(
    self,
    a: Complex<AutoSimd<[f32; 4]>>,
    b: Complex<AutoSimd<[f32; 4]>>
) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_abs(
    self
) -> <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField

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

pub fn simd_exp2(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_exp_m1(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_ln_1p(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_log2(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_log10(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_cbrt(self) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_powi(self, n: i32) -> Complex<AutoSimd<[f32; 4]>>

pub fn simd_exp(self) -> Complex<AutoSimd<[f32; 4]>>

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

pub fn simd_ln(self) -> Complex<AutoSimd<[f32; 4]>>

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.

pub fn simd_sqrt(self) -> Complex<AutoSimd<[f32; 4]>>

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.

pub fn simd_hypot(
    self,
    b: Complex<AutoSimd<[f32; 4]>>
) -> <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField

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

pub fn simd_powf(
    self,
    exp: <Complex<AutoSimd<[f32; 4]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 4]>>

Raises self to a floating point power.

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

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

pub fn simd_powc(
    self,
    exp: Complex<AutoSimd<[f32; 4]>>
) -> Complex<AutoSimd<[f32; 4]>>

Raises self to a complex power.

pub fn simd_sin(self) -> Complex<AutoSimd<[f32; 4]>>

Computes the sine of self.

pub fn simd_cos(self) -> Complex<AutoSimd<[f32; 4]>>

Computes the cosine of self.

pub fn simd_sin_cos(
    self
) -> (Complex<AutoSimd<[f32; 4]>>, Complex<AutoSimd<[f32; 4]>>)

pub fn simd_tan(self) -> Complex<AutoSimd<[f32; 4]>>

Computes the tangent of self.

pub fn simd_asin(self) -> Complex<AutoSimd<[f32; 4]>>

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.

pub fn simd_acos(self) -> Complex<AutoSimd<[f32; 4]>>

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.

pub fn simd_atan(self) -> Complex<AutoSimd<[f32; 4]>>

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.

pub fn simd_sinh(self) -> Complex<AutoSimd<[f32; 4]>>

Computes the hyperbolic sine of self.

pub fn simd_cosh(self) -> Complex<AutoSimd<[f32; 4]>>

Computes the hyperbolic cosine of self.

pub fn simd_sinh_cosh(
    self
) -> (Complex<AutoSimd<[f32; 4]>>, Complex<AutoSimd<[f32; 4]>>)

pub fn simd_tanh(self) -> Complex<AutoSimd<[f32; 4]>>

Computes the hyperbolic tangent of self.

pub fn simd_asinh(self) -> Complex<AutoSimd<[f32; 4]>>

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.

pub fn simd_acosh(self) -> Complex<AutoSimd<[f32; 4]>>

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)) < ∞.

pub fn simd_atanh(self) -> Complex<AutoSimd<[f32; 4]>>

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.

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

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

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

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

pub fn simd_signum(self) -> Self

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

pub fn simd_sinc(self) -> Self

Cardinal sine

pub fn simd_sinhc(self) -> Self

pub fn simd_cosc(self) -> Self

Cardinal cos

pub fn simd_coshc(self) -> Self

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

type SimdRealField = AutoSimd<[f32; 2]>

Type of the coefficients of a complex number.

pub fn from_simd_real(
    re: <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 2]>>

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

pub fn simd_real(
    self
) -> <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField

The real part of this complex number.

pub fn simd_imaginary(
    self
) -> <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField

The imaginary part of this complex number.

pub fn simd_argument(
    self
) -> <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField

The argument of this complex number.

pub fn simd_modulus(
    self
) -> <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField

The modulus of this complex number.

pub fn simd_modulus_squared(
    self
) -> <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField

The squared modulus of this complex number.

pub fn simd_norm1(
    self
) -> <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField

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

pub fn simd_recip(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_conjugate(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_scale(
    self,
    factor: <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 2]>>

Multiplies this complex number by factor.

pub fn simd_unscale(
    self,
    factor: <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 2]>>

Divides this complex number by factor.

pub fn simd_floor(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_ceil(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_round(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_trunc(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_fract(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_mul_add(
    self,
    a: Complex<AutoSimd<[f32; 2]>>,
    b: Complex<AutoSimd<[f32; 2]>>
) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_abs(
    self
) -> <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField

