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JavaScript library that handles arithmetic for numbers as large as {10,9e15,1,1,1,2}.","maintainers":[{"name":"veryrrdefine","email":"1308061599@qq.com"}],"readme":"# PowiainaNum.js\n\n[![npm](https://img.shields.io/npm/v/powiaina_num.js.svg)](https://www.npmjs.com/package/powiaina_num.js)\n\nA JavaScript library that handles arithmetic for numbers as large as {10,9e15,1,1,1,2}.\n\nThis reaches level f<sub>ω<sup>3</sup>+1</sub>, which the operation [powiaination](https://googology.fandom.com/wiki/Powiaination) also is at, hence the name.\n\nInternally, it is represented as an sign, array, small, and layer. Sign is 1 or -1. . Layer is a non-negative integer.\n\nThe operator interface is `interface {arrow: number; expans: number; megota: number; repeat: number;}`;\n\nThe array is an array types `Operator[]`\n\nwhen $$f(x) = \\{10, 10, 10, 10, x\\}$$\n$$g_{a,b,c}(x) = \\text{a,b is not Infinity}=\\{10,x,a,b,c\\},\\text{a is Infinity}=\\{10,10,x,b,c\\},\\text{b is Infinity}=\\{10,10,10,x,c\\}$$\n$$o_x = \\text{last }x\\text{th operator of array}  $$\n$$s*{ign} = \\text{PN's sign property}$$\n$$l*{ayer} = \\text{PN's layer property}$$\n$$e*{xp} = \\text{if PN's small property is false, }e*{xp}=1,\\text{Otherwise,}e*{xp}=-1$$\nThey together respents $(s*{ign}\\times f^{l*{ayer}} g*{o*1.arrow, o_1.expans, o_1.megota}^{o_1.repeat} g*{o*2.arrow, o_2.expans, o_2.megota}^{o_2.repeat} ...)^{e*{xp}}$\n\nIf arrow count or expans count is Infinite, the count replaces to the next operators.\n\nSome codes snippet from [ExpantaNum.js by Naruyoko](https://github.com/Naruyoko/ExpantaNum.js)\n\nFunctions are as follows `abs, neg, add, sub, mul, div, rec, pow, pow10, pow_base, sqrt, cbrt, root, log10, log, cmp, rec, gamma, mod, exp, ln, slog, factorial, tetrate_10, isFinite, isInfinite, isNaN, tetrate, lambertw, toString, toJSON, floor, ceil, round, trunc, clampMax, clampMin, arrow, expansion, expansionArrow, multiExpansion, powerExpansion, explosion, megotion, BEAF, powiaination`\n\n## Using\n\nThe library exports a class,\nCreate a PowiainaNum.js object like this:\n\n```javascript\nimport PowiainaNum from \"powiaina_num.js\"; // static import\nconst { default: PowiainaNum } = await import(\"powiaina_num.js\"); // dynamic import\n\nlet a = new PowiainaNum(); // create PN.js number with NaN\nlet b = new PowiainaNum(3); // create PN.js number with number 3\nlet c = new PowiainaNum(\"1e114514\"); // create PN.js number with number 10^114514\n\nlet d = new PowiainaNum(c); // create PN.js number from a PN.js number\n\nlet e = new PowiainaNum([\n  [0, 23.2352],\n  [1, 2],\n  [2, 6],\n  [3, 0],\n  [4, 1],\n  [5, 4],\n]); // You can also use a pair number array which from ExpantaNum.js\n\nlet f = new PowiainaNum(\"(10^^^)^114514 e1919810\"); // ExpantaNum.js string form\n\nlet g = new PowiainaNum(\"10{!}e1919810\"); // 10{!} = 10{x}10, x points to e1919810, 10{!} = J in ExpantaNum.js\nlet h = new PowiainaNum(\"10{1,2}ee114514\"); // {10, ee114514, 1, 2}\nlet i = new PowiainaNum(\"10{1,514,114}ee114514\"); // {10, ee114514, 1, 514, 114}\nlet j = new PowiainaNum(\"/10{1,514,114}ee114514\"); // Very small numbers ({10, ee114514, 1, 514, 114})^-1\nlet k = new PowiainaNum(\"(e^114514)1919810\"); // break_eternity.js (e^x) form\nlet k = new PowiainaNum(\"l0 s1 a[10,[114,514,1919,810]]\"); // 0.1.x PowiainaNum.js .toString(1)\n```\n\nIn browser, you can download `dist/PowiainaNum.min.js` or use\n\n```html\n<script src=\"https://unpkg.com/powiaina_num.js\"></script>\n```\n\nJavascript operators will not work such as `+`, `-`, etc.\nYou should call the equivalent functions instead.\n\n```javascript\nlet a = new PowiainaNum(114514);\nlet b = new PowiainaNum(1919810);\n\n// Calculate a+b:\nlet c = a.add(b); // 1919810+114514\n\n// Calculate a-b:\nlet c = a.sub(b);\n\na.mul(b); // a*b\na.div(b); // a/b\na.pow(b); // a^b\n\na.log10(); // log10(a)\n\n// comparing PN.js numbers\n\na.lt(b); // a is less than b\na.gt(b); // a is greater than b\na.eq(b); // a is equals to b\n```\n\n## Developing\n\nClone this project and then run `npm install`.\n\n### Build project\n\nRun `npm run build` to build this project, js files will produce in `dist` directory.\n\n### Test project\n\nRun `npm test` to test this project.\n\n## Future ideas\n\nExtend `Operator` to nearly infinite keys to reach level f<sub>ω<sup>ω</sup></sub>\n\n```typescript\ninterface Operator {\n  /*P3*/ arrow: number;\n  /*P4*/ expans: number;\n  /*P5*/ megota: number;\n  /*P6*/ powiaina: number;\n  P7: number;\n  .....\n\n  repeat: number;\n\n  valuereplaced?: -1 | 0 | 1 | 2 | ...\n}\n```\n","readmeFilename":"README.md"}