Files
rspade_system/node_modules/fraction.js/tests/fraction.test.js
root 77b4d10af8 Refactor filename naming system and apply convention-based renames
Standardize settings file naming and relocate documentation files
Fix code quality violations from rsx:check
Reorganize user_management directory into logical subdirectories
Move Quill Bundle to core and align with Tom Select pattern
Simplify Site Settings page to focus on core site information
Complete Phase 5: Multi-tenant authentication with login flow and site selection
Add route query parameter rule and synchronize filename validation logic
Fix critical bug in UpdateNpmCommand causing missing JavaScript stubs
Implement filename convention rule and resolve VS Code auto-rename conflict
Implement js-sanitizer RPC server to eliminate 900+ Node.js process spawns
Implement RPC server architecture for JavaScript parsing
WIP: Add RPC server infrastructure for JS parsing (partial implementation)
Update jqhtml terminology from destroy to stop, fix datagrid DOM preservation
Add JQHTML-CLASS-01 rule and fix redundant class names
Improve code quality rules and resolve violations
Remove legacy fatal error format in favor of unified 'fatal' error type
Filter internal keys from window.rsxapp output
Update button styling and comprehensive form/modal documentation
Add conditional fly-in animation for modals
Fix non-deterministic bundle compilation

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>
2025-11-13 19:10:02 +00:00

1807 lines
32 KiB
JavaScript

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());
});
});