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974e12c1f0
Old version was 3.1.2 and is quite old: 2013-03-13 A lot has happened since then 4.0.1 is from 2018-02-07
648 lines
17 KiB
C
648 lines
17 KiB
C
/* Test file for mpfr_set_ld and mpfr_get_ld.
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Copyright 2002-2018 Free Software Foundation, Inc.
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Contributed by the AriC and Caramba projects, INRIA.
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This file is part of the GNU MPFR Library.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
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http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
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51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
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#include <float.h>
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#ifdef WITH_FPU_CONTROL
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#include <fpu_control.h>
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#endif
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#include "mpfr-test.h"
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static void
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check_gcc33_bug (void)
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{
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volatile long double x;
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x = (long double) 9007199254740992.0 + 1.0;
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if (x != 0.0)
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return; /* OK */
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printf
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("Detected optimization bug of gcc 3.3 on Alpha concerning long double\n"
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"comparisons; set_ld tests might fail (set_ld won't work correctly).\n"
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"See https://gcc.gnu.org/ml/gcc-bugs/2003-10/msg00853.html for more\n"
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"information.\n");
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}
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static int
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Isnan_ld (long double d)
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{
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/* Do not convert d to double as this can give an overflow, which
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may confuse compilers without IEEE 754 support (such as clang
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-fsanitize=undefined), or trigger a trap if enabled.
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The DOUBLE_ISNAN macro should work fine on long double. */
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if (DOUBLE_ISNAN (d))
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return 1;
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LONGDOUBLE_NAN_ACTION (d, goto yes);
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return 0;
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yes:
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return 1;
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}
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/* Return the minimal number of bits to represent d exactly (0 for zero).
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If flag is non-zero, also print d. */
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/* FIXME: This function doesn't work if the rounding precision is reduced. */
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static mpfr_prec_t
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print_binary (long double d, int flag)
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{
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long double e, f, r;
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long exp = 1;
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mpfr_prec_t prec = 0;
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if (Isnan_ld (d))
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{
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if (flag)
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printf ("NaN\n");
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return 0;
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}
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if (d < (long double) 0.0
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#if !defined(MPFR_ERRDIVZERO)
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|| (d == (long double) 0.0 && (1.0 / (double) d < 0.0))
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#endif
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)
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{
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if (flag)
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printf ("-");
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d = -d;
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}
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/* now d >= 0 */
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/* Use 2 differents tests for Inf, to avoid potential bugs
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in implementations. */
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if (Isnan_ld (d - d) || (d > 1 && d * 0.5 == d))
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{
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if (flag)
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printf ("Inf\n");
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return 0;
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}
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if (d == (long double) 0.0)
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{
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if (flag)
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printf ("0.0\n");
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return prec;
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}
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MPFR_ASSERTN (d > 0);
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e = (long double) 1.0;
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while (e > d)
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{
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e = e * (long double) 0.5;
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exp --;
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}
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if (flag == 2) printf ("1: e=%.36Le\n", e);
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MPFR_ASSERTN (d >= e);
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/* FIXME: There can be an overflow here, which may not be supported
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on all platforms. */
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while (f = e + e, d >= f)
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{
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e = f;
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exp ++;
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}
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if (flag == 2) printf ("2: e=%.36Le\n", e);
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MPFR_ASSERTN (e <= d && d < f);
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if (flag == 1)
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printf ("0.");
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if (flag == 2) printf ("3: d=%.36Le e=%.36Le prec=%ld\n", d, e,
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(long) prec);
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/* Note: the method we use here to extract the bits of d is the following,
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to deal with the case where the rounding precision is less than the
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precision of d:
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(1) we accumulate the upper bits of d into f
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(2) when accumulating a new bit into f is not exact, we subtract
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f from d and reset f to 0
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This is guaranteed to work only when the rounding precision is at least
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half the precision of d, since otherwise d-f might not be exact.
