[PATCH 01/11] RAS/CEC: Fix binary search function

[Borislav Petkov <bp@alien8.de>]

From: Borislav Petkov <bp@suse.de>

Switch to using Donald Knuth's binary search algorithm (The Art of
Computer Programming, vol. 3, section 6.2.1). This should've been done
from the very beginning but the author must've been smoking something
very potent at the time.

The problem with the current one was that it would return the wrong
element index in certain situations:

  https://lkml.kernel.org/r/CAM_iQpVd02zkVJ846cj-Fg1yUNuz6tY5q1Vpj4LrXmE06dPYYg@mail.gmail.com

and the noodling code after the loop was fishy at best.

So switch to using Knuth's binary search. The final result is much
cleaner and straightforward.

Fixes: 011d82611172 ("RAS: Add a Corrected Errors Collector")
Reported-by: Cong Wang <xiyou.wangcong@gmail.com>
Signed-off-by: Borislav Petkov <bp@suse.de>
Cc: Tony Luck <tony.luck@intel.com>
Cc: linux-edac <linux-edac@vger.kernel.org>
Cc: <stable@vger.kernel.org>
---
 drivers/ras/cec.c | 34 ++++++++++++++++++++--------------
 1 file changed, 20 insertions(+), 14 deletions(-)

diff --git a/drivers/ras/cec.c b/drivers/ras/cec.c
index 88e4f3ff0cb8..dbfe3e61d2c2 100644
--- a/drivers/ras/cec.c
+++ b/drivers/ras/cec.c
@@ -183,32 +183,38 @@ static void cec_timer_fn(struct timer_list *unused)
  */
 static int __find_elem(struct ce_array *ca, u64 pfn, unsigned int *to)
 {
+	int min = 0, max = ca->n - 1;
 	u64 this_pfn;
-	int min = 0, max = ca->n;
 
-	while (min < max) {
-		int tmp = (max + min) >> 1;
+	while (min <= max) {
+		int i = (min + max) >> 1;
 
-		this_pfn = PFN(ca->array[tmp]);
+		this_pfn = PFN(ca->array[i]);
 
 		if (this_pfn < pfn)
-			min = tmp + 1;
+			min = i + 1;
 		else if (this_pfn > pfn)
-			max = tmp;
-		else {
-			min = tmp;
-			break;
+			max = i - 1;
+		else if (this_pfn == pfn) {
+			if (to)
+				*to = i;
+
+			return i;
 		}
 	}
 
+	/*
+	 * When the loop terminates without finding @pfn, min has the index of
+	 * the element slot where the new @pfn should be inserted. The loop
+	 * terminates when min > max, which means the min index points to the
+	 * bigger element while the max index to the smaller element, in-between
+	 * which the new @pfn belongs to.
+	 *
+	 * For more details, see exercise 1, Section 6.2.1 in TAOCP, vol. 3.
+	 */
 	if (to)
 		*to = min;
 
-	this_pfn = PFN(ca->array[min]);
-
-	if (this_pfn == pfn)
-		return min;
-
 	return -ENOKEY;
 }
 
-- 
2.21.0