diff --git a/benchtests/Makefile b/benchtests/Makefile
index 61077ea9b6f7d4c342192429a8d90ecdf9bdaea7..03311dd72856bf0e595a759b817cb772f0fd3a6f 100644
--- a/benchtests/Makefile
+++ b/benchtests/Makefile
@@ -38,7 +38,7 @@ string-benchset := bcopy bzero memccpy memchr memcmp memcpy memmem memmove \
 		   strcat strchr strchrnul strcmp strcpy strcspn strlen \
 		   strncasecmp strncat strncmp strncpy strnlen strpbrk strrchr \
 		   strspn strstr strcpy_chk stpcpy_chk memrchr strsep strtok \
-		   strcoll memcpy-large memmove-large memset-large
+		   strcoll memcpy-large memcpy-random memmove-large memset-large
 wcsmbs-benchset := wcslen wcsnlen wcscpy wcpcpy wcsncpy wcpncpy wcscat wcsncat \
 		   wcscmp wcsncmp wcschr wcschrnul wcsrchr wcsspn wcspbrk wcscspn \
 		   wmemchr wmemset wmemcmp
diff --git a/benchtests/bench-memcpy-random.c b/benchtests/bench-memcpy-random.c
new file mode 100644
index 0000000000000000000000000000000000000000..668d6a1d35074f4227be4e1ff424da556a377cef
--- /dev/null
+++ b/benchtests/bench-memcpy-random.c
@@ -0,0 +1,130 @@
+/* Measure memcpy functions.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#define MIN_PAGE_SIZE 131072
+#define TEST_MAIN
+#define TEST_NAME "memcpy-random"
+#include "bench-string.h"
+
+IMPL (memcpy, 0)
+
+#define NUM_COPIES 2048
+#define NUM_DISTR  1024
+
+typedef struct
+{
+  uint16_t src;
+  uint16_t dst;
+  uint16_t len;
+} copy_t;
+
+static copy_t copy[NUM_COPIES];
+static uint8_t copy_distribution[NUM_DISTR];
+
+typedef char *(*proto_t) (char *, const char *, size_t);
+
+
+static void
+init_copy_distribution (void)
+{
+  int i, n, pos = 0;
+  for (i = 0; i < 256; i++)
+    {
+      if (i < 8)
+	n = 1;
+      else if (i < 16)
+	n = 8;
+      else if (i < 32)
+	n = 6;
+      else if (i < 64)
+	n = 4;
+      else if (i < 128)
+	n = 2;
+      else
+	n = 1;
+
+      if ((i & 15) == 0)
+	n = n * 7;
+      else if ((i & 7) == 0)
+	n = n * 5;
+      else if ((i & 3) == 0)
+	n = n * 3;
+
+      for ( ; n > 0 && pos < NUM_DISTR; n--)
+	copy_distribution[pos++] = i;
+    }
+  for ( ; pos < NUM_DISTR; pos++)
+    copy_distribution[pos] = 255;
+}
+
+static void
+do_one_test (impl_t *impl, char *dst, char *src, copy_t *copy, size_t n)
+{
+  timing_t start, stop, cur;
+  size_t iters = INNER_LOOP_ITERS * 20;
+
+  TIMING_NOW (start);
+  for (int i = 0; i < iters; ++i)
+    for (int j = 0; j < n; j++)
+      CALL (impl, dst + copy[j].dst, src + copy[j].src, copy[j].len);
+  TIMING_NOW (stop);
+
+  TIMING_DIFF (cur, start, stop);
+
+  TIMING_PRINT_MEAN ((double) cur, (double) iters);
+}
+
+static void
+do_test (size_t max_size)
+{
+  for (int i = 0; i < max_size; i++)
+    buf1[i] = i * 3;
+
+  for (int i = 0; i < NUM_COPIES; i++)
+    {
+      copy[i].dst = rand () & (max_size - 1);
+      copy[i].src = rand () & (max_size - 1);
+      copy[i].len = copy_distribution[rand () & (NUM_DISTR - 1)];
+    }
+
+  printf ("Memory size %6zd:", max_size);
+
+  FOR_EACH_IMPL (impl, 0)
+    do_one_test (impl, (char *) buf2, (char *) buf1, copy, NUM_COPIES);
+
+  putchar ('\n');
+}
+
+int
+test_main (void)
+{
+  test_init ();
+  init_copy_distribution ();
+
+  printf ("%23s", "");
+  FOR_EACH_IMPL (impl, 0)
+    printf ("\t%s", impl->name);
+  putchar ('\n');
+
+  for (int i = 4; i <= 64; i = i * 2)
+    do_test (i * 1024);
+
+  return ret;
+}
+
+#include "../test-skeleton.c"
