- Moves x86_64 backend implementation from a single file into a
structured module (`codegen`, `types`, `mod`).
- Introduces a dedicated `Codegen` helper to enforce x86-64 hardware
constraints (e.g., preventing memory-to-memory moves).
- Implements strongly-typed register formatting and operand width
handling.
- Renames `Instruction::Assign` to `Instruction::Copy` across the IR and
all optimization passes to better reflect semantic intent.
- Updates the x86 backend to handle ABI-compliant stack alignment and
register allocation more robustly.
- Split `BinaryOp::Mul` into `BinaryOp::SMul` and `BinaryOp::UMul` in
the IR.
- Implement x86_64 codegen for `UMul` using the `mulq` instruction.
- Update `X86Backend` to use `imulq` specifically for `SMul`.
- Update constant folding and IR printer to support the new
multiplication operations.
- Optimize function epilogue by omitting the final `jmp` on fallthrough.
- Update `main` test case to use `build_umul`.
- Initialize Rust project configuration (Cargo) and .gitignore
- Implement core Intermediate Representation (IR), printer, and builder
utilities
- Add IR validation module for type checking and constraint verification
- Introduce optimization passes: Mem2Reg, Constant Folding, Copy
Propagation, Dead Code Elimination, and SSA Destruction
- Implement x86_64 backend for assembly code generation
- Add a C test harness and main entry point to generate, compile, and
test a GCD assembly function