Basic structures

This commit is contained in:
2024-07-30 22:36:22 +03:00
parent 5ce782aa0f
commit 1c70da5f3b
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import { describe, expect, it } from '@jest/globals';
import { _ } from '../src/core';
import { True, False, iif, and, not, or, xor, toBoolean, fromBoolean } from '../src/bool';
describe('Bool', () => {
describe('toBoolean', () => {
it('converts True', () => {
expect(toBoolean).toDeferEvaluationOf(True);
expect(toBoolean(True)).toEvaluateTo(true);
});
it('converts False', () => {
expect(toBoolean).toDeferEvaluationOf(False);
expect(toBoolean(False)).toEvaluateTo(false);
});
});
describe('fromBoolean', () => {
it('converts true', () => {
expect(toBoolean(fromBoolean(true))).toEvaluateTo(true);
});
it('converts false', () => {
expect(toBoolean(fromBoolean(false))).toEvaluateTo(false);
});
});
describe('iif', () => {
it('returns true argument', () => {
expect(iif).toDeferEvaluationOf(False, expect.skipped(true), false);
expect(iif(True)(_(true))(_(false))).toEvaluateTo(true);
});
it('returns false argument', () => {
expect(iif).toDeferEvaluationOf(True, true, expect.skipped(false));
expect(iif(False)(_(true))(_(false))).toEvaluateTo(false);
});
});
describe('not', () => {
it('not False is True', () => {
expect(not).toDeferEvaluationOf(False);
expect(toBoolean(not(False))).toEvaluateTo(true);
});
it('not True is False', () => {
expect(not).toDeferEvaluationOf(True);
expect(toBoolean(not(True))).toEvaluateTo(false);
});
});
describe('and', () => {
it('False and False is False', () => {
expect(and).toDeferEvaluationOf(False, expect.skipped(False));
expect(toBoolean(and(False)(False))).toEvaluateTo(false);
});
it('False and True is False', () => {
expect(and).toDeferEvaluationOf(False, expect.skipped(True));
expect(toBoolean(and(False)(True))).toEvaluateTo(false);
});
it('True and False is False', () => {
expect(and).toDeferEvaluationOf(True, False);
expect(toBoolean(and(True)(False))).toEvaluateTo(false);
});
it('True and True is True', () => {
expect(and).toDeferEvaluationOf(True, True);
expect(toBoolean(and(True)(True))).toEvaluateTo(true);
});
});
describe('or', () => {
it('False or False is False', () => {
expect(or).toDeferEvaluationOf(False, False);
expect(toBoolean(or(False)(False))).toEvaluateTo(false);
});
it('False or True is True', () => {
expect(or).toDeferEvaluationOf(False, True);
expect(toBoolean(or(False)(True))).toEvaluateTo(true);
});
it('True or False is True', () => {
expect(or).toDeferEvaluationOf(True, expect.skipped(False));
expect(toBoolean(or(True)(False))).toEvaluateTo(true);
});
it('True or True is True', () => {
expect(or).toDeferEvaluationOf(True, expect.skipped(True));
expect(toBoolean(or(True)(True))).toEvaluateTo(true);
});
});
describe('xor', () => {
it('False xor False is False', () => {
expect(xor).toDeferEvaluationOf(False, False);
expect(toBoolean(xor(False)(False))).toEvaluateTo(false);
});
it('False xor True is True', () => {
expect(xor).toDeferEvaluationOf(False, True);
expect(toBoolean(xor(False)(True))).toEvaluateTo(true);
});
it('True xor False is True', () => {
