update claude settings and wip DAG with SlotMap

examples/dag.rs

@@ -0,0 +1,26 @@
+use std::cell::RefCell;
+use std::rc::Rc;
+
+use circuit_cas::circuit::dag::{Circuit, CircuitExt};
+use circuit_cas::var;
+
+fn main() {
+    let circuit = Rc::new(RefCell::new(Circuit::new()));
+
+    // Build (x + y) * (x + z)
+    let x = circuit.leaf(var!("x"));
+    let y = circuit.leaf(var!("y"));
+    let z = circuit.leaf(var!("z"));
+
+    let x_plus_y = circuit.leaf(var!("x")) + y;
+    let x_plus_z = circuit.leaf(var!("x")) + z;
+    let expr = x_plus_y * x_plus_z;
+
+    // Deduplication: both x leaves share the same NodeId
+    let x2 = circuit.leaf(var!("x"));
+    assert_eq!(x.id, x2.id);
+
+    println!("(x + y) * (x + z) root node id: {:?}", expr.id);
+    println!("x node id: {:?}", x.id);
+    println!("x deduplicated node id: {:?}", x2.id);
+}

examples/flat.rs

@@ -0,0 +1,28 @@
+use circuit_cas::poly::flat;
+use circuit_cas::var;
+
+fn main() {
+    let poly = (2
+        * ((var!("x", 1, 5) ^ 5) * (var!("x", 1, 2) ^ 5) * (var!("x", 2, 5) ^ 1)))
+        + (3 * ((var!("x", 1, 9) ^ 5) * (var!("x", 1, 2) ^ 5) * (var!("x", 2, 5) ^ 1)));
+
+    let x = var!("x");
+    let y = var!("x\u{0304}");
+    let z = var!("z");
+    let other = -3 * ((&x ^ 2) * (&y ^ 4));
+
+    let mono = (&x^2)*(&y^4);
+
+    let inside = (&x^2)*(&y^2)*(&z^1);
+
+    if mono.contains(&inside){
+        println!("{inside}\u{2286}{mono}");
+    }else{
+        println!("{inside}\u{2284}{mono}");
+    }
+
+    println!("{poly}");
+
+    let z = poly - other;
+    println!("{z}");
+}