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optimized the bigint division a bit more

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This commit is contained in:
hyunghwan.chung 2019-03-25 11:41:26 +00:00
parent 983026c774
commit 45b21a004b
2 changed files with 100 additions and 35 deletions
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21
moo/kernel/test-001.moo
View File

@ -262,6 +262,27 @@ extend MyObject
[ (811306333091350399588761 div: 128) = 6338330727276174996787 ], [ (811306333091350399588761 div: 128) = 6338330727276174996787 ],
[ (811306333091350399588761 rem: 128) = 25 ], [ (811306333091350399588761 rem: 128) = 25 ],
[ (811306333091350399588761 mod: 128) = 25 ], [ (811306333091350399588761 mod: 128) = 25 ],
[ (-811306333091350399588761 div: -16) = 50706645818209399974297 ],
## 100-104
[ (-811306333091350399588761 rem: -16) = -9 ],
[ (-811306333091350399588761 mod: -16) = -9 ],
[ (-811306333091350399588761 div: -128) = 6338330727276174996787 ],
[ (-811306333091350399588761 rem: -128) = -25 ],
[ (-811306333091350399588761 mod: -128) = -25 ],
## 105-109
[ (-8113063330913503995887611892379812731289731289312898971231 div: -1024) = 7922913409095218745983995988652160870400128212219627901 ],
[ (-8113063330913503995887611892379812731289731289312898971231 rem: -1024) = -607 ],
[ (-8113063330913503995887611892379812731289731289312898971231 mod: -1024) = -607 ],
[ (-8113063330913503995887611892379812731289731289312898971231 div: -65535) = 123797411015693964994088836383303772507663558240831600 ],
[ (-8113063330913503995887611892379812731289731289312898971231 rem: -65535) = -65231 ],
## 110-114
[ (-8113063330913503995887611892379812731289731289312898971231 mod: -65535) = -65231 ],
[ (-8113063330913503995887611892379812731289731289312898971231 div: -65536) = 123795522017112792905999937322690013600002003315931685 ],
[ (-8113063330913503995887611892379812731289731289312898971231 rem: -65536) = -63071 ],
[ (-8113063330913503995887611892379812731289731289312898971231 mod: -65536) = -63071 ],
## ========================= ## =========================
[ [

114
moo/lib/bigint.c
View File

@ -2192,47 +2192,91 @@ moo_oop_t moo_divints (moo_t* moo, moo_oop_t x, moo_oop_t y, int modulo, moo_oop
return z; return z;
default: default:
/* TODO: do division by shifting if both x & y are negative here */ /* TODO: do division by shifting if both x & y are in different sign */
if (yv > 0 && IS_POW2(yv) && !MOO_POINTER_IS_NBIGINT(moo, x)) if (yv < 0)
{ {
moo_oow_t nshifts; moo_oow_t yv_neg = -yv;
if (IS_POW2(yv_neg) && MOO_POINTER_IS_NBIGINT(moo, x))
/*
2**x = v
x = log2(v)
x is the number of shift to make */
nshifts = LOG2_FOR_POW2(yv);
moo_pushvolat (moo, &x);
moo_pushvolat (moo, &y);
z = clone_bigint(moo, x, MOO_OBJ_GET_SIZE(x));
moo_popvolats (moo, 2);
if (!z) return MOO_NULL;
rshift_unsigned_array (MOO_OBJ_GET_LIWORD_SLOT(z), MOO_OBJ_GET_SIZE(z), nshifts);
moo_pushvolat (moo, &x);
moo_pushvolat (moo, &y);
z = normalize_bigint(moo, z);
moo_popvolats (moo, 2);
if (!z) return MOO_NULL;
if (rem)
{ {
moo_oow_t nshifts;
nshifts = LOG2_FOR_POW2(yv_neg);
moo_pushvolat (moo, &x); moo_pushvolat (moo, &x);
moo_pushvolat (moo, &z); z = clone_bigint_negated(moo, x, MOO_OBJ_GET_SIZE(x));
r = moo_mulints(moo, y, z);
moo_popvolats (moo, 2);
if (!r) return MOO_NULL;
moo_pushvolat (moo, &z);
r = moo_subints(moo, x, r);
moo_popvolat (moo); moo_popvolat (moo);
if (!r) return MOO_NULL; if (!z) return MOO_NULL;
*rem = r; rshift_unsigned_array (MOO_OBJ_GET_LIWORD_SLOT(z), MOO_OBJ_GET_SIZE(z), nshifts);
moo_pushvolat (moo, &x);
z = normalize_bigint(moo, z);
moo_popvolat (moo);
if (!z) return MOO_NULL;
if (rem)
{
moo_pushvolat (moo, &x);
moo_pushvolat (moo, &z);
r = moo_mulints(moo, MOO_SMOOI_TO_OOP(yv_neg), z);
moo_popvolats (moo, 2);
if (!r) return MOO_NULL;
moo_pushvolat (moo, &z);
r = moo_addints(moo, x, r);
moo_popvolat (moo);
if (!r) return MOO_NULL;
*rem = r;
}
return z;
}
}
else
{
/* yv > 0 */
if (IS_POW2(yv) && MOO_POINTER_IS_PBIGINT(moo, x))
{
moo_oow_t nshifts;
/*
2**x = v
x = log2(v)
x is the number of shift to make */
nshifts = LOG2_FOR_POW2(yv);
/* no pushvolat() on y as y is SMOOI here */
moo_pushvolat (moo, &x);
z = clone_bigint(moo, x, MOO_OBJ_GET_SIZE(x));
moo_popvolat (moo);
if (!z) return MOO_NULL;
rshift_unsigned_array (MOO_OBJ_GET_LIWORD_SLOT(z), MOO_OBJ_GET_SIZE(z), nshifts);
moo_pushvolat (moo, &x);
z = normalize_bigint(moo, z);
moo_popvolat (moo);
if (!z) return MOO_NULL;
if (rem)
{
moo_pushvolat (moo, &x);
moo_pushvolat (moo, &z);
r = moo_mulints(moo, y, z);
moo_popvolats (moo, 2);
if (!r) return MOO_NULL;
moo_pushvolat (moo, &z);
r = moo_subints(moo, x, r);
moo_popvolat (moo);
if (!r) return MOO_NULL;
*rem = r;
}
return z;
} }
return z;
} }
break; break;
} }