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This method does not work with flush-to-zero on underflow. */
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f = 0.0; /* will hold accumulated powers of 2 */
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while (1)
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{
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prec++;
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r = f + e;
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/* r is close to f (in particular in the cases where f+e may
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not be exact), so that r - f should be exact. */
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if (r - f != e) /* f+e is not exact */
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{
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d -= f; /* should be exact */
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f = 0.0;
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r = e;
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}
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if (d >= r)
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{
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if (flag == 1)
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printf ("1");
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if (d == r)
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break;
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f = r;
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}
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else
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{
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if (flag == 1)
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printf ("0");
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}
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e *= (long double) 0.5;
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MPFR_ASSERTN (e != 0); /* may fail with flush-to-zero on underflow */
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if (flag == 2) printf ("4: d=%.36Le e=%.36Le prec=%ld\n", d, e,
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(long) prec);
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}
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if (flag == 1)
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printf ("e%ld\n", exp);
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return prec;
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}
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/* Checks that a long double converted exactly to a MPFR number, then
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converted back to a long double gives the initial value, or in other
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words, mpfr_get_ld(mpfr_set_ld(d)) = d.
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*/
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static void
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check_set_get (long double d)
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{
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mpfr_exp_t emin, emax;
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mpfr_t x;
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mpfr_prec_t prec;
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int r;
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long double e;
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int inex;
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int red;
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emin = mpfr_get_emin ();
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emax = mpfr_get_emax ();
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/* Select a precision to ensure that the conversion of d to x be exact. */
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prec = print_binary (d, 0);
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if (prec < MPFR_PREC_MIN)
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prec = MPFR_PREC_MIN;
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mpfr_init2 (x, prec);
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RND_LOOP(r)
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{
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inex = mpfr_set_ld (x, d, (mpfr_rnd_t) r);
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if (inex != 0)
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{
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printf ("Error: mpfr_set_ld should be exact (rnd = %s)\n",
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mpfr_print_rnd_mode ((mpfr_rnd_t) r));
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/* We use 36 digits here, as the maximum LDBL_MANT_DIG value
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seen in the current implementations is 113 (binary128),
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and ceil(1+113*log(2)/log(10)) = 36. But the current glibc
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implementation of printf with double-double arithmetic
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(e.g. on PowerPC) is not accurate. */
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printf (" d ~= %.36Le (output may be wrong!)\n", d);
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printf (" inex = %d\n", inex);
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if (emin >= LONG_MIN)
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printf (" emin = %ld\n", (long) emin);
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if (emax <= LONG_MAX)
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printf (" emax = %ld\n", (long) emax);
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ld_trace (" d", d);
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printf (" d = ");
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print_binary (d, 1);
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printf (" x = ");
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mpfr_dump (x);
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printf (" MPFR_LDBL_MANT_DIG=%u\n", MPFR_LDBL_MANT_DIG);
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printf (" prec=%lu\n", prec);
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print_binary (d, 2);
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exit (1);
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}
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for (red = 0; red < 2; red++)
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{
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if (red)
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{
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mpfr_exp_t ex;
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if (MPFR_IS_SINGULAR (x))
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break;
