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import { test } from "uvu" | ||
import { equal, throws } from "uvu/assert" | ||
import { Fraction, fraq, gcd } from "../src/main" | ||
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test("should calc gcd", () => { | ||
equal(gcd(1, 1), 1) | ||
equal(gcd(2, 1), 1) | ||
equal(gcd(3, 0), 3) | ||
equal(gcd(3, 5), 1) | ||
equal(gcd(6, 10), 2) | ||
equal(gcd(15, 25), 5) | ||
equal(gcd(24, 36), 12) | ||
equal(gcd(33, 99), 33) | ||
equal(gcd(100, 200), 100) | ||
equal(gcd(121, 242), 121) | ||
equal(gcd(999, 1000), 1) | ||
equal(gcd(1111, 2222), 1111) | ||
equal(gcd(12345, 6789), 3) | ||
equal(gcd(270, 192), 6) | ||
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equal(gcd(0, 1), 1) | ||
equal(gcd(0, 2), 2) | ||
equal(gcd(2, 0), 2) | ||
equal(gcd(9007199254740881, 9007199254740997), 1) | ||
throws(() => gcd(3.1415, 1), /TypeError/i) | ||
}) | ||
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test("should create fraction", () => { | ||
equal(new Fraction(1, 1).toPair(), [1, 1]) | ||
equal(new Fraction(1, 2).toPair(), [1, 2]) | ||
equal(new Fraction(-1, 2).toPair(), [-1, 2]) | ||
equal(new Fraction(1, -2).toPair(), [-1, 2]) | ||
equal(new Fraction(-1, -2).toPair(), [1, 2]) | ||
equal(new Fraction(4, 2).toPair(), [2, 1]) // reduced | ||
equal(new Fraction(4, 2, false).toPair(), [4, 2]) | ||
equal(new Fraction(0, 1).toPair(), [0, 1]) | ||
equal(new Fraction(0, 2).toPair(), [0, 1]) | ||
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equal(new Fraction(2).toPair(), [2, 1]) | ||
throws(() => new Fraction(1, 0), /ZeroDivisionError/i) | ||
throws(() => new Fraction(3.1415, 1), /TypeError/i) | ||
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equal(fraq([1, 2]).toPair(), [1, 2]) | ||
equal(fraq(1, 2).toPair(), [1, 2]) | ||
equal(fraq(2).toPair(), [2, 1]) | ||
equal(fraq(new Fraction(2)).toPair(), [2, 1]) | ||
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equal(fraq(0.5).toPair(), [1, 2]) | ||
equal(fraq(1.5).toPair(), [3, 2]) | ||
equal(fraq(-0.5).toPair(), [-1, 2]) | ||
equal(fraq(-1.5).toPair(), [-3, 2]) | ||
}) | ||
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test("should abs fraction", () => { | ||
equal(new Fraction(1, 1).abs().toPair(), [1, 1]) | ||
equal(new Fraction(1, 2).abs().toPair(), [1, 2]) | ||
equal(new Fraction(-1, 2).abs().toPair(), [1, 2]) | ||
equal(new Fraction(1, -2).abs().toPair(), [1, 2]) | ||
equal(new Fraction(-1, -2).abs().toPair(), [1, 2]) | ||
}) | ||
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test("should add fraction", () => { | ||
equal(new Fraction(1, 1).add([1, 1]).toPair(), [2, 1]) | ||
equal(new Fraction(1, 1).add([1, 2]).toPair(), [3, 2]) | ||
equal(new Fraction(1, 2).add([1, 1]).toPair(), [3, 2]) | ||
equal(new Fraction(1, 2).add([1, 2]).toPair(), [1, 1]) | ||
equal(new Fraction(1, 2).add([1, 3]).toPair(), [5, 6]) | ||
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equal(new Fraction(-1, 2).add([1, 2]).toPair(), [0, 1]) | ||
equal(new Fraction(1, 2).add([-1, 2]).toPair(), [0, 1]) | ||
equal(new Fraction(1, 2).add([1, -2]).toPair(), [0, 1]) | ||
