Trait nalgebra::ComplexField

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pub trait ComplexField: SubsetOf<Self> + SupersetOf<f64> + FromPrimitive + Field<Element = Self, SimdBool = bool, Output = Self> + Neg + Clone + Send + Sync + Any + 'static + Debug + Display {
    type RealField: RealField;

Show 55 methods // Required methods fn from_real(re: Self::RealField) -> Self; fn real(self) -> Self::RealField; fn imaginary(self) -> Self::RealField; fn modulus(self) -> Self::RealField; fn modulus_squared(self) -> Self::RealField; fn argument(self) -> Self::RealField; fn norm1(self) -> Self::RealField; fn scale(self, factor: Self::RealField) -> Self; fn unscale(self, factor: Self::RealField) -> Self; fn floor(self) -> Self; fn ceil(self) -> Self; fn round(self) -> Self; fn trunc(self) -> Self; fn fract(self) -> Self; fn mul_add(self, a: Self, b: Self) -> Self; fn abs(self) -> Self::RealField; fn hypot(self, other: Self) -> Self::RealField; fn recip(self) -> Self; fn conjugate(self) -> Self; fn sin(self) -> Self; fn cos(self) -> Self; fn sin_cos(self) -> (Self, Self); fn tan(self) -> Self; fn asin(self) -> Self; fn acos(self) -> Self; fn atan(self) -> Self; fn sinh(self) -> Self; fn cosh(self) -> Self; fn tanh(self) -> Self; fn asinh(self) -> Self; fn acosh(self) -> Self; fn atanh(self) -> Self; fn log(self, base: Self::RealField) -> Self; fn log2(self) -> Self; fn log10(self) -> Self; fn ln(self) -> Self; fn ln_1p(self) -> Self; fn sqrt(self) -> Self; fn exp(self) -> Self; fn exp2(self) -> Self; fn exp_m1(self) -> Self; fn powi(self, n: i32) -> Self; fn powf(self, n: Self::RealField) -> Self; fn powc(self, n: Self) -> Self; fn cbrt(self) -> Self; fn is_finite(&self) -> bool; fn try_sqrt(self) -> Option<Self>; // Provided methods fn to_polar(self) -> (Self::RealField, Self::RealField) { ... } fn to_exp(self) -> (Self::RealField, Self) { ... } fn signum(self) -> Self { ... } fn sinh_cosh(self) -> (Self, Self) { ... } fn sinc(self) -> Self { ... } fn sinhc(self) -> Self { ... } fn cosc(self) -> Self { ... } fn coshc(self) -> Self { ... }
}
Expand description

Trait shared by all complex fields and its subfields (like real numbers).

Complex numbers are equipped with functions that are commonly used on complex numbers and reals. The results of those functions only have to be approximately equal to the actual theoretical values.

Required Associated Types§

Required Methods§

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fn from_real(re: Self::RealField) -> Self

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

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fn real(self) -> Self::RealField

The real part of this complex number.

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fn imaginary(self) -> Self::RealField

The imaginary part of this complex number.

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fn modulus(self) -> Self::RealField

The modulus of this complex number.

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fn modulus_squared(self) -> Self::RealField

The squared modulus of this complex number.

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fn argument(self) -> Self::RealField

The argument of this complex number.

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fn norm1(self) -> Self::RealField

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

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fn scale(self, factor: Self::RealField) -> Self

Multiplies this complex number by factor.

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fn unscale(self, factor: Self::RealField) -> Self

Divides this complex number by factor.

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fn floor(self) -> Self

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fn ceil(self) -> Self

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fn round(self) -> Self

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fn trunc(self) -> Self

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fn fract(self) -> Self

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

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fn abs(self) -> Self::RealField

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

This is equivalent to self.modulus().

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fn hypot(self, other: Self) -> Self::RealField

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

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fn recip(self) -> Self

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fn conjugate(self) -> Self

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fn sin(self) -> Self

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fn cos(self) -> Self

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

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fn tan(self) -> Self

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fn asin(self) -> Self

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fn acos(self) -> Self

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fn atan(self) -> Self

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fn sinh(self) -> Self

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fn cosh(self) -> Self

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fn tanh(self) -> Self

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fn asinh(self) -> Self

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fn acosh(self) -> Self

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fn atanh(self) -> Self

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fn log(self, base: Self::RealField) -> Self

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fn log2(self) -> Self

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fn log10(self) -> Self

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fn ln(self) -> Self

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fn ln_1p(self) -> Self

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fn sqrt(self) -> Self

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fn exp(self) -> Self

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fn exp2(self) -> Self

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fn exp_m1(self) -> Self

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

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fn powf(self, n: Self::RealField) -> Self

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

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fn cbrt(self) -> Self

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fn is_finite(&self) -> bool

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fn try_sqrt(self) -> Option<Self>

Provided Methods§

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

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

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

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

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fn signum(self) -> Self

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

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

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fn sinc(self) -> Self

Cardinal sine

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fn sinhc(self) -> Self

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fn cosc(self) -> Self

Cardinal cos

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fn coshc(self) -> Self

Object Safety§

This trait is not object safe.

