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diff --git a/mpfr/tests/trec_sqrt.c b/mpfr/tests/trec_sqrt.c
new file mode 100644
index 00000000..cddb1bec
--- /dev/null
+++ b/mpfr/tests/trec_sqrt.c
@@ -0,0 +1,148 @@
+/* Test file for mpfr_rec_sqrt.
+
+Copyright 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 <stdio.h>
+#include <stdlib.h>
+
+#include "mpfr-test.h"
+
+#if MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0)
+
+#define TEST_FUNCTION mpfr_rec_sqrt
+#define TEST_RANDOM_POS 8 /* 8/512 = 1/64 of the tested numbers are negative */
+#include "tgeneric.c"
+
+static void
+special (void)
+{
+  mpfr_t x, y;
+  int inex;
+
+  mpfr_init (x);
+  mpfr_init (y);
+
+  /* rec_sqrt(NaN) = NaN */
+  mpfr_set_nan (x);
+  inex = mpfr_rec_sqrt (x, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
+
+  /* rec_sqrt(+Inf) = +0 */
+  mpfr_set_inf (x, 1);
+  inex = mpfr_rec_sqrt (x, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_zero_p (x) && MPFR_IS_POS(x) && inex == 0);
+
+  /* rec_sqrt(-Inf) = NaN */
+  mpfr_set_inf (x, -1);
+  inex = mpfr_rec_sqrt (x, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
+
+  /* rec_sqrt(+0) = +Inf */
+  mpfr_set_ui (x, 0, GMP_RNDN);
+  inex = mpfr_rec_sqrt (x, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x) && inex == 0);
+
+  /* rec_sqrt(-0) = +Inf */
+  mpfr_set_ui (x, 0, GMP_RNDN);
+  mpfr_neg (x, x, GMP_RNDN);
+  inex = mpfr_rec_sqrt (x, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x) && inex == 0);
+
+  /* rec_sqrt(-1) = NaN */
+  mpfr_set_si (x, -1, GMP_RNDN);
+  inex = mpfr_rec_sqrt (x, x, GMP_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0);
+
+  /* rec_sqrt(1) = 1 */
+  mpfr_set_ui (x, 1, GMP_RNDN);
+  inex = mpfr_rec_sqrt (x, x, GMP_RNDN);
+  MPFR_ASSERTN((mpfr_cmp_ui (x, 1) == 0) && (inex == 0));
+
+  mpfr_set_prec (x, 23);
+  mpfr_set_prec (y, 33);
+  mpfr_set_str_binary (x, "1.0001110110101001010100e-1");
+  inex = mpfr_rec_sqrt (y, x, GMP_RNDU);
+  mpfr_set_prec (x, 33);
+  mpfr_set_str_binary (x, "1.01010110101110100100100101011");
+  MPFR_ASSERTN (inex > 0 && mpfr_cmp (x, y) == 0);
+
+  mpfr_clear (x);
+  mpfr_clear (y);
+}
+
+/* Worst case incorrectly rounded in r5573, found with the bad_cases test */
+static void
+bad_case1 (void)
+{
+  mpfr_t x, y, z;
+
+  mpfr_init2 (x, 72);
+  mpfr_inits2 (6, y, z, (mpfr_ptr) 0);
+  mpfr_set_str (x, "1.08310518720928b30e@-120", 16, GMP_RNDN);
+  mpfr_set_str (z, "f.8@59", 16, GMP_RNDN);
+  /* z = rec_sqrt(x) rounded on 6 bits toward 0, the exact value
+     being ~= f.bffffffffffffffffa11@59. */
+  mpfr_rec_sqrt (y, x, GMP_RNDZ);
+  if (mpfr_cmp0 (y, z) != 0)
+    {
+      printf ("Error in bad_case1\nexpected ");
+      mpfr_out_str (stdout, 16, 0, z, GMP_RNDN);
+      printf ("\ngot      ");
+      mpfr_out_str (stdout, 16, 0, y, GMP_RNDN);
+      printf ("\n");
+      exit (1);
+    }
+  mpfr_clears (x, y, z, (mpfr_ptr) 0);
+}
+
+static int
+pm2 (mpfr_ptr y, mpfr_srcptr x, mp_rnd_t rnd_mode)
+{
+  return mpfr_pow_si (y, x, -2, rnd_mode);
+}
+
+int
+main (void)
+{
+  tests_start_mpfr ();
+
+  special ();
+  bad_case1 ();
+  test_generic (2, 300, 15);
+
+  data_check ("data/rec_sqrt", mpfr_rec_sqrt, "mpfr_rec_sqrt");
+  bad_cases (mpfr_rec_sqrt, pm2, "mpfr_rec_sqrt", 8, -256, 255, 4, 128,
+             800, 50);
+
+  tests_end_mpfr ();
+  return 0;
+}
+
+#else  /* MPFR_VERSION */
+
+int
+main (void)
+{
+  printf ("Warning! Test disabled for this MPFR version.\n");
+  return 0;
+}
+
+#endif  /* MPFR_VERSION */