287 lines
6.1 KiB
C
287 lines
6.1 KiB
C
/* Test mpq_get_d and mpq_set_d
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Copyright 1991, 1993, 1994, 1996, 2000, 2001, 2002, 2003 Free Software
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Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP 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 2.1 of the License, or (at your
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option) any later version.
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The GNU MP 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 MP Library; see the file COPYING.LIB. If not, write to
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the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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MA 02110-1301, USA. */
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#include <stdio.h>
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#include <stdlib.h>
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#include "mpir.h"
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#include "gmp-impl.h"
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#include "tests.h"
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#ifndef SIZE
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#define SIZE 8
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#endif
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#define EPSIZE SIZE
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void dump(mpq_t);
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void
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mpz_intrandom2 (mpz_ptr x, gmp_randstate_t rands, mp_size_t size)
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{
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mp_size_t abs_size;
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abs_size = ABS (size);
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if (abs_size != 0)
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{
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if (x->_mp_alloc < abs_size)
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_mpz_realloc (x, abs_size);
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mpn_rrandom (x->_mp_d, rands, abs_size);
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}
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x->_mp_size = size;
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}
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void
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check_monotonic (int argc, gmp_randstate_t rands, char **argv)
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{
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mpq_t a;
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mp_size_t size;
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int reps = 100;
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int i, j;
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double last_d, new_d;
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mpq_t qlast_d, qnew_d;
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mpq_t eps;
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if (argc == 2)
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reps = atoi (argv[1]);
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/* The idea here is to test the monotonousness of mpq_get_d by adding
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numbers to the numerator and denominator. */
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mpq_init (a);
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mpq_init (eps);
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mpq_init (qlast_d);
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mpq_init (qnew_d);
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for (i = 0; i < reps; i++)
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{
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size = urandom (rands) % SIZE - SIZE/2;
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mpz_intrandom2 (mpq_numref (a), rands, size);
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do
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{
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size = urandom (rands) % SIZE - SIZE/2;
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mpz_intrandom2 (mpq_denref (a), rands, size);
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}
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while (mpz_cmp_ui (mpq_denref (a), 0) == 0);
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mpq_canonicalize (a);
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last_d = mpq_get_d (a);
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mpq_set_d (qlast_d, last_d);
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for (j = 0; j < 10; j++)
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{
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size = urandom (rands) % EPSIZE + 1;
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mpz_intrandom2 (mpq_numref (eps), rands, size);
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size = urandom (rands) % EPSIZE + 1;
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mpz_intrandom2 (mpq_denref (eps), rands, size);
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mpq_canonicalize (eps);
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mpq_add (a, a, eps);
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mpq_canonicalize (a);
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new_d = mpq_get_d (a);
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if (last_d > new_d)
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{
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printf ("\nERROR (test %d/%d): bad mpq_get_d results\n", i, j);
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printf ("last: %.16g\n", last_d);
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printf (" new: %.16g\n", new_d); dump (a);
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abort ();
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}
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mpq_set_d (qnew_d, new_d);
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MPQ_CHECK_FORMAT (qnew_d);
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if (mpq_cmp (qlast_d, qnew_d) > 0)
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{
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printf ("ERROR (test %d/%d): bad mpq_set_d results\n", i, j);
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printf ("last: %.16g\n", last_d); dump (qlast_d);
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printf (" new: %.16g\n", new_d); dump (qnew_d);
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abort ();
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}
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last_d = new_d;
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mpq_set (qlast_d, qnew_d);
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}
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}
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mpq_clear (a);
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mpq_clear (eps);
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mpq_clear (qlast_d);
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mpq_clear (qnew_d);
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}
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double
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my_ldexp (double d, int e)
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{
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for (;;)
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{
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if (e > 0)
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{
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if (e >= 16)
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{
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d *= 65536.0;
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e -= 16;
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}
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else
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{
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d *= 2.0;
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e -= 1;
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}
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}
