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/* ************************************************************************** */
/* */
/* ::: :::::::: */
/* tricorn.c :+: :+: :+: */
/* +:+ +:+ +:+ */
/* By: cacharle <marvin@42.fr> +#+ +:+ +#+ */
/* +#+#+#+#+#+ +#+ */
/* Created: 2020/02/24 16:00:46 by cacharle #+# #+# */
/* Updated: 2020/02/25 07:34:01 by cacharle ### ########.fr */
/* */
/* ************************************************************************** */
#include "fractol.h"
#define TRICORN_MAX_ITERATION 20
#define TRICORN_ESCAPE_RADIUS_SQUARED 100
int tricorn(t_state *state, t_complex z)
{
int n;
double zr;
double zi;
double zr_square;
double zi_square;
double tmp;
(void)state;
zr = z.r;
zi = z.i;
n = -1;
while (++n < state->iterations)
{
zi_square = zi * zi;
zr_square = zr * zr;
if (zr_square + zi_square > TRICORN_ESCAPE_RADIUS_SQUARED)
break;
tmp = zr_square - zi_square + z.r;
zi = -2.0 * zr * zi + z.i;
zr = tmp;
}
return (n);
}
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