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/* Test file for mpz_set_fr / mpfr_get_z.
Copyright 2004, 2006-2020 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"
static void check_diff (void) { int inex; mpfr_t x; mpz_t z; mpfr_exp_t emin;
mpz_init (z); mpfr_init2 (x, 2);
mpfr_set_ui (x, 2047, MPFR_RNDU); mpz_set_fr (z, x, MPFR_RNDN); if (mpz_cmp_ui (z, 2048) != 0) { printf ("get_z RU 2048 failed\n"); exit (1); }
mpfr_set_prec (x, 6); mpfr_set_str (x, "17.5", 10, MPFR_RNDN); inex = mpfr_get_z (z, x, MPFR_RNDN); if (inex <= 0 || mpz_cmp_ui (z, 18) != 0) { printf ("get_z RN 17.5 failed\n"); exit (1); }
/* save default emin */ emin = mpfr_get_emin ();;
mpfr_set_emin (17); mpfr_set_ui (x, 0, MPFR_RNDN); inex = mpfr_get_z (z, x, MPFR_RNDN); if (inex != 0 || mpz_cmp_ui (z, 0) != 0) { printf ("get_z 0 failed\n"); exit (1); }
/* restore default emin */ mpfr_set_emin (emin);
mpfr_clear (x); mpz_clear (z); }
static void check_one (mpz_ptr z) { mpfr_exp_t emin, emax; int inex; int sh, neg; mpfr_t f; mpz_t got, ex, t;
emin = mpfr_get_emin (); emax = mpfr_get_emax ();
mpfr_init2 (f, MAX (mpz_sizeinbase (z, 2), MPFR_PREC_MIN)); mpz_init (got); mpz_init (ex); mpz_init (t);
for (sh = -2*GMP_NUMB_BITS ; sh < 2*GMP_NUMB_BITS ; sh++) { inex = mpfr_set_z (f, z, MPFR_RNDN); /* exact */ MPFR_ASSERTN (inex == 0);
inex = sh < 0 ? mpfr_div_2ui (f, f, -sh, MPFR_RNDN) : mpfr_mul_2ui (f, f, sh, MPFR_RNDN); MPFR_ASSERTN (inex == 0);
for (neg = 0; neg <= 1; neg++) { int rnd;
/* Test (-1)^neg * z * 2^sh */
RND_LOOP_NO_RNDF (rnd) { int ex_inex, same; int d, fi, e; mpfr_flags_t flags[3] = { 0, MPFR_FLAGS_ALL ^ MPFR_FLAGS_ERANGE, MPFR_FLAGS_ALL }, ex_flags, gt_flags;
if (neg) mpz_neg (ex, z); else mpz_set (ex, z);
if (sh < 0) switch (rnd) { case MPFR_RNDN: mpz_set_si (t, neg ? -1 : 1); mpz_mul_2exp (t, t, -sh - 1); mpz_add (ex, ex, t); /* d = mpz_divisible_2exp_p (ex, -sh); */ d = mpz_scan1 (ex, 0) >= -sh; mpz_tdiv_q_2exp (ex, ex, -sh); if (d && mpz_tstbit (ex, 0) != 0) /* even rounding */ { if (neg) mpz_add_ui (ex, ex, 1); else mpz_sub_ui (ex, ex, 1); } break; case MPFR_RNDZ: mpz_tdiv_q_2exp (ex, ex, -sh); break; case MPFR_RNDU: mpz_cdiv_q_2exp (ex, ex, -sh); break; case MPFR_RNDD: mpz_fdiv_q_2exp (ex, ex, -sh); break; case MPFR_RNDA: if (neg) mpz_fdiv_q_2exp (ex, ex, -sh); else mpz_cdiv_q_2exp (ex, ex, -sh); break; default: MPFR_ASSERTN (0); } else mpz_mul_2exp (ex, ex, sh);
ex_inex = - mpfr_cmp_z (f, ex); ex_inex = VSIGN (ex_inex);
for (fi = 0; fi < numberof (flags); fi++) for (e = 0; e < 2; e++) { if (e) { mpfr_exp_t ef;
if (MPFR_IS_ZERO (f)) break; ef = MPFR_GET_EXP (f); set_emin (ef); set_emax (ef); } ex_flags = __gmpfr_flags = flags[fi]; if (ex_inex != 0) ex_flags |= MPFR_FLAGS_INEXACT; inex = mpfr_get_z (got, f, (mpfr_rnd_t) rnd); inex = VSIGN (inex); gt_flags = __gmpfr_flags; set_emin (emin); set_emax (emax); same = SAME_SIGN (inex, ex_inex);
