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path: root/pbt/ts/src/index.ts
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import "dotenv/config";
import Prando from 'prando';
import { Gen, property } from "./property";

let genint: Gen<number> = (rng: Prando) =>
  (size: number) =>
    rng.nextInt(-size, size);


function arrayEquals<A>(a: A[], b: A[]): boolean {
  return Array.isArray(a) &&
    Array.isArray(b) &&
    a.length === b.length &&
    a.every((val, index) => val === b[index]);
}

function genlist<A>(gen: Gen<A>): Gen<A[]> {
  return (rng: Prando) => {
    let g = gen(rng);
    return (size: number) => {
      let result = [];
      for (let i = 0; i < size; i++) {
        result.push(g(size));
      }
      return result;
    };
  };
}

function reverse<A>(arr: A[]): A[] {
  let result = [];
  for (let i = arr.length - 1; i >= 0; i--) {
    result.push(arr[i]);
  }
  return result;
}

function reverse_is_self_inverse(arr: number[]): boolean {
  return arrayEquals(reverse(reverse(arr)), arr);
}

function shrinklist<A>(arr: A[]): A[][] {
  let result = [];

  let tail = arr.slice(1);
  let keep1 = arr.slice();
  keep1.splice(1, 1);
  result.push(tail,keep1);

  if (arr.length >3) {
    let half = Math.floor(arr.length / 2);
    let copy = arr.slice();
    let secondHalf = copy.slice(half);
    result.push(secondHalf);
  }

  return result;
}

function gen2lists<A>(gen: Gen<A>): Gen<[A[], A[]]> {
  return (rng: Prando) => {
    let gl = genlist(gen)(rng);
    return (size: number) => {
      return [gl(size), gl(size)]
    };
  };
}

function reverse_with_two_lists<A>(arrs: [A[], A[]]): boolean {
  return arrayEquals(reverse(arrs[0].concat(arrs[1])),
    reverse(arrs[0]).concat(reverse(arrs[1])));
}

function shrink2lists<A>([l1, l2]: [A[], A[]]): [A[], A[]][] {
  let result: [A[], A[]][] = [];
  let s1 = shrinklist(l1);
  let s2 = shrinklist(l2);
  for (let i = 0; i < s1.length; i++) {
    let j = s2.length - i -1;
    let news2 = j >= 0 ? s2[j] : [];
    result.push([s1[i], news2]);
  }
  return result;
}

let prop_reverse_with_two_lists =
  property<[number[], number[]]>(reverse_with_two_lists, gen2lists(genint), shrink2lists);

let prop_reverse_is_self_inverse =
  property(reverse_is_self_inverse, genlist(genint), shrinklist);

async function main() {
  let rng = new Prando(Math.random() * 1000);
  let reverse_append_result = prop_reverse_with_two_lists(rng, 10);
  let reverse_reverse_result = prop_reverse_is_self_inverse(rng, 10);
  console.log('result: ' + JSON.stringify(reverse_append_result));
  console.log('result: ' + JSON.stringify(reverse_reverse_result));
}

main();