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import ( | |
"math/big" | |
"math/rand" | |
"time" | |
) | |
func SplitPQ(pq *big.Int) (p1, p2 *big.Int) { | |
value_0 := big.NewInt(0) | |
value_1 := big.NewInt(1) | |
value_15 := big.NewInt(15) | |
value_17 := big.NewInt(17) | |
rndmax := big.NewInt(0).SetBit(big.NewInt(0), 64, 1) | |
what := big.NewInt(0).Set(pq) | |
rnd := rand.New(rand.NewSource(time.Now().UnixNano())) | |
g := big.NewInt(0) | |
i := 0 | |
for !(g.Cmp(value_1) == 1 && g.Cmp(what) == -1) { | |
q := big.NewInt(0).Rand(rnd, rndmax) | |
q = q.And(q, value_15) | |
q = q.Add(q, value_17) | |
q = q.Mod(q, what) | |
x := big.NewInt(0).Rand(rnd, rndmax) | |
whatnext := big.NewInt(0).Sub(what, value_1) | |
x = x.Mod(x, whatnext) | |
x = x.Add(x, value_1) | |
y := big.NewInt(0).Set(x) | |
lim := 1 << (uint(i) + 18) | |
j := 1 | |
flag := true | |
for j < lim && flag { | |
a := big.NewInt(0).Set(x) | |
b := big.NewInt(0).Set(x) | |
c := big.NewInt(0).Set(q) | |
for b.Cmp(value_0) == 1 { | |
b2 := big.NewInt(0) | |
if b2.And(b, value_1).Cmp(value_0) == 1 { | |
c.Add(c, a) | |
if c.Cmp(what) >= 0 { | |
c.Sub(c, what) | |
} | |
} | |
a.Add(a, a) | |
if a.Cmp(what) >= 0 { | |
a.Sub(a, what) | |
} | |
b.Rsh(b, 1) | |
} | |
x.Set(c) | |
z := big.NewInt(0) | |
if x.Cmp(y) == -1 { | |
z.Add(what, x) | |
z.Sub(z, y) | |
} else { | |
z.Sub(x, y) | |
} | |
g.GCD(nil, nil, z, what) | |
if (j & (j - 1)) == 0 { | |
y.Set(x) | |
} | |
j = j + 1 | |
if g.Cmp(value_1) != 0 { | |
flag = false | |
} | |
} | |
i = i + 1 | |
} | |
p1 = big.NewInt(0).Set(g) | |
p2 = big.NewInt(0).Div(what, g) | |
if p1.Cmp(p2) == 1 { | |
p1, p2 = p2, p1 | |
} | |
return | |
} |
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