public void ComplexSinSinh()
{
foreach (Complex x in TestUtilities.GenerateComplexValues(1.0E-2, 1.0E2, 10))
{
Assert.IsTrue(TestUtilities.IsNearlyEqual(ComplexMath.Sinh(x), -ComplexMath.I * ComplexMath.Sin(ComplexMath.I * x)));
Assert.IsTrue(TestUtilities.IsNearlyEqual(ComplexMath.I * ComplexMath.Sinh(-ComplexMath.I * x), ComplexMath.Sin(x)));
}
}
public void ComplexSinhCoshRelation()
{
foreach (Complex z in TestUtilities.GenerateComplexValues(1.0E-2, 1.0E2, 10))
{
Complex sinh = ComplexMath.Sinh(z);
Complex cosh = ComplexMath.Cosh(z);
Assert.IsTrue(TestUtilities.IsSumNearlyEqual(cosh * cosh, -sinh * sinh, 1));
}
}
public void ComplexSinSinh()
{
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.Sinh(z), -ComplexMath.I * ComplexMath.Sin(ComplexMath.I * z)));
Assert.IsTrue(TestUtilities.IsNearlyEqual(ComplexMath.I * ComplexMath.Sinh(-ComplexMath.I * z), ComplexMath.Sin(z)));
}
}
public void ComplexHyperbolicTrigExtremeValues()
{
Assert.IsTrue(Complex.IsNaN(ComplexMath.Sinh(Double.NaN)));
Assert.IsTrue(Complex.IsNaN(ComplexMath.Cosh(Double.NaN)));
Assert.IsTrue(Complex.IsNaN(ComplexMath.Tanh(Double.NaN)));
}