feat: add JavaScript backend for browser/Node.js compilation

Implement Phase 1 of the browser/frontend plan with a complete JS
code generator that compiles Lux programs to JavaScript:

- Basic types: Int, Float, Bool, String, Unit → JS primitives
- Functions and closures → native JS functions with closure capture
- Pattern matching → if/else chains with tag checks
- ADT definitions → tagged object constructors
- Built-in types (Option, Result) → Lux.Some/None/Ok/Err helpers
- Effects → handler objects passed as parameters
- List operations → Array methods (map, filter, reduce, etc.)
- Top-level let bindings and run expressions

CLI usage:
  lux compile app.lux --target js -o app.js
  lux compile app.lux --target js --run

Tested with factorial, datatypes, functional, tailcall, and hello
examples - all producing correct output when run in Node.js.

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

src/codegen/mod.rs

@@ -2,10 +2,13 @@
 //!
 //! This module provides compilation to various targets:
 //! - C: For native compilation via GCC/Clang
-//! - JavaScript: For frontend/browser deployment (planned)
+//! - JavaScript: For frontend/browser deployment
 //! - WebAssembly: For portable deployment (planned)
 
 pub mod c_backend;
+pub mod js_backend;
 
 #[allow(unused_imports)]
 pub use c_backend::CBackend;
+#[allow(unused_imports)]
+pub use js_backend::JsBackend;

src/main.rs

@@ -140,21 +140,32 @@ fn main() {
                 handle_pkg_command(&args[2..]);
             }
             "compile" => {
-                // Compile to native binary
+                // Compile to native binary or JavaScript
                 if args.len() < 3 {
                     eprintln!("Usage: lux compile <file.lux> [-o binary]");
                     eprintln!("       lux compile <file.lux> --run");
                     eprintln!("       lux compile <file.lux> --emit-c [-o file.c]");
+                    eprintln!("       lux compile <file.lux> --target js [-o file.js]");
                     std::process::exit(1);
                 }
                 let run_after = args.iter().any(|a| a == "--run");
                 let emit_c = args.iter().any(|a| a == "--emit-c");
+                let target_js = args.iter()
+                    .position(|a| a == "--target")
+                    .and_then(|i| args.get(i + 1))
+                    .map(|s| s.as_str() == "js")
+                    .unwrap_or(false);
                 let output_path = args.iter()
                     .position(|a| a == "-o")
                     .and_then(|i| args.get(i + 1))
                     .map(|s| s.as_str());
+
+                if target_js {
+                    compile_to_js(&args[2], output_path, run_after);
+                } else {
                     compile_to_c(&args[2], output_path, run_after, emit_c);
                 }
+            }
             path => {
                 // Run a file
                 run_file(path);
@@ -176,6 +187,7 @@ fn print_help() {
     println!("  lux compile <f> -o app   Compile to binary named 'app'");
     println!("  lux compile <f> --run    Compile and execute");
     println!("  lux compile <f> --emit-c Output C code instead of binary");
+    println!("  lux compile <f> --target js   Compile to JavaScript");
     println!("  lux fmt <file.lux>       Format a file (--check to verify only)");
     println!("  lux check <file.lux>     Type check without running");
     println!("  lux test [pattern]       Run tests (optional pattern filter)");
@@ -398,6 +410,93 @@ fn compile_to_c(path: &str, output_path: Option<&str>, run_after: bool, emit_c:
     }
 }
 
+fn compile_to_js(path: &str, output_path: Option<&str>, run_after: bool) {
+    use codegen::js_backend::JsBackend;
+    use modules::ModuleLoader;
+    use std::path::Path;
+    use std::process::Command;
+
+    let file_path = Path::new(path);
+    let source = match std::fs::read_to_string(file_path) {
+        Ok(s) => s,
+        Err(e) => {
+            eprintln!("Error reading file '{}': {}", path, e);
+            std::process::exit(1);
+        }
+    };
+
+    // Parse with module loading
+    let mut loader = ModuleLoader::new();
+    if let Some(parent) = file_path.parent() {
+        loader.add_search_path(parent.to_path_buf());
+    }
+
+    let program = match loader.load_source(&source, Some(file_path)) {
+        Ok(p) => p,
+        Err(e) => {
+            eprintln!("Module error: {}", e);
+            std::process::exit(1);
+        }
+    };
+
+    // Type check
+    let mut checker = TypeChecker::new();
+    if let Err(errors) = checker.check_program_with_modules(&program, &loader) {
+        for error in errors {
+            let diagnostic = error.to_diagnostic();
+            eprint!("{}", render(&diagnostic, &source, Some(path)));
+        }
+        std::process::exit(1);
+    }
+
+    // Generate JavaScript code
+    let mut backend = JsBackend::new();
+    let js_code = match backend.generate(&program) {
+        Ok(code) => code,
+        Err(e) => {
+            eprintln!("JS codegen error: {}", e);
+            std::process::exit(1);
+        }
+    };
+
+    // Determine output file path
+    let output_js = if let Some(out) = output_path {
+        Path::new(out).to_path_buf()
+    } else {
+        // Derive from source filename: foo.lux -> ./foo.js
+        let stem = file_path.file_stem()
+            .and_then(|s| s.to_str())
+            .unwrap_or("output");
+        Path::new(".").join(format!("{}.js", stem))
+    };
+
+    // Write the JavaScript file
+    if let Err(e) = std::fs::write(&output_js, &js_code) {
+        eprintln!("Error writing file '{}': {}", output_js.display(), e);
+        std::process::exit(1);
+    }
+
+    if run_after {
+        // Run with Node.js
+        let node_result = Command::new("node")
+            .arg(&output_js)
+            .status();
+
+        match node_result {
+            Ok(status) => {
+                std::process::exit(status.code().unwrap_or(1));
+            }
+            Err(e) => {
+                eprintln!("Failed to run with Node.js: {}", e);
+                eprintln!("Make sure Node.js is installed.");
+                std::process::exit(1);
+            }
+        }
+    } else {
+        eprintln!("Compiled to {}", output_js.display());
+    }
+}
+
 fn run_tests(args: &[String]) {
     use std::path::Path;
     use std::fs;