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-- A JavaScript Scientific Library like R\n\n## Introduction\n\nThe rlab is a A JavaScript Scientific Library like R.\n\nIt's based on `lodash.js , jStat.js and numeric.js`\n\n## Install\n\n```\nnpm install rlab\n```\n\n## Use rlab in console mode\n\nfile : probabilityEx.js\n\n```javascript\nvar R = require(\"rlab\");\nvar dice = R.steps(1,6);\nlog(\"sample(1:6, 10)\", R.samples(dice, 10));\nlog(\"runif(10,0,1)=\", R.runif(10, 0, 1).str());\nlog(\"rnorm(10,5,1)=\", R.rnorm(10, 5, 1).str());\nlog(\"dnorm(5,5,1)=\", R.dnorm(5, 5, 1));\nlog(\"pnorm(5,5,1)=\", R.pnorm(5, 5, 1));\nlog(\"qnorm(0.5,5,1)=\", R.qnorm(0.5, 5, 1));\nlog(\"rbinom(10, 5, 0.5)=\", R.rbinom(10,5,0.5));\nlog(\"dbinom(4, 5, 0.5)=\", R.dbinom(4,5,0.5));\nlog(\"dbinom(5, 5, 0.5)=\", R.dbinom(5,5,0.5));\nlog(\"pbinom(4, 5, 0.5)=\", R.pbinom(4,5,0.5));\nlog(\"qbinom(0.9, 5, 0.5)=\", R.qbinom(0.9,5,0.5));\n\n```\n\nrun :\n\n```\n$ node probabilityEx.js\nsample(1:6, 10) [ 3, 5, 3, 2, 3, 3, 1, 2, 4, 3 ]\nrunif(10,0,1)= [0.9119,0.5899,0.6839,0.1350,0.6894,0.9512,0.8186,0.5826,0.4279,0\n.5125]\nrnorm(10,5,1)= [5.8961,5.4312,6.0002,5.3623,5.5281,4.4413,6.2144,5.7173,5.3111,1\n.3146]\ndnorm(5,5,1)= 0.3989422804014327\npnorm(5,5,1)= 0.5\nqnorm(0.5,5,1)= 5\nrbinom(10, 5, 0.5)= [ 2, 1, 2, 2, 4, 4, 1, 4, 3, 2 ]\ndbinom(4, 5, 0.5)= 0.15625\ndbinom(5, 5, 0.5)= 0.03125\npbinom(4, 5, 0.5)= 0.96875\nqbinom(0.9, 5, 0.5)= 4\n```\n\nfile : statisticsEx.js\n\n```javascript\nvar R = require(\"rlab\");\nvar v = [1,3,5];\nlog(\"v.max()=\", v.max());\nlog(\"v.min()=\", v.min());\nlog(\"v.sum()=\", v.sum());\nlog(\"v.normalize()=\", v.normalize());\nlog(\"v.normalize().sum()=\", v.normalize().sum());\nlog(\"v.product()=\", v.product());\nlog(\"v.mean()=\", v.mean());\nlog(\"v.range()=\", v.range());\nlog(\"v.median()=\", v.median());\nlog(\"v.variance()=\", v.variance());\nlog(\"v.sd()=\", v.sd(), \" sd^2=\", v.sd()*v.sd());\nlog(\"v.cov(v)=\", v.cov(v), \"v.cor(v)=\", v.cor(v));\nlog(\"factorial(5)=\", R.factorial(5));\n```\n\nrun : \n\n```\n$ node statisticsEx.js\nv.max()= 5\nv.min()= 1\nv.sum()= 9\nv.normalize()= [ 0.1111111111111111, 0.3333333333333333, 0.5555555555555556 ]\nv.normalize().sum()= 1\nv.product()= 15\nv.mean()= 1\nv.range()= 4\nv.median()= 3\nv.variance()= 2.6666666666666665\nv.sd()= 1.632993161855452  sd^2= 2.6666666666666665\nv.cov(v)= 4 v.cor(v)= 1\nfactorial(5)= 120\n```\n\nfile : testEx.js\n\n```javascript\nvar R = require(\"../rlab\");\nvar v = [1,3,5];\n\nvar x = R.rnorm(10, 0, 0.1);\nprint(\"x=\", x.str());\n\nvar t1=R.ttest({x:x, mu:0});\nR.report(t1);\n```\n\nrun :\n\n```\n$ node testEx.js\nx= [-0.1117,-0.1211,0.0382,-0.1902,0.0124,0.0949,0.2326,0.1315,-0.0261,0.0874]\n\n=========== report ==========\nname    : ttest(X)\nh       : H0:mu=0\nalpha   : 0.0500\nop      : =\npvalue  : 0.7129\nci      : [-0.0733,0.1028]\ndf      : 9.0000\nmean    : 0.0148\nsd      : 0.1231\n```\n\nfile : matrixEx.js\n\n```javascript\nvar M = require(\"rlab\").M;\nvar v = [1,2,3];\nlog(\"v.sin()=\", v.sin());\nlog(\"v.norm2()=\", v.norm2());\nlog(\"v.norm2Squared()=\", v.norm2Squared());\n\nvar A = [[1,2,3],[4,5,6],[7,3,9]];\nvar AiA = A.inv().dot(A);\nlog(\"AiA=\\n\", AiA.strM());\nlog(\"AiA.tr()=\\n\", AiA.tr().strM());\nlog(\"A=\\n\", A.str());\nlog(\"A.mul(0.1)=\\n\", A.mul(0.1).strM());\nlog(\"A.row(1)=\", A.row(1));\nlog(\"A.col(1)=\", A.col(1));\nlog(\"A.sumM()=\", A.sumM());\nlog(\"A.rowSum()=\", A.rowSum());\nlog(\"A.colSum()=\", A.colSum());\nlog(\"A.mean(row)=\", A.rowMean().str());\nlog(\"A.mean(col)=\", A.colMean().str());\n\nvar D = M.diag(v);\nlog(\"D=\", D);\n\nvar Eλ = M.eigR(A);\nvar E = Eλ.E, λ=Eλ.lambda;\nlog(\"E*[λ]*E-1=\", E.dot(λ.diag()).dot(E.inv()).strM());\n```\n\nrun : \n\n```\n$ node matrixEx.js\nv.sin()= [ 0.8414709848078965, 0.9092974268256817, 0.1411200080598672 ]\nv.norm2()= 3.7416573867739413\nv.norm2Squared()= 14\nAiA=\n [[          1,   1.11e-16,  -1.11e-16],\n [          0,          1,  4.441e-16],\n [ -3.331e-16, -3.331e-16,          1]]\nAiA.tr()=\n [[          1,          0, -3.331e-16],\n [   1.11e-16,          1, -3.331e-16],\n [  -1.11e-16,  4.441e-16,          1]]\nA=\n [[1.0000,2.0000,3.0000],[4.0000,5.0000,6.0000],[7.0000,3.0000,9.0000]]\nA.mul(0.1)=\n [[        0.1,        0.2,        0.3],\n [        0.4,        0.5,        0.6],\n [        0.7,        0.3,        0.9]]\nA.row(1)= [ 4, 5, 6 ]\nA.col(1)= [ 2, 5, 3 ]\nA.sumM()= 40\nA.rowSum(2)= [ 6, 15, 19 ]\nA.colSum(2)= [ 12, 10, 18 ]\nA.mean(row)= [2.0000,5.0000,6.3333]\nA.mean(col)= [4.0000,3.3333,6.0000]\nD= [ [ 1, 0, 0 ], [ 0, 2, 0 ], [ 0, 0, 3 ] ]\nE*[λ]*E-1= [[          1,          2,          3],\n [          4,          5,          6],\n [          7,          3,          9]]\n```\n\nfile : differentialEx.js\n\n```javascript\nvar R = require(\"rlab\");\n\nvar d = R.D.d, i=R.D.i, sin=R.sin, PI = R.PI, x2=(x)=>x*x;\n\nlog('d(x^2,2)=', d(x2, 2));\nlog('d(sin(x/4),pi/4)=', d(sin, PI/4));\nlog('i(x^2,0,1)=', i(x2,0,1));\nlog('i(sin(x),0,pi/2)=', i(sin,0,PI/2));\n\n```\n\nrun :\n\n```\nD:\\Dropbox\\github\\rlab\\example>node differentialEx.js\nd(x^2,2)= 4.000999999999699\nd(sin(x/4),pi/4)= 0.7067531099743674\ni(x^2,0,1)= 0.33283350000000095\ni(sin(x),0,pi/2)= 0.9997035898637557\n```\n\nfile: symbolEx.js\n\n```javascript\nvar R = require(\"../rlab\");\nvar S = R.Symbol;\n\nprint('x+x=', S.run('x + x')) // => 2 x\"\n\nprint('10!=', S.factor('10!').toString()); // => \"2^8 3^4 5^2 7\"\n\nprint('integral(x^2)=', S.eval('integral(x^2)').toString()); // => \"1/3 x^3\"\n\n// composing...\nprint('integral(x)=', S.integral(S.eval('x')).toString()); // => \"1/2 x^2\"\n\nvar questions=[\n'13579/99999 + 13580/100000',\n'numerator(1/a+1/b)',\n'denominator(1/(x-1)/(x-2))',\n'rationalize(a/b+b/a)',\n'A=1+i;B=sqrt(2)*exp(i*pi/4);A-B',\n'simplify(cos(x)^2 + sin(x)^2)',\n'simplify(a*b+a*c)',\n'simplify(n!