variable-width integer operations

src/ast.rs

@@ -57,7 +57,7 @@ pub enum Tree {
   /// A nilary eraser node.
   Era,
   /// A native 60-bit integer.
-  Num { val: u64 },
+  Num { val: i64 },
   /// A nilary node, referencing a named net.
   Ref { nam: String },
   /// A n-ary interaction combinator.
@@ -303,9 +303,15 @@ impl<'i> Parser<'i> {
         // Num = "#" Int
         Some('#') => {
           self.advance_char();
-          Ok(Tree::Num { val: self.parse_int()? })
+          match self.peek_char() {
+            Some('-') => {
+              self.advance_char();
+              Ok(Tree::Num { val: -(self.parse_int()? as i64) })
+            }
+            _ => Ok(Tree::Num { val: self.parse_int()? as i64 }),
+          }
         }
-        // Op = "<" Op Tree Tree ">" | "<" Int Op Tree ">"
+        // Op = "<" Op Tree Tree ">"
         Some('<') => {
           self.advance_char();
           let op = self.parse_op()?;
@@ -372,7 +378,7 @@ impl<'i> Parser<'i> {
 
   /// See `ops.rs` for the available operators.
   fn parse_op(&mut self) -> Result<Op, String> {
-    let op = self.take_while(|c| "+-=*/%<>|&^!?$".contains(c));
+    let op = self.take_while(|c| "ui81632.+-=*/%<>|&^!?$".contains(c));
     op.parse().map_err(|_| format!("Unknown operator: {op:?}"))
   }
 

src/compile.rs

@@ -23,7 +23,7 @@ fn _compile_host(host: &Host) -> Result<String, fmt::Error> {
     .map(|(raw_name, def)| (raw_name, sanitize_name(raw_name), def));
 
   writeln!(code, "#![allow(non_upper_case_globals, unused_imports)]")?;
-  writeln!(code, "use crate::{{host::{{Host, DefRef}}, run::*, ops::Op::*}};")?;
+  writeln!(code, "use crate::{{host::{{Host, DefRef}}, run::*, ops::{{Op, Ty::*, IntOp::*}}}};")?;
   writeln!(code)?;
 
   writeln!(code, "pub fn host() -> Host {{")?;

src/host/encode.rs

@@ -126,7 +126,7 @@ trait Encoder {
   fn make_const(&mut self, port: Port) -> Self::Trg;
   fn ctr(&mut self, lab: Lab, trg: Self::Trg) -> (Self::Trg, Self::Trg);
   fn op(&mut self, op: Op, trg: Self::Trg) -> (Self::Trg, Self::Trg);
-  fn op_num(&mut self, op: Op, trg: Self::Trg, rhs: u64) -> Self::Trg;
+  fn op_num(&mut self, op: Op, trg: Self::Trg, rhs: i64) -> Self::Trg;
   fn mat(&mut self, trg: Self::Trg) -> (Self::Trg, Self::Trg);
   fn wires(&mut self) -> (Self::Trg, Self::Trg, Self::Trg, Self::Trg);
 }
@@ -164,7 +164,7 @@ impl Encoder for InterpretedDef {
     self.instr.push(Instruction::Op { op, trg, rhs, out });
     (rhs, out)
   }
-  fn op_num(&mut self, op: Op, trg: Self::Trg, rhs: u64) -> Self::Trg {
+  fn op_num(&mut self, op: Op, trg: Self::Trg, rhs: i64) -> Self::Trg {
     let out = self.new_trg_id();
     self.instr.push(Instruction::OpNum { op, trg, rhs, out });
     out
@@ -202,7 +202,7 @@ impl<'a, M: Mode> Encoder for run::Net<'a, M> {
   fn op(&mut self, op: Op, trg: Self::Trg) -> (Self::Trg, Self::Trg) {
     self.do_op(op, trg)
   }
-  fn op_num(&mut self, op: Op, trg: Self::Trg, rhs: u64) -> Self::Trg {
+  fn op_num(&mut self, op: Op, trg: Self::Trg, rhs: i64) -> Self::Trg {
     self.do_op_num(op, trg, rhs)
   }
   fn mat(&mut self, trg: Self::Trg) -> (Self::Trg, Self::Trg) {

