public void DoubleDoubleSqrt()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0E-4, 1.0E4, 16))
{
DoubleDouble y = DoubleDouble.Sqrt(x);
Assert.IsTrue(DoubleDoubleTest.IsNearlyEqual(y * y, x));
}
}
public void DoubleDoubleTrigSymmetries()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0E-3, 1.0E3, 8))
{
Assert.IsTrue(DoubleDouble.Sin(x) == -DoubleDouble.Sin(-x));
Assert.IsTrue(DoubleDouble.Cos(x) == DoubleDouble.Cos(-x));
}
}
public void DoubleDoubleErrorFunctionReflection()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0E-4, 1.0E4, 8))
{
DoubleDouble xErf = AdvancedDoubleDoubleMath.Erf(x);
Assert.IsTrue(-AdvancedDoubleDoubleMath.Erf(-x) == AdvancedDoubleDoubleMath.Erf(x));
}
}
public void DoubleDoubleLogExp()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0E-2, 1.0E6, 16))
{
DoubleDouble xLog = DoubleDouble.Log(x);
DoubleDouble xLogExp = DoubleDouble.Exp(xLog);
Assert.IsTrue(DoubleDoubleTest.IsNearlyEqual(xLogExp, x));
}
}
public void DoubleDoubleErrorFunctionComplementiarity()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0E-2, 1.0E2, 8))
{
DoubleDouble xErf = AdvancedDoubleDoubleMath.Erf(x);
DoubleDouble xErfc = AdvancedDoubleDoubleMath.Erfc(x);
Assert.IsTrue(DoubleDoubleTest.IsNearlyEqual(xErf + xErfc, DoubleDouble.One));
}
}
public void DoubleDoubleLogGammaRecurrence()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0, 1.0E4, 8))
{
Assert.IsTrue(DoubleDoubleTest.IsNearlyEqual(
DoubleDouble.Log(x) + AdvancedDoubleDoubleMath.LogGamma(x),
AdvancedDoubleDoubleMath.LogGamma(x + DoubleDouble.One)
));
}
}
public void DoubleDoubleSqrtAgreement()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0E-4, 1.0E4, 16))
{
DoubleDouble xSqrt = DoubleDouble.Sqrt(x);
double xSqrtAsDouble = (double)xSqrt;
double xAsDouble = (double)x;
double xAsDoubleSqrt = Math.Sqrt(xAsDouble);
Assert.IsTrue(TestUtilities.IsNearlyEqual(xSqrtAsDouble, xAsDoubleSqrt));
}
}
public void DoubleDoubleLogGammaAgreement()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0E-2, 1.0E3, 12))
{
DoubleDouble xLogGamma = AdvancedDoubleDoubleMath.LogGamma(x);
double xLogGammaAsDouble = (double)xLogGamma;
double xAsDouble = (double)x;
double xAsDoubleLogGamma = AdvancedMath.LogGamma(xAsDouble);
Assert.IsTrue(TestUtilities.IsNearlyEqual(xLogGammaAsDouble, xAsDoubleLogGamma));
}
}
public void DoubleDoubleErrorFunctionAgreement()
{
foreach (DoubleDouble x in DoubleDoubleTest.GetRandomDoubleDoubles(1.0E-2, 1.0E2, 8))
{
DoubleDouble xErf = AdvancedDoubleDoubleMath.Erf(x);
double xErfAsDouble = (double)xErf;
double xAsDouble = (double)x;
double xAsDoubleErf = AdvancedMath.Erf(xAsDouble);
Assert.IsTrue(TestUtilities.IsNearlyEqual(xErfAsDouble, xAsDoubleErf));
DoubleDouble xErfc = AdvancedDoubleDoubleMath.Erfc(x);
Assert.IsTrue(DoubleDoubleTest.IsNearlyEqual(xErf + xErfc, DoubleDouble.One));
}
}