/
mandel_iter04.cpp
79 lines (67 loc) · 1.74 KB
/
mandel_iter04.cpp
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#include "complex_plot.hpp"
class mandel_iter04 : public complex_plot {
protected:
int n;
int m;
cplx transform(cplx c) {
cplx z(c);
cplx w(0);
int k = 0;
while (k < n-1) {
++k;
w = w*w + c; //1.0 + c*(w*w);
if (abs(w) > 1e80) break;
z *= pow(1.0 + c/(w*w), pow(0.5, k));
}
for (int j = 0; j < m; ++j) {
if (abs(z) > 1e80) break;
z *= z;
}
return z*pow(0.5, pow(0.5, n-1-m));
}
color colormap(cplx z) {
double n(std::norm(z));
if (n < 1) n = pow(n, pow(2.0, this->n-1-m));
//if (n < 1) n = HUGE_VAL;
n = std::sqrt(n);
//n = std::log(n);
n = (n-1)/(n+1);
double d(std::acos(2*sqrt(abs(n)) - 1)/M_PI);
//double d(std::acos(n)/M_PI);
if (std::norm(z) < 1) d = 1 - d;
return HSLcolor(std::arg(z), 1.0, d);
}
void init(int num_iter, int num_post_iter) {
n = num_iter;
m = num_post_iter;
}
public:
mandel_iter04(int n = 1, int m = 0) {
if (n >= 0) {
init(n, m);
width_set_window(1600, 1200, 6, -0.5);
set_title("Mandelbrot iterate");
bmp_name = "mandel_iter01.bmp";
run(3);
}
}
};
int main(int argc, char **argv) {
if (argc < 2) {
cerr << "Usage: " << argv[0]
<< " num_iter [num_post_iter]" << endl;
return 2;
}
try {
int n = atoi(argv[1]);
int m = 0;
if (argc >= 3) {
m = atoi(argv[2]);
}
(mandel_iter04(n, m));
} catch (std::string s) {
cerr << "Error: " << s << endl;
return 1;
}
return 0;
}