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diff --git a/mpfr/tests/tsum.c b/mpfr/tests/tsum.c
new file mode 100644
index 00000000..b89ff36a
--- /dev/null
+++ b/mpfr/tests/tsum.c
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+/* tsum -- test file for the list summation function
+
+Copyright 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao projects, INRIA.
+
+This file is part of the GNU MPFR Library.
+
+The GNU MPFR 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 MPFR 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 MPFR Library; see the file COPYING.LIB.  If not, write to
+the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
+MA 02110-1301, USA. */
+
+#include <stdlib.h>
+#include <stdio.h>
+#include "mpfr-test.h"
+
+static int
+check_is_sorted (unsigned long n, mpfr_srcptr *perm)
+{
+  unsigned long i;
+
+  for (i = 0; i < n - 1; i++)
+    if (MPFR_GET_EXP(perm[i]) < MPFR_GET_EXP(perm[i+1]))
+      return 0;
+  return 1;
+}
+
+static int
+sum_tab (mpfr_ptr ret, mpfr_t *tab, unsigned long n, mp_rnd_t rnd)
+{
+  mpfr_ptr *tabtmp;
+  unsigned long i;
+  int inexact;
+  MPFR_TMP_DECL(marker);
+
+  MPFR_TMP_MARK(marker);
+  tabtmp = (mpfr_ptr *) MPFR_TMP_ALLOC(n * sizeof(mpfr_srcptr));
+  for (i = 0; i < n; i++)
+    tabtmp[i] = tab[i];
+
+  inexact = mpfr_sum (ret, tabtmp, n, rnd);
+  MPFR_TMP_FREE(marker);
+  return inexact;
+}
+
+
+static mp_prec_t
+get_prec_max (mpfr_t *tab, unsigned long n, mp_prec_t f)
+{
+  mp_prec_t res;
+  mp_exp_t min, max;
+  unsigned long i;
+
+  for (i = 0; MPFR_IS_ZERO (tab[i]); i++)
+    MPFR_ASSERTD (i < n);
+  min = max = MPFR_GET_EXP(tab[i]);
+  for (i++; i < n; i++)
+    {
+      if (!MPFR_IS_ZERO (tab[i])) {
+        if (MPFR_GET_EXP(tab[i]) > max)
+          max = MPFR_GET_EXP(tab[i]);
+        if (MPFR_GET_EXP(tab[i]) < min)
+          min = MPFR_GET_EXP(tab[i]);
+      }
+    }
+  res = max - min;
+  res += f;
+  res += __gmpfr_ceil_log2 (n) + 1;
+  return res;
+}
+
+
+static void
+algo_exact (mpfr_t somme, mpfr_t *tab, unsigned long n, mp_prec_t f)
+{
+  unsigned long i;
+  mp_prec_t prec_max;
+
+  prec_max = get_prec_max(tab, n, f);
+  mpfr_set_prec (somme, prec_max);
+  mpfr_set_ui (somme, 0, GMP_RNDN);
+  for (i = 0; i < n; i++)
+    {
+      if (mpfr_add(somme, somme, tab[i], GMP_RNDN))
+        {
+          printf ("FIXME: algo_exact is buggy.\n");
+          exit (1);
+        }
+    }
+}
+
+/* Test the sorting function */
+static void
+test_sort (mp_prec_t f, unsigned long n)
+{
+  mpfr_t *tab;
+  mpfr_ptr *tabtmp;
+  mpfr_srcptr *perm;
+  unsigned long i;
+
+  /* Init stuff */
+  tab = (mpfr_t *) (*__gmp_allocate_func) (n * sizeof (mpfr_t));
+  for (i = 0; i < n; i++)
+    mpfr_init2 (tab[i], f);
+  tabtmp = (mpfr_ptr *) (*__gmp_allocate_func) (n * sizeof(mpfr_ptr));
+  perm = (mpfr_srcptr *) (*__gmp_allocate_func) (n * sizeof(mpfr_srcptr));
+
+  for (i = 0; i < n; i++)
+    {
+      mpfr_urandomb (tab[i], RANDS);
+      tabtmp[i] = tab[i];
+    }
+
+  mpfr_sum_sort ((mpfr_srcptr *)tabtmp, n, perm);
+
+  if (check_is_sorted (n, perm) == 0)
+    {
+      printf ("mpfr_sum_sort incorrect.\n");
+      for (i = 0; i < n; i++)
+        mpfr_dump (perm[i]);
+      exit (1);
+    }
+
+  /* Clear stuff */
+  for (i = 0; i < n; i++)
+    mpfr_clear (tab[i]);
+  (*__gmp_free_func) (tab, n * sizeof (mpfr_t));
+  (*__gmp_free_func) (tabtmp, n * sizeof(mpfr_ptr));
+  (*__gmp_free_func) (perm, n * sizeof(mpfr_srcptr));
+}
+
+static void
+test_sum (mp_prec_t f, unsigned long n)
+{
+  mpfr_t sum, real_sum, real_non_rounded;
+  mpfr_t *tab;
+  unsigned long i;
+  int rnd_mode;
+
+  /* Init */
+  tab = (mpfr_t *) (*__gmp_allocate_func) (n * sizeof(mpfr_t));
