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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
391 lines
12 KiB
C
391 lines
12 KiB
C
/* Test file for mpfr_cmp2.
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Copyright 1999-2003, 2006-2018 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 "mpfr-test.h"
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/* set bit n of x to b, where bit 0 is the most significant one */
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static void
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set_bit (mpfr_t x, unsigned int n, int b)
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{
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unsigned l;
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mp_size_t xn;
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xn = (MPFR_PREC(x) - 1) / mp_bits_per_limb;
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l = n / mp_bits_per_limb;
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n %= mp_bits_per_limb;
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n = mp_bits_per_limb - 1 - n;
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if (b)
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MPFR_MANT(x)[xn - l] |= MPFR_LIMB_ONE << n;
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else
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MPFR_MANT(x)[xn - l] &= ~(MPFR_LIMB_ONE << n);
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}
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/* check that for x = 1.u 1 v 0^k low(x)
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y = 1.u 0 v 1^k low(y)
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mpfr_cmp2 (x, y) returns 1 + |u| + |v| + k for low(x) >= low(y),
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and 1 + |u| + |v| + k + 1 otherwise */
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static void
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worst_cases (void)
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{
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mpfr_t x, y;
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unsigned int i, j, k, b, expected;
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mpfr_prec_t l;
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mpfr_init2 (x, 200);
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mpfr_init2 (y, 200);
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mpfr_set_ui (y, 1, MPFR_RNDN);
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for (i = 1; i < MPFR_PREC(x); i++)
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{
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mpfr_set_ui (x, 1, MPFR_RNDN);
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mpfr_div_2exp (y, y, 1, MPFR_RNDN); /* y = 1/2^i */
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l = 0;
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if (mpfr_cmp2 (x, y, &l) <= 0 || l != 1)
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{
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printf ("Error in mpfr_cmp2:\nx=");
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mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
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printf ("\ny=");
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mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
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printf ("\ngot %lu instead of 1\n", (unsigned long) l);
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exit (1);
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}
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mpfr_add (x, x, y, MPFR_RNDN); /* x = 1 + 1/2^i */
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l = 0;
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if (mpfr_cmp2 (x, y, &l) <= 0 || l != 0)
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{
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printf ("Error in mpfr_cmp2:\nx=");
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mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
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printf ("\ny=");
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mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
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printf ("\ngot %lu instead of 0\n", (unsigned long) l);
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exit (1);
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}
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}
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for (i = 0; i < 64; i++) /* |u| = i */
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{
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mpfr_urandomb (x, RANDS);
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mpfr_set (y, x, MPFR_RNDN);
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set_bit (x, i + 1, 1);
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set_bit (y, i + 1, 0);
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for (j = 0; j < 64; j++) /* |v| = j */
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{
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b = randlimb () % 2;
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set_bit (x, i + j + 2, b);
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set_bit (y, i + j + 2, b);
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for (k = 0; k < 64; k++)
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{
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if (k)
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set_bit (x, i + j + k + 1, 0);
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if (k)
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set_bit (y, i + j + k + 1, 1);
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set_bit (x, i + j + k + 2, 1);
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set_bit (y, i + j + k + 2, 0);
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l = 0; mpfr_cmp2 (x, y, &l);
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expected = i + j + k + 1;
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if (l != expected)
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{
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printf ("Error in mpfr_cmp2:\nx=");
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mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
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printf ("\ny=");
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mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
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printf ("\ngot %lu instead of %u\n",
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(unsigned long) l, expected);
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exit (1);
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}
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set_bit (x, i + j + k + 2, 0);
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set_bit (x, i + j + k + 3, 0);
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set_bit (y, i + j + k + 3, 1);
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l = 0; mpfr_cmp2 (x, y, &l);
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expected = i + j + k + 2;
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if (l != expected)
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{
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printf ("Error in mpfr_cmp2:\nx=");
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mpfr_out_str (stdout, 2, 0, x, MPFR_RNDN);
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printf ("\ny=");
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mpfr_out_str (stdout, 2, 0, y, MPFR_RNDN);
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printf ("\ngot %lu instead of %u\n",
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(unsigned long) l, expected);
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exit (1);
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}
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}
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}
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}
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mpfr_clear (x);
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mpfr_clear (y);
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}
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static void
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tcmp2 (double x, double y, int i)
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{
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mpfr_t xx, yy;
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mpfr_prec_t j;
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if (i == -1)
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{
