PINE LIBRARY

MathComplexOperator

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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 [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

add(complex_number_a, complex_number_b) Adds complex number complex_number_b to complex_number_a, in the form:
[_a.real + _b.real, _a.imaginary + _b.imaginary].
Parameters:

complex_number_a: pseudo complex number in the form of a array [real, imaginary].
complex_number_b: pseudo complex number in the form of a array [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

subtract(complex_number_a, complex_number_b) Subtract complex_number_b from complex_number_a, in the form:
[_a.real - _b.real, _a.imaginary - _b.imaginary].
Parameters:

complex_number_a: float array, pseudo complex number in the form of a array [real, imaginary].
complex_number_b: float array, pseudo complex number in the form of a array [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

multiply(complex_number_a, complex_number_b) Multiply complex_number_a with complex_number_b, in the form:
[(_a.real * _b.real) - (_a.imaginary * _b.imaginary), (_a.real * _b.imaginary) + (_a.imaginary * _b.real)]
Parameters:

complex_number_a: float array, pseudo complex number in the form of a array [real, imaginary].
complex_number_b: float array, pseudo complex number in the form of a array [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

divide(complex_number_a, complex_number_b) Divide complex_number _a with _b, in the form:
[(_a.real * _b.real) - (_a.imaginary * _b.imaginary), (_a.real * _b.imaginary) + (_a.imaginary * _b.real)]
Parameters:

complex_number_a: float array, pseudo complex number in the form of a array [real, imaginary].
complex_number_b: float array, pseudo complex number in the form of a array [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

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 [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

negative(complex_number) Negative of complex_number, in the form: [-_a.real, -_a.imaginary]
Parameters:

complex_number: float array, pseudo complex number in the form of a array [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

inverse(complex_number) Inverse of complex_number, in the form: [1/_a.real, 1/_a.imaginary]
Parameters:

complex_number: float array, pseudo complex number in the form of a array [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

exponential(complex_number) Exponential of complex_number.
Parameters:

complex_number: pseudo complex number in the form of a array [real, imaginary].

Returns: float array, pseudo complex number in the form of a array [real, imaginary]

ceil(complex_number, digits) Ceils complex_number.
Parameters:

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

Returns: _complex: pseudo complex number in the form of a array [real, imaginary]

radius(complex_number) Radius(magnitude) of complex_number, in the form: [sqrt(pow(complex_number))]
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 [real, imaginary].

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 [real, imaginary].

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 [real, imaginary].

Returns: float.

sign(complex_number) Unity of complex numbers.
Parameters:

complex_number: float array, pseudo complex number in the form of a array [real, imaginary].

Returns: float array, complex number.

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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:
[_a.real + _b.real, _a.imaginary + _b.imaginary].
Parameters:
this: pseudo complex number in the form of a array [real, imaginary].
other: pseudo complex number in the form of a array [real, imaginary].
Returns: complex

subtract(this, other)
Subtract other from this, in the form:
[_a.real - _b.real, _a.imaginary - _b.imaginary].
Parameters:
this: complex.
other: complex.
Returns: complex

multiply(this, other)
Multiply this with other, in the form:
[(_a.real * _b.real) - (_a.imaginary * _b.imaginary), (_a.real * _b.imaginary) + (_a.imaginary * _b.real)]
Parameters:
this: complex.
other: complex.
Returns: complex

divide(this, other)
Divide complex_number _a with _b, in the form:
[(_a.real * _b.real) - (_a.imaginary * _b.imaginary), (_a.real * _b.imaginary) + (_a.imaginary * _b.real)]
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: [-_a.real, -_a.imaginary]
Parameters:
this
Returns: complex

inverse(this)
Inverse of complex_number, in the form: [1/_a.real, 1/_a.imaginary]
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 [real, imaginary]

radius(this)
Radius(magnitude) of complex_number, in the form: [sqrt(pow(complex_number))]
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.

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v3 minor update.