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- const Fraction = require('fraction.js');
- const assert = require('assert');
- var DivisionByZero = function () { return new Error("Division by Zero"); };
- var InvalidParameter = function () { return new Error("Invalid argument"); };
- var NonIntegerParameter = function () { return new Error("Parameters must be integer"); };
- var tests = [{
- set: "",
- expectError: InvalidParameter()
- }, {
- set: "foo",
- expectError: InvalidParameter()
- }, {
- set: " 123",
- expectError: InvalidParameter()
- }, {
- set: 0,
- expect: 0
- }, {
- set: .2,
- expect: "0.2"
- }, {
- set: .333,
- expect: "0.333"
- }, {
- set: 1.1,
- expect: "1.1"
- }, {
- set: 1.2,
- expect: "1.2"
- }, {
- set: 1.3,
- expect: "1.3"
- }, {
- set: 1.4,
- expect: "1.4"
- }, {
- set: 1.5,
- expect: "1.5"
- }, {
- set: 2.555,
- expect: "2.555"
- }, {
- set: 1e12,
- expect: "1000000000000"
- }, {
- set: " - ",
- expectError: InvalidParameter()
- }, {
- set: ".5",
- expect: "0.5"
- }, {
- set: "2_000_000",
- expect: "2000000"
- }, {
- set: "-.5",
- expect: "-0.5"
- }, {
- set: "123",
- expect: "123"
- }, {
- set: "-123",
- expect: "-123"
- }, {
- set: "123.4",
- expect: "123.4"
- }, {
- set: "-123.4",
- expect: "-123.4"
- }, {
- set: "123.",
- expect: "123"
- }, {
- set: "-123.",
- expect: "-123"
- }, {
- set: "123.4(56)",
- expect: "123.4(56)"
- }, {
- set: "-123.4(56)",
- expect: "-123.4(56)"
- }, {
- set: "123.(4)",
- expect: "123.(4)"
- }, {
- set: "-123.(4)",
- expect: "-123.(4)"
- }, {
- set: "0/0",
- expectError: DivisionByZero()
- }, {
- set: "9/0",
- expectError: DivisionByZero()
- }, {
- label: "0/1+0/1",
- set: "0/1",
- param: "0/1",
- expect: "0"
- }, {
- label: "1/9+0/1",
- set: "1/9",
- param: "0/1",
- expect: "0.(1)"
- }, {
- set: "123/456",
- expect: "0.269(736842105263157894)"
- }, {
- set: "-123/456",
- expect: "-0.269(736842105263157894)"
- }, {
- set: "19 123/456",
- expect: "19.269(736842105263157894)"
- }, {
- set: "-19 123/456",
- expect: "-19.269(736842105263157894)"
- }, {
- set: "123.(22)123",
- expectError: InvalidParameter()
- }, {
- set: "+33.3(3)",
- expect: "33.(3)"
- }, {
- set: "3.'09009'",
- expect: "3.(09009)"
- }, {
- set: "123.(((",
- expectError: InvalidParameter()
- }, {
- set: "123.((",
- expectError: InvalidParameter()
- }, {
- set: "123.()",
- expectError: InvalidParameter()
- }, {
- set: null,
- expect: "0" // I would say it's just fine
- }, {
- set: [22, 7],
- expect: '3.(142857)' // We got Pi! - almost ;o
- }, {
- set: "355/113",
- expect: "3.(1415929203539823008849557522123893805309734513274336283185840707964601769911504424778761061946902654867256637168)" // Yay, a better PI
- }, {
- set: "3 1/7",
- expect: '3.(142857)'
- }, {
- set: [36, -36],
- expect: "-1"
- }, {
- set: [1n, 3n],
- expect: "0.(3)"
- }, {
- set: 1n,
- set2: 3n,
- expect: "0.(3)"
- }, {
- set: { n: 1n, d: 3n },
- expect: "0.(3)"
- }, {
- set: { n: 1n, d: 3n },
- expect: "0.(3)"
- }, {
- set: [1n, 3n],
- expect: "0.(3)"
- }, {
- set: "9/12",
- expect: "0.75"
- }, {
- set: "0.09(33)",
- expect: "0.09(3)"
- }, {
- set: 1 / 2,
- expect: "0.5"
- }, {
- set: 1 / 3,
- expect: "0.(3)"
- }, {
- set: "0.'3'",
- expect: "0.(3)"
- }, {
- set: "0.00002",
- expect: "0.00002"
- }, {
- set: 7 / 8,
- expect: "0.875"
- }, {
- set: 0.003,
- expect: "0.003"
- }, {
- set: 4,
- expect: "4"
- }, {
- set: -99,
- expect: "-99"
- }, {
- set: "-92332.1192",
- expect: "-92332.1192"
- }, {
- set: '88.92933(12111)',
- expect: "88.92933(12111)"
- }, {
- set: '-192322.823(123)',
- expect: "-192322.8(231)"
- }, {
- label: "-99.12 % 0.09(34)",
- set: '-99.12',
- fn: "mod",
- param: "0.09(34)",
- expect: "-0.07(95)"
- }, {
- label: "0.4 / 0.1",
- set: .4,
- fn: "div",
- param: ".1",
- expect: "4"
- }, {
- label: "1 / -.1",
- set: 1,
- fn: "div",
- param: "-.1",
- expect: "-10"
- }, {
- label: "1 - (-1)",
- set: 1,
- fn: "sub",
- param: "-1",
- expect: "2"
- }, {
- label: "1 + (-1)",
- set: 1,
- fn: "add",
- param: "-1",
- expect: "0"
- }, {
- label: "-187 % 12",
- set: '-187',
- fn: "mod",
- param: "12",
- expect: "-7"
- }, {
- label: "Negate by 99 * -1",
