added mpfr_powr

git-svn-id: https://scm.gforge.inria.fr/anonscm/svn/mpfr/trunk@14414 280ebfd0-de03-0410-8827-d642c229c3f4

1 files changed, 211 insertions, 0 deletions

diff --git a/tests/tpowr.c b/tests/tpowr.c
new file mode 100644
index 000000000..eb4b3c89c
--- /dev/null
+++ b/tests/tpowr.c
@@ -0,0 +1,211 @@
+/* Test file for mpfr_powr.
+
+Copyright 2021 Free Software Foundation, Inc.
+Contributed by the AriC and Caramba 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 3 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.LESSER.  If not, see
+https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
+51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
+
+#include "mpfr-test.h"
+
+/* check the special rules from IEEE 754-2019 */
+static void
+check_ieee754_2019 (void)
+{
+  mpfr_t x, y, z;
+  mpfr_prec_t p = 5;
+
+  mpfr_init2 (x, p);
+  mpfr_init2 (y, p);
+  mpfr_init2 (z, p);
+
+  /* powr (x, ±0) is 1 for finite x > 0 */
+  mpfr_set_ui (x, 17, MPFR_RNDN);
+  mpfr_set_zero (y, 1);
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_cmp_ui (z, 1) == 0);
+  mpfr_set_zero (y, -1);
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_cmp_ui (z, 1) == 0);
+
+  /* powr (±0, y) is +∞ and signals divideByZero for finite y < 0 */
+  mpfr_set_si (y, -17, MPFR_RNDN);
+  mpfr_set_zero (x, 1);
+  mpfr_clear_divby0 ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0 && mpfr_divby0_p ());
+  mpfr_set_zero (x, -1);
+  mpfr_clear_divby0 ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0 && mpfr_divby0_p ());
+  /* try also y an even negative integer */
+  mpfr_set_si (y, -42, MPFR_RNDN);
+  mpfr_set_zero (x, 1);
+  mpfr_clear_divby0 ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0 && mpfr_divby0_p ());
+  mpfr_set_zero (x, -1);
+  mpfr_clear_divby0 ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0 && mpfr_divby0_p ());
+  /* and y not an integer */
+  mpfr_set_si_2exp (y, -17, -1, MPFR_RNDN);
+  mpfr_set_zero (x, 1);
+  mpfr_clear_divby0 ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0 && mpfr_divby0_p ());
+  mpfr_set_zero (x, -1);
+  mpfr_clear_divby0 ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0 && mpfr_divby0_p ());
+
+  /* powr (±0, −∞) is +∞ */
+  mpfr_set_inf (y, -1);
+  mpfr_set_zero (x, 1);
+  mpfr_clear_divby0 ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0 && !mpfr_divby0_p ());
+  mpfr_set_zero (x, -1);
+  mpfr_clear_divby0 ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0 && !mpfr_divby0_p ());
+
+  /* powr (±0, y) is +0 for y > 0 */
+  mpfr_set_ui (y, 17, MPFR_RNDN);
+  mpfr_set_zero (x, 1);
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_zero_p (z) && !mpfr_signbit (z));
+  mpfr_set_zero (x, -1);
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_zero_p (z) && !mpfr_signbit (z));
+
+  /* powr (+1, y) is 1 for finite y */
+  mpfr_set_ui (x, 1, MPFR_RNDN);
+  mpfr_set_ui (y, 17, MPFR_RNDN);
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_cmp_ui (z, 1) == 0);
+
+  /* powr (x, y) signals the invalid operation exception for x < 0 */
+  mpfr_set_si (x, -1, MPFR_RNDN);
+  mpfr_set_si (y, 1, MPFR_RNDN);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+
+  /* powr (±0, ±0) signals the invalid operation exception */
+  mpfr_set_zero (x, 1);
+  mpfr_set_zero (y, 1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_zero (y, -1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_zero (x, -1);
+  mpfr_set_zero (y, 1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_zero (y, -1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+
+  /* powr (+∞, ±0) signals the invalid operation exception */
+  mpfr_set_inf (x, 1);
+  mpfr_set_zero (y, 1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_zero (y, -1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+
+  /* powr (+1, ±∞) signals the invalid operation exception */
+  mpfr_set_ui (x, 1, MPFR_RNDN);
+  mpfr_set_inf (y, 1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_inf (y, -1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+
+  /* powr (x, qNaN) is qNaN for x ≥ 0 */
+  mpfr_set_nan (y);
+  mpfr_set_zero (x, -1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_zero (x, 1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_ui (x, 17, MPFR_RNDN);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_inf (x, 1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+
+  /* powr (qNaN, y) is qNaN */
+  mpfr_set_nan (x);
+  mpfr_set_inf (y, 1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_inf (y, -1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_zero (y, 1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_zero (y, -1);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_si (y, 17, MPFR_RNDN);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+  mpfr_set_si (y, -17, MPFR_RNDN);
+  mpfr_clear_nanflag ();
+  mpfr_powr (z, x, y, MPFR_RNDN);
+  MPFR_ASSERTN(mpfr_nan_p (z) && mpfr_nanflag_p ());
+
+  mpfr_clear (x);
+  mpfr_clear (y);
+  mpfr_clear (z);
+}
+
+int
+main (int argc, char **argv)
+{
+  tests_start_mpfr ();
+
+  check_ieee754_2019 ();
+
+  tests_end_mpfr ();
+  return 0;
+}