you need sfml

Mandelbrot Set.cpp

#include <SFML/Graphics.hpp>

typedef long double num;

const unsigned int w = 1200, h = 800;

sf::RenderWindow app(sf::VideoMode(w, h), "Mandelbrot Set");

num x = 0, y = 0, zoom = 2;

const unsigned int colors = 90;
const unsigned char r[colors] = {0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xee,0xdd,0xcc,0xbb,0xaa,0x99,0x88,0x77,0x66,0x55,0x44,0x33,0x22,0x11,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77,0x88,0x99,0xaa,0xbb,0xcc,0xdd,0xee,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff};
const unsigned char g[colors] = {0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77,0x88,0x99,0xaa,0xbb,0xcc,0xdd,0xee,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xee,0xdd,0xcc,0xbb,0xaa,0x99,0x88,0x77,0x66,0x55,0x44,0x33,0x22,0x11,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00};
const unsigned char b[colors] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77,0x88,0x99,0xaa,0xbb,0xcc,0xdd,0xee,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xee,0xdd,0xcc,0xbb,0xaa,0x99,0x88,0x77,0x66,0x55,0x44,0x33,0x22,0x11};

const unsigned int pixelC = w * h << 2;
sf::Uint8 pixels[pixelC];
unsigned int iter = 45;

const num zoomTime = 1.f/64.f;
const num oZoomTime = 1.f + zoomTime;
const num nZoomTime = 1.f - zoomTime;
const num zoomSpeed = 4;
const num rZoomSpeed = 1/zoomSpeed;

void drawFract(const unsigned int threadNum)
{
    const num bail = 4, ratio = ((num)app.getSize().x)/((num)app.getSize().y);

    const num   xStart = x - zoom,
                xIter = 2 * ratio * zoom / w,
                yIter = 2 * zoom / h;

    const unsigned int threadHeight = h/8;

    num py = y - zoom + (2 * zoom * threadNum) / 8;
    unsigned int counter = (w * threadHeight * 4) * threadNum;
    for(unsigned int iy = 0; iy < threadHeight; iy++)
    {
        num px = xStart;
        for(unsigned int ix = 0; ix < w; ix++)
        {
            pixels[counter + 0] = 0; pixels[counter + 1] = 0;
            pixels[counter + 2] = 0; pixels[counter + 3] = 255;

            num zr = px, zi = py;
            for(unsigned int i = 0; i < iter; i++)
            {
                const num   sqzr = zr * zr,
                            sqzi = zi * zi,
                            add = zr + zi;

                zi = py + add*add - sqzr - sqzi;
                zr = sqzr - sqzi + px;

                if(sqzr + sqzi > bail)
                {
                    i %= colors;
                    pixels[counter + 0] = r[i];
                    pixels[counter + 1] = g[i];
                    pixels[counter + 2] = b[i];
                    break;
                }
            }
            px += xIter;
            counter += 4;
        }
        py += yIter;
    }

    return;
}

void reset(){ const num ratio = ((num)app.getSize().y)/((num)app.getSize().x); x = -zoom; y = 0; zoom = 2; }

#define drawPixels; texture.update(pixels); app.draw(sprite); app.display();
#define launchBots; bot0.launch(); bot1.launch(); bot2.launch(); bot3.launch(); bot4.launch(); bot5.launch(); bot6.launch(); bot7.launch();
#define waitBots; bot0.wait(); bot1.wait(); bot2.wait(); bot3.wait(); bot4.wait(); bot5.wait(); bot6.wait(); bot7.wait();
int main()
{
    sf::Texture texture;
    texture.create(w,h);
    texture.setSmooth(true);
    sf::Sprite sprite(texture);

    app.setFramerateLimit(64);

    sf::Thread  bot0(drawFract,0), bot1(drawFract,1),
                bot2(drawFract,2), bot3(drawFract,3),
                bot4(drawFract,4), bot5(drawFract,5),
                bot6(drawFract,6), bot7(drawFract,7);

    reset();

    bool draw = true;
    while (app.isOpen())
    {
        sf::Event event;
        while (app.pollEvent(event))
        {
            if (event.type == sf::Event::Closed)
                app.close();
        }

        draw = true;
        if(sf::Mouse::isButtonPressed(sf::Mouse::Left))
        {
            const num ratio = ((num)app.getSize().y)/((num)app.getSize().x);
            const num wRatio = ((num)w)/((num)app.getSize().x);
            const num hRatio = ((num)h)/((num)app.getSize().y);

            num tx = sf::Mouse::getPosition(app).x*wRatio,
                ty = sf::Mouse::getPosition(app).y*hRatio;

            sprite.setOrigin(tx,ty);
            sprite.setPosition(tx,ty);

            tx -= ((num)w)*0.5*ratio; ty -= ((num)h)*0.5;
            tx *= zoom; ty *= zoom;
            tx /= ((num)w)*0.5*ratio; ty /= ((num)h)*0.5;

            if(sf::Keyboard::isKeyPressed(sf::Keyboard::LShift))
            {
                x -= tx * (zoomSpeed - 1); y -= ty * (zoomSpeed - 1);
                zoom *= zoomSpeed;

                launchBots;

                for(num scale = 1; scale >= rZoomSpeed; scale *= nZoomTime)
                {
                    app.clear(sf::Color(64,64,64));
                    sprite.setScale(scale,scale);
                    app.draw(sprite); app.display();
                }
            } else
            {
                x += tx * (1 - rZoomSpeed); y += ty * (1 - rZoomSpeed);
                zoom *= rZoomSpeed;

                launchBots;

                for(num scale = 1; scale <= zoomSpeed; scale *= oZoomTime)
                {
                    app.clear(sf::Color(64,64,64));
                    sprite.setScale(scale,scale);
                    app.draw(sprite); app.display();
                }
            }
            waitBots;

            sprite.setScale(1,1);
            sprite.setOrigin(0,0);
            sprite.setPosition(0,0);
            drawPixels;

            draw = false;
        }
        else if(sf::Keyboard::isKeyPressed(sf::Keyboard::Up))
        { iter *= 2; while(sf::Keyboard::isKeyPressed(sf::Keyboard::Up)){} }
        else if(sf::Keyboard::isKeyPressed(sf::Keyboard::Down) && iter > 45)
        { iter *= 0.5; while(sf::Keyboard::isKeyPressed(sf::Keyboard::Down)){} }
        else if(sf::Keyboard::isKeyPressed(sf::Keyboard::Space))
        { reset(); while(sf::Keyboard::isKeyPressed(sf::Keyboard::Space)){} }
        else { draw = false; }

        if(draw)
        {
            /** UNLEASH THE BOTS!!! **/
            bot0.launch(); bot1.launch();
            bot2.launch(); bot3.launch();
            bot4.launch(); bot5.launch();
            bot6.launch(); bot7.launch();

            /** Ok bots bring it back in **/
            bot0.wait(); bot1.wait();
            bot2.wait(); bot3.wait();
            bot4.wait(); bot5.wait();
            bot6.wait(); bot7.wait();

            /** THE BOTS DID WHAT?!?!?! **/
            drawPixels;
        }
    }

    return EXIT_SUCCESS;
}