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else if (e < 0)
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{
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if (e <= -16)
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{
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d /= 65536.0;
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e += 16;
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}
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else
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{
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d /= 2.0;
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e += 1;
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}
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}
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else
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return d;
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}
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}
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void
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check_random (int argc, gmp_randstate_t rands, char **argv)
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{
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double d, d2, nd, dd;
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mpq_t q;
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mp_limb_t rp[LIMBS_PER_DOUBLE + 1];
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int test, reps = 100000;
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int i;
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if (argc == 2)
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reps = 100 * atoi (argv[1]);
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mpq_init (q);
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for (test = 0; test < reps; test++)
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{
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mpn_rrandom (rp, rands, LIMBS_PER_DOUBLE + 1);
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d = 0.0;
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for (i = LIMBS_PER_DOUBLE - 1; i >= 0; i--)
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d = d * MP_BASE_AS_DOUBLE + rp[i];
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d = my_ldexp (d, (int) (rp[LIMBS_PER_DOUBLE] % 1000) - 500);
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mpq_set_d (q, d);
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nd = mpz_get_d (mpq_numref (q));
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dd = mpz_get_d (mpq_denref (q));
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d2 = nd / dd;
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if (d != d2)
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{
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printf ("ERROR (check_random test %d): bad mpq_set_d results\n", test);
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printf ("%.16g\n", d);
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printf ("%.16g\n", d2);
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abort ();
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}
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}
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mpq_clear (q);
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}
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void
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dump (mpq_t x)
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{
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mpz_out_str (stdout, 10, mpq_numref (x));
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printf ("/");
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mpz_out_str (stdout, 10, mpq_denref (x));
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printf ("\n");
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}
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/* Check various values 2^n and 1/2^n. */
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void
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check_onebit (void)
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{
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static const long data[] = {
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-3*GMP_NUMB_BITS-1, -3*GMP_NUMB_BITS, -3*GMP_NUMB_BITS+1,
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-2*GMP_NUMB_BITS-1, -2*GMP_NUMB_BITS, -2*GMP_NUMB_BITS+1,
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-GMP_NUMB_BITS-1, -GMP_NUMB_BITS, -GMP_NUMB_BITS+1,
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-5, -2, -1, 0, 1, 2, 5,
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GMP_NUMB_BITS-1, GMP_NUMB_BITS, GMP_NUMB_BITS+1,
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2*GMP_NUMB_BITS-1, 2*GMP_NUMB_BITS, 2*GMP_NUMB_BITS+1,
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3*GMP_NUMB_BITS-1, 3*GMP_NUMB_BITS, 3*GMP_NUMB_BITS+1,
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};
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int i, neg;
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long exp, l;
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mpq_t q;
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double got, want;
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mpq_init (q);
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for (i = 0; i < numberof (data); i++)
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{
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exp = data[i];
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mpq_set_ui (q, 1L, 1L);
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if (exp >= 0)
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mpq_mul_2exp (q, q, exp);
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else
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mpq_div_2exp (q, q, -exp);
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want = 1.0;
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for (l = 0; l < exp; l++)
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want *= 2.0;
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for (l = 0; l > exp; l--)
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want /= 2.0;
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for (neg = 0; neg <= 1; neg++)
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{
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if (neg)
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{
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mpq_neg (q, q);
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want = -want;
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}
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got = mpq_get_d (q);
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if (got != want)
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{
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printf ("mpq_get_d wrong on %s2**%ld\n", neg ? "-" : "", exp);
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mpq_trace (" q ", q);
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d_trace (" want ", want);
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d_trace (" got ", got);
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abort();
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}
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}
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}
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mpq_clear (q);
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}
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int
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main (int argc, char **argv)
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{gmp_randstate_t rands;
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tests_start ();
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gmp_randinit_default(rands);
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check_onebit ();
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check_monotonic (argc,rands, argv);
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check_random (argc,rands, argv);
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gmp_randclear(rands);
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tests_end ();
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exit (0);
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}
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