triangleGrid

├── .babelrc ├── gulpfile.js ├── gulp ├── tasks │ ├── build.js │ ├── html.js │ ├── default.js │ ├── style.js │ ├── deploy.js │ ├── serve.js │ └── logic.js ├── index.js └── options.js ├── doc └── inscribed-grid-points_triangle.png ├── .gitignore ├── src ├── index.html ├── pointsView.js ├── index.less ├── gridView.js ├── triangleView.js └── index.js ├── README.md ├── package.json └── LICENSE /.babelrc: -------------------------------------------------------------------------------- 1 | { 2 | "presets": ["env"] 3 | } 4 | -------------------------------------------------------------------------------- /gulpfile.js: -------------------------------------------------------------------------------- 1 | require('babel-core/register', { ignore: false }) 2 | require('./gulp') 3 | -------------------------------------------------------------------------------- /gulp/tasks/build.js: -------------------------------------------------------------------------------- 1 | import { default as gulp } from 'gulp' 2 | 3 | gulp.task('build', ['style', 'logic', 'html']); 4 | -------------------------------------------------------------------------------- /doc/inscribed-grid-points_triangle.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/mindrones/inscribed-grid-points/master/doc/inscribed-grid-points_triangle.png -------------------------------------------------------------------------------- /.gitignore: -------------------------------------------------------------------------------- 1 | dist 2 | 3 | # npm 4 | node_modules 5 | npm-debug.log 6 | 7 | # https://github.com/shinnn/gulp-gh-pages 8 | .ghpcache 9 | .publish 10 | 11 | # macos 12 | .DS_Store 13 | -------------------------------------------------------------------------------- /gulp/index.js: -------------------------------------------------------------------------------- 1 | import './tasks/build'; 2 | import './tasks/default'; 3 | import './tasks/deploy'; 4 | import './tasks/html'; 5 | import './tasks/logic'; 6 | import './tasks/serve'; 7 | import './tasks/style'; 8 | -------------------------------------------------------------------------------- /gulp/options.js: -------------------------------------------------------------------------------- 1 | import minimist from 'minimist'; 2 | 3 | const opts = minimist(process.argv.slice(2), { 4 | string: [ 5 | 'm' // message, for deploying 6 | ] 7 | }); 8 | 9 | export default opts 10 | -------------------------------------------------------------------------------- /gulp/tasks/html.js: -------------------------------------------------------------------------------- 1 | import { default as gulp } from 'gulp' 2 | // import { default as gutil } from 'gulp-util' 3 | 4 | gulp.task('html', () => { 5 | return gulp.src('src/index.html') 6 | .pipe(gulp.dest('./dist')) 7 | }); 8 | -------------------------------------------------------------------------------- /gulp/tasks/default.js: -------------------------------------------------------------------------------- 1 | import { default as gulp } from 'gulp' 2 | import { default as runSequence } from 'run-sequence' 3 | 4 | gulp.task('default', () => { 5 | runSequence( 6 | 'build', 7 | 'serve' 8 | ) 9 | }) 10 | -------------------------------------------------------------------------------- /src/index.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | triangleGrid 5 | 6 | 7 | 8 |

