/* Test file for mpfr_get_decimal64 and mpfr_set_decimal64. Copyright 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. */ /* Needed due to the test on MPFR_WANT_DECIMAL_FLOATS */ #ifdef HAVE_CONFIG_H # include "config.h" #endif #ifdef MPFR_WANT_DECIMAL_FLOATS #include "mpfr-test.h" #ifndef DEC64_MAX # define DEC64_MAX 9.999999999999999E384dd #endif #if _MPFR_IEEE_FLOATS static void print_decimal64 (_Decimal64 d) { union mpfr_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"); } #else /* Portable version, assuming long double has at least 55 bits. Note: __STDC_WANT_IEC_60559_DFP_EXT__ or __STDC_WANT_DEC_FP__ might allow to use printf("%.15De\n", d) */ static void print_decimal64 (_Decimal64 d) { printf ("%.15Le\n", (long double) d); } #endif /* _MPFR_IEEE_FLOATS */ #define PRINT_ERR_MISC(V) \ do \ { \ printf ("Error in check_misc for %s.\n", V); \ printf (" mpfr_get_decimal64() returned: "); \ print_decimal64 (d); \ printf (" mpfr_set_decimal64() set x to: "); \ mpfr_out_str (stdout, 10, 0, x, MPFR_RNDN); \ printf (" approx.\n = "); \ mpfr_dump (x); \ exit (1); \ } \ while (0) static void check_misc (void) { mpfr_t x, y; _Decimal64 d; mpfr_init2 (x, 123); mpfr_init2 (y, 123); #if !defined(MPFR_ERRDIVZERO) 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); MPFR_ASSERTN (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); if (! mpfr_inf_p (x) || MPFR_IS_NEG (x)) PRINT_ERR_MISC ("+Inf"); 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); if (! mpfr_inf_p (x) || MPFR_IS_POS (x)) PRINT_ERR_MISC ("-Inf"); #endif 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); if (MPFR_NOTZERO (x) || MPFR_IS_NEG (x)) PRINT_ERR_MISC ("+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); if (MPFR_NOTZERO (x) || MPFR_IS_POS (x)) PRINT_ERR_MISC ("-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); if (mpfr_cmp_ui (x, 1) != 0) PRINT_ERR_MISC ("+1"); 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); if (mpfr_cmp_si (x, -1) != 0) PRINT_ERR_MISC ("-1"); 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); if (mpfr_cmp_ui (x, 2) != 0) PRINT_ERR_MISC ("2"); 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); if (mpfr_cmp_ui (x, 99) != 0) PRINT_ERR_MISC ("99"); 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); if (! mpfr_equal_p (x, y)) PRINT_ERR_MISC ("9999999999999999"); /* 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); if (! mpfr_equal_p (x, y)) PRINT_ERR_MISC ("1E-383"); /* 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); if (! mpfr_equal_p (x, y)) PRINT_ERR_MISC ("1E-398"); /* exercise case e < -1323, i.e., x < 0.5*2^(-1323) */ mpfr_set_ui_2exp (x, 1, -1324, MPFR_RNDN); mpfr_nextbelow (x); d = mpfr_get_decimal64 (x, MPFR_RNDZ); /* d should equal +0 */ mpfr_set_decimal64 (x, d, MPFR_RNDN); MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 0); /* check RNDA */ mpfr_set_ui_2exp (x, 1, -1324, MPFR_RNDN); mpfr_nextbelow (x); d = mpfr_get_decimal64 (x, MPFR_RNDA); /* d should equal 1E-398 */ mpfr_set_decimal64 (x, d, MPFR_RNDN); mpfr_set_str (y, "1E-398", 