void
dump_abort (mpz_t dividend, mpz_t divisor)
{
fprintf (stderr, "ERROR\n");
fprintf (stderr, "dividend = "); debug_mp (dividend, -16);
fprintf (stderr, "divisor = "); debug_mp (divisor, -16);
abort();
}
void
dump_abort (int testnr, mpz_t op1, mpz_t op2)
{
fprintf (stderr, "ERROR in test %d\n", testnr);
fprintf (stderr, "op1 = "); debug_mp (op1, -16);
fprintf (stderr, "op2 = "); debug_mp (op2, -16);
abort();
}
void
dump_abort (mpz_t x2, mpz_t x, mpz_t rem)
{
fprintf (stderr, "ERROR\n");
fprintf (stderr, "x2 = "); debug_mp (x2, -16);
fprintf (stderr, "x = "); debug_mp (x, -16);
fprintf (stderr, "remainder = "); debug_mp (rem, -16);
abort();
}
void
dump_abort (mpz_t dividend, mpz_t divisor)
{
fprintf (stderr, "ERROR\n");
printf("nn = %ld, dn = %ld\n", mpz_size(dividend), mpz_size(divisor));
fprintf (stderr, "dividend = "); debug_mp (dividend, -16);
fprintf (stderr, "divisor = "); debug_mp (divisor, -16);
abort();
}
void
dump_abort (int i, const char *s, mpz_t op1, mpz_t op2)
{
fprintf (stderr, "ERROR: %s in test %d\n", s, i);
fprintf (stderr, "op1 = ");
debug_mp (op1, -16);
fprintf (stderr, "op2 = ");
debug_mp (op2, -16);
abort();
}
void
dump_abort (int i, char *s,
mpz_t op1, mpz_t op2, mpz_t product, mpz_t ref_product)
{
fprintf (stderr, "ERROR: %s in test %d\n", s, i);
fprintf (stderr, "op1 = "); debug_mp (op1);
fprintf (stderr, "op2 = "); debug_mp (op2);
fprintf (stderr, " product = "); debug_mp (product);
fprintf (stderr, "ref_product = "); debug_mp (ref_product);
abort();
}
/* 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, NUM_LIMBS);
for (low1 = 0; low1 <= 1; low1++)
{
if (low1)
pos[0] |= 1;
refmpn_neg_n (neg, pos, numberof(neg));
mpz_set_n (z, neg, 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, numberof(pos));
printf ("pos "); debug_mp (z, -16);
mpz_set_n (z, neg, numberof(neg));
printf ("neg "); debug_mp (z, -16);
exit (1);
}
}
}
}
mpz_clear (z);
}
void
dump_abort (char *str, mpz_t dividend, unsigned long divisor)
{
fprintf (stderr, "ERROR: %s\n", str);
fprintf (stderr, "dividend = "); debug_mp (dividend, -16);
fprintf (stderr, "divisor = %lX\n", divisor);
abort();
}
void
dump_abort (int i, char *s,
mpz_t op1, mpz_t op2, mpz_t product, mpz_t ref_product)
{
mp_size_t b, e;
fprintf (stderr, "ERROR: %s in test %d\n", s, i);
fprintf (stderr, "op1 = "); debug_mp (op1);
fprintf (stderr, "op2 = "); debug_mp (op2);
fprintf (stderr, " product = "); debug_mp (product);
fprintf (stderr, "ref_product = "); debug_mp (ref_product);
for (b = 0; b < ABSIZ(ref_product); b++)
if (PTR(ref_product)[b] != PTR(product)[b])
break;
for (e = ABSIZ(ref_product) - 1; e >= 0; e--)
if (PTR(ref_product)[e] != PTR(product)[e])
break;
printf ("ERRORS in %ld--%ld\n", b, e);
abort();
}
void special_tests(void)
{
mpz_t n, d, q, q2, r;
mpz_init(n); mpz_init(d);
mpz_init(q); mpz_init(q2); mpz_init(r);
gmp_sscanf("7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "%Zx", n);
