C++曼德勃罗集实现

你好！下面是一个简单的C++代码示例，用于实现曼德勃罗集（Mandelbrot Set）的可视化：

#include <iostream>
#include <fstream>
#include <complex>

using namespace std;

const int WIDTH = 800;
const int HEIGHT = 800;
const double MIN_X = -2.0;
const double MAX_X = 1.0;
const double MIN_Y = -1.5;
const double MAX_Y = 1.5;
const int MAX_ITERATIONS = 1000;

int mandelbrotSet(double real, double imag) {
    complex<double> c(real, imag);
    complex<double> z(0, 0);

    int iterations = 0;
    while (abs(z) < 2.0 && iterations < MAX_ITERATIONS) {
        z = z * z + c;
        iterations++;
    }

    return iterations;
}

int main() {
    ofstream image("mandelbrot.ppm");
    image << "P3\n";
    image << WIDTH << " " << HEIGHT << "\n";
    image << "255\n";

    for (int y = 0; y < HEIGHT; y++) {
        for (int x = 0; x < WIDTH; x++) {
            double real = MIN_X + (MAX_X - MIN_X) * x / WIDTH;
            double imag = MIN_Y + (MAX_Y - MIN_Y) * y / HEIGHT;

            int iterations = mandelbrotSet(real, imag);

            int r = (iterations % 8) * 32;
            int g = (iterations % 16) * 16;
            int b = (iterations % 32) * 8;

            image << r << " " << g << " " << b << "\n";
        }
    }

    image.close();

    cout << "Mandelbrot set image generated!" << endl;

    return 0;
}

这段代码会生成一个名为 "mandelbrot.ppm" 的图像文件，它将可视化曼德勃罗集。你可以使用任何支持PPM文件格式的图像查看器来打开该文件。注意，这是一个简单的实现，可能在更高分辨率下运行较慢。你可以根据需要进行修改和优化。