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

pub fn simd_exp2(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_exp_m1(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_ln_1p(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_log2(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_log10(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_cbrt(self) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_powi(self, n: i32) -> Complex<AutoSimd<[f32; 2]>>

pub fn simd_exp(self) -> Complex<AutoSimd<[f32; 2]>>

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

pub fn simd_ln(self) -> Complex<AutoSimd<[f32; 2]>>

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.

pub fn simd_sqrt(self) -> Complex<AutoSimd<[f32; 2]>>

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.

pub fn simd_hypot(
    self,
    b: Complex<AutoSimd<[f32; 2]>>
) -> <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField

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

pub fn simd_powf(
    self,
    exp: <Complex<AutoSimd<[f32; 2]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 2]>>

Raises self to a floating point power.

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

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

pub fn simd_powc(
    self,
    exp: Complex<AutoSimd<[f32; 2]>>
) -> Complex<AutoSimd<[f32; 2]>>

Raises self to a complex power.

pub fn simd_sin(self) -> Complex<AutoSimd<[f32; 2]>>

Computes the sine of self.

pub fn simd_cos(self) -> Complex<AutoSimd<[f32; 2]>>

Computes the cosine of self.

pub fn simd_sin_cos(
    self
) -> (Complex<AutoSimd<[f32; 2]>>, Complex<AutoSimd<[f32; 2]>>)

pub fn simd_tan(self) -> Complex<AutoSimd<[f32; 2]>>

Computes the tangent of self.

pub fn simd_asin(self) -> Complex<AutoSimd<[f32; 2]>>

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.

pub fn simd_acos(self) -> Complex<AutoSimd<[f32; 2]>>

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.

pub fn simd_atan(self) -> Complex<AutoSimd<[f32; 2]>>

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.

pub fn simd_sinh(self) -> Complex<AutoSimd<[f32; 2]>>

Computes the hyperbolic sine of self.

pub fn simd_cosh(self) -> Complex<AutoSimd<[f32; 2]>>

Computes the hyperbolic cosine of self.

pub fn simd_sinh_cosh(
    self
) -> (Complex<AutoSimd<[f32; 2]>>, Complex<AutoSimd<[f32; 2]>>)

pub fn simd_tanh(self) -> Complex<AutoSimd<[f32; 2]>>

Computes the hyperbolic tangent of self.

pub fn simd_asinh(self) -> Complex<AutoSimd<[f32; 2]>>

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.

pub fn simd_acosh(self) -> Complex<AutoSimd<[f32; 2]>>

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)) < ∞.

pub fn simd_atanh(self) -> Complex<AutoSimd<[f32; 2]>>

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.

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

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

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

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

pub fn simd_signum(self) -> Self

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

pub fn simd_sinc(self) -> Self

Cardinal sine

pub fn simd_sinhc(self) -> Self

pub fn simd_cosc(self) -> Self

Cardinal cos

pub fn simd_coshc(self) -> Self

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

type SimdRealField = AutoSimd<[f64; 2]>

Type of the coefficients of a complex number.

pub fn from_simd_real(
    re: <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 2]>>

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

pub fn simd_real(
    self
) -> <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField

The real part of this complex number.

pub fn simd_imaginary(
    self
) -> <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField

The imaginary part of this complex number.

pub fn simd_argument(
    self
) -> <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField

The argument of this complex number.

pub fn simd_modulus(
    self
) -> <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField

The modulus of this complex number.

pub fn simd_modulus_squared(
    self
) -> <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField

The squared modulus of this complex number.

pub fn simd_norm1(
    self
) -> <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField

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

pub fn simd_recip(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_conjugate(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_scale(
    self,
    factor: <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 2]>>

Multiplies this complex number by factor.

pub fn simd_unscale(
    self,
    factor: <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 2]>>

Divides this complex number by factor.

pub fn simd_floor(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_ceil(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_round(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_trunc(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_fract(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_mul_add(
    self,
    a: Complex<AutoSimd<[f64; 2]>>,
    b: Complex<AutoSimd<[f64; 2]>>
) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_abs(
    self
) -> <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField

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

pub fn simd_exp2(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_exp_m1(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_ln_1p(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_log2(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_log10(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_cbrt(self) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_powi(self, n: i32) -> Complex<AutoSimd<[f64; 2]>>

pub fn simd_exp(self) -> Complex<AutoSimd<[f64; 2]>>

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

pub fn simd_ln(self) -> Complex<AutoSimd<[f64; 2]>>

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.

pub fn simd_sqrt(self) -> Complex<AutoSimd<[f64; 2]>>

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.

pub fn simd_hypot(
    self,
    b: Complex<AutoSimd<[f64; 2]>>
) -> <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField

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

pub fn simd_powf(
    self,
    exp: <Complex<AutoSimd<[f64; 2]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 2]>>

Raises self to a floating point power.

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

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

pub fn simd_powc(
    self,
    exp: Complex<AutoSimd<[f64; 2]>>
) -> Complex<AutoSimd<[f64; 2]>>

Raises self to a complex power.

pub fn simd_sin(self) -> Complex<AutoSimd<[f64; 2]>>

Computes the sine of self.

pub fn simd_cos(self) -> Complex<AutoSimd<[f64; 2]>>

Computes the cosine of self.

pub fn simd_sin_cos(
    self
) -> (Complex<AutoSimd<[f64; 2]>>, Complex<AutoSimd<[f64; 2]>>)

pub fn simd_tan(self) -> Complex<AutoSimd<[f64; 2]>>

Computes the tangent of self.

pub fn simd_asin(self) -> Complex<AutoSimd<[f64; 2]>>

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.

pub fn simd_acos(self) -> Complex<AutoSimd<[f64; 2]>>

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.

pub fn simd_atan(self) -> Complex<AutoSimd<[f64; 2]>>

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.

pub fn simd_sinh(self) -> Complex<AutoSimd<[f64; 2]>>

Computes the hyperbolic sine of self.

pub fn simd_cosh(self) -> Complex<AutoSimd<[f64; 2]>>

Computes the hyperbolic cosine of self.

pub fn simd_sinh_cosh(
    self
) -> (Complex<AutoSimd<[f64; 2]>>, Complex<AutoSimd<[f64; 2]>>)

pub fn simd_tanh(self) -> Complex<AutoSimd<[f64; 2]>>

Computes the hyperbolic tangent of self.

pub fn simd_asinh(self) -> Complex<AutoSimd<[f64; 2]>>

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.

pub fn simd_acosh(self) -> Complex<AutoSimd<[f64; 2]>>

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)) < ∞.

pub fn simd_atanh(self) -> Complex<AutoSimd<[f64; 2]>>

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.

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

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

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

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

pub fn simd_signum(self) -> Self

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

pub fn simd_sinc(self) -> Self

Cardinal sine

pub fn simd_sinhc(self) -> Self

pub fn simd_cosc(self) -> Self

Cardinal cos

pub fn simd_coshc(self) -> Self

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

type SimdRealField = AutoSimd<[f64; 8]>

Type of the coefficients of a complex number.

pub fn from_simd_real(
    re: <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 8]>>

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

pub fn simd_real(
    self
) -> <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField

The real part of this complex number.

pub fn simd_imaginary(
    self
) -> <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField

The imaginary part of this complex number.

pub fn simd_argument(
    self
) -> <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField

The argument of this complex number.

pub fn simd_modulus(
    self
) -> <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField

The modulus of this complex number.

pub fn simd_modulus_squared(
    self
) -> <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField

The squared modulus of this complex number.

pub fn simd_norm1(
    self
) -> <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField

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

pub fn simd_recip(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_conjugate(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_scale(
    self,
    factor: <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 8]>>

Multiplies this complex number by factor.

pub fn simd_unscale(
    self,
    factor: <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 8]>>

Divides this complex number by factor.

pub fn simd_floor(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_ceil(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_round(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_trunc(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_fract(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_mul_add(
    self,
    a: Complex<AutoSimd<[f64; 8]>>,
    b: Complex<AutoSimd<[f64; 8]>>
) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_abs(
    self
) -> <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField

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

pub fn simd_exp2(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_exp_m1(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_ln_1p(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_log2(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_log10(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_cbrt(self) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_powi(self, n: i32) -> Complex<AutoSimd<[f64; 8]>>

pub fn simd_exp(self) -> Complex<AutoSimd<[f64; 8]>>

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

pub fn simd_ln(self) -> Complex<AutoSimd<[f64; 8]>>

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.

pub fn simd_sqrt(self) -> Complex<AutoSimd<[f64; 8]>>

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.

pub fn simd_hypot(
    self,
    b: Complex<AutoSimd<[f64; 8]>>
) -> <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField

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

pub fn simd_powf(
    self,
    exp: <Complex<AutoSimd<[f64; 8]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 8]>>

Raises self to a floating point power.