src/ops.rs

@@ -1,30 +1,79 @@
 use crate::util::bi_enum;
+use std::{
+  cmp::{Eq, Ord},
+  fmt::Display,
+  str::FromStr,
+};
+
+trait Num: Eq + Ord + Sized {
+  const ZERO: Self;
+  const ONE: Self;
+
+  fn add(a: Self, b: Self) -> Self;
+  fn sub(a: Self, b: Self) -> Self;
+  fn mul(a: Self, b: Self) -> Self;
+  fn div(a: Self, b: Self) -> Self;
+  fn rem(a: Self, b: Self) -> Self;
+  fn and(a: Self, b: Self) -> Self;
+  fn or(a: Self, b: Self) -> Self;
+  fn xor(a: Self, b: Self) -> Self;
+  fn shl(a: Self, b: Self) -> Self;
+  fn shr(a: Self, b: Self) -> Self;
+
+  fn from_bool(b: bool) -> Self {
+    if b { Self::ONE } else { Self::ZERO }
+  }
+}
+
+macro_rules! impl_num {
+  ( $($ty:ty),+ ) => {
+    $(
+    impl Num for $ty {
+      const ZERO: $ty = 0;
+      const ONE: $ty = 1;
+
+      fn add(a: $ty, b: $ty) -> $ty { a.wrapping_add(b) }
+      fn sub(a: $ty, b: $ty) -> $ty { a.wrapping_sub(b) }
+      fn mul(a: $ty, b: $ty) -> $ty { a.wrapping_mul(b) }
+      fn div(a: $ty, b: $ty) -> $ty { a.checked_div(b).unwrap_or(0) }
+      fn rem(a: $ty, b: $ty) -> $ty { a.checked_rem(b).unwrap_or(0) }
+      fn and(a: $ty, b: $ty) -> $ty { a & b }
+      fn or(a: $ty, b: $ty) -> $ty { a | b }
+      fn xor(a: $ty, b: $ty) -> $ty { a ^ b }
+      fn shl(a: $ty, b: $ty) -> $ty { a.wrapping_shl(b as u32) }
+      fn shr(a: $ty, b: $ty) -> $ty { a.wrapping_shr(b as u32) }
+    }
+    )*
+  }
+}
+
+impl_num! { u8, u16, u32, u64, i8, i16, i32 }
 
 bi_enum! {
-  #[repr(u16)]
-  /// A native operation on 60-bit integers.
+  #[repr(u8)]
+  /// Native operations on variable-width integers.
   ///
   /// Each operation has a swapped counterpart (accessible with `.swap()`),
   /// where the order of the operands is swapped.
   ///
   /// Operations without an already-named counterpart (e.g. `Add <-> Add` and
   /// `Lt <-> Gt`) are suffixed with `$`/`S`: `(-$ 1 2) = (- 2 1) = 1`.
-  #[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash)]
-  pub enum Op {
+  #[derive(Clone, Copy, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
+  pub enum IntOp {
     "+":   Add  = 0,
     "-":   Sub  = 1,
     "-$":  SubS = 2,
     "*":   Mul  = 3,
     "/":   Div  = 4,
     "/$":  DivS = 5,
-    "%":   Mod  = 6,
-    "%$":  ModS = 7,
+    "%":   Rem  = 6,
+    "%$":  RemS = 7,
     "==":  Eq   = 8,
     "!=":  Ne   = 9,
     "<":   Lt   = 10,
     ">":   Gt   = 11,
-    "<=":  Lte  = 12,
-    ">=":  Gte  = 13,
+    "<=":  Le   = 12,
+    ">=":  Ge   = 13,
     "&":   And  = 14,
     "|":   Or   = 15,
     "^":   Xor  = 16,
@@ -35,63 +84,136 @@ bi_enum! {
   }
 }
 
