MathComplexOperator

Library "MathComplexOperator"
A set of utility functions to handle complex numbers.

conjugate(complex_number) Computes the conjugate of complex_number by reversing the sign of the imaginary part.
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

add(complex_number_a, complex_number_b) Adds complex number complex_number_b to complex_number_a, in the form:
.
Parameters:

• complex_number_a: pseudo complex number in the form of a array .
  
• complex_number_b: pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

subtract(complex_number_a, complex_number_b) Subtract complex_number_b from complex_number_a, in the form:
.
Parameters:

• complex_number_a: float array, pseudo complex number in the form of a array .
  
• complex_number_b: float array, pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

multiply(complex_number_a, complex_number_b) Multiply complex_number_a with complex_number_b, in the form:

Parameters:

• complex_number_a: float array, pseudo complex number in the form of a array .
  
• complex_number_b: float array, pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

divide(complex_number_a, complex_number_b) Divide complex_number _a with _b, in the form:

Parameters:

• complex_number_a: float array, pseudo complex number in the form of a array .
  
• complex_number_b: float array, pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

reciprocal(complex_number) Computes the reciprocal or inverse of complex_number.
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

negative(complex_number) Negative of complex_number, in the form:
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

inverse(complex_number) Inverse of complex_number, in the form:
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

exponential(complex_number) Exponential of complex_number.
Parameters:

• complex_number: pseudo complex number in the form of a array .

Returns: float array, pseudo complex number in the form of a array

ceil(complex_number, digits) Ceils complex_number.
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .
  
• digits: int, digits to use as ceiling.

Returns: _complex: pseudo complex number in the form of a array

radius(complex_number) Radius(magnitude) of complex_number, in the form:
This is defined as its distance from the origin (0,0) of the complex plane.
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .

Returns: float value with radius.

magnitude(complex_number) magnitude(absolute value) of complex_number, should be the same as the radius.
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .

Returns: float.

magnitude_squared(complex_number) magnitude(absolute value) of complex_number, should be the same as the radius.
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .

Returns: float.

sign(complex_number) Unity of complex numbers.
Parameters:

• complex_number: float array, pseudo complex number in the form of a array .

Returns: float array, complex number.

Release Notes:

v2 update to type and method.

Updated:
conjugate(this)
  Computes the conjugate of complex number by reversing the sign of the imaginary part.
  Parameters:
    this: complex.
  Returns: Complex.

add(this, other)
  Adds complex number other to this, in the form:
.
  Parameters:
    this: pseudo complex number in the form of a array .
    other: pseudo complex number in the form of a array .
  Returns: complex

subtract(this, other)
  Subtract other from this, in the form:
.
  Parameters:
    this: complex.
    other: complex.
  Returns: complex

multiply(this, other)
  Multiply this with other, in the form:

  Parameters:
    this: complex.
    other: complex.
  Returns: complex

divide(this, other)
  Divide complex_number _a with _b, in the form:

  Parameters:
    this: complex.
    other: complex.
  Returns: complex

reciprocal(this)
  Computes the reciprocal or inverse of complex_number.
  Parameters:
    this
  Returns: complex

negative(this)
  Negative of complex_number, in the form:
  Parameters:
    this
  Returns: complex

inverse(this)
  Inverse of complex_number, in the form:
  Parameters:
    this
  Returns: complex

exponential(this)
  Exponential of complex_number.
  Parameters:
    this
  Returns: complex

ceil(this, digits)
  Ceils complex_number.
  Parameters:
    this
    digits: int, digits to use as ceiling.
  Returns: _complex: pseudo complex number in the form of a array

radius(this)
  Radius(magnitude) of complex_number, in the form:
This is defined as its distance from the origin (0,0) of the complex plane.
  Parameters:
    this
  Returns: float value with radius.

magnitude(this)
  magnitude(absolute value) of complex_number, should be the same as the radius.
  Parameters:
    this
  Returns: float.

magnitude_squared(this)
  magnitude(absolute value) of complex_number, should be the same as the radius.
  Parameters:
    this
  Returns: float.

sign(this)
  Unity of complex numbers.
  Parameters:
    this
  Returns: float array, complex number.

Release Notes:

v3 minor update.