#![allow(dead_code)] use std::fmt; use std::io::{self, BufRead}; use std::str; #[derive(Copy, Clone)] enum RawOpcode { Addr, Addi, Mulr, Muli, Banr, Bani, Borr, Bori, Setr, Seti, Gtir, Gtri, Gtrr, Eqir, Eqri, Eqrr, } impl str::FromStr for RawOpcode { type Err = io::Error; fn from_str(s: &str) -> io::Result { Ok(match s { "addr" => RawOpcode::Addr, "addi" => RawOpcode::Addi, "mulr" => RawOpcode::Mulr, "muli" => RawOpcode::Muli, "banr" => RawOpcode::Banr, "bani" => RawOpcode::Bani, "borr" => RawOpcode::Borr, "bori" => RawOpcode::Bori, "setr" => RawOpcode::Setr, "seti" => RawOpcode::Seti, "gtir" => RawOpcode::Gtir, "gtri" => RawOpcode::Gtri, "gtrr" => RawOpcode::Gtrr, "eqir" => RawOpcode::Eqir, "eqri" => RawOpcode::Eqri, "eqrr" => RawOpcode::Eqrr, _ => panic!("Invalid raw opcode"), }) } } #[derive(Copy, Clone)] pub enum Oper { Reg(usize), Num(usize), } impl Oper { pub fn map_reg Oper>(&mut self, func: F) { *self = match *self { Oper::Reg(r) => func(r), Oper::Num(n) => Oper::Num(n) }; } } impl fmt::Display for Oper { fn fmt(&self, w: &mut fmt::Formatter) -> fmt::Result { match self { Oper::Reg(r) => write!(w, "r{}", r), Oper::Num(n) => write!(w, "{}", n), } } } struct RawInstr { op: RawOpcode, a: usize, b: usize, c: usize, } impl fmt::Display for RawInstr { fn fmt(&self, w: &mut fmt::Formatter) -> fmt::Result { match self.op { RawOpcode::Addr => write!(w, "r{} <- {} + {}", self.c, self.a, self.b), RawOpcode::Addi => write!(w, "r{} <- {} + {}", self.c, self.a, self.b), RawOpcode::Mulr => write!(w, "r{} <- {} * {}", self.c, self.a, self.b), RawOpcode::Muli => write!(w, "r{} <- {} * {}", self.c, self.a, self.b), RawOpcode::Banr => write!(w, "r{} <- {} & {}", self.c, self.a, self.b), RawOpcode::Bani => write!(w, "r{} <- {} & {}", self.c, self.a, self.b), RawOpcode::Borr => write!(w, "r{} <- {} | {}", self.c, self.a, self.b), RawOpcode::Bori => write!(w, "r{} <- {} | {}", self.c, self.a, self.b), RawOpcode::Setr => write!(w, "r{} <- {}", self.c, self.a), RawOpcode::Seti => write!(w, "r{} <- {}", self.c, self.a), RawOpcode::Gtir => write!(w, "r{} <- {} > {}", self.c, self.a, self.b), RawOpcode::Gtri => write!(w, "r{} <- {} > {}", self.c, self.a, self.b), RawOpcode::Gtrr => write!(w, "r{} <- {} > {}", self.c, self.a, self.b), RawOpcode::Eqir => write!(w, "r{} <- {} == {}", self.c, self.a, self.b), RawOpcode::Eqri => write!(w, "r{} <- {} == {}", self.c, self.a, self.b), RawOpcode::Eqrr => write!(w, "r{} <- {} == {}", self.c, self.a, self.b), } } } impl str::FromStr for RawInstr { type Err = io::Error; fn from_str(line: &str) -> io::Result { let mut iter = line.split(' '); let mut next_string = move || iter.next().ok_or(io::Error::new(io::ErrorKind::Other, "Invalid raw instruction")); macro_rules! next_int { ( $var:ident ) => { let $var = next_string()?.parse() .or(Err(io::Error::new(io::ErrorKind::Other, "Invalid number in raw instruction")))?; } }; let op = next_string()?.parse()?; next_int!(a); next_int!(b); next_int!