"Abstraction of [[numeric types|Numeric]] that may be raised
to a power using the _exponentiation_ operator ^.
function exp(Float x) => e^x;
The exponentiation operation should obey the usual index
laws, including:
- `x^0 = 1`,
- `x^1 = x`,
- `x^(-1) = 1/x`
- `x^(m+n) = x^m * x^n`
- `x^(m-n) = x^m / x^n`
- `x^(m*n) = (x^m)^n`
- `(x*y)^n = x^n * y^n`
where `0` is the additive identity, and `1` is the
multiplicative identity.
Note that in general, the type of the exponent may be
different to the numeric type which is exponentiated. For
example, a `Rational` number class might be a subtype of
`Exponentiable<Rational,Integer>`, thus accepting only
whole-number exponents."
see (`class Integer`, `class Float`)
shared interface Exponentiable<This,Other> of This
satisfies Numeric<This>
given This satisfies Exponentiable<This,Other>
given Other satisfies Numeric<Other> {
"The result of raising this number to the given power."
shared formal This power(Other other);
}