--- /dev/null
+/* Test file for mpfr_exp2.
+
+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 <limits.h>
+
+#include "mpfr-test.h"
+
+#define TEST_FUNCTION mpfr_exp2
+#define TEST_RANDOM_EMIN -36
+#define TEST_RANDOM_EMAX 36
+#include "tgeneric.c"
+
+static void
+special_overflow (void)
+{
+ mpfr_t x, y;
+ int inex;
+ mp_exp_t emin, emax;
+
+ emin = mpfr_get_emin ();
+ emax = mpfr_get_emax ();
+
+ set_emin (-125);
+ set_emax (128);
+
+ mpfr_init2 (x, 24);
+ mpfr_init2 (y, 24);
+
+ mpfr_set_str_binary (x, "0.101100100000000000110100E15");
+ inex = mpfr_exp2 (y, x, GMP_RNDN);
+ if (!mpfr_inf_p (y) || inex <= 0)
+ {
+ printf ("Overflow error.\n");
+ mpfr_dump (y);
+ printf ("inex = %d\n", inex);
+ exit (1);
+ }
+
+ mpfr_clear (y);
+ mpfr_clear (x);
+ set_emin (emin);
+ set_emax (emax);
+}
+
+static void
+emax_m_eps (void)
+{
+ if (mpfr_get_emax () <= LONG_MAX)
+ {
+ mpfr_t x, y;
+ int inex, ov;
+
+ mpfr_init2 (x, sizeof(mp_exp_t) * CHAR_BIT * 4);
+ mpfr_init2 (y, 8);
+ mpfr_set_si (x, mpfr_get_emax (), GMP_RNDN);
+
+ mpfr_clear_flags ();
+ inex = mpfr_exp2 (y, x, GMP_RNDN);
+ ov = mpfr_overflow_p ();
+ if (!ov || !mpfr_inf_p (y) || inex <= 0)
+ {
+ printf ("Overflow error for x = emax, GMP_RNDN.\n");
+ mpfr_dump (y);
+ printf ("inex = %d, %soverflow\n", inex, ov ? "" : "no ");
+ exit (1);
+ }
+
+ mpfr_nextbelow (x);
+
+ mpfr_clear_flags ();
+ inex = mpfr_exp2 (y, x, GMP_RNDN);
+ ov = mpfr_overflow_p ();
+ if (!ov || !mpfr_inf_p (y) || inex <= 0)
+ {
+ printf ("Overflow error for x = emax - eps, GMP_RNDN.\n");
+ mpfr_dump (y);
+ printf ("inex = %d, %soverflow\n", inex, ov ? "" : "no ");
+ exit (1);
+ }
+
+ mpfr_clear_flags ();
+ inex = mpfr_exp2 (y, x, GMP_RNDD);
+ ov = mpfr_overflow_p ();
+ if (ov || mpfr_inf_p (y) || inex >= 0 ||
+ (mpfr_nextabove (y), !mpfr_inf_p (y)))
+ {
+ printf ("Overflow error for x = emax - eps, GMP_RNDD.\n");
+ mpfr_dump (y);
+ printf ("inex = %d, %soverflow\n", inex, ov ? "" : "no ");
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ }
+}
+
+static void
+exp_range (void)
+{
+ mpfr_t x;
+ mp_exp_t emin;
+
+ emin = mpfr_get_emin ();
+ set_emin (3);
+ mpfr_init2 (x, 8);
+ mpfr_set_ui (x, 5, GMP_RNDN);
+ mpfr_exp2 (x, x, GMP_RNDN);
+ set_emin (emin);
+ if (mpfr_nan_p (x) || mpfr_cmp_ui (x, 32) != 0)
+ {
+ printf ("Error in mpfr_exp2 for x = 5, with emin = 3\n");
+ printf ("Expected 32, got ");
+ mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+ mpfr_clear (x);
+}
+
+static void
+overflowed_exp2_0 (void)
+{
+ mpfr_t x, y;
+ int emax, i, inex, rnd, err = 0;
+ mp_exp_t old_emax;
+
+ old_emax = mpfr_get_emax ();
+
+ mpfr_init2 (x, 8);
+ mpfr_init2 (y, 8);
+
+ for (emax = -1; emax <= 0; emax++)
+ {
+ mpfr_set_ui_2exp (y, 1, emax, GMP_RNDN);
+ mpfr_nextbelow (y);
+ set_emax (emax); /* 1 is not representable. */
+ /* and if emax < 0, 1 - eps is not representable either. */
+ for (i = -1; i <= 1; i++)
+ RND_LOOP (rnd)
+ {
+ mpfr_set_si_2exp (x, i, -512 * ABS (i), GMP_RNDN);
+ mpfr_clear_flags ();
+ inex = mpfr_exp2 (x, x, (mp_rnd_t) rnd);
+ if ((i >= 0 || emax < 0 || rnd == GMP_RNDN || rnd == GMP_RNDU) &&
+ ! mpfr_overflow_p ())
+ {
+ printf ("Error in overflowed_exp2_0 (i = %d, rnd = %s):\n"
+ " The overflow flag is not set.\n",
+ i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (rnd == GMP_RNDZ || rnd == GMP_RNDD)
+ {
+ if (inex >= 0)
+ {
+ printf ("Error in overflowed_exp2_0 (i = %d, rnd = %s):\n"
+ " The inexact value must be negative.\n",
+ i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (! mpfr_equal_p (x, y))
+ {
+ printf ("Error in overflowed_exp2_0 (i = %d, rnd = %s):\n"
+ " Got ", i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ mpfr_print_binary (x);
+ printf (" instead of 0.11111111E%d.\n", emax);
+ err = 1;
+ }
+ }
+ else
+ {
+ if (inex <= 0)
+ {
+ printf ("Error in overflowed_exp2_0 (i = %d, rnd = %s):\n"
+ " The inexact value must be positive.\n",
+ i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ err = 1;