expect(xor).toDeferEvaluationOf(True, False);
expect(toBoolean(xor(True)(False))).toEvaluateTo(true);
});
it('True xor True is False', () => {
expect(xor).toDeferEvaluationOf(True, True);
expect(toBoolean(xor(True)(True))).toEvaluateTo(false);
});
});
});
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import { describe, expect, test } from '@jest/globals';
import { id } from '../src/core';
import { describe, expect, it } from '@jest/globals';
import { _, id, cnst } from '../src/core';
describe('id', () => {
test('returns same value', () => {
expect(id(null)).toBe(null);
expect(id(1)).toBe(1);
expect(id(global)).toBe(global);
it('returns first argument', () => {
expect(id).toDeferEvaluationOf(null);
expect(id(_(null))).toEvaluateTo(null);
});
});
describe('cnst', () => {
it('returns first argument after receiving second', () => {
expect(cnst).toDeferEvaluationOf(null, expect.skipped(null));
expect(cnst(_(null))(_('whatever'))).toEvaluateTo(null);
});
});
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import { describe, expect, it } from '@jest/globals';
import { $, _, Lazy } from '../src/core';
import { fromBoolean, iif } from '../src/bool';
import { toNumber, Zero, sum, succ, Num, Succ, odd } from '../src/num';
import { Cons, filter, foldl, foldlz, foldr, foldrz, fromArray, fromNumberArray, head, List, map, Nil, tail, toArray, toNumberArray } from '../src/list';
describe('List', () => {
const iterate: (n: number) => Lazy<List<number>> = n => new Lazy(() => Cons(_(n))(iterate(n + 1)).value);
const niterate: (n: Lazy<Num>) => Lazy<List<Num>> = n => new Lazy(() => Cons(n)(niterate(Succ(n))).value);
describe('toArray', () => {
it('converts []', () => {
expect(toArray).toDeferEvaluationOf(Nil);
expect(toArray(Nil)).toEvaluateTo([]);
});
it('converts [0]', () => {
expect(toArray).toDeferEvaluationOf(Cons(_(0))(Nil));
expect(toArray(Cons(_(0))(Nil))).toEvaluateTo([0]);
});
it('converts [0, 1]', () => {
expect(toArray).toDeferEvaluationOf(Cons(_(0))(Cons(_(1))(Nil)));
expect(toArray(Cons(_(0))(Cons(_(1))(Nil)))).toEvaluateTo([0, 1]);
});
});
describe('fromArray', () => {
it('converts []', () => {
expect(toArray(fromArray([]))).toEvaluateTo([]);
});
it('converts [0]', () => {
expect(toArray(fromArray([0]))).toEvaluateTo([0]);
});
it('converts 2', () => {
expect(toArray(fromArray([0, 1]))).toEvaluateTo([0, 1]);
});
});
describe('head', () => {
it('returns nothing from empty list', () => {
expect(() => head(Nil)).not.toThrow();
expect(() => $(head(Nil))).toThrow();
});
it('returns only item', () => {
expect(head).toDeferEvaluationOf(Cons(_(0))(Nil));
expect(head(Cons(_(0))(Nil))).toEvaluateTo(0);
});
it('returns first item', () => {
expect(head).toDeferEvaluationOf(Cons(_(0))(Cons(_(1))(Nil)));
expect(head(Cons(_(0))(Cons(_(1))(Nil)))).toEvaluateTo(0);
});
it('handles infinite lists', () => {
expect(head(iterate(0))).toEvaluateTo(0);
});
});
describe('tail', () => {
it('drops nothing from empty list', () => {
expect(() => tail(Nil)).not.toThrow();
expect(() => $(toArray(tail(Nil)))).toThrow();
});
it('drops only item', () => {
expect(tail).toDeferEvaluationOf(Cons(_(0))(Nil));