- set: '99',
- fn: "mul",
- param: "-1",
- expect: "-99"
- }, {
- label: "0.5050000000000000000000000",
- set: "0.5050000000000000000000000",
- expect: "101/200",
- fn: "toFraction",
- param: true
- }, {
- label: "0.505000000(0000000000)",
- set: "0.505000000(0000000000)",
- expect: "101/200",
- fn: "toFraction",
- param: true
- }, {
- set: [20, -5],
- expect: "-4",
- fn: "toFraction",
- param: true
- }, {
- set: [-10, -7],
- expect: "1 3/7",
- fn: "toFraction",
- param: true
- }, {
- set: [21, -6],
- expect: "-3 1/2",
- fn: "toFraction",
- param: true
- }, {
- set: "10/78",
- expect: "5/39",
- fn: "toFraction",
- param: true
- }, {
- set: "0/91",
- expect: "0",
- fn: "toFraction",
- param: true
- }, {
- set: "-0/287",
- expect: "0",
- fn: "toFraction",
- param: true
- }, {
- set: "-5/20",
- expect: "-1/4",
- fn: "toFraction",
- param: true
- }, {
- set: "42/9",
- expect: "4 2/3",
- fn: "toFraction",
- param: true
- }, {
- set: "71/23",
- expect: "3 2/23",
- fn: "toFraction",
- param: true
- }, {
- set: "6/3",
- expect: "2",
- fn: "toFraction",
- param: true
- }, {
- set: "28/4",
- expect: "7",
- fn: "toFraction",
- param: true
- }, {
- set: "105/35",
- expect: "3",
- fn: "toFraction",
- param: true
- }, {
- set: "4/6",
- expect: "2/3",
- fn: "toFraction",
- param: true
- }, {
- label: "99.(9) + 66",
- set: '99.(999999)',
- fn: "add",
- param: "66",
- expect: "166"
- }, {
- label: "123.32 / 33.'9821'",
- set: '123.32',
- fn: "div",
- param: "33.'9821'",
- expect: "3.628958880242975"
- }, {
- label: "-82.124 / 66.(3)",
- set: '-82.124',
- fn: "div",
- param: "66.(3)",
- expect: "-1.238(050251256281407035175879396984924623115577889447236180904522613065326633165829145728643216080402010)"
- }, {
- label: "100 - .91",
- set: '100',
- fn: "sub",
- param: ".91",
- expect: "99.09"
- }, {
- label: "381.(33411) % 11.119(356)",
- set: '381.(33411)',
- fn: "mod",
- param: "11.119(356)",
- expect: "3.275(997225017295217)"
- }, {
- label: "13/26 mod 1",
- set: '13/26',
- fn: "mod",
- param: "1.000",
- expect: "0.5"
- }, {
- label: "381.(33411) % 1", // Extract fraction part of a number
- set: '381.(33411)',
- fn: "mod",
- param: "1",
- expect: "0.(33411)"
- }, {
- label: "-222/3",
- set: {
- n: 3,
- d: 222,
- s: -1
- },
- fn: "inverse",
- param: null,
- expect: "-74"
- }, {
- label: "inverse",
- set: 1 / 2,
- fn: "inverse",
- param: null,
- expect: "2"
- }, {
- label: "abs(-222/3)",
- set: {
- n: -222,
- d: 3
- },
- fn: "abs",
- param: null,
- expect: "74"
- }, {
- label: "9 % -2",
- set: 9,
- fn: "mod",
- param: "-2",
- expect: "1"
- }, {
- label: "-9 % 2",
- set: '-9',
- fn: "mod",
- param: "-2",
- expect: "-1"
- }, {
- label: "1 / 195312500",
- set: '1',
- fn: "div",
- param: "195312500",
- expect: "0.00000000512"
- }, {
- label: "10 / 0",
- set: 10,
- fn: "div",
- param: 0,
- expectError: DivisionByZero()
- }, {
- label: "-3 / 4",
- set: [-3, 4],
- fn: "inverse",
- param: null,
- expect: "-1.(3)"
- }, {
- label: "-19.6",
- set: [-98, 5],
- fn: "equals",
- param: '-19.6',
- expect: "true" // actually, we get a real bool but we call toString() in the test below
- }, {
- label: "-19.6",
- set: [98, -5],
- fn: "equals",
- param: '-19.6',
- expect: "true"
- }, {
- label: "99/88",
- set: [99, 88],
- fn: "equals",
- param: [88, 99],
- expect: "false"
- }, {
- label: "99/88",
- set: [99, -88],
- fn: "equals",
- param: [9, 8],
- expect: "false"
- }, {
- label: "12.5",
- set: 12.5,
- fn: "add",
- param: 0,
- expect: "12.5"
- }, {
- label: "0/1 -> 1/0",
- set: 0,
- fn: "inverse",
- param: null,
- expectError: DivisionByZero()
- }, {
- label: "abs(-100.25)",
- set: -100.25,
- fn: "abs",
- param: null,
- expect: "100.25"
- }, {
- label: "0.022222222",
- set: '0.0(22222222)',
- fn: "abs",
- param: null,
- expect: "0.0(2)"
- }, {
- label: "1.5 | 100.5",
- set: 100.5,
- fn: "divisible",
- param: '1.5',
- expect: "true"
- }, {
- label: "1.5 | 100.6",
- set: 100.6,
- fn: "divisible",
- param: 1.6,
- expect: "false"
- }, {
- label: "(1/6) | (2/3)", // == 4
- set: [2, 3],
- fn: "divisible",
- param: [1, 6],
- expect: "true"
- }, {
- label: "(1/6) | (2/5)",