gmp_sscanf("20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "%Zx", d);
mpz_tdiv_q(q, n, d);
mpz_tdiv_qr(q2, r, n, d);
if (mpz_cmp(q, q2) != 0)
{
fprintf (stderr, "ERROR\n");
fprintf (stderr, "dividend = "); debug_mp (n, -16);
fprintf (stderr, "divisor = "); debug_mp (d, -16);
fprintf (stderr, "q1 = "); debug_mp (q, -16);
fprintf (stderr, "q2 = "); debug_mp (q2, -16);
abort();
}
gmp_sscanf("3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "%Zx", n);
gmp_sscanf("400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "%Zx", d);
mpz_tdiv_q(q, n, d);
mpz_tdiv_qr(q2, r, n, d);
if (mpz_cmp(q, q2) != 0)
{
fprintf (stderr, "ERROR\n");
fprintf (stderr, "dividend = "); debug_mp (n, -16);
fprintf (stderr, "divisor = "); debug_mp (d, -16);
fprintf (stderr, "q1 = "); debug_mp (q, -16);
fprintf (stderr, "q2 = "); debug_mp (q2, -16);
abort();
}
mpz_clear(n); mpz_clear(d);
mpz_clear(q); mpz_clear(q2); mpz_clear(r);
}
static int
hgcd_appr_valid_p (mpz_t a, mpz_t b, mp_size_t res0,
struct hgcd_ref *ref, mpz_t ref_r0, mpz_t ref_r1,
mp_size_t res1, struct hgcd_matrix *hgcd)
{
mp_size_t n = MAX (mpz_size (a), mpz_size (b));
mp_size_t s = n/2 + 1;
mp_bitcnt_t dbits, abits, margin;
mpz_t appr_r0, appr_r1, t, q;
struct hgcd_ref appr;
if (!res0)
{
if (!res1)
return 1;
fprintf (stderr, "mpn_hgcd_appr returned 1 when no reduction possible.\n");
return 0;
}
/* NOTE: No *_clear calls on error return, since we're going to
abort anyway. */
mpz_init (t);
mpz_init (q);
hgcd_ref_init (&appr);
mpz_init (appr_r0);
mpz_init (appr_r1);
if (mpz_size (ref_r0) <= s)
{
fprintf (stderr, "ref_r0 too small!!!: "); debug_mp (ref_r0, 16);
return 0;
}
if (mpz_size (ref_r1) <= s)
{
fprintf (stderr, "ref_r1 too small!!!: "); debug_mp (ref_r1, 16);
return 0;
}
mpz_sub (t, ref_r0, ref_r1);
dbits = mpz_sizeinbase (t, 2);
if (dbits > s*GMP_NUMB_BITS)
{
fprintf (stderr, "ref |r0 - r1| too large!!!: "); debug_mp (t, 16);
return 0;
}
if (!res1)
{
mpz_set (appr_r0, a);
mpz_set (appr_r1, b);
}
else
{
unsigned i;
for (i = 0; i<2; i++)
{
unsigned j;
for (j = 0; j<2; j++)
{
mp_size_t mn = hgcd->n;
MPN_NORMALIZE (hgcd->p[i][j], mn);
mpz_realloc (appr.m[i][j], mn);
MPN_COPY (PTR (appr.m[i][j]), hgcd->p[i][j], mn);
SIZ (appr.m[i][j]) = mn;
}
}
mpz_mul (appr_r0, appr.m[1][1], a);
mpz_mul (t, appr.m[0][1], b);
mpz_sub (appr_r0, appr_r0, t);
if (mpz_sgn (appr_r0) <= 0
|| mpz_size (appr_r0) <= s)
{
fprintf (stderr, "appr_r0 too small: "); debug_mp (appr_r0, 16);
return 0;
}
mpz_mul (appr_r1, appr.m[1][0], a);
mpz_mul (t, appr.m[0][0], b);
mpz_sub (appr_r1, t, appr_r1);
if (mpz_sgn (appr_r1) <= 0
|| mpz_size (appr_r1) <= s)
{
fprintf (stderr, "appr_r1 too small: "); debug_mp (appr_r1, 16);
return 0;
}
}
mpz_sub (t, appr_r0, appr_r1);
abits = mpz_sizeinbase (t, 2);
if (abits < dbits)
{
fprintf (stderr, "|r0 - r1| too small: "); debug_mp (t, 16);
return 0;
}
/* We lose one bit each time we discard the least significant limbs.