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ex = MPFR_GET_EXP (x);
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set_emin (ex);
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set_emax (ex);
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}
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e = mpfr_get_ld (x, (mpfr_rnd_t) r);
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set_emin (emin);
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set_emax (emax);
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if (inex == 0 && ((Isnan_ld(d) && ! Isnan_ld(e)) ||
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(Isnan_ld(e) && ! Isnan_ld(d)) ||
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(e != d && !(Isnan_ld(e) && Isnan_ld(d)))))
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{
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printf ("Error: mpfr_get_ld o mpfr_set_ld <> Id%s\n",
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red ? ", reduced exponent range" : "");
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printf (" rnd = %s\n", mpfr_print_rnd_mode ((mpfr_rnd_t) r));
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printf (" d ~= %.36Le (output may be wrong!)\n", d);
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printf (" e ~= %.36Le (output may be wrong!)\n", e);
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ld_trace (" d", d);
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printf (" x = "); mpfr_out_str (NULL, 16, 0, x, MPFR_RNDN);
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printf ("\n");
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ld_trace (" e", e);
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printf (" d = ");
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print_binary (d, 1);
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printf (" x = ");
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mpfr_dump (x);
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printf (" e = ");
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print_binary (e, 1);
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printf (" MPFR_LDBL_MANT_DIG=%u\n", MPFR_LDBL_MANT_DIG);
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#ifdef MPFR_NANISNAN
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if (Isnan_ld(d) || Isnan_ld(e))
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printf ("The reason is that NAN == NAN. Please look at the "
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"configure output\nand Section \"In case of problem\""
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" of the INSTALL file.\n");
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#endif
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exit (1);
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}
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}
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}
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mpfr_clear (x);
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}
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static void
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test_small (void)
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{
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mpfr_t x, y, z;
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long double d;
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mpfr_init2 (x, MPFR_LDBL_MANT_DIG);
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mpfr_init2 (y, MPFR_LDBL_MANT_DIG);
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mpfr_init2 (z, MPFR_LDBL_MANT_DIG);
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/* x = 11906603631607553907/2^(16381+64) */
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mpfr_set_str (x, "0.1010010100111100110000001110101101000111010110000001111101110011E-16381", 2, MPFR_RNDN);
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d = mpfr_get_ld (x, MPFR_RNDN); /* infinite loop? */
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mpfr_set_ld (y, d, MPFR_RNDN);
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mpfr_sub (z, x, y, MPFR_RNDN);
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mpfr_abs (z, z, MPFR_RNDN);
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mpfr_clear_erangeflag ();
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/* If long double = double, d should be equal to 0;
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in this case, everything is OK. */
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if (d != 0 && (mpfr_cmp_str (z, "1E-16434", 2, MPFR_RNDN) > 0 ||
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mpfr_erangeflag_p ()))
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{
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printf ("Error with x = ");
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mpfr_out_str (NULL, 10, 21, x, MPFR_RNDN);
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printf (" = ");
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mpfr_out_str (NULL, 16, 0, x, MPFR_RNDN);
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printf ("\n -> d = %.33Le", d);
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printf ("\n -> y = ");
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mpfr_out_str (NULL, 10, 21, y, MPFR_RNDN);
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printf (" = ");
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mpfr_out_str (NULL, 16, 0, y, MPFR_RNDN);
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printf ("\n -> |x-y| = ");
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mpfr_out_str (NULL, 16, 0, z, MPFR_RNDN);
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printf ("\n");
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exit (1);
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}
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mpfr_clear (x);
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mpfr_clear (y);
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mpfr_clear (z);
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}
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static void
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test_fixed_bugs (void)
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{
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mpfr_t x;
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long double l, m;
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/* bug found by Steve Kargl (2009-03-14) */
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mpfr_init2 (x, MPFR_LDBL_MANT_DIG);
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mpfr_set_ui_2exp (x, 1, -16447, MPFR_RNDN);
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mpfr_get_ld (x, MPFR_RNDN); /* an assertion failed in init2.c:50 */
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/* bug reported by Jakub Jelinek (2010-10-17)