Implementations on Foreign Types§

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impl ComplexField for f32

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type RealField = f32

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fn from_real(re: <f32 as ComplexField>::RealField) -> f32

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fn real(self) -> <f32 as ComplexField>::RealField

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fn imaginary(self) -> <f32 as ComplexField>::RealField

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fn norm1(self) -> <f32 as ComplexField>::RealField

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fn modulus(self) -> <f32 as ComplexField>::RealField

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fn modulus_squared(self) -> <f32 as ComplexField>::RealField

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fn argument(self) -> <f32 as ComplexField>::RealField

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fn to_exp(self) -> (f32, f32)

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fn recip(self) -> f32

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fn conjugate(self) -> f32

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fn scale(self, factor: <f32 as ComplexField>::RealField) -> f32

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fn unscale(self, factor: <f32 as ComplexField>::RealField) -> f32

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fn floor(self) -> f32

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fn ceil(self) -> f32

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fn round(self) -> f32

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fn trunc(self) -> f32

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fn fract(self) -> f32

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fn abs(self) -> f32

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fn signum(self) -> f32

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fn mul_add(self, a: f32, b: f32) -> f32

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fn powi(self, n: i32) -> f32

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fn powf(self, n: f32) -> f32

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fn powc(self, n: f32) -> f32

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fn sqrt(self) -> f32

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fn try_sqrt(self) -> Option<f32>

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fn exp(self) -> f32

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fn exp2(self) -> f32

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fn exp_m1(self) -> f32

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fn ln_1p(self) -> f32

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fn ln(self) -> f32

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fn log(self, base: f32) -> f32

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fn log2(self) -> f32

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fn log10(self) -> f32

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fn cbrt(self) -> f32

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fn hypot(self, other: f32) -> <f32 as ComplexField>::RealField

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fn sin(self) -> f32

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fn cos(self) -> f32

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fn tan(self) -> f32

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fn asin(self) -> f32

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fn acos(self) -> f32

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fn atan(self) -> f32

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fn sin_cos(self) -> (f32, f32)

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fn sinh(self) -> f32

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fn cosh(self) -> f32

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fn tanh(self) -> f32

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fn asinh(self) -> f32

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fn acosh(self) -> f32

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fn atanh(self) -> f32

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fn is_finite(&self) -> bool

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impl ComplexField for f64

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type RealField = f64

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fn from_real(re: <f64 as ComplexField>::RealField) -> f64

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fn real(self) -> <f64 as ComplexField>::RealField

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fn imaginary(self) -> <f64 as ComplexField>::RealField

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fn norm1(self) -> <f64 as ComplexField>::RealField

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fn modulus(self) -> <f64 as ComplexField>::RealField

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fn modulus_squared(self) -> <f64 as ComplexField>::RealField

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fn argument(self) -> <f64 as ComplexField>::RealField

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fn to_exp(self) -> (f64, f64)

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fn recip(self) -> f64

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fn conjugate(self) -> f64

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fn scale(self, factor: <f64 as ComplexField>::RealField) -> f64

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fn unscale(self, factor: <f64 as ComplexField>::RealField) -> f64

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fn floor(self) -> f64

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fn ceil(self) -> f64

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fn round(self) -> f64

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fn trunc(self) -> f64

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fn fract(self) -> f64

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fn abs(self) -> f64

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fn signum(self) -> f64

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fn mul_add(self, a: f64, b: f64) -> f64

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fn powi(self, n: i32) -> f64

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fn powf(self, n: f64) -> f64

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fn powc(self, n: f64) -> f64

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fn sqrt(self) -> f64

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fn try_sqrt(self) -> Option<f64>

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fn exp(self) -> f64

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fn exp2(self) -> f64

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fn exp_m1(self) -> f64

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fn ln_1p(self) -> f64

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fn ln(self) -> f64

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fn log(self, base: f64) -> f64

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fn log2(self) -> f64

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fn log10(self) -> f64

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fn cbrt(self) -> f64

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fn hypot(self, other: f64) -> <f64 as ComplexField>::RealField

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fn sin(self) -> f64

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fn cos(self) -> f64

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fn tan(self) -> f64

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fn asin(self) -> f64

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fn acos(self) -> f64

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fn atan(self) -> f64

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fn sin_cos(self) -> (f64, f64)

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fn sinh(self) -> f64

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fn cosh(self) -> f64

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fn tanh(self) -> f64

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fn asinh(self) -> f64

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fn acosh(self) -> f64

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fn atanh(self) -> f64

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fn is_finite(&self) -> bool

Implementors§

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

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type RealField = N