[ { "path": ".gitignore", "content": "# Logs\nlogs\n*.log\nnpm-debug.log*\n.next\n\n# Runtime data\npids\n*.pid\n*.seed\n\n# Directory for instrumented libs generated by jscoverage/JSCover\nlib-cov\n\n# Coverage directory used by tools like istanbul\ncoverage\n\n# nyc test coverage\n.nyc_output\n\n# Grunt intermediate storage (http://gruntjs.com/creating-plugins#storing-task-files)\n.grunt\n\n# node-waf configuration\n.lock-wscript\n\n# Compiled binary addons (http://nodejs.org/api/addons.html)\nbuild/Release\n\n# Dependency directories\nnode_modules\njspm_packages\n\n# Optional npm cache directory\n.npm\n\n# Optional REPL history\n.node_repl_history\n\n.vercel\n" }, { "path": "README.md", "content": "# newton\n## A really micro micro-service for advanced math.\nNewton does anything from numerical calculation to symbolic math parsing.\n\n### How does it work?\n1. Send a GET request to newton with a url-encoded math expression and your preferred operation.\n2. Get back a JSON response with your problem solved.\n\n\n### Show me\nLet's find the derivative of x^2.\nSo, we send a request to the newton url saying just that:\n\n-> `https://newton.now.sh/api/v2/derive/x%5E2` (Note the url-encoded `^`)\n\nNow, we get the following response:\n```\n{\n \"operation\":\"derive\",\n \"expression\":\"x^2\",\n \"result\":\"2 x\"\n}\n```\nIt's that simple!\n\n### Get Started\n1. Send a GET request to newton.\n```\nhttps://newton.now.sh/api/v2/:operation/:expression\n```\nNote: `:operation` is the math operation that you want to perform. `:expression` is the *url-encoded* math expression on which you want to operate. **View available operation endpoints below!**\n\n2. That's it! You'll be returned a JSON object with the operation you requested, the expression you provided, and the result of the operation performed on the expression.\n\n### View available endpoints:\n| Operation | API Endpoint | Result |\n|:---------:|:-----------------:|:-----------------:|\n| Simplify | /simplify/2^2+2(2)| 8 |\n| Factor | /factor/x^2 + 2x | x (x + 2) |\n| Derive | /derive/x^2+2x | 2 x + 2 |\n| Integrate | /integrate/x^2+2x | 1/3 x^3 + x^2 + C |\n| Find 0's | /zeroes/x^2+2x | [-2, 0] |\n| Find Tangent| /tangent/2lx^3 | 12 x + -16 |\n| Area Under Curve| /area/2:4lx^3| 60 |\n| Cosine | /cos/pi | -1 |\n| Sine | /sin/0 | 0 |\n| Tangent | /tan/0 | 0 |\n| Inverse Cosine | /arccos/1 | 0 |\n| Inverse Sine | /arcsin/0 | 0 |\n| Inverse Tangent | /arctan/0 | 0 |\n| Absolute Value | /abs/-1 | 1 | \n| Logarithm | /log/2l8 | 3 |\n\n*Keep in mind:*\nTo find the tangent line of a function at a certain x value,\nsend the request as c|f(x) where c is the given x value and f(x) is the function expression, the separator is a vertical bar '|'. See the table above for an example request.\n\nTo find the area under a function, send the request as c:d|f(x) where c is the starting x value, d is the ending x value, and f(x) is the function under which you want the curve between the two x values. \n\nTo compute fractions, enter expressions as numerator(over)denominator. For example, to process 2/4 you must send in your expression as 2(over)4. The result expression will be in standard math notation (1/2, 3/4). \n\n### What have people made?\nSome cool apps and libraries made with Newton include the following:\n- [Newton Bot](https://twitter.com/aunyks/status/813127765646082050) (Coming soon!)\n- [Newton Python Wrapper](https://github.com/ilevn/aionewton)\n- [Newton Clay Microservice](https://clay.run/services/nicoslepicos/newton-api)\n- [PyNewtonMath](https://github.com/benpryke/PyNewtonMath) (Python 3 Wrapper)\n- [NewtonMath.js](https://github.com/benpryke/NewtonMath.js) (Native Node.js Wrapper)\n- [goNewton](https://github.com/Jay9596/goNewton) (GoLang Wrapper)\n- [newtonmath](https://github.com/anaskhan96/newtonmath) (Rust Wrapper)\n- [Newton Telegram Bot](https://t.me/sir_newton_bot)\n- [Ming Newton](https://ming-newton.herokuapp.com)\n- Hopefully more to come!\n\n-----------------------------------------------------------------\nBuilt using [metadelta](https://github.com/metadelta/metadelta-core).\n## Want to support Newton development?\nShop [MEZCLA](https://mezcla.xyz)! \n\nLicensed under the GNU GPLv3 license. \n\n Copyright (C) 2016-2020 Gerald Nash\n\n This program is free software: you can redistribute it and/or modify\n it under the terms of the GNU General Public License as published by\n the Free Software Foundation, either version 3 of the License, or\n (at your option) any later version.\n\n This program is distributed in the hope that it will be useful,\n but WITHOUT ANY WARRANTY; without even the implied warranty of\n MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the\n GNU General Public License for more details.\n\n You should have received a copy of the GNU General Public License\n along with this program. If not, see .\n" }, { "path": "lib/operations.js", "content": "var metadelta = require('@metadelta/core');\n\nmodule.exports = {\n simplify: metadelta.simplify,\n factor: metadelta.factor,\n zeroes: metadelta.zeroes,\n integrate: metadelta.integrate,\n derive: metadelta.derive,\n cos: metadelta.cos,\n sin: metadelta.sin,\n tan: metadelta.tan,\n arccos: metadelta.arccos,\n arcsin: metadelta.arcsin,\n arctan: metadelta.arctan,\n abs: metadelta.abs,\n log: function(expression){\n var base = expression.split('|')[0];\n var arg = expression.split('|')[1];\n return metadelta.log(base, arg);\n },\n tangent: function(expression){\n var data = expression.split('|');\n var at = parseInt(data[0]);\n var f = data[1];\n return metadelta.tangent(f, at);\n },\n area: function(expression){\n var split = expression.split('|');\n var f = split[1];\n var from = split[0].split(':')[0];\n var to = split[0].split(':')[1];\n return '' + metadelta.areaUnder(f, { start: from, finish: to });\n }\n};\n" }, { "path": "package.json", "content": "{\n \"name\": \"newton-api\",\n \"version\": \"1.0.1\",\n \"description\": \"A really micro micro-service for advanced math.\",\n \"main\": \"app.js\",\n \"scripts\": {\n \"start\": \"next start\",\n \"dev\": \"next\",\n \"build\": \"next build\"\n },\n \"repository\": {\n \"type\": \"git\",\n \"url\": \"git+https://github.com/aunyks/newton.git\"\n },\n \"keywords\": [\n \"math\",\n \"newton\",\n \"calculus\",\n \"algebra\",\n \"geometry\",\n \"theory\"\n ],\n \"author\": \"Gerald Nash\",\n \"license\": \"GPLv3\",\n \"private\": true,\n \"bugs\": {\n \"url\": \"https://github.com/aunyks/newton/issues\"\n },\n \"homepage\": \"https://github.com/aunyks/newton#readme\",\n \"dependencies\": {\n \"@metadelta/core\": \"^1.1.2\",\n \"express\": \"^4.14.1\",\n \"next\": \"^9.5.3\",\n \"react\": \"^16.13.1\",\n \"react-dom\": \"^16.13.1\"\n },\n \"devDependencies\": {\n \"colors\": \"^1.1.2\",\n \"request\": \"^2.79.0\"\n }\n}\n" }, { "path": "pages/api/v2/[operation]/[data].js", "content": "import operations from '../../../../lib/operations.js'\n\nmodule.exports = (req, res) => {\n res.setHeader('Access-Control-Allow-Origin', '*')\n res.setHeader('Access-Control-Allow-Headers', 'Origin, X-Requested-With, Content-Type, Accept')\n\n // Get the math function operation based\n // on the operation that we're given\n const f = operations[req.query.operation]\n\n // If the url isn't malformed, send our response\n // with an answer. If not, send an error response\n if (f === undefined) {\n res.statusCode = 400\n res.json({\n error: 'Unknown operation'\n })\n } else {\n // Compute the requested calculation and respond.\n // If we cannot compute it properly (error thrown),\n // then tell the client\n try {\n // The result from passing the data parameter\n // to the operation function\n req.query.data = req.query.data.split('(over)').join('/')\n const computation = f(req.query.data)\n res.statusCode = 200\n res.json({\n operation: req.query.operation,\n expression: req.query.data,\n result: computation\n })\n } catch (err) {\n // Record this error\n console.error(err)\n res.statusCode = 500\n // Let the client know of our inability to\n // perform the requested calculation\n res.json({ error: 'Unable to perform calculation' })\n }\n }\n}\n" }, { "path": "pages/index.js", "content": "import Head from 'next/head'\nexport default function Index({ }) {\n return (\n <>\n \n \n \n newton\n \n \n \n
\n

newton

\n

A really micro micro-service for advanced math.

\n
\n Send this:
\n 
\n            https://newton.now.sh/api/v2/factor/x^2-1\n
\n Get this:\n 
{`\n        {\n          \"operation\":\"factor\",\n          \"expression\":\"x^2 - 1\",\n          \"result\":\"(x - 1) (x + 1)\"\n        }\n        `}\n
\n

See More

\n
\n Supported By:\n
\n MEZCLA\n
\n
\n \n )\n}\n" }, { "path": "test.js", "content": "var req = require('request'); \nvar colors = require('colors');\n\n// Start server\nrequire('./app.js')\n\nvar newtonUrl = 'http://localhost:3000/';\n\nfunction request(route, callback){ \n req(newtonUrl + route, function (error, response, body) {\n var value = JSON.parse(body).result;\n callback(value);\n });\n}\n\n\nfunction assert(expected, route, name){\n expected = JSON.stringify(expected);\n request(route, function(result){\n result = JSON.stringify(result);\n\n if(expected !== result){\n console.log(`Warning: ${name} did not pass test!`.yellow);\n console.log(`Expected: ${expected}\\nReceived: ${result}`.red);\n } else {\n console.log(`Test: ${name} passed test`.green);\n }\n }); \n}\n\n// Assert that our functions give the proper output\n// TODO: give functions more than one test case at a time\nassert('2 x', 'simplify/x+x', 'Simplify');\nassert('x (x + 2)', 'factor/x^2 + 2x', 'Factor');\nassert('2 x + 2', 'derive/x^2 + 2x', 'Derive');\nassert('1/3 x^3 + x^2', 'integrate/x^2 + 2x','Integrate');\nassert([-2, 0], 'zeroes/x^2 + 2x', 'Zeroes');\nassert('12 x + -16', 'tangent/2|x^3', 'Tangent');\nassert('60', 'area/2:4|x^3', 'Area Under Curve');\nassert('3', 'log/2|8', 'Logarithm');\n" } ]