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

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

pub fn simd_powc(
    self,
    exp: Complex<AutoSimd<[f64; 8]>>
) -> Complex<AutoSimd<[f64; 8]>>

Raises self to a complex power.

pub fn simd_sin(self) -> Complex<AutoSimd<[f64; 8]>>

Computes the sine of self.

pub fn simd_cos(self) -> Complex<AutoSimd<[f64; 8]>>

Computes the cosine of self.

pub fn simd_sin_cos(
    self
) -> (Complex<AutoSimd<[f64; 8]>>, Complex<AutoSimd<[f64; 8]>>)

pub fn simd_tan(self) -> Complex<AutoSimd<[f64; 8]>>

Computes the tangent of self.

pub fn simd_asin(self) -> Complex<AutoSimd<[f64; 8]>>

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.

pub fn simd_acos(self) -> Complex<AutoSimd<[f64; 8]>>

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.

pub fn simd_atan(self) -> Complex<AutoSimd<[f64; 8]>>

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.

pub fn simd_sinh(self) -> Complex<AutoSimd<[f64; 8]>>

Computes the hyperbolic sine of self.

pub fn simd_cosh(self) -> Complex<AutoSimd<[f64; 8]>>

Computes the hyperbolic cosine of self.

pub fn simd_sinh_cosh(
    self
) -> (Complex<AutoSimd<[f64; 8]>>, Complex<AutoSimd<[f64; 8]>>)

pub fn simd_tanh(self) -> Complex<AutoSimd<[f64; 8]>>

Computes the hyperbolic tangent of self.

pub fn simd_asinh(self) -> Complex<AutoSimd<[f64; 8]>>

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.

pub fn simd_acosh(self) -> Complex<AutoSimd<[f64; 8]>>

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)) < ∞.

pub fn simd_atanh(self) -> Complex<AutoSimd<[f64; 8]>>

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.

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

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

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

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

pub fn simd_signum(self) -> Self

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

pub fn simd_sinc(self) -> Self

Cardinal sine

pub fn simd_sinhc(self) -> Self

pub fn simd_cosc(self) -> Self

Cardinal cos

pub fn simd_coshc(self) -> Self

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

type SimdRealField = AutoSimd<[f32; 8]>

Type of the coefficients of a complex number.

pub fn from_simd_real(
    re: <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 8]>>

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

pub fn simd_real(
    self
) -> <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField

The real part of this complex number.

pub fn simd_imaginary(
    self
) -> <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField

The imaginary part of this complex number.

pub fn simd_argument(
    self
) -> <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField

The argument of this complex number.

pub fn simd_modulus(
    self
) -> <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField

The modulus of this complex number.

pub fn simd_modulus_squared(
    self
) -> <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField

The squared modulus of this complex number.

pub fn simd_norm1(
    self
) -> <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField

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

pub fn simd_recip(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_conjugate(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_scale(
    self,
    factor: <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 8]>>

Multiplies this complex number by factor.

pub fn simd_unscale(
    self,
    factor: <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 8]>>

Divides this complex number by factor.

pub fn simd_floor(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_ceil(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_round(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_trunc(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_fract(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_mul_add(
    self,
    a: Complex<AutoSimd<[f32; 8]>>,
    b: Complex<AutoSimd<[f32; 8]>>
) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_abs(
    self
) -> <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField

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

pub fn simd_exp2(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_exp_m1(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_ln_1p(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_log2(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_log10(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_cbrt(self) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_powi(self, n: i32) -> Complex<AutoSimd<[f32; 8]>>

pub fn simd_exp(self) -> Complex<AutoSimd<[f32; 8]>>

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

pub fn simd_ln(self) -> Complex<AutoSimd<[f32; 8]>>

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.

pub fn simd_sqrt(self) -> Complex<AutoSimd<[f32; 8]>>

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.

pub fn simd_hypot(
    self,
    b: Complex<AutoSimd<[f32; 8]>>
) -> <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField

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

pub fn simd_powf(
    self,
    exp: <Complex<AutoSimd<[f32; 8]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 8]>>

Raises self to a floating point power.

