Lambda calculus-like library written in TypeScript.
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jlc/src/byte.ts

34 lines
956 B

import { L, _, id } from './core';
import { iif } from './bool';
import { Num, Succ, Zero, fromNumber as _n, eq } from './num';
export type Byte = Num;
export const x00: Byte
= Zero;
export const xFF: Num
= _n(255);
export const Inc: L<(p: Byte) => Byte>
= _(p => iif._(eq._(xFF)._(p))._(x00)._(Succ._(p)));
export { ifz, cmp, lt, le, eq, ge, gt, even, odd, div, mod, show, toNumber } from './num';
export const inc: L<(n: Byte) => Byte>
= Inc;
export const dec: L<(n: Byte) => Byte>
= _(n => n._(xFF)._(id));
export const sum: L<(l: Byte) => L<(r: Byte) => Byte>>
= _(l => _(r => r._(l)._(_(pr => sum._(inc._(l))._(pr)))));
export const sub: L<(l: Byte) => L<(r: Byte) => Byte>>
= _(l => _(r => r._(l)._(_(pr => sub._(dec._(l))._(pr)))));
export const mul: L<(l: Byte) => L<(r: Byte) => Byte>>
= _(l => _(r => l._(x00)._(_(pl => sum._(r)._(mul._(pl)._(r))))));
export const fromNumber: (n: number) => Byte
= n => _n(n % 256);