- set: [2, 5],
- fn: "divisible",
- param: [1, 6],
- expect: "false"
- }, {
- label: "0 | (2/5)",
- set: [2, 5],
- fn: "divisible",
- param: 0,
- expect: "false"
- }, {
- label: "6 | 0",
- set: 0,
- fn: "divisible",
- param: 6,
- expect: "true"
- }, {
- label: "fmod(4.55, 0.05)", // http://phpjs.org/functions/fmod/ (comment section)
- set: 4.55,
- fn: "mod",
- param: 0.05,
- expect: "0"
- }, {
- label: "fmod(99.12, 0.4)",
- set: 99.12,
- fn: "mod",
- param: "0.4",
- expect: "0.32"
- }, {
- label: "fmod(fmod(1.0,0.1))", // http://stackoverflow.com/questions/4218961/why-fmod1-0-0-1-1
- set: 1.0,
- fn: "mod",
- param: 0.1,
- expect: "0"
- }, {
- label: "bignum",
- set: [5385020324, 1673196525],
- fn: "add",
- param: 0,
- expect: "3.21(840276592733181776121606516006839065124164060763872313206005492988936251824931324190982287630557922656455433410609073551596098372245902196097377144624418820138297860736950789447760776337973807350574075570710380240599651018280712721418065340531352107607323652551812465663589637206543923464101146157950573080469432602963360804254598843372567965379918536467197121390148715495330113717514444395585868193217769203770011415724163065662594535928766646225254382476081224230369471990147720394052336440275597631903998844367669243157195775313960803259497565595290726533154854597848271290188102679689703515252041298615534717298077104242133182771222884293284077911887845930112722413166618308629346454087334421161315763550250022184333666363549254920906556389124702491239037207539024741878423396797336762338781453063321417070239253574830368476888869943116813489676593728283053898883754853602746993512910863832926021645903191198654921901657666901979730085800889408373591978384009612977172541043856160291750546158945674358246709841810124486123947693472528578195558946669459524487119048971249805817042322628538808374587079661786890216019304725725509141850506771761314768448972244907094819599867385572056456428511886850828834945135927771544947477105237234460548500123140047759781236696030073335228807028510891749551057667897081007863078128255137273847732859712937785356684266362554153643129279150277938809369688357439064129062782986595074359241811119587401724970711375341877428295519559485099934689381452068220139292962014728066686607540019843156200674036183526020650801913421377683054893985032630879985)"
- }, {
- label: "ceil(0.4)",
- set: 0.4,
- fn: "ceil",
- param: null,
- expect: "1"
- },
- {
- label: "1 < 2",
- set: 1,
- fn: "lt",
- param: 2,
- expect: "true"
- }, {
- label: "2 < 2",
- set: 2,
- fn: "lt",
- param: 2,
- expect: "false"
- }, {
- label: "3 > 2",
- set: 3,
- fn: "gt",
- param: 2,
- expect: "true"
- }, {
- label: "2 > 2",
- set: 2,
- fn: "gt",
- param: 2,
- expect: "false"
- }, {
- label: "1 <= 2",
- set: 1,
- fn: "lte",
- param: 2,
- expect: "true"
- }, {
- label: "2 <= 2",
- set: 2,
- fn: "lte",
- param: 2,
- expect: "true"
- }, {
- label: "3 <= 2",
- set: 3,
- fn: "lte",
- param: 2,
- expect: "false"
- }, {
- label: "3 >= 2",
- set: 3,
- fn: "gte",
- param: 2,
- expect: "true"
- }, {
- label: "2 >= 2",
- set: 2,
- fn: "gte",
- param: 2,
- expect: "true"
- }, {
- label: "ceil(0.5)",
- set: 0.5,
- fn: "ceil",
- param: null,
- expect: "1"
- }, {
- label: "ceil(0.23, 2)",
- set: 0.23,
- fn: "ceil",
- param: 2,
- expect: "0.23"
- }, {
- label: "ceil(0.6)",
- set: 0.6,
- fn: "ceil",
- param: null,
- expect: "1"
- }, {
- label: "ceil(-0.4)",
- set: -0.4,
- fn: "ceil",
- param: null,
- expect: "0"
- }, {
- label: "ceil(-0.5)",
- set: -0.5,
- fn: "ceil",
- param: null,
- expect: "0"
- }, {
- label: "ceil(-0.6)",
- set: -0.6,
- fn: "ceil",
- param: null,
- expect: "0"
- }, {
- label: "floor(0.4)",
- set: 0.4,
- fn: "floor",
- param: null,
- expect: "0"
- }, {
- label: "floor(0.4, 1)",
- set: 0.4,
- fn: "floor",
- param: 1,
- expect: "0.4"
- }, {
- label: "floor(0.5)",
- set: 0.5,
- fn: "floor",
- param: null,
- expect: "0"
- }, {
- label: "floor(0.6)",
- set: 0.6,
- fn: "floor",
- param: null,
- expect: "0"
- }, {
- label: "floor(-0.4)",
- set: -0.4,
- fn: "floor",
- param: null,
- expect: "-1"
- }, {
- label: "floor(-0.5)",
- set: -0.5,
