From 1f2ad7a490f3e2b39358cf7416e9c7a8580dd0bd Mon Sep 17 00:00:00 2001
From: Matthias Geier <Matthias.Geier@gmail.com>
Date: Sun, 5 Jul 2026 16:34:11 +0200
Subject: [PATCH 1/2] Simplify CalculateFrameShift()

---
 src/common/pa_process.c | 22 +++-------------------
 1 file changed, 3 insertions(+), 19 deletions(-)

diff --git a/src/common/pa_process.c b/src/common/pa_process.c
index 29fca64fa..c162ce7f5 100644
--- a/src/common/pa_process.c
+++ b/src/common/pa_process.c
@@ -56,34 +56,18 @@
 #define PA_MIN_( a, b ) ( ((a)<(b)) ? (a) : (b) )
 
 
-/* greatest common divisor - PGCD in French */
+/* greatest common divisor */
 static unsigned long GCD( unsigned long a, unsigned long b )
 {
     return (b==0) ? a : GCD( b, a%b);
 }
 
-/* least common multiple - PPCM in French */
-static unsigned long LCM( unsigned long a, unsigned long b )
-{
-    return (a*b) / GCD(a,b);
-}
-
-#define PA_MAX_( a, b ) (((a) > (b)) ? (a) : (b))
-
 static unsigned long CalculateFrameShift( unsigned long M, unsigned long N )
 {
-    unsigned long result = 0;
-    unsigned long i;
-    unsigned long lcm;
-
     assert( M > 0 );
     assert( N > 0 );
-
-    lcm = LCM( M, N );
-    for( i = M; i < lcm; i += M )
-        result = PA_MAX_( result, i % N );
-
-    return result;
+    /* https://lac2026.sciencesconf.org/722511 */
+    return N - GCD( M, N );
 }
 
 

From 77def5d173a66cb81a043701d80985f0583b2900 Mon Sep 17 00:00:00 2001
From: Matthias Geier <Matthias.Geier@gmail.com>
Date: Sun, 12 Jul 2026 17:45:38 +0200
Subject: [PATCH 2/2] Add full bibliographic reference

---
 src/common/pa_process.c | 6 +++++-
 1 file changed, 5 insertions(+), 1 deletion(-)

diff --git a/src/common/pa_process.c b/src/common/pa_process.c
index c162ce7f5..92f0b31ad 100644
--- a/src/common/pa_process.c
+++ b/src/common/pa_process.c
@@ -66,7 +66,11 @@ static unsigned long CalculateFrameShift( unsigned long M, unsigned long N )
 {
     assert( M > 0 );
     assert( N > 0 );
-    /* https://lac2026.sciencesconf.org/722511 */
+    /*
+        The minimum required delay is calculated according to:
+        M. Rath & M. Geier, "Minimum required delay for realtime block size adaptation in digital audio signal processing",
+        Linux Audio Conference 2026; https://lac2026.sciencesconf.org/722511
+    */
     return N - GCD( M, N );
 }