expect(toArray(tail(Cons(_(0))(Nil)))).toEvaluateTo([]);
});
it('drops first item', () => {
expect(tail).toDeferEvaluationOf(Cons(_(0))(Cons(_(1))(Nil)));
expect(toArray(tail(Cons(_(0))(Cons(_(1))(Nil))))).toEvaluateTo([1]);
});
it('handles infinite lists', () => {
expect(head(tail(iterate(0)))).toEvaluateTo(1);
});
});
describe('foldl', () => {
it('folds empty list', () => {
expect(foldl(sum)).toDeferEvaluationOf(Zero, fromNumberArray([]));
expect(toNumber(foldl(sum)(Zero)(fromNumberArray([])))).toEvaluateTo(0);
});
it('folds single item', () => {
expect(foldl(sum)).toDeferEvaluationOf(Zero, fromNumberArray([1]));
expect(toNumber(foldl(sum)(Zero)(fromNumberArray([1])))).toEvaluateTo(1);
});
it('folds several items', () => {
expect(foldl(sum)).toDeferEvaluationOf(Zero, fromNumberArray([1, 2]));
expect(toNumber(foldl(sum)(Zero)(fromNumberArray([1, 2])))).toEvaluateTo(3);
});
});
describe('foldlz', () => {
it('does not fold empty list', () => {
expect(() => foldlz(sum)(Nil)).not.toThrow();
expect(() => $(toNumber(foldlz(sum)(Nil)))).toThrow();
});
it('folds single item', () => {
expect(foldlz(sum)).toDeferEvaluationOf(fromNumberArray([1]));
expect(toNumber(foldlz(sum)(fromNumberArray([1])))).toEvaluateTo(1);
});
it('folds several items', () => {
expect(foldlz(sum)).toDeferEvaluationOf(fromNumberArray([1, 2]));
expect(toNumber(foldlz(sum)(fromNumberArray([1, 2])))).toEvaluateTo(3);
});
});
describe('foldr', () => {
it('folds empty list', () => {
expect(foldr(sum)).toDeferEvaluationOf(Zero, fromNumberArray([]));
expect(toNumber(foldr(sum)(Zero)(fromNumberArray([])))).toEvaluateTo(0);
});
it('folds single item', () => {
expect(foldr(sum)).toDeferEvaluationOf(Zero, fromNumberArray([1]));
expect(toNumber(foldr(sum)(Zero)(fromNumberArray([1])))).toEvaluateTo(1);
});
it('folds several items', () => {
expect(foldr(sum)).toDeferEvaluationOf(Zero, fromNumberArray([1, 2]));
expect(toNumber(foldr(sum)(Zero)(fromNumberArray([1, 2])))).toEvaluateTo(3);
});
it('handles infinite lists', () => {
expect(foldr<number, number>(x => a =>
iif<number>
(x.then(x => fromBoolean(x === 0)))
(x)
(x.then(x => a.then(a => _(x + a))))
)(_(0))(iterate(-5))).toEvaluateTo(-15);
});
});
describe('foldrz', () => {
it('does not fold empty list', () => {
expect(() => foldrz(sum)(Nil)).not.toThrow();
expect(() => $(toNumber(foldrz(sum)(Nil)))).toThrow();
});
it.failing('folds single item', () => {
expect(foldrz(sum)).toDeferEvaluationOf(fromNumberArray([1]));
expect(toNumber(foldrz(sum)(fromNumberArray([1])))).toEvaluateTo(1);
});
it.failing('folds several items', () => {
expect(foldrz(sum)).toDeferEvaluationOf(fromNumberArray([1, 2]));
expect(toNumber(foldrz(sum)(fromNumberArray([1, 2])))).toEvaluateTo(3);
});
it.failing('handles infinite lists', () => {
expect(foldrz<number>(x => a =>
iif<number>
(x.then(x => fromBoolean(x === 0)))
(x)
(x.then(x => a.then(a => _(x + a))))
)(iterate(-5))).toEvaluateTo(-10);
});
});
describe('map', () => {
it('maps empty list', () => {
expect(map(succ)).toDeferEvaluationOf(fromNumberArray([]));
expect(toNumberArray(map(succ)(fromNumberArray([])))).toEvaluateTo([]);
});
