public void AbsTest()
{
Assert.AreEqual((Int128)5, Int128.Abs(value5));
Assert.AreEqual((Int128)3, Int128.Abs(value3));
Assert.AreEqual((Int128)0, Int128.Abs(value0));
Assert.AreEqual((Int128)2, Int128.Abs(valuem2));
Assert.AreEqual((Int128)3, Int128.Abs(valuem3));
}
public void Int128DoubleRoundtrip()
{
// For integers exactly representable by doubles (52 or fewer binary digits),
// roundtrip through double should preserve value
Random rng = new Random(8);
foreach (Int128 s in GetRandomInt64(8, rng))
{
if (Int128.Abs(s) > (1UL << 51))
{
continue;
}
double d = (double)s;
Int128 s1 = (Int128)d;
Assert.IsTrue(s1 == s);
}
}
public void Int128Abs()
{
Assert.IsTrue(Int128.Abs(Int128.Zero) == Int128.Zero);
Assert.ThrowsException <OverflowException>(() => Int128.Abs(Int128.MinValue));
foreach (Int128 x in GetRandomInt128(8))
{
Int128 y = Int128.Abs(x);
if (x < Int128.Zero)
{
Assert.IsTrue(y == -x);
}
else
{
Assert.IsTrue(y == x);
}
}
}
// [DataRow(int.MaxValue, int.MaxValue)]
// [DataRow(uint.MaxValue, uint.MaxValue)]
// [DataRow(long.MaxValue, long.MaxValue)]
public void Int128Test(long factorMax, long modulusMax)
{
var random = new MersenneTwister(0).Create <long>();
for (int i = 0; i < 10000; i++)
{
var n = random.Next(modulusMax - 1) + 1;
var a = random.Next(factorMax) % n - factorMax / 2;
var b = random.Next(factorMax) % n - factorMax / 2;
var s = (int)(Math.Abs(b) % 32);
var value = (Int128)0;
Assert.AreEqual((BigInteger)a << s, (Int128)a << s);
Assert.AreEqual((BigInteger)a >> s, (Int128)a >> s);
Assert.AreEqual((BigInteger)a & b, (Int128)a & b);
Assert.AreEqual((BigInteger)a & b, a & (Int128)b);
Assert.AreEqual((BigInteger)a & b, (Int128)a & (Int128)b);
Assert.AreEqual((BigInteger)a | b, (Int128)a | b);
Assert.AreEqual((BigInteger)a | b, a | (Int128)b);
Assert.AreEqual((BigInteger)a | b, (Int128)a | (Int128)b);
Assert.AreEqual((BigInteger)a ^ b, (Int128)a ^ b);
Assert.AreEqual((BigInteger)a ^ b, a ^ (Int128)b);
Assert.AreEqual((BigInteger)a ^ b, (Int128)a ^ (Int128)b);
if (a <= long.MaxValue)
{
Assert.AreEqual(~(BigInteger)a, (long)~(Int128)a);
}
Assert.AreEqual((BigInteger)a + b, (Int128)a + b);
Assert.AreEqual((BigInteger)a + b, a + (Int128)b);
Assert.AreEqual((BigInteger)a + b, (Int128)a + (Int128)b);
Assert.AreEqual(((BigInteger)a * n + (BigInteger)b * n) % ((BigInteger)1 << 128), (Int128)a * n + (Int128)b * n);
Assert.AreEqual((BigInteger)a - b, (Int128)a - b);
Assert.AreEqual((BigInteger)a - b, a - (Int128)b);
Assert.AreEqual((BigInteger)a - b, (Int128)a - (Int128)b);
Assert.AreEqual(((BigInteger)a * n - (BigInteger)b * n) % ((BigInteger)1 << 128), (Int128)a * n - (Int128)b * n);
Assert.AreEqual(+(BigInteger)a, +(Int128)a);
Assert.AreEqual(-(BigInteger)a, -(Int128)a);
value = a; Assert.AreEqual((BigInteger)a + 1, ++value);
value = a; Assert.AreEqual((BigInteger)a, value++);
value = (Int128)a * b; Assert.AreEqual((BigInteger)a * b + 1, ++value);
value = (Int128)a * b; Assert.AreEqual((BigInteger)a * b, value++);
value = a; Assert.AreEqual((BigInteger)a - 1, --value);
value = a; Assert.AreEqual((BigInteger)a, value--);
value = (Int128)a * b; Assert.AreEqual((BigInteger)a * b - 1, --value);
value = (Int128)a * b; Assert.AreEqual((BigInteger)a * b, value--);
