less_retarded_wiki/julia_set.md

# Julia Set

TODO

```
 ___________________________________________________________________
| Julia Set for -0.34 - 0.63i       :.                              |
|                                ..':. ..                           |
|                                '':.:'''      ..       ..          |
|                                 :':::.. ''  ::.    .. :.'         |
|                                  '::::. :: :::. .   :.'': .       |
|                              ......':::.::.:: ...::.:::.::.. .    |
|                              :::::::::':'.':.::::::::':.::''::..  |
|                   .             '::::'':':::':'':::'  ::''  '     |
|                   ':.       .   .. ..::'::':::.   '   :'          |
|                 . :: :'     ::..::::::: ::: ':::..     '          |
|                   :'::::   '.:::::::::'.::::'  ''                 |
|                    .:::::' ':::::::::. ''::::'.                   |
|                  :. '::::'.::::::::::.  '::':.'                   |
|          . .   '':::. ::: ::::::::'::'    .::::                   |
|         :':.  ... ':::.:':::''  '  '        ''.                   |
|        ..::  .::::::...':.::::::.:                                |
|   :::...' '.::::::::'.: .:.:'::::'':                              |
|    '' :. : .:''':' :::'::':::.   ' '                              |
|         '::'': '' '::: ::'':::::                                  |
|          ::       ':.  '' '':::.:                                 |
|         ' '       '        ::.:.'.'                               |
|                              ::'                                  |
|                              '                                    |
|___________________________________________________________________|
```


# Code

The following code is a simple [C](c.md) program that renders given Julia set into terminal (for demonstrative purposes, it isn't efficient or do any [antialiasing](antialiasing.md)).

```
#include <stdio.h>

#define ROWS 30
#define COLS 70
#define SET_X -0.36 // Julia set parameter
#define SET_Y -0.62 // Julia set parameter
#define FROM_X -1.5
#define FROM_Y 1.0
#define STEP (3.0 / ((double) COLS))

unsigned int julia(double x, double y)
{
  double cx = x, cy = y, tmp;

  for (int i = 0; i < 1000; ++i)
  {
    tmp = cx * cx - cy * cy + SET_X;
    cy = 2 * cx * cy + SET_Y;
    cx = tmp;

    if (cx * cx + cy * cy > 10000000000)
      return 0;
  }

  return 1;
}

int main(void)
{
  double cx, cy = FROM_Y;

  for (int y = 0; y < ROWS; ++y)
  {
    cx = FROM_X;

    for (int x = 0; x < COLS; ++x)
    {
      unsigned int point = 
        julia(cx,cy) + (julia(cx,cy + STEP) * 2);   

      putchar(point == 3 ? ':' : (point == 2 ? '\'' : 
        (point == 1 ? '.' : ' ')));

      cx += STEP;
    }

    putchar('\n');

    cy -= 2 * STEP;
  }

  return 0;
}
```