From cf405839891f98a7b1fe8a295c16ee50ede546be Mon Sep 17 00:00:00 2001 From: Alfred Melch Date: Sun, 14 Jul 2019 20:37:26 +0200 Subject: [PATCH] initial commit --- .gitignore | 3 + benchmarking/.babelrc | 3 + benchmarking/.prettierrc | 4 + benchmarking/package-lock.json | 9878 +++++++++++++++++ benchmarking/package.json | 45 + benchmarking/public/index.html | 23 + benchmarking/public/style.css | 53 + benchmarking/src/benchmarkCases/Case.js | 12 + benchmarking/src/benchmarkCases/index.js | 43 + benchmarking/src/benchmarkCases/simplifyJS.js | 33 + .../src/benchmarkCases/simplifyWasm.js | 59 + benchmarking/src/benchmarkCases/transforms.js | 47 + benchmarking/src/benchmarks/Benchmark.js | 31 + .../src/benchmarks/BenchmarkJSBenchmark.js | 40 + benchmarking/src/benchmarks/BenchmarkSuite.js | 48 + .../src/benchmarks/IterationBenchmark.js | 17 + .../src/benchmarks/OpsPerTimeBenchmark.js | 19 + benchmarking/src/benchmarks/index.js | 9 + .../src/benchmarks/initBenchmarkJS.js | 6 + 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"type": "git", + "url": "git@qgit.de:melch/linestring-simplification.git" + }, + "author": "Alfred Melch (code@melch.pro)", + "license": "ISC", + "dependencies": { + "benchmark": "^2.1.4", + "chart.js": "^2.8.0", + "eslint-plugin-standard": "^4.0.0", + "lodash": "^4.17.11", + "react": "^16.8.6", + "react-chartjs-2": "^2.7.6", + "react-dom": "^16.8.6" + }, + "devDependencies": { + "@babel/core": "^7.4.5", + "@babel/preset-react": "^7.0.0", + "@webpack-cli/serve": "^0.1.8", + "babel-loader": "^8.0.6", + "clean-webpack-plugin": "^3.0.0", + "copy-webpack-plugin": "^5.0.3", + "file-loader": "^4.0.0", + "prettier": "^1.18.2", + "react-hot-loader": "^4.12.0", + "webpack": "^4.34.0", + "webpack-cli": "^3.3.4", + "webpack-dev-server": "^3.7.1" + } +} diff --git a/benchmarking/public/index.html b/benchmarking/public/index.html new file mode 100644 index 0000000..70e1074 --- /dev/null +++ b/benchmarking/public/index.html @@ -0,0 +1,23 @@ + + + + + + + Document + + + + +
+

Benchmarking

+
+
+
+
+ + + + + + \ No newline at end of file diff --git a/benchmarking/public/style.css b/benchmarking/public/style.css new file mode 100644 index 0000000..8f1ac74 --- /dev/null +++ b/benchmarking/public/style.css @@ -0,0 +1,53 @@ +html, +body { + font-family: Arial, Helvetica, sans-serif; + margin: 0; + padding: 0; +} +main { + width: 80%; + margin: 0 auto; +} +#status { + background-color: bisque; +} +form { + display: grid; + grid-template-columns: auto auto; + grid-gap: 10px; + align-items: center; + margin-top: 20px; +} +input[type="submit"] { + grid-column: 1 / -1; +} + +#app { + display: flex; + flex-wrap: wrap; + border: 1px solid black; + justify-content: space-around; +} + +#app > div { + margin: 10px 6px; + border: 1px solid red; +} + +#form-component { + white-space: normal; +} + +#chart-component { + width: 600px; +} + +@media screen and (max-width: 800px) { + #app { + display: block; + } + + #chart-component { + width: auto; + } +} diff --git a/benchmarking/src/benchmarkCases/Case.js b/benchmarking/src/benchmarkCases/Case.js new file mode 100644 index 0000000..8429de4 --- /dev/null +++ b/benchmarking/src/benchmarkCases/Case.js @@ -0,0 +1,12 @@ +export class Case { + constructor(params) { + this.parameters = params + } + + async fn() { + throw Error('No function to benchmark not implemented') + } + + async setup() {} + async tearDown() {} +} diff --git a/benchmarking/src/benchmarkCases/index.js b/benchmarking/src/benchmarkCases/index.js new file mode 100644 index 0000000..9e0322d --- /dev/null +++ b/benchmarking/src/benchmarkCases/index.js @@ -0,0 +1,43 @@ +import { simplifyJSCase, origSimplifyJSCase } from './simplifyJS.js' +import { + transformToArrayFormCase, + transformToObjectFormCase, + origSimplifyWithTransformCase +} from './transforms.js' +import { + simplifyWASMCase, + storeCoordsCase, + loadResultCase +} from './simplifyWasm.js' + +export const chartDependencies = { + wasmStack: [storeCoordsCase, loadResultCase, simplifyWASMCase], + simplifyJSStack: [ + origSimplifyWithTransformCase, + transformToArrayFormCase, + transformToObjectFormCase + ], + wasmVsJs: [origSimplifyJSCase, simplifyWASMCase, simplifyJSCase] +} + +const uniqueFilter = (val, idx, self) => self.indexOf(val) === idx + +export function getChartDependencies(chartNames) { + return chartNames + .map(name => chartDependencies[name]) + .flat() + .filter(uniqueFilter) +} + +export function generateCases(data, formState) { + const cases = [] + const { tolRange, highQual, chart } = formState + let params = { data, highQuality: highQual } + for (let tol of tolRange) { + params = { ...params, tol } + for (let BenchCaseClass of chartDependencies[chart]) { + cases.push(new BenchCaseClass(params)) + } + } + return cases +} diff --git a/benchmarking/src/benchmarkCases/simplifyJS.js b/benchmarking/src/benchmarkCases/simplifyJS.js new file mode 100644 index 0000000..9e5b08f --- /dev/null +++ b/benchmarking/src/benchmarkCases/simplifyJS.js @@ -0,0 +1,33 @@ +import { Case } from './Case.js' + +import simplifyJS from '../../../lib/simplify-js-alternative/simplify.js' +import origSimplifyJS from '../../../lib/turf-simplify/lib/simplify.js' + +function arrayToObjectFormat(coords) { + return coords.map(coord => { + return { x: coord[0], y: coord[1] } + }) +} + +export class simplifyJSCase extends Case { + get name() { + return 'simplifyJS' + } + async fn() { + const { data, tol, highQuality } = this.parameters + simplifyJS(data, tol, highQuality) + } +} + +export class origSimplifyJSCase extends Case { + get name() { + return 'origSimplifyJS' + } + async setup() { + this.parameters.dataObjectForm = arrayToObjectFormat(this.parameters.data) + } + async fn() { + const { dataObjectForm, tol, highQuality } = this.parameters + origSimplifyJS(dataObjectForm, tol, highQuality) + } +} diff --git a/benchmarking/src/benchmarkCases/simplifyWasm.js b/benchmarking/src/benchmarkCases/simplifyWasm.js new file mode 100644 index 0000000..f10ca66 --- /dev/null +++ b/benchmarking/src/benchmarkCases/simplifyWasm.js @@ -0,0 +1,59 @@ +import { + loadResult, + loadResultAndFreeMemory, + storeCoords +} from '../../../lib/wasm-util/coordinates.js' +import { simplifyWasm, getModule } from '../../../lib/simplify-wasm/index.js' + +import { Case } from './Case.js' + +export class simplifyWASMCase extends Case { + get name() { + return 'simplifyWASM' + } + async setup() { + this.parameters.module = await getModule() + } + async fn() { + const { data, tol, highQuality } = this.parameters + await simplifyWasm(data, tol, highQuality) + } +} + +export class storeCoordsCase extends Case { + get name() { + return 'storeCoords' + } + async setup() { + this.parameters.module = await getModule() + } + async fn() { + const { module, data } = this.parameters + const buffer = storeCoords(module, data) + module._free(buffer) + } +} + +export class loadResultCase extends Case { + get name() { + return 'loadResult' + } + async setup() { + const { data, tol, highQual } = this.parameters + + const module = await getModule() + const buffer = storeCoords(module, data) + const result = module._simplify(buffer, data.length * 2, tol, highQual) + module._free(buffer) + + this.parameters = { ...this.parameters, module, result } + } + async fn() { + const { module, result } = this.parameters + loadResult(module, result) + } + async tearDown() { + const { module, result } = this.parameters + loadResultAndFreeMemory(module, result) + } +} diff --git a/benchmarking/src/benchmarkCases/transforms.js b/benchmarking/src/benchmarkCases/transforms.js new file mode 100644 index 0000000..f5ab689 --- /dev/null +++ b/benchmarking/src/benchmarkCases/transforms.js @@ -0,0 +1,47 @@ +import origSimplifyJS from '../../../lib/simplify-js/simplify.js' +import { Case } from './Case.js' + +function arrayToObjectFormat(coords) { + return coords.map(coord => { + return { x: coord[0], y: coord[1] } + }) +} + +function objectToArrayFormat(coords) { + return coords.map(coord => [coord.x, coord.y]) +} + +export class transformToObjectFormCase extends Case { + get name() { + return 'transformToObjectFormCase' + } + async fn() { + arrayToObjectFormat(this.parameters.data) + } +} + +export class transformToArrayFormCase extends Case { + get name() { + return 'transformToArrayFormCase' + } + async setup() { + const { data, tol, highQuality } = this.parameters + const transformed = arrayToObjectFormat(data) + this.parameters.simplified = origSimplifyJS(transformed, tol, highQuality) + } + async fn() { + objectToArrayFormat(this.parameters.simplified) + } +} + +export class origSimplifyWithTransformCase extends Case { + get name() { + return 'origSimplifyWithTransformCase' + } + async fn() { + const { data, tol, highQuality } = this.parameters + const transformed = arrayToObjectFormat(data) + const simplified = origSimplifyJS(transformed, tol, highQuality) + objectToArrayFormat(simplified) + } +} diff --git a/benchmarking/src/benchmarks/Benchmark.js b/benchmarking/src/benchmarks/Benchmark.js new file mode 100644 index 0000000..24af00f --- /dev/null +++ b/benchmarking/src/benchmarks/Benchmark.js @@ -0,0 +1,31 @@ +export class BenchmarkType { + /** + * Superclass for benchmarking a Case + * @param {object} parameters - Parameters for use in fn + * @param {object} functions - setup, fn and tearDown methods + */ + constructor() { + this.stats = {} + } + + setCase(benchmarkCase) { + this.case = benchmarkCase + } + + /** Returns the mean time in milliseconds */ + async run() { + let mean + if (typeof this.case === 'undefined') { + throw Error('no Benchmarking case set') + } + await this.case.setup() + mean = await this.measure() + await this.case.tearDown() + return mean + } + + /** Implementation of the benchmarking procedure */ + async measure() { + throw new Error('Method "measure" not implemented!') + } +} diff --git a/benchmarking/src/benchmarks/BenchmarkJSBenchmark.js b/benchmarking/src/benchmarks/BenchmarkJSBenchmark.js new file mode 100644 index 0000000..a0a767e --- /dev/null +++ b/benchmarking/src/benchmarks/BenchmarkJSBenchmark.js @@ -0,0 +1,40 @@ +import { Benchmark as BenchmarkJS } from './initBenchmarkJS.js' +import { BenchmarkType } from './Benchmark.js' + +export class BenchmarkJSBenchmark extends BenchmarkType { + async measure() { + this.constructSuite() + await this.runSuite() + return this.mean + } + + constructSuite() { + this.suite = new BenchmarkJS.Suite() + this.suite.add(this.case.name, { + defer: true, + fn: this.resolvingFn.bind(this) + }) + this.suite.on('cycle', this.onCycle.bind(this)) + } + + async resolvingFn(deferred) { + await this.case.fn() + deferred.resolve() + } + + onCycle(ev) { + this.mean = ev.target.stats.mean * 1000 + } + + async runSuite() { + const suitePromise = this.promisifySuite() + this.suite.run({ async: true }) + await suitePromise + } + + promisifySuite() { + return new Promise(resolve => { + this.suite.on('complete', resolve) + }) + } +} diff --git a/benchmarking/src/benchmarks/BenchmarkSuite.js b/benchmarking/src/benchmarks/BenchmarkSuite.js new file mode 100644 index 0000000..89850ce --- /dev/null +++ b/benchmarking/src/benchmarks/BenchmarkSuite.js @@ -0,0 +1,48 @@ +export class BenchmarkSuite { + constructor() { + this.reset() + } + + reset() { + this.cases = [] + this.stats = {} + } + + setBenchmarkType(benchmarktype) { + this.benchmarktype = benchmarktype + } + + setCases(cases) { + this.stats = {} + this.cases = cases + for (let c of this.cases) { + this.stats[c.name] = [] + } + } + + onCycle(i, count, stats) {} + + async run(callback) { + let mean + let i = 0 + const count = this.cases.length + this.onCycle(i, count, this.stats) + for (const benchCase of this.cases) { + this.benchmarktype.setCase(benchCase) + mean = await this.benchmarktype.run() + this.stats[benchCase.name] = [...this.stats[benchCase.name], mean] + i++ + this.onCycle(i, count, this.stats) + await this.freeEventLoop() + } + } + + /** + * Promise that uses setTimeout to resolve. + * This is a hack to free the eventloop from microtasks. + * Without this rendering blocks during benchmarks. + */ + async freeEventLoop() { + return new Promise(resolve => setTimeout(resolve, 0)) + } +} diff --git a/benchmarking/src/benchmarks/IterationBenchmark.js b/benchmarking/src/benchmarks/IterationBenchmark.js new file mode 100644 index 0000000..740f78c --- /dev/null +++ b/benchmarking/src/benchmarks/IterationBenchmark.js @@ -0,0 +1,17 @@ +import { BenchmarkType } from './Benchmark.js' + +export class IterationsBenchmark extends BenchmarkType { + constructor(iterations) { + super() + this.iterations = iterations + } + + async measure() { + let start = performance.now() + for (let i = 0; i < this.iterations; i++) { + await this.case.fn() + } + let stop = performance.now() + return (stop - start) / this.iterations + } +} diff --git a/benchmarking/src/benchmarks/OpsPerTimeBenchmark.js b/benchmarking/src/benchmarks/OpsPerTimeBenchmark.js new file mode 100644 index 0000000..5da879c --- /dev/null +++ b/benchmarking/src/benchmarks/OpsPerTimeBenchmark.js @@ -0,0 +1,19 @@ +import { BenchmarkType } from './Benchmark.js' + +export class OpsPerTimeBenchmark extends BenchmarkType { + constructor(timeToRun) { + super() + this.timeToRun = timeToRun + } + + async measure() { + let start = performance.now() + let iterations = 0 + while (performance.now() - start < this.timeToRun) { + iterations++ + await this.case.fn() + } + let stop = performance.now() + return (stop - start) / iterations + } +} diff --git a/benchmarking/src/benchmarks/index.js b/benchmarking/src/benchmarks/index.js new file mode 100644 index 0000000..2c4dc4a --- /dev/null +++ b/benchmarking/src/benchmarks/index.js @@ -0,0 +1,9 @@ +import { IterationsBenchmark } from './IterationBenchmark' +import { OpsPerTimeBenchmark } from './OpsPerTimeBenchmark' +import { BenchmarkJSBenchmark } from './BenchmarkJSBenchmark' + +export const benchmarkTypes = { + benchmarkJS: BenchmarkJSBenchmark, + iteration: IterationsBenchmark, + opsPerTime: OpsPerTimeBenchmark +} diff --git a/benchmarking/src/benchmarks/initBenchmarkJS.js b/benchmarking/src/benchmarks/initBenchmarkJS.js new file mode 100644 index 0000000..270ed3a --- /dev/null +++ b/benchmarking/src/benchmarks/initBenchmarkJS.js @@ -0,0 +1,6 @@ +import _ from 'lodash' +import process from 'process' + +const benchmark = require('benchmark') +export const Benchmark = benchmark.runInContext({ _, process }) +window.Benchmark = Benchmark diff --git a/benchmarking/src/components/chart.js b/benchmarking/src/components/chart.js new file mode 100644 index 0000000..f31d4e2 --- /dev/null +++ b/benchmarking/src/components/chart.js @@ -0,0 +1,104 @@ +import React, { Component } from 'react' +import { Line } from 'react-chartjs-2' + +import { data } from '../../../data/large.js' +import simplifyJS from '../../../lib/simplify-js-alternative/simplify.js' + +export function simplifyMapper(labels, highQual) { + // console.log(labels, highQual) + // console.log(labels.map(tol => simplifyJS(data, tol, highQual))) + return labels.map(tol => simplifyJS(data, tol, highQual).length) +} + +export class Chart extends Component { + constructor(props) { + super(props) + this.state = { + data: chartData, + options: chartOptions + } + } + + render() { + let labels = this.props.labels.map(x => x.toFixed(3)) + const data = { ...chartData, labels } + data.datasets[0].data = this.props.data['simplifyWASM'] || [] + data.datasets[1].data = this.props.data['simplifyJS'] || [] + data.datasets[2].data = this.props.data['origSimplifyJS'] || [] + data.datasets[3].data = simplifyMapper( + this.props.labels, + this.props.highQual + ) + return ( +
+

Chart

+ +
+ ) + } +} + +const chartData = { + datasets: [ + { + label: 'simplifyWASM', + backgroundColor: 'red', + borderColor: 'red', + fill: false + }, + { + label: 'simplifyJS', + backgroundColor: 'blue', + borderColor: 'blue', + fill: false + }, + { + label: 'origSimplifyJS', + backgroundColor: 'green', + borderColor: 'green', + fill: false + }, + { + label: 'numberOfNodes', + fill: false, + yAxisID: 'nodes', + data: [1, 2, 3] + } + ] +} + +const chartOptions = { + title: { + display: true, + text: 'simplifyWasm VS simplifyJS' + }, + tooltips: { + mode: 'index', + intersect: false + }, + hover: { + mode: 'nearest', + intersect: false + }, + scales: { + yAxes: [ + { + id: 'performance', + type: 'linear' + }, + { + id: 'nodes', + position: 'right', + type: 'linear', + gridLines: { + drawOnChartArea: false + } + } + ] + } +} diff --git a/benchmarking/src/components/form.js b/benchmarking/src/components/form.js new file mode 100644 index 0000000..106818b --- /dev/null +++ b/benchmarking/src/components/form.js @@ -0,0 +1,145 @@ +import React, { Component } from 'react' + +export class Form extends Component { + constructor(props) { + super(props) + this.state = { + tolStart: 0.1, + tolStep: 0.1, + tolEnd: 1, + highQual: true, + chart: 'wasmVsJs', + benchMethod: 'iteration', + iterations: 10, + timeToRun: 200 + } + + this.handleInputChange = this.handleInputChange.bind(this) + this.handleSubmit = this.handleSubmit.bind(this) + this.props.onFormChange(this.state) + } + + handleSubmit(event) { + event.preventDefault() + this.props.onFormSubmit() + } + + handleInputChange(event) { + let name, value + const target = event.target + value = target.type === 'checkbox' ? target.checked : target.value + value = target.type === 'number' ? Number(value) : value + value = target.type === 'range' ? Number(value) : value + name = target.name + this.setState({ [name]: value }) + this.props.onFormChange({ ...this.state, [name]: value }) + } + + render() { + return ( +
+

Settings

+
+ + + + + + + + + + + + + + + + + + {this.state.benchMethod === 'iteration' && ( + + )} + {this.state.benchMethod === 'iteration' && ( + + )} + {this.state.benchMethod === 'opsPerTime' && ( + + )} + {this.state.benchMethod === 'opsPerTime' && ( + + )} + + +
+
+ ) + } +} diff --git a/benchmarking/src/components/progress.js b/benchmarking/src/components/progress.js new file mode 100644 index 0000000..081e9c5 --- /dev/null +++ b/benchmarking/src/components/progress.js @@ -0,0 +1,14 @@ +import React from 'react' + +export const Progress = props => { + const { totalCount, finishedCount } = props + let percentage = totalCount === 0 ? 0 : (finishedCount * 100) / totalCount + percentage = percentage.toFixed(2) + let text = `${percentage}% of benchmarks completed (${finishedCount}/${totalCount})` + return ( +
+

Status

+ {text} +
+ ) +} diff --git a/benchmarking/src/index.js b/benchmarking/src/index.js new file mode 100644 index 0000000..3c2e199 --- /dev/null +++ b/benchmarking/src/index.js @@ -0,0 +1,102 @@ +import React, { Component } from 'react' +import ReactDOM from 'react-dom' + +import { data } from '../../data/large.js' + +import { Form } from './components/form.js' +import { Chart } from './components/chart.js' +import { Progress } from './components/progress.js' + +import { BenchmarkSuite } from './benchmarks/BenchmarkSuite.js' +import { generateCases } from './benchmarkCases/index.js' +import { IterationsBenchmark } from './benchmarks/IterationBenchmark.js' +import { BenchmarkJSBenchmark } from './benchmarks/BenchmarkJSBenchmark.js' +import { OpsPerTimeBenchmark } from './benchmarks/OpsPerTimeBenchmark.js' + +class App extends Component { + constructor(props) { + super(props) + this.handleformChange = this.handleformChange.bind(this) + this.handleFormSubmit = this.handleFormSubmit.bind(this) + + this.state = { + stats: {}, + formState: { tolRange: [] }, + totalCount: 0, + finishedCount: 0 + } + + this.suite = new BenchmarkSuite(new IterationsBenchmark(10)) + this.suite.onCycle = (i, count, stats) => { + this.setState({ + finishedCount: i, + totalCount: count, + stats: stats + }) + } + } + + async handleFormSubmit() { + this.runBenchmarks() + } + + handleformChange(formState) { + const { tolStart, tolEnd, tolStep } = formState + const tolRange = [] + for (let i = tolStart; i < tolEnd; i += tolStep) { + tolRange.push(i) + } + this.setState({ formState: { ...formState, tolRange } }) + } + + async runBenchmarks() { + this.suite.reset() + let benchtype + console.log(this.state.formState.benchMethod) + switch (this.state.formState.benchMethod) { + case 'benchmarkJS': + benchtype = new BenchmarkJSBenchmark() + break + case 'iteration': + benchtype = new IterationsBenchmark(this.state.formState.iterations) + break + case 'opsPerTime': + benchtype = new OpsPerTimeBenchmark(this.state.formState.timeToRun) + break + default: + console.warn('benchmark type "' + this.state.benchtype + '" not known') + benchtype = new IterationsBenchmark(10) + } + this.suite.setBenchmarkType(benchtype) + this.suite.setCases(generateCases(data, this.state.formState)) + updateStatus('Running') + await this.suite.run() + updateStatus('Finished') + } + + render() { + return ( +
