manual: Remove incorrect claim that qsort() can be stabilized

Under certain conditions on the size of the array and its items,
qsort() may fall back to an in-place quicksort if it cannot allocate
memory for a temporary array with malloc().  This algorithm is not a
stable sort even if the comparison function is written in the
described manner.

Fixes #10672.

Signed-off-by: Anders Kaseorg <andersk@mit.edu>

1 files changed, 4 insertions, 5 deletions

diff --git a/manual/search.texi b/manual/search.texi
index 509a543..8aff574 100644
--- a/manual/search.texi
+++ b/manual/search.texi
@@ -180,11 +180,10 @@ This can make a difference when the comparison considers only part of
 the elements.  Two elements with the same sort key may differ in other
 respects.
 
-If you want the effect of a stable sort, you can get this result by
-writing the comparison function so that, lacking other reason
-distinguish between two elements, it compares them by their addresses.
-Note that doing this may make the sorting algorithm less efficient, so
-do it only if necessary.
+The addresses passed to the comparison function need not correspond with
+the original location of the objects, and need not even lie within the
+original array.  The only way to perform a stable sort with @var{qsort}
+is to first augment the objects with a monotonic counter of some kind.
 
 Here is a simple example of sorting an array of doubles in numerical
 order, using the comparison function defined above (@pxref{Comparison