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

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

pub fn simd_powc(
    self,
    exp: Complex<AutoSimd<[f32; 8]>>
) -> Complex<AutoSimd<[f32; 8]>>

Raises self to a complex power.

pub fn simd_sin(self) -> Complex<AutoSimd<[f32; 8]>>

Computes the sine of self.

pub fn simd_cos(self) -> Complex<AutoSimd<[f32; 8]>>

Computes the cosine of self.

pub fn simd_sin_cos(
    self
) -> (Complex<AutoSimd<[f32; 8]>>, Complex<AutoSimd<[f32; 8]>>)

pub fn simd_tan(self) -> Complex<AutoSimd<[f32; 8]>>

Computes the tangent of self.

pub fn simd_asin(self) -> Complex<AutoSimd<[f32; 8]>>

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.

pub fn simd_acos(self) -> Complex<AutoSimd<[f32; 8]>>

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.

pub fn simd_atan(self) -> Complex<AutoSimd<[f32; 8]>>

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.

pub fn simd_sinh(self) -> Complex<AutoSimd<[f32; 8]>>

Computes the hyperbolic sine of self.

pub fn simd_cosh(self) -> Complex<AutoSimd<[f32; 8]>>

Computes the hyperbolic cosine of self.

pub fn simd_sinh_cosh(
    self
) -> (Complex<AutoSimd<[f32; 8]>>, Complex<AutoSimd<[f32; 8]>>)

pub fn simd_tanh(self) -> Complex<AutoSimd<[f32; 8]>>

Computes the hyperbolic tangent of self.

pub fn simd_asinh(self) -> Complex<AutoSimd<[f32; 8]>>

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.

pub fn simd_acosh(self) -> Complex<AutoSimd<[f32; 8]>>

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)) < ∞.

pub fn simd_atanh(self) -> Complex<AutoSimd<[f32; 8]>>

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.

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

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

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

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

pub fn simd_signum(self) -> Self

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

pub fn simd_sinc(self) -> Self

Cardinal sine

pub fn simd_sinhc(self) -> Self

pub fn simd_cosc(self) -> Self

Cardinal cos

pub fn simd_coshc(self) -> Self

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

type SimdRealField = AutoSimd<[f32; 16]>

Type of the coefficients of a complex number.

pub fn from_simd_real(
    re: <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 16]>>

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

pub fn simd_real(
    self
) -> <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField

The real part of this complex number.

pub fn simd_imaginary(
    self
) -> <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField

The imaginary part of this complex number.

pub fn simd_argument(
    self
) -> <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField

The argument of this complex number.

pub fn simd_modulus(
    self
) -> <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField

The modulus of this complex number.

pub fn simd_modulus_squared(
    self
) -> <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField

The squared modulus of this complex number.

pub fn simd_norm1(
    self
) -> <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField

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

pub fn simd_recip(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_conjugate(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_scale(
    self,
    factor: <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 16]>>

Multiplies this complex number by factor.

pub fn simd_unscale(
    self,
    factor: <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 16]>>

Divides this complex number by factor.

pub fn simd_floor(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_ceil(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_round(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_trunc(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_fract(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_mul_add(
    self,
    a: Complex<AutoSimd<[f32; 16]>>,
    b: Complex<AutoSimd<[f32; 16]>>
) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_abs(
    self
) -> <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField

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

pub fn simd_exp2(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_exp_m1(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_ln_1p(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_log2(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_log10(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_cbrt(self) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_powi(self, n: i32) -> Complex<AutoSimd<[f32; 16]>>

pub fn simd_exp(self) -> Complex<AutoSimd<[f32; 16]>>

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

pub fn simd_ln(self) -> Complex<AutoSimd<[f32; 16]>>

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.

pub fn simd_sqrt(self) -> Complex<AutoSimd<[f32; 16]>>

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.

pub fn simd_hypot(
    self,
    b: Complex<AutoSimd<[f32; 16]>>
) -> <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField

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

pub fn simd_powf(
    self,
    exp: <Complex<AutoSimd<[f32; 16]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f32; 16]>>

Raises self to a floating point power.