+
+ + +
+ ) + } +} + +ReactDOM.render(, document.getElementsByTagName('main')[0]) + +const updateStatus = status => { + console.log(status) +} diff --git a/benchmarking/webpack.config.js b/benchmarking/webpack.config.js new file mode 100644 index 0000000..e721f97 --- /dev/null +++ b/benchmarking/webpack.config.js @@ -0,0 +1,40 @@ +const { CleanWebpackPlugin } = require('clean-webpack-plugin') +const CopyPlugin = require('copy-webpack-plugin') +const path = require('path') + +module.exports = { + entry: './src/index.js', + output: { + path: path.resolve(__dirname, 'dist'), + filename: 'bundle.js' + }, + module: { + // Suppress warnings and errors logged by benchmark.js when bundled using webpack. + noParse: [path.resolve(__dirname, './node_modules/benchmark/benchmark.js')], + rules: [ + { + test: /\.js$/, + loaders: ['babel-loader'], + exclude: [/node_modules/, /data/] + }, + { + test: /\.wasm$/, + type: 'javascript/auto', + loader: 'file-loader', + options: { + name: '[name].[hash:5].[ext]' + } + } + ] + }, + plugins: [new CleanWebpackPlugin(), new CopyPlugin([{ from: 'public' }])], + devtool: 'source-map', + // to make webpack work with emscripten js files + target: 'web', + node: { + __dirname: false, + fs: 'empty', + Buffer: false, + process: false + } +} diff --git a/data/large.js b/data/large.js new file mode 100644 index 0000000..d2e1ab2 --- /dev/null +++ b/data/large.js @@ -0,0 +1 @@ +export const data = [[224.55,250.15],[224.55,250.14],[224.53,250.14],[224.53,250.15],[224.53,250.16],[224.53,250.16],[224.53,250.17],[224.53,250.17],[224.53,250.18],[224.53,250.18],[224.52,250.18],[224.52,250.18],[224.52,250.18],[224.52,250.18],[224.51,250.18],[224.51,250.18],[224.51,250.17],[224.51,250.17],[224.5,250.17],[224.5,250.17],[224.5,250.17],[224.5,250.17],[224.5,250.17],[224.5,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.17],[224.49,250.18],[224.49,250.18],[224.49,250.18],[224.49,250.18],[224.49,250.19],[224.48,250.2],[224.48,250.21],[224.48,250.21],[224.48,250.21],[224.48,250.21],[224.49,250.22],[224.49,250.22],[224.49,250.23],[224.5,250.25],[224.51,250.26],[224.51,250.27],[224.52,250.28],[224.52,250.28],[224.52,250.28],[224.52,250.29],[224.52,250.29],[224.52,250.29],[224.52,250.3],[224.52,250.3],[224.52,250.31],[224.52,250.31],[224.52,250.31],[224.52,250.32],[224.52,250.32],[224.52,250.32],[224.52,250.33],[224.53,250.33],[224.53,250.35],[224.54,250.35],[224.54,250.36],[224.55,250.36],[224.55,250.37],[224.55,250.38],[224.55,250.38],[224.55,250.39],[224.56,250.39],[224.56,250.4],[224.57,250.4],[224.57,250.41],[224.58,250.41],[224.58,250.42],[224.59,250.42],[224.59,250.43],[224.59,250.44],[224.6,250.46],[224.6,250.46],[224.6,250.47],[224.6,250.47],[224.61,250.48],[224.62,250.49],[224.63,250.5],[224.63,250.5],[224.64,250.51],[224.65,250.53],[224.66,250.54],[224.67,250.56],[224.67,250.57],[224.68,250.58],[224.68,250.59],[224.69,250.6],[224.69,250.6],[224.69,250.6],[224.69,250.6],[224.69,250.61],[224.69,250.61],[224.69,250.61],[224.69,250.61],[224.69,250.61],[224.68,250.6],[224.68,250.6],[224.69,250.59],[224.69,250.59],[224.69,250.58],[224.69,250.57],[224.69,250.56],[224.69,250.56],[224.69,250.55],[224.69,250.55],[224.69,250.54],[224.69,250.54],[224.7,250.53],[224.7,250.53],[224.7,250.52],[224.71,250.52],[224.71,250.51],[224.72,250.5],[224.72,250.5],[224.72,250.49],[224.73,250.49],[224.73,250.49],[224.74,250.48],[224.74,250.48],[224.75,250.47],[224.76,250.46],[224.78,250.45],[224.79,250.44],[224.81,250.43],[224.82,250.42],[224.82,250.42],[224.83,250.42],[224.83,250.41],[224.84,250.4],[224.85,250.39],[224.86,250.38],[224.86,250.38],[224.87,250.37],[224.88,250.36],[224.88,250.36],[224.89,250.35],[224.9,250.34],[224.91,250.34],[224.92,250.33],[224.92,250.33],[224.92,250.33],[224.93,250.33],[224.93,250.32],[224.93,250.31],[224.94,250.31],[224.94,250.3],[224.94,250.3],[224.95,250.29],[224.95,250.28],[224.95,250.28],[224.96,250.27],[224.96,250.26],[224.97,250.26],[224.98,250.25],[224.98,250.25],[224.99,250.24],[224.99,250.23],[225,250.22],[225,250.21],[225.01,250.21],[225.01,250.2],[225.02,250.19],[225.02,250.18],[225.03,250.17],[225.04,250.17],[225.04,250.16],[225.05,250.15],[225.06,250.14],[225.06,250.13],[225.07,250.12],[225.07,250.11],[225.08,250.1],[225.09,250.09],[225.09,250.08],[225.1,250.07],[225.1,250.06],[225.11,250.05],[225.12,250.05],[225.12,250.04],[225.12,250.04],[225.13,250.03],[225.13,250.02],[225.13,250.02],[225.14,250.02],[225.14,250.02],[225.14,250.01],[225.14,250.01],[225.14,250],[225.14,249.99],[225.15,249.98],[225.15,249.97],[225.15,249.96],[225.15,249.95],[225.15,249.95],[225.15,249.94],[225.15,249.93],[225.14,249.92],[225.14,249.91],[225.14,249.9],[225.14,249.89],[225.14,249.89],[225.14,249.89],[225.14,249.88],[225.14,249.87],[225.14,249.86],[225.14,249.85],[225.14,249.85],[225.15,249.84],[225.15,249.84],[225.15,249.83],[225.15,249.82],[225.15,249.82],[225.15,249.81],[225.15,249.81],[225.15,249.81],[225.15,249.8],[225.15,249.8],[225.15,249.8],[225.15,249.8],[225.14,249.79],[225.14,249.79],[225.13,249.79],[225.13,249.79],[225.13,249.78],[225.12,249.77],[225.11,249.77],[225.11,249.77],[225.11,249.76],[225.11,249.76],[225.1,249.77],[225.1,249.77],[225.09,249.77],[225.08,249.76],[225.06,249.76],[225.04,249.75],[225,249.74],[224.99,249.73],[224.96,249.72],[224.95,249.71],[224.94,249.71],[224.93,249.71],[224.91,249.71],[224.9,249.71],[224.89,249.7],[224.87,249.7],[224.86,249.7],[224.85,249.69],[224.82,249.67],[224.79,249.66],[224.77,249.64],[224.76,249.63],[224.74,249.61],[224.7,249.58],[224.67,249.55],[224.64,249.52],[224.6,249.48],[224.57,249.45],[224.53,249.42],[224.5,249.39],[224.46,249.35],[224.43,249.32],[224.42,249.31],[224.41,249.3],[224.4,249.3],[224.39,249.29],[224.38,249.29],[224.37,249.28],[224.37,249.28],[224.36,249.28],[224.35,249.27],[224.34,249.27],[224.32,249.27],[224.31,249.27],[224.3,249.27],[224.29,249.27],[224.28,249.26],[224.27,249.26],[224.26,249.26],[224.25,249.26],[224.24,249.26],[224.23,249.26],[224.22,249.26],[224.2,249.27],[224.2,249.27],[224.19,249.27],[224.19,249.27],[224.18,249.26],[224.18,249.26],[224.17,249.26],[224.17,249.25],[224.17,249.25],[224.16,249.25],[224.16,249.25],[224.16,249.24],[224.16,249.24],[224.16,249.24],[224.16,249.23],[224.15,249.23],[224.15,249.23],[224.15,249.23],[224.15,249.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diff --git a/data/small.js b/data/small.js new file mode 100644 index 0000000..f1600fe --- /dev/null +++ b/data/small.js @@ -0,0 +1 @@ +export const data = [[0, 0], [1, 1], [1, 2], [2, 2], [5, 5], [5, 0], [6, 10], [10, 10]] diff --git a/lib/psimpl/LICENSE.txt b/lib/psimpl/LICENSE.txt new file mode 100644 index 0000000..7714141 --- /dev/null +++ b/lib/psimpl/LICENSE.txt @@ -0,0 +1,470 @@ + MOZILLA PUBLIC LICENSE + Version 1.1 + + --------------- + +1. Definitions. + + 1.0.1. "Commercial Use" means distribution or otherwise making the + Covered Code available to a third party. + + 1.1. "Contributor" means each entity that creates or contributes to + the creation of Modifications. + + 1.2. "Contributor Version" means the combination of the Original + Code, prior Modifications used by a Contributor, and the Modifications + made by that particular Contributor. + + 1.3. "Covered Code" means the Original Code or Modifications or the + combination of the Original Code and Modifications, in each case + including portions thereof. + + 1.4. "Electronic Distribution Mechanism" means a mechanism generally + accepted in the software development community for the electronic + transfer of data. + + 1.5. "Executable" means Covered Code in any form other than Source + Code. + + 1.6. "Initial Developer" means the individual or entity identified + as the Initial Developer in the Source Code notice required by Exhibit + A. + + 1.7. "Larger Work" means a work which combines Covered Code or + portions thereof with code not governed by the terms of this License. + + 1.8. "License" means this document. + + 1.8.1. "Licensable" means having the right to grant, to the maximum + extent possible, whether at the time of the initial grant or + subsequently acquired, any and all of the rights conveyed herein. + + 1.9. "Modifications" means any addition to or deletion from the + substance or structure of either the Original Code or any previous + Modifications. When Covered Code is released as a series of files, a + Modification is: + A. Any addition to or deletion from the contents of a file + containing Original Code or previous Modifications. + + B. Any new file that contains any part of the Original Code or + previous Modifications. + + 1.10. "Original Code" means Source Code of computer software code + which is described in the Source Code notice required by Exhibit A as + Original Code, and which, at the time of its release under this + License is not already Covered Code governed by this License. + + 1.10.1. "Patent Claims" means any patent claim(s), now owned or + hereafter acquired, including without limitation, method, process, + and apparatus claims, in any patent Licensable by grantor. + + 1.11. "Source Code" means the preferred form of the Covered Code for + making modifications to it, including all modules it contains, plus + any associated interface definition files, scripts used to control + compilation and installation of an Executable, or source code + differential comparisons against either the Original Code or another + well known, available Covered Code of the Contributor's choice. The + Source Code can be in a compressed or archival form, provided the + appropriate decompression or de-archiving software is widely available + for no charge. + + 1.12. "You" (or "Your") means an individual or a legal entity + exercising rights under, and complying with all of the terms of, this + License or a future version of this License issued under Section 6.1. + For legal entities, "You" includes any entity which controls, is + controlled by, or is under common control with You. For purposes of + this definition, "control" means (a) the power, direct or indirect, + to cause the direction or management of such entity, whether by + contract or otherwise, or (b) ownership of more than fifty percent + (50%) of the outstanding shares or beneficial ownership of such + entity. + +2. Source Code License. + + 2.1. The Initial Developer Grant. + The Initial Developer hereby grants You a world-wide, royalty-free, + non-exclusive license, subject to third party intellectual property + claims: + (a) under intellectual property rights (other than patent or + trademark) Licensable by Initial Developer to use, reproduce, + modify, display, perform, sublicense and distribute the Original + Code (or portions thereof) with or without Modifications, and/or + as part of a Larger Work; and + + (b) under Patents Claims infringed by the making, using or + selling of Original Code, to make, have made, use, practice, + sell, and offer for sale, and/or otherwise dispose of the + Original Code (or portions thereof). + + (c) the licenses granted in this Section 2.1(a) and (b) are + effective on the date Initial Developer first distributes + Original Code under the terms of this License. + + (d) Notwithstanding Section 2.1(b) above, no patent license is + granted: 1) for code that You delete from the Original Code; 2) + separate from the Original Code; or 3) for infringements caused + by: i) the modification of the Original Code or ii) the + combination of the Original Code with other software or devices. + + 2.2. Contributor Grant. + Subject to third party intellectual property claims, each Contributor + hereby grants You a world-wide, royalty-free, non-exclusive license + + (a) under intellectual property rights (other than patent or + trademark) Licensable by Contributor, to use, reproduce, modify, + display, perform, sublicense and distribute the Modifications + created by such Contributor (or portions thereof) either on an + unmodified basis, with other Modifications, as Covered Code + and/or as part of a Larger Work; and + + (b) under Patent Claims infringed by the making, using, or + selling of Modifications made by that Contributor either alone + and/or in combination with its Contributor Version (or portions + of such combination), to make, use, sell, offer for sale, have + made, and/or otherwise dispose of: 1) Modifications made by that + Contributor (or portions thereof); and 2) the combination of + Modifications made by that Contributor with its Contributor + Version (or portions of such combination). + + (c) the licenses granted in Sections 2.2(a) and 2.2(b) are + effective on the date Contributor first makes Commercial Use of + the Covered Code. + + (d) Notwithstanding Section 2.2(b) above, no patent license is + granted: 1) for any code that Contributor has deleted from the + Contributor Version; 2) separate from the Contributor Version; + 3) for infringements caused by: i) third party modifications of + Contributor Version or ii) the combination of Modifications made + by that Contributor with other software (except as part of the + Contributor Version) or other devices; or 4) under Patent Claims + infringed by Covered Code in the absence of Modifications made by + that Contributor. + +3. Distribution Obligations. + + 3.1. Application of License. + The Modifications which You create or to which You contribute are + governed by the terms of this License, including without limitation + Section 2.2. The Source Code version of Covered Code may be + distributed only under the terms of this License or a future version + of this License released under Section 6.1, and You must include a + copy of this License with every copy of the Source Code You + distribute. You may not offer or impose any terms on any Source Code + version that alters or restricts the applicable version of this + License or the recipients' rights hereunder. However, You may include + an additional document offering the additional rights described in + Section 3.5. + + 3.2. Availability of Source Code. + Any Modification which You create or to which You contribute must be + made available in Source Code form under the terms of this License + either on the same media as an Executable version or via an accepted + Electronic Distribution Mechanism to anyone to whom you made an + Executable version available; and if made available via Electronic + Distribution Mechanism, must remain available for at least twelve (12) + months after the date it initially became available, or at least six + (6) months after a subsequent version of that particular Modification + has been made available to such recipients. You are responsible for + ensuring that the Source Code version remains available even if the + Electronic Distribution Mechanism is maintained by a third party. + + 3.3. Description of Modifications. + You must cause all Covered Code to which You contribute to contain a + file documenting the changes You made to create that Covered Code and + the date of any change. You must include a prominent statement that + the Modification is derived, directly or indirectly, from Original + Code provided by the Initial Developer and including the name of the + Initial Developer in (a) the Source Code, and (b) in any notice in an + Executable version or related documentation in which You describe the + origin or ownership of the Covered Code. + + 3.4. Intellectual Property Matters + (a) Third Party Claims. + If Contributor has knowledge that a license under a third party's + intellectual property rights is required to exercise the rights + granted by such Contributor under Sections 2.1 or 2.2, + Contributor must include a text file with the Source Code + distribution titled "LEGAL" which describes the claim and the + party making the claim in sufficient detail that a recipient will + know whom to contact. If Contributor obtains such knowledge after + the Modification is made available as described in Section 3.2, + Contributor shall promptly modify the LEGAL file in all copies + Contributor makes available thereafter and shall take other steps + (such as notifying appropriate mailing lists or newsgroups) + reasonably calculated to inform those who received the Covered + Code that new knowledge has been obtained. + + (b) Contributor APIs. + If Contributor's Modifications include an application programming + interface and Contributor has knowledge of patent licenses which + are reasonably necessary to implement that API, Contributor must + also include this information in the LEGAL file. + + (c) Representations. + Contributor represents that, except as disclosed pursuant to + Section 3.4(a) above, Contributor believes that Contributor's + Modifications are Contributor's original creation(s) and/or + Contributor has sufficient rights to grant the rights conveyed by + this License. + + 3.5. Required Notices. + You must duplicate the notice in Exhibit A in each file of the Source + Code. If it is not possible to put such notice in a particular Source + Code file due to its structure, then You must include such notice in a + location (such as a relevant directory) where a user would be likely + to look for such a notice. If You created one or more Modification(s) + You may add your name as a Contributor to the notice described in + Exhibit A. You must also duplicate this License in any documentation + for the Source Code where You describe recipients' rights or ownership + rights relating to Covered Code. You may choose to offer, and to + charge a fee for, warranty, support, indemnity or liability + obligations to one or more recipients of Covered Code. However, You + may do so only on Your own behalf, and not on behalf of the Initial + Developer or any Contributor. You must make it absolutely clear than + any such warranty, support, indemnity or liability obligation is + offered by You alone, and You hereby agree to indemnify the Initial + Developer and every Contributor for any liability incurred by the + Initial Developer or such Contributor as a result of warranty, + support, indemnity or liability terms You offer. + + 3.6. Distribution of Executable Versions. + You may distribute Covered Code in Executable form only if the + requirements of Section 3.1-3.5 have been met for that Covered Code, + and if You include a notice stating that the Source Code version of + the Covered Code is available under the terms of this License, + including a description of how and where You have fulfilled the + obligations of Section 3.2. The notice must be conspicuously included + in any notice in an Executable version, related documentation or + collateral in which You describe recipients' rights relating to the + Covered Code. You may distribute the Executable version of Covered + Code or ownership rights under a license of Your choice, which may + contain terms different from this License, provided that You are in + compliance with the terms of this License and that the license for the + Executable version does not attempt to limit or alter the recipient's + rights in the Source Code version from the rights set forth in this + License. If You distribute the Executable version under a different + license You must make it absolutely clear that any terms which differ + from this License are offered by You alone, not by the Initial + Developer or any Contributor. You hereby agree to indemnify the + Initial Developer and every Contributor for any liability incurred by + the Initial Developer or such Contributor as a result of any such + terms You offer. + + 3.7. Larger Works. + You may create a Larger Work by combining Covered Code with other code + not governed by the terms of this License and distribute the Larger + Work as a single product. In such a case, You must make sure the + requirements of this License are fulfilled for the Covered Code. + +4. Inability to Comply Due to Statute or Regulation. + + If it is impossible for You to comply with any of the terms of this + License with respect to some or all of the Covered Code due to + statute, judicial order, or regulation then You must: (a) comply with + the terms of this License to the maximum extent possible; and (b) + describe the limitations and the code they affect. Such description + must be included in the LEGAL file described in Section 3.4 and must + be included with all distributions of the Source Code. Except to the + extent prohibited by statute or regulation, such description must be + sufficiently detailed for a recipient of ordinary skill to be able to + understand it. + +5. Application