it('maps only item', () => {
expect(map(succ)).toDeferEvaluationOf(fromNumberArray([0]));
expect(toNumberArray(map(succ)(fromNumberArray([0])))).toEvaluateTo([1]);
});
it('maps several items', () => {
expect(map(succ)).toDeferEvaluationOf(fromNumberArray([0, 1]));
expect(toNumberArray(map(succ)(fromNumberArray([0, 1])))).toEvaluateTo([1, 2]);
});
it('handles infinite lists', () => {
expect(toNumber(head(map(succ)(niterate(Zero))))).toEvaluateTo(1);
});
});
describe('filter', () => {
it('filter empty list', () => {
expect(filter(odd)).toDeferEvaluationOf(fromNumberArray([]));
expect(toNumberArray(filter(odd)(fromNumberArray([])))).toEvaluateTo([]);
});
it('filters only item', () => {
expect(filter(odd)).toDeferEvaluationOf(fromNumberArray([0]));
expect(toNumberArray(filter(odd)(fromNumberArray([])))).toEvaluateTo([]);
});
it('filters several items', () => {
expect(filter(odd)).toDeferEvaluationOf(fromNumberArray([0, 1]));
expect(toNumberArray(filter(odd)(fromNumberArray([0, 1])))).toEvaluateTo([1]);
});
it('handles infinite lists', () => {
expect(toNumber(head(filter(odd)(niterate(Zero))))).toEvaluateTo(1);
});
});
});
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import { describe, expect, it } from '@jest/globals';
import { _, Lazy } from '../src/core';
import { Num, Zero, Succ, sum, succ, pred, ifz, fromNumber, toNumber, sub, mul } from '../src/num';
describe('Num', () => {
describe('toNumber', () => {
it('converts 0', () => {
expect(toNumber).toDeferEvaluationOf(Zero);
expect(toNumber(Zero)).toEvaluateTo(0);
});
it('converts 1', () => {
expect(toNumber).toDeferEvaluationOf(Succ(Zero));
expect(toNumber(Succ(Zero))).toEvaluateTo(1);
});
it('converts 2', () => {
expect(toNumber).toDeferEvaluationOf(Succ(Succ(Zero)));
expect(toNumber(Succ(Succ(Zero)))).toEvaluateTo(2);
});
});
describe('fromNumber', () => {
it('converts 0', () => {
expect(toNumber(fromNumber(0))).toEvaluateTo(0);
});
it('converts 1', () => {
expect(toNumber(fromNumber(1))).toEvaluateTo(1);
});
it('converts 2', () => {
expect(toNumber(fromNumber(2))).toEvaluateTo(2);
});
});
describe('ifz', () => {
it('returns zero branch', () => {
expect(ifz).toDeferEvaluationOf(fromNumber(0), true, false);
expect(ifz(fromNumber(0))(_(true))(_(false))).toEvaluateTo(true);
});
it('returns non-zero branch', () => {
expect(ifz).toDeferEvaluationOf(fromNumber(1), true, false);
expect(ifz(fromNumber(1))(_(true))(_(false))).toEvaluateTo(false);
});
it('returns non-zero branch', () => {
expect(ifz).toDeferEvaluationOf(fromNumber(100), true, false);
expect(ifz(fromNumber(10))(_(true))(_(false))).toEvaluateTo(false);
});
it('deeply lazy', () => {
const alot: Lazy<Num> = fromNumber(1000000);
expect(ifz(Succ(alot))(_(true))(_(false))).toEvaluateTo(false);
expect(alot.evaluated).toBe(false);
});
});
describe('succ', () => {
it('succ 0 is 1', () => {
expect(succ).toDeferEvaluationOf(fromNumber(0));
expect(toNumber(succ(fromNumber(0)))).toEvaluateTo(1);
});
it('succ 1 is 2', () => {
expect(succ).toDeferEvaluationOf(fromNumber(0));
expect(toNumber(succ(fromNumber(1)))).toEvaluateTo(2);
});
it('succ 10 is 11', () => {