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https://gforge.inria.fr/tracker/?func=detail&aid=11300 */
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mpfr_set_prec (x, MPFR_LDBL_MANT_DIG);
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/* l = 0x1.23456789abcdef0123456789abcdp-914L; */
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l = 8.215640181713713164092636634579e-276;
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mpfr_set_ld (x, l, MPFR_RNDN);
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m = mpfr_get_ld (x, MPFR_RNDN);
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if (m != l)
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{
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printf ("Error in get_ld o set_ld for l=%Le\n", l);
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printf ("Got m=%Le instead of l\n", m);
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exit (1);
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}
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/* another similar test which failed with extended double precision and the
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generic code for mpfr_set_ld */
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/* l = 0x1.23456789abcdef0123456789abcdp-968L; */
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l = 4.560596445887084662336528403703e-292;
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mpfr_set_ld (x, l, MPFR_RNDN);
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m = mpfr_get_ld (x, MPFR_RNDN);
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if (m != l)
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{
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printf ("Error in get_ld o set_ld for l=%Le\n", l);
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printf ("Got m=%Le instead of l\n", m);
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exit (1);
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}
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mpfr_clear (x);
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}
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static void
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check_subnormal (void)
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{
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long double d, e;
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mpfr_t x;
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d = 17.0;
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mpfr_init2 (x, MPFR_LDBL_MANT_DIG);
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while (d != 0.0)
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{
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mpfr_set_ld (x, d, MPFR_RNDN);
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e = mpfr_get_ld (x, MPFR_RNDN);
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if (e != d)
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{
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printf ("Error for mpfr_get_ld o mpfr_set_ld\n");
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printf ("d=%Le\n", d);
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printf ("x="); mpfr_dump (x);
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printf ("e=%Le\n", e);
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exit (1);
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}
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d *= 0.5;
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}
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mpfr_clear (x);
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}
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static void
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check_overflow (void)
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{
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long double d, e;
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mpfr_t x;
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int i;
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mpfr_init2 (x, MPFR_LDBL_MANT_DIG);
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for (i = 0; i < 2; i++)
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{
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d = i == 0 ? LDBL_MAX : -LDBL_MAX;
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mpfr_set_ld (x, d, MPFR_RNDN);
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mpfr_mul_2ui (x, x, 1, MPFR_RNDN);
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e = mpfr_get_ld (x, MPFR_RNDN);
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if (! DOUBLE_ISINF (e) || (i == 0 ? (e < 0) : (e > 0)))
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{
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printf ("Error in check_overflow.\n");
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printf ("d=%Le\n", d);
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printf ("x="); mpfr_dump (x);
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printf ("e=%Le\n", e);
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exit (1);
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}
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}
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mpfr_clear (x);
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}
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/* issue reported by Sisyphus on powerpc */
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static void
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test_20140212 (void)
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{
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mpfr_t fr1, fr2;
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long double ld, h, l, ld2;
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int i, c1, c2;
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mpfr_init2 (fr1, 106);
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mpfr_init2 (fr2, 2098);
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for (h = 1.0L, i = 0; i < 1023; i++)
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h *= 2.0L;
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for (l = 1.0L, i = 0; i < 1074; i++)
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l *= 0.5L;
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ld = h + l; /* rounding of 2^1023 + 2^(-1074) */
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mpfr_set_ld (fr1, ld, MPFR_RNDN);
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mpfr_set_ld (fr2, ld, MPFR_RNDN);
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c1 = mpfr_cmp_ld (fr1, ld);
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c2 = mpfr_cmp_ld (fr2, ld);
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/* If long double is binary64, then ld = fr1 = fr2 = 2^1023.
