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complex

A complex number that takes the form of an array of two floats. The first element is the real number and the second represents the imaginary.

re​

re(
V: complex,
) -> float

Returns the real part of a complex number.

V:

complex
​

A complex number.

im​

im(
V: complex,
) -> float

Returns the imaginary part of a complex number.

V:

complex
​

A complex number.

mul​

mul(
V: complex,W: complex,
)

Multiplies two complex numbers together and returns the result VWV W.

V:

complex
​

The complex number on the left hand side.

W:

complex
​

The complex number on the right hand side.

conj​

conj(
V: complex,
) -> complex

Calculates the conjugate of a complex number.

V:

complex
​

A complex number.

dot​

dot(
V: complex,W: complex,
) -> float

Calculates the dot product of two complex numbers in R^2 V⋅WV \cdot W.

V:

complex
​

The complex number on the left hand side.

W:

complex
​

The complex number on the right hand side.

normsq​

normsq(
V: complex,
) -> float

Calculates the squared normal of a complex number.

V:

complex
​

The complex number.

norm​

norm(
V: complex,
) -> float

Calculates the normal of a complex number

V:

complex
​

The complex number.

scale​

scale(
V: complex,t: float,
) -> complex

Multiplies a complex number by a scale factor.

V:

complex
​

The complex number to scale.

t:

float
​

The scale factor.

unit​

unit(
V: complex,
) -> vector

Returns a unit vector in the direction of a complex number.

V:

complex
​

The complex number.

inv​

inv(
V: complex,
) -> complex

Inverts a complex number.

V:

complex
​

The complex number

div​

div(
V: complex,W: complex,
) -> complex

Divides two complex numbers.

V:

complex
​

The complex number of the numerator.

W:

complex
​

The complex number of the denominator.

add​

add(
V: complex,W: complex,
) -> complex

Adds two complex numbers together.

V:

complex
​

The complex number on the left hand side.

W:

complex
​

The complex number on the right hand side.

sub​

sub(
V: complex,W: complex,
) -> complex

Subtracts two complex numbers together.

V:

complex
​

The complex number on the left hand side.

W:

complex
​

The complex number on the right hand side.

arg​

arg(
V: complex,
)

Calculates the argument of a complex number.

V:

complex
​

The complex number.

ang​

ang(
V: complex,W: complex,
)

Get the signed angle of two complex numbers from V to W.

V:

complex
​

A complex number.

W:

complex
​

A complex number.