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+/* Test file for mpfr_get_f.
+
+Copyright 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc.
+Contributed by the AriC and Caramel 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
+http://www.gnu.org/licenses/ or 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"
+
+/* Test that there is no lost of accuracy when converting a mpfr_t number
+ into a mpf_t number (test with various precisions and exponents). */
+static void
+prec_test (void)
+{
+ int px, py;
+
+ for (py = 3; py <= 136; py++)
+ {
+ mpfr_t y1, y2, y3;
+
+ mpfr_init2 (y1, py);
+ mpfr_init2 (y2, py);
+ mpfr_init2 (y3, py);
+
+ for (px = 32; px <= 160; px += 32)
+ {
+ mpf_t x1, x2, x3;
+ int e;
+
+ mpf_init (x1);
+ mpf_init (x2);
+ mpf_init (x3);
+ mpfr_set_ui_2exp (y1, 1, py - 1, MPFR_RNDN);
+ mpfr_get_f (x1, y1, MPFR_RNDN); /* exact (power of 2) */
+ mpf_set (x2, x1);
+ mpfr_set (y2, y1, MPFR_RNDN);
+
+ for (e = py - 2; e >= 0; e--)
+ {
+ int inex;
+ mpf_div_2exp (x2, x2, 1);
+ mpf_add (x1, x1, x2);
+ mpfr_div_2exp (y2, y2, 1, MPFR_RNDN);
+ inex = mpfr_add (y1, y1, y2, MPFR_RNDN);
+ MPFR_ASSERTN (inex == 0);
+ mpfr_set_f (y3, x1, MPFR_RNDN);
+ if (! mpfr_equal_p (y1, y3))
+ break;
+ inex = mpfr_get_f (x3, y3, MPFR_RNDN);
+ if (mpf_cmp (x1, x3) != 0)
+ {
+ printf ("Error in prec_test (px = %d, py = %d, e = %d)\n",
+ px, py, e);
+ printf ("x1 = ");
+ mpf_out_str (stdout, 16, 0, x1);
+ printf ("\nx2 = ");
+ mpf_out_str (stdout, 16, 0, x2);
+ printf ("\n");
+ exit (1);
+ }
+ if (inex != 0)
+ {
+ printf ("Error in prec_test (px = %d, py = %d, e = %d)\n",
+ px, py, e);
+ printf ("wrong ternary value got: %+d, expected: 0\n",
+ inex);
+ exit (1);
+ }
+ }
+
+ mpf_clear (x1);
+ mpf_clear (x2);
+ mpf_clear (x3);
+ }
+
+ mpfr_clear (y1);
+ mpfr_clear (y2);
+ mpfr_clear (y3);
+ }
+}
+
+static void
+special_test (void)
+{
+ int inex;
+ mpf_t x;
+ mpfr_t y;
+
+ mpfr_init (y);
+ mpf_init (x);
+
+ mpfr_set_nan (y);
+ mpfr_clear_flags ();
+ mpfr_get_f (x, y, MPFR_RNDN);
+ if (! mpfr_erangeflag_p ())
+ {
+ printf ("Error: mpfr_get_f(NaN) should raise erange flag\n");
+ exit (1);
+ }
+
+ mpfr_set_inf (y, +1);
+ mpfr_clear_flags ();
+ inex = mpfr_get_f (x, y, MPFR_RNDN);
+ if (inex >= 0)
+ {
+ printf ("Error: mpfr_get_f(+Inf) should return a negative ternary"
+ "value\n");
+ exit (1);
+ }
+ if (! mpfr_erangeflag_p ())
+ {
+ printf ("Error: mpfr_get_f(+Inf) should raise erange flag\n");
+ exit (1);
+ }
+
+ mpfr_set_inf (y, -1);
+ mpfr_clear_flags ();
+ inex = mpfr_get_f (x, y, MPFR_RNDN);
+ if (inex <= 0)
+ {
+ printf ("Error: mpfr_get_f(-Inf) should return a positive ternary"