For the lehmer code, that can happen at most s * (GMP_NUMB_BITS)
/ (GMP_NUMB_BITS - 1) times. For the dc code, we lose an entire
limb (or more?) for each level of recursion. */
margin = (n/2+1) * GMP_NUMB_BITS / (GMP_NUMB_BITS - 1);
{
mp_size_t rn;
for (rn = n; ABOVE_THRESHOLD (rn, HGCD_APPR_THRESHOLD); rn = (rn + 1)/2)
margin += GMP_NUMB_BITS;
}
if (verbose_flag && abits > dbits)
fprintf (stderr, "n = %u: sbits = %u: ref #(r0-r1): %u, appr #(r0-r1): %u excess: %d, margin: %u\n",
(unsigned) n, (unsigned) s*GMP_NUMB_BITS,
(unsigned) dbits, (unsigned) abits,
(int) abits - s * GMP_NUMB_BITS, (unsigned) margin);
if (abits > s*GMP_NUMB_BITS + margin)
{
fprintf (stderr, "appr |r0 - r1| much larger than minimal (by %u bits, margin = %u bits)\n",
(unsigned) (abits - s*GMP_NUMB_BITS), (unsigned) margin);
return 0;
}
while (mpz_cmp (appr_r0, ref_r0) > 0 || mpz_cmp (appr_r1, ref_r1) > 0)
{
ASSERT (mpz_size (appr_r0) > s);
ASSERT (mpz_size (appr_r1) > s);
if (mpz_cmp (appr_r0, appr_r1) > 0)
{
if (!sdiv_qr (q, appr_r0, s, appr_r0, appr_r1))
break;
mpz_addmul (appr.m[0][1], q, appr.m[0][0]);
mpz_addmul (appr.m[1][1], q, appr.m[1][0]);
}
else
{
if (!sdiv_qr (q, appr_r1, s, appr_r1, appr_r0))
break;
mpz_addmul (appr.m[0][0], q, appr.m[0][1]);
mpz_addmul (appr.m[1][0], q, appr.m[1][1]);
}
}
if (mpz_cmp (appr_r0, ref_r0) != 0
|| mpz_cmp (appr_r1, ref_r1) != 0
|| !hgcd_ref_equal (ref, &appr))
{
fprintf (stderr, "appr_r0: "); debug_mp (appr_r0, 16);
fprintf (stderr, "ref_r0: "); debug_mp (ref_r0, 16);
fprintf (stderr, "appr_r1: "); debug_mp (appr_r1, 16);
fprintf (stderr, "ref_r1: "); debug_mp (ref_r1, 16);
return 0;
}
mpz_clear (t);
mpz_clear (q);
hgcd_ref_clear (&appr);
mpz_clear (appr_r0);
mpz_clear (appr_r1);
return 1;
}
void
check_one (mpz_t root1, mpz_t x2, unsigned long nth, int i)
{
mpz_t temp, temp2;
mpz_t root2, rem2;
mpz_init (root2);
mpz_init (rem2);
mpz_init (temp);
mpz_init (temp2);
MPZ_CHECK_FORMAT (root1);
mpz_rootrem (root2, rem2, x2, nth);
MPZ_CHECK_FORMAT (root2);
MPZ_CHECK_FORMAT (rem2);
mpz_pow_ui (temp, root1, nth);
MPZ_CHECK_FORMAT (temp);
mpz_add (temp2, temp, rem2);
/* Is power of result > argument? */
if (mpz_cmp (root1, root2) != 0 || mpz_cmp (x2, temp2) != 0 || mpz_cmpabs (temp, x2) > 0)
{
fprintf (stderr, "ERROR after test %d\n", i);
debug_mp (x2, 10);
debug_mp (root1, 10);
debug_mp (root2, 10);
fprintf (stderr, "nth: %lu\n", nth);
abort ();
}
if (nth > 1 && mpz_cmp_ui (temp, 1L) > 0 && ! mpz_perfect_power_p (temp))
{
fprintf (stderr, "ERROR in mpz_perfect_power_p after test %d\n", i);
debug_mp (temp, 10);
debug_mp (root1, 10);
fprintf (stderr, "nth: %lu\n", nth);
abort ();
}
if (nth <= 10000 && mpz_sgn(x2) > 0) /* skip too expensive test */
{
mpz_add_ui (temp2, root1, 1L);
mpz_pow_ui (temp2, temp2, nth);
MPZ_CHECK_FORMAT (temp2);
/* Is square of (result + 1) <= argument? */
if (mpz_cmp (temp2, x2) <= 0)
{
fprintf (stderr, "ERROR after test %d\n", i);
debug_mp (x2, 10);
debug_mp (root1, 10);
fprintf (stderr, "nth: %lu\n", nth);
abort ();
}
}
mpz_clear (root2);
mpz_clear (rem2);
mpz_clear (temp);
mpz_clear (temp2);
}
int
main (int argc, char **argv)
{
mpz_t op1, op2, temp1, temp2;
int i, j, chain_len;
gmp_randstate_ptr rands;
mpz_t bs;
unsigned long size_range;
tests_start ();
rands = RANDS;
mpz_init (bs);
mpz_init (op1);
mpz_init (op2);
mpz_init (temp1);
mpz_init (temp2);
for (i = 0; hgcd_values[i].res >= 0; i++)
{
mp_size_t res;
mpz_set_str (op1, hgcd_values[i].a, 0);