9 | 10 | 11 | -------------------------------------------------------------------------------- /src/pointsView.js: -------------------------------------------------------------------------------- 1 | import {h} from '@cycle/dom'; 2 | 3 | export default (points, radius) => 4 | h('g.points', points.map(point => 5 | h('circle.dot', { 6 | attrs: { 7 | cx: point.x, 8 | cy: point.y, 9 | r: radius 10 | } 11 | }) 12 | )); 13 | -------------------------------------------------------------------------------- /gulp/tasks/style.js: -------------------------------------------------------------------------------- 1 | import gulp from 'gulp'; 2 | import gutil from 'gulp-util'; 3 | import less from 'gulp-less'; 4 | import browserSync from 'browser-sync'; 5 | 6 | gulp.task('style', () => { 7 | return gulp.src('./src/index.less') 8 | .pipe(less().on('error', gutil.log)) 9 | .pipe(gulp.dest('./dist/')) 10 | .pipe(browserSync.stream()); 11 | }); 12 | -------------------------------------------------------------------------------- /gulp/tasks/deploy.js: -------------------------------------------------------------------------------- 1 | import gulp from 'gulp'; 2 | import runSequence from 'run-sequence' 3 | import ghPages from 'gulp-gh-pages' 4 | import options from '../options' 5 | 6 | gulp.task('commitToGhPages', () => { 7 | let opts = {cacheDir: '.ghpcache'}; 8 | if (options.m) { 9 | opts.message = options.m 10 | } 11 | 12 | return gulp.src('./dist/**/*') 13 | .pipe( ghPages(opts) ); 14 | }) 15 | 16 | gulp.task('deploy', () => { 17 | runSequence( 18 | 'build', 19 | 'commitToGhPages' 20 | ) 21 | }) 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Grid points inscribed in a triangle 2 | 3 | Shows the points of a grid inscribed in a given triangle. 4 | 5 | ## [Demo](https://mindrones.github.io/inscribed-grid-points) 6 | 7 | Resize the window to update the triangle geometry and the inscribed points. 8 | 9 | Click on the visualization to generate a new random triangle. 10 | Every four clicks, you get a triangle with a horizontal side (shown in green), useful to test the function generating the inscribed points. 11 | 12 | ![Triangle](https://raw.githubusercontent.com/mindrones/inscribed-grid-points/master/doc/inscribed-grid-points_triangle.png) 13 | -------------------------------------------------------------------------------- /src/index.less: -------------------------------------------------------------------------------- 1 | html, 2 | svg, 3 | body { 4 | width: 100%; 5 | height: 100%; 6 | } 7 | 8 | body { 9 | overflow: hidden; 10 | } 11 | 12 | * { 13 | padding: 0; 14 | margin: 0; 15 | box-sizing: border-box; 16 | } 17 | 18 | line { 19 | stroke: red; 20 | stroke-width: 2; 21 | 22 | &.horizontal { 23 | stroke: green; 24 | } 25 | 26 | &.x, 27 | &.y { 28 | stroke: lightgrey; 29 | stroke-width: 0.5; 30 | } 31 | } 32 | 33 | circle { 34 | stroke: none; 35 | 36 | &.vertex { 37 | fill: orange; 38 | } 39 | &.dot { 40 | fill: none; 41 | stroke: black; 42 | } 43 | 44 | text { 45 | fill: lightgrey; 46 | stroke: none; 47 | user-select: none; 48 | } 49 | 50 | } 51 | -------------------------------------------------------------------------------- /gulp/tasks/serve.js: -------------------------------------------------------------------------------- 1 | import { default as gulp } from 'gulp' 2 | import { default as browserSync } from 'browser-sync' 3 | import { default as runSequence } from 'run-sequence' 4 | 5 | gulp.task('serve', () => { 6 | browserSync.init({ 7 | server: { 8 | baseDir: './dist', 9 | }, 10 | port: 8001, 11 | open: false, 12 | reloadOnRestart: true, 13 | notify: false, 14 | ghostMode: false 15 | }) 16 | 17 | gulp.watch('./src/**/*.less', ['style']); 18 | gulp.watch(['src/**/*.js', 'src/*.js'], () => { 19 | runSequence( 20 | 'logic', 21 | browserSync.reload 22 | ); 23 | }); 24 | 25 | gulp.watch('./src/index.html', () => { 26 | runSequence( 27 | 'html', 28 | browserSync.reload 29 | ); 30 | }); 31 | 32 | // gulp.watch('./src/**/*.less', ['style']) 33 | }) 34 | -------------------------------------------------------------------------------- /package.