Class Complex

constructor

• new Complex(re: number, im?: number): Complex

  Parameters

  • re: number
  • im: number = 0

  Returns Complex

add

• add(other: number | Complex): Complex

  Adds another complex number to this one.

  Parameters

  • other: number | Complex

    The complex number to add

  Returns Complex

  A new complex number representing the sum

sub

• sub(other: number | Complex): Complex

  Subtracts another complex number from this one.

  Parameters

  • other: number | Complex

    The complex number to subtract

  Returns Complex

  A new complex number representing the difference

mul

• mul(other: number | Complex): Complex

  Multiplies this complex number by another.

  Parameters

  • other: number | Complex

    The complex number to multiply by

  Returns Complex

  A new complex number representing the product

div

• div(other: number | Complex): Complex

  Divides this complex number by another.

  Parameters

  • other: number | Complex

    The complex number to divide by

  Returns Complex

  A new complex number representing the quotient

  Throws

  If dividing by zero

conjugate

• conjugate(): Complex

  Returns the complex conjugate of this number.

  Returns Complex

  A new complex number representing the conjugate

abs

• abs(): number

  Returns the magnitude (absolute value) of this complex number.

  Returns number

  The magnitude as a real number

arg

• arg(): number

  Returns the argument (phase angle) of this complex number in radians.

  Returns number

  The argument as a real number

exp

• exp(): Complex

  Returns the exponential of this complex number.

  Returns Complex

  A new complex number representing e^(this)

sqrt

• sqrt(): Complex

  Returns the square root of this complex number.

  Returns Complex

  A new complex number representing the square root

pow

• pow(exponent: number): Complex

  Raises this complex number to the given power.

  Parameters

  • exponent: number

    The exponent (real number)

  Returns Complex

  A new complex number representing this^exponent

neg

• neg(): Complex

  Negates this complex number.

  Returns Complex

  A new complex number representing -this

equals

• equals(other: Complex, tolerance?: number): boolean

  Checks if this complex number equals another.

  Parameters

  • other: Complex

    The complex number to compare to

  • tolerance: number = 1e-10

    Optional tolerance for floating point comparison

  Returns boolean

  True if the numbers are equal within tolerance

toString

• toString(): string

  Returns a string representation of this complex number.

  Returns string

  String representation in the form "a + bi"

Readonlyre

Readonlyim