mpz_set_str (op2, hgcd_values[i].b, 0);
res = one_test (op1, op2, -1-i);
if (res != hgcd_values[i].res)
{
fprintf (stderr, "ERROR in test %d\n", -1-i);
fprintf (stderr, "Bad return code from hgcd\n");
fprintf (stderr, "op1="); debug_mp (op1, -16);
fprintf (stderr, "op2="); debug_mp (op2, -16);
fprintf (stderr, "expected: %d\n", hgcd_values[i].res);
fprintf (stderr, "hgcd: %d\n", (int) res);
abort ();
}
}
for (i = 0; i < 15; i++)
{
/* Generate plain operands with unknown gcd. These types of operands
have proven to trigger certain bugs in development versions of the
gcd code. The "hgcd->row[3].rsize > M" ASSERT is not triggered by
the division chain code below, but that is most likely just a result
of that other ASSERTs are triggered before it. */
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % 13 + 2;
mpz_urandomb (bs, rands, size_range);
mpz_urandomb (op1, rands, mpz_get_ui (bs) + MIN_OPERAND_SIZE);
mpz_urandomb (bs, rands, size_range);
mpz_urandomb (op2, rands, mpz_get_ui (bs) + MIN_OPERAND_SIZE);
if (mpz_cmp (op1, op2) < 0)
mpz_swap (op1, op2);
if (mpz_size (op1) > 0)
one_test (op1, op2, i);
/* Generate a division chain backwards, allowing otherwise
unlikely huge quotients. */
mpz_set_ui (op1, 0);
mpz_urandomb (bs, rands, 32);
mpz_urandomb (bs, rands, mpz_get_ui (bs) % 16 + 1);
mpz_rrandomb (op2, rands, mpz_get_ui (bs));
mpz_add_ui (op2, op2, 1);
#if 0
chain_len = 1000000;
#else
mpz_urandomb (bs, rands, 32);
chain_len = mpz_get_ui (bs) % (GMP_NUMB_BITS * GCD_DC_THRESHOLD / 256);
#endif
for (j = 0; j < chain_len; j++)
{
mpz_urandomb (bs, rands, 32);
mpz_urandomb (bs, rands, mpz_get_ui (bs) % 12 + 1);
mpz_rrandomb (temp2, rands, mpz_get_ui (bs) + 1);
mpz_add_ui (temp2, temp2, 1);
mpz_mul (temp1, op2, temp2);
mpz_add (op1, op1, temp1);
/* Don't generate overly huge operands. */
if (SIZ (op1) > 3 * GCD_DC_THRESHOLD)
break;
mpz_urandomb (bs, rands, 32);
mpz_urandomb (bs, rands, mpz_get_ui (bs) % 12 + 1);
mpz_rrandomb (temp2, rands, mpz_get_ui (bs) + 1);
mpz_add_ui (temp2, temp2, 1);
mpz_mul (temp1, op1, temp2);
mpz_add (op2, op2, temp1);
/* Don't generate overly huge operands. */
if (SIZ (op2) > 3 * GCD_DC_THRESHOLD)
break;
}
if (mpz_cmp (op1, op2) < 0)
mpz_swap (op1, op2);
if (mpz_size (op1) > 0)
one_test (op1, op2, i);
}
mpz_clear (bs);
mpz_clear (op1);
mpz_clear (op2);
mpz_clear (temp1);
mpz_clear (temp2);
tests_end ();
exit (0);
}
static mp_size_t
one_test (mpz_t a, mpz_t b, int i)
{
struct hgcd_matrix hgcd;
struct hgcd_ref ref;
mpz_t ref_r0;
mpz_t ref_r1;
mpz_t hgcd_r0;
mpz_t hgcd_r1;
mp_size_t res[2];
mp_size_t asize;
mp_size_t bsize;
mp_size_t hgcd_init_scratch;
mp_size_t hgcd_scratch;
mp_ptr hgcd_init_tp;
mp_ptr hgcd_tp;
asize = a->_mp_size;
bsize = b->_mp_size;
ASSERT (asize >= bsize);
hgcd_init_scratch = MPN_HGCD_MATRIX_INIT_ITCH (asize);
hgcd_init_tp = refmpn_malloc_limbs (hgcd_init_scratch);
mpn_hgcd_matrix_init (&hgcd, asize, hgcd_init_tp);
hgcd_scratch = mpn_hgcd_itch (asize);
hgcd_tp = refmpn_malloc_limbs (hgcd_scratch);
#if 0
fprintf (stderr,
"one_test: i = %d asize = %d, bsize = %d\n",
i, a->_mp_size, b->_mp_size);
gmp_fprintf (stderr,
"one_test: i = %d\n"
" a = %Zx\n"
" b = %Zx\n",
i, a, b);
#endif
hgcd_ref_init (&ref);
mpz_init_set (ref_r0, a);
mpz_init_set (ref_r1, b);
res[0] = hgcd_ref (&ref, ref_r0, ref_r1);
mpz_init_set (hgcd_r0, a);
mpz_init_set (hgcd_r1, b);
if (bsize < asize)
{
_mpz_realloc (hgcd_r1, asize);
MPN_ZERO (hgcd_r1->_mp_d + bsize, asize - bsize);