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "inscribed-grid-points", 3 | "version": "0.0.1", 4 | "description": "Shows the points of a grid inscribed in a given triangle", 5 | "author": "Luca Bonavita (mindrones.com)", 6 | "license": "GPL-v3", 7 | "dependencies": { 8 | "@cycle/dom": "^19.0.0", 9 | "@cycle/run": "^3.3.0", 10 | "lodash": "^4.17.4", 11 | "xstream": "^11.0.0" 12 | }, 13 | "devDependencies": { 14 | "babel-core": "^6.26.0", 15 | "babel-preset-env": "^1.6.1", 16 | "babel-register": "^6.26.0", 17 | "browser-sync": "^2.18.13", 18 | "gulp": "^3.9.1", 19 | "gulp-gh-pages": "^0.5.4", 20 | "gulp-less": "^3.3.2", 21 | "gulp-util": "^3.0.8", 22 | "minimist": "^1.2.0", 23 | "rollup": "^0.50.0", 24 | "rollup-plugin-buble": "^0.16.0", 25 | "rollup-plugin-commonjs": "^8.2.4", 26 | "rollup-plugin-node-resolve": "^3.0.0", 27 | "run-sequence": "^2.2.0" 28 | } 29 | } 30 | -------------------------------------------------------------------------------- /src/gridView.js: -------------------------------------------------------------------------------- 1 | import _ from 'lodash'; 2 | import {h} from '@cycle/dom'; 3 | 4 | export default (grid, width, height) => 5 | h('g.grid', _.flatMap(grid, (vertex, direction) => { 6 | if (direction === 'x') { 7 | return vertex.map(n => 8 | h('line.x', { 9 | attrs: { 10 | x1: n, 11 | x2: n, 12 | y1: 0, 13 | y2: height 14 | } 15 | }) 16 | ) 17 | } 18 | if (direction === 'y') { 19 | return vertex.map(n => 20 | h('line.y', { 21 | attrs: { 22 | x1: 0, 23 | x2: width, 24 | y1: n, 25 | y2: n 26 | } 27 | }) 28 | ) 29 | } 30 | }) 31 | ); 32 | -------------------------------------------------------------------------------- /gulp/tasks/logic.js: -------------------------------------------------------------------------------- 1 | import gulp from 'gulp'; 2 | // import gutil from 'gulp-util'; 3 | import { rollup } from 'rollup'; 4 | import nodeResolve from 'rollup-plugin-node-resolve'; 5 | import commonjs from 'rollup-plugin-commonjs'; 6 | import buble from 'rollup-plugin-buble'; 7 | 8 | let cache; 9 | 10 | gulp.task('logic', () => { 11 | return rollup({ 12 | input: 'src/index.js', 13 | plugins: [ 14 | nodeResolve({ 15 | jsnext: true, 16 | main : true, 17 | module: true, 18 | browser: true, 19 | }), 20 | commonjs(), 21 | buble() 22 | ], 23 | cache: cache, 24 | }).then(function(bundle) { 25 | bundle.write({ 26 | file: './dist/build.js', 27 | format: 'iife' 28 | }); 29 | }) 30 | }); 31 | 32 | /* 33 | tweaks to make this build, in: 34 | - node_modules/@cycle/dom/lib/es6/IsolateModule.js 35 | - node_modules/@cycle/dom/lib/es6/makeDOMDriver.js: 36 | import * as MapPolyfill from 'es6-map'; 37 | -> 38 | import MapPolyfill from 'es6-map'; 39 | */ 40 | -------------------------------------------------------------------------------- /src/triangleView.js: -------------------------------------------------------------------------------- 1 | import {h} from '@cycle/dom'; 2 | 3 | export default (triangle, verticesRadius) => 4 | h('g.triangle', [ 5 | // sides 6 | ...triangle.map((vertex, i, triangle) => { 7 | const vertex2 = triangle[i + 1] || triangle [0]; 8 | return h('line', { 9 | attrs: { 10 | x1: vertex.x, 11 | y1: vertex.y, 12 | x2: vertex2.x, 13 | y2: vertex2.y, 14 | class: vertex.y === vertex2.y ? 'horizontal' : null 15 | } 16 | }) 17 | }), 18 | 19 | // verts 20 | ...triangle.map((vertex, index) => 21 | h('g', [ 22 | h('circle.vertex', { 23 | attrs: { 24 | cx: vertex.x, 25 | cy: vertex.y, 26 | r: verticesRadius 27 | } 28 | }), 29 | // h('text', { 30 | // attrs: { 31 | // x: vertex.x, 32 | // y: vertex.y, 33 | // } 34 | // }, [`${index}`]) 35 | ]) 36 | ) 37 | ]); 38 | -------------------------------------------------------------------------------- /src/index.js: -------------------------------------------------------------------------------- 1 | import _ from 'lodash'; 2 | import xs from 'xstream'; 3 | import fromEvent from 