Fixed more bugs in sb_divappr_q.
This commit is contained in:
parent
d0067e2f3b
commit
07bbd31e1d
@ -84,6 +84,7 @@ mpn_sb_divappr_q (mp_ptr qp, mp_ptr np, mp_size_t nn,
|
||||
mp_limb_t ret, di0, di1, p1, p2, p3, p4, q, q0, n21, n20, cy;
|
||||
mp_size_t qn = nn - dn + 1;
|
||||
mp_size_t i;
|
||||
mp_limb_t dnpr = 0;
|
||||
|
||||
/*
|
||||
We only need to use the top qn limbs of the
|
||||
@ -101,11 +102,9 @@ mpn_sb_divappr_q (mp_ptr qp, mp_ptr np, mp_size_t nn,
|
||||
cause the quotient to be tipped over and made
|
||||
one too large.
|
||||
|
||||
Truncating the numerator cannot cause the
|
||||
quotient to be computed one too small as we
|
||||
are also truncating the denominator so that
|
||||
any truncated limbs from the numerator are
|
||||
irrelevant.
|
||||
Truncating the numerator can cause the
|
||||
quotient to be computed one too small in very
|
||||
rare instances. We detect this and correct.
|
||||
*/
|
||||
|
||||
if (qn < dn)
|
||||
@ -141,7 +140,9 @@ mpn_sb_divappr_q (mp_ptr qp, mp_ptr np, mp_size_t nn,
|
||||
/*
|
||||
Compute n2 + top two limbs of n2*di, but
|
||||
caring only about the top limb q, which we
|
||||
allow to be off by up to 1.
|
||||
allow to be off by up to 1. We must be
|
||||
careful to truncate the numerator when taking
|
||||
the quotient.
|
||||
*/
|
||||
n21 = np[nn - 1];
|
||||
n20 = np[nn - 2];
|
||||
@ -155,8 +156,11 @@ mpn_sb_divappr_q (mp_ptr qp, mp_ptr np, mp_size_t nn,
|
||||
cy = mpn_submul_1(np + nn - dn - 1, dp, dn, q);
|
||||
|
||||
/* Either q was correct or too small by 1 */
|
||||
|
||||
if ((np[nn-1] > cy) || (mpn_cmp(np + nn - dn - 1, dp, dn) >= 0))
|
||||
if (UNLIKELY(np[nn-1] < cy))
|
||||
{
|
||||
mpn_add_n(np + nn - dn - 1, np + nn - dn - 1, dp, dn);
|
||||
q--;
|
||||
} else if ((np[nn-1] > cy) || (mpn_cmp(np + nn - dn - 1, dp, dn) >= 0))
|
||||
{
|
||||
q++; /* beware: q *can* overflow - see below */
|
||||
if (q == 0)
|
||||
@ -177,11 +181,9 @@ mpn_sb_divappr_q (mp_ptr qp, mp_ptr np, mp_size_t nn,
|
||||
|
||||
/* This is a special case which showed up in testing. It
|
||||
may be that truncating the denominator leads to a quotient
|
||||
which overflows. The above code picks this up and does
|
||||
nothing. Here we check for this and deal with it. As
|
||||
we know that the overflow wouldn't have occurred before
|
||||
the truncation happened, we can safely just set all remaining
|
||||
limbs of the quotient to all binary ones.
|
||||
which overflows. As we know that the overflow wouldn't have
|
||||
occurred before the truncation happened, we can safely just
|
||||
set all remaining limbs of the quotient to all binary ones.
|
||||
*/
|
||||
if (mpn_cmp(np + nn - dn, dp, dn) == 0)
|
||||
{
|
||||
|
Loading…
Reference in New Issue
Block a user