}
res[1] = mpn_hgcd (hgcd_r0->_mp_d,
hgcd_r1->_mp_d,
asize,
&hgcd, hgcd_tp);
if (res[0] != res[1])
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "Different return value from hgcd and hgcd_ref\n");
fprintf (stderr, "op1="); debug_mp (a, -16);
fprintf (stderr, "op2="); debug_mp (b, -16);
fprintf (stderr, "hgcd_ref: %ld\n", (long) res[0]);
fprintf (stderr, "mpn_hgcd: %ld\n", (long) res[1]);
abort ();
}
if (res[0] > 0)
{
if (!hgcd_ref_equal (&hgcd, &ref)
|| !mpz_mpn_equal (ref_r0, hgcd_r0->_mp_d, res[1])
|| !mpz_mpn_equal (ref_r1, hgcd_r1->_mp_d, res[1]))
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "mpn_hgcd and hgcd_ref returned different values\n");
fprintf (stderr, "op1="); debug_mp (a, -16);
fprintf (stderr, "op2="); debug_mp (b, -16);
abort ();
}
}
refmpn_free_limbs (hgcd_init_tp);
refmpn_free_limbs (hgcd_tp);
hgcd_ref_clear (&ref);
mpz_clear (ref_r0);
mpz_clear (ref_r1);
mpz_clear (hgcd_r0);
mpz_clear (hgcd_r1);
return res[0];
}
void
one_test (mpz_t op1, mpz_t op2, mpz_t ref, int i)
{
/*
printf ("%ld %ld %ld\n", SIZ (op1), SIZ (op2), SIZ (ref));
fflush (stdout);
*/
/*
fprintf (stderr, "op1="); debug_mp (op1, -16);
fprintf (stderr, "op2="); debug_mp (op2, -16);
*/
mpz_gcdext (gcd1, s, NULL, op1, op2);
if (ref && mpz_cmp (ref, gcd1) != 0)
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "mpz_gcdext returned incorrect result\n");
fprintf (stderr, "op1="); debug_mp (op1, -16);
fprintf (stderr, "op2="); debug_mp (op2, -16);
fprintf (stderr, "expected result:\n"); debug_mp (ref, -16);
fprintf (stderr, "mpz_gcdext returns:\n");debug_mp (gcd1, -16);
abort ();
}
if (!gcdext_valid_p(op1, op2, gcd1, s))
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "mpz_gcdext returned invalid result\n");
fprintf (stderr, "op1="); debug_mp (op1, -16);
fprintf (stderr, "op2="); debug_mp (op2, -16);
fprintf (stderr, "mpz_gcdext returns:\n");debug_mp (gcd1, -16);
abort ();
}
mpz_gcd (gcd2, op1, op2);
if (mpz_cmp (gcd2, gcd1) != 0)
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "mpz_gcd returned incorrect result\n");
fprintf (stderr, "op1="); debug_mp (op1, -16);
fprintf (stderr, "op2="); debug_mp (op2, -16);
fprintf (stderr, "expected result:\n"); debug_mp (gcd1, -16);
fprintf (stderr, "mpz_gcd returns:\n"); debug_mp (gcd2, -16);
abort ();
}
/* This should probably move to t-gcd_ui.c */
if (mpz_fits_ulong_p (op1) || mpz_fits_ulong_p (op2))
{
if (mpz_fits_ulong_p (op1))
mpz_gcd_ui (gcd2, op2, mpz_get_ui (op1));
else
mpz_gcd_ui (gcd2, op1, mpz_get_ui (op2));
if (mpz_cmp (gcd2, gcd1))
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "mpz_gcd_ui returned incorrect result\n");
fprintf (stderr, "op1="); debug_mp (op1, -16);
fprintf (stderr, "op2="); debug_mp (op2, -16);
fprintf (stderr, "expected result:\n"); debug_mp (gcd1, -16);
fprintf (stderr, "mpz_gcd_ui returns:\n"); debug_mp (gcd2, -16);
abort ();
}
}
mpz_gcdext (gcd2, temp1, temp2, op1, op2);
mpz_mul (temp1, temp1, op1);
mpz_mul (temp2, temp2, op2);
mpz_add (temp1, temp1, temp2);
if (mpz_cmp (gcd1, gcd2) != 0
|| mpz_cmp (gcd2, temp1) != 0)
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "mpz_gcdext returned incorrect result\n");
fprintf (stderr, "op1="); debug_mp (op1, -16);
fprintf (stderr, "op2="); debug_mp (op2, -16);
fprintf (stderr, "expected result:\n"); debug_mp (gcd1, -16);
fprintf (stderr, "mpz_gcdext returns:\n");debug_mp (gcd2, -16);
abort ();
}
}
static mp_size_t
one_test (mpz_t a, mpz_t b, int i)
