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diff --git a/mpfr/tests/tasinh.c b/mpfr/tests/tasinh.c
new file mode 100644
index 00000000..53c92531
--- /dev/null
+++ b/mpfr/tests/tasinh.c
@@ -0,0 +1,161 @@
+/* Test file for mpfr_asinh.
+
+Copyright 2001, 2002, 2003, 2004, 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 <stdio.h>
+#include <stdlib.h>
+
+#include "mpfr-test.h"
+
+#define TEST_FUNCTION mpfr_asinh
+#include "tgeneric.c"
+
+static void
+special (void)
+{
+  mpfr_t x, y, z;
+
+  mpfr_init (x);
+  mpfr_init (y);
+
+  MPFR_SET_INF(x);
+  mpfr_set_ui (y, 1, GMP_RNDN);
+  mpfr_asinh (x, y, GMP_RNDN);
+  if (MPFR_IS_INF(x) || MPFR_IS_NAN(x) )
+    {
+      printf ("Inf flag not clears in asinh!\n");
+      exit (1);
+    }
+
+  MPFR_SET_NAN(x);
+  mpfr_asinh (x, y, GMP_RNDN);
+  if (MPFR_IS_NAN(x) || MPFR_IS_INF(x))
+    {
+      printf ("NAN flag not clears in asinh!\n");
+      exit (1);
+    }
+
+  /* asinh(+0) = +0, asinh(-0) = -0 */
+  mpfr_set_ui (x, 0, GMP_RNDN);
+  mpfr_asinh (y, x, GMP_RNDN);
+  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
+    {
+      printf ("Error: mpfr_asinh(+0) <> +0\n");
+      exit (1);
+    }
+  mpfr_neg (x, x, GMP_RNDN);
+  mpfr_asinh (y, x, GMP_RNDN);
+  if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) > 0)
+    {
+      printf ("Error: mpfr_asinh(-0) <> -0\n");
+      exit (1);
+    }
+
+  MPFR_SET_NAN(x);
+  mpfr_asinh (y, x, GMP_RNDN);
+  if (!mpfr_nan_p (y))
+    {
+      printf ("Error: mpfr_asinh(NaN) <> NaN\n");
+      exit (1);
+    }
+
+  mpfr_set_inf (x, 1);
+  mpfr_asinh (y, x, GMP_RNDN);
+  if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
+    {
+      printf ("Error: mpfr_asinh(+Inf) <> +Inf\n");
+      exit (1);
+    }
+
+  mpfr_set_inf (x, -1);
+  mpfr_asinh (y, x, GMP_RNDN);
+  if (!mpfr_inf_p (y) || mpfr_sgn (y) > 0)
+    {
+      printf ("Error: mpfr_asinh(-Inf) <> -Inf\n");
+      exit (1);
+    }
+
+  mpfr_set_prec (x, 32);
+  mpfr_set_prec (y, 32);
+
+  mpfr_set_str_binary (x, "0.1010100100111011001111100101E-1");
+  mpfr_asinh (x, x, GMP_RNDN);
+  mpfr_set_str_binary (y, "0.10100110010010101101010011011101E-1");
+  if (!mpfr_equal_p (x, y))
+    {
+      printf ("Error: mpfr_asinh (1)\n");
+      exit (1);
+    }
+
+  mpfr_set_str_binary (x, "-.10110011011010111110010001100001");
+  mpfr_asinh (x, x, GMP_RNDN);
+  mpfr_set_str_binary (y, "-.10100111010000111001011100110011");
+  if (!mpfr_equal_p (x, y))
+    {
+      printf ("Error: mpfr_asinh (2)\n");
+      exit (1);
+    }
+
+  mpfr_set_prec (x, 33);
+  mpfr_set_prec (y, 43);
+  mpfr_set_str_binary (x, "0.111001101100000110011001010000101");
+  mpfr_asinh (y, x, GMP_RNDZ);
+  mpfr_init2 (z, 43);
+  mpfr_set_str_binary (z, "0.1100111101010101101010101110000001000111001");
+  if (!mpfr_equal_p (y, z))
+    {
+      printf ("Error: mpfr_asinh (3)\n");
+      exit (1);
+    }
+
+  mpfr_set_prec (x, 53);
+  mpfr_set_prec (y, 2);
+  mpfr_set_str (x, "1.8000000000009@-6", 16, GMP_RNDN);
+  mpfr_asinh (y, x, GMP_RNDZ);
+  mpfr_set_prec (z, 2);
+  mpfr_set_str (z, "1.0@-6", 16, GMP_RNDN);
+  if (!mpfr_equal_p (y, z))
+    {
+      printf ("Error: mpfr_asinh (4)\n");
+      exit (1);
+    }
+
+  mpfr_clear (x);
+  mpfr_clear (y);
+  mpfr_clear (z);
+}
+
+int
+main (int argc, char *argv[])
+{
+  tests_start_mpfr ();
+
+  special ();
+
+  test_generic (2, 100, 25);
+
+  data_check ("data/asinh", mpfr_asinh, "mpfr_asinh");
+  bad_cases (mpfr_asinh, mpfr_sinh, "mpfr_asinh", 256, -128, 29,
+             4, 128, 800, 40);
+
+  tests_end_mpfr ();
+  return 0;
+}