'xstream/extra/fromEvent' 4 | import {run} from '@cycle/run'; 5 | import {h, makeDOMDriver} from '@cycle/dom'; 6 | 7 | import gridView from './gridView'; 8 | import triangleView from './triangleView'; 9 | import pointsView from './pointsView'; 10 | 11 | function makeRandomAdimTriangle(withHorizontalSide) { 12 | return _.chain(3) 13 | .range() 14 | .map(i => ({x: Math.random(), y: Math.random()}) ) 15 | .tap(triangle => { 16 | if (withHorizontalSide) { 17 | const index = Math.round(Math.random()) + 1; 18 | triangle[index].y = triangle[index - 1].y; 19 | } 20 | return triangle; 21 | }) 22 | .sortBy(vertex => vertex.y) 23 | .value(); 24 | } 25 | 26 | const lineXAtY = ([p1, p2]) => y => { 27 | if (p2.x === p1.x) { 28 | return p1.x; 29 | } else if (p2.y === p1.y) { 30 | return undefined; 31 | } else { 32 | return p1.x + (y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y) 33 | } 34 | } 35 | 36 | const makeSnapBoundary = spacing => 37 | (n, i) => { 38 | const mod = n % spacing; 39 | return (mod === 0) 40 | ? n + (i === 1 ? spacing : 0) // range excludes last element 41 | : n - mod + spacing 42 | } 43 | 44 | function main({DOM}) { 45 | const SPACING = 20; 46 | const RADIUS = SPACING / 3; 47 | 48 | // intent 49 | 50 | const area$ = xs.merge( 51 | fromEvent(window, 'load'), 52 | fromEvent(window, 'resize') 53 | ).map(ev => ({ 54 | width: window.innerWidth, 55 | height: window.innerHeight, 56 | padding: RADIUS, 57 | spacing: SPACING 58 | })); 59 | const click$ = DOM.select('svg').events('click'); 60 | 61 | const adimTriangle$ = 62 | click$ 63 | .fold(clicks => clicks + 1, 0) 64 | .map(n => makeRandomAdimTriangle(n % 4 === 0)); 65 | 66 | // model 67 | 68 | const state$ = 69 | xs.combine(area$, adimTriangle$) 70 | .map(([area, adimTriangle]) => { 71 | const {width, height, padding, spacing} = area; 72 | 73 | const triangle = adimTriangle.map(v => ({ 74 | x: padding + (width - 2 * padding) * v.x, 75 | y: padding + (height - 2 * padding) * v.y 76 | })); 77 | 78 | const s01 = [triangle[0], triangle[1]]; 79 | const s02 = [triangle[0], triangle[2]]; 80 | const s12 = [triangle[1], triangle[2]]; 81 | 82 | const snapBoundary = makeSnapBoundary(spacing); 83 | 84 | const extentAtYInSides = sides => 85 | y => _.chain(sides) 86 | .map(side => lineXAtY(side)(y)) 87 | .sort((a, b) => a - b) 88 | .map(snapBoundary) 89 | .value(); 90 | 91 | const extentAtY01 = extentAtYInSides([s01, s02]); 92 | const extentAtY12 = extentAtYInSides([s02, s12]); 93 | 94 | const pointsInRange01 = (triangle[0].y === triangle[1].y) 95 | ? (triangle[0].y % spacing === 0) 96 | ? _.map( 97 | _.range(...[triangle[0].x, triangle[1].x].map(snapBoundary), spacing), 98 | x => ({ x, y: triangle[0].y }) 99 | ) : [] 100 | : _.flatMap( 101 | _.range( 102 | ...[triangle[0].y, triangle[1].y].map(snapBoundary), 103 | spacing 104 | ), y => 105 | _.range(...extentAtY01(y), spacing) 106 | .map(x => ({x, y})) 107 | ); 108 | const pointsInRange12 = (triangle[1].y === triangle[2].y) 109 | ? (triangle[1].y % spacing === 0) 110 | ? _.map( 111 | _.range(...[triangle[1].x, triangle[2].x].map(snapBoundary), spacing), 112 | x => ({ x, y: triangle[1].y }) 113 | ) : [] 114 | : _.flatMap( 115 | _.range( 116 | ...[triangle[1].y, triangle[2].y].map(snapBoundary), 117 | spacing 118 | ), y => 119 | _.range(...extentAtY12(y), spacing) 120 | .map(x => ({x, y})) 121 | ); 122 | 123 | const points = [...pointsInRange01, ...pointsInRange12]; 124 | 125 | return { 126 | area, 127 | triangle, 128 | grid: { 129 | x: _.range(spacing, width, spacing), 130 | y: _.range(spacing, height, spacing), 131 | }, 132 | points 133 | } 134 | }); 135 | 136 | // view 137 | 138 | const vdom$ = state$.map(state => 139 | h('svg', { 140 | attrs: { 141 | width: state.area.width, 142 | height: state.area.height, 143 | } 144 | }, [ 145 | gridView(state.grid, state.area.width, state.area.height), 146 | triangleView(state.triangle, 0.8 * RADIUS), 147 | pointsView(state.points, RADIUS) 148 | ]) 149 | ); 150 | 151 | return { 152 | DOM: vdom$, 153 | }; 154 | } 155 | 156 | const drivers = { 157 | DOM: makeDOMDriver('#app'), 158 | }; 159 | 160 | run(main, drivers); 161 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. 