Complex

Struct Complex 

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pub struct Complex<F: Float> {
    pub real: F,
    pub imag: F,
}
Expand description

Complex number

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§real: F§imag: F

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impl<F: Float> Complex<F>

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pub const fn to_vector2(self) -> Vector2<F>

Converts complex number to a vector where x = real, y = imag.

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pub const fn from_vector2(vec: Vector2<F>) -> Self

Converts vector to a complex number where real = x, imag = y.

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pub fn to_matrix2(self) -> Matrix2<F>

Converts complex number to a real matrix.

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pub fn from_angle(angle: F) -> Self

Converts angle in radians to a complex number.

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pub fn angle(self) -> F

Extracts angle from complex number.

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pub fn sqr_magnitude(&self) -> F

Computes squared magnitude.

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pub fn magnitude(&self) -> F

Computes magnitude.

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pub fn to_magnitude_angle(self) -> (F, F)

Returns complex number’s magnitude and angle in radians.

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pub fn conjugate(self) -> Self

Returns conjugate of the complex number. Conjugate is defined as a - bi.

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pub fn reciprocal(self) -> Self

Returns 1 / (a + bi).

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pub fn sqrt(self) -> (Self, Self)

Computes square root of complex number.

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pub fn exp(&self) -> Self

Computes e raised to the complex power.

Trait Implementations§

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impl<F: Clone + Float> Clone for Complex<F>

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fn clone(&self) -> Complex<F>

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<F: Debug + Float> Debug for Complex<F>

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

Formats the value using the given formatter. Read more
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impl<F: Float> Div for Complex<F>

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type Output = Complex<F>

The resulting type after applying the / operator.
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fn div(self, rhs: Self) -> Self::Output

Performs the / operation. Read more
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impl<F: Float> DivAssign for Complex<F>

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fn div_assign(&mut self, rhs: Self)

Performs the /= operation. Read more
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impl<F: Float> From<Complex<F>> for Vector2<F>

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fn from(val: Complex<F>) -> Self

Converts to this type from the input type.
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impl<F: Float> From<Vector2<F>> for Complex<F>

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fn from(val: Vector2<F>) -> Self

Converts to this type from the input type.
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impl<F: Float> Mul<Complex<F>> for Vector2<F>

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type Output = Vector2<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: Complex<F>) -> Self::Output

Performs the * operation. Read more
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impl<F: Float> Mul for Complex<F>

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type Output = Complex<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: Self) -> Self::Output

Performs the * operation. Read more
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impl<F: Float> MulAssign for Complex<F>

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more
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impl<F: PartialEq + Float> PartialEq for Complex<F>

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

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<F: Copy + Float> Copy for Complex<F>

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impl<F: Float> StructuralPartialEq for Complex<F>

Auto Trait Implementations§

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impl<F> Freeze for Complex<F>
where F: Freeze,

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impl<F> RefUnwindSafe for Complex<F>
where F: RefUnwindSafe,

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impl<F> Send for Complex<F>
where F: Send,

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impl<F> Sync for Complex<F>
where F: Sync,

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impl<F> Unpin for Complex<F>
where F: Unpin,

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impl<F> UnwindSafe for Complex<F>
where F: UnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.