public void ComplexDoubleAngle()
{
foreach (Complex z in TestUtilities.GenerateComplexValues(1.0E-3, 1.0E3, 16))
{
// Since sin(z) and cos(z) have factors that go like e^{\pm Im(z)}, they will blow up if the imaginary
// part of z gets too big. We just skip over those problematic values.
if (Math.Abs(z.Im) > Math.Log(Double.MaxValue) / 2.0)
{
continue;
}
Assert.IsTrue(TestUtilities.IsNearlyEqual(ComplexMath.Sin(2.0 * z), 2.0 * ComplexMath.Sin(z) * ComplexMath.Cos(z)));
Assert.IsTrue(TestUtilities.IsSumNearlyEqual(ComplexMath.Sqr(ComplexMath.Cos(z)), -ComplexMath.Sqr(ComplexMath.Sin(z)), ComplexMath.Cos(2.0 * z)));
}
}