# Complex math library

The complex math library implements functions for mathematical operations on complex numbers. The functions are implemented for complex numbers in cartesian form. Transformation functions to and from the polar form are provided. If only one part of the complex number is used (only real, only imaginary or only magnitude), the other part should still be set to zero!!

## Reference

typedef struct uz_complex_cartesian_t uz_complex_cartesian_t

struct for complex number in cartesian form

typedef struct uz_complex_polar_t uz_complex_polar_t

struct for complex number in exponantial form

Parameters
• arg1 – first summand

• arg2 – second summand

Returns

uz_complex_cartesian_t the complex addition of both summands

uz_complex_cartesian_t uz_complex_subtraction(uz_complex_cartesian_t subtrahend, uz_complex_cartesian_t minuend)

subtraction for complex numbers

Parameters
• subtrahend – number to subtract

• minuend – number to subtract with

Returns

uz_complex_cartesian_t the complex subtraction of subtrahend - minuend

uz_complex_cartesian_t uz_complex_multiplication(uz_complex_cartesian_t arg1, uz_complex_cartesian_t arg2)

multiplication for complex numbers

Parameters
• arg1 – first factor

• arg2 – second factor

Returns

uz_complex_cartesian_t the complex multiplication of both factors

uz_complex_cartesian_t uz_complex_division(uz_complex_cartesian_t dividend, uz_complex_cartesian_t divisor)

division for complex numbers

Parameters
• dividend – number to get divided

• divisor – number to divide with

Returns

uz_complex_cartesian_t the complex division of dividend/divisor

uz_complex_polar_t uz_complex_cartesian_to_polar(uz_complex_cartesian_t in)

transformation from complex cartesian to complex polar

Parameters
• in – cartesian complex number

Returns

uz_complex_polar_t complex number in polar form

uz_complex_cartesian_t uz_complex_polar_to_cartesian(uz_complex_polar_t in)

transformation from complex polar to complex cartesian

Parameters
• in – polar complex number

Returns

uz_complex_cartesian_t complex number in cartesian form