-use Op::*;
-
-impl Op {
+impl IntOp {
   /// Returns this operation's swapped counterpart.
   ///
   /// For all `op, a, b`, `op.swap().op(a, b) == op.op(b, a)`.
   #[inline]
-  pub fn swap(self) -> Self {
+  fn swap(self) -> Self {
     match self {
-      Add => Add,
-      Sub => SubS,
-      SubS => Sub,
-      Mul => Mul,
-      Div => DivS,
-      DivS => Div,
-      Mod => ModS,
-      ModS => Mod,
-      Eq => Eq,
-      Ne => Ne,
-      Lt => Gt,
-      Gt => Lt,
-      Lte => Gte,
-      Gte => Lte,
-      And => And,
-      Or => Or,
-      Xor => Xor,
-      Shl => ShlS,
-      ShlS => Shl,
-      Shr => ShrS,
-      ShrS => Shr,
+      Self::Add => Self::Add,
+      Self::Sub => Self::SubS,
+      Self::SubS => Self::Sub,
+      Self::Mul => Self::Mul,
+      Self::Div => Self::DivS,
+      Self::DivS => Self::Div,
+      Self::Rem => Self::RemS,
+      Self::RemS => Self::Rem,
+      Self::Eq => Self::Eq,
+      Self::Ne => Self::Ne,
+      Self::Lt => Self::Gt,
+      Self::Gt => Self::Lt,
+      Self::Le => Self::Ge,
+      Self::Ge => Self::Le,
+      Self::And => Self::And,
+      Self::Or => Self::Or,
+      Self::Xor => Self::Xor,
+      Self::Shl => Self::ShlS,
+      Self::ShlS => Self::Shl,
+      Self::Shr => Self::ShrS,
+      Self::ShrS => Self::Shr,
     }
   }
-  #[inline]
-  pub fn op(self, a: u64, b: u64) -> u64 {
-    const U60: u64 = 0xFFF_FFFF_FFFF_FFFF;
+
+  fn op<T: Num>(self, a: T, b: T) -> T {
     match self {
-      Add => a.wrapping_add(b) & U60,
-      Sub => a.wrapping_sub(b) & U60,
-      SubS => b.wrapping_sub(a) & U60,
-      Mul => a.wrapping_mul(b) & U60,
-      Div => a.checked_div(b).unwrap_or(0),
-      DivS => b.checked_div(a).unwrap_or(0),
-      Mod => a.checked_rem(b).unwrap_or(0),
-      ModS => b.checked_rem(a).unwrap_or(0),
-      Eq => (a == b) as u64,
-      Ne => (a != b) as u64,
-      Lt => (a < b) as u64,
-      Gt => (a > b) as u64,
-      Lte => (a <= b) as u64,
-      Gte => (a >= b) as u64,
-      And => a & b,
-      Or => a | b,
-      Xor => a ^ b,
-      Shl => (a << b) & U60,
-      ShlS => (b << a) & U60,
-      Shr => a >> b,
-      ShrS => b >> a,
+      Self::Add => T::add(a, b),
+      Self::Sub => T::sub(a, b),
+      Self::SubS => T::sub(b, a),
+      Self::Mul => T::mul(a, b),
+      Self::Div => T::div(a, b),
+      Self::DivS => T::div(b, a),
+      Self::Rem => T::rem(a, b),
+      Self::RemS => T::rem(b, a),
+      Self::Eq => T::from_bool(a == b),
+      Self::Ne => T::from_bool(a != b),
+      Self::Lt => T::from_bool(a < b),
+      Self::Le => T::from_bool(a <= b),
+      Self::Gt => T::from_bool(a > b),
+      Self::Ge => T::from_bool(a >= b),
+      Self::And => T::and(a, b),
+      Self::Or => T::or(a, b),
+      Self::Xor => T::xor(a, b),
+      Self::Shl => T::shl(a, b),
+      Self::ShlS => T::shl(b, a),
+      Self::Shr => T::shr(a, b),
+      Self::ShrS => T::shr(b, a),
+    }
+  }
+}
+
+bi_enum! {
+  #[repr(u8)]
+  #[derive(Clone, Copy, Debug, PartialEq, Eq, PartialOrd, Ord, Hash)]
+  pub enum Ty {
+    "u8":  U8  = 0,
+    "u16": U16 = 1,
+    "u32": U32 = 2,
+    "u60": U60 = 3,
+    "i8":  I8  = 4,
+    "i16": I16 = 5,
+    "i32": I32 = 6,
+  }
+}
+
+#[repr(C)]
+#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash)]
+pub struct Op {
+  pub ty: Ty,
+  pub op: IntOp,
+}
+
+impl From<u16> for Op {
+  fn from(value: u16) -> Self {
+    unsafe { std::mem::transmute(value) }
+  }
+}
+
+impl From<Op> for u16 {
+  fn from(op: Op) -> Self {
+    unsafe { std::mem::transmute(op) }
+  }
+}
+
+impl Display for Op {
+  fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
+    match self.ty {
+      Ty::U60 => write!(f, "{}", self.op),
+      _ => write!(f, "{}.{}", self.ty, self.op),
+    }
+  }
+}
+
+impl FromStr for Op {
+  type Err = ();
+
+  fn from_str(s: &str) -> Result<Self, Self::Err> {
+    match s.split('.').collect::<Vec<_>>().as_slice() {
+      [ty, op] => Ok(Self { ty: Ty::from_str(ty)?, op: IntOp::from_str(op)? }),
+      [op] => Ok(Self { ty: Ty::U60, op: IntOp::from_str(op)? }),
+
+      _ => Err(()),
+    }
+  }
+}
+
+impl Op {
+  pub fn swap(self) -> Self {
+    Self { op: self.op.swap(), ty: self.ty }
+  }
+
+  #[inline]
+  pub fn op(self, a: i64, b: i64) -> i64 {
+    const U60: i64 = 0xFFF_FFFF_FFFF_FFFF;
+
+    match self.ty {
+      Ty::U8 => self.op.op(a as u8, b as u8) as i64,
+      Ty::U16 => self.op.op(a as u16, b as u16) as i64,
+      Ty::U32 => self.op.op(a as u32, b as u32) as i64,
+      Ty::U60 => self.op.op(a as u64, b as u64) as i64 & U60,
+      Ty::I8 => self.op.op(a as i8, b as i8) as i64,
+      Ty::I16 => self.op.op(a as i16, b as i16) as i64,
+      Ty::I32 => self.op.op(a as i32, b as i32) as i64,
     }
   }
 }

