/* Test file for mpfr_get_decimal64 and mpfr_set_decimal64. Copyright 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. */ #ifdef MPFR_WANT_DECIMAL_FLOATS #include /* for exit */ #include "mpfr-test.h" #ifndef DEC64_MAX # define DEC64_MAX 9.999999999999999E384dd #endif /* #define DEBUG */ static void print_decimal64 (_Decimal64 d) { union ieee_double_extract x; union ieee_double_decimal64 y; unsigned int Gh, i; y.d64 = d; x.d = y.d; Gh = x.s.exp >> 6; printf ("|%d%d%d%d%d%d", x.s.sig, Gh >> 4, (Gh >> 3) & 1, (Gh >> 2) & 1, (Gh >> 1) & 1, Gh & 1); printf ("%d%d%d%d%d%d", (x.s.exp >> 5) & 1, (x.s.exp >> 4) & 1, (x.s.exp >> 3) & 1, (x.s.exp >> 2) & 1, (x.s.exp >> 1) & 1, x.s.exp & 1); for (i = 20; i > 0; i--) printf ("%d", (x.s.manh >> (i - 1)) & 1); for (i = 32; i > 0; i--) printf ("%d", (x.s.manl >> (i - 1)) & 1); printf ("|\n"); } static void check_inf_nan (void) { mpfr_t x, y; _Decimal64 d; mpfr_init2 (x, 123); mpfr_init2 (y, 123); mpfr_set_nan (x); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 1, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_nan_p (x)); mpfr_set_inf (x, 1); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 1, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_inf_p (x) && mpfr_sgn (x) > 0); mpfr_set_inf (x, -1); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 1, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_inf_p (x) && mpfr_sgn (x) < 0); mpfr_set_ui (x, 0, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 1, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp_ui (x, 0) == 0 && MPFR_SIGN (x) > 0); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_neg (x, x, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 1, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp_ui (x, 0) == 0 && MPFR_SIGN (x) < 0); mpfr_set_ui (x, 1, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp_ui (x, 1) == 0); mpfr_set_si (x, -1, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp_si (x, -1) == 0); mpfr_set_ui (x, 2, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp_ui (x, 2) == 0); mpfr_set_ui (x, 99, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp_ui (x, 99) == 0); mpfr_set_str (x, "9999999999999999", 10, MPFR_RNDZ); mpfr_set (y, x, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp (x, y) == 0); /* smallest normal number */ mpfr_set_str (x, "1E-383", 10, MPFR_RNDU); mpfr_set (y, x, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDU); ASSERT_ALWAYS (mpfr_cmp (x, y) == 0); /* smallest subnormal number */ mpfr_set_str (x, "1E-398", 10, MPFR_RNDU); mpfr_set (y, x, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDU); ASSERT_ALWAYS (mpfr_cmp (x, y) == 0); /* subnormal number with exponent change when we round back from 16 digits to 1 digit */ mpfr_set_str (x, "9.9E-398", 10, MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDU); /* should be 1E-397 */ mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDD); mpfr_set_str (y, "1E-397", 10, MPFR_RNDN); ASSERT_ALWAYS (mpfr_cmp (x, y) == 0); /* largest number */ mpfr_set_str (x, "9.999999999999999E384", 10, MPFR_RNDZ); mpfr_set (y, x, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDU); ASSERT_ALWAYS (d == DEC64_MAX); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp (x, y) == 0); mpfr_set_str (x, "-9.999999999999999E384", 10, MPFR_RNDZ); mpfr_set (y, x, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDA); ASSERT_ALWAYS (d == -DEC64_MAX); mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); ASSERT_ALWAYS (mpfr_cmp (x, y) == 0); mpfr_set_prec (x, 53); mpfr_set_prec (y, 53); /* largest number */ mpfr_set_str (x, "9.999999999999999E384", 10, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_decimal64 (y, d, MPFR_RNDU); ASSERT_ALWAYS (mpfr_cmp (x, y) == 0); mpfr_clear (x); mpfr_clear (y); } static void check_random (void) { mpfr_t x, y; _Decimal64 d; int i; mpfr_init2 (x, 49); mpfr_init2 (y, 49); for (i = 0; i < 100000; i++) { mpfr_urandomb (x, RANDS); /* 0 <= x < 1 */ /* the normal decimal64 range contains [2^(-1272), 2^1278] */ mpfr_mul_2si (x, x, (i % 2550) - 1272, MPFR_RNDN); if (mpfr_get_exp (x) <= -1272) mpfr_mul_2exp (x, x, -1271 - mpfr_get_exp (x), MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDN); mpfr_set_decimal64 (y, d, MPFR_RNDN); if (mpfr_cmp (x, y) != 0) { printf ("x="); mpfr_dump (x); printf ("d="); print_decimal64 (d); printf ("y="); mpfr_dump (y); exit (1); } } mpfr_clear (x); mpfr_clear (y); } /* check with native decimal formats */ static void check_native (void) { mpfr_t x; _Decimal64 d; mpfr_init2 (x, 53); /* check important constants are correctly converted */ mpfr_set_ui (x, 17, MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDN); MPFR_ASSERTN(d == 17.0dd); mpfr_set_ui (x, 42, MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDN); MPFR_ASSERTN(d == 42.0dd); mpfr_set_decimal64 (x, 17.0dd, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp_ui (x, 17) == 0); mpfr_set_decimal64 (x, 42.0dd, MPFR_RNDN); MPFR_ASSERTN(mpfr_cmp_ui (x, 42) == 0); mpfr_clear (x); } static void check_overflow (void) { mpfr_t x; int err = 0, neg, rnd; mpfr_init2 (x, 96); for (neg = 0; neg < 2; neg++) RND_LOOP (rnd) { _Decimal64 d, e; mpfr_rnd_t r = (mpfr_rnd_t) rnd; int sign = neg ? -1 : 1; e = sign * (MPFR_IS_LIKE_RNDZ (r, neg) ? 1 : 2) * DEC64_MAX; /* This tests the binary exponent e > 1279 case of get_d64.c */ mpfr_set_si_2exp (x, sign, 9999, MPFR_RNDN); d = mpfr_get_decimal64 (x, r); if (d != e) { printf ("Error 1 in check_overflow for %s, %s\n", neg ? "negative" : "positive", mpfr_print_rnd_mode (r)); err = 1; } /* This tests the decimal exponent e > 385 case of get_d64.c */ mpfr_set_si_2exp (x, sign * 31, 1274, MPFR_RNDN); d = mpfr_get_decimal64 (x, r); if (d != e) { printf ("Error 2 in check_overflow for %s, %s\n", neg ? "negative" : "positive", mpfr_print_rnd_mode (r)); err = 1; } /* This tests the last else (-382 <= e <= 385) of get_d64.c */ mpfr_set_decimal64 (x, e, MPFR_RNDA); d = mpfr_get_decimal64 (x, r); if (d != e) { printf ("Error 3 in check_overflow for %s, %s\n", neg ? "negative" : "positive", mpfr_print_rnd_mode (r)); err = 1; } } mpfr_clear (x); if (err) exit (1); } static void check_tiny (void) { mpfr_t x; _Decimal64 d; /* If 0.5E-398 < |x| < 1E-398 (smallest subnormal), x should round to +/- 1E-398 in MPFR_RNDN. Note: the midpoint 0.5E-398 between 0 and 1E-398 is not a representable binary number, so that there are no tests for it. */ mpfr_init2 (x, 128); mpfr_set_str (x, "1E-398", 10, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDN); MPFR_ASSERTN (d == 1.0E-398dd); mpfr_neg (x, x, MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDN); MPFR_ASSERTN (d == -1.0E-398dd); mpfr_set_str (x, "0.5E-398", 10, MPFR_RNDU); d = mpfr_get_decimal64 (x, MPFR_RNDN); MPFR_ASSERTN (d == 1.0E-398dd); mpfr_neg (x, x, MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDN); MPFR_ASSERTN (d == -1.0E-398dd); mpfr_clear (x); } int main (void) { tests_start_mpfr (); mpfr_test_init (); #ifdef DEBUG #ifdef DPD_FORMAT printf ("Using DPD format\n"); #else printf ("Using BID format\n"); #endif #endif check_inf_nan (); check_random (); check_native (); check_overflow (); check_tiny (); tests_end_mpfr (); return 0; } #else /* MPFR_WANT_DECIMAL_FLOATS */ int main (void) { return 77; } #endif /* MPFR_WANT_DECIMAL_FLOATS */