- fn: "floor",
- param: null,
- expect: "-1"
- }, {
- label: "floor(-0.6)",
- set: -0.6,
- fn: "floor",
- param: null,
- expect: "-1"
- }, {
- label: "floor(10.4)",
- set: 10.4,
- fn: "floor",
- param: null,
- expect: "10"
- }, {
- label: "floor(10.4, 1)",
- set: 10.4,
- fn: "floor",
- param: 1,
- expect: "10.4"
- }, {
- label: "floor(10.5)",
- set: 10.5,
- fn: "floor",
- param: null,
- expect: "10"
- }, {
- label: "floor(10.6)",
- set: 10.6,
- fn: "floor",
- param: null,
- expect: "10"
- }, {
- label: "floor(-10.4)",
- set: -10.4,
- fn: "floor",
- param: null,
- expect: "-11"
- }, {
- label: "floor(-10.5)",
- set: -10.5,
- fn: "floor",
- param: null,
- expect: "-11"
- }, {
- label: "floor(-10.6)",
- set: -10.6,
- fn: "floor",
- param: null,
- expect: "-11"
- }, {
- label: "floor(-10.543,3)",
- set: -10.543,
- fn: "floor",
- param: 3,
- expect: "-10.543"
- }, {
- label: "floor(10.543,3)",
- set: 10.543,
- fn: "floor",
- param: 3,
- expect: "10.543"
- }, {
- label: "round(-10.543,3)",
- set: -10.543,
- fn: "round",
- param: 3,
- expect: "-10.543"
- }, {
- label: "round(10.543,3)",
- set: 10.543,
- fn: "round",
- param: 3,
- expect: "10.543"
- }, {
- label: "round(10.4)",
- set: 10.4,
- fn: "round",
- param: null,
- expect: "10"
- }, {
- label: "round(10.5)",
- set: 10.5,
- fn: "round",
- param: null,
- expect: "11"
- }, {
- label: "round(10.5, 1)",
- set: 10.5,
- fn: "round",
- param: 1,
- expect: "10.5"
- }, {
- label: "round(10.6)",
- set: 10.6,
- fn: "round",
- param: null,
- expect: "11"
- }, {
- label: "round(-10.4)",
- set: -10.4,
- fn: "round",
- param: null,
- expect: "-10"
- }, {
- label: "round(-10.5)",
- set: -10.5,
- fn: "round",
- param: null,
- expect: "-10"
- }, {
- label: "round(-10.6)",
- set: -10.6,
- fn: "round",
- param: null,
- expect: "-11"
- }, {
- label: "round(-0.4)",
- set: -0.4,
- fn: "round",
- param: null,
- expect: "0"
- }, {
- label: "round(-0.5)",
- set: -0.5,
- fn: "round",
- param: null,
- expect: "0"
- }, {
- label: "round(-0.6)",
- set: -0.6,
- fn: "round",
- param: null,
- expect: "-1"
- }, {
- label: "round(-0)",
- set: -0,
- fn: "round",
- param: null,
- expect: "0"
- }, {
- label: "round(big fraction)",
- set: [
- '409652136432929109317120'.repeat(100),
- '63723676445298091081155'.repeat(100)
- ],
- fn: "round",
- param: null,
- expect: "6428570341270001560623330590225448467479093479780591305451264291405695842465355472558570608574213642"
- }, {
- label: "round(big numerator)",
- set: ['409652136432929109317'.repeat(100), 10],
- fn: "round",
- param: null,
- expect: '409652136432929109317'.repeat(99) + '40965213643292910932'
- }, {
- label: "17402216385200408/5539306332998545",
- set: [17402216385200408, 5539306332998545],
- fn: "add",
- param: 0,
- expect: "3.141587653589870"
- }, {
- label: "17402216385200401/553930633299855",
- set: [17402216385200401, 553930633299855],
- fn: "add",
- param: 0,
- expect: "31.415876535898660"
- }, {
- label: "1283191/418183",
- set: [1283191, 418183],
- fn: "add",
- param: 0,
- expect: "3.068491545567371"
- }, {
- label: "1.001",
- set: "1.001",
- fn: "add",
- param: 0,
- expect: "1.001"
- }, {
- label: "99+1",
- set: [99, 1],
- fn: "add",
- param: 1,
- expect: "100"
- }, {
- label: "gcd(5/8, 3/7)",
- set: [5, 8],
- fn: "gcd",
- param: [3, 7],
- expect: "0.017(857142)" // == 1/56
- }, {
- label: "gcd(52, 39)",
- set: 52,
- fn: "gcd",
- param: 39,
- expect: "13"
- }, {
- label: "gcd(51357, 3819)",
- set: 51357,
- fn: "gcd",
- param: 3819,
- expect: "57"
- }, {
- label: "gcd(841, 299)",
- set: 841,
- fn: "gcd",
- param: 299,
- expect: "1"
- }, {
- label: "gcd(2/3, 7/5)",
- set: [2, 3],
- fn: "gcd",
- param: [7, 5],
- expect: "0.0(6)" // == 1/15
- }, {
- label: "lcm(-3, 3)",
- set: -3,
- fn: "lcm",
- param: 3,
- expect: "3"
- }, {
- label: "lcm(3,-3)",
- set: 3,
- fn: "lcm",
- param: -3,
- expect: "3"
- }, {
- label: "lcm(0,3)",
- set: 0,
- fn: "lcm",
- param: 3,
- expect: "0"
- }, {
- label: "lcm(3, 0)",
- set: 3,
- fn: "lcm",
- param: 0,
- expect: "0"
- }, {
- label: "lcm(0, 0)",
- set: 0,
- fn: "lcm",
- param: 0,
- expect: "0"
- }, {
- label: "lcm(200, 333)",
- set: 200,