src/run/instruction.rs

@@ -58,7 +58,7 @@ pub enum Instruction {
   /// ```rust,ignore
   /// let out = net.do_op_num(lab, trg, rhs);
   /// ```
-  OpNum { op: Op, trg: TrgId, rhs: u64, out: TrgId },
+  OpNum { op: Op, trg: TrgId, rhs: i64, out: TrgId },
   /// See [`Net::do_mat`].
   /// ```rust,ignore
   /// let (lft, rgt) = net.do_mat(trg);
@@ -137,22 +137,22 @@ impl<'a, M: Mode> Net<'a, M> {
     let port = trg.target();
     if !M::LAZY && port.tag() == Num {
       self.free_trg(trg);
-      let n = self.create_node(Op, op.swap() as Lab);
+      let n = self.create_node(Op, op.swap().into());
       n.p1.wire().set_target(Port::new_num(port.num()));
       (Trg::port(n.p0), Trg::port(n.p2))
     } else if !M::LAZY && port == Port::ERA {
       self.free_trg(trg);
       (Trg::port(Port::ERA), Trg::port(Port::ERA))
     } else {
-      let n = self.create_node(Op, op as Lab);
+      let n = self.create_node(Op, op.into());
       self.link_trg_port(trg, n.p0);
       (Trg::port(n.p1), Trg::port(n.p2))
     }
   }
 
   /// `trg ~ <op #b x>`
   #[inline(always)]
-  pub(crate) fn do_op_num(&mut self, op: Op, trg: Trg, rhs: u64) -> Trg {
+  pub(crate) fn do_op_num(&mut self, op: Op, trg: Trg, rhs: i64) -> Trg {
     let port = trg.target();
     if !M::LAZY && port.tag() == Num {
       self.rwts.oper += 1;
@@ -162,7 +162,7 @@ impl<'a, M: Mode> Net<'a, M> {
       self.free_trg(trg);
       Trg::port(Port::ERA)
     } else {
-      let n = self.create_node(Op, op as Lab);
+      let n = self.create_node(Op, op.into());
       self.link_trg_port(trg, n.p0);
       n.p1.wire().set_target(Port::new_num(rhs));
       Trg::port(n.p2)