public void DoublePrecisionExp(double x)
{
var exp = Math.Exp(x);
BigRational lower = Math.BitDecrement(exp);
BigRational upper = Math.BitIncrement(exp);
BigRational actual = BigRational.Exp(x, 500);
Assert.True(actual < upper);
Assert.True(actual > lower);
}
public void ExpTaylorExpansion(int numerator, int denominator)
{
var power = new BigRational(numerator, denominator);
Assert.AreEqual(
new BigRational(0),
BigRational.Exp(power, 0));
Assert.AreEqual(
new BigRational(1),
BigRational.Exp(power, 1));
Assert.AreEqual(
1 + power,
BigRational.Exp(power, 2));
Assert.AreEqual(
1 + power,
BigRational.Exp(power, 2));
Assert.AreEqual(
1 + power + ((power * power) / 2),
BigRational.Exp(power, 3));
Assert.AreEqual(
1 + power + ((power * power) / 2) + ((power * power * power) / 6),
BigRational.Exp(power, 4));
}
public void NegativeTermsExp()
{
Assert.Throws <ArgumentException>(
() => BigRational.Exp(1, -1));
}
