93 lines
2.8 KiB
Markdown
93 lines
2.8 KiB
Markdown
|
# 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;
|
||
|
|
}
|
||
|
|
```
|