(c); Ok(RawInstr { op, a, b, c }) } } pub enum Instr { // src1, src2, dest Add(Oper, Oper, usize), Mul(Oper, Oper, usize), Ban(Oper, Oper, usize), Bor(Oper, Oper, usize), Grt(Oper, Oper, usize), Equ(Oper, Oper, usize), Set(Oper, usize), } impl Instr { fn from_raw_instr(ins: &RawInstr) -> Self { match ins.op { RawOpcode::Addr => Instr::Add(Oper::Reg(ins.a), Oper::Reg(ins.b), ins.c), RawOpcode::Addi => Instr::Add(Oper::Reg(ins.a), Oper::Num(ins.b), ins.c), RawOpcode::Mulr => Instr::Mul(Oper::Reg(ins.a), Oper::Reg(ins.b), ins.c), RawOpcode::Muli => Instr::Mul(Oper::Reg(ins.a), Oper::Num(ins.b), ins.c), RawOpcode::Banr => Instr::Ban(Oper::Reg(ins.a), Oper::Reg(ins.b), ins.c), RawOpcode::Bani => Instr::Ban(Oper::Reg(ins.a), Oper::Num(ins.b), ins.c), RawOpcode::Borr => Instr::Bor(Oper::Reg(ins.a), Oper::Reg(ins.b), ins.c), RawOpcode::Bori => Instr::Bor(Oper::Reg(ins.a), Oper::Num(ins.b), ins.c), RawOpcode::Setr => Instr::Set(Oper::Reg(ins.a), ins.c), RawOpcode::Seti => Instr::Set(Oper::Num(ins.a), ins.c), RawOpcode::Gtir => Instr::Grt(Oper::Num(ins.a), Oper::Reg(ins.b), ins.c), RawOpcode::Gtri => Instr::Grt(Oper::Reg(ins.a), Oper::Num(ins.b), ins.c), RawOpcode::Gtrr => Instr::Grt(Oper::Reg(ins.a), Oper::Reg(ins.b), ins.c), RawOpcode::Eqir => Instr::Equ(Oper::Num(ins.a), Oper::Reg(ins.b), ins.c), RawOpcode::Eqri => Instr::Equ(Oper::Reg(ins.a), Oper::Num(ins.b), ins.c), RawOpcode::Eqrr => Instr::Equ(Oper::Reg(ins.a), Oper::Reg(ins.b), ins.c), } } pub fn map_reads Oper>(&mut self, func: F) { match self { Instr::Add(a, b, _) => { a.map_reg(&func); b.map_reg(&func); }, Instr::Mul(a, b, _) => { a.map_reg(&func); b.map_reg(&func); }, Instr::Ban(a, b, _) => { a.map_reg(&func); b.map_reg(&func); }, Instr::Bor(a, b, _) => { a.map_reg(&func); b.map_reg(&func); }, Instr::Grt(a, b, _) => { a.map_reg(&func); b.map_reg(&func); }, Instr::Equ(a, b, _) => { a.map_reg(&func); b.map_reg(&func); }, Instr::Set(a, _) => a.map_reg(func), }; } pub fn inline_reg(&mut self, reg: usize, value: Oper) { self.map_reads(|r| if r == reg { value } else { Oper::Reg(r) }); } } impl fmt::Display for Instr { fn fmt(&self, w: &mut fmt::Formatter) -> fmt::Result { match self { Instr::Add(a, b, c) => write!(w, "r{} <- {} + {}", c, a, b), Instr::Mul(a, b, c) => write!(w, "r{} <- {} * {}", c, a, b), Instr::Ban(a, b, c) => write!(w, "r{} <- {} & {}", c, a, b), Instr::Bor(a, b, c) => write!(w, "r{} <- {} | {}", c, a, b), Instr::Grt(a, b, c) => write!(w, "r{} <- {} > {}", c, a, b), Instr::Equ(a, b, c) => write!(w, "r{} <- {} == {}", c, a, b), Instr::Set(a, c) => write!(w, "r{} <- {}", c, a), } } } #[derive(PartialEq, Eq, Clone)] pub struct Machine { pub regs: [usize; 6], } impl Machine { pub fn exec(&mut self, instr: &Instr) { match instr { &Instr::Add(a, b, c) => self.regs[c] = self.eval_oper(a) + self.eval_oper(b), &Instr::Mul(a, b, c) => self.regs[c] = self.eval_oper(a) * self.eval_oper(b), &Instr::Ban(a, b, c) => self.regs[c] = self.eval_oper(a) & self.eval_oper(b), &Instr::Bor(a, b, c) => self.regs[c] = self.eval_oper(a) | self.eval_oper(b), &Instr::Grt(a, b, c) => self.regs[c] = if self.eval_oper(a) > self.eval_oper(b) { 1 } else { 0 }, &Instr::Equ(a, b, c) => self.regs[c] = if self.eval_oper(a) == self.eval_oper(b) { 1 } else { 0 }, &Instr::Set(a, c) => self.regs[c] = self.eval_oper(a), } } pub fn exec_program(&mut self, prog: &[Instr], ip_reg: usize) { let mut ip = 0; while ip < prog.len() { self.regs[ip_reg] = ip; println!("{} ip={} {}", self, ip, prog[ip]); self.exec(&prog[ip]); ip = self.regs[ip_reg] + 1; } } pub fn eval_oper(&self, oper: Oper) -> usize { match oper { Oper::Reg(r) => self.regs[r], Oper::Num(n) => n, } } } impl fmt::Display for Machine { fn fmt(&self, w: &mut fmt::Formatter) -> fmt::Result { write!(w, "{}", self.regs[0])?; for i in 1..6 { write!