Add mandelbrot program

Makefile

@@ -53,6 +53,7 @@ user-rust:
 	cargo rustc $(user-cargo-opts) --bin hello -- $(linker-opts)
 	cargo rustc $(user-cargo-opts) --bin geocal -- $(linker-opts)
 	cargo rustc $(user-cargo-opts) --bin geodate -- $(linker-opts)
+	cargo rustc $(user-cargo-opts) --bin mandelbrot -- $(linker-opts)
 	basename -s .rs src/bin/*.rs | xargs -I {} \
 		cp target/x86_64-moros/release/{} dsk/bin/{}
 	basename -s .rs src/bin/*.rs | xargs -I {} \

dsk/var/pkg/index.html

@@ -8,3 +8,4 @@
 hello
 life
 lisp
+mandelbrot

src/bin/mandelbrot.rs

@@ -0,0 +1,66 @@
+#![no_std]
+#![no_main]
+
+extern crate alloc;
+
+//use moros::print;
+use moros::api::fs;
+use moros::api::io;
+use moros::api::vga;
+use moros::entry_point;
+
+entry_point!(main);
+
+fn palette() -> [u8; 768] {
+    let mut palette = [0; 768];
+    for i in 0..256 {
+        palette[i * 3 + 0] = i as u8; // R
+        palette[i * 3 + 1] = i as u8; // G
+        palette[i * 3 + 2] = i as u8; // B
+    }
+    palette
+}
+
+fn mandelbrot() -> [u8; 320 * 200] {
+    let mut buffer = [0; 320 * 200];
+    let (x_min, x_max) = (-2.0, 1.0);
+    let (y_min, y_max) = (-1.0, 1.0);
+    for y in 0..200 {
+        for x in 0..320 {
+            // Map pixel position to complex plane
+            let cx = x_min + (x as f32 / 320.0) * (x_max - x_min);
+            let cy = y_min + (y as f32 / 200.0) * (y_max - y_min);
+
+            // Compute whether the point is in the Mandelbrot Set
+            let mut zx = 0.0;
+            let mut zy = 0.0;
+            let mut i = 0;
+            let n = 255;
+
+            while zx * zx + zy * zy <= 4.0 && i < n {
+                let tmp = zx * zx - zy * zy + cx;
+                zy = 2.0 * zx * zy + cy;
+                zx = tmp;
+                i += 1;
+            }
+
+            // Color the pixel based on the number of iterations
+            buffer[y * 320 + x] = i as u8;
+        }
+    }
+    buffer
+}
+
+fn wait() {
+    while io::stdin().read_char().is_none() {
+        x86_64::instructions::hlt();
+    }
+}
+
+fn main(_args: &[&str]) {
+    vga::graphic_mode();
+    fs::write("/dev/vga/palette", &palette()).ok();
+    fs::write("/dev/vga/buffer", &mandelbrot()).ok();
+    wait();
+    vga::text_mode();
+}