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No Surrender of Others' Freedom. 541 | 542 | If conditions are imposed on you (whether by court order, agreement or 543 | otherwise) that contradict the conditions of this License, they do not 544 | excuse you from the conditions of this License. If you cannot convey a 545 | covered work so as to satisfy simultaneously your obligations under this 546 | License and any other pertinent obligations, then as a consequence you may 547 | not convey it at all. For example, if you agree to terms that obligate you 548 | to collect a royalty for further conveying from those to whom you convey 549 | the Program, the only way you could satisfy both those terms and this 550 | License would be to refrain entirely from conveying the Program. 551 | 552 | 13. Use with the GNU Affero General Public License. 553 | 554 | Notwithstanding any other provision of this License, you have 555 | permission to link or combine any covered work with a work licensed 556 | under version 3 of the GNU Affero General Public License into a single 557 | combined work, and to convey the resulting work. The terms of this 558 | License will continue to apply to the part which is the covered work, 559 | but the special requirements of the GNU Affero General Public License, 560 | section 13, concerning interaction through a network will apply to the 561 | combination as such. 562 | 563 | 14. Revised Versions of this License. 564 | 565 | The Free Software Foundation may publish revised and/or new versions of 566 | the GNU General Public License from time to time. Such new versions will 567 | be similar in spirit to the present version, but may differ in detail to 568 | address new problems or concerns. 569 | 570 | Each version is given a distinguishing version number. If the 571 | Program specifies that a certain numbered version of the GNU General 572 | Public License "or any later version" applies to it, you have the 573 | option of following the terms and conditions either of that numbered 574 | version or of any later version published by the Free Software 575 | Foundation. If the Program does not specify a version number of the 576 | GNU General Public License, you may choose any version ever published 577 | by the Free Software Foundation. 578 | 579 | If the Program specifies that a proxy can decide which future 580 | versions of the GNU General Public License can be used, that proxy's 581 | public statement of acceptance of a version permanently authorizes you 582 | to choose that version for the Program. 583 | 584 | Later license versions may give you additional or different 585 | permissions. However, no additional obligations are imposed on any 586 | author or copyright holder as a result of your choosing to follow a 587 | later version. 588 | 589 | 15. Disclaimer of Warranty. 590 | 591 | THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY 592 | APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT 593 | HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY 594 | OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, 595 | THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 596 | PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM 597 | IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF 598 | ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 599 | 600 | 16. Limitation of Liability. 