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

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

pub fn simd_powc(
    self,
    exp: Complex<AutoSimd<[f32; 16]>>
) -> Complex<AutoSimd<[f32; 16]>>

Raises self to a complex power.

pub fn simd_sin(self) -> Complex<AutoSimd<[f32; 16]>>

Computes the sine of self.

pub fn simd_cos(self) -> Complex<AutoSimd<[f32; 16]>>

Computes the cosine of self.

pub fn simd_sin_cos(
    self
) -> (Complex<AutoSimd<[f32; 16]>>, Complex<AutoSimd<[f32; 16]>>)

pub fn simd_tan(self) -> Complex<AutoSimd<[f32; 16]>>

Computes the tangent of self.

pub fn simd_asin(self) -> Complex<AutoSimd<[f32; 16]>>

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.

pub fn simd_acos(self) -> Complex<AutoSimd<[f32; 16]>>

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.

pub fn simd_atan(self) -> Complex<AutoSimd<[f32; 16]>>

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.

pub fn simd_sinh(self) -> Complex<AutoSimd<[f32; 16]>>

Computes the hyperbolic sine of self.

pub fn simd_cosh(self) -> Complex<AutoSimd<[f32; 16]>>

Computes the hyperbolic cosine of self.

pub fn simd_sinh_cosh(
    self
) -> (Complex<AutoSimd<[f32; 16]>>, Complex<AutoSimd<[f32; 16]>>)

pub fn simd_tanh(self) -> Complex<AutoSimd<[f32; 16]>>

Computes the hyperbolic tangent of self.

pub fn simd_asinh(self) -> Complex<AutoSimd<[f32; 16]>>

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.

pub fn simd_acosh(self) -> Complex<AutoSimd<[f32; 16]>>

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)) < ∞.

pub fn simd_atanh(self) -> Complex<AutoSimd<[f32; 16]>>

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.

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

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

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

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

pub fn simd_signum(self) -> Self

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

pub fn simd_sinc(self) -> Self

Cardinal sine

pub fn simd_sinhc(self) -> Self

pub fn simd_cosc(self) -> Self

Cardinal cos

pub fn simd_coshc(self) -> Self

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

type SimdRealField = AutoSimd<[f64; 4]>

Type of the coefficients of a complex number.

pub fn from_simd_real(
    re: <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 4]>>

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

pub fn simd_real(
    self
) -> <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField

The real part of this complex number.

pub fn simd_imaginary(
    self
) -> <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField

The imaginary part of this complex number.

pub fn simd_argument(
    self
) -> <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField

The argument of this complex number.

pub fn simd_modulus(
    self
) -> <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField

The modulus of this complex number.

pub fn simd_modulus_squared(
    self
) -> <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField

The squared modulus of this complex number.

pub fn simd_norm1(
    self
) -> <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField

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

pub fn simd_recip(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_conjugate(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_scale(
    self,
    factor: <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 4]>>

Multiplies this complex number by factor.

pub fn simd_unscale(
    self,
    factor: <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 4]>>

Divides this complex number by factor.

pub fn simd_floor(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_ceil(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_round(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_trunc(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_fract(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_mul_add(
    self,
    a: Complex<AutoSimd<[f64; 4]>>,
    b: Complex<AutoSimd<[f64; 4]>>
) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_abs(
    self
) -> <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField

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

pub fn simd_exp2(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_exp_m1(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_ln_1p(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_log2(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_log10(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_cbrt(self) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_powi(self, n: i32) -> Complex<AutoSimd<[f64; 4]>>

pub fn simd_exp(self) -> Complex<AutoSimd<[f64; 4]>>

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

pub fn simd_ln(self) -> Complex<AutoSimd<[f64; 4]>>

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.

pub fn simd_sqrt(self) -> Complex<AutoSimd<[f64; 4]>>

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.

pub fn simd_hypot(
    self,
    b: Complex<AutoSimd<[f64; 4]>>
) -> <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField

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

pub fn simd_powf(
    self,
    exp: <Complex<AutoSimd<[f64; 4]>> as SimdComplexField>::SimdRealField
) -> Complex<AutoSimd<[f64; 4]>>

Raises self to a floating point power.

