public void AsinUnnormalValueTest()
{
MultiPrecision <Pow2.N8>[] vs = new MultiPrecision <Pow2.N8>[] {
MultiPrecision <Pow2.N8> .NaN,
MultiPrecision <Pow2.N8> .BitDecrement(-1),
MultiPrecision <Pow2.N8> .BitIncrement(1),
MultiPrecision <Pow2.N8> .PositiveInfinity,
MultiPrecision <Pow2.N8> .NegativeInfinity,
};
foreach (MultiPrecision <Pow2.N8> v in vs)
{
MultiPrecision <Pow2.N8> y = MultiPrecision <Pow2.N8> .Asin(v);
Assert.IsTrue(y.IsNaN);
}
}
public void AsinTest()
{
for (Int64 i = -99; i <= 99; i++)
{
MultiPrecision <Pow2.N8> x = (MultiPrecision <Pow2.N8>)i / 100;
MultiPrecision <Pow2.N8> y = MultiPrecision <Pow2.N8> .Asin(x);
Console.WriteLine(x);
Console.WriteLine(y);
TestTool.Tolerance(Math.Asin((double)x), y);
}
Assert.IsTrue(MultiPrecision <Pow2.N8> .NearlyEqualBits(
MultiPrecision <Pow2.N8> .PI / 4,
MultiPrecision <Pow2.N8> .Asin(MultiPrecision <Pow2.N8> .Sqrt2 / 2), 1));
Assert.IsTrue(MultiPrecision <Pow2.N16> .NearlyEqualBits(
MultiPrecision <Pow2.N16> .PI / 4,
MultiPrecision <Pow2.N16> .Asin(MultiPrecision <Pow2.N16> .Sqrt2 / 2), 1));
}
public void AsinBorderTest()
{
MultiPrecision <Pow2.N8>[] borders_n8 = new MultiPrecision <Pow2.N8>[] {
-MultiPrecision <Pow2.N8> .Ldexp(MultiPrecision <Pow2.N8> .Sqrt2, int.MinValue / 2),
-MultiPrecision <Pow2.N8> .Ldexp(MultiPrecision <Pow2.N8> .Sqrt2, -1),
0,
MultiPrecision <Pow2.N8> .Ldexp(MultiPrecision <Pow2.N8> .Sqrt2, -1),
MultiPrecision <Pow2.N8> .Ldexp(MultiPrecision <Pow2.N8> .Sqrt2, int.MinValue / 2),
};
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> .Asin(x);
Console.WriteLine(x);
Console.WriteLine(x.ToHexcode());
Console.WriteLine(y);
Console.WriteLine(y.ToHexcode());
Console.Write("\n");
TestTool.Tolerance(Math.Asin((double)x), y);
ys.Add(y);
}
if (b != 0)
{
TestTool.NearlyNeighbors(ys, 2);
}
TestTool.SmoothnessSatisfied(ys, 1);
TestTool.MonotonicitySatisfied(ys);
Console.Write("\n");
}
MultiPrecision <Pow2.N16>[] borders_n16 = new MultiPrecision <Pow2.N16>[] {
-MultiPrecision <Pow2.N16> .Ldexp(MultiPrecision <Pow2.N16> .Sqrt2, int.MinValue / 2),
-MultiPrecision <Pow2.N16> .Ldexp(MultiPrecision <Pow2.N16> .Sqrt2, -1),
0,
MultiPrecision <Pow2.N16> .Ldexp(MultiPrecision <Pow2.N16> .Sqrt2, -1),
MultiPrecision <Pow2.N16> .Ldexp(MultiPrecision <Pow2.N16> .Sqrt2, int.MinValue / 2),
};
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> .Asin(x);
Console.WriteLine(x);
Console.WriteLine(x.ToHexcode());
Console.WriteLine(y);
Console.WriteLine(y.ToHexcode());
Console.Write("\n");
TestTool.Tolerance(Math.Asin((double)x), y);
ys.Add(y);
}
if (b != 0)
{
TestTool.NearlyNeighbors(ys, 2);
}
TestTool.SmoothnessSatisfied(ys, 1);
TestTool.MonotonicitySatisfied(ys);
Console.Write("\n");
}
}