import type {NumberAbsolute, PositiveNumericStringGt} from './internal';
import type {IsEqual} from './is-equal';
import type {PositiveInfinity, NegativeInfinity, IsNegative} from './numeric';
import type {And} from './and';
import type {Or} from './or';

/**
Returns a boolean for whether a given number is greater than another number.

@example
```
import type {GreaterThan} from 'type-fest';

GreaterThan<1, -5>;
//=> true

GreaterThan<1, 1>;
//=> false

GreaterThan<1, 5>;
//=> false
```
*/
export type GreaterThan<A extends number, B extends number> =
	A extends number // For distributing `A`
		? B extends number // For distributing `B`
			? number extends A | B
				? never
				: [
					IsEqual<A, PositiveInfinity>, IsEqual<A, NegativeInfinity>,
					IsEqual<B, PositiveInfinity>, IsEqual<B, NegativeInfinity>,
				] extends infer R extends [boolean, boolean, boolean, boolean]
					? Or<
					And<IsEqual<R[0], true>, IsEqual<R[2], false>>,
					And<IsEqual<R[3], true>, IsEqual<R[1], false>>
					> extends true
						? true
						: Or<
						And<IsEqual<R[1], true>, IsEqual<R[3], false>>,
						And<IsEqual<R[2], true>, IsEqual<R[0], false>>
						> extends true
							? false
							: true extends R[number]
								? false
								: [IsNegative<A>, IsNegative<B>] extends infer R extends [boolean, boolean]
									? [true, false] extends R
										? false
										: [false, true] extends R
											? true
											: [false, false] extends R
												? PositiveNumericStringGt<`${A}`, `${B}`>
												: PositiveNumericStringGt<`${NumberAbsolute<B>}`, `${NumberAbsolute<A>}`>
									: never
					: never
			: never // Should never happen
		: never; // Should never happen