- fn: "lcm",
- param: 333, expect: "66600"
- },
- {
- label: "1 + -1",
- set: 1,
- fn: "add",
- param: -1,
- expect: "0"
- }, {
- label: "3/10+3/14",
- set: "3/10",
- fn: "add",
- param: "3/14",
- expect: "0.5(142857)"
- }, {
- label: "3/10-3/14",
- set: "3/10",
- fn: "sub",
- param: "3/14",
- expect: "0.0(857142)"
- }, {
- label: "3/10*3/14",
- set: "3/10",
- fn: "mul",
- param: "3/14",
- expect: "0.06(428571)"
- }, {
- label: "3/10 / 3/14",
- set: "3/10",
- fn: "div",
- param: "3/14",
- expect: "1.4"
- }, {
- label: "1-2",
- set: "1",
- fn: "sub",
- param: "2",
- expect: "-1"
- }, {
- label: "1--1",
- set: "1",
- fn: "sub",
- param: "-1",
- expect: "2"
- }, {
- label: "0/1*1/3",
- set: "0/1",
- fn: "mul",
- param: "1/3",
- expect: "0"
- }, {
- label: "3/10 * 8/12",
- set: "3/10",
- fn: "mul",
- param: "8/12",
- expect: "0.2"
- }, {
- label: ".5+5",
- set: ".5",
- fn: "add",
- param: 5, expect: "5.5"
- },
- {
- label: "10/12-5/60",
- set: "10/12",
- fn: "sub",
- param: "5/60",
- expect: "0.75"
- }, {
- label: "10/15 / 3/4",
- set: "10/15",
- fn: "div",
- param: "3/4",
- expect: "0.(8)"
- }, {
- label: "1/4 + 3/8",
- set: "1/4",
- fn: "add",
- param: "3/8",
- expect: "0.625"
- }, {
- label: "2-1/3",
- set: "2",
- fn: "sub",
- param: "1/3",
- expect: "1.(6)"
- }, {
- label: "5*6",
- set: "5",
- fn: "mul",
- param: 6,
- expect: "30"
- }, {
- label: "1/2-1/5",
- set: "1/2",
- fn: "sub",
- param: "1/5",
- expect: "0.3"
- }, {
- label: "1/2-5",
- set: "1/2",
- fn: "add",
- param: -5,
- expect: "-4.5"
- }, {
- label: "1*-1",
- set: "1",
- fn: "mul",
- param: -1,
- expect: "-1"
- }, {
- label: "5/10",
- set: 5.0,
- fn: "div",
- param: 10,
- expect: "0.5"
- }, {
- label: "1/-1",
- set: "1",
- fn: "div",
- param: -1,
- expect: "-1"
- }, {
- label: "4/5 + 13/2",
- set: "4/5",
- fn: "add",
- param: "13/2",
- expect: "7.3"
- }, {
- label: "4/5 + 61/2",
- set: "4/5",
- fn: "add",
- param: "61/2",
- expect: "31.3"
- }, {
- label: "0.8 + 6.5",
- set: "0.8",
- fn: "add",
- param: "6.5",
- expect: "7.3"
- }, {
- label: "2/7 inverse",
- set: "2/7",
- fn: "inverse",
- param: null,
- expect: "3.5"
- }, {
- label: "neg 1/3",
- set: "1/3",
- fn: "neg",
- param: null,
- expect: "-0.(3)"
- }, {
- label: "1/2+1/3",
- set: "1/2",
- fn: "add",
- param: "1/3",
- expect: "0.8(3)"
- }, {
- label: "1/2+3",
- set: ".5",
- fn: "add",
- param: 3,
- expect: "3.5"
- }, {
- label: "1/2+3.14",
- set: "1/2",
- fn: "add",
- param: "3.14",
- expect: "3.64"
- }, {
- label: "3.5 < 4.1",
- set: 3.5,
- fn: "compare",
- param: 4.1,
- expect: "-1"
- }, {
- label: "3.5 > 4.1",
- set: 4.1,
- fn: "compare",
- param: 3.1,
- expect: "1"
- }, {
- label: "-3.5 > -4.1",
- set: -3.5,
- fn: "compare",
- param: -4.1,
- expect: "1"
- }, {
- label: "-3.5 > -4.1",
- set: -4.1,
- fn: "compare",
- param: -3.5,
- expect: "-1"
- }, {
- label: "4.3 == 4.3",
- set: 4.3,
- fn: "compare",
- param: 4.3,
- expect: "0"
- }, {
- label: "-4.3 == -4.3",
- set: -4.3,
- fn: "compare",
- param: -4.3,
- expect: "0"
- }, {
- label: "-4.3 < 4.3",
- set: -4.3,
- fn: "compare",
- param: 4.3,
- expect: "-1"
- }, {
- label: "4.3 == -4.3",
- set: 4.3,
- fn: "compare",
- param: -4.3,
- expect: "1"
- }, {
- label: "2^0.5",
- set: 2,
- fn: "pow",
- param: 0.5,
- expect: "null"
- }, {
- label: "(-8/27)^(1/3)",
- set: [-8, 27],
- fn: "pow",
- param: [1, 3],
- expect: "null"
- }, {
- label: "(-8/27)^(2/3)",
- set: [-8, 27],
- fn: "pow",
- param: [2, 3],
- expect: "null"
- }, {
- label: "(-32/243)^(5/3)",
- set: [-32, 243],
- fn: "pow",
- param: [5, 3],
- expect: "null"
- }, {
- label: "sqrt(0)",
- set: 0,
- fn: "pow",
- param: 0.5,
- expect: "0"
- }, {
- label: "27^(2/3)",
- set: 27,
- fn: "pow",
- param: "2/3",
- expect: "9"
- }, {
- label: "(243/1024)^(2/5)",
- set: "243/1024",
- fn: "pow",
- param: "2/5",
- expect: "0.5625"
- }, {
- label: "-0.5^-3",
- set: -0.5,
- fn: "pow",
- param: -3,
- expect: "-8"
- }, {
- label: "",
- set: -3,
- fn: "pow",
- param: -3,
- expect: "-0.(037)"
- }, {
- label: "-3",
- set: -3,
- fn: "pow",
- param: 2,
- expect: "9"
- }, {
- label: "-3",
- set: -3,
- fn: "pow",
- param: 3,
- expect: "-27"
