public void TestExp(double x)
{
var exp = Math.Exp(x);
BigRational upper = exp.Increment();
BigRational lower = exp.Decrement();
BigRational actual = SeriesExpansions.Exp(x, 500);
Assert.True(actual < upper);
Assert.True(actual > lower);
}
public void TestLog(double x)
{
var log = Math.Log(x);
BigRational upper = log.Increment();
BigRational lower = log.Decrement();
BigRational actual = SeriesExpansions.Log(x, 1000);
Assert.True(actual < upper);
Assert.True(actual > lower);
}
public void TestExpansion(int numerator, int denominator)
{
var power = new BigRational(numerator, denominator);
Assert.AreEqual(
BigRational.Zero,
SeriesExpansions.Exp(power, 0));
Assert.AreEqual(
BigRational.One,
SeriesExpansions.Exp(power, 1));
Assert.AreEqual(
1 + power,
SeriesExpansions.Exp(power, 2));
Assert.AreEqual(
1 + power,
SeriesExpansions.Exp(power, 2));
Assert.AreEqual(
1 + power + ((power * power) / 2),
SeriesExpansions.Exp(power, 3));
Assert.AreEqual(
1 + power + ((power * power) / 2) + ((power * power * power) / 6),
SeriesExpansions.Exp(power, 4));
}
