[C++ / GrAPic] Cool fractal

// you shall download grapic, open grapic-[whatever version it is]/build/[OS]/grapic.workspace in code::blocks and copy-paste this code in some .cpp from the workspace. ain't gonna do this for y'all every time... xD

#include <Grapic.h>
#include <math.h>
#include <iostream>
#include <windows.h>

// si vous vous demandez pourquoi y a tout ça là :
const float pi = 3.141592653;
struct complex { float x, y; };
complex C (float x, float y) { struct complex ret; ret.x = x; ret.y = y; return ret; }
complex C_exp (float rho, float theta) { complex ret; ret.x = rho*cos(theta); ret.y = rho*sin(theta); return ret; }
complex operator+ (complex a, complex b) { complex ret; ret.x = a.x + b.x; ret.y = a.y + b.y; return ret; }
complex operator- (complex a, complex b) { complex ret; ret.x = a.x - b.x; ret.y = a.y - b.y; return ret; }
complex operator* (float a, complex b) { complex ret; ret.x = a * b.x; ret.y = a * b.y; return ret; }
complex operator* (complex a, complex b) { complex ret; ret.x = a.x * b.x - a.y * b.y; ret.y = a.x * b.y + a.y * b.x; return ret; }
complex scale (complex p, float x, float y, float lambda) { return lambda*(p-C(x,y)); }
complex translate (complex P, float dx, float dy) { complex ret; ret = P+C(dx,dy); return ret; }
complex rotate (complex p, float x, float y, float theta) { return (p-C(x,y))*C_exp(1,theta)+C(x,y); }
void show (complex z) { std::cout << z.x << " + " << z.y << " i"; }
float abs (complex z) { return sqrt(z.x*z.x + z.y*z.y); }
float arg (complex z) { if (z.x > 0 or z.y != 0) return 2*atan(z.y/(z.x+abs(z))); else -pi; }
complex operator/ (complex a, complex b) { complex ret; ret.x = b.x/abs(b); ret.y = b.y/abs(b); return a*ret; }
// c'est du bout d'code que j'ai mis dans un .h et qu'j'ai include après, du coup j'ai juste copié-collé l'contenu du header ^^'

using namespace grapic;
const int DIMW = 1000;
const int MAX = 1000;

int f (float x) {
    return DIMW*(x+1)/2;
}
float f_inv (float x) {
    return 3*(x-DIMW/2)/DIMW;
}

complex exp (complex z) { return C(z.x,0)*C(cos(z.y),sin(z.y)); }
complex cos (complex z) { return (exp(C(0,1)*z)+exp(C(0,-1)*z))*C(0.5,0); }

complex heavisign (complex z) {
    return (cos(C(pi,0)*z)+C(1,0))*C(0.5,0);
}

int julia (complex z, complex c) {
    complex julia = z-C(2,0);
    complex Max_J = julia;
    int Max = 0;
    for (int i = 1; i < 50; i++) {
        julia = C(0.5,0)*(C(3,0)*julia+C(1,0))*heavisign(julia+C(1,0))+C(0.5,0)*julia*heavisign(julia);
        if (abs(julia) > abs(Max_J)) {
            Max_J = julia;
            Max = i;
        }
    }
    return Max;
}

void bruh (int a, char b) {
    if (a > 0) for (int i = 0; i < a; i++) printf("%c",b);
}

void percentage (float x) {
    bruh((x/DIMW*10+1),'\xDB');
    bruh(((1-x/DIMW)*10-1),'\xB0');
    printf("\r");
}

float r (int n) { return std::max(255/3-(255-n),0)*3; }
float g (int n) { return std::max(255/3-abs((255-n)-255/3),0)*3; }
float b (int n) { return std::max(255/3-abs((255-n)-2*255/3),0)*3; }

int main (int, char**) {
    bool stop = false, s = false;
    winInit("julia",DIMW,DIMW);
    backgroundColor(0,0,0);
    int i,j;
    int x,y;
    complex z = C(0.2,0.6);
    float z1,z2=0;
    while (!stop) {
        system("cls");
        winClear();
        z2 = 0;
        for (i = 0; i < DIMW; i += 2) {
            for (j = 0; j < DIMW; j += 2) {
                if (julia(C(f_inv(i),f_inv(j)),z) > z2) { z2 = julia(C(f_inv(i),f_inv(j)),z); }
            }
            percentage(i);
        }
        printf("\n");
        for (i = 0; i < DIMW; i++) {
            for (j = 0; j < DIMW; j++) {
                z1 = julia(C(f_inv(i),f_inv(j)),z);
                put_pixel(i,j,r(z1*255/z2),g(z1*255/z2),b(z1*255/z2));
            }
            percentage(i);
        }
        system("cls");
        s = false;
        while (!s) {
            s = winDisplay();
            if (isKeyPressed(SDLK_SPACE)) {
                s = true;
            }
        }
        pressSpace();
        printf("Re(z) = "); std::cin >> z.x;
        printf("Im(z) = "); std::cin >> z.y;
        stop = winDisplay();
    }
    winQuit();
    return 0;
}