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if (x == y)
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i = 53;
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else
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i = (int) (__gmpfr_floor_log2 (x) - __gmpfr_floor_log2 (x - y));
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}
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mpfr_init2(xx, 53); mpfr_init2(yy, 53);
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mpfr_set_d (xx, x, MPFR_RNDN);
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mpfr_set_d (yy, y, MPFR_RNDN);
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j = 0;
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if (mpfr_cmp2 (xx, yy, &j) == 0)
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{
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if (x != y)
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{
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printf ("Error in mpfr_cmp2 for\nx=");
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mpfr_out_str (stdout, 2, 0, xx, MPFR_RNDN);
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printf ("\ny=");
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mpfr_out_str (stdout, 2, 0, yy, MPFR_RNDN);
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printf ("\ngot sign 0 for x != y\n");
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exit (1);
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}
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}
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else if (j != (unsigned) i)
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{
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printf ("Error in mpfr_cmp2 for\nx=");
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mpfr_out_str (stdout, 2, 0, xx, MPFR_RNDN);
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printf ("\ny=");
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mpfr_out_str (stdout, 2, 0, yy, MPFR_RNDN);
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printf ("\ngot %lu instead of %d\n", (unsigned long) j, i);
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exit (1);
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}
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mpfr_clear(xx); mpfr_clear(yy);
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}
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static void
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special (void)
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{
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mpfr_t x, y;
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mpfr_prec_t j;
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mpfr_init (x); mpfr_init (y);
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/* bug found by Nathalie Revol, 21 March 2001 */
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mpfr_set_prec (x, 65);
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mpfr_set_prec (y, 65);
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mpfr_set_str_binary (x, "0.10000000000000000000000000000000000001110010010110100110011110000E1");
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mpfr_set_str_binary (y, "0.11100100101101001100111011111111110001101001000011101001001010010E-35");
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j = 0;
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if (mpfr_cmp2 (x, y, &j) <= 0 || j != 1)
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{
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printf ("Error in mpfr_cmp2:\n");
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printf ("x=");
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mpfr_dump (x);
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printf ("y=");
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mpfr_dump (y);
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printf ("got %lu, expected 1\n", (unsigned long) j);
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exit (1);
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}
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mpfr_set_prec(x, 127); mpfr_set_prec(y, 127);
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mpfr_set_str_binary(x, "0.1011010000110111111000000101011110110001000101101011011110010010011110010000101101000010011001100110010000000010110000101000101E6");
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mpfr_set_str_binary(y, "0.1011010000110111111000000101011011111100011101000011001111000010100010100110110100110010011001100110010000110010010110000010110E6");
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j = 0;
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if (mpfr_cmp2(x, y, &j) <= 0 || j != 32)
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{
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printf ("Error in mpfr_cmp2:\n");
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printf ("x="); mpfr_dump (x);
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printf ("y="); mpfr_dump (y);
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printf ("got %lu, expected 32\n", (unsigned long) j);
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exit (1);
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}
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mpfr_set_prec (x, 128); mpfr_set_prec (y, 239);
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mpfr_set_str_binary (x, "0.10001000110110000111011000101011111100110010010011001101000011111010010110001000000010100110100111111011011010101100100000000000E167");
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mpfr_set_str_binary (y, "0.10001000110110000111011000101011111100110010010011001101000011111010010110001000000010100110100111111011011010101100011111111111111111111111111111111111111111111111011111100101011100011001101000100111000010000000000101100110000111111000101E167");
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j = 0;
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if (mpfr_cmp2(x, y, &j) <= 0 || j != 164)
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{
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printf ("Error in mpfr_cmp2:\n");
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printf ("x="); mpfr_dump (x);
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printf ("y="); mpfr_dump (y);
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printf ("got %lu, expected 164\n", (unsigned long) j);
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exit (1);
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}
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/* bug found by Nathalie Revol, 29 March 2001 */
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mpfr_set_prec (x, 130); mpfr_set_prec (y, 130);
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mpfr_set_str_binary (x, "0.1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E2");
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mpfr_set_str_binary (y, "0.1011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111100E2");
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j = 0;
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if (mpfr_cmp2(x, y, &j) <= 0 || j != 127)
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{
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printf ("Error in mpfr_cmp2:\n");
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printf ("x="); mpfr_dump (x);
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printf ("y="); mpfr_dump (y);
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printf ("got %lu, expected 127\n", (unsigned long) j);
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exit (1);
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}
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/* bug found by Nathalie Revol, 2 Apr 2001 */
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mpfr_set_prec (x, 65); mpfr_set_prec (y, 65);
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mpfr_set_ui (x, 5, MPFR_RNDN);
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mpfr_set_str_binary (y, "0.10011111111111111111111111111111111111111111111111111111111111101E3");
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j = 0;
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if (mpfr_cmp2(x, y, &j) <= 0 || j != 63)
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{
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printf ("Error in mpfr_cmp2:\n");
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printf ("x="); mpfr_dump (x);
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printf ("y="); mpfr_dump (y);
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printf ("got %lu, expected 63\n", (unsigned long) j);
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exit (1);
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}
