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37. implement SmallerThan<A, B>
type SmallerThan<A extends number, B extends number> = A extends B ? false : B extends A ? true : A extends 0 ? true : B extends 0 ? false : SmallerThan<Exclude<A, 0> extends never ? 0 : Exclude<A, 0> extends 1 ? 0 : Subtract<A, 1>, Exclude<B, 0> extends never ? 0 : Exclude<B, 0> extends 1 ? 0 : Subtract<B, 1>>;type Subtract<A extends number, B extends number> = ({[key: string]: never; '-': A; '+': Subtract<Decrement<A>, Decrement<B>>})[A extends B ? '-' : '+'];type Decrement<A> = A extends 0 ? 0 : A extends 1 ? 0 : Subtract<A, 1>;
The SmallerThan<A, B>
type recursively decrements A
and B
until they reach 0, comparing them along the way. It uses conditional types and recursion to determine if A is smaller than B or not.
To accomplish this we need a Subtract
type, which subtracts B
from A
. If B
is greater than A
, Subtract
returns 0, otherwise it will keep subtracting 1 from both A
and B
until A
equals B
. We also need a Decrement
type, which decrements A
by 1.
Note that this implementation only works for positive integers. For negative numbers, you would need to add additional checks.