improve var creation for SumProdCircuit

examples/dag.rs

@@ -6,10 +6,10 @@ use circuit_cas::circuit::dag::CircuitExt;
 fn main() {
     let circuit: Rc<RefCell<ProbCircuit>> = ProbCircuit::new();
 
-    // Build (x + y) * (x + z)
+    // vars accept anything that implements Into<StaticVar>: &'static str, (&str, u32), (&str, u32, u32)
     let x   = circuit.var("x");
-    let y = circuit.var("y");
-    let z = circuit.var("z");
+    let y   = circuit.var(("y", 1));       // indexed variable y_1
+    let z   = circuit.var(("z", 0, 1));    // doubly-indexed variable z_{0,1}
 
     let x_plus_y = circuit.var("x") + y;
     let x_plus_z = circuit.var("x") + z;
@@ -19,7 +19,7 @@ fn main() {
     let x2 = circuit.var("x");
     assert_eq!(x.id, x2.id);
 
-    println!("(x + y) * (x + z) root node id: {:?}", expr.id);
+    println!("(x + y_1) * (x + z_{{0,1}}) root node id: {:?}", expr.id);
     println!("x node id: {:?}", x.id);
     println!("x deduplicated node id: {:?}", x2.id);
 }

examples/quotient.rs

@@ -3,21 +3,23 @@ use std::rc::Rc;
 use circuit_cas::circuit::dag::CircuitExt;
 use circuit_cas::circuit::quotient::QuotientCircuit;
 use circuit_cas::circuit::traits::Circuit;
+use circuit_cas::poly::ideal::{Generators, Ideal};
 use circuit_cas::var;
 
 fn main() {
     let x = var!("x");
     let nx = var!("x\u{0304}");
 
-    let idem = vec![
+    let idem: Ideal<_, Generators> = vec![
         1 * (&x ^ 2) - 1 * (&x ^ 1),
         1 * (&nx ^ 2) - 1 * (&nx ^ 1),
         1 * ((&x ^ 1) * (&nx ^ 1)) - 1 * (&x ^ 1),
-    ];
+    ].into();
 
-    let quotient: Rc<RefCell<QuotientCircuit>> = idem.into_iter().collect();
+    let quotient: Rc<RefCell<QuotientCircuit>> = idem.into();
 
     // Build x * x̄ + x in the DAG
+    // var accepts anything that implements Into<StaticVar>: &'static str, (&str, u32), (&str, u32, u32)
     let xn   = quotient.var("x");
     let nxn  = quotient.var("x\u{0304}");
     let prod = xn * nxn;

src/circuit/dag.rs

@@ -60,5 +60,5 @@ pub struct RefNode<C: Circuit> {
 pub trait CircuitExt {
     type C: Circuit;
     type Var;
-    fn var(&self, v: impl Into<Self::Var>) -> RefNode<Self::C>;
+    fn var<T: Into<Self::Var>>(&self, v: T) -> RefNode<Self::C>;
 }

src/circuit/probabilistic.rs

@@ -43,7 +43,7 @@ impl<V: Var> ProbCircuit<V> {
 impl<V: Var> SumProdCircuit for ProbCircuit<V> {
     type Var = V;
 
-    fn var(&mut self, v: V) -> NodeId { self.node(PNode::Var(v)) }
+    fn var<T: Into<V>>(&mut self, v: T) -> NodeId { self.node(PNode::Var(v.into())) }
 
     fn add(&mut self, l: NodeId, r: NodeId) -> NodeId {
         let (l, r) = if l <= r { (l, r) } else { (r, l) };

src/circuit/quotient.rs

@@ -3,7 +3,6 @@ use std::ops::{Deref, DerefMut};
 use std::rc::Rc;
 
 use crate::poly::var::{StaticVar, Var};
-use crate::poly::flat::Poly;
 use crate::poly::ideal::{Generators, GroebnerBasis, Ideal};
 use super::dag::{Dag, NodeId};
 use super::traits::{Node, SumProdCircuit};
@@ -34,26 +33,15 @@ pub struct QuotientCircuit<V: Var = StaticVar> {
     dag: Dag<QNode<V>>,
 }
 
-impl<V: Var> QuotientCircuit<V> {
-    pub fn from_ideal(basis: Ideal<V, GroebnerBasis>) -> Rc<RefCell<Self>> {
-        Rc::new(RefCell::new(Self { basis, dag: Default::default() }))
-    }
-
-    pub fn from_polys(iter: impl IntoIterator<Item = Poly<V>>) -> Rc<RefCell<Self>> {
-        let ideal: Ideal<V, Generators> = iter.into_iter().collect();
-        Rc::new(RefCell::new(Self { basis: ideal.groebner_basis(), dag: Default::default() }))
+impl<V: Var> From<Ideal<V, Generators>> for Rc<RefCell<QuotientCircuit<V>>> {
+    fn from(ideal: Ideal<V, Generators>) -> Self {
+        ideal.groebner_basis().into()
     }
 }
 
 impl<V: Var> From<Ideal<V, GroebnerBasis>> for Rc<RefCell<QuotientCircuit<V>>> {
     fn from(basis: Ideal<V, GroebnerBasis>) -> Self {
-        QuotientCircuit::from_ideal(basis)
-    }
-}
-
-impl<V: Var> FromIterator<Poly<V>> for Rc<RefCell<QuotientCircuit<V>>> {
-    fn from_iter<T: IntoIterator<Item = Poly<V>>>(iter: T) -> Self {
-        QuotientCircuit::from_polys(iter)
+        Rc::new(RefCell::new(QuotientCircuit { basis, dag: Default::default() }))
     }
 }
 
@@ -69,7 +57,7 @@ impl<V: Var> DerefMut for QuotientCircuit<V> {
 impl<V: Var> SumProdCircuit for QuotientCircuit<V> {
     type Var = V;
 
-    fn var(&mut self, v: V) -> NodeId { self.node(QNode::Var(v)) }
+    fn var<T: Into<V>>(&mut self, v: T) -> NodeId { self.node(QNode::Var(v.into())) }
 
     fn add(&mut self, l: NodeId, r: NodeId) -> NodeId {
         let (l, r) = if l <= r { (l, r) } else { (r, l) };

src/circuit/traits.rs

@@ -29,7 +29,7 @@ where
 
 pub trait SumProdCircuit: Circuit {
     type Var;
-    fn var(&mut self, v: Self::Var) -> NodeId;
+    fn var<T: Into<Self::Var>>(&mut self, v: T) -> NodeId;
     fn add(&mut self, l: NodeId, r: NodeId) -> NodeId;
     fn mul(&mut self, l: NodeId, r: NodeId) -> NodeId;
 }
@@ -56,8 +56,8 @@ impl<C: SumProdCircuit> CircuitExt for Rc<RefCell<C>> {
     type C = C;
     type Var = C::Var;
 
-    fn var(&self, v: impl Into<C::Var>) -> RefNode<C> {
-        let id = self.borrow_mut().var(v.into());
+    fn var<T: Into<C::Var>>(&self, v: T) -> RefNode<C> {
+        let id = self.borrow_mut().var(v);
         RefNode { id, circuit: self.clone() }
     }
 }