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If long double is double-double, then ld = 2^1023 + 2^(-1074),
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fr1 = 2^1023 and fr2 = 2^1023 + 2^(-1074) */
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MPFR_ASSERTN(ld == h ? (c1 == 0) : (c1 < 0));
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MPFR_ASSERTN(c2 == 0);
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ld2 = mpfr_get_ld (fr2, MPFR_RNDN);
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MPFR_ASSERTN(ld2 == ld);
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mpfr_clear (fr1);
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mpfr_clear (fr2);
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}
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/* bug reported by Walter Mascarenhas
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https://sympa.inria.fr/sympa/arc/mpfr/2016-09/msg00005.html */
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static void
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bug_20160907 (void)
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{
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#if HAVE_LDOUBLE_IEEE_EXT_LITTLE
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long double dn, ld;
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mpfr_t mp;
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long e;
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mpfr_long_double_t x;
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/* the following is the encoding of the smallest subnormal number
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for HAVE_LDOUBLE_IEEE_EXT_LITTLE */
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x.s.manl = 1;
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x.s.manh = 0;
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x.s.expl = 0;
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x.s.exph = 0;
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x.s.sign= 0;
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dn = x.ld;
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e = -16445;
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/* dn=2^e is now the smallest subnormal. */
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mpfr_init2 (mp, 64);
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mpfr_set_ui_2exp (mp, 1, e - 1, MPFR_RNDN);
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ld = mpfr_get_ld (mp, MPFR_RNDU);
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/* since mp = 2^(e-1) and ld is rounded upwards, we should have
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ld = 2^e */
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if (ld != dn)
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{
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printf ("Error, ld = %Le <> dn = %Le\n", ld, dn);
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printf ("mp=");
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mpfr_out_str (stdout, 10, 0, mp, MPFR_RNDN);
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printf ("\n");
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printf ("mp="); mpfr_dump (mp);
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exit (1);
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}
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/* check a few more numbers */
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for (e = -16446; e <= -16381; e++)
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{
|
|
mpfr_set_ui_2exp (mp, 1, e, MPFR_RNDN);
|
|
ld = mpfr_get_ld (mp, MPFR_RNDU);
|
|
mpfr_set_ld (mp, ld, MPFR_RNDU);
|
|
/* mp is 2^e rounded up, thus should be >= 2^e */
|
|
MPFR_ASSERTN(mpfr_cmp_ui_2exp (mp, 1, e) >= 0);
|
|
|
|
mpfr_set_ui_2exp (mp, 1, e, MPFR_RNDN);
