Struct num::complex::Complex [−] [src]

pub struct Complex<T> {
    pub re: T,
    pub im: T,
}

A complex number in Cartesian form.

Fields

`re`	Real portion of the complex number
`im`	Imaginary portion of the complex number

Methods

`impl<T: Clone + Num> Complex<T>`

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

Create a new Complex

`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.

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

Multiplies self by the scalar t.

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

Divides self by the scalar t.

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

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

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

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

Returns 1/self

`impl<T: Clone + Float> Complex<T>`

`fn norm(&self) -> T`

Calculate |self|

`impl<T: Clone + Float + Num> Complex<T>`

`fn arg(&self) -> T`

Calculate the principal Arg of self.

`fn to_polar(&self) -> (T, T)`

Convert to polar form (r, theta), such that self = r * exp(i * theta)

`fn from_polar(r: &T, theta: &T) -> Complex<T>`

Convert a polar representation into a complex number.

Trait Implementations

`impl<T: Clone + Num> Add<Complex<T>> for Complex<T>`

`type Output = Complex<T>`

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

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

`type Output = Complex<T>`

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

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

`type Output = Complex<T>`

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

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

`type Output = Complex<T>`

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

`impl<T: Clone + Num> Sub<Complex<T>> for Complex<T>`

`type Output = Complex<T>`

`fn sub(self, other: Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn sub(self, other: Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn sub(self, other: &Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn sub(self, other: &Complex<T>) -> Complex<T>`

`impl<T: Clone + Num> Mul<Complex<T>> for Complex<T>`

`type Output = Complex<T>`

`fn mul(self, other: Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn mul(self, other: Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn mul(self, other: &Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn mul(self, other: &Complex<T>) -> Complex<T>`

`impl<T: Clone + Num> Div<Complex<T>> for Complex<T>`

`type Output = Complex<T>`

`fn div(self, other: Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn div(self, other: Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn div(self, other: &Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn div(self, other: &Complex<T>) -> Complex<T>`

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

`type Output = Complex<T>`

`fn neg(self) -> Complex<T>`

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

`type Output = Complex<T>`

`fn neg(self) -> Complex<T>`

`impl<T: Clone + Num> Zero for Complex<T>`

`fn zero() -> Complex<T>`

`fn is_zero(&self) -> bool`

`impl<T: Clone + Num> One for Complex<T>`

`fn one() -> Complex<T>`

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

`fn fmt(&self, f: &mut Formatter) -> Result`

Derived Implementations

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

`fn fmt(&self, __arg_0: &mut Formatter) -> Result`

`impl<T: Decodable> Decodable for Complex<T> where T: Decodable, T: Decodable`

`fn decode<D: Decoder>(arg_0: &mut D) -> Result<Complex<T>, D>`

`impl<T: Encodable> Encodable for Complex<T> where T: Encodable, T: Encodable`

`fn encode<S: Encoder>(&self, arg_0: &mut S) -> Result<(), S>`

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

`fn hash<H: Hasher>(&self, arg_0: &mut __H)`

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

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

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

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

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

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

`fn eq(&self, __arg_0: &Complex<T>) -> bool`

`fn ne(&self, __arg_0: &Complex<T>) -> bool`