/(n+1)!)',\n'(x-1)(x-2)^3',\n'subst( u, exp(x), 2*exp(x) )',\n'roots(3 x + 12 + y = 24)',\n'roots(a*x^2+b*x+c)',\n'roots(x^4 + x^3 + x^2 + x + 1)',\n'roots(m*x^9 + n)',\n'roots((x^4+x^3)*(x^4*x^2))',\n'nroots(x^4+1)',\n'velocity=17000*\"mile\"/\"hr\";time=8*\"min\"/(60*\"min\"/\"hr\");velocity/time',\n'A=((a,b),(c,d));inv(A);adj(A);det(A);inv(A)-adj(A)/det(A)',\n'd(x^2);r=sqrt(x^2+y^2);d(r,(x,y))',\n'F=(x+2y,3x+4y);d(F,(x,y))',\n'integral(x^2)',\n'integral(x*y,x,y)',\n// 'defint(x^2,y,0,sqrt(1-x^2),x,-1,1)', // very slow, why ?\n// 'f=sin(t)^4-2*cos(t/2)^3*sin(t);f=circexp(f);defint(f,t,0,2*pi)', // very slow, why ?\n];\n\nprint(\"=========== Q&A =============\");\n\nfor (var i in questions) {\n\tvar q = questions[i];\n\tprint(q, \"=\", S.run(q.replace(/;/g, '\\n')));\n}\n```\n\nrun : \n\n```\nD:\\js\\rlab\\example>node symbolEx.js\nx+x= 2 x\n10!= 2^8 3^4 5^2 7\nintegral(x^2)= 1/3 x^3\nintegral(x)= 1/2 x^2\n=========== Q&A =============\n13579/99999 + 13580/100000 = 135794321/499995000\nnumerator(1/a+1/b) = a + b\ndenominator(1/(x-1)/(x-2)) = x^2 - 3 x + 2\nrationalize(a/b+b/a) = (a^2 + b^2) / (a b)\nA=1+i;B=sqrt(2)*exp(i*pi/4);A-B = 1 + i - 2^(1/2) exp(1/4 i pi)\nsimplify(cos(x)^2 + sin(x)^2) = 1\nsimplify(a*b+a*c) = a (b + c)\nsimplify(n!/(n+1)!) = 1 / (1 + n)\n(x-1)(x-2)^3 = x^4 - 7 x^3 + 18 x^2 - 20 x + 8\nsubst( u, exp(x), 2*exp(x) ) = 2 u\nroots(3 x + 12 + y = 24) = -1/3 y + 4\nroots(a*x^2+b*x+c) = (-b / (2 a) - (-4 a c + b^2)^(1/2) / (2 a),-b / (2 a) + (-4\n a c + b^2)^(1/2) / (2 a))\nroots(x^4 + x^3 + x^2 + x + 1) = Stop: roots: the polynomial is not factorable,\ntry nroots\nroots(m*x^9 + n) = Stop: roots: the polynomial is not factorable, try nroots\nroots((x^4+x^3)*(x^4*x^2)) = (-1,0)\nnroots(x^4+1) = (-0.707107 - 0.707107 i,-0.707107 + 0.707107 i,0.707107 + 0.7071\n07 i,0.707107 - 0.707107 i)\nvelocity=17000*\"mile\"/\"hr\";time=8*\"min\"/(60*\"min\"/\"hr\");velocity/time = 127500 \"\nmile\" / (\"hr\"^2)\nA=((a,b),(c,d));inv(A);adj(A);det(A);inv(A)-adj(A)/det(A) = ((d / (a d - b c),-b\n / (a d - b c)),(-c / (a d - b c),a / (a d - b c)))\n((d,-b),(-c,a))\na d - b c\n((0,0),(0,0))\nd(x^2);r=sqrt(x^2+y^2);d(r,(x,y)) = 2 x\n(x / ((x^2 + y^2)^(1/2)),y / ((x^2 + y^2)^(1/2)))\nF=(x+2y,3x+4y);d(F,(x,y)) = ((1,2),(3,4))\nintegral(x^2) = 1/3 x^3\nintegral(x*y,x,y) = 1/4 x^2 y^2\n```\n\n## Run rlab on Web\n\nFdbserver is a used in the server.js of rlab. You have to install fdbserver before start the server.js\n\n```\n$ git clone https://github.com/ccckmit/rlab\n...\n$ cd rlab\n...\n$ npm install fdbserver\nrlab@0.7.1 D:\\Dropbox\\github\\rlab\n+-- chai@3.5.0  extraneous\n+-- express@4.13.4  extraneous\n`-- fdbserver@1.6.6  extraneous\n\n$ node server.js\n```\n\nA demo for rlab is on my web site <http://ccc.nqu.edu.tw/rlab/rlab.html> .\n\nThe following figure is Screen Shot for Rlab GUI.