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/* bug found by Nathalie Revol, 2 Apr 2001 */
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mpfr_set_prec (x, 65); mpfr_set_prec (y, 65);
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mpfr_set_str_binary (x, "0.10011011111000101001110000000000000000000000000000000000000000000E-69");
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mpfr_set_str_binary (y, "0.10011011111000101001101111111111111111111111111111111111111111101E-69");
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j = 0;
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if (mpfr_cmp2(x, y, &j) <= 0 || j != 63)
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{
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printf ("Error in mpfr_cmp2:\n");
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printf ("x="); mpfr_dump (x);
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printf ("y="); mpfr_dump (y);
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printf ("got %lu, expected 63\n", (unsigned long) j);
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exit (1);
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}
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mpfr_set_prec (x, 65);
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mpfr_set_prec (y, 32);
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mpfr_set_str_binary (x, "1.1110111011110001110111011111111111101000011001011100101100101101");
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mpfr_set_str_binary (y, "0.11101110111100011101110111111111");
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if (mpfr_cmp2 (x, y, &j) <= 0 || j != 0)
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{
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printf ("Error in mpfr_cmp2 (1)\n");
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exit (1);
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}
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mpfr_set_prec (x, 2 * GMP_NUMB_BITS);
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mpfr_set_prec (y, GMP_NUMB_BITS);
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mpfr_set_ui (x, 1, MPFR_RNDN); /* x = 1 */
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mpfr_set_ui (y, 1, MPFR_RNDN);
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mpfr_nextbelow (y); /* y = 1 - 2^(-GMP_NUMB_BITS) */
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mpfr_cmp2 (x, y, &j);
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if (mpfr_cmp2 (x, y, &j) <= 0 || j != GMP_NUMB_BITS)
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{
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printf ("Error in mpfr_cmp2 (2)\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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}
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/* Compare (m,kx) and (m,ky), where (m,k) means m fixed limbs followed by
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k zero limbs. */
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static void
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test_equal (void)
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{
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mpfr_t w, x, y;
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int m, kx, ky, inex;
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mpfr_prec_t j;
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for (m = 1; m <= 4; m++)
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{
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mpfr_init2 (w, m * GMP_NUMB_BITS);
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for (kx = 0; kx <= 4; kx++)
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for (ky = 0; ky <= 4; ky++)
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{
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do mpfr_urandomb (w, RANDS); while (mpfr_zero_p (w));
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mpfr_init2 (x, (m + kx) * GMP_NUMB_BITS
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- (kx == 0 ? 0 : randlimb () % GMP_NUMB_BITS));
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mpfr_init2 (y, (m + ky) * GMP_NUMB_BITS
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- (ky == 0 ? 0 : randlimb () % GMP_NUMB_BITS));
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inex = mpfr_set (x, w, MPFR_RNDN);
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MPFR_ASSERTN (inex == 0);
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inex = mpfr_set (y, w, MPFR_RNDN);
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MPFR_ASSERTN (inex == 0);
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MPFR_ASSERTN (mpfr_equal_p (x, y));
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if (randlimb () & 1)
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mpfr_neg (x, x, MPFR_RNDN);
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if (randlimb () & 1)
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mpfr_neg (y, y, MPFR_RNDN);
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if (mpfr_cmp2 (x, y, &j) != 0)
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{
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printf ("Error in test_equal for m = %d, kx = %d, ky = %d\n",
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m, kx, ky);
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printf (" x = ");
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mpfr_dump (x);
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printf (" y = ");
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mpfr_dump (y);
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exit (1);
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}
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mpfr_clears (x, y, (mpfr_ptr) 0);
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}
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mpfr_clear (w);
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}
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}
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int
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main (void)
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{
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int i;
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long j;
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double x, y, z;
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tests_start_mpfr ();
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mpfr_test_init ();
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worst_cases ();
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special ();
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tcmp2 (5.43885304644369510000e+185, -1.87427265794105340000e-57, 1);
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tcmp2 (1.06022698059744327881e+71, 1.05824655795525779205e+71, -1);
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tcmp2 (1.0, 1.0, 53);
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/* warning: cmp2 does not allow 0 as input */
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for (x = 0.5, i = 1; i < 54; i++)
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{
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tcmp2 (1.0, 1.0-x, i);
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x /= 2.0;
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}
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for (x = 0.5, i = 1; i < 100; i++)
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{
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tcmp2 (1.0, x, 1);
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x /= 2.0;
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}
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for (j = 0; j < 100000; j++)
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{
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x = DBL_RAND ();
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y = DBL_RAND ();
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if (x < y)
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{
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z = x;
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x = y;
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y = z;
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}
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if (y != 0.0)
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tcmp2 (x, y, -1);
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}
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test_equal ();
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tests_end_mpfr ();
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return 0;
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}
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