{
struct hgcd_matrix hgcd;
struct hgcd_ref ref;
mpz_t ref_r0;
mpz_t ref_r1;
mpz_t hgcd_r0;
mpz_t hgcd_r1;
int res[2];
mp_size_t asize;
mp_size_t bsize;
mp_size_t hgcd_init_scratch;
mp_size_t hgcd_scratch;
mp_ptr hgcd_init_tp;
mp_ptr hgcd_tp;
mp_limb_t marker[4];
asize = a->_mp_size;
bsize = b->_mp_size;
ASSERT (asize >= bsize);
hgcd_init_scratch = MPN_HGCD_MATRIX_INIT_ITCH (asize);
hgcd_init_tp = refmpn_malloc_limbs (hgcd_init_scratch + 2) + 1;
mpn_hgcd_matrix_init (&hgcd, asize, hgcd_init_tp);
hgcd_scratch = mpn_hgcd_appr_itch (asize);
hgcd_tp = refmpn_malloc_limbs (hgcd_scratch + 2) + 1;
mpn_random (marker, 4);
hgcd_init_tp[-1] = marker[0];
hgcd_init_tp[hgcd_init_scratch] = marker[1];
hgcd_tp[-1] = marker[2];
hgcd_tp[hgcd_scratch] = marker[3];
#if 0
fprintf (stderr,
"one_test: i = %d asize = %d, bsize = %d\n",
i, a->_mp_size, b->_mp_size);
gmp_fprintf (stderr,
"one_test: i = %d\n"
" a = %Zx\n"
" b = %Zx\n",
i, a, b);
#endif
hgcd_ref_init (&ref);
mpz_init_set (ref_r0, a);
mpz_init_set (ref_r1, b);
res[0] = hgcd_ref (&ref, ref_r0, ref_r1);
mpz_init_set (hgcd_r0, a);
mpz_init_set (hgcd_r1, b);
if (bsize < asize)
{
_mpz_realloc (hgcd_r1, asize);
MPN_ZERO (hgcd_r1->_mp_d + bsize, asize - bsize);
}
res[1] = mpn_hgcd_appr (hgcd_r0->_mp_d,
hgcd_r1->_mp_d,
asize,
&hgcd, hgcd_tp);
if (hgcd_init_tp[-1] != marker[0]
|| hgcd_init_tp[hgcd_init_scratch] != marker[1]
|| hgcd_tp[-1] != marker[2]
|| hgcd_tp[hgcd_scratch] != marker[3])
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "scratch space overwritten!\n");
if (hgcd_init_tp[-1] != marker[0])
gmp_fprintf (stderr,
"before init_tp: %Mx\n"
"expected: %Mx\n",
hgcd_init_tp[-1], marker[0]);
if (hgcd_init_tp[hgcd_init_scratch] != marker[1])
gmp_fprintf (stderr,
"after init_tp: %Mx\n"
"expected: %Mx\n",
hgcd_init_tp[hgcd_init_scratch], marker[1]);
if (hgcd_tp[-1] != marker[2])
gmp_fprintf (stderr,
"before tp: %Mx\n"
"expected: %Mx\n",
hgcd_tp[-1], marker[2]);
if (hgcd_tp[hgcd_scratch] != marker[3])
gmp_fprintf (stderr,
"after tp: %Mx\n"
"expected: %Mx\n",
hgcd_tp[hgcd_scratch], marker[3]);
abort ();
}
if (!hgcd_appr_valid_p (a, b, res[0], &ref, ref_r0, ref_r1,
res[1], &hgcd))
{
fprintf (stderr, "ERROR in test %d\n", i);
fprintf (stderr, "Invalid results for hgcd and hgcd_ref\n");
fprintf (stderr, "op1="); debug_mp (a, -16);
fprintf (stderr, "op2="); debug_mp (b, -16);
fprintf (stderr, "hgcd_ref: %ld\n", (long) res[0]);
fprintf (stderr, "mpn_hgcd_appr: %ld\n", (long) res[1]);
abort ();
}
refmpn_free_limbs (hgcd_init_tp - 1);
refmpn_free_limbs (hgcd_tp - 1);
hgcd_ref_clear (&ref);
mpz_clear (ref_r0);
mpz_clear (ref_r1);
mpz_clear (hgcd_r0);
mpz_clear (hgcd_r1);
return res[0];
}
int
main (int argc, char **argv)
{
mpq_t op1, op2;
mp_size_t size;
int i;
int reps = 10000;
FILE *fp;
int base;
gmp_randstate_ptr rands;
mpz_t bs;
unsigned long bsi, size_range;
size_t nread;
tests_start ();
rands = RANDS;
mpz_init (bs);
if (argc == 2)
reps = atoi (argv[1]);
mpq_init (op1);
mpq_init (op2);
fp = fopen (FILENAME, "w+");
for (i = 0; i < reps; i++)
{
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % 10 + 2;
mpz_urandomb (bs, rands, size_range);
size = mpz_get_ui (bs);
mpz_errandomb (mpq_numref(op1), rands, 512L);
mpz_errandomb_nonzero (mpq_denref(op1), rands, 512L);
mpq_canonicalize (op1);
mpz_urandomb (bs, rands, 1);
bsi = mpz_get_ui (bs);
if ((bsi & 1) != 0)
mpq_neg (op1, op1);
mpz_urandomb (bs, rands, 16);
bsi = mpz_get_ui (bs);
base = bsi % 36 + 1;