Assert.AreEqual((BigInteger)a * b, (Int128)a * b);
Assert.AreEqual((BigInteger)a * b, a * (Int128)b);
Assert.AreEqual((BigInteger)a * b, (Int128)a * (Int128)b);
Assert.AreEqual((BigInteger)a * b % n, (Int128)a * b % n);
Assert.AreEqual((BigInteger)a * b % n, a * (Int128)b % n);
Assert.AreEqual((BigInteger)a * b % n, (Int128)a * (Int128)b % (Int128)n);
Assert.AreEqual((BigInteger)a * b / n, (Int128)a * b / n);
Assert.AreEqual((BigInteger)a * b / n, a * (Int128)b / n);
Assert.AreEqual((BigInteger)a * b / n, (Int128)a * (Int128)b / (Int128)n);
Assert.AreEqual((BigInteger)a < b, (Int128)a < b);
Assert.AreEqual((BigInteger)a < b, a < (Int128)b);
Assert.AreEqual((BigInteger)a < b, (Int128)a < (Int128)b);
Assert.AreEqual((BigInteger)a <= b, (Int128)a <= b);
Assert.AreEqual((BigInteger)a <= b, a <= (Int128)b);
Assert.AreEqual((BigInteger)a <= b, (Int128)a <= (Int128)b);
Assert.AreEqual((BigInteger)a > b, (Int128)a > b);
Assert.AreEqual((BigInteger)a > b, a > (Int128)b);
Assert.AreEqual((BigInteger)a > b, (Int128)a > (Int128)b);
Assert.AreEqual((BigInteger)a >= b, (Int128)a >= b);
Assert.AreEqual((BigInteger)a >= b, a >= (Int128)b);
Assert.AreEqual((BigInteger)a >= b, (Int128)a >= (Int128)b);
Assert.AreEqual((BigInteger)a == b, (Int128)a == b);
Assert.AreEqual((BigInteger)a == b, a == (Int128)b);
Assert.AreEqual((BigInteger)a == b, (Int128)a == (Int128)b);
Assert.AreEqual((BigInteger)a != b, (Int128)a != b);
Assert.AreEqual((BigInteger)a != b, a != (Int128)b);
Assert.AreEqual((BigInteger)a != b, (Int128)a != (Int128)b);
Assert.AreEqual(BigInteger.Abs(a), Int128.Abs(a));
Assert.AreEqual(BigInteger.Abs((BigInteger)a * b), Int128.Abs((Int128)a * b));
Assert.AreEqual(BigInteger.Min(a, b), Int128.Min(a, b));
Assert.AreEqual(BigInteger.Min((BigInteger)a * n, (BigInteger)b * n), Int128.Min((Int128)a * n, (Int128)b * n));
Assert.AreEqual(BigInteger.Max(a, b), Int128.Max(a, b));
Assert.AreEqual(BigInteger.Max((BigInteger)a * n, (BigInteger)b * n), Int128.Max((Int128)a * n, (Int128)b * n));
for (var j = 0; j < 2; j++)
{
var m = Int128.Abs(j == 0 ? (Int128)a * (Int128)b : (Int128)n * (Int128)n);
var floorsqrt = Int128.FloorSqrt(m);
Assert.IsTrue((BigInteger)floorsqrt * floorsqrt <= m && (BigInteger)(floorsqrt + 1) * (floorsqrt + 1) > m);
var ceilingsqrt = Int128.CeilingSqrt(m);
Assert.IsTrue((BigInteger)(ceilingsqrt - 1) * (ceilingsqrt - 1) < m && (BigInteger)ceilingsqrt * ceilingsqrt >= m);
}
for (var j = 0; j < 2; j++)
{
var m = j == 0 ? (Int128)a * (Int128)b : (Int128)(Math.Sign(a) * Math.Sign(b) * BigInteger.Pow((BigInteger)Math.Floor(Math.Pow((double)BigInteger.Abs((BigInteger)a * b), (double)1 / 3)), 3));
var floorcbrt = Int128.FloorCbrt(m);
Assert.IsTrue(Math.Sign(floorcbrt) == m.Sign && (BigInteger)Math.Abs(floorcbrt) * Math.Abs(floorcbrt) * Math.Abs(floorcbrt) <= BigInteger.Abs(m) && (BigInteger)(Math.Abs(floorcbrt) + 1) * (Math.Abs(floorcbrt) + 1) * (Math.Abs(floorcbrt) + 1) > BigInteger.Abs(m));
var ceilingcbrt = Int128.CeilingCbrt(m);
Assert.IsTrue(Math.Sign(ceilingcbrt) == m.Sign && (BigInteger)(Math.Abs(ceilingcbrt) - 1) * (Math.Abs(ceilingcbrt) - 1) * (Math.Abs(ceilingcbrt) - 1) < BigInteger.Abs(m) && (BigInteger)Math.Abs(ceilingcbrt) * Math.Abs(ceilingcbrt) * Math.Abs(ceilingcbrt) >= BigInteger.Abs(m));
}
}
}