/* Test mpz_setbit, mpz_clrbit, mpz_tstbit. Copyright 1997, 2000-2003, 2012, 2013 Free Software Foundation, Inc. This file is part of the GNU MP Library test suite. The GNU MP Library test suite is free software; you can redistribute it and/or modify it under the terms of the GNU 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 MP Library test suite 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 General Public License for more details. You should have received a copy of the GNU General Public License along with the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */ #include #include #include "gmp.h" #include "gmp-impl.h" #include "tests.h" #ifndef SIZE #define SIZE 4 #endif void debug_mp (mpz_srcptr x, int base) { mpz_out_str (stdout, base, x); fputc ('\n', stdout); } /* exercise the case where mpz_clrbit or mpz_combit ends up extending a value like -2^(k*GMP_NUMB_BITS-1) when clearing bit k*GMP_NUMB_BITS-1. */ /* And vice-versa. */ void check_clr_extend (void) { mpz_t got, want; unsigned long i; int f; mpz_init (got); mpz_init (want); for (i = 1; i < 5; i++) { for (f = 0; f <= 1; f++) { /* lots of 1 bits in _mp_d */ mpz_set_si (got, 1L); mpz_mul_2exp (got, got, 10*GMP_NUMB_BITS); mpz_sub_ui (got, got, 1L); /* value -2^(n-1) representing ..11100..00 */ mpz_set_si (got, -1L); mpz_mul_2exp (got, got, i*GMP_NUMB_BITS-1); /* complement bit n, giving ..11000..00 which is -2^n */ if (f == 0) mpz_clrbit (got, i*GMP_NUMB_BITS-1); else mpz_combit (got, i*GMP_NUMB_BITS-1); MPZ_CHECK_FORMAT (got); mpz_set_si (want, -1L); mpz_mul_2exp (want, want, i*GMP_NUMB_BITS); if (mpz_cmp (got, want) != 0) { if (f == 0) printf ("mpz_clrbit: "); else printf ("mpz_combit: "); printf ("wrong after extension\n"); mpz_trace ("got ", got); mpz_trace ("want", want); abort (); } /* complement bit n, going back to ..11100..00 which is -2^(n-1) */ if (f == 0) mpz_setbit (got, i*GMP_NUMB_BITS-1); else mpz_combit (got, i*GMP_NUMB_BITS-1); MPZ_CHECK_FORMAT (got); mpz_set_si (want, -1L); mpz_mul_2exp (want, want, i*GMP_NUMB_BITS - 1); if (mpz_cmp (got, want) != 0) { if (f == 0) printf ("mpz_setbit: "); else printf ("mpz_combit: "); printf ("wrong after shrinking\n"); mpz_trace ("got ", got); mpz_trace ("want", want); abort (); } } } mpz_clear (got); mpz_clear (want); } void check_com_negs (void) { static const struct { unsigned long bit; mp_size_t inp_size; mp_limb_t inp_n[5]; mp_size_t want_size; mp_limb_t want_n[5]; } data[] = { { GMP_NUMB_BITS, 2, { 1, 1 }, 1, { 1 } }, { GMP_NUMB_BITS+1, 2, { 1, 1 }, 2, { 1, 3 } }, { GMP_NUMB_BITS, 2, { 0, 1 }, 2, { 0, 2 } }, { GMP_NUMB_BITS+1, 2, { 0, 1 }, 2, { 0, 3 } }, }; mpz_t inp, got, want; int i; mpz_init (got); mpz_init (want); mpz_init (inp); for (i = 0; i < numberof (data); i++) { mpz_set_n (inp, data[i].inp_n, data[i].inp_size); mpz_neg (inp, inp); mpz_set_n (want, data[i].want_n, data[i].want_size); mpz_neg (want, want); mpz_set (got, inp); mpz_combit (got, data[i].bit); if (mpz_cmp (got, want) != 0) { printf ("mpz_combit: wrong on neg data[%d]\n", i); mpz_trace ("inp ", inp); printf ("bit %lu\n", data[i].bit); mpz_trace ("got ", got); mpz_trace ("want", want); abort (); } } mpz_clear (inp); mpz_clear (got); mpz_clear (want); } /* See that mpz_tstbit matches a twos complement calculated explicitly, for various low zeros. */ void check_tstbit (void) { #define MAX_ZEROS 3 #define NUM_LIMBS 3 mp_limb_t pos[1+NUM_LIMBS+MAX_ZEROS]; mp_limb_t neg[1+NUM_LIMBS+MAX_ZEROS]; mpz_t z; unsigned long i; int zeros, low1; int got, want; mpz_init (z); for (zeros = 0; zeros <= MAX_ZEROS; zeros++) { MPN_ZERO (pos, numberof(pos)); mpn_random2 (pos+zeros, (mp_size_t) NUM_LIMBS); for (low1 = 0; low1 <= 1; low1++) { if (low1) pos[0] |= 1; refmpn_neg (neg, pos, (mp_size_t) numberof(neg)); mpz_set_n (z, neg, (mp_size_t) numberof(neg)); mpz_neg (z, z); for (i = 0; i < numberof(pos)*GMP_NUMB_BITS; i++) { got = mpz_tstbit (z, i); want = refmpn_tstbit (pos, i); if (got != want) { printf ("wrong at bit %lu, with %d zeros\n", i, zeros); printf ("z neg "); debug_mp (z, -16); mpz_set_n (z, pos, (mp_size_t) numberof(pos)); printf ("pos "); debug_mp (z, -16); mpz_set_n (z, neg, (mp_size_t) numberof(neg)); printf ("neg "); debug_mp (z, -16); exit (1); } } } } mpz_clear (z); } void check_single (void) { mpz_t x; int limb, offset, initial; unsigned long bit; mpz_init (x); for (limb = 0; limb < 4; limb++) { for (offset = (limb==0 ? 0 : -2); offset <= 2; offset++) { for (initial = 1; initial >= -1; initial--) { mpz_set_si (x, (long) initial); bit = (unsigned long) limb*GMP_LIMB_BITS + offset; mpz_clrbit (x, bit); MPZ_CHECK_FORMAT (x); if (mpz_tstbit (x, bit) != 0) { printf ("check_single(): expected 0\n"); abort (); } mpz_setbit (x, bit); MPZ_CHECK_FORMAT (x); if (mpz_tstbit (x, bit) != 1) { printf ("check_single(): expected 1\n"); abort (); } mpz_clrbit (x, bit); MPZ_CHECK_FORMAT (x); if (mpz_tstbit (x, bit) != 0) { printf ("check_single(): expected 0\n"); abort (); } mpz_combit (x, bit); MPZ_CHECK_FORMAT (x); if (mpz_tstbit (x, bit) != 1) { printf ("check_single(): expected 1\n"); abort (); } mpz_combit (x, bit); MPZ_CHECK_FORMAT (x); if (mpz_tstbit (x, bit) != 0) { printf ("check_single(): expected 0\n"); abort (); } } } } mpz_clear (x); } void check_random (int argc, char *argv[]) { mpz_t x, s0, s1, s2, s3, m; mp_size_t xsize; int i; int reps = 100000; int bit0, bit1, bit2, bit3; unsigned long int bitindex; const char *s = ""; if (argc == 2) reps = atoi (argv[1]); mpz_init (x); mpz_init (s0); mpz_init (s1); mpz_init (s2); mpz_init (s3); mpz_init (m); for (i = 0; i < reps; i++) { xsize = urandom () % (2 * SIZE) - SIZE; mpz_random2 (x, xsize); bitindex = urandom () % SIZE; mpz_set (s0, x); bit0 = mpz_tstbit (x, bitindex); mpz_setbit (x, bitindex); MPZ_CHECK_FORMAT (x); mpz_set (s1, x); bit1 = mpz_tstbit (x, bitindex); mpz_clrbit (x, bitindex); MPZ_CHECK_FORMAT (x); mpz_set (s2, x); bit2 = mpz_tstbit (x, bitindex); mpz_combit (x, bitindex); MPZ_CHECK_FORMAT (x); mpz_set (s3, x); bit3 = mpz_tstbit (x, bitindex); #define FAIL(str) do { s = str; goto fail; } while (0) if (bit1 != 1) FAIL ("bit1 != 1"); if (bit2 != 0) FAIL ("bit2 != 0"); if (bit3 != 1) FAIL ("bit3 != 1"); if (bit0 == 0) { if (mpz_cmp (s0, s1) == 0 || mpz_cmp (s0, s2) != 0 || mpz_cmp (s0, s3) == 0) abort (); } else { if (mpz_cmp (s0, s1) != 0 || mpz_cmp (s0, s2) == 0 || mpz_cmp (s0, s3) != 0) abort (); } if (mpz_cmp (s1, s2) == 0 || mpz_cmp (s1, s3) != 0) abort (); if (mpz_cmp (s2, s3) == 0) abort (); mpz_combit (x, bitindex); MPZ_CHECK_FORMAT (x); if (mpz_cmp (s2, x) != 0) abort (); mpz_clrbit (x, bitindex); MPZ_CHECK_FORMAT (x); if (mpz_cmp (s2, x) != 0) abort (); mpz_ui_pow_ui (m, 2L, bitindex); MPZ_CHECK_FORMAT (m); mpz_ior (x, s0, m); MPZ_CHECK_FORMAT (x); if (mpz_cmp (x, s3) != 0) abort (); mpz_com (m, m); MPZ_CHECK_FORMAT (m); mpz_and (x, s0, m); MPZ_CHECK_FORMAT (x); if (mpz_cmp (x, s2) != 0) abort (); } mpz_clear (x); mpz_clear (s0); mpz_clear (s1); mpz_clear (s2); mpz_clear (s3); mpz_clear (m); return; fail: printf ("%s\n", s); printf ("bitindex = %lu\n", bitindex); printf ("x = "); mpz_out_str (stdout, -16, x); printf (" hex\n"); exit (1); } int main (int argc, char *argv[]) { tests_start (); mp_trace_base = -16; check_clr_extend (); check_com_negs (); check_tstbit (); check_random (argc, argv); check_single (); tests_end (); exit (0); }