expect(succ).toDeferEvaluationOf(fromNumber(10));
expect(toNumber(succ(fromNumber(10)))).toEvaluateTo(11);
});
});
describe('pred', () => {
it('pred 0 is 0', () => {
expect(pred).toDeferEvaluationOf(fromNumber(0));
expect(toNumber(pred(fromNumber(0)))).toEvaluateTo(0);
});
it('pred 1 is 0', () => {
expect(pred).toDeferEvaluationOf(fromNumber(0));
expect(toNumber(pred(fromNumber(1)))).toEvaluateTo(0);
});
it('pred 10 is 9', () => {
expect(pred).toDeferEvaluationOf(fromNumber(10));
expect(toNumber(pred(fromNumber(10)))).toEvaluateTo(9);
});
});
describe('sum', () => {
it('0 sum 0 is 0', () => {
expect(sum).toDeferEvaluationOf(fromNumber(0), fromNumber(0));
expect(toNumber(sum(fromNumber(0))(fromNumber(0)))).toEvaluateTo(0);
});
it('0 sum 1 is 1', () => {
expect(sum).toDeferEvaluationOf(fromNumber(0), fromNumber(1));
expect(toNumber(sum(fromNumber(0))(fromNumber(1)))).toEvaluateTo(1);
});
it('1 sum 0 is 1', () => {
expect(sum).toDeferEvaluationOf(fromNumber(1), fromNumber(0));
expect(toNumber(sum(fromNumber(1))(fromNumber(0)))).toEvaluateTo(1);
});
it('3 sum 4 is 7', () => {
expect(sum).toDeferEvaluationOf(fromNumber(3), fromNumber(4));
expect(toNumber(sum(fromNumber(3))(fromNumber(4)))).toEvaluateTo(7);
});
});
describe('sub', () => {
it('0 sub 0 is 0', () => {
expect(sub).toDeferEvaluationOf(fromNumber(0), fromNumber(0));
expect(toNumber(sub(fromNumber(0))(fromNumber(0)))).toEvaluateTo(0);
});
it('0 sub 1 is 0', () => {
expect(sub).toDeferEvaluationOf(fromNumber(0), fromNumber(1));
expect(toNumber(sub(fromNumber(0))(fromNumber(1)))).toEvaluateTo(0);
});
it('1 sub 0 is 1', () => {
expect(sub).toDeferEvaluationOf(fromNumber(1), fromNumber(0));
expect(toNumber(sub(fromNumber(1))(fromNumber(0)))).toEvaluateTo(1);
});
it('7 sub 4 is 3', () => {
expect(sub).toDeferEvaluationOf(fromNumber(7), fromNumber(4));
expect(toNumber(sub(fromNumber(7))(fromNumber(4)))).toEvaluateTo(3);
});
});
describe('mul', () => {
it('0 mul 0 is 0', () => {
expect(mul).toDeferEvaluationOf(fromNumber(0), fromNumber(0));
expect(toNumber(mul(fromNumber(0))(fromNumber(0)))).toEvaluateTo(0);
});
it('0 mul 10 is 0', () => {
expect(mul).toDeferEvaluationOf(fromNumber(0), expect.skipped(fromNumber(10)));
expect(toNumber(mul(fromNumber(0))(fromNumber(10)))).toEvaluateTo(0);
});
it('10 mul 0 is 0', () => {
expect(mul).toDeferEvaluationOf(fromNumber(10), fromNumber(0));
expect(toNumber(mul(fromNumber(1))(fromNumber(0)))).toEvaluateTo(0);
});
it('1 mul 10 is 10', () => {
expect(mul).toDeferEvaluationOf(fromNumber(1), fromNumber(10));
expect(toNumber(mul(fromNumber(1))(fromNumber(10)))).toEvaluateTo(10);
});
it('10 mul 1 is 10', () => {
expect(mul).toDeferEvaluationOf(fromNumber(10), fromNumber(1));
expect(toNumber(mul(fromNumber(10))(fromNumber(1)))).toEvaluateTo(10);
});
it('3 mul 4 is 12', () => {
expect(mul).toDeferEvaluationOf(fromNumber(3), fromNumber(4));
expect(toNumber(mul(fromNumber(3))(fromNumber(4)))).toEvaluateTo(12);
});
});
});
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{
"extends": "../tsconfig.json",
"include": [
"**/*.ts",
],
}
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import { expect } from '@jest/globals';