+  for (i = 0; i < n; i++)
+    mpfr_init2 (tab[i], f);
+  mpfr_inits2 (f, sum, real_sum, real_non_rounded, (mpfr_ptr) 0);
+
+  /* First Uniform */
+  for (i = 0; i < n; i++)
+    mpfr_urandomb (tab[i], RANDS);
+  algo_exact (real_non_rounded, tab, n, f);
+  for (rnd_mode = 0; rnd_mode < GMP_RND_MAX; rnd_mode++)
+    {
+      sum_tab (sum, tab, n, (mp_rnd_t) rnd_mode);
+      mpfr_set (real_sum, real_non_rounded, (mp_rnd_t) rnd_mode);
+      if (mpfr_cmp (real_sum, sum) != 0)
+        {
+          printf ("mpfr_sum incorrect.\n");
+          mpfr_dump (real_sum);
+          mpfr_dump (sum);
+          exit (1);
+        }
+    }
+
+  /* Then non uniform */
+  for (i = 0; i < n; i++)
+    {
+      mpfr_urandomb (tab[i], RANDS);
+      mpfr_set_exp (tab[i], randlimb () %1000);
+    }
+  algo_exact (real_non_rounded, tab, n, f);
+  for (rnd_mode = 0; rnd_mode < GMP_RND_MAX; rnd_mode++)
+    {
+      sum_tab (sum, tab, n, (mp_rnd_t) rnd_mode);
+      mpfr_set (real_sum, real_non_rounded, (mp_rnd_t) rnd_mode);
+      if (mpfr_cmp (real_sum, sum) != 0)
+        {
+          printf ("mpfr_sum incorrect.\n");
+          mpfr_dump (real_sum);
+          mpfr_dump (sum);
+          exit (1);
+        }
+    }
+
+  /* Clear stuff */
+  for (i = 0; i < n; i++)
+    mpfr_clear (tab[i]);
+  mpfr_clears (sum, real_sum, real_non_rounded, (mpfr_ptr) 0);
+  (*__gmp_free_func) (tab, n * sizeof(mpfr_t));
+}
+
+static
+void check_special (void)
+{
+  mpfr_t tab[3], r;
+  mpfr_ptr tabp[3];
+  int i;
+
+  mpfr_inits (tab[0], tab[1], tab[2], r, (mpfr_ptr) 0);
+  tabp[0] = tab[0];
+  tabp[1] = tab[1];
+  tabp[2] = tab[2];
+
+  i = mpfr_sum (r, tabp, 0, GMP_RNDN);
+  if (!MPFR_IS_ZERO (r) || !MPFR_IS_POS (r) || i != 0)
+    {
+      printf ("Special case n==0 failed!\n");
+      exit (1);
+    }
+
+  mpfr_set_ui (tab[0], 42, GMP_RNDN);
+  i = mpfr_sum (r, tabp, 1, GMP_RNDN);
+  if (mpfr_cmp_ui (r, 42) || i != 0)
+    {
+      printf ("Special case n==1 failed!\n");
+      exit (1);
+    }
+
+  mpfr_set_ui (tab[1], 17, GMP_RNDN);
+  MPFR_SET_NAN (tab[2]);
+  i = mpfr_sum (r, tabp, 3, GMP_RNDN);
+  if (!MPFR_IS_NAN (r) || i != 0)
+    {
+      printf ("Special case NAN failed!\n");
+      exit (1);
+    }
+
+  MPFR_SET_INF (tab[2]);
+  MPFR_SET_POS (tab[2]);
+  i = mpfr_sum (r, tabp, 3, GMP_RNDN);
+  if (!MPFR_IS_INF (r) || !MPFR_IS_POS (r) || i != 0)
+    {
+      printf ("Special case +INF failed!\n");
+      exit (1);
+    }
+
+  MPFR_SET_INF (tab[2]);
+  MPFR_SET_NEG (tab[2]);
+  i = mpfr_sum (r, tabp, 3, GMP_RNDN);
+  if (!MPFR_IS_INF (r) || !MPFR_IS_NEG (r) || i != 0)
+    {
+      printf ("Special case -INF failed!\n");
+      exit (1);
+    }
+
+  MPFR_SET_ZERO (tab[1]);
+  i = mpfr_sum (r, tabp, 2, GMP_RNDN);
+  if (mpfr_cmp_ui (r, 42) || i != 0)
+    {
+      printf ("Special case 42+0 failed!\n");
+      exit (1);
+    }
+
+  MPFR_SET_NAN (tab[0]);
+  i = mpfr_sum (r, tabp, 3, GMP_RNDN);
+  if (!MPFR_IS_NAN (r) || i != 0)
+    {
+      printf ("Special case NAN+0+-INF failed!\n");
+      exit (1);
+    }
+
+  mpfr_set_inf (tab[0], 1);
+  mpfr_set_ui  (tab[1], 59, GMP_RNDN);
+  mpfr_set_inf (tab[2], -1);
+  i = mpfr_sum (r, tabp, 3, GMP_RNDN);
+  if (!MPFR_IS_NAN (r) || i != 0)
+    {
+      printf ("Special case +INF + 59 +-INF failed!\n");
+      exit (1);
+    }
+
+  mpfr_clears (tab[0], tab[1], tab[2], r, (mpfr_ptr) 0);
+}
+
+
+int
+main (void)
+{
+  mp_prec_t p;
+  unsigned long n;
+
+  tests_start_mpfr ();
+
+  check_special ();
+  test_sort (1764, 1026);
+  for (p = 2 ; p < 444 ; p += 17)
+    for (n = 2 ; n < 1026 ; n += 42 + p)
+      test_sum (p, n);
+
+  tests_end_mpfr ();
+  return 0;
+}