some new things, mostly not working or finished

math/mandelbrot.c

@@ -0,0 +1,61 @@
+#include "mandelbrot.h"
+#include <math.h>
+
+// Clamp helper
+static int clamp(int val) {
+    if (val < 0) return 0;
+    if (val > 255) return 255;
+    return val;
+}
+
+// Mandelbrot iterations
+int mandelbrot(Complex z0, int max_iter) {
+    Complex z = z0;
+    for (int i = 0; i < max_iter; i++) {
+        if (complex_abs(z) > 2.0) return i;
+        z = complex_add(complex_mul(z, z), z0);
+    }
+    return max_iter;
+}
+
+// Simple HSV -> RGB helper
+static Color hsv_to_rgb(double h, double s, double v) {
+    double r = 0, g = 0, b = 0;
+
+    int i = (int)(h * 6);
+    double f = h * 6 - i;
+    double p = v * (1 - s);
+    double q = v * (1 - f * s);
+    double t = v * (1 - (1 - f) * s);
+
+    switch (i % 6) {
+    case 0: r = v; g = t; b = p; break;
+    case 1: r = q; g = v; b = p; break;
+    case 2: r = p; g = v; b = t; break;
+    case 3: r = p; g = q; b = v; break;
+    case 4: r = t; g = p; b = v; break;
+    case 5: r = v; g = p; b = q; break;
+    }
+
+    Color c = { (unsigned char)clamp((int)(r * 255)),
+                (unsigned char)clamp((int)(g * 255)),
+                (unsigned char)clamp((int)(b * 255)) };
+    return c;
+}
+
+// Color Mandelbrot
+Color color_mandelbrot(Complex z0, int max_iter) {
+    int iter = mandelbrot(z0, max_iter);
+
+    if (iter == max_iter)
+        return (Color) { 0, 0, 0 }; // black inside the set
+
+    // Map iteration to color hue
+    double t = (double)iter / max_iter;
+    double hue = 0.95 + 10 * t; // arbitrary scaling for more variation
+    hue = fmod(hue, 1.0);
+    double sat = 0.6;  // saturation
+    double val = 1.0;  // brightness
+
+    return hsv_to_rgb(hue, sat, val);
+}