/* Test file for mpfr_get_decimal64 and mpfr_set_decimal64. Copyright 2006-2015 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 */