of this License. + + This License applies to code to which the Initial Developer has + attached the notice in Exhibit A and to related Covered Code. + +6. Versions of the License. + + 6.1. New Versions. + Netscape Communications Corporation ("Netscape") may publish revised + and/or new versions of the License from time to time. Each version + will be given a distinguishing version number. + + 6.2. Effect of New Versions. + Once Covered Code has been published under a particular version of the + License, You may always continue to use it under the terms of that + version. You may also choose to use such Covered Code under the terms + of any subsequent version of the License published by Netscape. No one + other than Netscape has the right to modify the terms applicable to + Covered Code created under this License. + + 6.3. Derivative Works. + If You create or use a modified version of this License (which you may + only do in order to apply it to code which is not already Covered Code + governed by this License), You must (a) rename Your license so that + the phrases "Mozilla", "MOZILLAPL", "MOZPL", "Netscape", + "MPL", "NPL" or any confusingly similar phrase do not appear in your + license (except to note that your license differs from this License) + and (b) otherwise make it clear that Your version of the license + contains terms which differ from the Mozilla Public License and + Netscape Public License. (Filling in the name of the Initial + Developer, Original Code or Contributor in the notice described in + Exhibit A shall not of themselves be deemed to be modifications of + this License.) + +7. DISCLAIMER OF WARRANTY. + + COVERED CODE IS PROVIDED UNDER THIS LICENSE ON AN "AS IS" BASIS, + WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, + WITHOUT LIMITATION, WARRANTIES THAT THE COVERED CODE IS FREE OF + DEFECTS, MERCHANTABLE, FIT FOR A PARTICULAR PURPOSE OR NON-INFRINGING. + THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE COVERED CODE + IS WITH YOU. SHOULD ANY COVERED CODE PROVE DEFECTIVE IN ANY RESPECT, + YOU (NOT THE INITIAL DEVELOPER OR ANY OTHER CONTRIBUTOR) ASSUME THE + COST OF ANY NECESSARY SERVICING, REPAIR OR CORRECTION. THIS DISCLAIMER + OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS LICENSE. NO USE OF + ANY COVERED CODE IS AUTHORIZED HEREUNDER EXCEPT UNDER THIS DISCLAIMER. + +8. TERMINATION. + + 8.1. This License and the rights granted hereunder will terminate + automatically if You fail to comply with terms herein and fail to cure + such breach within 30 days of becoming aware of the breach. All + sublicenses to the Covered Code which are properly granted shall + survive any termination of this License. Provisions which, by their + nature, must remain in effect beyond the termination of this License + shall survive. + + 8.2. If You initiate litigation by asserting a patent infringement + claim (excluding declatory judgment actions) against Initial Developer + or a Contributor (the Initial Developer or Contributor against whom + You file such action is referred to as "Participant") alleging that: + + (a) such Participant's Contributor Version directly or indirectly + infringes any patent, then any and all rights granted by such + Participant to You under Sections 2.1 and/or 2.2 of this License + shall, upon 60 days notice from Participant terminate prospectively, + unless if within 60 days after receipt of notice You either: (i) + agree in writing to pay Participant a mutually agreeable reasonable + royalty for Your past and future use of Modifications made by such + Participant, or (ii) withdraw Your litigation claim with respect to + the Contributor Version against such Participant. If within 60 days + of notice, a reasonable royalty and payment arrangement are not + mutually agreed upon in writing by the parties or the litigation claim + is not withdrawn, the rights granted by Participant to You under + Sections 2.1 and/or 2.2 automatically terminate at the expiration of + the 60 day notice period specified above. + + (b) any software, hardware, or device, other than such Participant's + Contributor Version, directly or indirectly infringes any patent, then + any rights granted to You by such Participant under Sections 2.1(b) + and 2.2(b) are revoked effective as of the date You first made, used, + sold, distributed, or had made, Modifications made by that + Participant. + + 8.3. If You assert a patent infringement claim against Participant + alleging that such Participant's Contributor Version directly or + indirectly infringes any patent where such claim is resolved (such as + by license or settlement) prior to the initiation of patent + infringement litigation, then the reasonable value of the licenses + granted by such Participant under Sections 2.1 or 2.2 shall be taken + into account in determining the amount or value of any payment or + license. + + 8.4. In the event of termination under Sections 8.1 or 8.2 above, + all end user license agreements (excluding distributors and resellers) + which have been validly granted by You or any distributor hereunder + prior to termination shall survive termination. + +9. LIMITATION OF LIABILITY. + + UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, WHETHER TORT + (INCLUDING NEGLIGENCE), CONTRACT, OR OTHERWISE, SHALL YOU, THE INITIAL + DEVELOPER, ANY OTHER CONTRIBUTOR, OR ANY DISTRIBUTOR OF COVERED CODE, + OR ANY SUPPLIER OF ANY OF SUCH PARTIES, BE LIABLE TO ANY PERSON FOR + ANY INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES OF ANY + CHARACTER INCLUDING, WITHOUT LIMITATION, DAMAGES FOR LOSS OF GOODWILL, + WORK STOPPAGE, COMPUTER FAILURE OR MALFUNCTION, OR ANY AND ALL OTHER + COMMERCIAL DAMAGES OR LOSSES, EVEN IF SUCH PARTY SHALL HAVE BEEN + INFORMED OF THE POSSIBILITY OF SUCH DAMAGES. THIS LIMITATION OF + LIABILITY SHALL NOT APPLY TO LIABILITY FOR DEATH OR PERSONAL INJURY + RESULTING FROM SUCH PARTY'S NEGLIGENCE TO THE EXTENT APPLICABLE LAW + PROHIBITS SUCH LIMITATION. SOME JURISDICTIONS DO NOT ALLOW THE + EXCLUSION OR LIMITATION OF INCIDENTAL OR CONSEQUENTIAL DAMAGES, SO + THIS EXCLUSION AND LIMITATION MAY NOT APPLY TO YOU. + +10. U.S. GOVERNMENT END USERS. + + The Covered Code is a "commercial item," as that term is defined in + 48 C.F.R. 2.101 (Oct. 1995), consisting of "commercial computer + software" and "commercial computer software documentation," as such + terms are used in 48 C.F.R. 12.212 (Sept. 1995). Consistent with 48 + C.F.R. 12.212 and 48 C.F.R. 227.7202-1 through 227.7202-4 (June 1995), + all U.S. Government End Users acquire Covered Code with only those + rights set forth herein. + +11. MISCELLANEOUS. + + This License represents the complete agreement concerning subject + matter hereof. If any provision of this License is held to be + unenforceable, such provision shall be reformed only to the extent + necessary to make it enforceable. This License shall be governed by + California law provisions (except to the extent applicable law, if + any, provides otherwise), excluding its conflict-of-law provisions. + With respect to disputes in which at least one party is a citizen of, + or an entity chartered or registered to do business in the United + States of America, any litigation relating to this License shall be + subject to the jurisdiction of the Federal Courts of the Northern + District of California, with venue lying in Santa Clara County, + California, with the losing party responsible for costs, including + without limitation, court costs and reasonable attorneys' fees and + expenses. The application of the United Nations Convention on + Contracts for the International Sale of Goods is expressly excluded. + Any law or regulation which provides that the language of a contract + shall be construed against the drafter shall not apply to this + License. + +12. RESPONSIBILITY FOR CLAIMS. + + As between Initial Developer and the Contributors, each party is + responsible for claims and damages arising, directly or indirectly, + out of its utilization of rights under this License and You agree to + work with Initial Developer and Contributors to distribute such + responsibility on an equitable basis. Nothing herein is intended or + shall be deemed to constitute any admission of liability. + +13. MULTIPLE-LICENSED CODE. + + Initial Developer may designate portions of the Covered Code as + "Multiple-Licensed". "Multiple-Licensed" means that the Initial + Developer permits you to utilize portions of the Covered Code under + Your choice of the NPL or the alternative licenses, if any, specified + by the Initial Developer in the file described in Exhibit A. + +EXHIBIT A -Mozilla Public License. + + ``The contents of this file are subject to the Mozilla Public License + Version 1.1 (the "License"); you may not use this file except in + compliance with the License. You may obtain a copy of the License at + http://www.mozilla.org/MPL/ + + Software distributed under the License is distributed on an "AS IS" + basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See the + License for the specific language governing rights and limitations + under the License. + + The Original Code is ______________________________________. + + The Initial Developer of the Original Code is ________________________. + Portions created by ______________________ are Copyright (C) ______ + _______________________. All Rights Reserved. + + Contributor(s): ______________________________________. + + Alternatively, the contents of this file may be used under the terms + of the _____ license (the "[___] License"), in which case the + provisions of [______] License are applicable instead of those + above. If you wish to allow use of your version of this file only + under the terms of the [____] License and not to allow others to use + your version of this file under the MPL, indicate your decision by + deleting the provisions above and replace them with the notice and + other provisions required by the [___] License. If you do not delete + the provisions above, a recipient may use your version of this file + under either the MPL or the [___] License." + + [NOTE: The text of this Exhibit A may differ slightly from the text of + the notices in the Source Code files of the Original Code. You should + use the text of this Exhibit A rather than the text found in the + Original Code Source Code for Your Modifications.] + diff --git a/lib/psimpl/README.txt b/lib/psimpl/README.txt new file mode 100644 index 0000000..398ebb4 --- /dev/null +++ b/lib/psimpl/README.txt @@ -0,0 +1,97 @@ +psimpl - generic n-dimensional polyline simplification +Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com +-------------------------------------------------------------------------------- +28-09-2010 - Initial version +23-10-2010 - Changed license from CPOL to MPL +26-10-2010 - Clarified input (type) requirements, and changed the + behavior of the algorithms under invalid input. +01-12-2010 - Added the nth point, perpendicular distance and Reumann-Witkam + routines; moved all functions related to distance calculations to + the math namespace +10-12-2010 - Fixed a bug in the perpendicular distance routine +27-02-2011 - Added Opheim simplification, and functions for computing positional + errors due to simplification; renamed simplify_douglas_peucker_alt + to simplify_douglas_peucker_n +18-06-2011 Added Lang simplification; fixed divide by zero bug when using + integers; fixed a bug where incorrect output iterators were + returned under invalid input; fixed a bug in douglas_peucker_n + where an incorrect number of points could be returned; fixed a bug + in compute_positional_errors2 that required the output and input + iterator types to be the same; fixed a bug in + compute_positional_error_statistics where invalid statistics could + be returned under questionable input; documented input iterator + requirements for each algorithm; miscellaneous refactoring of most + algorithms. +-------------------------------------------------------------------------------- +'psimpl' is licensed under the Mozilla Public License Version 1.1 (MPL), see +the accompanying LICENSE.txt file. Alternatively a copy of this license may be +obtained from http://www.mozilla.org/MPL/. +-------------------------------------------------------------------------------- +'psimpl' is hosted at SourceForge: http://sourceforge.net/projects/psimpl/ and +has a dedicated website: http://psimpl.sf.net +Originally psimpl was released as part of the article 'Polyline Simplification' +at The Code Project: +http://www.codeproject.com/KB/recipes/PolylineSimplification.aspx + +================================================================================ + +'psimpl' is a c++ polyline simplification library that is generic, easy to use, +and supports the following algorithms: + +Simplification +* Nth point - A naive algorithm that keeps only each nth point +* Distance between points - Removes successive points that are clustered + together +* Perpendicular distance - Removes points based on their distance to the line + segment defined by their left and right neighbors +* Reumann-Witkam - Shifts a strip along the polyline and removes points that + fall outside +* Opheim - A constrained version of Reumann-Witkam +* Lang - Similar to the Perpendicular distance routine, but instead of looking + only at direct neighbors, an entire search region is processed +* Douglas-Peucker - A classic simplification algorithm that provides an + excellent approximation of the original line +* A variation on the Douglas-Peucker algorithm - Slower, but yields better + results at lower resolutions + +Errors +* positional error - Distance of each polyline point to its simplification + +All the algorithms have been implemented in a single standalone C++ header +using an STL-style interface that operates on input and output iterators. +Polylines can be of any dimension, and defined using floating point or signed +integer data types. + +================================================================================ + +The demo package contains a win32 demo application for 'psimpl'. The demo +application allows you to experiment with the different simplification +algorithms. It can generate pseudo random 2D-polylines of up to 10.000.000 +vertices in various types of containers. The boundingbox of the generated +polyline is always 2n x n, where n is the amount of vertices of the generated +polyline. Use this fact to specify a proper distance tolerance. + +Internally, the generated and simplified polyline are always stored in a +QVector. Just before simplification, it is converted to the selected +container type. Afterwards, this temporary container is destructed. Normally you +won't notice this, but it seems that creating and destructing a +std::list(10.000.000) can take a rather long time. The resulting performance +measurements never include these conversion steps. I chose this approach as it +allowed me to quickly add new container types. + +Note that the entire application is single threaded (sorry for being lazy), +meaning it could go 'not responding' during a long running simplification. + +The demo application was made using Qt 4.7.3, Qt Creator 2.1.0 and Visual Studio +2008 Express. Complete source code is included. + +================================================================================ + +If you decide to use my code for your (commercial) project, let me know! I would +love to hear where my code ends up and why you chose to use it! If possible, a +voluntary donation to my PayPal account (edekoning@gmail.com) would be much +appreciated. + +Regards, +Elmar de Koning +edekoning@gmail.com diff --git a/lib/psimpl/demo/DPWorker.cpp b/lib/psimpl/demo/DPWorker.cpp new file mode 100644 index 0000000..e080ed8 --- /dev/null +++ b/lib/psimpl/demo/DPWorker.cpp @@ -0,0 +1,782 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +#include "DPWorker.h" +#include "psimpl_reference.h" +#include "../lib/psimpl.h" +#include +#include + +namespace psimpl { + + DPWorker::DPWorker (QObject* inParent) : + QObject (inParent) + { + // note: disable this line during testing + srand ((unsigned)QTime::currentTime ().msec ()); + } + + void DPWorker::Generate (int inCount) { + emit SignalGeneratingPolyline (); + + QTime t; + t.start (); + + mGeneratedCoords.resize (inCount*2); + mSimplifiedCoords.clear (); + + qreal miny = inCount; + qreal maxy = -inCount; + + const qreal PI = std::atan (1.0) * 4; + qreal step = 2 * PI / inCount; + + int a = 1 + (rand () % 2); // [1, 3] + int b = 2 + (rand () % 3); // [2, 5] + int c = 3 + (rand () % 7); // [3, 10] + + // generate a random line + for (int i=0; i (begin, end, n, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + // done + emit SignalCleaningConvertedPolyline (); + delete [] generatedPoints; + break; + } + case QVECTOR_DOUBLE: + { + // simplify + emit SignalSimplifyingPolyline (); + QVector ::const_iterator begin = mGeneratedCoords.constBegin (); + QVector ::const_iterator end = mGeneratedCoords.constEnd (); + t.start (); + simplify_nth_point <2> (begin, end, n, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + break; + } + case VECTOR_DOUBLE: + { + // convert + emit SignalConvertingPolyline (); + std::vector generatedPoints = mGeneratedCoords.toStdVector (); + // simplify + emit SignalSimplifyingPolyline (); + std::vector ::const_iterator begin = generatedPoints.begin (); + std::vector ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_nth_point <2> (begin, end, n, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + case LIST_LONGLONG: + { + // convert + emit SignalConvertingPolyline (); + std::list generatedPoints; + foreach (double coord, mGeneratedCoords) { + generatedPoints.push_back (coord); + } + // simplify + emit SignalSimplifyingPolyline (); + std::list ::const_iterator begin = generatedPoints.begin (); + std::list ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_nth_point <2> (begin, end, n, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + default: + break; + } + DoSignalSimplifiedPolyline (duration); + } + + void DPWorker::SimplifyRD (Container cont, QString tol) { + QTime t; + int duration = 0; + + mSimplifiedCoords.clear (); + + switch (cont) { + case ARRAY_FLOAT: + { + // convert + emit SignalConvertingPolyline (); + float* generatedPoints = new float [mGeneratedCoords.size ()]; + for (int c=0; c (begin, end, tol.toFloat(), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + // done + emit SignalCleaningConvertedPolyline (); + delete [] generatedPoints; + break; + } + case QVECTOR_DOUBLE: + { + // simplify + emit SignalSimplifyingPolyline (); + QVector ::const_iterator begin = mGeneratedCoords.constBegin (); + QVector ::const_iterator end = mGeneratedCoords.constEnd (); + t.start (); + simplify_radial_distance <2> (begin, end, tol.toDouble (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + break; + } + case VECTOR_DOUBLE: + { + // convert + emit SignalConvertingPolyline (); + std::vector generatedPoints = mGeneratedCoords.toStdVector (); + // simplify + emit SignalSimplifyingPolyline (); + std::vector ::const_iterator begin = generatedPoints.begin (); + std::vector ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_radial_distance <2> (begin, end, tol.toDouble (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + case LIST_LONGLONG: + { + // convert + emit SignalConvertingPolyline (); + std::list generatedPoints; + foreach (double coord, mGeneratedCoords) { + generatedPoints.push_back (coord); + } + // simplify + emit SignalSimplifyingPolyline (); + std::list ::const_iterator begin = generatedPoints.begin (); + std::list ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_radial_distance <2> (begin, end, tol.toLongLong (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + default: + break; + } + DoSignalSimplifiedPolyline (duration); + } + + void DPWorker::SimplifyPD (Container cont, QString tol, int repeat) { + QTime t; + int duration = 0; + + mSimplifiedCoords.clear (); + + switch (cont) { + case ARRAY_FLOAT: + { + // convert + emit SignalConvertingPolyline (); + float* generatedPoints = new float [mGeneratedCoords.size ()]; + for (int c=0; c (begin, end, tol.toFloat(), repeat, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + // done + emit SignalCleaningConvertedPolyline (); + delete [] generatedPoints; + break; + } + case QVECTOR_DOUBLE: + { + // simplify + emit SignalSimplifyingPolyline (); + QVector ::const_iterator begin = mGeneratedCoords.constBegin (); + QVector ::const_iterator end = mGeneratedCoords.constEnd (); + t.start (); + simplify_perpendicular_distance <2> (begin, end, tol.toDouble (), repeat, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + break; + } + case VECTOR_DOUBLE: + { + // convert + emit SignalConvertingPolyline (); + std::vector generatedPoints = mGeneratedCoords.toStdVector (); + // simplify + emit SignalSimplifyingPolyline (); + std::vector ::const_iterator begin = generatedPoints.begin (); + std::vector ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_perpendicular_distance <2> (begin, end, tol.toDouble (), repeat, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + case LIST_LONGLONG: + { + // convert + emit SignalConvertingPolyline (); + std::list generatedPoints; + foreach (double coord, mGeneratedCoords) { + generatedPoints.push_back (coord); + } + // simplify + emit SignalSimplifyingPolyline (); + std::list ::const_iterator begin = generatedPoints.begin (); + std::list ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_perpendicular_distance <2> (begin, end, tol.toLongLong (), repeat, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + default: + break; + } + DoSignalSimplifiedPolyline (duration); + } + + void DPWorker::SimplifyRW (Container cont, QString tol) + { + QTime t; + int duration = 0; + + mSimplifiedCoords.clear (); + + switch (cont) { + case ARRAY_FLOAT: + { + // convert + emit SignalConvertingPolyline (); + float* generatedPoints = new float [mGeneratedCoords.size ()]; + for (int c=0; c (begin, end, tol.toFloat(), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + // done + emit SignalCleaningConvertedPolyline (); + delete [] generatedPoints; + break; + } + case QVECTOR_DOUBLE: + { + // simplify + emit SignalSimplifyingPolyline (); + QVector ::const_iterator begin = mGeneratedCoords.constBegin (); + QVector ::const_iterator end = mGeneratedCoords.constEnd (); + t.start (); + simplify_reumann_witkam <2> (begin, end, tol.toDouble (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + break; + } + case VECTOR_DOUBLE: + { + // convert + emit SignalConvertingPolyline (); + std::vector generatedPoints = mGeneratedCoords.toStdVector (); + // simplify + emit SignalSimplifyingPolyline (); + std::vector ::const_iterator begin = generatedPoints.begin (); + std::vector ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_reumann_witkam <2> (begin, end, tol.toDouble (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + case LIST_LONGLONG: + { + // convert + emit SignalConvertingPolyline (); + std::list generatedPoints; + foreach (double coord, mGeneratedCoords) { + generatedPoints.push_back (coord); + } + // simplify + emit SignalSimplifyingPolyline (); + std::list ::const_iterator begin = generatedPoints.begin (); + std::list ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_reumann_witkam <2> (begin, end, tol.toLongLong (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + default: + break; + } + DoSignalSimplifiedPolyline (duration); + } + + void DPWorker::SimplifyOp (Container cont, QString minTol, QString maxTol) { + QTime t; + int duration = 0; + + mSimplifiedCoords.clear (); + + switch (cont) { + case ARRAY_FLOAT: + { + // convert + emit SignalConvertingPolyline (); + float* generatedPoints = new float [mGeneratedCoords.size ()]; + for (int c=0; c (begin, end, minTol.toFloat(), maxTol.toFloat(), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + // done + emit SignalCleaningConvertedPolyline (); + delete [] generatedPoints; + break; + } + case QVECTOR_DOUBLE: + { + // simplify + emit SignalSimplifyingPolyline (); + QVector ::const_iterator begin = mGeneratedCoords.constBegin (); + QVector ::const_iterator end = mGeneratedCoords.constEnd (); + t.start (); + simplify_opheim <2> (begin, end, minTol.toDouble(), maxTol.toDouble(), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + break; + } + case VECTOR_DOUBLE: + { + // convert + emit SignalConvertingPolyline (); + std::vector generatedPoints = mGeneratedCoords.toStdVector (); + // simplify + emit SignalSimplifyingPolyline (); + std::vector ::const_iterator begin = generatedPoints.begin (); + std::vector ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_opheim <2> (begin, end, minTol.toDouble(), maxTol.toDouble(), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + case LIST_LONGLONG: + { + // convert + emit SignalConvertingPolyline (); + std::list generatedPoints; + foreach (double coord, mGeneratedCoords) { + generatedPoints.push_back (coord); + } + // simplify + emit SignalSimplifyingPolyline (); + std::list ::const_iterator begin = generatedPoints.begin (); + std::list ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_opheim <2> (begin, end, minTol.toLongLong(), maxTol.toLongLong(), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + default: + break; + } + DoSignalSimplifiedPolyline (duration); + } + + void DPWorker::SimplifyLa (Container cont, QString tol, int size) { + QTime t; + int duration = 0; + + mSimplifiedCoords.clear (); + + switch (cont) { + case ARRAY_FLOAT: + { + // convert + emit SignalConvertingPolyline (); + float* generatedPoints = new float [mGeneratedCoords.size ()]; + for (int c=0; c (begin, end, tol.toFloat(), size, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + // done + emit SignalCleaningConvertedPolyline (); + delete [] generatedPoints; + break; + } + case QVECTOR_DOUBLE: + { + // simplify + emit SignalSimplifyingPolyline (); + QVector ::const_iterator begin = mGeneratedCoords.constBegin (); + QVector ::const_iterator end = mGeneratedCoords.constEnd (); + t.start (); + simplify_lang <2> (begin, end, tol.toDouble(), size, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + break; + } + case VECTOR_DOUBLE: + { + // convert + emit SignalConvertingPolyline (); + std::vector generatedPoints = mGeneratedCoords.toStdVector (); + // simplify + emit SignalSimplifyingPolyline (); + std::vector ::const_iterator begin = generatedPoints.begin (); + std::vector ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_lang <2> (begin, end, tol.toDouble(), size, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + case LIST_LONGLONG: + { + // convert + emit SignalConvertingPolyline (); + std::list generatedPoints; + foreach (double coord, mGeneratedCoords) { + generatedPoints.push_back (coord); + } + // simplify + emit SignalSimplifyingPolyline (); + std::list ::const_iterator begin = generatedPoints.begin (); + std::list ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_lang <2> (begin, end, tol.toLongLong(), size, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + default: + break; + } + DoSignalSimplifiedPolyline (duration); + } + + void DPWorker::SimplifyDP (Container cont, QString tol) { + QTime t; + int duration = 0; + + mSimplifiedCoords.clear (); + + switch (cont) { + case ARRAY_FLOAT: + { + // convert + emit SignalConvertingPolyline (); + float* generatedPoints = new float [mGeneratedCoords.size ()]; + for (int c=0; c (begin, end, tol.toFloat(), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + // done + emit SignalCleaningConvertedPolyline (); + delete [] generatedPoints; + break; + } + case QVECTOR_DOUBLE: + { + // simplify + emit SignalSimplifyingPolyline (); + QVector ::const_iterator begin = mGeneratedCoords.constBegin (); + QVector ::const_iterator end = mGeneratedCoords.constEnd (); + t.start (); + simplify_douglas_peucker <2> (begin, end, tol.toDouble (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + break; + } + case VECTOR_DOUBLE: + { + // convert + emit SignalConvertingPolyline (); + std::vector generatedPoints = mGeneratedCoords.toStdVector (); + // simplify + emit SignalSimplifyingPolyline (); + std::vector ::const_iterator begin = generatedPoints.begin (); + std::vector ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_douglas_peucker <2> (begin, end, tol.toDouble (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + case LIST_LONGLONG: + { + // convert + emit SignalConvertingPolyline (); + std::list generatedPoints; + foreach (double coord, mGeneratedCoords) { + generatedPoints.push_back (coord); + } + // simplify + emit SignalSimplifyingPolyline (); + std::list ::const_iterator begin = generatedPoints.begin (); + std::list ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_douglas_peucker <2> (begin, end, tol.toLongLong (), + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + default: + break; + } + DoSignalSimplifiedPolyline (duration); + } + + void DPWorker::SimplifyDP_variant (Container cont, int count) { + QTime t; + int duration = 0; + + mSimplifiedCoords.clear (); + + switch (cont) { + case ARRAY_FLOAT: + { + // convert + emit SignalConvertingPolyline (); + float* generatedPoints = new float [mGeneratedCoords.size ()]; + for (int c=0; c (begin, end, count, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + // done + emit SignalCleaningConvertedPolyline (); + delete [] generatedPoints; + break; + } + case QVECTOR_DOUBLE: + { + // simplify + emit SignalSimplifyingPolyline (); + QVector ::const_iterator begin = mGeneratedCoords.constBegin (); + QVector ::const_iterator end = mGeneratedCoords.constEnd (); + t.start (); + simplify_douglas_peucker_n <2> (begin, end, count, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + break; + } + case VECTOR_DOUBLE: + { + // convert + emit SignalConvertingPolyline (); + std::vector generatedPoints = mGeneratedCoords.toStdVector (); + // simplify + emit SignalSimplifyingPolyline (); + std::vector ::const_iterator begin = generatedPoints.begin (); + std::vector ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_douglas_peucker_n <2> (begin, end, count, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + case LIST_LONGLONG: + { + // convert + emit SignalConvertingPolyline (); + std::list generatedPoints; + foreach (double coord, mGeneratedCoords) { + generatedPoints.push_back (coord); + } + // simplify + emit SignalSimplifyingPolyline (); + std::list ::const_iterator begin = generatedPoints.begin (); + std::list ::const_iterator end = generatedPoints.end (); + t.start (); + simplify_douglas_peucker_n <2> (begin, end, count, + std::back_inserter (mSimplifiedCoords)); + duration = t.elapsed (); + emit SignalCleaningConvertedPolyline (); + break; + } + default: + break; + } + DoSignalSimplifiedPolyline (duration); + } + + void DPWorker::SimplifyDP_reference (QString tol) { + mSimplifiedCoords.clear(); + // convert generated polyline to Point array + emit SignalConvertingPolyline (); + int pointCount = mGeneratedCoords.size () / 2; + classic::Point* generatedPoints = new classic::Point [pointCount]; + classic::Point* simplifiedPoints = new classic::Point [pointCount]; + for (int i=0; i ( + mGeneratedCoords.constBegin (), mGeneratedCoords.constEnd (), + mSimplifiedCoords.constBegin (), mSimplifiedCoords.constEnd (), &validStatistics); + + if (validStatistics) { + emit SignalSimplifiedPolyline (duration, mSimplifiedCoords, stats.max, stats.sum, stats.mean, stats.std); + } + else { + emit SignalSimplifiedPolyline (duration, mSimplifiedCoords); + } + } +} // namespace psimpl diff --git a/lib/psimpl/demo/DPWorker.h b/lib/psimpl/demo/DPWorker.h new file mode 100644 index 0000000..914e881 --- /dev/null +++ b/lib/psimpl/demo/DPWorker.h @@ -0,0 +1,101 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +#ifndef DPWORKER_H +#define DPWORKER_H + + +#include +#include + + +namespace psimpl { + typedef enum CONTAINER + { + ARRAY_FLOAT, + QVECTOR_DOUBLE, + VECTOR_DOUBLE, + LIST_LONGLONG, + } Container; + + /*! + \brief Worker class for generating and simplifying polylines. + + Polylines are always generated in a QVector container. Before simplification the + polyline is converted to the specified container type. This allows for easy adding of new + container types. + + */ + class DPWorker : public QObject + { + Q_OBJECT + + public: + DPWorker (QObject* inParent = 0); + + void Generate (int inCount); + void SimplifyNP (Container cont, int n); + void SimplifyRD (Container cont, QString tol); + void SimplifyPD (Container cont, QString tol, int repeat); + void SimplifyRW (Container cont, QString tol); + void SimplifyOp (Container cont, QString minTol, QString maxTol); + void SimplifyLa (Container cont, QString tol, int size); + void SimplifyDP (Container cont, QString tol); + void SimplifyDP_variant (Container cont, int count); + void SimplifyDP_reference (QString tol); + + int GetGeneratedPointCount () { return mGeneratedCoords.size () / 2; } + int GetSimplifiedGeneratedPointCount () { return mSimplifiedCoords.size () / 2; } + + private: + void DoSignalSimplifiedPolyline (qreal duration); + + signals: + void SignalGeneratingPolyline (); + void SignalConvertingPolyline (); + void SignalSimplifyingPolyline (); + void SignalCleaningConvertedPolyline (); + + void SignalGeneratedPolyline (int duration, QVector & polyline); + void SignalSimplifiedPolyline (int duration, QVector & polyline); + void SignalSimplifiedPolyline (int duration, QVector & polyline, double max, double sum, double mean, double std); + + private: + QVector mGeneratedCoords; + QVector mSimplifiedCoords; + }; + +} // namespace psimpl + + +#endif // DPWORKER_H diff --git a/lib/psimpl/demo/MainWindow.cpp b/lib/psimpl/demo/MainWindow.cpp new file mode 100644 index 0000000..1df1981 --- /dev/null +++ b/lib/psimpl/demo/MainWindow.cpp @@ -0,0 +1,256 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +#include "MainWindow.h" +#include "ui_MainWindow.h" +#include "DPWorker.h" +#include +#include + + +namespace psimpl { + + MainWindow::MainWindow (QWidget *parent) : + QMainWindow (parent), + ui (new Ui::MainWindow) + { + mWorker = new DPWorker (this); + + ui->setupUi (this); + ui->polyTypeComboBox->setCurrentIndex(VECTOR_DOUBLE); + +#ifndef _DEBUG + ui->algorithmComboBox->removeItem (DOUGLAS_PEUCKER_REFERENCE); +#endif + connect (mWorker, SIGNAL (SignalGeneratingPolyline ()), + this, SLOT (SlotGeneratingPolyline ())); + connect (mWorker, SIGNAL (SignalConvertingPolyline ()), + this, SLOT (SlotConvertingPolyline ())); + connect (mWorker, SIGNAL (SignalSimplifyingPolyline ()), + this, SLOT (SlotSimplifyingPolyline ())); + connect (mWorker, SIGNAL (SignalCleaningConvertedPolyline ()), + this, SLOT (SlotCleaningConvertedPolyline ())); + + connect (mWorker, SIGNAL (SignalGeneratedPolyline (int, QVector &)), + this, SLOT (SlotGeneratedPolyline (int, QVector &))); + connect (mWorker, SIGNAL (SignalSimplifiedPolyline (int, QVector &)), + this, SLOT (SlotSimplifiedPolyline (int, QVector &))); + connect (mWorker, SIGNAL (SignalSimplifiedPolyline (int, QVector &, double, double, double, double)), + this, SLOT (SlotSimplifiedPolyline (int, QVector &, double, double, double, double))); + } + + MainWindow::~MainWindow () + { + delete ui; + delete mWorker; + } + + void MainWindow::changeEvent (QEvent *e) + { + QMainWindow::changeEvent (e); + + switch (e->type ()) { + case QEvent::LanguageChange: + ui->retranslateUi (this); + break; + + default: + break; + } + } + + void MainWindow::EnableButtons () + { + ui->generatePushButton->setEnabled (true); + ui->simplifyPushButton->setEnabled (true); + ui->togglePushButton->setEnabled( + ui->generatedPolylineCheckBox->isChecked () != + ui->simplifiedPolylineCheckBox->isChecked ()); + } + + void MainWindow::DisableButtons () + { + ui->generatePushButton->setDisabled (true); + ui->simplifyPushButton->setDisabled (true); + ui->togglePushButton->setDisabled (true); + } + + void MainWindow::on_generatePushButton_clicked () + { + QApplication::setOverrideCursor (QCursor (Qt::WaitCursor)); + DisableButtons (); + mWorker->Generate (ui->polyPointCountSpinBox->value ()); + } + + void MainWindow::on_simplifyPushButton_clicked () + { + QApplication::setOverrideCursor (QCursor (Qt::WaitCursor)); + DisableButtons (); + + switch (ui->algorithmComboBox->currentIndex ()) + { + case NTH_POINT: + mWorker->SimplifyNP ((Container)ui->polyTypeComboBox->currentIndex (), ui->npSpinBox->value ()); + break; + + case RADIAL_DISTANCE: + mWorker->SimplifyRD ((Container)ui->polyTypeComboBox->currentIndex (), ui->rdLineEdit->text ()); + break; + + case PERPENDICULAR_DISTANCE: + mWorker->SimplifyPD ((Container)ui->polyTypeComboBox->currentIndex (), ui->pdLineEdit->text (), ui->pdSpinBox->value ()); + break; + + case REUMANN_WITKAM: + mWorker->SimplifyRW ((Container)ui->polyTypeComboBox->currentIndex (), ui->rwLineEdit->text ()); + break; + + case OPHEIM: + mWorker->SimplifyOp ((Container)ui->polyTypeComboBox->currentIndex (), ui->minOpLineEdit->text (), ui->maxOpLineEdit->text ()); + break; + + case LANG: + mWorker->SimplifyLa ((Container)ui->polyTypeComboBox->currentIndex (), ui->laLineEdit->text (), ui->lookAheadLaSpinBox->value ()); + break; + + case DOUGLAS_PEUCKER: + mWorker->SimplifyDP ((Container)ui->polyTypeComboBox->currentIndex (), ui->dpLineEdit->text ()); + break; + + case DOUGLAS_PEUCKER_VARIANT: + mWorker->SimplifyDP_variant ((Container)ui->polyTypeComboBox->currentIndex (), ui->dpvSpinBox->value ()); + break; + + case DOUGLAS_PEUCKER_REFERENCE: + mWorker->SimplifyDP_reference (ui->dprLineEdit->text ()); + break; + } + } + + void MainWindow::on_algorithmComboBox_currentIndexChanged (int index) + { + if (index == DOUGLAS_PEUCKER_REFERENCE) { + ui->polyTypeComboBox->setCurrentIndex (ARRAY_FLOAT); + ui->polyTypeComboBox->setDisabled (true); + } + else { + ui->polyTypeComboBox->setEnabled (true); + } + } + + void MainWindow::on_generatedPolylineCheckBox_toggled (bool checked) + { + ui->renderArea->SetVisibleGeneratedPolyline (checked); + ui->togglePushButton->setDisabled( + ui->generatedPolylineCheckBox->isChecked () == + ui->simplifiedPolylineCheckBox->isChecked ()); + update(); + } + + void MainWindow::on_simplifiedPolylineCheckBox_toggled (bool checked) + { + ui->renderArea->SetVisibleSimplifiedPolyline (checked); + ui->togglePushButton->setDisabled( + ui->generatedPolylineCheckBox->isChecked () == + ui->simplifiedPolylineCheckBox->isChecked ()); + update(); + } + + void MainWindow::on_keepAspectRatioCheckBox_toggled (bool checked) + { + ui->renderArea->SetKeepAspectRatio (checked); + update(); + } + + void MainWindow::SlotGeneratingPolyline () { + ui->statusBar->showMessage ("Generating polyline..."); + } + + void MainWindow::SlotConvertingPolyline () { + ui->statusBar->showMessage (QString ("Converting polyline to '%1'...").arg (ui->polyTypeComboBox->currentText ())); + } + + void MainWindow::SlotSimplifyingPolyline () { + ui->statusBar->showMessage ("Simplifying polyline..."); + } + + void MainWindow::SlotCleaningConvertedPolyline () { + ui->statusBar->showMessage ("Deleting converted polyline..."); + } + + void MainWindow::SlotGeneratedPolyline (int duration, QVector & polyline) + { + ui->statusBar->showMessage (QString ("Generation took %1 ms").arg (duration)); + ui->renderArea->SetGeneratedPolyline (polyline); + ui->simplGroupBox->setEnabled (true); + EnableButtons (); + QApplication::restoreOverrideCursor (); + update(); + } + + void MainWindow::SlotSimplifiedPolyline (int duration, QVector & polyline) + { + int pointCount = polyline.count () / 2; + ui->maxValueLabel->setText ("-"); + ui->sumValueLabel->setText ("-"); + ui->meanValueLabel->setText ("-"); + ui->stdValueLabel->setText ("-"); + ui->statusBar->showMessage ( + QString ("Simplification took %1 ms; %2 (%3%) points remaining"). + arg (duration). + arg (pointCount). + arg (100.0 * pointCount / mWorker->GetGeneratedPointCount())); + ui->renderArea->SetSimplifiedPolyline(polyline); + EnableButtons (); + QApplication::restoreOverrideCursor (); + update(); + } + + void MainWindow::SlotSimplifiedPolyline (int duration, QVector & polyline, double max, double sum, double mean, double std) + { + int pointCount = polyline.count () / 2; + ui->maxValueLabel->setText (QString::number (max)); + ui->sumValueLabel->setText (QString::number (sum)); + ui->meanValueLabel->setText (QString::number (mean)); + ui->stdValueLabel->setText (QString::number (std)); + ui->statusBar->showMessage ( + QString ("Simplification took %1 ms; %2 (%3%) points remaining"). + arg (duration). + arg (pointCount). + arg (100.0 * pointCount / mWorker->GetGeneratedPointCount())); + ui->renderArea->SetSimplifiedPolyline(polyline); + EnableButtons (); + QApplication::restoreOverrideCursor (); + update(); + } +} // namespace psimpl diff --git a/lib/psimpl/demo/MainWindow.h b/lib/psimpl/demo/MainWindow.h new file mode 100644 index 0000000..296a9f3 --- /dev/null +++ b/lib/psimpl/demo/MainWindow.h @@ -0,0 +1,106 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +#ifndef MAINWINDOW_H +#define MAINWINDOW_H + + +#include + + +namespace Ui { + class MainWindow; +} + + +namespace psimpl { + + class DPWorker; + + typedef enum ALGORITHM + { + NTH_POINT, + RADIAL_DISTANCE, + PERPENDICULAR_DISTANCE, + REUMANN_WITKAM, + OPHEIM, + LANG, + DOUGLAS_PEUCKER, + DOUGLAS_PEUCKER_VARIANT, + DOUGLAS_PEUCKER_REFERENCE, + } Algorithm; + + /*! + \brief