- }, {
- label: "0^0",
- set: 0,
- fn: "pow",
- param: 0,
- expect: "1"
- }, {
- label: "2/3^7",
- set: [2, 3],
- fn: "pow",
- param: 7,
- expect: "0.(058527663465935070873342478280749885688157293095564700502972107910379515317786922725194330132601737540009144947416552354823959762231367169638774577046181984453589391860996799268404206675811614083219021490626428898033836305441243712848651120256)"
- }, {
- label: "-0.6^4",
- set: -0.6,
- fn: "pow",
- param: 4,
- expect: "0.1296"
- }, {
- label: "8128371:12394 - 8128371/12394",
- set: "8128371:12394",
- fn: "sub",
- param: "8128371/12394",
- expect: "0"
- }, {
- label: "3/4 + 1/4",
- set: "3/4",
- fn: "add",
- param: "1/4",
- expect: "1"
- }, {
- label: "1/10 + 2/10",
- set: "1/10",
- fn: "add",
- param: "2/10",
- expect: "0.3"
- }, {
- label: "5/10 + 2/10",
- set: "5/10",
- fn: "add",
- param: "2/10",
- expect: "0.7"
- }, {
- label: "18/10 + 2/10",
- set: "18/10",
- fn: "add",
- param: "2/10",
- expect: "2"
- }, {
- label: "1/3 + 1/6",
- set: "1/3",
- fn: "add",
- param: "1/6",
- expect: "0.5"
- }, {
- label: "1/3 + 2/6",
- set: "1/3",
- fn: "add",
- param: "2/6",
- expect: "0.(6)"
- }, {
- label: "3/4 / 1/4",
- set: "3/4",
- fn: "div",
- param: "1/4",
- expect: "3"
- }, {
- label: "1/10 / 2/10",
- set: "1/10",
- fn: "div",
- param: "2/10",
- expect: "0.5"
- }, {
- label: "5/10 / 2/10",
- set: "5/10",
- fn: "div",
- param: "2/10",
- expect: "2.5"
- }, {
- label: "18/10 / 2/10",
- set: "18/10",
- fn: "div",
- param: "2/10",
- expect: "9"
- }, {
- label: "1/3 / 1/6",
- set: "1/3",
- fn: "div",
- param: "1/6",
- expect: "2"
- }, {
- label: "1/3 / 2/6",
- set: "1/3",
- fn: "div",
- param: "2/6",
- expect: "1"
- }, {
- label: "3/4 * 1/4",
- set: "3/4",
- fn: "mul",
- param: "1/4",
- expect: "0.1875"
- }, {
- label: "1/10 * 2/10",
- set: "1/10",
- fn: "mul",
- param: "2/10",
- expect: "0.02"
- }, {
- label: "5/10 * 2/10",
- set: "5/10",
- fn: "mul",
- param: "2/10",
- expect: "0.1"
- }, {
- label: "18/10 * 2/10",
- set: "18/10",
- fn: "mul",
- param: "2/10",
- expect: "0.36"
- }, {
- label: "1/3 * 1/6",
- set: "1/3",
- fn: "mul",
- param: "1/6",
- expect: "0.0(5)"
- }, {
- label: "1/3 * 2/6",
- set: "1/3",
- fn: "mul",
- param: "2/6",
- expect: "0.(1)"
- }, {
- label: "5/4 - 1/4",
- set: "5/4",
- fn: "sub",
- param: "1/4",
- expect: "1"
- }, {
- label: "5/10 - 2/10",
- set: "5/10",
- fn: "sub",
- param: "2/10",
- expect: "0.3"
- }, {
- label: "9/10 - 2/10",
- set: "9/10",
- fn: "sub",
- param: "2/10",
- expect: "0.7"
- }, {
- label: "22/10 - 2/10",
- set: "22/10",
- fn: "sub",
- param: "2/10",
- expect: "2"
- }, {
- label: "2/3 - 1/6",
- set: "2/3",
- fn: "sub",
- param: "1/6",
- expect: "0.5"
- }, {
- label: "3/3 - 2/6",
- set: "3/3",
- fn: "sub",
- param: "2/6",
- expect: "0.(6)"
- }, {
- label: "0.006999999999999999",
- set: 0.006999999999999999,
- fn: "add",
- param: 0,
- expect: "0.007"
- }, {
- label: "1/7 - 1",
- set: 1 / 7,
- fn: "add",
- param: -1,
- expect: "-0.(857142)"
- }, {
- label: "0.0065 + 0.0005",
- set: 0.0065,
- fn: "add",
- param: 0.0005,
- expect: "0.007"
- }, {
- label: "6.5/.5",
- set: 6.5,
- fn: "div",
- param: .5,
- expect: "13"
- }, {
- label: "0.999999999999999999999999999",
- set: 0.999999999999999999999999999,
- fn: "sub",
- param: 1,
- expect: "0"
- }, {
- label: "0.5833333333333334",
- set: 0.5833333333333334,
- fn: "add",
- param: 0,
- expect: "0.58(3)"
- }, {
- label: "1.75/3",
- set: 1.75 / 3,
- fn: "add",
- param: 0,
- expect: "0.58(3)"
- }, {
- label: "3.3333333333333",
- set: 3.3333333333333,
- fn: "add",
- param: 0,
- expect: "3.(3)"
- }, {
- label: "4.285714285714285714285714",
- set: 4.285714285714285714285714,
- fn: "add",
- param: 0,
- expect: "4.(285714)"
- }, {
- label: "-4",
- set: -4,
- fn: "neg",
- param: 0,
- expect: "4"
- }, {
- label: "4",
- set: 4,
- fn: "neg",
- param: 0,
- expect: "-4"
- }, {
- label: "0",
- set: 0,
- fn: "neg",
- param: 0,
- expect: "0"
- }, {
- label: "6869570742453802/5329686054127205",
- set: "6869570742453802/5329686054127205",
- fn: "neg",
- param: 0,
- expect: "-1.288925965373540"
- }, {
- label: "686970702/53212205",
