ariesdevil commented on code in PR #181:
URL: https://github.com/apache/datasketches-rust/pull/181#discussion_r3718262461


##########
datasketches/src/thetafamily/common/jaccard_similarity.rs:
##########
@@ -299,6 +269,71 @@ impl JaccardSimilarityOperator {
             union.theta64(),
         )
     }
+
+    pub(crate) fn exactly_equal<A, B>(&self, sketch_a: &A, sketch_b: &B) -> 
Result<bool, Error>
+    where
+        A: ThetaKeySketchView,
+        B: ThetaKeySketchView,
+    {
+        if sketch_a.is_empty() && sketch_b.is_empty() {
+            return Ok(true);
+        }
+        if sketch_a.is_empty() || sketch_b.is_empty() {
+            return Ok(false);
+        }
+
+        let union = self.compute_union(sketch_a, sketch_b)?;
+        Ok(identical_sets(sketch_a, sketch_b, &union))
+    }
+
+    fn compute_union<A, B>(
+        &self,
+        sketch_a: &A,
+        sketch_b: &B,
+    ) -> Result<CompactSketchParts<KeyEntry>, Error>
+    where
+        A: ThetaKeySketchView,
+        B: ThetaKeySketchView,
+    {
+        self.validate_seed_hash(sketch_a)?;
+        self.validate_seed_hash(sketch_b)?;
+
+        let sketch_a = KeySketchView::new(sketch_a);
+        let sketch_b = KeySketchView::new(sketch_b);
+        let mut union = UnionState::new(
+            union_lg_k(sketch_a.num_retained(), sketch_b.num_retained()),
+            ResizeFactor::X8,
+            1.0,
+            self.seed,
+            NoopMergePolicy,
+        );
+        union.update(&sketch_a)?;
+        union.update(&sketch_b)?;
+        Ok(union.to_compact_parts(false))
+    }
+
+    fn validate_seed_hash<S: ThetaKeySketchView>(&self, sketch: &S) -> 
Result<(), Error> {
+        let expected = compute_seed_hash(self.seed);
+        if expected != sketch.seed_hash() {
+            return Err(Error::invalid_argument(format!(
+                "incompatible seed hash: expected {}, got {}",
+                expected,
+                sketch.seed_hash(),
+            )));
+        }
+        Ok(())
+    }
+}
+
+fn identical_sets<A, B>(sketch_a: &A, sketch_b: &B, union: 
&CompactSketchParts<KeyEntry>) -> bool

Review Comment:
   This function name is a little bit confuse, add some docs or renaming to 
`same_retained_keys_and_theta` seems better.



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