601 | 602 | IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING 603 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS 604 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY 605 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE 606 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF 607 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD 608 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), 609 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF 610 | SUCH DAMAGES. 611 | 612 | 17. Interpretation of Sections 15 and 16. 613 | 614 | If the disclaimer of warranty and limitation of liability provided 615 | above cannot be given local legal effect according to their terms, 616 | reviewing courts shall apply local law that most closely approximates 617 | an absolute waiver of all civil liability in connection with the 618 | Program, unless a warranty or assumption of liability accompanies a 619 | copy of the Program in return for a fee. 620 | 621 | END OF TERMS AND CONDITIONS 622 | 623 | How to Apply These Terms to Your New Programs 624 | 625 | If you develop a new program, and you want it to be of the greatest 626 | possible use to the public, the best way to achieve this is to make it 627 | free software which everyone can redistribute and change under these terms. 628 | 629 | To do so, attach the following notices to the program. It is safest 630 | to attach them to the start of each source file to most effectively 631 | state the exclusion of warranty; and each file should have at least 632 | the "copyright" line and a pointer to where the full notice is found. 633 | 634 | {one line to give the program's name and a brief idea of what it does.} 635 | Copyright (C) {year} {name of author} 636 | 637 | This program is free software: you can redistribute it and/or modify 638 | it under the terms of the GNU General Public License as published by 639 | the Free Software Foundation, either version 3 of the License, or 640 | (at your option) any later version. 641 | 642 | This program is distributed in the hope that it will be useful, 643 | but WITHOUT ANY WARRANTY; without even the implied warranty of 644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 645 | GNU General Public License for more details. 646 | 647 | You should have received a copy of the GNU General Public License 648 | along with this program. If not, see . 649 | 650 | Also add information on how to contact you by electronic and paper mail. 651 | 652 | If the program does terminal interaction, make it output a short 653 | notice like this when it starts in an interactive mode: 654 | 655 | {project} Copyright (C) {year} {fullname} 656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 657 | This is free software, and you are welcome to redistribute it 658 | under certain conditions; type `show c' for details. 659 | 660 | The hypothetical commands `show w' and `show c' should show the appropriate 661 | parts of the General Public License. Of course, your program's commands 662 | might be different; for a GUI interface, you would use an "about box". 663 | 664 | You should also get your employer (if you work as a programmer) or school, 665 | if any, to sign a "copyright disclaimer" for the program, if necessary. 666 | For more information on this, and how to apply and follow the GNU GPL, see 667 | . 668 | 669 | The GNU General Public License does not permit incorporating your program 670 | into proprietary programs. If your program is a subroutine library, you 671 | may consider it more useful to permit linking proprietary applications with 672 | the library. If this is what you want to do, use the GNU Lesser General 673 | Public License instead of this License. But first, please read 674 | . 675 | --------------------------------------------------------------------------------