+ "value\n");
+ exit (1);
+ }
+ if (! mpfr_erangeflag_p ())
+ {
+ printf ("Error: mpfr_get_f(-Inf) should raise erange flag\n");
+ exit (1);
+ }
+
+ mpfr_set_ui (y, 0, MPFR_RNDN);
+ if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, 0))
+ {
+ printf ("Error: mpfr_get_f(+0) fails\n");
+ exit (1);
+ }
+
+ mpfr_set_ui (y, 0, MPFR_RNDN);
+ mpfr_neg (y, y, MPFR_RNDN);
+ if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, 0))
+ {
+ printf ("Error: mpfr_get_f(-0) fails\n");
+ exit (1);
+ }
+
+ mpfr_clear (y);
+ mpf_clear (x);
+}
+
+static void
+ternary_test (void)
+{
+ int prec;
+ int rnd;
+ int inex, expected_inex;
+ mpf_t x;
+ mpfr_t y;
+
+ mpf_init2 (x, 256);
+ mpfr_init2 (y, 256);
+
+ for (prec = 2; prec <= 256; prec++)
+ {
+
+ mpf_set_prec (x, prec);
+ mpfr_set_prec (y, PREC (x) * GMP_NUMB_BITS + 1);
+
+ /* y == 1 */
+ mpfr_set_ui_2exp (y, 1, prec, MPFR_RNDN);
+
+ RND_LOOP (rnd)
+ {
+ inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd);
+
+ if (inex != 0 || mpfr_cmp_f (y, x) !=0)
+ {
+ printf ("Error in mpfr_get_f (x, y, %s)\nx = ",
+ mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
+ mpf_out_str (stdout, 2, 0, x);
+ printf ("\ny = ");
+ mpfr_dump (y);
+ if (inex != 0)
+ printf ("got ternary value = %+d, expected: 0\n", inex);
+
+ exit (1);
+ }
+ }
+
+ /* y == 1 + epsilon */
+ mpfr_nextbelow (y);
+
+ RND_LOOP (rnd)
+ {
+ switch (rnd)
+ {
+ case MPFR_RNDU: case MPFR_RNDA:
+ case MPFR_RNDN:
+ expected_inex = +1;
+ break;
+ default :
+ expected_inex = -1;
+ }
+
+ inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd);
+
+ if (! SAME_SIGN (expected_inex, inex)
+ || SAME_SIGN (expected_inex, mpfr_cmp_f (y, x)))
+ {
+ printf ("Error in mpfr_get_f (x, y, %s)\nx = ",
+ mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
+ mpf_out_str (stdout, 2, 0, x);
+ printf ("\ny = ");
+ mpfr_dump (y);
+ if (! SAME_SIGN (expected_inex, inex))
+ printf ("got ternary value = %+d, expected: %+d\n",
+ inex, expected_inex);
+
+ exit (1);
+ }
+ }
+
+ /* y == positive random float */
+ mpfr_random2 (y, MPFR_LIMB_SIZE (y), 1024, RANDS);
+
+ RND_LOOP (rnd)
+ {
+ inex = mpfr_get_f (x, y, (mpfr_rnd_t) rnd);
+
+ if (! SAME_SIGN (inex, -mpfr_cmp_f (y, x)))
+ {
+ printf ("Error in mpfr_get_f (x, y, %s)\nx = ",
+ mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
+ mpf_out_str (stdout, 2, 0, x);
+ printf ("\ny = ");
+ mpfr_dump (y);
+ printf ("got ternary value = %+d, expected: %+d\n",
+ inex, -mpfr_cmp_f (y, x));
+
+ exit (1);
+ }
+ }
+ }
+
+ mpf_clear (x);
+ mpfr_clear (y);
+}
+
+int
+main (void)
+{
+ mpf_t x;
+ mpfr_t y, z;
+ unsigned long i;
+ mpfr_exp_t e;
+ int inex;
+