if (base == 1)
base = 0;
rewind (fp);
if (mpq_out_str (fp, base, op1) == 0
|| putc (' ', fp) == EOF
|| fflush (fp) != 0)
{
printf ("mpq_out_str write error\n");
abort ();
}
rewind (fp);
nread = mpq_inp_str (op2, fp, base);
if (nread == 0)
{
if (ferror (fp))
printf ("mpq_inp_str stream read error\n");
else
printf ("mpq_inp_str data conversion error\n");
abort ();
}
if (nread != ftell(fp))
{
printf ("mpq_inp_str nread doesn't match ftell\n");
printf (" nread %lu\n", (unsigned long) nread);
printf (" ftell %ld\n", ftell(fp));
abort ();
}
if (mpq_cmp (op1, op2))
{
printf ("ERROR\n");
printf ("op1 = "); debug_mp (op1, -16);
printf ("op2 = "); debug_mp (op2, -16);
printf ("base = %d\n", base);
abort ();
}
}
fclose (fp);
unlink (FILENAME);
mpz_clear (bs);
mpq_clear (op1);
mpq_clear (op2);
tests_end ();
exit (0);
}
int
main (int argc, char **argv)
{
mpz_t base, exp, mod;
mpz_t r1, r2, base2;
mp_size_t base_size, exp_size, mod_size;
unsigned long int exp2;
int i;
int reps = 100;
gmp_randstate_ptr rands;
mpz_t bs;
unsigned long bsi, size_range;
tests_start ();
rands = RANDS;
mpz_init (bs);
if (argc == 2)
reps = atoi (argv[1]);
mpz_init (base);
mpz_init (exp);
mpz_init (mod);
mpz_init (r1);
mpz_init (r2);
mpz_init (base2);
for (i = 0; i < reps; i++)
{
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % 18 + 2;
do /* Loop until mathematically well-defined. */
{
mpz_urandomb (bs, rands, size_range);
base_size = mpz_get_ui (bs);
mpz_rrandomb (base, rands, base_size);
mpz_urandomb (bs, rands, 6L);
exp_size = mpz_get_ui (bs);
mpz_rrandomb (exp, rands, exp_size);
exp2 = mpz_getlimbn (exp, (mp_size_t) 0);
}
while (mpz_cmp_ui (base, 0) == 0 && exp2 == 0);
do
{
mpz_urandomb (bs, rands, size_range);
mod_size = mpz_get_ui (bs);
mpz_rrandomb (mod, rands, mod_size);
}
while (mpz_cmp_ui (mod, 0) == 0);
mpz_urandomb (bs, rands, 2);
bsi = mpz_get_ui (bs);
if ((bsi & 1) != 0)
mpz_neg (base, base);
/* printf ("%ld %ld\n", SIZ (base), SIZ (mod)); */
#if 0
putc ('\n', stderr);
debug_mp (base, -16);
debug_mp (mod, -16);
#endif
mpz_powm_ui (r1, base, exp2, mod);
MPZ_CHECK_FORMAT (r1);
mpz_set_ui (r2, 1);
mpz_set (base2, base);
mpz_mod (r2, r2, mod); /* needed when exp==0 and mod==1 */
while (exp2 != 0)
{
if (exp2 % 2 != 0)
{
mpz_mul (r2, r2, base2);
mpz_mod (r2, r2, mod);
}
mpz_mul (base2, base2, base2);
mpz_mod (base2, base2, mod);
exp2 = exp2 / 2;
}
#if 0
debug_mp (r1, -16);
debug_mp (r2, -16);
#endif
if (mpz_cmp (r1, r2) != 0)
{
fprintf (stderr, "\ntest %d: Incorrect results for operands:\n", i);
debug_mp (base, -16);
debug_mp (exp, -16);
debug_mp (mod, -16);
fprintf (stderr, "mpz_powm_ui result:\n");
debug_mp (r1, -16);
fprintf (stderr, "reference result:\n");
debug_mp (r2, -16);
abort ();
}
}
mpz_clear (bs);
mpz_clear (base);
mpz_clear (exp);
mpz_clear (mod);
mpz_clear (r1);
mpz_clear (r2);
mpz_clear (base2);
tests_end ();
exit (0);
}
int
main (int argc, char **argv)
{
mpz_t op1, op2;
mp_size_t size;
int i;
int reps = 10000;
char *str, *buf;
int base;
gmp_randstate_ptr rands;
mpz_t bs;
unsigned long bsi, size_range;
tests_start ();
rands = RANDS;
mpz_init (bs);
if (argc == 2)
reps = atoi (argv[1]);
mpz_init (op1);
mpz_init (op2);
for (i = 0; i < reps; i++)
{
/* 1. Generate random mpz_t and convert to a string and back to mpz_t
again. */
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % 12 + 2; /* 2..13 */
mpz_urandomb (bs, rands, size_range); /* 3..8191 bits */
size = mpz_get_ui (bs);
