feat(BNNBot): add similarity and overlap metrics to output

Output format: <tick> <44 bits> <hamming> <similarity> <overlap>
- Similarity: bits that are the same (TOTAL_BITS - hamming)
- Overlap: bits that are 1 in both vectors (popcount of bitwise AND)
- First tick: all metrics printed as 0

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

BNNBot_garage/src/BNNBot.nim

@@ -43,8 +43,10 @@ method onScannedBot*(bot: BNNBot, e: ScannedBotEvent) =
     heading:  bot.heading,
   )
   let vec = encode(scan)
-  let distance = if bot.hasPrev: hammingDistance(bot.prevVec, vec) else: 0
+  let hamming = if bot.hasPrev: hammingDistance(bot.prevVec, vec) else: 0
-  echo align($bot.tick, 4), " ", formatBinary(vec), " ", distance
+  let similarity = if bot.hasPrev: TOTAL_BITS - hamming else: 0
+  let overlap = if bot.hasPrev: popcount(bitwiseAnd(bot.prevVec, vec)) else: 0
+  echo align($bot.tick, 4), " ", formatBinary(vec), " ", hamming, " ", similarity, " ", overlap
   bot.prevVec = vec
   bot.hasPrev = true
 

BNNBot_garage/src/binary_encoding.nim

@@ -71,3 +71,7 @@ proc popcount*(vec: BinaryVector): int =
 proc hammingDistance*(a, b: BinaryVector): int =
   for i in 0..<TOTAL_BITS:
     result += int(a[i] xor b[i])
+
+proc bitwiseAnd*(a, b: BinaryVector): BinaryVector =
+  for i in 0..<TOTAL_BITS:
+    result[i] = a[i] and b[i]