- set: "686970702/53212205",
- fn: "neg",
- param: 0,
- expect: "-12.910021338149772"
- }, {
- label: "1/3000000000000000",
- set: "1/3000000000000000",
- fn: "add",
- param: 0,
- expect: "0.000000000000000(3)"
- }, {
- label: "toString(15) .0000000000000003",
- set: ".0000000000000003",
- fn: "toString",
- param: 15,
- expect: "0.000000000000000"
- }, {
- label: "toString(16) .0000000000000003",
- set: ".0000000000000003",
- fn: "toString",
- param: 16,
- expect: "0.0000000000000003"
- }, {
- label: "12 / 4.3",
- set: 12,
- set2: 4.3,
- fn: "toString",
- param: null,
- expectError: NonIntegerParameter()
- }, {
- label: "12.5 / 4",
- set: 12.5,
- set2: 4,
- fn: "toString",
- param: null,
- expectError: NonIntegerParameter()
- }, {
- label: "0.9 round to multiple of 1/8",
- set: .9,
- fn: "roundTo",
- param: "1/8",
- expect: "0.875"
- }, {
- label: "1/3 round to multiple of 1/16",
- set: 1 / 3,
- fn: "roundTo",
- param: "1/16",
- expect: "0.3125"
- }, {
- label: "1/3 round to multiple of 1/16",
- set: -1 / 3,
- fn: "roundTo",
- param: "1/16",
- expect: "-0.3125"
- }, {
- label: "1/2 round to multiple of 1/4",
- set: 1 / 2,
- fn: "roundTo",
- param: "1/4",
- expect: "0.5"
- }, {
- label: "1/4 round to multiple of 1/2",
- set: 1 / 4,
- fn: "roundTo",
- param: "1/2",
- expect: "0.5"
- }, {
- label: "10/3 round to multiple of 1/2",
- set: "10/3",
- fn: "roundTo",
- param: "1/2",
- expect: "3.5"
- }, {
- label: "-10/3 round to multiple of 1/2",
- set: "-10/3",
- fn: "roundTo",
- param: "1/2",
- expect: "-3.5"
- }, {
- label: "log_2(8)",
- set: "8",
- fn: "log",
- param: "2",
- expect: "3" // because 2^3 = 8
- }, {
- label: "log_2(3)",
- set: "3",
- fn: "log",
- param: "2",
- expect: 'null' // because 2^(p/q) != 3
- }, {
- label: "log_10(1000)",
- set: "1000",
- fn: "log",
- param: "10",
- expect: "3" // because 10^3 = 1000
- }, {
- label: "log_27(81)",
- set: "81",
- fn: "log",
- param: "27",
- expect: "1.(3)" // because 27^(4/3) = 81
- }, {
- label: "log_27(9)",
- set: "9",
- fn: "log",
- param: "27",
- expect: "0.(6)" // because 27^(2/3) = 9
- }, {
- label: "log_9/4(27/8)",
- set: "27/8",
- fn: "log",
- param: "9/4",
- expect: "1.5" // because (9/4)^(3/2) = 27/8
- }];
- describe('Fraction', function () {
- for (var i = 0; i < tests.length; i++) {
- (function (i) {
- var action;
- if (tests[i].fn) {
- action = function () {
- var x = Fraction(tests[i].set, tests[i].set2)[tests[i].fn](tests[i].param);
- if (x === null) return "null";
- return x.toString();
- };
- } else {
- action = function () {
- var x = new Fraction(tests[i].set, tests[i].set2);
- if (x === null) return "null";
- return x.toString();
- };
- }
- it(String(tests[i].label || tests[i].set), function () {
- if (tests[i].expectError) {
- assert.throws(action, tests[i].expectError);
- } else {
- assert.equal(action(), tests[i].expect);
- }
- });
- })(i);
- }
- });
- describe('JSON', function () {
- it("Should be possible to stringify the object", function () {
- if (typeof Fraction(1).n !== 'number') {
- return;
- }
- assert.equal('{"s":1,"n":14623,"d":330}', JSON.stringify(new Fraction("44.3(12)")));
- assert.equal('{"s":-1,"n":2,"d":1}', JSON.stringify(new Fraction(-1 / 2).inverse()));
- });
- });
- describe('Arguments', function () {
- it("Should be possible to use different kind of params", function () {
- // String
- var fraction = new Fraction("0.1");
- assert.equal("1/10", fraction.n + "/" + fraction.d);
- var fraction = new Fraction("6234/6460");
- assert.equal("3117/3230", fraction.n + "/" + fraction.d);
- // Two params
- var fraction = new Fraction(1, 2);
- assert.equal("1/2", fraction.n + "/" + fraction.d);
- // Object
- var fraction = new Fraction({ n: 1, d: 3 });
- assert.equal("1/3", fraction.n + "/" + fraction.d);
- // Array
- var fraction = new Fraction([1, 4]);
- assert.equal("1/4", fraction.n + "/" + fraction.d);
- });
- });
- describe('fractions', function () {
- it("Should pass 0.08 = 2/25", function () {
- var fraction = new Fraction("0.08");
- assert.equal("2/25", fraction.n + "/" + fraction.d);
- });
- it("Should pass 0.200 = 1/5", function () {