mpz_rrandomb (op1, rands, size);
mpz_urandomb (bs, rands, 1);
bsi = mpz_get_ui (bs);
if ((bsi & 1) != 0)
mpz_neg (op1, op1);
mpz_urandomb (bs, rands, 32);
bsi = mpz_get_ui (bs);
base = bsi % 62 + 1;
if (base == 1)
base = 0;
str = mpz_get_str ((char *) 0, base, op1);
mpz_set_str_or_abort (op2, str, base);
if (mpz_cmp (op1, op2))
{
fprintf (stderr, "ERROR, op1 and op2 different in test %d\n", i);
fprintf (stderr, "str = %s\n", str);
fprintf (stderr, "base = %d\n", base);
fprintf (stderr, "op1 = ");
debug_mp (op1, -16);
fprintf (stderr, "op2 = ");
debug_mp (op2, -16);
abort ();
}
(*__gmp_free_func) (str, strlen (str) + 1);
#if 0
/* 2. Generate random string and convert to mpz_t and back to a string
again. */
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % 10 + 2; /* 2..11 */
mpz_urandomb (bs, rands, size_range); /* 3..2047 bits */
len = mpz_get_ui (bs);
buf = (*__gmp_allocate_func) (len + 1);
string_urandomb (buf, len, base);
mpz_set_str_or_abort (op1, buf, base);
str = mpz_get_str ((char *) 0, base, op1);
if (strcmp (str, buf) != 0)
{
fprintf (stderr, "ERROR, str and buf different\n");
fprintf (stderr, "str = %s\n", str);
fprintf (stderr, "buf = %s\n", buf);
fprintf (stderr, "base = %d\n", base);
fprintf (stderr, "op1 = ");
debug_mp (op1, -16);
abort ();
}
(*__gmp_free_func) (buf, len + 1);
(*__gmp_free_func) (str, strlen (str) + 1);
#endif
}
mpz_clear (bs);
mpz_clear (op1);
mpz_clear (op2);
tests_end ();
exit (0);
}
int
main (int argc, char **argv)
{
mpz_t base, exp, mod;
mpz_t r1, r2, t1, exp2, base2;
mp_size_t base_size, exp_size, mod_size;
int i;
int reps = 100;
gmp_randstate_ptr rands;
mpz_t bs;
unsigned long bsi, size_range;
tests_start ();
rands = RANDS;
mpz_init (bs);
if (argc == 2)
reps = atoi (argv[1]);
mpz_init (base);
mpz_init (exp);
mpz_init (mod);
mpz_init (r1);
mpz_init (r2);
mpz_init (t1);
mpz_init (exp2);
mpz_init (base2);
for (i = 0; i < reps; i++)
{
mpz_urandomb (bs, rands, 32);
size_range = mpz_get_ui (bs) % 13 + 2;
do /* Loop until mathematically well-defined. */
{
mpz_urandomb (bs, rands, size_range);
base_size = mpz_get_ui (bs);
mpz_rrandomb (base, rands, base_size);
mpz_urandomb (bs, rands, 7L);
exp_size = mpz_get_ui (bs);
mpz_rrandomb (exp, rands, exp_size);
}
while (mpz_cmp_ui (base, 0) == 0 && mpz_cmp_ui (exp, 0) == 0);
do
{
mpz_urandomb (bs, rands, size_range);
mod_size = mpz_get_ui (bs);
mpz_rrandomb (mod, rands, mod_size);
}
while (mpz_cmp_ui (mod, 0) == 0);
mpz_urandomb (bs, rands, 2);
bsi = mpz_get_ui (bs);
if ((bsi & 1) != 0)
mpz_neg (base, base);
/* printf ("%ld %ld %ld\n", SIZ (base), SIZ (exp), SIZ (mod)); */
mpz_powm (r1, base, exp, mod);
mpz_set_ui (r2, 1);
mpz_set (base2, base);
mpz_set (exp2, exp);
mpz_mod (r2, r2, mod); /* needed when exp==0 and mod==1 */
while (mpz_cmp_ui (exp2, 0) != 0)
{
mpz_mod_ui (t1, exp2, 2);
if (mpz_cmp_ui (t1, 0) != 0)
{
mpz_mul (r2, r2, base2);
mpz_mod (r2, r2, mod);
}
mpz_mul (base2, base2, base2);
mpz_mod (base2, base2, mod);
mpz_div_ui (exp2, exp2, 2);
}
if (mpz_cmp (r1, r2) != 0)
{
fprintf (stderr, "\nIncorrect results for operands:\n");
debug_mp (base, -16);
debug_mp (exp, -16);
debug_mp (mod, -16);
fprintf (stderr, "mpz_powm result:\n");
debug_mp (r1, -16);
fprintf (stderr, "reference result:\n");
debug_mp (r2, -16);
abort ();
}
}
mpz_clear (bs);
mpz_clear (base);
mpz_clear (exp);
mpz_clear (mod);
mpz_clear (r1);
mpz_clear (r2);
mpz_clear (t1);
mpz_clear (exp2);
mpz_clear (base2);
tests_end ();
exit (0);
}