Mainwindow where polylines can be generated and simplified. + + Multiple simplification algorithms, implementations and container types can be experimented + with. + */ + class MainWindow : public QMainWindow { + Q_OBJECT + + public: + MainWindow (QWidget *parent = 0); + ~MainWindow (); + + protected: + void changeEvent (QEvent *e); + + private: + void EnableButtons (); + void DisableButtons (); + + private: + Ui::MainWindow *ui; + DPWorker* mWorker; + +private slots: + void on_simplifiedPolylineCheckBox_toggled(bool checked); + void on_generatedPolylineCheckBox_toggled(bool checked); + void on_keepAspectRatioCheckBox_toggled(bool checked); + void on_simplifyPushButton_clicked (); + void on_algorithmComboBox_currentIndexChanged(int index); + void on_generatePushButton_clicked (); + void SlotGeneratingPolyline (); + void SlotConvertingPolyline (); + void SlotSimplifyingPolyline (); + void SlotCleaningConvertedPolyline (); + void SlotGeneratedPolyline (int duration, QVector & polyline); + void SlotSimplifiedPolyline (int duration, QVector & polyline); + void SlotSimplifiedPolyline (int duration, QVector & polyline, double max, double sum, double mean, double std); +}; + +} // namespace psimpl + + +#endif // MAINWINDOW_H diff --git a/lib/psimpl/demo/MainWindow.ui b/lib/psimpl/demo/MainWindow.ui new file mode 100644 index 0000000..2692fef --- /dev/null +++ b/lib/psimpl/demo/MainWindow.ui @@ -0,0 +1,855 @@ + + + MainWindow + + + + 0 + 0 + 800 + 600 + + + + psimpl v7 - generic n-dimensional polyline simplification + + + + + + + + + + <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0//EN" "http://www.w3.org/TR/REC-html40/strict.dtd"> +<html><head><meta name="qrichtext" content="1" /><style type="text/css"> +p, li { white-space: pre-wrap; } +</style></head><body style=" font-family:'MS Shell Dlg 2'; font-size:8.25pt; font-weight:400; font-style:normal;"> +<p align="center" style=" margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px; -qt-block-indent:0; text-indent:0px;"><span style=" font-size:10pt; font-weight:600;">psimple v7</span><span style=" font-size:8pt;"> </span><span style=" font-size:8pt; color:#000000;">© Copyright 2010 - 2011 </span><a href="edekoning@gmail.com"><span style=" font-size:8pt; text-decoration: underline; color:#0000ff;">Elmar de Koning</span></a><span style=" font-size:8pt;">; License - </span><a href="http://www.opensource.org/licenses/mozilla1.1.php"><span style=" font-size:8pt; text-decoration: underline; color:#0000ff;">MPL 1.1</span></a><span style=" font-size:8pt;">; Website - </span><a href="http://psimpl.sf.net"><span style=" font-size:8pt; text-decoration: underline; color:#0000ff;">psimpl.sf.net</span></a><span style=" font-size:8pt;">; Article - </span><a href="http://www.codeproject.com/KB/recipes/PolylineSimplification.aspx"><span style=" font-size:8pt; text-decoration: underline; color:#0000ff;">CodeProject</span></a></p></body></html> + + + true + + + Qt::LinksAccessibleByKeyboard|Qt::LinksAccessibleByMouse + + + + + + + + 0 + 3 + + + + QFrame::StyledPanel + + + QFrame::Sunken + + + + + + + + + + 0 + 0 + + + + Polyline + + + + + + Type + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + float [] + + + + + QVector <double> + + + + + std::vector <double> + + + + + std::list <long long> + + + + + + + + + 0 + 0 + + + + Generate + + + + + + + Point count + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + 2 + + + 10000000 + + + 10000 + + + 100000 + + + + + + + Qt::Vertical + + + + 20 + 20 + + + + + + + + + + + true + + + + 0 + 0 + + + + Simplification + + + + + + + Nth point + + + + + Radial distance + + + + + Perpendicular distance + + + + + Reumann-Witkam + + + + + Opheim + + + + + Lang + + + + + Douglas-Peucker + + + + + Douglas-Peucker (variant) + + + + + Douglas-Peucker (reference) + + + + + + + + Algorithm + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + false + + + Simplify + + + + + + + 0 + + + + + 0 + + + + + 10000000 + + + + + + + + + 0 + + + + + 0 + + + + + + + + + 0 + + + + + 0 + + + + + + + 1000000 + + + 1 + + + + + + + + + 0 + + + + + + + + 0 + + + + + + + + + 0 + + + + + 0 + + + + + + + 0 + + + + + + + + + 0 + + + + + 0 + + + + + + + 10000000 + + + 1 + + + + + + + + + 0 + + + + + 0 + + + + + + + + + 0 + + + + + 0 + + + 10000000 + + + 10 + + + 0 + + + + + + + + + 0 + + + + + 0 + + + + + + + + + + + 0 + + + + + 0 + + + + + n + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + + 0 + + + + + Radial distance + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + + 0 + + + + + Perpendicular distance + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + Repeat count + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + + 0 + + + + + Perpendicular distance + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + + 0 + + + + + Minimum distance + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + Maximum distance + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + + 0 + + + + + Perpendicular distance + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + Look ahead + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + + 0 + + + + + Perpendicular distance + + + Qt::AlignCenter + + + + + + + + + 0 + + + + + Point count + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + + 0 + + + + + Perpendicular distance + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + + + + + + + + Graphics + + + + + + Generated Polyline + + + true + + + + + + + Simplified Polyline + + + false + + + + + + + Toggle + + + + + + + Keep aspect ratio + + + true + + + + + + + + + + Positional errors are only calculated for doubles! + + + Positional error + + + + + + Sum + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + Max + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + Mean + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + Std + + + Qt::AlignRight|Qt::AlignTrailing|Qt::AlignVCenter + + + + + + + - + + + + + + + - + + + + + + + - + + + + + + + - + + + + + + + + + + Qt::Horizontal + + + + 40 + 20 + + + + + + + + + + + + ? + + + About psimpl + + + F1 + + + + + + + psimpl::RenderArea + QFrame +
RenderArea.h
+ 1 + + + + polyPointCountSpinBox + polyTypeComboBox + generatePushButton + algorithmComboBox + npSpinBox + rdLineEdit + pdLineEdit + pdSpinBox + rwLineEdit + dpLineEdit + dpvSpinBox + dprLineEdit + simplifyPushButton + generatedPolylineCheckBox + simplifiedPolylineCheckBox + + + + + togglePushButton + clicked() + generatedPolylineCheckBox + toggle() + + + 674 + 559 + + + 674 + 504 + + + + + togglePushButton + clicked() + simplifiedPolylineCheckBox + toggle() + + + 674 + 559 + + + 674 + 529 + + + + + algorithmComboBox + currentIndexChanged(int) + labelStackedWidget + setCurrentIndex(int) + + + 256 + 503 + + + 210 + 519 + + + + + algorithmComboBox + currentIndexChanged(int) + editStackedWidget + setCurrentIndex(int) + + + 281 + 490 + + + 279 + 512 + + + + + diff --git a/lib/psimpl/demo/QTRules.rules b/lib/psimpl/demo/QTRules.rules new file mode 100644 index 0000000..9881b7b --- /dev/null +++ b/lib/psimpl/demo/QTRules.rules @@ -0,0 +1,41 @@ + + + + + + + + + + + + + + + + + diff --git a/lib/psimpl/demo/RenderArea.cpp b/lib/psimpl/demo/RenderArea.cpp new file mode 100644 index 0000000..28d89cc --- /dev/null +++ b/lib/psimpl/demo/RenderArea.cpp @@ -0,0 +1,123 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +#include "RenderArea.h" +#include + + +namespace psimpl { + + RenderArea::RenderArea (QWidget *inParent, Qt::WindowFlags inFlags) : + QFrame (inParent, inFlags), + mDrawGeneratedPolyline (true), + mDrawSimplifiedPolyline (false), + mKeepAspectRatio (true) + { + } + + void RenderArea::paintEvent(QPaintEvent * /*inEvent*/) { + if (!mGeneratedPolyline.elementCount ()) + return; + + QRectF rect = mGeneratedPolyline.boundingRect (); + if (!rect.isValid ()) + return; + + QPainter painter (this); + + if (mKeepAspectRatio) { + qreal scale = qMin ((width () - 1) / rect.width (), (height () - 1) / rect.height ()); + painter.translate ((width () - (rect.width () * scale)) / 2.0, + (height () - (rect.height () * scale)) / 2.0); + painter.scale (scale, scale); + painter.translate (-rect.left (), -rect.top ()); + } + else { + painter.scale ((width () - 1) / rect.width (), (height () - 1) / rect.height ()); + painter.translate (-rect.left (), -rect.top ()); + } + + if (mDrawGeneratedPolyline) { + painter.setPen (Qt::darkBlue); + painter.drawPath (mGeneratedPolyline); + } + + if (!mSimplifiedPolyline.elementCount ()) + return; + + if (mDrawSimplifiedPolyline) { + painter.setPen (Qt::darkRed); + painter.drawPath (mSimplifiedPolyline); + } + } + + QPainterPath RenderArea::Convert (QVector & polyline) + { + // limit paths to max 100.000 points to speed up drawing + const int threshold = 100000; + + QPainterPath path; + if (polyline.empty ()) { + return path; + } + int pointCount = polyline.size () / 2; + qreal skipStep = (qreal) (pointCount - threshold) / (qreal) threshold; + qreal skipValue = skipStep; + + path.moveTo(polyline [0], polyline [1]); + for (int i=1; i 1.0) { + skipValue -= 1.0; + } + else { + path.lineTo (polyline [i*2], polyline [i*2+1]); + skipValue += skipStep; + } + } + int elemCount = path.elementCount (); + elemCount++; + return path; + } + + void RenderArea::SetGeneratedPolyline (QVector & polyline) + { + mSimplifiedPolyline = QPainterPath (); + mGeneratedPolyline = Convert (polyline); + } + + void RenderArea::SetSimplifiedPolyline (QVector & polyline) + { + mSimplifiedPolyline = Convert (polyline); + } + +} // namespace psimpl diff --git a/lib/psimpl/demo/RenderArea.h b/lib/psimpl/demo/RenderArea.h new file mode 100644 index 0000000..d198cd1 --- /dev/null +++ b/lib/psimpl/demo/RenderArea.h @@ -0,0 +1,76 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +#ifndef RENDERAREA_H +#define RENDERAREA_H + + +#include +#include + + +namespace psimpl { + + /*! + \brief A frame that can draw polylines and their simplification. + + Note that the point count of each polyline is always limited to 100.000 to speed up drawing. + */ + class RenderArea : public QFrame + { + public: + RenderArea (QWidget *inParent = 0, Qt::WindowFlags inFlags = 0); + void SetGeneratedPolyline (QVector & polyline); + void SetSimplifiedPolyline (QVector & polyline); + void SetVisibleGeneratedPolyline (bool visible) { mDrawGeneratedPolyline = visible; } + void SetVisibleSimplifiedPolyline (bool visible) { mDrawSimplifiedPolyline = visible; } + void SetKeepAspectRatio (bool keep) { mKeepAspectRatio = keep; } + + protected: + void paintEvent (QPaintEvent *inEvent); + + private: + QPainterPath Convert (QVector & polyline); + + private: + QPainterPath mGeneratedPolyline; + QPainterPath mSimplifiedPolyline; + bool mDrawGeneratedPolyline; + bool mDrawSimplifiedPolyline; + bool mKeepAspectRatio; + }; + +} // namespace psimpl + + +#endif // RENDERAREA_H diff --git a/lib/psimpl/demo/main.cpp b/lib/psimpl/demo/main.cpp new file mode 100644 index 0000000..292d0be --- /dev/null +++ b/lib/psimpl/demo/main.cpp @@ -0,0 +1,43 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +#include +#include "MainWindow.h" + +int main (int argc, char *argv []) +{ + QApplication a (argc, argv); + psimpl::MainWindow w; + w.show (); + return a.exec (); +} diff --git a/lib/psimpl/demo/psimpl.pro b/lib/psimpl/demo/psimpl.pro new file mode 100644 index 0000000..aadb665 --- /dev/null +++ b/lib/psimpl/demo/psimpl.pro @@ -0,0 +1,22 @@ +# ------------------------------------------------- +# Project created by QtCreator 2010-06-05T12:09:26 +# ------------------------------------------------- +TARGET = psimpl-demo +TEMPLATE = app +VERSION = 7 +SOURCES += main.cpp \ + MainWindow.cpp \ + DPWorker.cpp \ + RenderArea.cpp +HEADERS += MainWindow.h \ + DPWorker.h \ + RenderArea.h \ + psimpl_reference.h \ + psimpl.h \ + ../lib/psimpl.h +FORMS += MainWindow.ui +OTHER_FILES += \ + resource.rc \ + ../README.txt \ + ../LICENSE.txt +RC_FILE = resource.rc diff --git a/lib/psimpl/demo/psimpl.vcproj b/lib/psimpl/demo/psimpl.vcproj new file mode 100644 index 0000000..ccdca26 --- /dev/null +++ b/lib/psimpl/demo/psimpl.vcproj @@ -0,0 +1,304 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/lib/psimpl/demo/psimpl_reference.h b/lib/psimpl/demo/psimpl_reference.h new file mode 100644 index 0000000..ac17471 --- /dev/null +++ b/lib/psimpl/demo/psimpl_reference.h @@ -0,0 +1,238 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +#ifndef PSIMPL_CLASSIC_H +#define PSIMPL_CLASSIC_H + +#include + +namespace psimpl { + namespace classic { + // Contains a minimal modified version of the Douglas-Peucker recursive simplification + // routine as available from www.softsurfer.com. Modifications include: + // - Removed recursion by using a stack + // - Added minimal Point, Vector, and Segment classes as needed by the algorithm + + + // minimal point class + class Point { + public: + Point () : + x (0.f), + y (0.f) + {} + + Point (float x, float y) : + x (x), + y (y) + {} + + float x, y; + }; + + // reuse the point class for a vector + typedef Point Vector; + + // operators as needed by the algorithm + Point operator+ (const Point& P, const Vector& V) { + return Point (P.x+V.x, P.y+V.y); + } + + Vector operator- (const Point& P0, const Point& P1) { + return Vector (P0.x-P1.x, P0.y-P1.y); + } + + Vector operator* (double s, const Vector& V) { + return Vector (s*V.x, s*V.y); + } + + // minimal segment class + class Segment { + public: + Segment (const Point& P0, const Point& P1) : + P0(P0), + P1(P1) + {} + + Point P0; + Point P1; + }; + + // define the stack and sub poly that are used to replace the original recusion + typedef std::pair< int, int > SubPoly; + typedef std::stack< SubPoly > Stack; + + + // Copyright 2002, softSurfer (www.softsurfer.com) + // This code may be freely used and modified for any purpose + // providing that this copyright notice is included with it. + // SoftSurfer makes no warranty for this code, and cannot be held + // liable for any real or imagined damage resulting from its use. + // Users of this code must verify correctness for their application. + + // Assume that classes are already given for the objects: + // Point and Vector with + // coordinates {float x, y, z;} // as many as are needed + // operators for: + // == to test equality + // != to test inequality + // (Vector)0 = (0,0,0) (null vector) + // Point = Point ± Vector + // Vector = Point - Point + // Vector = Vector ± Vector + // Vector = Scalar * Vector (scalar product) + // Vector = Vector * Vector (cross product) + // Segment with defining endpoints {Point P0, P1;} + //=================================================================== + + // dot product (3D) which allows vector operations in arguments + #define __dot(u,v) ((u).x * (v).x + (u).y * (v).y) + #define __norm2(v) __dot(v,v) // norm2 = squared length of vector + #define __norm(v) sqrt(__norm2(v)) // norm = length of vector + #define __d2(u,v) __norm2(u-v) // distance squared = norm2 of difference + #define __d(u,v) __norm(u-v) // distance = norm of difference + + // simplifyDP(): + // This is the Douglas-Peucker recursive simplification routine + // It just marks vertices that are part of the simplified polyline + // for approximating the polyline subchain v[j] to v[k]. + // Input: tol = approximation tolerance + // v[] = polyline array of vertex points + // j,k = indices for the subchain v[j] to v[k] + // Output: mk[] = array of markers matching vertex array v[] + void + simplifyDP( Stack& stack, float tol, Point* v, int j, int k, int* mk ) + { + if (k <= j+1) // there is nothing to simplify + return; + + // check for adequate approximation by segment S from v[j] to v[k] + int maxi = j; // index of vertex farthest from S + float maxd2 = 0; // distance squared of farthest vertex + float tol2 = tol * tol; // tolerance squared + Segment S (v[j], v[k]); // segment from v[j] to v[k] + Vector u = S.P1 - S.P0; // segment direction vector + double cu = __dot(u,u); // segment length squared + + // test each vertex v[i] for max distance from S + // compute using the Feb 2001 Algorithm's dist_Point_to_Segment() + // Note: this works in any dimension (2D, 3D, ...) + Vector w; + Point Pb; // base of perpendicular from v[i] to S + double b, cw, dv2; // dv2 = distance v[i] to S squared + + for (int i=j+1; i tol2) // error is worse than the tolerance + { + // split the polyline at the farthest vertex from S + mk[maxi] = 1; // mark v[maxi] for the simplified polyline + // recursively simplify the two subpolylines at v[maxi] + stack.push( std::make_pair (j, maxi)); + stack.push( std::make_pair (maxi, k)); + } + // else the approximation is OK, so ignore intermediate vertices + return; + } + + // poly_simplify(): + // Input: tol = approximation tolerance + // V[] = polyline array of vertex points + // n = the number of points in V[] + // Output: sV[]= simplified polyline vertices (max is n) + // Return: m = the number of points in sV[] + int + poly_simplify(float tol, Point* V, int n, Point* sV ) + { + int i, k, m, pv; // misc counters + float tol2 = tol * tol; // tolerance squared + Point* vt = new Point[n]; // vertex buffer + int* mk = new int[n]; // marker buffer + for (i=0; i +# else +# include +# endif + +VS_VERSION_INFO VERSIONINFO + FILEVERSION 7,0,0,0 + PRODUCTVERSION 7,0,0,0 + FILEFLAGSMASK 0x3fL +#ifdef _DEBUG + FILEFLAGS VS_FF_DEBUG +#else + FILEFLAGS 0x0L +#endif + FILEOS VOS__WINDOWS32 + FILETYPE VFT_DLL + FILESUBTYPE 0x0L + BEGIN + BLOCK "StringFileInfo" + BEGIN + BLOCK "040904B0" + BEGIN + VALUE "CompanyName", "Elmar de Koning\0" + VALUE "FileDescription", "psimpl demo application\0" + VALUE "FileVersion", "7.0.0.0\0" + VALUE "LegalCopyright", "Copyright (C) 2010-2011 Elmar de Koning\0" + VALUE "OriginalFilename", "psimpl-demo.exe\0" + VALUE "ProductName", "psimpl - generic n-dimensional polyline simplification\0" + END + END + END +/* End of Version info */ + diff --git a/lib/psimpl/psimpl.h b/lib/psimpl/psimpl.h new file mode 100644 index 0000000..f1c0d08 --- /dev/null +++ b/lib/psimpl/psimpl.h @@ -0,0 +1,1890 @@ +/* ***** BEGIN LICENSE BLOCK ***** + * Version: MPL 1.1 + * + * The contents of this file are subject to the Mozilla Public License Version + * 1.1 (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * Software distributed under the License is distributed on an "AS IS" basis, + * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License + * for the specific language governing rights and limitations under the + * License. + * + * The Original Code is + * 'psimpl - generic n-dimensional polyline simplification'. + * + * The Initial Developer of the Original Code is + * Elmar de Koning. + * Portions created by the Initial Developer are Copyright (C) 2010-2011 + * the Initial Developer. All Rights Reserved. + * + * Contributor(s): + * + * ***** END LICENSE BLOCK ***** */ + +/* + psimpl - generic n-dimensional polyline simplification + Copyright (C) 2010-2011 Elmar de Koning, edekoning@gmail.com + + This file is part of psimpl, and is hosted at SourceForge: + http://sourceforge.net/projects/psimpl/ +*/ + +/*! + \mainpage psimpl - generic n-dimensional polyline simplification + +
+    Author  - Elmar de Koning
+    Support - edekoning@gmail.com
+    Website - http://psimpl.sf.net
+    Article - http://www.codeproject.com/KB/recipes/PolylineSimplification.aspx
+    License - MPL 1.1
+

+ + \section sec_psimpl psimpl +
+    'psimpl' is a c++ polyline simplification library that is generic, easy to use, and supports
+    the following algorithms:
+
+    Simplification
+    + Nth point - A naive algorithm that keeps only each nth point
+    + Distance between points - Removes successive points that are clustered together
+    + Perpendicular distance - Removes points based on their distance to the line segment defined
+      by their left and right neighbors
+    + Reumann-Witkam - Shifts a strip along the polyline and removes points that fall outside
+    + Opheim - A constrained version of Reumann-Witkam
+    + Lang - Similar to the Perpendicular distance routine, but instead of looking only at direct
+      neighbors, an entire search region is processed
+    + Douglas-Peucker - A classic simplification algorithm that provides an excellent approximation
+      of the original line
+    + A variation on the Douglas-Peucker algorithm - Slower, but yields better results at lower resolutions
+
+    Errors
+    + positional error - Distance of each polyline point to its simplification
+
+    All the algorithms have been implemented in a single standalone C++ header using an STL-style
+    interface that operates on input and output iterators. Polylines can be of any dimension, and
+    defined using floating point or signed integer data types.