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

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

pub fn simd_powc(
    self,
    exp: Complex<AutoSimd<[f64; 4]>>
) -> Complex<AutoSimd<[f64; 4]>>

Raises self to a complex power.

pub fn simd_sin(self) -> Complex<AutoSimd<[f64; 4]>>

Computes the sine of self.

pub fn simd_cos(self) -> Complex<AutoSimd<[f64; 4]>>

Computes the cosine of self.

pub fn simd_sin_cos(
    self
) -> (Complex<AutoSimd<[f64; 4]>>, Complex<AutoSimd<[f64; 4]>>)

pub fn simd_tan(self) -> Complex<AutoSimd<[f64; 4]>>

Computes the tangent of self.

pub fn simd_asin(self) -> Complex<AutoSimd<[f64; 4]>>

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.

pub fn simd_acos(self) -> Complex<AutoSimd<[f64; 4]>>

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.

pub fn simd_atan(self) -> Complex<AutoSimd<[f64; 4]>>

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.

pub fn simd_sinh(self) -> Complex<AutoSimd<[f64; 4]>>

Computes the hyperbolic sine of self.

pub fn simd_cosh(self) -> Complex<AutoSimd<[f64; 4]>>

Computes the hyperbolic cosine of self.

pub fn simd_sinh_cosh(
    self
) -> (Complex<AutoSimd<[f64; 4]>>, Complex<AutoSimd<[f64; 4]>>)

pub fn simd_tanh(self) -> Complex<AutoSimd<[f64; 4]>>

Computes the hyperbolic tangent of self.

pub fn simd_asinh(self) -> Complex<AutoSimd<[f64; 4]>>

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.

pub fn simd_acosh(self) -> Complex<AutoSimd<[f64; 4]>>

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)) < ∞.

pub fn simd_atanh(self) -> Complex<AutoSimd<[f64; 4]>>

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.

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

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

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

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

pub fn simd_signum(self) -> Self

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

pub fn simd_sinc(self) -> Self

Cardinal sine

pub fn simd_sinhc(self) -> Self

pub fn simd_cosc(self) -> Self

Cardinal cos

pub fn simd_coshc(self) -> Self

impl<N> SimdValue for Complex<N> where
    N: SimdValue, 

type Element = Complex<<N as SimdValue>::Element>

The type of the elements of each lane of this SIMD value.

type SimdBool = <N as SimdValue>::SimdBool

Type of the result of comparing two SIMD values like self.

pub fn lanes() -> usize

The number of lanes of this SIMD value.

pub fn splat(val: <Complex<N> as SimdValue>::Element) -> Complex<N>

Initializes an SIMD value with each lanes set to val.

pub fn extract(&self, i: usize) -> <Complex<N> as SimdValue>::Element

Extracts the i-th lane of self.

pub unsafe fn extract_unchecked(
    &self,
    i: usize
) -> <Complex<N> as SimdValue>::Element

Extracts the i-th lane of self without bound-checking.

pub fn replace(&mut self, i: usize, val: <Complex<N> as SimdValue>::Element)

Replaces the i-th lane of self by val.

pub unsafe fn replace_unchecked(
    &mut self,
    i: usize,
    val: <Complex<N> as SimdValue>::Element
)

Replaces the i-th lane of self by val without bound-checking.

pub fn select(
    self,
    cond: <Complex<N> as SimdValue>::SimdBool,
    other: Complex<N>
) -> Complex<N>

Merges self and other depending on the lanes of cond.

pub fn map_lanes(self, f: impl Fn(Self::Element) -> Self::Element) -> Self where
    Self: Clone, 

Applies a function to each lane of self.

pub fn zip_map_lanes(
    self,
    b: Self,
    f: impl Fn(Self::Element, Self::Element) -> Self::Element
) -> Self where
    Self: Clone, 

Applies a function to each lane of self paired with the corresponding lane of b.