import type { MatcherFunction } from 'expect';
import { $, _, Lazy } from '../src/core';
class Deferrable<T> {
constructor(
public readonly when: 'always' | 'deferred' | 'never',
public readonly what: Lazy<T>) { }
}
const toEvaluateTo: MatcherFunction<[expected: unknown]> =
function (actual, expected) {
if (!(actual instanceof Lazy)) {
throw new TypeError('Actual must be of type Lazy!');
}
if (this.equals($(actual), expected)) {
return {
message: () => `expected ${this.utils.printReceived($(actual))} not to evaluate to ${this.utils.printExpected(expected)}`,
pass: true,
};
} else {
return {
message: () => `expected ${this.utils.printReceived($(actual))} to evaluate to ${this.utils.printExpected(expected)}`,
pass: false,
};
}
};
const toDeferEvaluationOf: MatcherFunction<(unknown | Deferrable<unknown>)[]> =
function (actual, ...args) {
if (typeof actual !== 'function') {
throw new TypeError('Actual must be of type function!');
}
if (this.isNot) {
throw new TypeError('`toDeferEvaluationOf` can not be `not`ted, use `always`/`deferred`/`never` on arguments!');
}
const largs: Deferrable<unknown>[] = args.map(v =>
v instanceof Deferrable ? v
: v instanceof Lazy ? new Deferrable('deferred', _(v.value))
: new Deferrable('deferred', _(v)));
const cargs: Deferrable<unknown>[] = [];
let result = actual;
for (const la of largs) {
result = result(la.what);
cargs.push(la);
const mismatchingArg: Deferrable<unknown> | undefined = cargs.find(v => v.when === 'always' ? !v.what.evaluated : v.what.evaluated);
if (mismatchingArg) {
return {
message: () =>
mismatchingArg.when === 'always'
? `expected ${this.utils.printExpected(actual.name)} to evaluate ${this.utils.printReceived(`${largs.indexOf(mismatchingArg) + 1}th argument`)} immediately`
: `expected ${this.utils.printExpected(actual.name)} not to evaluate ${this.utils.printReceived(`${largs.indexOf(mismatchingArg) + 1}th argument`)} immediately`,
pass: false,
};
}
}
if (!(result instanceof Lazy)) {
throw new TypeError('Actual did not resolve to value, more arguments expected.');
}
result.value;
const mismatchingArg: Deferrable<unknown> | undefined = cargs.find(v => v.when === 'never' && v.what.evaluated);
if (mismatchingArg) {
return {
message: () => `expected ${this.utils.printExpected(actual.name)} not to evaluate ${this.utils.printReceived(`${largs.indexOf(mismatchingArg) + 1}th argument`)}`,
pass: false,
};
}
return {
message: () => `expected ${this.utils.printExpected('toDeferEvaluationOf')} to ${this.utils.printReceived('fail')}`,
pass: true,
};
};
expect.extend({
toEvaluateTo,
toDeferEvaluationOf,
});
expect.evaluated = (v) => new Deferrable('always', _(v));
expect.deferred = (v) => new Deferrable('deferred', _(v));
expect.skipped = (v) => new Deferrable('never', _(v));
declare module 'expect' {
interface AsymmetricMatchers {
evaluated<T>(value: T): Deferrable<T>;
deferred<T>(value: T): Deferrable<T>;
skipped<T>(value: T): Deferrable<T>;
toEvaluateTo(value: any): void;
toDeferEvaluationOf(...args: any[]): void;
}
interface Matchers<R> {
toEvaluateTo(value: any): R;
toDeferEvaluationOf(...args: any[]): R;
}
}