add quotient circuit structure and improve fmt for polynomials

src/circuit/quotient.rs

@@ -1 +1,28 @@
+use crate::poly::{flat::Poly,var::Var};
+use super::dag::Circuit;
+
+use itertools::Itertools;
+
+use std::fmt::{self,Display};
+
+#[derive(Clone, Debug)]
+pub struct Quotient<V:Var>{
+    basis: Vec<Poly<V>>,
+    circuit: Circuit<V>,
+}
+
+impl<V: Var> FromIterator<Poly<V>> for Quotient<V> {
+    fn from_iter<T: IntoIterator<Item = Poly<V>>>(iter: T) -> Self {
+        Quotient {
+            basis:iter.into_iter().collect(),
+            circuit:Default::default()
+        }
+    }
+}
+
+impl<V:Var> Display for Quotient<V>{
+    fn fmt(&self, fmt: &mut fmt::Formatter<'_>) -> Result<(),fmt::Error>{
+        write!(fmt, "C/<{}>", self.basis.iter().map(|p| format!("{p}")).join(","))
+    }
+}