10, MPFR_RNDN); MPFR_ASSERTN(mpfr_equal_p (x, y)); /* check negative number */ mpfr_set_ui_2exp (x, 1, -1324, MPFR_RNDN); mpfr_nextbelow (x); mpfr_neg (x, x, MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDZ); /* d should equal -0 */ mpfr_set_decimal64 (x, d, MPFR_RNDN); MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 1); /* exercise case e10 < -397 */ mpfr_set_ui_2exp (x, 1, -1323, MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDN); MPFR_ASSERTN(mpfr_zero_p (x) && mpfr_signbit (x) == 0); mpfr_set_ui_2exp (x, 1, -1323, MPFR_RNDN); d = mpfr_get_decimal64 (x, MPFR_RNDU); mpfr_set_str (y, "1E-398", 10, MPFR_RNDN); mpfr_set_decimal64 (x, d, MPFR_RNDN); MPFR_ASSERTN(mpfr_equal_p (x, y)); mpfr_set_ui_2exp (x, 1, -1323, MPFR_RNDN); /* 2^(-1323) = 5.46154776930125e-399 thus should be rounded to 1E-398 */ d = mpfr_get_decimal64 (x, MPFR_RNDN); mpfr_set_str (y, "1E-398", 10, MPFR_RNDN); mpfr_set_decimal64 (x, d, MPFR_RNDN); MPFR_ASSERTN(mpfr_equal_p (x, y)); /* 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); if (! mpfr_equal_p (x, y)) PRINT_ERR_MISC ("9.9E-398"); /* largest number */ mpfr_set_str (x, "9.999999999999999E384", 10, MPFR_RNDZ); mpfr_set (y, x, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDU); if (d == DEC64_MAX) { mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); if (! mpfr_equal_p (x, y)) PRINT_ERR_MISC ("DEC64_MAX"); } else { printf ("Error in check_misc for DEC64_MAX.\n"); printf (" mpfr_get_decimal64() returned: "); print_decimal64 (d); exit (1); } mpfr_set_str (x, "-9.999999999999999E384", 10, MPFR_RNDZ); mpfr_set (y, x, MPFR_RNDZ); d = mpfr_get_decimal64 (x, MPFR_RNDA); if (d == -DEC64_MAX) { mpfr_set_ui (x, 0, MPFR_RNDZ); mpfr_set_decimal64 (x, d, MPFR_RNDZ); if (! mpfr_equal_p (x, y)) PRINT_ERR_MISC ("-DEC64_MAX"); } else { printf ("Error in check_misc for -DEC64_MAX.\n"); printf (" mpfr_get_decimal64() returned: "); print_decimal64 (d); exit (1); } 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); if (! mpfr_equal_p (x, y)) PRINT_ERR_MISC ("DEC64_MAX (2)"); 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_2ui (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_equal_p (x, y)) { printf ("Error:\n"); 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); } static void powers_of_10 (void) { mpfr_t x1, x2; _Decimal64 d[2]; int i, rnd; unsigned int neg; mpfr_inits2 (200, x1, x2, (mpfr_ptr) 0); for (i = 0, d[0] = 1, d[1] = 1; i < 150; i++, d[0] *= 10, d[1] /= 10) for (neg = 0; neg <= 3; neg++) RND_LOOP_NO_RNDF (rnd) { int inex1, inex2; mpfr_flags_t flags1, flags2; mpfr_rnd_t rx1; _Decimal64 dd; inex1 = mpfr_set_si (x1, (neg >> 1) ? -i : i, MPFR_RNDN); MPFR_ASSERTN (inex1 == 0); rx1 = (neg & 1) ? MPFR_INVERT_RND ((mpfr_rnd_t) rnd) : (mpfr_rnd_t) rnd; mpfr_clear_flags (); inex1 = mpfr_exp10 (x1, x1, rx1); flags1 = __gmpfr_flags; dd = d[neg >> 1]; if (neg & 1) { MPFR_SET_NEG (x1); inex1 = -inex1; dd = -dd; } mpfr_clear_flags (); inex2 = mpfr_set_decimal64 (x2, dd, (mpfr_rnd_t) rnd); flags2 = __gmpfr_flags; if (!