emkornfield commented on code in PR #9628:
URL: https://github.com/apache/arrow-rs/pull/9628#discussion_r3024559937


##########
parquet/src/bloom_filter/mod.rs:
##########
@@ -431,6 +485,150 @@ impl Sbbf {
         self.0.capacity() * std::mem::size_of::<Block>()
     }
 
+    /// Returns the number of blocks in this bloom filter.
+    pub fn num_blocks(&self) -> usize {
+        self.0.len()
+    }
+
+    /// Fold the bloom filter once, halving its size by merging adjacent block 
pairs.
+    ///
+    /// This implements an elementary folding operation for Split Block Bloom
+    /// Filters. Each pair of adjacent blocks is combined via bitwise OR:
+    ///
+    /// ```text
+    /// folded[i] = blocks[2*i] | blocks[2*i + 1]    for 0 <= i < num_blocks/2
+    /// ```
+    ///
+    /// ## Why adjacent pairs (not halves)?
+    ///
+    /// SBBFs use **multiplicative** hashing for block selection:
+    ///
+    /// ```text
+    /// block_index = ((hash >> 32) * num_blocks) >> 32
+    /// ```
+    ///
+    /// When `num_blocks` is halved, the new index becomes 
`floor(original_index / 2)`.
+    /// Therefore blocks `2i` and `2i+1` map to the same position `i` in the 
folded filter.
+    ///
+    /// This differs from standard Bloom filter folding, which merges the two 
halves
+    /// (`B[i] | B[i + m/2]`) because standard filters use modular hashing 
where
+    /// `h(x) mod (m/2)` maps indices `i` and `i + m/2` to the same position.
+    ///
+    /// ## References
+    ///
+    /// 1. Sailhan, F. & Stehr, M-O. "Folding and Unfolding Bloom Filters",
+    ///    IEEE iThings 2012. <https://doi.org/10.1109/GreenCom.2012.16>
+    ///
+    /// # Panics
+    ///
+    /// Panics if the filter has fewer than 2 blocks.
+    fn fold_once(&mut self) {
+        let len = self.0.len();
+        assert!(
+            len >= 2,
+            "Cannot fold a bloom filter with fewer than 2 blocks"
+        );
+        assert!(
+            len % 2 == 0,
+            "Cannot fold a bloom filter with an odd number of blocks"
+        );
+        let half = len / 2;
+        for i in 0..half {
+            // Copy both blocks to stack locals before writing. This eliminates
+            // aliasing between self.0[i] and self.0[2*i], allowing the 
compiler
+            // to vectorize the OR into SIMD instructions.
+            let merged = self.0[2 * i] | self.0[2 * i + 1];
+            self.0[i] = merged;
+        }
+        self.0.truncate(half);
+    }
+
+    /// Estimate the FPP that would result from folding once, without mutating 
the filter.
+    ///
+    /// SBBF membership checks are per-block (`k=8` bit checks within one 
256-bit block),
+    /// so FPP is the average per-block false positive probability:
+    ///
+    /// ```text
+    /// FPP = (1 / num_blocks) * sum_i (set_bits_in_block_i / 256)^8
+    /// ```
+    ///
+    /// Separating the OR from the popcount lets the compiler emit vectorized 
popcount
+    /// instructions (e.g., `cnt.16b` on ARM NEON) instead of per-word scalar 
popcount.
+    fn estimated_fpp_after_fold(&self) -> f64 {
+        let half = self.0.len() as f64 / 2.0;
+        let mut total_fpp: f64 = 0.0;
+        for pair in self.0.chunks_exact(2) {

Review Comment:
   nit: either have a remainder block here, or assert len() is evenly divisible 
by 2?



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