Class Complex

This class allows the manipulation of complex numbers. You can pass a complex number in different formats. Either as object, double, string or two integer parameters.

Object form { re: , im: } { arg: , abs: } { phi: , r: }

Array / Vector form [ real, imaginary ]

Double form 99.3 - Single double value

String form '23.1337' - Simple real number '15+3i' - a simple complex number '3-i' - a simple complex number

Example:

var c = new Complex('99.3+8i'); c.mul({r: 3, i: 9}).div(4.9).sub(3, 2);

Constructors

constructor

Properties

im re E EPSILON I INFINITY NAN ONE PI ZERO

Methods

abs acos acosh acot acoth acsc acsch add arg asec asech asin asinh atan atanh ceil clone conjugate cos cosh cot coth csc csch div equals exp expm1 floor inverse isFinite isInfinite isNaN isZero log mul neg pow round sec sech sign sin sinh sqrt sub tan tanh toString toVector valueOf

Constructors

constructor

  • new Complex(a, b?): Complex

  • Parameters

    Returns Complex

Properties

im

im: number

re

re: number

StaticE

E: Complex

StaticEPSILON

EPSILON: number

StaticI

I: Complex

StaticINFINITY

INFINITY: Complex

StaticNAN

NAN: Complex

StaticONE

ONE: Complex

StaticPI

PI: Complex

StaticZERO

ZERO: Complex

Methods

abs

  • abs(): number

  • Calculate the magnitude of the complex number

    Returns number

acos

  • acos(): Complex

  • Calculate the complex arcus cosinus

    Returns Complex

acosh

  • acosh(): Complex

  • Calculate the complex acosh

    Returns Complex

acot

  • acot(): Complex

  • Calculate the complex arcus cotangent

    Returns Complex

acoth

  • acoth(): Complex

  • Calculate the complex acoth

    Returns Complex

acsc

  • acsc(): Complex

  • Calculate the complex arcus cosecans

    Returns Complex

acsch

  • acsch(): Complex

  • Calculate the complex acsch

    Returns Complex

add

  • add(a, b?): Complex

  • Adds two complex numbers

    Parameters

    Returns Complex

arg

  • arg(): number

  • Calculate the angle of the complex number

    Returns number

asec

  • asec(): Complex

  • Calculate the complex arcus secant

    Returns Complex

asech

  • asech(): Complex

  • Calculate the complex asech

    Returns Complex

asin

  • asin(): Complex

  • Calculate the complex arcus sinus

    Returns Complex

asinh

  • asinh(): Complex

  • Calculate the complex asinh

    Returns Complex

atan

  • atan(): Complex

  • Calculate the complex arcus tangent

    Returns Complex

atanh

  • atanh(): Complex

  • Calculate the complex atanh

    Returns Complex

ceil

  • ceil(places): Complex

  • Ceils the actual complex number

    Parameters

    • places: number

    Returns Complex

clone

  • clone(): Complex

  • Clones the actual object

    Returns Complex

conjugate

  • conjugate(): Complex

  • Returns the complex conjugate

    Returns Complex

cos

  • cos(): Complex

  • Calculate the cosine

    Returns Complex

cosh

  • cosh(): Complex

  • Calculate the complex cosh

    Returns Complex

cot

  • cot(): Complex

  • Calculate the cotangent

    Returns Complex

coth

  • coth(): Complex

  • Calculate the complex coth

    Returns Complex

csc

  • csc(): Complex

  • Calculate the cosecans

    Returns Complex

csch

  • csch(): Complex

  • Calculate the complex coth

    Returns Complex

div

  • div(a, b?): Complex

  • Divides two complex numbers

    Parameters

    Returns Complex

equals

  • equals(a, b?): boolean

  • Compares two complex numbers

    Note: new Complex(Infinity).equals(Infinity) === false

    Parameters

    Returns boolean

exp

  • exp(): Complex

  • Calculate the complex exponent

    Returns Complex

expm1

  • expm1(): Complex

  • Calculate the complex exponent and subtracts one.

    This may be more accurate than Complex(x).exp().sub(1) if x is small.

    Returns Complex

floor

  • floor(places): Complex

  • Floors the actual complex number

    Parameters

    • places: number

    Returns Complex

inverse

  • inverse(): Complex

  • Calculate the complex inverse 1/z

    Returns Complex

isFinite

  • isFinite(): boolean

  • Determines whether a complex number is not at the infinity pole of the Riemann sphere.

    Returns boolean

isInfinite

  • isInfinite(): boolean

  • Determines whether or not a complex number is at the infinity pole of the Riemann sphere.

    Returns boolean

isNaN

  • isNaN(): boolean

  • Determines whether a complex number is not on the Riemann sphere.

    Returns boolean

isZero

  • isZero(): boolean

  • Determines whether or not a complex number is at the zero pole of the Riemann sphere.

    Returns boolean

log

  • log(): Complex

  • Calculate the natural log

    Returns Complex

mul

  • mul(a, b?): Complex

  • Multiplies two complex numbers

    Parameters

    Returns Complex

neg

  • neg(): Complex

  • Gets the negated complex number

    Returns Complex

pow

  • pow(a, b?): Complex

  • Calculate the power of two complex numbers

    Parameters

    Returns Complex

round

  • round(places): Complex

  • Ceils the actual complex number

    Parameters

    • places: number

    Returns Complex

sec

  • sec(): Complex

  • Calculate the secant

    Returns Complex

sech

  • sech(): Complex

  • Calculate the complex sech

    Returns Complex

sign

  • sign(): Complex

  • Calculates the sign of a complex number, which is a normalized complex

    Returns Complex

sin

  • sin(): Complex

  • Calculate the sine of the complex number

    Returns Complex

sinh

  • sinh(): Complex

  • Calculate the complex sinh

    Returns Complex

sqrt

  • sqrt(): Complex

  • Calculate the complex square root

    Returns Complex

sub

  • sub(a, b?): Complex

  • Subtracts two complex numbers

    Parameters

    Returns Complex

tan

  • tan(): Complex

  • Calculate the tangent

    Returns Complex

tanh

  • tanh(): Complex

  • Calculate the complex tanh

    Returns Complex

toString

  • toString(): string

  • Gets a string of the actual complex number

    Returns string

toVector

  • toVector(): number[]

  • Returns the actual number as a vector

    Returns number[]

valueOf

  • valueOf(): null | number

  • Returns the actual real value of the current object

    Returns null | number

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