STATUS: stable complex More...
#include "definitions.h"
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Go to the source code of this file.
Data Structures | |
| struct | Complex |
Functions | |
| Complex | complex (double re, double im) |
| constructor. | |
| double | complex_abs (Complex a) |
| absolute value of complex number. | |
| Complex | complex_add (Complex a, Complex b) |
| complex addition. | |
| Complex | complex_add_dbl (Complex a, double b) |
| Complex | complex_bilinear_transform (Complex pz) |
| bilinear transform of a complex number. | |
| Complex | complex_conj (Complex a) |
| complex conjugate. | |
| Complex | complex_div (Complex a, Complex b) |
| complex division. | |
| Complex | complex_exp (Complex a) |
| exponential function of a complex number. | |
| Complex | complex_mul (Complex a, Complex b) |
| complex multiplication. | |
| Complex | complex_mul_double (Complex a, double b) |
| complex multiplication with real number. | |
| Complex | complex_neg (Complex a) |
| complex negate. | |
| Complex | complex_sqrt (Complex x) |
| complex square root. | |
| Complex | complex_sub (Complex a, Complex b) |
| complex subtraction. | |
Detailed Description
STATUS: stable complex
Complex Numbers.
Definition in file complex.h.
Function Documentation
| Complex complex | ( | double | re, | |
| double | im | |||
| ) |
| double complex_abs | ( | Complex | a | ) |
![\[ \frac{(a + bi)}{(c + di)} = \left({ac + bd \over c^2 + d^2}\right) + \left( {bc - ad \over c^2 + d^2} \right)i \]](form_28.png)
![\[ \exp( a+bi ) = \exp( a )\cdot (\cos b + i\sin b ) \]](form_27.png)
