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Fixed more bugs in sb_divappr_q.

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This commit is contained in:
wbhart 2009-10-12 02:05:16 +00:00
parent d0067e2f3b
commit 07bbd31e1d
1 changed files with 17 additions and 15 deletions
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32
mpn/generic/sb_divappr_q.c
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@ -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];
@ -152,11 +153,14 @@ mpn_sb_divappr_q (mp_ptr qp, mp_ptr np, mp_size_t nn,
add_ssaaaa(q, q0, q, q0, p1, p2);
add_ssaaaa(q, q0, q, q0, CNST_LIMB(0), n20);
cy = mpn_submul_1(np + nn - dn - 1, dp, dn, q);
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)
@ -166,7 +170,7 @@ mpn_sb_divappr_q (mp_ptr qp, mp_ptr np, mp_size_t nn,
}
qp[i] = q;
if (dn > i + 1)
{
dp++;
@ -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)
{