equal(new Fraction(1, -2).add([1, 2]).toPair(), [0, 1]) | ||
}) | ||
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test("should sub fraction", () => { | ||
equal(new Fraction(1, 1).sub([1, 1]).toPair(), [0, 1]) | ||
equal(new Fraction(1, 1).sub([1, 2]).toPair(), [1, 2]) | ||
equal(new Fraction(1, 2).sub([1, 1]).toPair(), [-1, 2]) | ||
equal(new Fraction(1, 2).sub([1, 2]).toPair(), [0, 1]) | ||
equal(new Fraction(1, 2).sub([1, 3]).toPair(), [1, 6]) | ||
equal(new Fraction(1, 3).sub([1, 2]).toPair(), [-1, 6]) | ||
equal(new Fraction(1, 3).sub([1, 3]).toPair(), [0, 1]) | ||
equal(new Fraction(1, 3).sub([1, 4]).toPair(), [1, 12]) | ||
equal(new Fraction(1, 4).sub([1, 3]).toPair(), [-1, 12]) | ||
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equal(new Fraction(-1, 2).sub([1, 2]).toPair(), [-1, 1]) | ||
equal(new Fraction(1, 2).sub([-1, 2]).toPair(), [1, 1]) | ||
equal(new Fraction(1, 2).sub([1, -2]).toPair(), [1, 1]) | ||
}) | ||
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test("should mul fraction", () => { | ||
equal(new Fraction(1, 2).mul([3, 4]).toPair(), [3, 8]) | ||
equal(new Fraction(1, 2).mul([-3, 4]).toPair(), [-3, 8]) | ||
equal(new Fraction(-1, 2).mul([-3, 4]).toPair(), [3, 8]) | ||
equal(new Fraction(1, 2).mul(-3).toPair(), [-3, 2]) | ||
equal(new Fraction(-1, 2).mul(3).toPair(), [-3, 2]) | ||
equal(new Fraction(1, 2).mul(0).toPair(), [0, 1]) | ||
equal(new Fraction(-1, 2).mul(0).toPair(), [0, 1]) | ||
equal(new Fraction(2, 3).mul([2, 3]).toPair(), [4, 9]) | ||
equal(new Fraction(3, 4).mul([4, 3]).toPair(), [1, 1]) | ||
equal(new Fraction(3, 2).mul([2, 5]).toPair(), [3, 5]) | ||
equal(new Fraction(2, 5).mul([3, 2]).toPair(), [3, 5]) | ||
equal(new Fraction(-3, 4).mul([-2, 5]).toPair(), [3, 10]) | ||
equal(new Fraction(3, -4).mul([2, 5]).toPair(), [-3, 10]) | ||
equal(new Fraction(-2, -3).mul([-1, -4]).toPair(), [1, 6]) | ||
equal(new Fraction(1, -4).mul([-2, 3]).toPair(), [1, 6]) | ||
equal(new Fraction(-1, 3).mul([4, 5]).toPair(), [-4, 15]) | ||
equal(new Fraction(-2, 3).mul([5, 7]).toPair(), [-10, 21]) | ||
}) | ||
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test("should div fraction", () => { | ||
equal(new Fraction(1, 2).div([3, 4]).toPair(), [2, 3]) | ||
equal(new Fraction(1, 2).div([-3, 4]).toPair(), [-2, 3]) | ||
equal(new Fraction(-1, 2).div([-3, 4]).toPair(), [2, 3]) | ||
equal(new Fraction(1, 2).div(-3).toPair(), [-1, 6]) | ||
equal(new Fraction(-1, 2).div(3).toPair(), [-1, 6]) | ||
equal(new Fraction(2, 3).div([2, 3]).toPair(), [1, 1]) | ||
equal(new Fraction(3, 4).div([4, 3]).toPair(), [9, 16]) | ||
equal(new Fraction(3, 2).div([2, 5]).toPair(), [15, 4]) | ||
equal(new Fraction(2, 5).div([3, 2]).toPair(), [4, 15]) | ||
equal(new Fraction(-3, 4).div([-2, 5]).toPair(), [15, 8]) | ||
equal(new Fraction(3, -4).div([2, 5]).toPair(), [-15, 8]) | ||
equal(new Fraction(-2, -3).div([-1, -4]).toPair(), [8, 3]) | ||
equal(new Fraction(1, -4).div([-2, 3]).toPair(), [3, 8]) | ||
equal(new Fraction(-1, 3).div([4, 5]).toPair(), [-5, 12]) | ||
equal(new Fraction(-2, 3).div([5, 7]).toPair(), [-14, 15]) | ||
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throws(() => new Fraction(1, 0).div(0), /ZeroDivisionError/i) | ||