if (mpz_cmp (got, ex) != 0 || !same || gt_flags != ex_flags) { printf ("Error in check_one for sh=%d, fi=%d, %s%s\n", sh, fi, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd), e ? ", reduced exponent range" : ""); printf (" f = "); mpfr_dump (f); printf ("expected "); mpz_out_str (stdout, 10, ex); printf ("\n got "); mpz_out_str (stdout, 10, got); printf ("\nExpected inex ~ %d, got %d (%s)\n", ex_inex, inex, same ? "OK" : "wrong"); printf ("Flags:\n"); printf (" in"); flags_out (flags[fi]); printf ("expected"); flags_out (ex_flags); printf (" got"); flags_out (gt_flags); exit (1); } } }
mpfr_neg (f, f, MPFR_RNDN); } }
mpfr_clear (f); mpz_clear (got); mpz_clear (ex); mpz_clear (t); }
static void check (void) { mpz_t z;
mpz_init (z);
mpz_set_ui (z, 0L); check_one (z);
mpz_set_si (z, 17L); check_one (z);
mpz_set_si (z, 123L); check_one (z);
mpz_rrandomb (z, RANDS, 2*GMP_NUMB_BITS); check_one (z);
mpz_rrandomb (z, RANDS, 5*GMP_NUMB_BITS); check_one (z);
mpz_clear (z); }
static void special (void) { int inex; mpfr_t x; mpz_t z; int i, fi; int rnd; mpfr_exp_t e; mpfr_flags_t flags[3] = { 0, MPFR_FLAGS_ALL ^ MPFR_FLAGS_ERANGE, MPFR_FLAGS_ALL }, ex_flags, gt_flags;
mpfr_init2 (x, 2); mpz_init (z);
RND_LOOP (rnd) for (i = -1; i <= 1; i++) for (fi = 0; fi < numberof (flags); fi++) { ex_flags = flags[fi] | MPFR_FLAGS_ERANGE; if (i != 0) mpfr_set_nan (x); else mpfr_set_inf (x, i); __gmpfr_flags = flags[fi]; inex = mpfr_get_z (z, x, (mpfr_rnd_t) rnd); gt_flags = __gmpfr_flags; if (gt_flags != ex_flags || inex != 0 || mpz_cmp_ui (z, 0) != 0) { printf ("special() failed on mpfr_get_z" " for %s, i = %d, fi = %d\n", mpfr_print_rnd_mode ((mpfr_rnd_t) rnd), i, fi); printf ("Expected z = 0, inex = 0,"); flags_out (ex_flags); printf ("Got z = "); mpz_out_str (stdout, 10, z); printf (", inex = %d,", inex); flags_out (gt_flags); exit (1); } __gmpfr_flags = flags[fi]; e = mpfr_get_z_2exp (z, x); gt_flags = __gmpfr_flags; if (gt_flags != ex_flags || e != __gmpfr_emin || mpz_cmp_ui (z, 0) != 0) { printf ("special() failed on mpfr_get_z_2exp" " for %s, i = %d, fi = %d\n", mpfr_print_rnd_mode ((mpfr_rnd_t) rnd), i, fi); printf ("Expected z = 0, e = %" MPFR_EXP_FSPEC "d,", (mpfr_eexp_t) __gmpfr_emin); flags_out (ex_flags); printf ("Got z = "); mpz_out_str (stdout, 10, z); printf (", e = %" MPFR_EXP_FSPEC "d,", (mpfr_eexp_t) e); flags_out (gt_flags); exit (1); } }
mpfr_clear (x); mpz_clear (z); }
int main (void) { tests_start_mpfr ();
check (); check_diff (); special ();
tests_end_mpfr (); return 0; }
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