/* Test file for mpfr_set_sj, mpfr_set_uj, mpfr_set_sj_2exp and mpfr_set_uj_2exp. Copyright 2004, 2006-2021 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. */ #define MPFR_NEED_INTMAX_H #include "mpfr-test.h" #ifndef _MPFR_H_HAVE_INTMAX_T int main (void) { return 77; } #else #define PRINT_ERROR(str) \ do { printf ("Error for %s\n", str); exit (1); } while (0) static int inexact_sign (int x) { return (x < 0) ? -1 : (x > 0); } static void check_set_uj (mpfr_prec_t pmin, mpfr_prec_t pmax, int N) { mpfr_t x, y; mpfr_prec_t p; int inex1, inex2, n; mp_limb_t limb; mpfr_inits2 (pmax, x, y, (mpfr_ptr) 0); for (p = pmin ; p < pmax ; p++) { mpfr_set_prec (x, p); mpfr_set_prec (y, p); for (n = 0 ; n < N ; n++) { /* mp_limb_t may be unsigned long long */ limb = (unsigned long) randlimb (); inex1 = mpfr_set_uj (x, limb, MPFR_RNDN); inex2 = mpfr_set_ui (y, limb, MPFR_RNDN); if (mpfr_cmp (x, y)) { printf ("ERROR for mpfr_set_uj and j=%lu and p=%lu\n", (unsigned long) limb, (unsigned long) p); printf ("X="); mpfr_dump (x); printf ("Y="); mpfr_dump (y); exit (1); } if (inexact_sign (inex1) != inexact_sign (inex2)) { printf ("ERROR for inexact(set_uj): j=%lu p=%lu\n" "Inexact1= %d Inexact2= %d\n", (unsigned long) limb, (unsigned long) p, inex1, inex2); exit (1); } } } /* Special case */ mpfr_set_prec (x, sizeof(uintmax_t)*CHAR_BIT); inex1 = mpfr_set_uj (x, UINTMAX_MAX, MPFR_RNDN); if (inex1 != 0 || mpfr_sgn(x) <= 0) PRINT_ERROR ("inexact / UINTMAX_MAX"); inex1 = mpfr_add_ui (x, x, 1, MPFR_RNDN); if (inex1 != 0 || !mpfr_powerof2_raw (x) || MPFR_EXP (x) != sizeof(uintmax_t) * CHAR_BIT + 1) PRINT_ERROR ("power of 2"); mpfr_set_uj (x, 0, MPFR_RNDN); if (!MPFR_IS_ZERO (x)) PRINT_ERROR ("Setting 0"); mpfr_clears (x, y, (mpfr_ptr) 0); } static void check_set_uj_2exp (void) { mpfr_t x; int inex; mpfr_init2 (x, sizeof(uintmax_t)*CHAR_BIT); inex = mpfr_set_uj_2exp (x, 1, 0, MPFR_RNDN); if (inex || mpfr_cmp_ui(x, 1)) PRINT_ERROR ("(1U,0)"); inex = mpfr_set_uj_2exp (x, 1024, -10, MPFR_RNDN); if (inex || mpfr_cmp_ui(x, 1)) PRINT_ERROR ("(1024U,-10)"); inex = mpfr_set_uj_2exp (x, 1024, 10, MPFR_RNDN); if (inex || mpfr_cmp_ui(x, 1024L * 1024L)) PRINT_ERROR ("(1024U,+10)"); inex = mpfr_set_uj_2exp (x, UINTMAX_MAX, 1000, MPFR_RNDN); inex |= mpfr_div_2ui (x, x, 1000, MPFR_RNDN); inex |= mpfr_add_ui (x, x, 1, MPFR_RNDN); if (inex || !mpfr_powerof2_raw (x) || MPFR_EXP (x) != sizeof(uintmax_t) * CHAR_BIT + 1) PRINT_ERROR ("(UINTMAX_MAX)"); inex = mpfr_set_uj_2exp (x, UINTMAX_MAX, MPFR_EMAX_MAX-10, MPFR_RNDN); if (inex == 0 || !mpfr_inf_p (x)) PRINT_ERROR ("Overflow"); inex = mpfr_set_uj_2exp (x, UINTMAX_MAX, MPFR_EMIN_MIN-1000, MPFR_RNDN); if (inex == 0 || !MPFR_IS_ZERO (x)) PRINT_ERROR ("Underflow"); mpfr_clear (x); } static void check_set_sj (void) { mpfr_t x; int inex; mpfr_init2 (x, sizeof(intmax_t)*CHAR_BIT-1); inex = mpfr_set_sj (x, -INTMAX_MAX, MPFR_RNDN); inex |= mpfr_add_si (x, x, -1, MPFR_RNDN); if (inex || mpfr_sgn (x) >=0 || !mpfr_powerof2_raw (x) || MPFR_EXP (x) != sizeof(intmax_t) * CHAR_BIT) PRINT_ERROR ("set_sj (-INTMAX_MAX)"); inex = mpfr_set_sj (x, 1742, MPFR_RNDN); if (inex || mpfr_cmp_ui (x, 1742)) PRINT_ERROR ("set_sj (1742)"); mpfr_clear (x); } static void check_set_sj_2exp (void) { mpfr_t x; int inex; mpfr_init2 (x, sizeof(intmax_t)*CHAR_BIT-1); inex = mpfr_set_sj_2exp (x, INTMAX_MIN, 1000, MPFR_RNDN); if (inex || mpfr_sgn (x) >=0 || !mpfr_powerof2_raw (x) || MPFR_EXP (x) != sizeof(intmax_t) * CHAR_BIT + 1000) PRINT_ERROR ("set_sj_2exp (INTMAX_MIN)"); mpfr_clear (x); } #define REXP 1024 static void