- var fraction = new Fraction("0.200");
- assert.equal("1/5", fraction.n + "/" + fraction.d);
- });
- it("Should pass 0.125 = 1/8", function () {
- var fraction = new Fraction("0.125");
- assert.equal("1/8", fraction.n + "/" + fraction.d);
- });
- it("Should pass 8.36 = 209/25", function () {
- var fraction = new Fraction(8.36);
- assert.equal("209/25", fraction.n + "/" + fraction.d);
- });
- });
- describe('constructors', function () {
- it("Should pass 0.08 = 2/25", function () {
- var tmp = new Fraction({ d: 4, n: 2, s: -1 });
- assert.equal("-1/2", tmp.s * tmp.n + "/" + tmp.d);
- var tmp = new Fraction(-88.3);
- assert.equal("-883/10", tmp.s * tmp.n + "/" + tmp.d);
- var tmp = new Fraction(-88.3).clone();
- assert.equal("-883/10", tmp.s * tmp.n + "/" + tmp.d);
- var tmp = new Fraction("123.'3'");
- assert.equal("370/3", tmp.s * tmp.n + "/" + tmp.d);
- var tmp = new Fraction("123.'3'").clone();
- assert.equal("370/3", tmp.s * tmp.n + "/" + tmp.d);
- var tmp = new Fraction([-1023461776, 334639305]);
- tmp = tmp.add([4, 25]);
- assert.equal("-4849597436/1673196525", tmp.s * tmp.n + "/" + tmp.d);
- });
- });
- describe('Latex Output', function () {
- it("Should pass 123.'3' = \\frac{370}{3}", function () {
- var tmp = new Fraction("123.'3'");
- assert.equal("\\frac{370}{3}", tmp.toLatex());
- });
- it("Should pass 1.'3' = \\frac{4}{3}", function () {
- var tmp = new Fraction("1.'3'");
- assert.equal("\\frac{4}{3}", tmp.toLatex());
- });
- it("Should pass -1.0000000000 = -1", function () {
- var tmp = new Fraction("-1.0000000000");
- assert.equal('-1', tmp.toLatex());
- });
- it("Should pass -0.0000000000 = 0", function () {
- var tmp = new Fraction("-0.0000000000");
- assert.equal('0', tmp.toLatex());
- });
- });
- describe('Fraction Output', function () {
- it("Should pass 123.'3' = 123 1/3", function () {
- var tmp = new Fraction("123.'3'");
- assert.equal('370/3', tmp.toFraction());
- });
- it("Should pass 1.'3' = 1 1/3", function () {
- var tmp = new Fraction("1.'3'");
- assert.equal('4/3', tmp.toFraction());
- });
- it("Should pass -1.0000000000 = -1", function () {
- var tmp = new Fraction("-1.0000000000");
- assert.equal('-1', tmp.toFraction());
- });
- it("Should pass -0.0000000000 = 0", function () {
- var tmp = new Fraction("-0.0000000000");
- assert.equal('0', tmp.toFraction());
- });
- it("Should pass 1/-99/293 = -1/29007", function () {
- var tmp = new Fraction(-99).inverse().div(293);
- assert.equal('-1/29007', tmp.toFraction());
- });
- it('Should work with large calculations', function () {
- var x = Fraction(1123875);
- var y = Fraction(1238750184);
- var z = Fraction(1657134);
- var r = Fraction(77344464613500, 92063);
- assert.equal(x.mul(y).div(z).toFraction(), r.toFraction());
- });
- });
- describe('Fraction toContinued', function () {
- it("Should pass 415/93", function () {
- var tmp = new Fraction(415, 93);
- assert.equal('4,2,6,7', tmp.toContinued().toString());
- });
- it("Should pass 0/2", function () {
- var tmp = new Fraction(0, 2);
- assert.equal('0', tmp.toContinued().toString());
- });
- it("Should pass 1/7", function () {
- var tmp = new Fraction(1, 7);
- assert.equal('0,7', tmp.toContinued().toString());
- });
- it("Should pass 23/88", function () {
- var tmp = new Fraction('23/88');
- assert.equal('0,3,1,4,1,3', tmp.toContinued().toString());
- });
- it("Should pass 1/99", function () {
- var tmp = new Fraction('1/99');
- assert.equal('0,99', tmp.toContinued().toString());
- });
- it("Should pass 1768/99", function () {
- var tmp = new Fraction('1768/99');
- assert.equal('17,1,6,14', tmp.toContinued().toString());
- });
- it("Should pass 1768/99", function () {
- var tmp = new Fraction('7/8');
- assert.equal('0,1,7', tmp.toContinued().toString());
- });
- });
- describe('Fraction simplify', function () {
- it("Should pass 415/93", function () {
- var tmp = new Fraction(415, 93);
- assert.equal('9/2', tmp.simplify(0.1).toFraction());
- assert.equal('58/13', tmp.simplify(0.01).toFraction());
- assert.equal('415/93', tmp.simplify(0.0001).toFraction());
- });
- });
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