}) | ||
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test("should compare fraction", () => { | ||
equal(new Fraction(1, 2).gt([1, 3]), true) | ||
equal(new Fraction(1, 2).gt([1, 2]), false) | ||
equal(new Fraction(1, 2).gt([1, 1]), false) | ||
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equal(new Fraction(1, 2).gte([1, 3]), true) | ||
equal(new Fraction(1, 2).gte([1, 2]), true) | ||
equal(new Fraction(1, 2).gte([1, 1]), false) | ||
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equal(new Fraction(1, 2).lt([1, 3]), false) | ||
equal(new Fraction(1, 2).lt([1, 2]), false) | ||
equal(new Fraction(1, 2).lt([1, 1]), true) | ||
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equal(new Fraction(1, 2).lte([1, 3]), false) | ||
equal(new Fraction(1, 2).lte([1, 2]), true) | ||
equal(new Fraction(1, 2).lte([1, 1]), true) | ||
}) | ||
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test("should limit denominator", () => { | ||
equal(new Fraction(1, 2).limit().toPair(), [1, 2]) | ||
equal(new Fraction(33, 100).limit().toPair(), [33, 100]) | ||
equal(new Fraction(333, 1000).limit().toPair(), [333, 1000]) | ||
equal(new Fraction(3_333, 10_000).limit().toPair(), [3333, 10_000]) | ||
equal(new Fraction(33_333, 100_000).limit().toPair(), [1, 3]) | ||
}) | ||
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test("other", () => { | ||
equal(new Fraction(1, 2).toString(), "1/2") | ||
equal(new Fraction(3, 2).toString(), "3/2") | ||
equal(new Fraction(1, -2).toString(), "-1/2") | ||
equal(new Fraction(-1, 2).toString(), "-1/2") | ||
equal(new Fraction(-1, -2).toString(), "1/2") | ||
equal(new Fraction(1, 1).toString(), "1") | ||
equal(new Fraction(2, 1).toString(), "2") | ||
equal(new Fraction(-1, 1).toString(), "-1") | ||
equal(new Fraction(1, -1).toString(), "-1") | ||
equal(new Fraction(-1, -1).toString(), "1") | ||
equal(new Fraction(0, 1).toString(), "0") | ||
equal(new Fraction(0, -1).toString(), "0") | ||
equal(new Fraction(6, 2).toString(), "3") | ||
throws(() => new Fraction(0, 0).toString(), /ZeroDivisionError/i) | ||
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equal(new Fraction(1, 2).toParts(), { s: 1, c: 0, n: 1, d: 2 }) | ||
equal(new Fraction(3, 2).toParts(), { s: 1, c: 1, n: 1, d: 2 }) | ||
equal(new Fraction(1, -2).toParts(), { s: -1, c: 0, n: 1, d: 2 }) | ||
equal(new Fraction(-1, 2).toParts(), { s: -1, c: 0, n: 1, d: 2 }) | ||
equal(new Fraction(-1, -2).toParts(), { s: 1, c: 0, n: 1, d: 2 }) | ||
equal(new Fraction(1, 1).toParts(), { s: 1, c: 0, n: 1, d: 1 }) | ||
equal(new Fraction(2, 1).toParts(), { s: 1, c: 0, n: 2, d: 1 }) /// ??? | ||
equal(new Fraction(-1, 1).toParts(), { s: -1, c: 0, n: 1, d: 1 }) | ||
equal(new Fraction(1, -1).toParts(), { s: -1, c: 0, n: 1, d: 1 }) | ||
equal(new Fraction(-1, -1).toParts(), { s: 1, c: 0, n: 1, d: 1 }) | ||
equal(new Fraction(0, 1).toParts(), { s: 1, c: 0, n: 0, d: 1 }) | ||
equal(new Fraction(0, -1).toParts(), { s: 1, c: 0, n: 0, d: 1 }) | ||
}) | ||
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test.run() |
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