(w, " {}", self.regs[i])?; } Ok(()) } } pub fn parse_program(reader: T) -> io::Result<(usize, Vec)> { let mut lines = reader.lines(); let ip_reg = match lines.next() { Some(line) => { let line = line?; if line.starts_with("#ip ") && line.len() == 5 { (line.as_bytes()[4] - '0' as u8) as usize } else { return Err(io::Error::new(io::ErrorKind::Other, "Program parse error: initial line not '#ip n'")); } } None => { return Err(io::Error::new(io::ErrorKind::Other, "Program parse error: empty file")); } }; let instrs = lines.map(|l| { Ok(Instr::from_raw_instr(&l?.parse()?)) }).collect::>>()?; Ok((ip_reg, instrs)) } #[derive(Clone, PartialEq, Eq)] pub enum SymVal { Val(usize), Add(Box, Box), Mul(Box, Box), Ban(Box, Box), Bor(Box, Box), Grt(Box, Box), Equ(Box, Box), If1(Box, Box, Box), } impl Default for SymVal { fn default() -> Self { SymVal::Val(0) } } impl SymVal { pub fn simplify(&mut self) { let optres = match self { SymVal::Val(n) => Some(SymVal::Val(*n)), SymVal::Add(a, b) => { a.simplify(); b.simplify(); SymVal::eval_vals(&*a, &*b, |x, y| x + y) } SymVal::Mul(a, b) => { a.simplify(); b.simplify(); SymVal::eval_vals(&*a, &*b, |x, y| x * y) } SymVal::Ban(a, b) => { a.simplify(); b.simplify(); SymVal::eval_vals(&*a, &*b, |x, y| x & y) } SymVal::Bor(a, b) => { a.simplify(); b.simplify(); SymVal::eval_vals(&*a, &*b, |x, y| x | y) } SymVal::Grt(a, b) => { a.simplify(); b.simplify(); SymVal::eval_vals(&*a, &*b, |x, y| (x > y) as usize) } SymVal::Equ(a, b) => { a.simplify(); b.simplify(); SymVal::eval_vals(&*a, &*b, |x, y| (x == y) as usize) } SymVal::If1(c, t, e) => { c.simplify(); t.simplify(); e.simplify(); match **c { SymVal::Val(1) => Some((**t).clone()), SymVal::Val(_) => Some((**e).clone()), _ => None, } } }; if let Some(res) = optres { *self = res; } } pub fn eval_vals usize>(a: &SymVal, b: &SymVal, func: F) -> Option { match (a, b) { (&SymVal::Val(x), &SymVal::Val(y)) => Some(SymVal::Val(func(x, y))), _ => None, } } } pub struct SymbolicMachine { pub regs: [SymVal; 6], } impl SymbolicMachine { pub fn from(m: &Machine) -> Self { let mut sm = SymbolicMachine { regs: Default::default() }; for i in 0..6 { sm.regs[i] = SymVal::Val(m.regs[i]); } sm } pub fn exec_oper(&self, oper: Oper) -> SymVal { match oper { Oper::Reg(r) => self.regs[r].clone(), Oper::Num(n) => SymVal::Val(n), } } pub fn exec(&mut self, instr: &Instr) { let (c, mut val) = match instr { &Instr::Add(a, b, c) => (c, SymVal::Add(Box::new(self.exec_oper(a)), Box::new(self.exec_oper(b)))), &Instr::Mul(a, b, c) => (c, SymVal::Mul(Box::new(self.exec_oper(a)), Box::new(self.exec_oper(b)))), &Instr::Ban(a, b, c) => (c, SymVal::Ban(Box::new(self.exec_oper(a)), Box::new(self.exec_oper(b)))), &Instr::Bor(a, b, c) => (c, SymVal::Bor(Box::new(self.exec_oper(a)), Box::new(self.exec_oper(b)))), &Instr::Grt(a, b, c) => (c, SymVal::Grt(Box::new(self.exec_oper(a)), Box::new(self.exec_oper(b)))), &Instr::Equ(a, b, c) => (c, SymVal::Equ(Box::new(self.exec_oper(a)), Box::new(self.exec_oper(b)))), &Instr::Set(a, c) => (c, self.exec_oper(a)), }; val.simplify(); self.regs[c] = val; } fn exec_find_loop(&mut self, prog: &[Instr], start_ip: usize, ip_reg: usize) -> bool { let mut ip = start_ip; while ip != start_ip { self.regs[ip_reg] = SymVal::Val(ip); // println!("{} ip={} {}", self, ip, prog[ip]); self.exec(&prog[ip]); self.regs[ip_reg].simplify(); ip = match self.regs[ip_reg] { SymVal::Val(v) => v, _ => return false, }; } false } }