(mpfr_equal_p (x1, x2) && SAME_SIGN (inex1, inex2) && flags1 == flags2)) { printf ("Error in powers_of_10 for i=%d, neg=%d, %s\n", i, neg, mpfr_print_rnd_mode ((mpfr_rnd_t) rnd)); 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, (mpfr_ptr) 0); } static void noncanonical (void) { /* The code below assumes BID. It also needs _MPFR_IEEE_FLOATS due to the use of union mpfr_ieee_double_extract. */ #if _MPFR_IEEE_FLOATS && defined(DECIMAL_BID_FORMAT) /* The volatile below avoids _Decimal64 constant propagation, which is buggy for non-canonical encoding in various GCC versions on the x86 and x86_64 targets: failure with gcc (Debian 20190719-1) 10.0.0 20190718 (experimental) [trunk revision 273586]; the MPFR test was not failing with previous GCC versions, but GCC versions 5 to 9 are also affected on the simple testcase at: https://gcc.gnu.org/bugzilla/show_bug.cgi?id=91226 */ volatile _Decimal64 d = 9999999999999999.0dd; union mpfr_ieee_double_extract x; union ieee_double_decimal64 y; MPFR_ASSERTN (sizeof (x) == 8); MPFR_ASSERTN (sizeof (y) == 8); /* test for non-canonical encoding */ y.d64 = d; memcpy (&x, &y, 8); /* if BID, we have sig=0, exp=1735, manh=231154, manl=1874919423 */ if (x.s.sig == 0 && x.s.exp == 1735 && x.s.manh == 231154 && x.s.manl == 1874919423) { mpfr_t z; mpfr_init2 (z, 54); /* 54 bits ensure z is exact, since 10^16 < 2^54 */ x.s.manl += 1; /* then the significand equals 10^16 */ memcpy (&y, &x, 8); mpfr_set_decimal64 (z, y.d64, MPFR_RNDN); if (MPFR_NOTZERO (z) || MPFR_IS_NEG (z)) { int i; printf ("Error in noncanonical on"); for (i = 0; i < 8; i++) printf (" %02X", ((unsigned char *)&y)[i]); printf ("\nExpected +0, got:\n"); mpfr_dump (z); exit (1); } mpfr_clear (z); } else printf ("Warning! Unexpected value of x in noncanonical.\n"); #endif } /* generate random sequences of 8 bytes and interpret them as _Decimal64 */ static void check_random_bytes (void) { union { _Decimal64 d; unsigned char c[8]; } x; int i; mpfr_t y; _Decimal64 e; mpfr_init2 (y, 55); /* 55 = 1 + ceil(16*log(10)/log(2)), thus ensures that if a decimal64 number is converted to a 55-bit value and back, we should get the same value */ for (i = 0; i < 100000; i++) { int j; for (j = 0; j < 8; j++) x.c[j] = randlimb () & 255; mpfr_set_decimal64 (y, x.d, MPFR_RNDN); e = mpfr_get_decimal64 (y, MPFR_RNDN); if (!mpfr_nan_p (y)) if (x.d != e) { printf ("check_random_bytes failed\n"); printf ("x.d="); print_decimal64 (x.d); printf ("y="); mpfr_dump (y); printf ("e ="); print_decimal64 (e); exit (1); } } mpfr_clear (y); } int main (int argc, char *argv[]) { int verbose = argc > 1; tests_start_mpfr (); mpfr_test_init (); if (verbose) { #ifdef DECIMAL_DPD_FORMAT printf ("Using DPD encoding\n"); #endif #ifdef DECIMAL_BID_FORMAT printf ("Using BID encoding\n"); #endif } #if !defined(MPFR_ERRDIVZERO) check_random_bytes (); #endif noncanonical (); check_misc (); check_random (); check_native (); #if !defined(MPFR_ERRDIVZERO) check_overflow (); #endif check_tiny (); powers_of_10 (); tests_end_mpfr (); return 0; } #else /* MPFR_WANT_DECIMAL_FLOATS */ int main (void) { return 77; } #endif /* MPFR_WANT_DECIMAL_FLOATS */