Micro-optimize pg_lfind32().

This commit improves the performance of pg_lfind32() in many cases
by modifying it to process the remaining "tail" of elements with
SIMD instructions instead of processing them one-by-one.  Since the
SIMD code processes a large block of elements, this means that we
will process a subset of elements more than once, but that won't
affect the correctness of the result, and testing has shown that
this helps more cases than it regresses.  With this change, the
standard one-by-one linear search code is only used for small
arrays and for platforms without SIMD support.

Suggested-by: John Naylor
Reviewed-by: John Naylor
Discussion: https://postgr.es/m/20231129171526.GA857928%40nathanxps13

src/include/port/pg_lfind.h

@@ -80,6 +80,51 @@ pg_lfind8_le(uint8 key, uint8 *base, uint32 nelem)
 	return false;
 }
 
+#ifndef USE_NO_SIMD
+/*
+ * pg_lfind32_simd_helper
+ *
+ * Searches one 4-register-block of integers.  The caller is responsible for
+ * ensuring that there are at least 4-registers-worth of integers remaining.
+ */
+static inline bool
+pg_lfind32_simd_helper(const Vector32 keys, uint32 *base)
+{
+	const uint32 nelem_per_vector = sizeof(Vector32) / sizeof(uint32);
+	Vector32	vals1,
+				vals2,
+				vals3,
+				vals4,
+				result1,
+				result2,
+				result3,
+				result4,
+				tmp1,
+				tmp2,
+				result;
+
+	/* load the next block into 4 registers */
+	vector32_load(&vals1, base);
+	vector32_load(&vals2, &base[nelem_per_vector]);
+	vector32_load(&vals3, &base[nelem_per_vector * 2]);
+	vector32_load(&vals4, &base[nelem_per_vector * 3]);
+
+	/* compare each value to the key */
+	result1 = vector32_eq(keys, vals1);
+	result2 = vector32_eq(keys, vals2);
+	result3 = vector32_eq(keys, vals3);
+	result4 = vector32_eq(keys, vals4);
+
+	/* combine the results into a single variable */
+	tmp1 = vector32_or(result1, result2);
+	tmp2 = vector32_or(result3, result4);
+	result = vector32_or(tmp1, tmp2);
+
+	/* return whether there was a match */
+	return vector32_is_highbit_set(result);
+}
+#endif							/* ! USE_NO_SIMD */
+
 /*
  * pg_lfind32
  *
@@ -95,8 +140,7 @@ pg_lfind32(uint32 key, uint32 *base, uint32 nelem)
 
 	/*
 	 * For better instruction-level parallelism, each loop iteration operates
-	 * on a block of four registers.  Testing for SSE2 has showed this is ~40%
-	 * faster than using a block of two registers.
+	 * on a block of four registers.
 	 */
 	const Vector32 keys = vector32_broadcast(key);	/* load copies of key */
 	const uint32 nelem_per_vector = sizeof(Vector32) / sizeof(uint32);
@@ -109,9 +153,9 @@ pg_lfind32(uint32 key, uint32 *base, uint32 nelem)
 	bool		assert_result = false;
 
 	/* pre-compute the result for assert checking */
-	for (i = 0; i < nelem; i++)
+	for (int j = 0; j < nelem; j++)
 	{
-		if (key == base[i])
+		if (key == base[j])
 		{
 			assert_result = true;
 			break;
@@ -119,47 +163,41 @@ pg_lfind32(uint32 key, uint32 *base, uint32 nelem)
 	}
 #endif
 
-	for (i = 0; i < tail_idx; i += nelem_per_iteration)
+	/*
+	 * If there aren't enough elements for the SIMD code, jump to the standard
+	 * one-by-one linear search code.
+	 */
+	if (nelem < nelem_per_iteration)
+		goto one_by_one;
+
+	/*
+	 * Process as many elements as possible with a block of 4 registers.
+	 */
+	do
 	{
-		Vector32	vals1,
-					vals2,
-					vals3,
-					vals4,
-					result1,
-					result2,
-					result3,
-					result4,
-					tmp1,
-					tmp2,
-					result;
-
-		/* load the next block into 4 registers */
-		vector32_load(&vals1, &base[i]);
-		vector32_load(&vals2, &base[i + nelem_per_vector]);
-		vector32_load(&vals3, &base[i + nelem_per_vector * 2]);
-		vector32_load(&vals4, &base[i + nelem_per_vector * 3]);
-
-		/* compare each value to the key */
-		result1 = vector32_eq(keys, vals1);
-		result2 = vector32_eq(keys, vals2);
-		result3 = vector32_eq(keys, vals3);
-		result4 = vector32_eq(keys, vals4);
-
-		/* combine the results into a single variable */
-		tmp1 = vector32_or(result1, result2);
-		tmp2 = vector32_or(result3, result4);
-		result = vector32_or(tmp1, tmp2);
-
-		/* see if there was a match */
-		if (vector32_is_highbit_set(result))
+		if (pg_lfind32_simd_helper(keys, &base[i]))
 		{
 			Assert(assert_result == true);
 			return true;
 		}
-	}
+
+		i += nelem_per_iteration;
+
+	} while (i < tail_idx);
+
+	/*
+	 * Process the last 'nelem_per_iteration' elements in the array with a
+	 * 4-register block.  This will cause us to check a subset of the elements
+	 * more than once, but that won't affect correctness, and testing has
+	 * demonstrated that this helps more cases than it harms.
+	 */
+	Assert(assert_result == pg_lfind32_simd_helper(keys, &base[nelem - nelem_per_iteration]));
+	return pg_lfind32_simd_helper(keys, &base[nelem - nelem_per_iteration]);
+
 #endif							/* ! USE_NO_SIMD */
 
-	/* Process the remaining elements one at a time. */
+one_by_one:
+	/* Process the elements one at a time. */
 	for (; i < nelem; i++)
 	{
 		if (key == base[i])