public void CbrtTest()
{
foreach (MultiPrecision <Pow2.N8> x in TestTool.AllRangeSet <Pow2.N8>())
{
MultiPrecision <Pow2.N8> y = MultiPrecision <Pow2.N8> .Cbrt(x);
Console.WriteLine(x);
Console.WriteLine(y);
TestTool.Tolerance(Math.Cbrt((double)x), y);
}
}
public void CbrtUnnormalValueTest()
{
MultiPrecision <Pow2.N8> y = MultiPrecision <Pow2.N8> .Cbrt(MultiPrecision <Pow2.N8> .NaN);
Assert.IsTrue(y.IsNaN);
MultiPrecision <Pow2.N8> inf = MultiPrecision <Pow2.N8> .Cbrt(MultiPrecision <Pow2.N8> .PositiveInfinity);
Assert.AreEqual(MultiPrecision <Pow2.N8> .PositiveInfinity, inf);
MultiPrecision <Pow2.N8> minf = MultiPrecision <Pow2.N8> .Cbrt(MultiPrecision <Pow2.N8> .NegativeInfinity);
Assert.AreEqual(MultiPrecision <Pow2.N8> .NegativeInfinity, minf);
}
public void NewtonRaphsonRootFindingTest()
{
MultiPrecision <Pow2.N8> f(MultiPrecision <Pow2.N8> x)
{
return(x * x * x - 2);
}
MultiPrecision <Pow2.N8> df(MultiPrecision <Pow2.N8> x)
{
return(3 * x * x);
}
MultiPrecision <Pow2.N8> y = MultiPrecisionUtil.NewtonRaphsonRootFinding <Pow2.N8>(2, f, df);
Assert.IsTrue(MultiPrecision <Pow2.N8> .NearlyEqualBits(y, MultiPrecision <Pow2.N8> .Cbrt(2), 1));
}
public void HalleyRootFindingTest()
{
MultiPrecision <Pow2.N8> f(MultiPrecision <Pow2.N8> x)
{
return(x * x * x - 2);
}
(MultiPrecision <Pow2.N8> d1, MultiPrecision <Pow2.N8> d2) df(MultiPrecision <Pow2.N8> x)
{
return(3 * x * x, 6 * x);
}
MultiPrecision <Pow2.N8> y = MultiPrecisionUtil.HalleyRootFinding <Pow2.N8>(2, f, df);
Assert.IsTrue(MultiPrecision <Pow2.N8> .NearlyEqualBits(y, MultiPrecision <Pow2.N8> .Cbrt(2), 1));
}
public void CbrtBorderTest()
{
MultiPrecision <Pow2.N8>[] borders_n8 = new MultiPrecision <Pow2.N8>[] { -8, -1, 0, 1, 8 };
foreach (MultiPrecision <Pow2.N8> b in borders_n8)
{
List <MultiPrecision <Pow2.N8> > ys = new();
foreach (MultiPrecision <Pow2.N8> x in TestTool.EnumerateNeighbor(b))
{
MultiPrecision <Pow2.N8> y = MultiPrecision <Pow2.N8> .Cbrt(x);
MultiPrecision <Pow2.N8> z = MultiPrecision <Pow2.N8> .Cube(y);
Console.WriteLine(x);
Console.WriteLine(x.ToHexcode());
Console.WriteLine(y);
Console.WriteLine(y.ToHexcode());
Console.WriteLine(z);
Console.WriteLine(z.ToHexcode());
Console.Write("\n");
TestTool.Tolerance(Math.Cbrt((double)x), y);
if (b != 0)
{
Assert.IsTrue(MultiPrecision <Pow2.N8> .NearlyEqualBits(x, z, 1));
}
ys.Add(y);
}
if (b != 0)
{
TestTool.NearlyNeighbors(ys, 1);
}
TestTool.SmoothnessSatisfied(ys, (b != 0) ? 1.25 : 10);
TestTool.MonotonicitySatisfied(ys);
Console.Write("\n");
}
MultiPrecision <Pow2.N16>[] borders_n16 = new MultiPrecision <Pow2.N16>[] { -8, -1, 0, 1, 8 };
foreach (MultiPrecision <Pow2.N16> b in borders_n16)
{
List <MultiPrecision <Pow2.N16> > ys = new();
foreach (MultiPrecision <Pow2.N16> x in TestTool.EnumerateNeighbor(b))
{
MultiPrecision <Pow2.N16> y = MultiPrecision <Pow2.N16> .Cbrt(x);
MultiPrecision <Pow2.N16> z = MultiPrecision <Pow2.N16> .Cube(y);
Console.WriteLine(x);
Console.WriteLine(x.ToHexcode());
Console.WriteLine(y);
Console.WriteLine(y.ToHexcode());
Console.WriteLine(z);
Console.WriteLine(z.ToHexcode());
Console.Write("\n");
TestTool.Tolerance(Math.Cbrt((double)x), y);
if (b != 0)
{
Assert.IsTrue(MultiPrecision <Pow2.N16> .NearlyEqualBits(x, z, 1));
}
ys.Add(y);
}
if (b != 0)
{
TestTool.NearlyNeighbors(ys, 1);
}
TestTool.SmoothnessSatisfied(ys, (b != 0) ? 1.25 : 10);
TestTool.MonotonicitySatisfied(ys);
Console.Write("\n");
}
}