test_2exp_extreme_aux (void) { mpfr_t x1, x2, y; mpfr_exp_t e, ep[1 + 8 * 5], eb[] = { MPFR_EMIN_MIN, -REXP, REXP, MPFR_EMAX_MAX, MPFR_EXP_MAX }; mpfr_flags_t flags1, flags2; int i, j, rnd, inex1, inex2; char s; ep[0] = MPFR_EXP_MIN; for (i = 0; i < numberof(eb); i++) for (j = 0; j < 8; j++) ep[1 + 8 * i + j] = eb[i] - j; mpfr_inits2 (3, x1, x2, (mpfr_ptr) 0); mpfr_init2 (y, 32); /* The cast to int is needed if numberof(ep) is of unsigned type, in which case the condition without the cast would be always false. */ for (i = -2; i < (int) numberof(ep); i++) for (j = -31; j <= 31; j++) RND_LOOP_NO_RNDF (rnd) { int sign = j < 0 ? -1 : 1; intmax_t em; if (i < 0) { em = i == -2 ? INTMAX_MIN : INTMAX_MAX; mpfr_clear_flags (); inex1 = j == 0 ? (mpfr_set_zero (x1, +1), 0) : i == -2 ? mpfr_underflow (x1, rnd == MPFR_RNDN ? MPFR_RNDZ : (mpfr_rnd_t) rnd, sign) : mpfr_overflow (x1, (mpfr_rnd_t) rnd, sign); flags1 = __gmpfr_flags; } else { em = ep[i]; /* Compute the expected value, inex and flags */ inex1 = mpfr_set_si (y, j, MPFR_RNDN); MPFR_ASSERTN (inex1 == 0); inex1 = mpfr_set (x1, y, (mpfr_rnd_t) rnd); /* x1 is the rounded value and inex1 the ternary value, assuming that the exponent argument is 0 (this is the rounded significand of the final result, assuming an unbounded exponent range). The multiplication by a power of 2 is exact, unless underflow/overflow occurs. The tests on the exponent below avoid integer overflows (ep[i] may take extreme values). */ mpfr_clear_flags (); if (j == 0) goto zero; e = MPFR_GET_EXP (x1); if (ep[i] < __gmpfr_emin - e) /* underflow */ { mpfr_rnd_t r = (rnd == MPFR_RNDN && (ep[i] < __gmpfr_emin - MPFR_GET_EXP (y) - 1 || IS_POW2 (sign * j))) ? MPFR_RNDZ : (mpfr_rnd_t) rnd; inex1 = mpfr_underflow (x1, r, sign); flags1 = __gmpfr_flags; } else if (ep[i] > __gmpfr_emax - e) /* overflow */ { inex1 = mpfr_overflow (x1, (mpfr_rnd_t) rnd, sign); flags1 = __gmpfr_flags; } else { mpfr_set_exp (x1, ep[i] + e); zero: flags1 = inex1 != 0 ? MPFR_FLAGS_INEXACT : 0; } } /* Test mpfr_set_sj_2exp */ mpfr_clear_flags (); inex2 = mpfr_set_sj_2exp (x2, j, em, (mpfr_rnd_t) rnd); flags2 = __gmpfr_flags; if (! (flags1 == flags2 && SAME_SIGN (inex1, inex2) && mpfr_equal_p (x1, x2))) { s = 's'; goto err_extreme; } if (j < 0) continue; /* Test mpfr_set_uj_2exp */ mpfr_clear_flags (); inex2 = mpfr_set_uj_2exp (x2, j, em, (mpfr_rnd_t) rnd); flags2 = __gmpfr_flags; if (! (flags1 == flags2 && SAME_SIGN (inex1, inex2) && mpfr_equal_p (x1, x2))) { s = 'u'; err_extreme: printf ("Error in extreme mpfr_set_%cj_2exp for i=%d j=%d %s\n", s, i, j, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); printf ("emin=%" MPFR_EXP_FSPEC "d " "emax=%" MPFR_EXP_FSPEC "d\n", (mpfr_eexp_t) __gmpfr_emin, (mpfr_eexp_t) __gmpfr_emax); #ifndef NPRINTF_J printf ("e = %jd\n", em); #endif printf ("Expected "); mpfr_dump (x1); printf ("with inex = %d and flags =", inex1); flags_out (flags1); printf ("Got "); mpfr_dump (x2); printf ("with inex = %d and flags =", inex2); flags_out (flags2); exit (1); } } mpfr_clears (x1, x2, y, (mpfr_ptr) 0); } static void test_2exp_extreme (void) { mpfr_exp_t emin, emax; emin = mpfr_get_emin (); emax = mpfr_get_emax (); set_emin (MPFR_EMIN_MIN); set_emax (MPFR_EMAX_MAX); test_2exp_extreme_aux (); set_emin (-REXP); set_emax (REXP); test_2exp_extreme_aux (); set_emin (emin); set_emax (emax); } int main (int argc, char *argv[]) { tests_start_mpfr (); check_set_uj (2, 128, 50); check_set_uj_2exp (); check_set_sj (); check_set_sj_2exp (); test_2exp_extreme (); tests_end_mpfr (); return 0; } #endif