{"Package":"Ryacas","Version":"1.0.0","Title":"R Interface to the 'Yacas' Computer Algebra System","Authors@R":"c(\nperson(given = \"Mikkel Meyer\", family = \"Andersen\",\nemail = \"mikl@math.aau.dk\", role = c(\"aut\", \"cre\", \"cph\")),\nperson(given = \"Rob\", family = \"Goedman\",\nemail = \"goedman@mac.com\", role = c(\"aut\", \"cph\")),\nperson(given = \"Gabor\", family = \"Grothendieck\",\nemail = \"ggrothendieck@gmail.com\", role = c(\"aut\", \"cph\")),\nperson(given = \"Sren\", family = \"Hjsgaard\",\nemail = \"sorenh@math.aau.dk\", role = c(\"aut\", \"cph\")),\nperson(given = \"Grzegorz\", family = \"Mazur\",\nemail = \"teoretyk@gmail.com\", role = c(\"aut\", \"cph\")),\nperson(given = \"Ayal\", family = \"Pinkus\",\nemail = \"apinkus@xs4all.nl\", role = c(\"aut\", \"cph\")),\nperson(given = \"Nemanja\", family = \"Trifunovic\",\nrole = c(\"cph\"), comment = \"UTF-8 part of yacas (src/yacas/include/yacas/utf8*)\")\n)","Maintainer":"Mikkel Meyer Andersen ","Encoding":"UTF-8","Description":"Interface to the 'yacas' computer algebra system ().","Depends":"R (>= 3.3.0)","Imports":"Rcpp (>= 0.12.0), stats, methods, magrittr","LinkingTo":"Rcpp","Suggests":"devtools, exams, knitr, Matrix, pkgload, rmarkdown, igraph,\ntestthat, unix, Rmpfr","License":"GPL","SystemRequirements":"C++11","URL":"https://github.com/mikldk/ryacas, http://www.yacas.org","BugReports":"https://github.com/mikldk/ryacas/issues","RoxygenNote":"6.1.1.9000","VignetteBuilder":"knitr","NeedsCompilation":"yes","Packaged":"2019-08-29 12:13:32 UTC; mikl","Author":"Mikkel Meyer Andersen [aut, cre, cph],\nRob Goedman [aut, cph],\nGabor Grothendieck [aut, cph],\nSren Hjsgaard [aut, cph],\nGrzegorz Mazur [aut, cph],\nAyal Pinkus [aut, cph],\nNemanja Trifunovic [cph] (UTF-8 part of yacas\n(src/yacas/include/yacas/utf8*))","Repository":"CRAN","Date/Publication":"2019-08-29 13:00:06 UTC","repoType":"cran","tarballUrl":"ftp://cran.r-project.org/pub/R/src/contrib/Ryacas_1.0.0.tar.gz","jsonAuthors":[{"name":"Mikkel Meyer Andersen","email":"mikl@math.aau.dk","maintainer":true},{"name":"Rob Goedman","email":"goedman@mac.com","maintainer":false},{"name":"Gabor Grothendieck","email":"ggrothendieck@gmail.com","maintainer":false},{"name":"Sren Hjsgaard","email":"sorenh@math.aau.dk","maintainer":false},{"name":"Grzegorz Mazur","email":"teoretyk@gmail.com","maintainer":false},{"name":"Ayal Pinkus","email":"apinkus@xs4all.nl","maintainer":false},{"name":"Nemanja Trifunovic","email":null,"maintainer":false}],"readme":"\n\n\n# Ryacas\n\n[![Build\nStatus](https://travis-ci.org/mikldk/ryacas.svg?branch=master)](https://travis-ci.org/mikldk/ryacas)\n[![Build\nstatus](https://ci.appveyor.com/api/projects/status/c8fsb1dvj5gmh703/branch/master?svg=true)](https://ci.appveyor.com/project/mikldk/ryacas/branch/master)\n\nRyacas is an [R](https://www.r-project.org/) interface to the free\n[yacas](http://www.yacas.org) Computer Algebra System. Ryacas allows one\nto send R expressions, unprocessed yacas strings and certain other R\nobjects to yacas process from R and get back the result. It also has\nfacilities for manipulating yacas strings and R expressions destined for\nyacas processing.\n\nIt can be used for exact arithmetic, symbolic math, ASCII pretty\nprinting and translating R to TeX.\n\n## Install from GitHub\n\nTo build and install from github using R 3.3.0 (or later) and the R\n`devtools` package 1.11.0 (or later) run this command from within R:\n\n devtools::install_github(\"mikldk/ryacas\")\n\n## Online info\n\nFor vignettes, overview, pointers to additional information,\ninstallation instructions and a sample session see\n.\n\nYacas documentation can be found at .\n\n## Brief examples\n\nBelow we show a few examples. We highly recommend reading the “[Getting\nstarted](http://mikldk.github.io/ryacas/articles/getting-started.html)”\nvignette (and the other vignettes) for a more thorough introduction to\nthe package.\n\n### Low-level interface\n\nReturning strings with `yac_str()`:\n\n``` r\nyac_str(\"x+x+x+x\")\n#> [1] \"4*x\"\nyac_str(\"Factor(x^2+x-6)\")\n#> [1] \"(x-2)*(x+3)\"\nyac_str(\"D(x) x^2+x-6\")\n#> [1] \"2*x+1\"\n```\n\nReturning `R` expressions with `yac_expr()`:\n\n``` r\nyac_expr(\"x+x+x+x\")\n#> expression(4 * x)\neval(yac_expr(\"x+x+x+x\"), list(x = 4))\n#> [1] 16\nyac_expr(\"Factor(x^2+x-6)\")\n#> expression((x - 2) * (x + 3))\nyac_expr(\"D(x) x^2+x-6\")\n#> expression(2 * x + 1)\n```\n\nUsing functions easier (using\n[`magrittr`](https://cran.r-project.org/package=magrittr)’s pipe,\n`%>%`):\n\n``` r\n\"x^2+x-6\" %>% y_fn(\"Factor\") %>% yac_str()\n#> [1] \"(x-2)*(x+3)\"\n\"x^2+x-6\" %>% y_fn(\"D(x)\") %>% yac_expr()\n#> expression(2 * x + 1)\n```\n\nSolving equations (removes the `x==` from `yacas` with the `y_rmvars()`\nfunction):\n\n``` r\nsol <- yac_str(\"Solve(x^2+x-6 == 0, x)\")\nsol\n#> [1] \"{x==2,x==(-3)}\"\nsol %>% y_rmvars() %>% yac_str()\n#> [1] \"{2,-3}\"\nsol %>% y_rmvars() %>% yac_expr()\n#> expression(c(2, -3))\nsol %>% y_rmvars() %>% yac_expr() %>% eval()\n#> [1] 2 -3\n```\n\nAnd output in TeX:\n\n``` r\n\"3/4 + Pi/8\" %>% y_fn(\"Simplify\") %>% y_fn(\"TeXForm\") %>% yac_str()\n#> [1] \"\\\\frac{\\\\pi + 6}{8} \"\n```\n\nAnd arbitrary precision (see also the “[Arbitrary-precision\narithmetic](http://mikldk.github.io/ryacas/articles/arbitrary-precision.html)”\nvignette):\n\n``` r\nyac_str(\"N(Pi, 50)\")\n#> [1] \"3.1415926535897932384626433832795028841971693993751058209\"\n```\n\n### High-level interface\n\nA brief example with a polynomial is:\n\n``` r\nx <- yac_symbol(\"x^2+x-6\")\nx\n#> [1] x^2+x-6\ny_fn(x, \"Factor\")\n#> [1] (x-2)*(x+3)\nx %>% y_fn(\"Factor\")\n#> [1] (x-2)*(x+3)\nx %>% as_r()\n#> expression(x^2 + x - 6)\n```\n\nA small matrix example follows:\n\n``` r\nA <- outer(0:3, 1:4, \"-\") + diag(2:5)\na <- 1:4\nB <- yac_symbol(A)\nB\n#> {{ 1, -2, -3, -4},\n#> { 0, 2, -2, -3},\n#> { 1, 0, 3, -2},\n#> { 2, 1, 0, 4}}\nb <- yac_symbol(a)\nb\n#> [1] {1,2,3,4}\ny_fn(B, \"Transpose\")\n#> {{ 1, 0, 1, 2},\n#> {-2, 2, 0, 1},\n#> {-3, -2, 3, 0},\n#> {-4, -3, -2, 4}}\ny_fn(B, \"Inverse\")\n#> {{ 37/202, 3/101, 41/202, 31/101},\n#> {(-17)/101, 30/101, 3/101, 7/101},\n#> {(-19)/202, (-7)/101, 39/202, (-5)/101},\n#> { (-5)/101, (-9)/101, (-11)/101, 8/101}}\ny_fn(B, \"Trace\")\n#> [1] 10\nB %*% b\n#> [1] {-28,-14,2,20}\nt(B)\n#> {{ 1, 0, 1, 2},\n#> {-2, 2, 0, 1},\n#> {-3, -2, 3, 0},\n#> {-4, -3, -2, 4}}\nB[, 2:3]\n#> {{-2, -3},\n#> { 2, -2},\n#> { 0, 3},\n#> { 1, 0}}\nB %*% solve(B)\n#> {{1, 0, 0, 0},\n#> {0, 1, 0, 0},\n#> {0, 0, 1, 0},\n#> {0, 0, 0, 1}}\n```\n\n## Yacas\n\nThe package contains stripped-down yacas distribution. For the complete\nyacas source code see . For\nmore information on yacas see or the documention\ndirectly at . .\n\n-----\n\nMikkel Meyer Andersen, mikl at math dot aau dot dk \nRob Goedman, goedman at mac dot com \nGabor Grothendieck, ggrothendieck at gmail dot com \nSøren Højsgaard, sorenh at math dot aau dot dk \nAyal Pinkus, apinkus at xs4all dot nl \nGrzegorz Mazur, teoretyk at gmail dot com","jobInfo":{"package":"Ryacas","version":"1.0.0","parsingStatus":"success","parserVersion":1,"parsedAt":"2019-10-08T14:29:57+0000"}}

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