has error

bi-kzg/src/bi_kzg.rs

@@ -144,15 +144,34 @@ where
         point: &Self::Point,
     ) -> (Self::Proof, Self::Evaluation) {
         // fixme
-        let eval = polynomial.evaluate(&point.0, &point.1);
-        let q_0 = polynomial.evaluate(&prover_param.borrow().tau_0, &point.1);
-        let q_1 = polynomial.evaluate(&point.0, &prover_param.borrow().tau_1);
+        let tau_0 = prover_param.borrow().tau_0;
+        let tau_1 = prover_param.borrow().tau_1;
+        let a = point.0;
+        let b = point.1;
+
+        let u = polynomial.evaluate(&a, &b);
+        let u_prime = polynomial.evaluate(&tau_0, &b);
+
+        let f_tau0_b = polynomial.evaluate(&tau_0, &b);
+        let f_a_tau1 = polynomial.evaluate(&a, &tau_1);
+
+        let q_0 = (f_tau0_b - u) * ((tau_0 - a).invert().unwrap());
+        let q_1 = (f_a_tau1 - u_prime) * ((tau_1 - b).invert().unwrap());
+
         let proof = BiKZGProof {
             pi0: (prover_param.borrow().powers_of_g[0] * q_0).into(),
             pi1: (prover_param.borrow().powers_of_g[0] * q_1).into(),
         };
 
-        (proof, eval)
+        let c = polynomial.evaluate(&tau_0, &tau_1);
+
+        let t0 = q_0 * (tau_0 - a);
+        let t1 = q_1 * (tau_1 - b);
+        let right = c - u;
+
+        assert_eq!(t0 + t1, right, "t0 + t1 != right");
+
+        (proof, u)
     }
 
     fn verify(

bi-kzg/src/poly.rs

@@ -14,7 +14,7 @@ impl<F: Field> BivaraitePolynomial<F> {
             degree_1,
         }
     }
-    
+
     pub fn random(mut rng: impl RngCore, degree_0: usize, degree_1: usize) -> Self {
         let coefficients = (0..degree_0 * degree_1)
             .map(|_| F::random(&mut rng))
@@ -37,8 +37,6 @@ impl<F: Field> BivaraitePolynomial<F> {
                     * y_i
             })
     }
-
-
 }
 
 #[cfg(test)]