\n\n![Run rlab on Web](img/RlabIDE.png)\n\nIf you visit the site in https protocol, there will be a Button for 'Save File', and menus for 'Login' and 'Logout'. These function can only be used in the https mode, not in the http mode.\n\nYou have to login to save code. The default code path is in 'file/' directory with the file name you choose to upload.\n\n## Rebuild Web Version\n\nYou have to wrap rlab for web by browserify in the following command.\n\n```\n$npm run-script build-web\n\n> rlab@0.5.4 build-web D:\\Dropbox\\github\\rlab\n> browserify web/_rlab.js -o web/rlab.js\n```\n\nWhen you modify the rlab source, make sure to wrap it again.\n\n\n## Author\n\nAuthor: ccckmit\n\nEmail : ccckmit@gmail.com \n\n## License\n\nThe rlab project is licensed in MIT license.\n\nCopyright (c) 2013 rlab\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in\nall copies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\nTHE SOFTWARE.\n\n\n\n","maintainers":[{"name":"ccckmit","email":"ccckmit@gmail.com"}],"time":{"modified":"2022-06-26T13:30:22.033Z","created":"2016-03-23T06:17:29.462Z","0.0.1":"2016-03-23T06:17:29.462Z","0.0.2":"2016-03-23T06:20:06.510Z","0.0.4":"2016-03-23T07:26:43.758Z","0.0.5":"2016-03-23T07:39:11.226Z","0.0.6":"2016-03-24T12:34:42.190Z","0.0.7":"2016-03-25T00:20:59.011Z","0.0.8":"2016-03-25T04:06:00.023Z","0.1.1":"2016-03-28T02:11:47.519Z","0.1.2":"2016-03-28T02:15:28.111Z","0.1.3":"2016-03-28T02:53:45.315Z","0.1.4":"2016-03-28T03:55:34.115Z","0.1.5":"2016-03-28T04:10:30.667Z","0.1.6":"2016-03-28T04:14:39.936Z","0.1.7":"2016-03-28T04:41:35.084Z","0.1.8":"2016-03-28T04:44:25.056Z","0.1.9":"2016-03-28T04:46:36.164Z","0.2.0":"2016-03-28T04:49:55.704Z","0.3.0":"2016-04-17T07:21:20.493Z","0.3.1":"2016-04-17T07:23:00.306Z","0.4.0":"2016-04-17T08:00:01.724Z","0.4.1":"2016-04-17T08:02:08.625Z","0.4.2":"2016-04-17T08:06:51.688Z","0.5.0":"2016-04-18T03:35:18.738Z","0.5.1":"2016-04-18T03:40:23.317Z","0.5.2":"2016-04-18T03:51:04.610Z","0.5.3":"2016-04-18T03:59:56.295Z","0.5.4":"2016-04-18T04:20:18.133Z","0.5.5":"2016-05-10T04:26:58.936Z","0.6.0":"2016-09-02T09:31:27.871Z","0.7.0":"2016-09-06T08:47:26.560Z","0.8.0":"2016-09-08T03:12:22.523Z","0.7.1":"2016-09-10T08:28:50.602Z","0.8.1":"2016-09-12T07:34:07.643Z","0.8.2":"2016-09-12T07:39:43.773Z","0.8.3":"2016-09-12T07:43:16.163Z","0.9.0":"2016-10-03T08:38:38.356Z","0.9.1":"2016-10-05T00:37:38.958Z","0.9.2":"2016-10-06T23:55:17.904Z","0.9.3":"2016-10-17T02:15:30.088Z","0.9.4":"2016-10-20T23:05:58.032Z","0.10.0":"2016-10-28T00:48:07.227Z","0.10.2":"2016-11-21T06:19:22.296Z","0.10.3":"2016-11-23T05:43:43.984Z","1.0.0":"2017-05-19T07:32:31.846Z"},"homepage":"https://github.com/ccckmit/rlab","keywords":["R","Matlab","Scientific Computing","Statistics","Probability","Matrix"],"repository":{"type":"git","url":"git+ssh://git@github.com/ccckmit/rlab.git"},"author":{"name":"Chung-Chen Chen","email":"ccckmit@gmail.com","url":"http://ccc.nqu.edu.tw"},"readmeFilename":"README.md","bugs":{"url":"https://github.com/ccckmit/rlab/issues"},"license":"MIT"}