+ }
+ if (! (mpfr_inf_p (x) && MPFR_SIGN (x) > 0))
+ {
+ printf ("Error in overflowed_exp2_0 (i = %d, rnd = %s):\n"
+ " Got ", i, mpfr_print_rnd_mode ((mp_rnd_t) rnd));
+ mpfr_print_binary (x);
+ printf (" instead of +Inf.\n");
+ err = 1;
+ }
+ }
+ }
+ set_emax (old_emax);
+ }
+
+ if (err)
+ exit (1);
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+int
+main (int argc, char *argv[])
+{
+ mpfr_t x, y;
+ mp_exp_t emin, emax;
+
+ tests_start_mpfr ();
+
+ special_overflow ();
+ emax_m_eps ();
+ exp_range ();
+
+ mpfr_init (x);
+ mpfr_init (y);
+
+ mpfr_set_ui (x, 4, GMP_RNDN);
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if (mpfr_cmp_ui (y, 16) != 0)
+ {
+ printf ("Error for 2^4, GMP_RNDN\n");
+ exit (1);
+ }
+ mpfr_exp2 (y, x, GMP_RNDD);
+ if (mpfr_cmp_ui (y, 16) != 0)
+ {
+ printf ("Error for 2^4, GMP_RNDD\n");
+ exit (1);
+ }
+ mpfr_exp2 (y, x, GMP_RNDU);
+ if (mpfr_cmp_ui (y, 16) != 0)
+ {
+ printf ("Error for 2^4, GMP_RNDU\n");
+ exit (1);
+ }
+
+ mpfr_set_si (x, -4, GMP_RNDN);
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if (mpfr_cmp_ui_2exp (y, 1, -4) != 0)
+ {
+ printf ("Error for 2^(-4), GMP_RNDN\n");
+ exit (1);
+ }
+ mpfr_exp2 (y, x, GMP_RNDD);
+ if (mpfr_cmp_ui_2exp (y, 1, -4) != 0)
+ {
+ printf ("Error for 2^(-4), GMP_RNDD\n");
+ exit (1);
+ }
+ mpfr_exp2 (y, x, GMP_RNDU);
+ if (mpfr_cmp_ui_2exp (y, 1, -4) != 0)
+ {
+ printf ("Error for 2^(-4), GMP_RNDU\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (y, 53);
+ mpfr_set_str (x, /*-1683977482443233.0 / 2199023255552.0*/
+ "-7.6578429909351734750089235603809357e2", 10, GMP_RNDN);
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if (mpfr_cmp_str1 (y, "2.991959870867646566478e-231"))
+ {
+ printf ("Error for x=-1683977482443233/2^41\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 10);
+ mpfr_set_prec (y, 10);
+ /* save emin */
+ emin = mpfr_get_emin ();
+ set_emin (-10);
+ mpfr_set_si (x, -12, GMP_RNDN);
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if (mpfr_cmp_ui (y, 0) || mpfr_sgn (y) < 0)
+ {
+ printf ("Error for x=emin-2, RNDN\n");
+ printf ("Expected +0\n");
+ printf ("Got "); mpfr_print_binary (y); puts ("");
+ exit (1);
+ }
+ /* restore emin */
+ set_emin (emin);
+
+ /* save emax */
+ emax = mpfr_get_emax ();
+ set_emax (10);
+ mpfr_set_ui (x, 11, GMP_RNDN);
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0)
+ {
+ printf ("Error for x=emax+1, RNDN\n");
+ exit (1);
+ }
+ /* restore emax */
+ set_emax (emax);
+
+ MPFR_SET_INF(x);
+ MPFR_SET_POS(x);
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if(!MPFR_IS_INF(y))
+ {
+ printf ("evaluation of function in INF does not return INF\n");
+ exit (1);
+ }
+
+ MPFR_CHANGE_SIGN(x);
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if(!MPFR_IS_ZERO(y))
+ {
+ printf ("evaluation of function in -INF does not return 0\n");
+ exit (1);
+ }
+
+ MPFR_SET_NAN(x);
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if(!MPFR_IS_NAN(y))
+ {
+ printf ("evaluation of function in NaN does not return NaN\n");
+ exit (1);
+ }
+
+ if ((mp_exp_unsigned_t) 8 << 31 != 0 ||
+ mpfr_get_emax () <= (mp_exp_unsigned_t) 100000 * 100000)
+ {
+ /* emax <= 10000000000 */
+ mpfr_set_prec (x, 40);
+ mpfr_set_prec (y, 40);
+ mpfr_set_str (x, "10000000000.5", 10, GMP_RNDN);
+ mpfr_clear_flags ();
+ mpfr_exp2 (y, x, GMP_RNDN);
+ if (!(MPFR_IS_INF (y) && MPFR_IS_POS (y) && mpfr_overflow_p ()))
+ {
+ printf ("exp2(10000000000.5) should overflow.\n");
+ exit (1);
+ }
+ }
+
+ mpfr_set_prec (x, 2);
+ mpfr_set_prec (y, 2);
+ mpfr_set_str_binary (x, "-1.0E-26");
+ mpfr_exp2 (y, x, GMP_RNDD);
+ mpfr_set_str_binary (x, "1.1E-1");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error for exp(-2^(-26)) for prec=2\n");
+ exit (1);
+ }
+
+ test_generic (2, 100, 100);
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+
+ overflowed_exp2_0 ();
+
+ data_check ("data/exp2", mpfr_exp2, "mpfr_exp2");
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff