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VERSION](http://img.shields.io/npm/v/geco.svg?style=flat)](https://www.npmjs.org/package/geco)\n[![CODACY BADGE](https://img.shields.io/codacy/b18ed7d95b0a4707a0ff7b88b30d3def.svg?style=flat)](https://www.codacy.com/public/44gatti/geco)\n[![CODECLIMATE-TEST-COVERAGE](https://img.shields.io/codeclimate/c/rootslab/geco.svg?style=flat)](https://codeclimate.com/github/rootslab/geco)\n[![LICENSE](http://img.shields.io/badge/license-MIT-blue.svg?style=flat)](https://github.com/rootslab/geco#mit-license)\n\n![NODE VERSION](https://img.shields.io/node/v/geco.svg)\n[![TRAVIS CI BUILD](http://img.shields.io/travis/rootslab/geco.svg?style=flat)](http://travis-ci.org/rootslab/geco)\n[![BUILD STATUS](http://img.shields.io/david/rootslab/geco.svg?style=flat)](https://david-dm.org/rootslab/geco)\n[![DEVDEPENDENCY STATUS](http://img.shields.io/david/dev/rootslab/geco.svg?style=flat)](https://david-dm.org/rootslab/geco#info=devDependencies)\n\n[![NPM MONTHLY](http://img.shields.io/npm/dm/geco.svg?style=flat)](http://npm-stat.com/charts.html?package=geco)\n[![NPM YEARLY](https://img.shields.io/npm/dy/geco.svg)](http://npm-stat.com/charts.html?package=geco)\n[![NPM TOTAL](https://img.shields.io/npm/dt/geco.svg)](http://npm-stat.com/charts.html?package=geco)\n\n[![NPM GRAPH](https://nodei.co/npm/geco.png?downloads=true&downloadRank=true&stars=true)](https://nodei.co/npm/geco/)\n\n> __Geco__, a __CAT__ (Constant Amortized Time) __recursive generator*__ for \n> __k-combinations__ chosen from a given set S of __n__ elements, with and\n> without __replacement__.\n\n> It is __extremely memory efficient__ and __very fast__, it generates all the k-combinations in\n> a set of __n elements__, using a __single sequence of n bits__, only __1 bit__\n> per element.\n\n> It is also able to generate all the __k-combinations__ of a given __multiset__,\n> aka __compositions with restricted parts__, of which, __combinations with repetition__\n> are the general case (without limits on possible repetitions).\n\n\n> __NOTE__: It generates combinations in __[Colexicographic Order](https://en.wikipedia.org/wiki/Lexicographical_order#Colexicographic_order)__.\n\n\n### Table of Contents\n\n- __[Install](#install)__\n- __[Run Tests](#run-tests)__\n- __[Run Benchmarks](#run-benchmarks)__\n- __[Properties](#properties)__\n    - __[cnt](#gecocnt)__\n    - __[gen](#gecogen)__\n    - __[get](#gecoget)__\n    - __[get_bm](#gecoget_bm)__\n    - __[mget](#gecomget)__\n- __[Events](#events)__\n- __[Examples](#examples)__\n  - __[Simple Example](#examples)__\n  - __[Cards Example](#examples)__\n  - __[Cartesian Product](#examples)__\n  - __[52-Card Deck Example](#examples)__\n  - __[Simple Multiset Example](#examples)__\n  - __[Multiset Example](#examples)__\n  - __[Multiset Fixed Repetitions Example](#examples)__\n  - __[7-card Poker Boards Example](#examples)__\n  - __[5 different cards Poker Boards Example](#examples)__\n - __[MIT License](#mit-license)__\n\n------------------------------------------------------------------------------\n\n### Install\n\n```bash\n$ npm install geco [-g]\n```\n\n> __require__:\n\n```javascript\nconst Geco  = require( 'geco' );\n```\n\n### Run Tests\n\n> __to run all test files, install devDependencies:__\n\n```bash\n $ cd geco/\n # install or update devDependencies\n $ npm install \n # run tests\n $ npm test\n```\n\n> __to execute a single test file simply do__:\n\n```bash\n $ node test/file-name.js\n```\n\n### Run Benchmarks\n\n```bash\n$ cd geco/\n$ npm run bench\n```\n\n> __to execute a single bench file, simply do__:\n\n```bash\n $ node bench/file-name.js\n```\n\n> __output example and running time__:\n\n```bash\n- generate all boards of 5 cards from a deck of 52, without repetition/replacement\n\n- the 52-card deck is:\n  A♠ K♠ Q♠ J♠ T♠ 9♠ 8♠ 7♠ 6♠ 5♠ 4♠ 3♠ 2♠ \n  A♣ K♣ Q♣ J♣ T♣ 9♣ 8♣ 7♣ 6♣ 5♣ 4♣ 3♣ 2♣ \n  A♦ K♦ Q♦ J♦ T♦ 9♦ 8♦ 7♦ 6♦ 5♦ 4♦ 3♦ 2♦ \n  A♥ K♥ Q♥ J♥ T♥ 9♥ 8♥ 7♥ 6♥ 5♥ 4♥ 3♥ 2♥\n\n- generating 5-combinations..\n\n....\n\n- total: 2598960 combinations\n- rate:  621760 comb/sec\n- time:  4.18 secs\n\n- generating all 7-combinations (133784560)..\n\n....\n\n- total: 133784580 combinations\n- rate:  580687 comb/sec\n- time:  230.39 secs\n\n```\n\n### Methods\n\n> Arguments between [ ] are optional.\n\n|             name          |                             description                                |\n|:--------------------------|:-----------------------------------------------------------------------|\n| __[cnt](#gecocount)__     | `count the number of k-combinations of n elements, without repetition` |\n| __[gen](#gecogen)__       | `get a generator to produce combinations of k elements from a given set, without repetition`|\n| __[get](#gecoget)__       | `iterate on k-combinations of n elements, without replacement, represented as buffers` |\n| __[get_bm](#gecoget_bm)__ | `iterate on k-combinations of n elements, without replacement, represented as bitmaps` |\n| __[mget](#gecomget)__     | `iterate on k-combinations from a mulitiset of v different types, represented as buffers` |\n\n\n#### Geco.cnt\n> ##### get the total number of k-combinations from n elements, without replacement\n```javascript\n'cnt' : function ( Number n, Number k ) : Number\n```\n\n#### Geco.gen\n> ##### iterate on all k-combination of a given set, without replacement\n```javascript\n/*\n * get a generator for iterating on all combinations of k elements,\n * chosen from the first n items of the given set. Optionally, it\n * may uses also a bitmap, for generating combinations.\n *\n * NOTE: it consumes only n bytes in memory to generate all\n * combinations, instead, with bitmap, it uses only n bits.\n */\n'gen' : function *( Number n, Number k, Array set [, Boolean bitmap ] ) : GeneratorFunction\n```\n\n#### Geco.get\n> ##### iterate on all k-combinations of n elements, without replacement, represented as buffers\n```javascript\n/*\n * the iterator's value is a Buffer with k bytes set to 1.\n * Every 1 (a byte) represents a chosen element for the current combination.\n */\n'get' : function ( Number n, Number k ) : GeneratorFunction\n```\n\n#### Geco.get_bm\n> ##### iterate on all k-combinations of n elements, without replacement, represented as bitmaps  ([Toni](https://github.com/rootslab/toni))\n```javascript\n/*\n * the iterator's value is a bitmap with k bits set to 1.\n * Every 1 (a bit) represents a chosen element for the current combination.\n *\n * NOTE: to check if the element at index i has been chosen use bitmap.chk( i ).\n */\n'get_bm' : function ( Number n, Number k ) : GeneratorFunction\n```\n\n#### Geco.mget\n> ##### iterate on k-combinations of a mulitiset of v different types, with replacement\n```javascript\n/*\n * aka compositions with restricted parts, repeated elements are allowed within\n * certain limits.\n *\n * NOTE: when all specified repetitions are (>)= v, it simply generates all the\n * combinations with repetition. ( n + r − 1 )! / r!( n − 1 )!\n *\n * the iterator's value is a Buffer representing the number of elements chosen\n * for every type/value, according to the limit imposed by the repetition buffer.\n *\n * NOTE: the repetitions buffer should contain the nummber of max allowable\n * repetitions for every type/value. If the max repetitions for a chosen type\n * are > 256 you should use 2 byte per type (16 bits numbers), in the same\n * manner, if repetitions > 65536 you should use 4 bytes per type (32 bits).\n * The buffer returned by the iterator should be read coherently to the number\n * of bytes used for every type in the repetition buffer (1,2 or 4 bytes).\n */\n'mget' : function ( Number k, Number v, Buffer | Number repetitions ) : GeneratorFunction\n```\n\n\n### Examples\n\n > - __[Simple Example](example/next-example.js)__\n > - __[Cards Example](example/cards-example.js)__\n > - __[Cartesian Product](example/cartesian-product-example.js)__\n > - __[52-Card Deck Example](example/deck-example.js)__\n > - __[Simple Multiset Example](example/multi-simple-example.js)__\n > - __[Multiset Example](example/multi-example.js)__\n > - __[Multiset Fixed Repetitions Example](example/multi-fixed-integer-example.js)__\n > - __[7-card Poker Boards Example](example/multi-7-cards-example.js)__\n > - __[5 different cards Poker Boards Example](example/multi-5-cards-example.js)__\n\n> See __[examples](example/)__.\n\n\n### MIT License\n\n> Copyright (c) 2018-present < Guglielmo Ferri : 44gatti@gmail.com >\n\n> Permission is hereby granted, free of charge, to any person obtaining\n> a copy of this software and associated documentation files (the\n> 'Software'), to deal in the Software without restriction, including\n> without limitation the rights to use, copy, modify, merge, publish,\n> distribute, sublicense, and/or sell copies of the Software, and to\n> permit persons to whom the Software is furnished to do so, subject to\n> the following conditions:\n\n> __The above copyright notice and this permission notice shall be\n> included in all copies or substantial portions of the Software.__\n\n> THE SOFTWARE IS PROVIDED 'AS IS', WITHOUT WARRANTY OF ANY KIND,\n> EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF\n> MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.\n> IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY\n> CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,\n> TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE\n> SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n","maintainers":[{"name":"rootslab","email":"44gatti@gmail.com"}],"time":{"modified":"2022-05-03T06:41:13.572Z","created":"2018-01-28T17:51:41.839Z","0.0.1":"2018-01-28T17:51:41.839Z","0.0.2":"2018-01-28T17:58:00.458Z","0.0.3":"2018-01-28T18:02:02.632Z","0.0.4":"2018-01-28T18:11:42.947Z","0.0.6":"2018-01-28T18:46:31.452Z","0.0.7":"2018-01-28T18:51:41.478Z","0.1.1":"2018-01-28T19:35:50.209Z","0.1.2":"2018-01-28T19:37:55.500Z","0.1.3":"2018-01-28T19:49:46.177Z","0.1.4":"2018-01-28T20:02:50.997Z","0.1.5":"2018-01-28T20:03:52.789Z","0.1.6":"2018-01-28T22:04:42.689Z","0.1.7":"2018-01-28T22:09:16.438Z","0.2.0":"2018-01-28T22:47:10.396Z","0.2.1":"2018-01-28T22:51:24.188Z","0.2.2":"2018-01-28T22:57:16.398Z","0.2.3":"2018-01-28T23:00:09.493Z","0.2.4":"2018-01-29T00:09:04.911Z","0.2.5":"2018-01-29T10:33:59.356Z","0.2.6":"2018-01-29T11:38:42.237Z","0.3.0":"2018-01-29T11:40:42.330Z","0.3.1":"2018-01-29T11:41:24.677Z","0.4.1":"2018-01-29T18:21:25.444Z","0.4.2":"2018-01-29T18:25:32.685Z","0.5.0":"2018-01-29T18:30:51.100Z","0.5.1":"2018-01-29T18:31:57.747Z","0.5.2":"2018-01-29T18:58:26.492Z","0.5.3":"2018-01-29T19:00:36.011Z","0.6.0":"2018-01-31T01:20:38.920Z","0.6.1":"2018-01-31T11:23:48.343Z","0.6.2":"2018-01-31T12:22:20.708Z","0.6.3":"2018-01-31T12:26:38.012Z","0.6.4":"2018-01-31T12:39:21.573Z","0.6.5":"2018-01-31T21:13:40.671Z","0.8.0":"2018-02-02T16:04:18.922Z","0.8.1":"2018-02-02T16:50:16.975Z","0.10.0":"2018-02-04T23:39:19.670Z","0.10.1":"2018-02-04T23:53:51.269Z","0.10.2":"2018-02-05T00:26:50.196Z","0.11.1":"2018-02-06T19:15:51.759Z"},"homepage":"https://github.com/rootslab/geco","keywords":["geco","combinations","combinations with repetition","k-combinations","multiset","compositions","compositions with restricted parts","colex","colexicographic order","CAT","combinatorics","generators","poker"],"repository":{"type":"git","url":"git://github.com/rootslab/geco.git"},"author":{"name":"Guglielmo Ferri","email":"44gatti@gmail.com"},"bugs":{"url":"https://github.com/rootslab/geco/issues"},"license":"MIT","readmeFilename":"Readme.md"}