|
|
ld = mpfr_get_ld (mp, MPFR_RNDD);
|
|
mpfr_set_ld (mp, ld, MPFR_RNDD);
|
|
/* mp is 2^e rounded down, thus should be <= 2^e */
|
|
if (mpfr_cmp_ui_2exp (mp, 3, e) > 0)
|
|
{
|
|
printf ("Error, expected value <= 2^%ld\n", e);
|
|
printf ("got "); mpfr_dump (mp);
|
|
exit (1);
|
|
}
|
|
}
|
|
|
|
mpfr_clear (mp);
|
|
#endif
|
|
}
|
|
|
|
int
|
|
main (int argc, char *argv[])
|
|
{
|
|
volatile long double d, e, maxp2;
|
|
mpfr_t x;
|
|
int i;
|
|
mpfr_exp_t emax;
|
|
|
|
tests_start_mpfr ();
|
|
mpfr_test_init ();
|
|
|
|
check_gcc33_bug ();
|
|
test_fixed_bugs ();
|
|
|
|
mpfr_init2 (x, MPFR_LDBL_MANT_DIG + 64);
|
|
|
|
#if !defined(MPFR_ERRDIVZERO)
|
|
/* check NaN */
|
|
mpfr_set_nan (x);
|
|
d = mpfr_get_ld (x, MPFR_RNDN);
|
|
check_set_get (d);
|
|
#endif
|
|
|
|
/* check +0.0 and -0.0 */
|
|
d = 0.0;
|
|
check_set_get (d);
|
|
d = DBL_NEG_ZERO;
|
|
check_set_get (d);
|
|
|
|
/* check that the sign of -0.0 is set */
|
|
mpfr_set_ld (x, DBL_NEG_ZERO, MPFR_RNDN);
|
|
if (MPFR_IS_POS (x))
|
|
{
|
|
#if defined(HAVE_SIGNEDZ)
|
|
printf ("Error: sign of -0.0 is not set correctly\n");
|
|
exit (1);
|
|
#else
|
|
/* Non IEEE doesn't support negative zero yet */
|
|
printf ("Warning: sign of -0.0 is not set correctly\n");
|
|
#endif
|
|
}
|
|
|
|
#if !defined(MPFR_ERRDIVZERO)
|
|
/* check +Inf */
|
|
mpfr_set_inf (x, 1);
|
|
d = mpfr_get_ld (x, MPFR_RNDN);
|
|
check_set_get (d);
|
|
|
|
/* check -Inf */
|
|
mpfr_set_inf (x, -1);
|
|
d = mpfr_get_ld (x, MPFR_RNDN);
|
|
check_set_get (d);
|
|
#endif
|
|
|
|
/* check the largest power of two */
|
|
maxp2 = 1.0;
|
|
while (maxp2 < LDBL_MAX / 2.0)
|
|
maxp2 *= 2.0;
|
|
check_set_get (maxp2);
|
|
check_set_get (-maxp2);
|
|
|
|
d = LDBL_MAX;
|
|
e = d / 2.0;
|
|
if (e != maxp2) /* false under NetBSD/x86 */
|
|
{
|
|
/* d = LDBL_MAX does not have excess precision. */
|
|
check_set_get (d);
|
|
check_set_get (-d);
|
|
}
|
|
|
|
/* check the smallest power of two */
|
|
d = 1.0;
|
|
while ((e = d / 2.0) != (long double) 0.0 && e != d)
|
|
d = e;
|
|
check_set_get (d);
|
|
check_set_get (-d);
|
|
|
|
/* check that 2^i, 2^i+1, 2^i-1 and 2^i-2^(i-2)-1 are correctly converted */
|
|
d = 1.0;
|
|
for (i = 1; i < MPFR_LDBL_MANT_DIG + 8; i++)
|
|
{
|
|
d = 2.0 * d; /* d = 2^i */
|
|
check_set_get (d);
|
|
if (d + 1.0 != d)
|
|
check_set_get (d + 1.0);
|
|
else
|
|
{
|
|
mpfr_set_ui_2exp (x, 1, i, MPFR_RNDN);
|
|
mpfr_add_ui (x, x, 1, MPFR_RNDN);
|
|
e = mpfr_get_ld (x, MPFR_RNDN);
|
|
check_set_get (e);
|
|
}
|
|
if (d - 1.0 != d)
|
|
check_set_get (d - 1.0);
|
|
else
|
|
{
|
|
mpfr_set_ui_2exp (x, 1, i, MPFR_RNDN);
|
|
mpfr_sub_ui (x, x, 1, MPFR_RNDN);
|
|
e = mpfr_get_ld (x, MPFR_RNDN);
|
|
check_set_get (e);
|
|
}
|
|
if (i < 3)
|
|
continue;
|
|
/* The following test triggers a failure in r10844 for i = 56,
|
|
with gcc -mpc64 on x86 (64-bit ABI). */
|
|
mpfr_set_ui_2exp (x, 3, i-2, MPFR_RNDN);
|
|
mpfr_sub_ui (x, x, 1, MPFR_RNDN);
|
|
e = mpfr_get_ld (x, MPFR_RNDN);
|
|
check_set_get (e);
|
|
}
|
|
|
|
for (i = 0; i < 10000; i++)
|
|
{
|
|
mpfr_urandomb (x, RANDS);
|
|
d = mpfr_get_ld (x, MPFR_RNDN);
|
|
check_set_get (d);
|
|
}
|
|
|
|
/* check with reduced emax to exercise overflow */
|
|
emax = mpfr_get_emax ();
|
|
mpfr_set_prec (x, 2);
|
|
set_emax (1);
|
|
mpfr_set_ld (x, (long double) 2.0, MPFR_RNDN);
|
|
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
|
|
for (d = (long double) 2.0, i = 0; i < 13; i++, d *= d);
|
|
/* now d = 2^8192, or an infinity (e.g. with double or double-double) */
|
|
mpfr_set_ld (x, d, MPFR_RNDN);
|
|
MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
|
|
set_emax (emax);
|
|
|
|
mpfr_clear (x);
|
|
|
|
test_small ();
|
|
|
|
check_subnormal ();
|
|
#if !defined(MPFR_ERRDIVZERO)
|
|
check_overflow ();
|
|
#endif
|
|
|
|
test_20140212 ();
|
|
bug_20160907 ();
|
|
|
|
tests_end_mpfr ();
|
|
|
|
return 0;
|
|
}
|