impl<T> StructuralEq for Complex<T>

impl<T> StructuralPartialEq for Complex<T>

impl<'a, T> Sub<&'a Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn sub(
    self,
    other: &Complex<T>
) -> <Complex<T> as Sub<&'a Complex<T>>>::Output

Performs the - operation.

impl<'a, 'b, T> Sub<&'a T> for &'b Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn sub(self, other: &T) -> <&'b Complex<T> as Sub<&'a T>>::Output

Performs the - operation.

impl<'a, T> Sub<&'a T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn sub(self, other: &T) -> <Complex<T> as Sub<&'a T>>::Output

Performs the - operation.

impl<'a, 'b, T> Sub<&'b Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn sub(
    self,
    other: &Complex<T>
) -> <&'a Complex<T> as Sub<&'b Complex<T>>>::Output

Performs the - operation.

impl<'a, T> Sub<Complex<T>> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn sub(
    self,
    other: Complex<T>
) -> <&'a Complex<T> as Sub<Complex<T>>>::Output

Performs the - operation.

impl<T> Sub<Complex<T>> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn sub(self, other: Complex<T>) -> <Complex<T> as Sub<Complex<T>>>::Output

Performs the - operation.

impl<'a, T> Sub<T> for &'a Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn sub(self, other: T) -> <&'a Complex<T> as Sub<T>>::Output

Performs the - operation.

impl<T> Sub<T> for Complex<T> where
    T: Clone + Num, 

type Output = Complex<T>

The resulting type after applying the - operator.

pub fn sub(self, other: T) -> <Complex<T> as Sub<T>>::Output

Performs the - operation.

impl<'a, T> SubAssign<&'a Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn sub_assign(&mut self, other: &Complex<T>)

Performs the -= operation.

impl<'a, T> SubAssign<&'a T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn sub_assign(&mut self, other: &T)

Performs the -= operation.

impl<T> SubAssign<Complex<T>> for Complex<T> where
    T: Clone + NumAssign, 

pub fn sub_assign(&mut self, other: Complex<T>)

Performs the -= operation.

impl<T> SubAssign<T> for Complex<T> where
    T: Clone + NumAssign, 

pub fn sub_assign(&mut self, other: T)

Performs the -= operation.

impl<N1, N2> SubsetOf<Complex<N2>> for Complex<N1> where
    N2: SupersetOf<N1>, 

pub fn to_superset(&self) -> Complex<N2>

The inclusion map: converts self to the equivalent element of its superset.

pub fn from_superset_unchecked(element: &Complex<N2>) -> Complex<N1>

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

pub fn is_in_subset(c: &Complex<N2>) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

pub fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl<'a, T> Sum<&'a Complex<T>> for Complex<T> where
    T: 'a + Clone + Num, 

pub fn sum<I>(iter: I) -> Complex<T> where
    I: Iterator<Item = &'a Complex<T>>, 

Method which takes an iterator and generates Self from the elements by "summing up" the items.

impl<T> Sum<Complex<T>> for Complex<T> where
    T: Clone + Num, 

pub fn sum<I>(iter: I) -> Complex<T> where
    I: Iterator<Item = Complex<T>>, 

Method which takes an iterator and generates Self from the elements by "summing up" the items.

impl<T> ToPrimitive for Complex<T> where
    T: ToPrimitive + Num, 

pub fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.

pub fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.

pub fn to_u8(&self) -> Option<u8>

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.

pub fn to_u16(&self) -> Option<u16>

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.

pub fn to_u32(&self) -> Option<u32>

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.

pub fn to_u64(&self) -> Option<u64>

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.

pub fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.

pub fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.

pub fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.

pub fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.

pub fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned.

pub fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned.

pub fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. If the value cannot be represented by an f32, then None is returned.

pub fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. If the value cannot be represented by an f64, then None is returned.

impl<T> UpperExp for Complex<T> where
    T: UpperExp + Num + PartialOrd<T> + Clone, 

pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<T> UpperHex for Complex<T> where
    T: UpperHex + Num + PartialOrd<T> + Clone, 

pub fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<T> Zero for Complex<T> where
    T: Clone + Num, 

pub fn zero() -> Complex<T>

Returns the additive identity element of Self, 0.

pub fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

pub fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.