+ tests_start_mpfr ();
+
+ mpfr_init (y);
+ mpfr_init (z);
+ mpf_init (x);
+
+ i = 1;
+ while (i)
+ {
+ mpfr_set_ui (y, i, MPFR_RNDN);
+ if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_ui (x, i))
+ {
+ printf ("Error: mpfr_get_f(%lu) fails\n", i);
+ exit (1);
+ }
+ if (i <= - (unsigned long) LONG_MIN)
+ {
+ long j = i < - (unsigned long) LONG_MIN ? - (long) i : LONG_MIN;
+ mpfr_set_si (y, j, MPFR_RNDN);
+ if (mpfr_get_f (x, y, MPFR_RNDN) != 0 || mpf_cmp_si (x, j))
+ {
+ printf ("Error: mpfr_get_f(-%lu) fails\n", i);
+ exit (1);
+ }
+ }
+ i *= 2;
+ }
+
+ /* same tests, but with a larger precision for y, which requires to
+ round it */
+ mpfr_set_prec (y, 100);
+ i = 1;
+ while (i)
+ {
+ mpfr_set_ui (y, i, MPFR_RNDN);
+ inex = mpfr_get_f (x, y, MPFR_RNDN);
+ if (! SAME_SIGN (inex, - mpfr_cmp_f (y, x)) || mpf_cmp_ui (x, i))
+ {
+ printf ("Error: mpfr_get_f(%lu) fails\n", i);
+ exit (1);
+ }
+ mpfr_set_si (y, (signed long) -i, MPFR_RNDN);
+ inex = mpfr_get_f (x, y, MPFR_RNDN);
+ if (! SAME_SIGN (inex, - mpfr_cmp_f (y, x))
+ || mpf_cmp_si (x, (signed long) -i))
+ {
+ printf ("Error: mpfr_get_f(-%lu) fails\n", i);
+ exit (1);
+ }
+ i *= 2;
+ }
+
+ /* bug reported by Jim White */
+ for (e = 0; e <= 2 * GMP_NUMB_BITS; e++)
+ {
+ /* test with 2^(-e) */
+ mpfr_set_ui (y, 1, MPFR_RNDN);
+ mpfr_div_2exp (y, y, e, MPFR_RNDN);
+ inex = mpfr_get_f (x, y, MPFR_RNDN);
+ mpf_mul_2exp (x, x, e);
+ if (inex != 0 || mpf_cmp_ui (x, 1) != 0)
+ {
+ printf ("Error: mpfr_get_f(x,y,MPFR_RNDN) fails\n");
+ printf ("y=");
+ mpfr_dump (y);
+ printf ("x=");
+ mpf_div_2exp (x, x, e);
+ mpf_out_str (stdout, 2, 0, x);
+ exit (1);
+ }
+
+ /* test with 2^(e) */
+ mpfr_set_ui (y, 1, MPFR_RNDN);
+ mpfr_mul_2exp (y, y, e, MPFR_RNDN);
+ inex = mpfr_get_f (x, y, MPFR_RNDN);
+ mpf_div_2exp (x, x, e);
+ if (inex != 0 || mpf_cmp_ui (x, 1) != 0)
+ {
+ printf ("Error: mpfr_get_f(x,y,MPFR_RNDN) fails\n");
+ printf ("y=");
+ mpfr_dump (y);
+ printf ("x=");
+ mpf_mul_2exp (x, x, e);
+ mpf_out_str (stdout, 2, 0, x);
+ exit (1);
+ }
+ }
+
+ /* Bug reported by Yury Lukach on 2006-04-05 */
+ mpfr_set_prec (y, 32);
+ mpfr_set_prec (z, 32);
+ mpf_set_prec (x, 32);
+ mpfr_set_ui_2exp (y, 0xc1234567, -30, MPFR_RNDN);
+ mpfr_get_f (x, y, MPFR_RNDN);
+ inex = mpfr_set_f (z, x, MPFR_RNDN);
+ if (inex != 0 || ! mpfr_equal_p (y, z))
+ {
+ printf ("Error in mpfr_get_f:\n inex = %d, y = ", inex);
+ mpfr_dump (z);
+ printf ("Expected:\n inex = 0, y = ");
+ mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_clear (y);
+ mpfr_clear (z);
+ mpf_clear (x);
+
+ special_test ();
+ prec_test ();
+ ternary_test ();
+
+ tests_end_mpfr ();
+ return 0;
+}