+

+ + \section sec_changelog changelog +
+    28-09-2010 - Initial version
+    23-10-2010 - Changed license from CPOL to MPL
+    26-10-2010 - Clarified input (type) requirements, and changed the behavior of the algorithms
+                 under invalid input
+    01-12-2010 - Added the nth point, perpendicular distance and Reumann-Witkam routines; moved all
+                 functions related to distance calculations to the math namespace
+    10-12-2010 - Fixed a bug in the perpendicular distance routine
+    27-02-2011 - Added Opheim simplification, and functions for computing positional errors due to
+                 simplification; renamed simplify_douglas_peucker_alt to simplify_douglas_peucker_n
+    18-06-2011 - Added Lang simplification; fixed divide by zero bug when using integers; fixed a
+                 bug where incorrect output iterators were returned under invalid input; fixed a bug
+                 in douglas_peucker_n where an incorrect number of points could be returned; fixed a
+                 bug in compute_positional_errors2 that required the output and input iterator types
+                 to be the same; fixed a bug in compute_positional_error_statistics where invalid
+                 statistics could be returned under questionable input; documented input iterator
+                 requirements for each algorithm; miscellaneous refactoring of most algorithms.
+
+*/ + +#ifndef PSIMPL_GENERIC +#define PSIMPL_GENERIC + + +#include +#include +#include +#include +#include + + +/*! + \brief Root namespace of the polyline simplification library. +*/ +namespace psimpl +{ + /*! + \brief Contains utility functions and classes. + */ + namespace util + { + /*! + \brief A smart pointer for holding a dynamically allocated array. + + Similar to boost::scoped_array. + */ + template + class scoped_array + { + public: + scoped_array (unsigned n) { + array = new T [n]; + } + + ~scoped_array () { + delete [] array; + } + + T& operator [] (int offset) { + return array [offset]; + } + + const T& operator [] (int offset) const { + return array [offset]; + } + + T* get () const { + return array; + } + + void swap (scoped_array& b) { + T* tmp = b.array; + b.array = array; + array = tmp; + } + + private: + scoped_array (const scoped_array&); + scoped_array& operator= (const scoped_array&); + + private: + T* array; + }; + + template inline void swap (scoped_array & a, scoped_array & b) { + a.swap (b); + } + } + + /*! + \brief Contains functions for calculating statistics and distances between various geometric entities. + */ + namespace math + { + /*! + \brief POD structure for storing several statistical values + */ + struct Statistics + { + Statistics () : + max (0), + sum (0), + mean (0), + std (0) + {} + + double max; + double sum; + double mean; + double std; //! standard deviation + }; + + /*! + \brief Determines if two points have the exact same coordinates. + + \param[in] p1 the first coordinate of the first point + \param[in] p2 the first coordinate of the second point + \return true when the points are equal; false otherwise + */ + template + inline bool equal ( + InputIterator p1, + InputIterator p2) + { + for (unsigned d = 0; d < DIM; ++d) { + if (*p1 != *p2) { + return false; + } + ++p1; + ++p2; + } + return true; + } + + /*! + \brief Creates a vector from two points. + + \param[in] p1 the first coordinate of the first point + \param[in] p2 the first coordinate of the second point + \param[in] result the resulting vector (p2-p1) + \return one beyond the last coordinate of the resulting vector + */ + template + inline OutputIterator make_vector ( + InputIterator p1, + InputIterator p2, + OutputIterator result) + { + for (unsigned d = 0; d < DIM; ++d) { + *result = *p2 - *p1; + ++result; + ++p1; + ++p2; + } + return result; + } + + /*! + \brief Computes the dot product of two vectors. + + \param[in] v1 the first coordinate of the first vector + \param[in] v2 the first coordinate of the second vector + \return the dot product (v1 * v2) + */ + template + inline typename std::iterator_traits ::value_type dot ( + InputIterator v1, + InputIterator v2) + { + typename std::iterator_traits ::value_type result = 0; + for (unsigned d = 0; d < DIM; ++d) { + result += (*v1) * (*v2); + ++v1; + ++v2; + } + return result; + } + + /*! + \brief Peforms linear interpolation between two points. + + \param[in] p1 the first coordinate of the first point + \param[in] p2 the first coordinate of the second point + \param[in] fraction the fraction used during interpolation + \param[in] result the interpolation result (p1 + fraction * (p2 - p1)) + \return one beyond the last coordinate of the interpolated point + */ + template + inline OutputIterator interpolate ( + InputIterator p1, + InputIterator p2, + float fraction, + OutputIterator result) + { + typedef typename std::iterator_traits ::value_type value_type; + + for (unsigned d = 0; d < DIM; ++d) { + *result = *p1 + static_cast (fraction * (*p2 - *p1)); + ++result; + ++p1; + ++p2; + } + return result; + } + + /*! + \brief Computes the squared distance of two points + + \param[in] p1 the first coordinate of the first point + \param[in] p2 the first coordinate of the second point + \return the squared distance + */ + template + inline typename std::iterator_traits ::value_type point_distance2 ( + InputIterator1 p1, + InputIterator2 p2) + { + typename std::iterator_traits ::value_type result = 0; + for (unsigned d = 0; d < DIM; ++d) { + result += (*p1 - *p2) * (*p1 - *p2); + ++p1; + ++p2; + } + return result; + } + + /*! + \brief Computes the squared distance between an infinite line (l1, l2) and a point p + + \param[in] l1 the first coordinate of the first point on the line + \param[in] l2 the first coordinate of the second point on the line + \param[in] p the first coordinate of the test point + \return the squared distance + */ + template + inline typename std::iterator_traits ::value_type line_distance2 ( + InputIterator l1, + InputIterator l2, + InputIterator p) + { + typedef typename std::iterator_traits ::value_type value_type; + + value_type v [DIM]; // vector l1 --> l2 + value_type w [DIM]; // vector l1 --> p + + make_vector (l1, l2, v); + make_vector (l1, p, w); + + value_type cv = dot (v, v); // squared length of v + value_type cw = dot (w, v); // project w onto v + + // avoid problems with divisions when value_type is an integer type + float fraction = cv == 0 ? 0 : static_cast (cw) / static_cast (cv); + + value_type proj [DIM]; // p projected onto line (l1, l2) + interpolate (l1, l2, fraction, proj); + + return point_distance2 (p, proj); + } + + /*! + \brief Computes the squared distance between a line segment (s1, s2) and a point p + + \param[in] s1 the first coordinate of the start point of the segment + \param[in] s2 the first coordinate of the end point of the segment + \param[in] p the first coordinate of the test point + \return the squared distance + */ + template + inline typename std::iterator_traits ::value_type segment_distance2 ( + InputIterator s1, + InputIterator s2, + InputIterator p) + { + typedef typename std::iterator_traits ::value_type value_type; + + value_type v [DIM]; // vector s1 --> s2 + value_type w [DIM]; // vector s1 --> p + + make_vector (s1, s2, v); + make_vector (s1, p, w); + + value_type cw = dot (w, v); // project w onto v + if (cw <= 0) { + // projection of w lies to the left of s1 + return point_distance2 (p, s1); + } + + value_type cv = dot (v, v); // squared length of v + if (cv <= cw) { + // projection of w lies to the right of s2 + return point_distance2 (p, s2); + } + + // avoid problems with divisions when value_type is an integer type + float fraction = cv == 0 ? 0 : static_cast (cw) / static_cast (cv); + + value_type proj [DIM]; // p projected onto segement (s1, s2) + interpolate (s1, s2, fraction, proj); + + return point_distance2 (p, proj); + } + + /*! + \brief Computes the squared distance between a ray (r1, r2) and a point p + + \param[in] r1 the first coordinate of the start point of the ray + \param[in] r2 the first coordinate of a point on the ray + \param[in] p the first coordinate of the test point + \return the squared distance + */ + template + inline typename std::iterator_traits ::value_type ray_distance2 ( + InputIterator r1, + InputIterator r2, + InputIterator p) + { + typedef typename std::iterator_traits ::value_type value_type; + + value_type v [DIM]; // vector r1 --> r2 + value_type w [DIM]; // vector r1 --> p + + make_vector (r1, r2, v); + make_vector (r1, p, w); + + value_type cv = dot (v, v); // squared length of v + value_type cw = dot (w, v); // project w onto v + + if (cw <= 0) { + // projection of w lies to the left of r1 (not on the ray) + return point_distance2 (p, r1); + } + + // avoid problems with divisions when value_type is an integer type + float fraction = cv == 0 ? 0 : static_cast (cw) / static_cast (cv); + + value_type proj [DIM]; // p projected onto ray (r1, r2) + interpolate (r1, r2, fraction, proj); + + return point_distance2 (p, proj); + } + + /*! + \brief Computes various statistics for the range [first, last) + + \param[in] first the first value + \param[in] last one beyond the last value + \return the calculated statistics + */ + template + inline Statistics compute_statistics ( + InputIterator first, + InputIterator last) + { + typedef typename std::iterator_traits ::value_type value_type; + typedef typename std::iterator_traits ::difference_type diff_type; + + Statistics stats; + + diff_type count = std::distance (first, last); + if (count == 0) { + return stats; + } + + value_type init = 0; + stats.max = static_cast (*std::max_element (first, last)); + stats.sum = static_cast (std::accumulate (first, last, init)); + stats.mean = stats.sum / count; + std::transform (first, last, first, std::bind2nd (std::minus (), stats.mean)); + stats.std = std::sqrt (static_cast (std::inner_product (first, last, first, init)) / count); + return stats; + } + } + + /*! + \brief Provides various simplification algorithms for n-dimensional simple polylines. + + A polyline is simple when it is non-closed and non-selfintersecting. All algorithms + operate on input iterators and output iterators. Note that unisgned integer types are + NOT supported. + */ + template + class PolylineSimplification + { + typedef typename std::iterator_traits ::difference_type diff_type; + typedef typename std::iterator_traits ::value_type value_type; + typedef typename std::iterator_traits ::difference_type ptr_diff_type; + + public: + /*! + \brief Performs the nth point routine (NP). + + NP is an O(n) algorithm for polyline simplification. It keeps only the first, last and + each nth point. As an example, consider any random line of 8 points. Using n = 3 will + always yield a simplification consisting of points: 1, 4, 7, 8 + + \image html psimpl_np.png + + NP is applied to the range [first, last). The resulting simplified polyline is copied + to the output range [result, result + m*DIM), where m is the number of vertices of the + simplified polyline. The return value is the end of the output range: result + m*DIM. + + Input (Type) requirements: + 1- DIM is not 0, where DIM represents the dimension of the polyline + 2- The InputIterator type models the concept of a forward iterator + 3- The input iterator value type is convertible to a value type of the OutputIterator + 4- The range [first, last) contains only vertex coordinates in multiples of DIM, f.e.: + x, y, z, x, y, z, x, y, z when DIM = 3 + 5- The range [first, last) contains at least 2 vertices + 6- n is not 0 + + In case these requirements are not met, the entire input range [first, last) is copied + to the output range [result, result + (last - first)) OR compile errors may occur. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] n specifies 'each nth point' + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + OutputIterator NthPoint ( + InputIterator first, + InputIterator last, + unsigned n, + OutputIterator result) + { + diff_type coordCount = std::distance (first, last); + diff_type pointCount = DIM // protect against zero DIM + ? coordCount / DIM + : 0; + + // validate input and check if simplification required + if (coordCount % DIM || pointCount < 3 || n < 2) { + return std::copy (first, last, result); + } + + unsigned remaining = pointCount - 1; // the number of points remaining after key + InputIterator key = first; // indicates the current key + + // the first point is always part of the simplification + CopyKey (key, result); + + // copy each nth point + while (Forward (key, n, remaining)) { + CopyKey (key, result); + } + + return result; + } + + /*! + \brief Performs the (radial) distance between points routine (RD). + + RD is a brute-force O(n) algorithm for polyline simplification. It reduces successive + vertices that are clustered too closely to a single vertex, called a key. The resulting + keys form the simplified polyline. + + \image html psimpl_rd.png + + RD is applied to the range [first, last) using the specified tolerance tol. The + resulting simplified polyline is copied to the output range [result, result + m*DIM), + where m is the number of vertices of the simplified polyline. The return value is the + end of the output range: result + m*DIM. + + Input (Type) requirements: + 1- DIM is not 0, where DIM represents the dimension of the polyline + 2- The InputIterator type models the concept of a forward iterator + 3- The input iterator value type is convertible to a value type of the output iterator + 4- The range [first, last) contains only vertex coordinates in multiples of DIM, f.e.: + x, y, z, x, y, z, x, y, z when DIM = 3 + 5- The range [first, last) contains at least 2 vertices + 6- tol is not 0 + + In case these requirements are not met, the entire input range [first, last) is copied + to the output range [result, result + (last - first)) OR compile errors may occur. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol radial (point-to-point) distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + OutputIterator RadialDistance ( + InputIterator first, + InputIterator last, + value_type tol, + OutputIterator result) + { + diff_type coordCount = std::distance (first, last); + diff_type pointCount = DIM // protect against zero DIM + ? coordCount / DIM + : 0; + value_type tol2 = tol * tol; // squared distance tolerance + + // validate input and check if simplification required + if (coordCount % DIM || pointCount < 3 || tol2 == 0) { + return std::copy (first, last, result); + } + + InputIterator current = first; // indicates the current key + InputIterator next = first; // used to find the next key + + // the first point is always part of the simplification + CopyKeyAdvance (next, result); + + // Skip first and last point, because they are always part of the simplification + for (diff_type index = 1; index < pointCount - 1; ++index) { + if (math::point_distance2 (current, next) < tol2) { + Advance (next); + continue; + } + current = next; + CopyKeyAdvance (next, result); + } + // the last point is always part of the simplification + CopyKeyAdvance (next, result); + + return result; + } + + /*! + \brief Repeatedly performs the perpendicular distance routine (PD). + + The algorithm stops after calling the PD routine 'repeat' times OR when the + simplification does not improve. Note that this algorithm will need to store + up to two intermediate simplification results. + + \sa PerpendicularDistance(InputIterator, InputIterator, value_type, OutputIterator) + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (segment-to-point) distance tolerance + \param[in] repeat the number of times to successively apply the PD routine + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + OutputIterator PerpendicularDistance ( + InputIterator first, + InputIterator last, + value_type tol, + unsigned repeat, + OutputIterator result) + { + if (repeat == 1) { + // single pass + return PerpendicularDistance (first, last, tol, result); + } + // only validate repeat; other input is validated by simplify_perpendicular_distance + if (repeat < 1) { + return std::copy (first, last, result); + } + diff_type coordCount = std::distance (first, last); + + // first pass: [first, last) --> temporary array 'tempPoly' + util::scoped_array tempPoly (coordCount); + PolylineSimplification psimpl_to_array; + diff_type tempCoordCount = std::distance (tempPoly.get (), + psimpl_to_array.PerpendicularDistance (first, last, tol, tempPoly.get ())); + + // check if simplification did not improved + if (coordCount == tempCoordCount) { + return std::copy (tempPoly.get (), tempPoly.get () + coordCount, result); + } + std::swap (coordCount, tempCoordCount); + --repeat; + + // intermediate passes: temporary array 'tempPoly' --> temporary array 'tempResult' + if (1 < repeat) { + util::scoped_array tempResult (coordCount); + PolylineSimplification psimpl_arrays; + + while (--repeat) { + tempCoordCount = std::distance (tempResult.get (), + psimpl_arrays.PerpendicularDistance ( + tempPoly.get (), tempPoly.get () + coordCount, tol, tempResult.get ())); + + // check if simplification did not improved + if (coordCount == tempCoordCount) { + return std::copy (tempPoly.get (), tempPoly.get () + coordCount, result); + } + util::swap (tempPoly, tempResult); + std::swap (coordCount, tempCoordCount); + } + } + + // final pass: temporary array 'tempPoly' --> result + PolylineSimplification psimpl_from_array; + return psimpl_from_array.PerpendicularDistance ( + tempPoly.get (), tempPoly.get () + coordCount, tol, result); + } + + /*! + \brief Performs the perpendicular distance routine (PD). + + PD is an O(n) algorithm for polyline simplification. It computes the perpendicular + distance of each point pi to the line segment S(pi-1, pi+1). Only when this distance is + larger than the given tolerance will pi be part of the simpification. Note that the + original polyline can only be reduced by a maximum of 50%. Multiple passes are required + to achieve higher points reductions. + + \image html psimpl_pd.png + + PD is applied to the range [first, last) using the specified tolerance tol. The + resulting simplified polyline is copied to the output range [result, result + m*DIM), + where m is the number of vertices of the simplified polyline. The return value is the + end of the output range: result + m*DIM. + + Input (Type) requirements: + 1- DIM is not 0, where DIM represents the dimension of the polyline + 2- The InputIterator type models the concept of a forward iterator + 3- The input iterator value type is convertible to a value type of the output iterator + 4- The range [first, last) contains only vertex coordinates in multiples of DIM, f.e.: + x, y, z, x, y, z, x, y, z when DIM = 3 + 5- The range [first, last) contains at least 2 vertices + 6- tol is not 0 + + In case these requirements are not met, the entire input range [first, last) is copied + to the output range [result, result + (last - first)) OR compile errors may occur. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (segment-to-point) distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + OutputIterator PerpendicularDistance ( + InputIterator first, + InputIterator last, + value_type tol, + OutputIterator result) + { + diff_type coordCount = std::distance (first, last); + diff_type pointCount = DIM // protect against zero DIM + ? coordCount / DIM + : 0; + value_type tol2 = tol * tol; // squared distance tolerance + + // validate input and check if simplification required + if (coordCount % DIM || pointCount < 3 || tol2 == 0) { + return std::copy (first, last, result); + } + + InputIterator p0 = first; + InputIterator p1 = AdvanceCopy(p0); + InputIterator p2 = AdvanceCopy(p1); + + // the first point is always part of the simplification + CopyKey (p0, result); + + while (p2 != last) { + // test p1 against line segment S(p0, p2) + if (math::segment_distance2 (p0, p2, p1) < tol2) { + CopyKey (p2, result); + // move up by two points + p0 = p2; + Advance (p1, 2); + if (p1 == last) { + // protect against advancing p2 beyond last + break; + } + Advance (p2, 2); + } + else { + CopyKey (p1, result); + // move up by one point + p0 = p1; + p1 = p2; + Advance (p2); + } + } + // make sure the last point is part of the simplification + if (p1 != last) { + CopyKey (p1, result); + } + return result; + } + + /*! + \brief Performs Reumann-Witkam approximation (RW). + + The O(n) RW routine uses a point-to-line (perpendicular) distance tolerance. It defines + a line through the first two vertices of the original polyline. For each successive + vertex vi its perpendicular distance to this line is calculated. A new key is found at + vi-1, when this distance exceeds the specified tolerance. The vertices vi and vi+1 are + then used to define a new line, and the process repeats itself. + + \image html psimpl_rw.png + + RW routine is applied to the range [first, last) using the specified perpendicular + distance tolerance tol. The resulting simplified polyline is copied to the output range + [result, result + m*DIM), where m is the number of vertices of the simplified polyline. + The return value is the end of the output range: result + m*DIM. + + Input (Type) Requirements: + 1- DIM is not 0, where DIM represents the dimension of the polyline + 2- The InputIterator type models the concept of a forward iterator + 3- The input iterator value type is convertible to a value type of the output iterator + 4- The range [first, last) contains vertex coordinates in multiples of DIM, + f.e.: x, y, z, x, y, z, x, y, z when DIM = 3 + 5- The range [first, last) contains at least 2 vertices + 6- tol is not 0 + + In case these requirements are not met, the entire input range [first, last) is copied + to the output range [result, result + (last - first)) OR compile errors may occur. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (point-to-line) distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + OutputIterator ReumannWitkam ( + InputIterator first, + InputIterator last, + value_type tol, + OutputIterator result) + { + diff_type coordCount = std::distance (first, last); + diff_type pointCount = DIM // protect against zero DIM + ? coordCount / DIM + : 0; + value_type tol2 = tol * tol; // squared distance tolerance + + // validate input and check if simplification required + if (coordCount % DIM || pointCount < 3 || tol2 == 0) { + return std::copy (first, last, result); + } + + // define the line L(p0, p1) + InputIterator p0 = first; // indicates the current key + InputIterator p1 = AdvanceCopy (first); // indicates the next point after p0 + + // keep track of two test points + InputIterator pi = p1; // the previous test point + InputIterator pj = p1; // the current test point (pi+1) + + // the first point is always part of the simplification + CopyKey (p0, result); + + // check each point pj against L(p0, p1) + for (diff_type j = 2; j < pointCount; ++j) { + pi = pj; + Advance (pj); + + if (math::line_distance2 (p0, p1, pj) < tol2) { + continue; + } + // found the next key at pi + CopyKey (pi, result); + // define new line L(pi, pj) + p0 = pi; + p1 = pj; + } + // the last point is always part of the simplification + CopyKey (pj, result); + + return result; + } + + /*! + \brief Performs Opheim approximation (OP). + + The O(n) OP routine is very similar to the Reumann-Witkam (RW) routine, and can be seen + as a constrained version of that RW routine. OP uses both a minimum and a maximum + distance tolerance to constrain the search area. For each successive vertex vi, its + radial distance to the current key vkey (initially v0) is calculated. The last point + within the minimum distance tolerance is used to define a ray R (vkey, vi). If no + such vi exists, the ray is defined as R(vkey, vkey+1). For each successive vertex vj + beyond vi its perpendicular distance to the ray R is calculated. A new key is found at + vj-1, when this distance exceeds the minimum tolerance Or when the radial distance + between vj and the vkey exceeds the maximum tolerance. After a new key is found, the + process repeats itself. + + \image html psimpl_op.png + + OP routine is applied to the range [first, last) using the specified distance tolerances + min_tol and max_tol. The resulting simplified polyline is copied to the output range + [result, result + m*DIM), where m is the number of vertices of the simplified polyline. + The return value is the end of the output range: result + m*DIM. + + Input (Type) Requirements: + 1- DIM is not 0, where DIM represents the dimension of the polyline + 2- The InputIterator type models the concept of a forward iterator + 3- The input iterator value type is convertible to a value type of the output iterator + 4- The range [first, last) contains vertex coordinates in multiples of DIM, + f.e.: x, y, z, x, y, z, x, y, z when DIM = 3 + 5- The range [first, last) contains at least 2 vertices + 6- min_tol is not 0 + 7- max_tol is not 0 + + In case these requirements are not met, the entire input range [first, last) is copied + to the output range [result, result + (last - first)) OR compile errors may occur. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] min_tol radial and perpendicular (point-to-ray) distance tolerance + \param[in] max_tol radial distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + OutputIterator Opheim ( + InputIterator first, + InputIterator last, + value_type min_tol, + value_type max_tol, + OutputIterator result) + { + diff_type coordCount = std::distance (first, last); + diff_type pointCount = DIM // protect against zero DIM + ? coordCount / DIM + : 0; + value_type min_tol2 = min_tol * min_tol; // squared minimum distance tolerance + value_type max_tol2 = max_tol * max_tol; // squared maximum distance tolerance + + // validate input and check if simplification required + if (coordCount % DIM || pointCount < 3 || min_tol2 == 0 || max_tol2 == 0) { + return std::copy (first, last, result); + } + + // define the ray R(r0, r1) + InputIterator r0 = first; // indicates the current key and start of the ray + InputIterator r1 = first; // indicates a point on the ray + bool rayDefined = false; + + // keep track of two test points + InputIterator pi = r0; // the previous test point + InputIterator pj = // the current test point (pi+1) + AdvanceCopy (pi); + + // the first point is always part of the simplification + CopyKey (r0, result); + + for (diff_type j = 2; j < pointCount; ++j) { + pi = pj; + Advance (pj); + + if (!rayDefined) { + // discard each point within minimum tolerance + if (math::point_distance2 (r0, pj) < min_tol2) { + continue; + } + // the last point within minimum tolerance pi defines the ray R(r0, r1) + r1 = pi; + rayDefined = true; + } + + // check each point pj against R(r0, r1) + if (math::point_distance2 (r0, pj) < max_tol2 && + math::ray_distance2 (r0, r1, pj) < min_tol2) + { + continue; + } + // found the next key at pi + CopyKey (pi, result); + // define new ray R(pi, pj) + r0 = pi; + rayDefined = false; + } + // the last point is always part of the simplification + CopyKey (pj, result); + + return result; + } + + /*! + \brief Performs Lang approximation (LA). + + The LA routine defines a fixed size search-region. The first and last points of that + search region form a segment. This segment is used to calculate the perpendicular + distance to each intermediate point. If any calculated distance is larger than the + specified tolerance, the search region will be shrunk by excluding its last point. This + process will continue untill all calculated distances fall below the specified tolerance + , or there are no more intermediate points. At this point all intermediate points are + removed and a new search region is defined starting at the last point from old search + region. + Note that the size of the search region (look_ahead parameter) controls the maximum + amount of simplification, e.g.: a size of 20 will always result in a simplification that + contains at least 5% of the original points. + + \image html psimpl_la.png + + LA routine is applied to the range [first, last) using the specified tolerance and + look ahead values. The resulting simplified polyline is copied to the output range + [result, result + m*DIM), where m is the number of vertices of the simplified polyline. + The return value is the end of the output range: result + m*DIM. + + Input (Type) Requirements: + 1- DIM is not 0, where DIM represents the dimension of the polyline + 2- The InputIterator type models the concept of a bidirectional iterator + 3- The InputIterator value type is convertible to a value type of the output iterator + 4- The range [first, last) contains vertex coordinates in multiples of DIM, + f.e.: x, y, z, x, y, z, x, y, z when DIM = 3 + 5- The range [first, last) contains at least 2 vertices + 6- tol is not 0 + 7- look_ahead is not zero + + In case these requirements are not met, the entire input range [first, last) is copied + to the output range [result, result + (last - first)) OR compile errors may occur. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (point-to-segment) distance tolerance + \param[in] look_ahead defines the size of the search region + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + OutputIterator Lang ( + InputIterator first, + InputIterator last, + value_type tol, + unsigned look_ahead, + OutputIterator result) + { + diff_type coordCount = std::distance (first, last); + diff_type pointCount = DIM // protect against zero DIM + ? coordCount / DIM + : 0; + value_type tol2 = tol * tol; // squared minimum distance tolerance + + // validate input and check if simplification required + if (coordCount % DIM || pointCount < 3 || look_ahead < 2 || tol2 == 0) { + return std::copy (first, last, result); + } + + InputIterator current = first; // indicates the current key + InputIterator next = first; // used to find the next key + + unsigned remaining = pointCount - 1; // the number of points remaining after current + unsigned moved = Forward (next, look_ahead, remaining); + + // the first point is always part of the simplification + CopyKey (current, result); + + while (moved) { + value_type d2 = 0; + InputIterator p = AdvanceCopy (current); + + while (p != next) { + d2 = std::max (d2, math::segment_distance2 (current, next, p)); + if (tol2 < d2) { + break; + } + Advance (p); + } + if (d2 < tol2) { + current = next; + CopyKey (current, result); + moved = Forward (next, look_ahead, remaining); + } + else { + Backward (next, remaining); + } + } + return result; + } + + /*! + \brief Performs Douglas-Peucker approximation (DP). + + The DP algorithm uses the RadialDistance (RD) routine O(n) as a preprocessing step. + After RD the algorithm is O (n m) in worst case and O(n log m) on average, where m < n + (m is the number of points after RD). + + The DP algorithm starts with a simplification that is the single edge joining the first + and last vertices of the polyline. The distance of the remaining vertices to that edge + are computed. The vertex that is furthest away from theedge (called a key), and has a + computed distance that is larger than a specified tolerance, will be added to the + simplification. This process will recurse for each edge in the current simplification, + untill all vertices of the original polyline are within tolerance. + + \image html psimpl_dp.png + + Note that this algorithm will create a copy of the input polyline during the vertex + reduction step. + + RD followed by DP is applied to the range [first, last) using the specified tolerance + tol. The resulting simplified polyline is copied to the output range + [result, result + m*DIM), where m is the number of vertices of the simplified polyline. + The return value is the end of the output range: result + m*DIM. + + Input (Type) requirements: + 1- DIM is not 0, where DIM represents the dimension of the polyline + 2- The InputIterator type models the concept of a forward iterator + 3- The InputIterator value type is convertible to a value type of the output iterator + 4- The range [first, last) contains vertex coordinates in multiples of DIM, f.e.: + x, y, z, x, y, z, x, y, z when DIM = 3 + 5- The range [first, last) contains at least 2 vertices + 6- tol is not 0 + + In case these requirements are not met, the entire input range [first, last) is copied + to the output range [result, result + (last - first)) OR compile errors may occur. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (point-to-segment) distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + OutputIterator DouglasPeucker ( + InputIterator first, + InputIterator last, + value_type tol, + OutputIterator result) + { + diff_type coordCount = std::distance (first, last); + diff_type pointCount = DIM // protect against zero DIM + ? coordCount / DIM + : 0; + // validate input and check if simplification required + if (coordCount % DIM || pointCount < 3 || tol == 0) { + return std::copy (first, last, result); + } + // radial distance routine as preprocessing + util::scoped_array reduced (coordCount); // radial distance results + PolylineSimplification psimpl_to_array; + ptr_diff_type reducedCoordCount = std::distance (reduced.get (), + psimpl_to_array.RadialDistance (first, last, tol, reduced.get ())); + ptr_diff_type reducedPointCount = reducedCoordCount / DIM; + + // douglas-peucker approximation + util::scoped_array keys (pointCount); // douglas-peucker results + DPHelper::Approximate (reduced.get (), reducedCoordCount, tol, keys.get ()); + + // copy all keys + const value_type* current = reduced.get (); + for (ptr_diff_type p=0; p (count) || count < 2) { + return std::copy (first, last, result); + } + + // copy coords + util::scoped_array coords (coordCount); + for (ptr_diff_type c=0; c keys (pointCount); + DPHelper::ApproximateN (coords.get (), coordCount, count, keys.get ()); + + // copy keys + const value_type* current = coords.get (); + for (ptr_diff_type p=0; p (original_first, simplified_first)) + { + if (valid) { + *valid = false; + } + return result; + } + + // define (simplified) line segment S(simplified_prev, simplified_first) + InputIterator simplified_prev = simplified_first; + std::advance (simplified_first, DIM); + + // process each simplified line segment + while (simplified_first != simplified_last) { + // process each original point until it equals the end of the line segment + while (original_first != original_last && + !math::equal (original_first, simplified_first)) + { + *result = math::segment_distance2 (simplified_prev, simplified_first, + original_first); + ++result; + std::advance (original_first, DIM); + } + // update line segment S + simplified_prev = simplified_first; + std::advance (simplified_first, DIM); + } + // check if last original point matched + if (original_first != original_last) { + *result = 0; + ++result; + } + + if (valid) { + *valid = original_first != original_last; + } + return result; + } + + /*! + \brief Computes statistics for the positional errors between a polyline and its simplification. + + Various statistics (mean, max, sum, std) are calculated for the positional errors + between the range [original_first, original_last) and its simplification the range + [simplified_first, simplified_last). + + Input (Type) requirements: + 1- DIM is not 0, where DIM represents the dimension of the polyline + 2- The InputIterator type models the concept of a forward iterator + 3- The InputIterator value type is convertible to double + 4- The ranges [original_first, original_last) and [simplified_first, simplified_last) + contain vertex coordinates in multiples of DIM, f.e.: x, y, z, x, y, z, x, y, z + when DIM = 3 + 5- The ranges [original_first, original_last) and [simplified_first, simplified_last) + contain a minimum of 2 vertices + 6- The range [simplified_first, simplified_last) represents a simplification of the + range [original_first, original_last), meaning each point in the simplification + has the exact same coordinates as some point from the original polyline + + In case these requirements are not met, the valid flag is set to false OR + compile errors may occur. + + \sa ComputePositionalErrors2 + + \param[in] original_first the first coordinate of the first polyline point + \param[in] original_last one beyond the last coordinate of the last polyline point + \param[in] simplified_first the first coordinate of the first simplified polyline point + \param[in] simplified_last one beyond the last coordinate of the last simplified polyline point + \param[out] valid [optional] indicates if the computed statistics are valid + \return the computed statistics + */ + math::Statistics ComputePositionalErrorStatistics ( + InputIterator original_first, + InputIterator original_last, + InputIterator simplified_first, + InputIterator simplified_last, + bool* valid=0) + { + diff_type pointCount = std::distance (original_first, original_last) / DIM; + util::scoped_array errors (pointCount); + PolylineSimplification ps; + + diff_type errorCount = + std::distance ( + errors.get (), + ps.ComputePositionalErrors2 (original_first, original_last, + simplified_first, simplified_last, + errors.get (), valid)); + + std::transform (errors.get (), errors.get () + errorCount, + errors.get (), + std::ptr_fun (std::sqrt)); + + return math::compute_statistics (errors.get (), errors.get () + errorCount); + } + + private: + /*! + \brief Copies the key to the output destination, and increments the iterator. + + \sa CopyKey + + \param[in,out] key the first coordinate of the key + \param[in,out] result destination of the copied key + */ + inline void CopyKeyAdvance ( + InputIterator& key, + OutputIterator& result) + { + for (unsigned d = 0; d < DIM; ++d) { + *result = *key; + ++result; + ++key; + } + } + + /*! + \brief Copies the key to the output destination. + + \sa CopyKeyAdvance + + \param[in] key the first coordinate of the key + \param[in,out] result destination of the copied key + */ + inline void CopyKey ( + InputIterator key, + OutputIterator& result) + { + CopyKeyAdvance (key, result); + } + + /*! + \brief Increments the iterator by n points. + + \sa AdvanceCopy + + \param[in,out] it iterator to be advanced + \param[in] n number of points to advance + */ + inline void Advance ( + InputIterator& it, + diff_type n = 1) + { + std::advance (it, n * static_cast (DIM)); + } + + /*! + \brief Increments a copy of the iterator by n points. + + \sa Advance + + \param[in] it iterator to be advanced + \param[in] n number of points to advance + \return an incremented copy of the input iterator + */ + inline InputIterator AdvanceCopy ( + InputIterator it, + diff_type n = 1) + { + Advance (it, n); + return it; + } + + /*! + \brief Increments the iterator by n points if possible. + + If there are fewer than n point remaining the iterator will be incremented to the last + point. + + \sa Backward + + \param[in,out] it iterator to be advanced + \param[in] n number of points to advance + \param[in,out] remaining number of points remaining after it + \return the actual amount of points that the iterator advanced + */ + inline unsigned Forward ( + InputIterator& it, + unsigned n, + unsigned& remaining) + { + n = std::min (n, remaining); + Advance (it, n); + remaining -= n; + return n; + } + + /*! + \brief Decrements the iterator by 1 point. + + \sa Forward + + \param[in,out] it iterator to be advanced + \param[in,out] remaining number of points remaining after it + */ + inline void Backward ( + InputIterator& it, + unsigned& remaining) + { + Advance (it, -1); + ++remaining; + } + + private: + /*! + \brief Douglas-Peucker approximation helper class. + + Contains helper implentations for Douglas-Peucker approximation that operate solely on + value_type arrays and value_type pointers. Note that the PolylineSimplification + class only operates on iterators. + */ + class DPHelper + { + //! \brief Defines a sub polyline. + struct SubPoly { + SubPoly (ptr_diff_type first=0, ptr_diff_type last=0) : + first (first), last (last) {} + + ptr_diff_type first; //! coord index of the first point + ptr_diff_type last; //! coord index of the last point + }; + + //! \brief Defines the key of a polyline. + struct KeyInfo { + KeyInfo (ptr_diff_type index=0, value_type dist2=0) : + index (index), dist2 (dist2) {} + + ptr_diff_type index; //! coord index of the key + value_type dist2; //! squared distance of the key to a segment + }; + + //! \brief Defines a sub polyline including its key. + struct SubPolyAlt { + SubPolyAlt (ptr_diff_type first=0, ptr_diff_type last=0) : + first (first), last (last) {} + + ptr_diff_type first; //! coord index of the first point + ptr_diff_type last; //! coord index of the last point + KeyInfo keyInfo; //! key of this sub poly + + bool operator< (const SubPolyAlt& other) const { + return keyInfo.dist2 < other.keyInfo.dist2; + } + }; + + public: + /*! + \brief Performs Douglas-Peucker approximation. + + \param[in] coords array of polyline coordinates + \param[in] coordCount number of coordinates in coords [] + \param[in] tol approximation tolerance + \param[out] keys indicates for each polyline point if it is a key + */ + static void Approximate ( + const value_type* coords, + ptr_diff_type coordCount, + value_type tol, + unsigned char* keys) + { + value_type tol2 = tol * tol; // squared distance tolerance + ptr_diff_type pointCount = coordCount / DIM; + // zero out keys + std::fill_n (keys, pointCount, 0); + keys [0] = 1; // the first point is always a key + keys [pointCount - 1] = 1; // the last point is always a key + + typedef std::stack Stack; + Stack stack; // LIFO job-queue containing sub-polylines + + SubPoly subPoly (0, coordCount-DIM); + stack.push (subPoly); // add complete poly + + while (!stack.empty ()) { + subPoly = stack.top (); // take a sub poly + stack.pop (); // and find its key + KeyInfo keyInfo = FindKey (coords, subPoly.first, subPoly.last); + if (keyInfo.index && tol2 < keyInfo.dist2) { + // store the key if valid + keys [keyInfo.index / DIM] = 1; + // split the polyline at the key and recurse + stack.push (SubPoly (keyInfo.index, subPoly.last)); + stack.push (SubPoly (subPoly.first, keyInfo.index)); + } + } + } + + /*! + \brief Performs Douglas-Peucker approximation. + + \param[in] coords array of polyline coordinates + \param[in] coordCount number of coordinates in coords [] + \param[in] countTol point count tolerance + \param[out] keys indicates for each polyline point if it is a key + */ + static void ApproximateN ( + const value_type* coords, + ptr_diff_type coordCount, + unsigned countTol, + unsigned char* keys) + { + ptr_diff_type pointCount = coordCount / DIM; + // zero out keys + std::fill_n (keys, pointCount, 0); + keys [0] = 1; // the first point is always a key + keys [pointCount - 1] = 1; // the last point is always a key + unsigned keyCount = 2; + + if (countTol == 2) { + return; + } + + typedef std::priority_queue PriorityQueue; + PriorityQueue queue; // sorted (max dist2) job queue containing sub-polylines + + SubPolyAlt subPoly (0, coordCount-DIM); + subPoly.keyInfo = FindKey (coords, subPoly.first, subPoly.last); + queue.push (subPoly); // add complete poly + + while (!queue.empty ()) { + subPoly = queue.top (); // take a sub poly + queue.pop (); + // store the key + keys [subPoly.keyInfo.index / DIM] = 1; + // check point count tolerance + keyCount++; + if (keyCount == countTol) { + break; + } + // split the polyline at the key and recurse + SubPolyAlt left (subPoly.first, subPoly.keyInfo.index); + left.keyInfo = FindKey (coords, left.first, left.last); + if (left.keyInfo.index) { + queue.push (left); + } + SubPolyAlt right (subPoly.keyInfo.index, subPoly.last); + right.keyInfo = FindKey (coords, right.first, right.last); + if (right.keyInfo.index) { + queue.push (right); + } + } + } + + private: + /*! + \brief Finds the key for the given sub polyline. + + Finds the point in the range [first, last] that is furthest away from the + segment (first, last). This point is called the key. + + \param[in] coords array of polyline coordinates + \param[in] first the first coordinate of the first polyline point + \param[in] last the first coordinate of the last polyline point + \return the index of the key and its distance, or last when a key + could not be found + */ + static KeyInfo FindKey ( + const value_type* coords, + ptr_diff_type first, + ptr_diff_type last) + { + KeyInfo keyInfo; + + for (ptr_diff_type current = first + DIM; current < last; current += DIM) { + value_type d2 = math::segment_distance2 (coords + first, coords + last, + coords + current); + if (d2 < keyInfo.dist2) { + continue; + } + // update maximum squared distance and the point it belongs to + keyInfo.index = current; + keyInfo.dist2 = d2; + } + return keyInfo; + } + }; + }; + + /*! + \brief Performs the nth point routine (NP). + + This is a convenience function that provides template type deduction for + PolylineSimplification::NthPoint. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] n specifies 'each nth point' + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_nth_point ( + ForwardIterator first, + ForwardIterator last, + unsigned n, + OutputIterator result) + { + PolylineSimplification ps; + return ps.NthPoint (first, last, n, result); + } + + /*! + \brief Performs the (radial) distance between points routine (RD). + + This is a convenience function that provides template type deduction for + PolylineSimplification::RadialDistance. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol radial (point-to-point) distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_radial_distance ( + ForwardIterator first, + ForwardIterator last, + typename std::iterator_traits ::value_type tol, + OutputIterator result) + { + PolylineSimplification ps; + return ps.RadialDistance (first, last, tol, result); + } + + /*! + \brief Repeatedly performs the perpendicular distance routine (PD). + + This is a convenience function that provides template type deduction for + PolylineSimplification::PerpendicularDistance. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (segment-to-point) distance tolerance + \param[in] repeat the number of times to successively apply the PD routine. + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_perpendicular_distance ( + ForwardIterator first, + ForwardIterator last, + typename std::iterator_traits ::value_type tol, + unsigned repeat, + OutputIterator result) + { + PolylineSimplification ps; + return ps.PerpendicularDistance (first, last, tol, repeat, result); + } + + /*! + \brief Performs the perpendicular distance routine (PD). + + This is a convenience function that provides template type deduction for + PolylineSimplification::PerpendicularDistance. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (segment-to-point) distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_perpendicular_distance ( + ForwardIterator first, + ForwardIterator last, + typename std::iterator_traits ::value_type tol, + OutputIterator result) + { + PolylineSimplification ps; + return ps.PerpendicularDistance (first, last, tol, result); + } + + /*! + \brief Performs Reumann-Witkam polyline simplification (RW). + + This is a convenience function that provides template type deduction for + PolylineSimplification::ReumannWitkam. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (point-to-line) distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_reumann_witkam ( + ForwardIterator first, + ForwardIterator last, + typename std::iterator_traits ::value_type tol, + OutputIterator result) + { + PolylineSimplification ps; + return ps.ReumannWitkam (first, last, tol, result); + } + + /*! + \brief Performs Opheim polyline simplification (OP). + + This is a convenience function that provides template type deduction for + PolylineSimplification::Opheim. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] min_tol minimum distance tolerance + \param[in] max_tol maximum distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_opheim ( + ForwardIterator first, + ForwardIterator last, + typename std::iterator_traits ::value_type min_tol, + typename std::iterator_traits ::value_type max_tol, + OutputIterator result) + { + PolylineSimplification ps; + return ps.Opheim (first, last, min_tol, max_tol, result); + } + + /*! + \brief Performs Lang polyline simplification (LA). + + This is a convenience function that provides template type deduction for + PolylineSimplification::Lang. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (point-to-segment) distance tolerance + \param[in] look_ahead defines the size of the search region + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_lang ( + BidirectionalIterator first, + BidirectionalIterator last, + typename std::iterator_traits ::value_type tol, + unsigned look_ahead, + OutputIterator result) + { + PolylineSimplification ps; + return ps.Lang (first, last, tol, look_ahead, result); + } + + /*! + \brief Performs Douglas-Peucker polyline simplification (DP). + + This is a convenience function that provides template type deduction for + PolylineSimplification::DouglasPeucker. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] tol perpendicular (point-to-segment) distance tolerance + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_douglas_peucker ( + ForwardIterator first, + ForwardIterator last, + typename std::iterator_traits ::value_type tol, + OutputIterator result) + { + PolylineSimplification ps; + return ps.DouglasPeucker (first, last, tol, result); + } + + /*! + \brief Performs a variant of Douglas-Peucker polyline simplification (DPn). + + This is a convenience function that provides template type deduction for + PolylineSimplification::DouglasPeuckerAlt. + + \param[in] first the first coordinate of the first polyline point + \param[in] last one beyond the last coordinate of the last polyline point + \param[in] count the maximum number of points of the simplified polyline + \param[in] result destination of the simplified polyline + \return one beyond the last coordinate of the simplified polyline + */ + template + OutputIterator simplify_douglas_peucker_n ( + ForwardIterator first, + ForwardIterator last, + unsigned count, + OutputIterator result) + { + PolylineSimplification ps; + return ps.DouglasPeuckerN (first, last, count, result); + } + + /*! + \brief Computes the squared positional error between a polyline and its simplification. + + This is a convenience function that provides template type deduction for + PolylineSimplification::ComputePositionalErrors2. + + \param[in] original_first the first coordinate of the first polyline point + \param[in] original_last one beyond the last coordinate of the last polyline point + \param[in] simplified_first the first coordinate of the first simplified polyline point + \param[in] simplified_last one beyond the last coordinate of the last simplified polyline point + \param[in] result destination of the squared positional errors + \param[out] valid [optional] indicates if the computed positional errors are valid + \return one beyond the last computed positional error + */ + template + OutputIterator compute_positional_errors2 ( + ForwardIterator original_first, + ForwardIterator original_last, + ForwardIterator simplified_first, + ForwardIterator simplified_last, + OutputIterator result, + bool* valid=0) + { + PolylineSimplification ps; + return ps.ComputePositionalErrors2 (original_first, original_last, simplified_first, simplified_last, result, valid); + } + + /*! + \brief Computes statistics for the positional errors between a polyline and its simplification. + + This is a convenience function that provides template type deduction for + PolylineSimplification::ComputePositionalErrorStatistics. + + \param[in] original_first the first coordinate of the first polyline point + \param[in] original_last one beyond the last coordinate of the last polyline point + \param[in] simplified_first the first coordinate of the first simplified polyline point + \param[in] simplified_last one beyond the last coordinate of the last simplified polyline point + \param[out] valid [optional] indicates if the computed statistics are valid + \return the computed statistics + */ + template + math::Statistics compute_positional_error_statistics ( + ForwardIterator original_first, + ForwardIterator original_last, + ForwardIterator simplified_first, + ForwardIterator simplified_last, + bool* valid=0) + { + PolylineSimplification ps; + return ps.ComputePositionalErrorStatistics (original_first, original_last, simplified_first, simplified_last, valid); + } +} + +#endif // PSIMPL_GENERIC diff --git a/lib/simplify-js-alternative/Makefile b/lib/simplify-js-alternative/Makefile new file mode 100644 index 0000000..708634f --- /dev/null +++ b/lib/simplify-js-alternative/Makefile @@ -0,0 +1,2 @@ +simplify.diff: + diff ../turf-simplify/lib/simplify.js simplify.js > simplify.diff || true diff --git a/lib/simplify-js-alternative/README.md b/lib/simplify-js-alternative/README.md new file mode 100644 index 0000000..92dedb3 --- /dev/null +++ b/lib/simplify-js-alternative/README.md @@ -0,0 +1 @@ +This is an alternative Simplify.js version to take coordinates as a nested array. diff --git a/lib/simplify-js-alternative/simplify.diff b/lib/simplify-js-alternative/simplify.diff new file mode 100644 index 0000000..df3bfad --- /dev/null +++ b/lib/simplify-js-alternative/simplify.diff @@ -0,0 +1,42 @@ +1,9d0 +< /* +< (c) 2013, Vladimir Agafonkin +< Simplify.js, a high-performance JS polyline simplification library +< mourner.github.io/simplify-js +< */ +< +< // to suit your point format, run search/replace for '.x' and '.y'; +< // for 3D version, see 3d branch (configurability would draw significant performance overhead) +< +13,14c4,5 +< var dx = p1.x - p2.x, +< dy = p1.y - p2.y; +--- +> var dx = p1[0] - p2[0], +> dy = p1[1] - p2[1]; +22,25c13,16 +< var x = p1.x, +< y = p1.y, +< dx = p2.x - x, +< dy = p2.y - y; +--- +> var x = p1[0], +> y = p1[1], +> dx = p2[0] - x, +> dy = p2[1] - y; +29c20 +< var t = ((p.x - x) * dx + (p.y - y) * dy) / (dx * dx + dy * dy); +--- +> var t = ((p[0] - x) * dx + (p[1] - y) * dy) / (dx * dx + dy * dy); +32,33c23,24 +< x = p2.x; +< y = p2.y; +--- +> x = p2[0]; +> y = p2[1]; +41,42c32,33 +< dx = p.x - x; +< dy = p.y - y; +--- +> dx = p[0] - x; +> dy = p[1] - y; diff --git a/lib/simplify-js-alternative/simplify.js b/lib/simplify-js-alternative/simplify.js new file mode 100644 index 0000000..b4244eb --- /dev/null +++ b/lib/simplify-js-alternative/simplify.js @@ -0,0 +1,102 @@ +// square distance between 2 points +function getSqDist(p1, p2) { + + var dx = p1[0] - p2[0], + dy = p1[1] - p2[1]; + + return dx * dx + dy * dy; +} + +// square distance from a point to a segment +function getSqSegDist(p, p1, p2) { + + var x = p1[0], + y = p1[1], + dx = p2[0] - x, + dy = p2[1] - y; + + if (dx !== 0 || dy !== 0) { + + var t = ((p[0] - x) * dx + (p[1] - y) * dy) / (dx * dx + dy * dy); + + if (t > 1) { + x = p2[0]; + y = p2[1]; + + } else if (t > 0) { + x += dx * t; + y += dy * t; + } + } + + dx = p[0] - x; + dy = p[1] - y; + + return dx * dx + dy * dy; +} +// rest of the code doesn't care about point format + +// basic distance-based simplification +function simplifyRadialDist(points, sqTolerance) { + + var prevPoint = points[0], + newPoints = [prevPoint], + point; + + for (var i = 1, len = points.length; i < len; i++) { + point = points[i]; + + if (getSqDist(point, prevPoint) > sqTolerance) { + newPoints.push(point); + prevPoint = point; + } + } + + if (prevPoint !== point) newPoints.push(point); + + return newPoints; +} + +function simplifyDPStep(points, first, last, sqTolerance, simplified) { + var maxSqDist = sqTolerance, + index; + + for (var i = first + 1; i < last; i++) { + var sqDist = getSqSegDist(points[i], points[first], points[last]); + + if (sqDist > maxSqDist) { + index = i; + maxSqDist = sqDist; + } + } + + if (maxSqDist > sqTolerance) { + if (index - first > 1) simplifyDPStep(points, first, index, sqTolerance, simplified); + simplified.push(points[index]); + if (last - index > 1) simplifyDPStep(points, index, last, sqTolerance, simplified); + } +} + +// simplification using Ramer-Douglas-Peucker algorithm +function simplifyDouglasPeucker(points, sqTolerance) { + var last = points.length - 1; + + var simplified = [points[0]]; + simplifyDPStep(points, 0, last, sqTolerance, simplified); + simplified.push(points[last]); + + return simplified; +} + +// both algorithms combined for awesome performance +export default function simplify(points, tolerance, highestQuality) { + + if (points.length <= 2) return points; + + var sqTolerance = tolerance !== undefined ? tolerance * tolerance : 1; + + points = highestQuality ? points : simplifyRadialDist(points, sqTolerance); + points = simplifyDouglasPeucker(points, sqTolerance); + + return points; +} diff --git a/lib/simplify-js/.gitignore b/lib/simplify-js/.gitignore new file mode 100644 index 0000000..c26f93a --- /dev/null +++ b/lib/simplify-js/.gitignore @@ -0,0 +1,28 @@ +### Node template +# Logs +logs +*.log + +# Runtime data +pids +*.pid +*.seed + +# Directory for instrumented libs generated by jscoverage/JSCover +lib-cov + +# Coverage directory used by tools like istanbul +coverage + +# Grunt intermediate storage (http://gruntjs.com/creating-plugins#storing-task-files) +.grunt + +# node-waf configuration +.lock-wscript + +# Compiled binary addons (http://nodejs.org/api/addons.html) +build/Release + +# Dependency directory +# https://docs.npmjs.com/misc/faq#should-i-check-my-node-modules-folder-into-git +node_modules diff --git a/lib/simplify-js/LICENSE b/lib/simplify-js/LICENSE new file mode 100644 index 0000000..bda6bcc --- /dev/null +++ b/lib/simplify-js/LICENSE @@ -0,0 +1,22 @@ +Copyright (c) 2017, Vladimir Agafonkin +All rights reserved. + +Redistribution and use in source and binary forms, with or without modification, are +permitted provided that the following conditions are met: + + 1. Redistributions of source code must retain the above copyright notice, this list of + conditions and the following disclaimer. + + 2. Redistributions in binary form must reproduce the above copyright notice, this list + of conditions and the following disclaimer in the documentation and/or other materials + provided with the distribution. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, +EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) +HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR +TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/lib/simplify-js/README.md b/lib/simplify-js/README.md new file mode 100644 index 0000000..626a3b5 --- /dev/null +++ b/lib/simplify-js/README.md @@ -0,0 +1,19 @@ +Simplify.js is a high-performance JavaScript polyline simplification library by Vladimir Agafonkin, extracted from [Leaflet](http://leafletjs.com). + +Checkout the demo with docs: http://mourner.github.io/simplify-js/ + +#### Ports + + * Python: [omarestrella / simplify.py](https://github.com/omarestrella/simplify.py) (by Omar Estrella) + * PHP: [AKeN / simplify-php](https://github.com/AKeN/simplify-php) (by Rotari Gheorghe) + * PHP: [andreychumak / simplify-php](https://github.com/andreychumak/simplify-php) (by Andrey Chumak) + * Java: [ekeneijeoma / simplify-java](https://github.com/ekeneijeoma/simplify-java) (by Ekene Ijeoma) + * Java: [hgoebl / simplify-java](https://github.com/hgoebl/simplify-java) (by Heinrich Göbl) + * Processing: [ekeneijeoma / simplify-processing](https://github.com/ekeneijeoma/simplify-processing) (by Ekene Ijeoma) + * AS3: [fnicollet / simplify-as3](https://github.com/fnicollet/simplify-as3) (by Fabien Nicollet) + * Rust: [calvinmetcalf / simplify-rs](https://github.com/calvinmetcalf/simplify-rs) (by Calvin Metcalf) + * Ruby: [odlp / simplify_rb](https://github.com/odlp/simplify_rb) (by Oliver Peate) + * Go: [yrsh / simplify_go](https://github.com/yrsh/simplify-go) (by Anton Korotkikh) + * C# (Portable): [imshz / simplify-net](https://github.com/imshz/simplify-net) (by Shees Ul-Hassan) + * Swift: [malcommac / SwiftSimplify](https://github.com/malcommac/SwiftSimplify) (by Daniele Margutti) + * Unreal Engine: [SINTEF-9012 / SimplifyUnreal](https://github.com/SINTEF-9012/SimplifyUnreal) (by Antoine Pultier) diff --git a/lib/simplify-js/bench/bench.js b/lib/simplify-js/bench/bench.js new file mode 100644 index 0000000..b06ddad --- /dev/null +++ b/lib/simplify-js/bench/bench.js @@ -0,0 +1,19 @@ + +var Benchmark = require('benchmark'); +var simplify = require('../simplify'); + +var points = require('../test/fixtures/1k.json'); + +console.log('Benchmarking simplify on ' + points.length + ' points...'); + +new Benchmark.Suite() +.add('simplify (HQ)', function() { + simplify(points, 1, true); +}) +.add('simplify', function() { + simplify(points, 1, false); +}) +.on('cycle', function(event) { + console.log(String(event.target)); +}) +.run(); diff --git a/lib/simplify-js/index.d.ts b/lib/simplify-js/index.d.ts new file mode 100644 index 0000000..b2bf7af --- /dev/null +++ b/lib/simplify-js/index.d.ts @@ -0,0 +1,9 @@ +interface Point { + x: number; + y: number; +} + +declare function simplify (points: Point[], tolerance?: number, highQuality?: boolean): Point[]; +declare namespace simplify {} + +export = simplify; diff --git a/lib/simplify-js/package.json b/lib/simplify-js/package.json new file mode 100644 index 0000000..f7d3e2d --- /dev/null +++ b/lib/simplify-js/package.json @@ -0,0 +1,38 @@ +{ + "name": "simplify-js", + "version": "1.2.3", + "description": "A high-performance JavaScript 2D/3D polyline simplification library", + "homepage": "http://mourner.github.com/simplify-js/", + "author": "Vladimir Agafonkin", + "license": "BSD-2-Clause", + "keywords": [ + "math", + "geometry", + "polyline", + "simplification" + ], + "repository": { + "type": "git", + "url": "git://github.com/mourner/simplify-js.git" + }, + "main": "simplify.js", + "files": [ + "index.d.ts", + "simplify.js" + ], + "types": "index.d.ts", + "devDependencies": { + "benchmark": "^2.1.4", + "faucet": "0.0.1", + "jshint": "^2.9.5", + "tape": "^4.8.0" + }, + "scripts": { + "test": "jshint simplify.js test/test.js && node test/test.js | faucet" + }, + "jshintConfig": { + "quotmark": "single", + "trailing": true, + "unused": true + } +} diff --git a/lib/simplify-js/simplify.js b/lib/simplify-js/simplify.js new file mode 100644 index 0000000..339c84f --- /dev/null +++ b/lib/simplify-js/simplify.js @@ -0,0 +1,123 @@ +/* + (c) 2017, Vladimir Agafonkin + Simplify.js, a high-performance JS polyline simplification library + mourner.github.io/simplify-js +*/ + +(function () { 'use strict'; + +// to suit your point format, run search/replace for '.x' and '.y'; +// for 3D version, see 3d branch (configurability would draw significant performance overhead) + +// square distance between 2 points +function getSqDist(p1, p2) { + + var dx = p1.x - p2.x, + dy = p1.y - p2.y; + + return dx * dx + dy * dy; +} + +// square distance from a point to a segment +function getSqSegDist(p, p1, p2) { + + var x = p1.x, + y = p1.y, + dx = p2.x - x, + dy = p2.y - y; + + if (dx !== 0 || dy !== 0) { + + var t = ((p.x - x) * dx + (p.y - y) * dy) / (dx * dx + dy * dy); + + if (t > 1) { + x = p2.x; + y = p2.y; + + } else if (t > 0) { + x += dx * t; + y += dy * t; + } + } + + dx = p.x - x; + dy = p.y - y; + + return dx * dx + dy * dy; +} +// rest of the code doesn't care about point format + +// basic distance-based simplification +function simplifyRadialDist(points, sqTolerance) { + + var prevPoint = points[0], + newPoints = [prevPoint], + point; + + for (var i = 1, len = points.length; i < len; i++) { + point = points[i]; + + if (getSqDist(point, prevPoint) > sqTolerance) { + newPoints.push(point); + prevPoint = point; + } + } + + if (prevPoint !== point) newPoints.push(point); + + return newPoints; +} + +function simplifyDPStep(points, first, last, sqTolerance, simplified) { + var maxSqDist = sqTolerance, + index; + + for (var i = first + 1; i < last; i++) { + var sqDist = getSqSegDist(points[i], points[first], points[last]); + + if (sqDist > maxSqDist) { + index = i; + maxSqDist = sqDist; + } + } + + if (maxSqDist > sqTolerance) { + if (index - first > 1) simplifyDPStep(points, first, index, sqTolerance, simplified); + simplified.push(points[index]); + if (last - index > 1) simplifyDPStep(points, index, last, sqTolerance, simplified); + } +} + +// simplification using Ramer-Douglas-Peucker algorithm +function simplifyDouglasPeucker(points, sqTolerance) { + var last = points.length - 1; + + var simplified = [points[0]]; + simplifyDPStep(points, 0, last, sqTolerance, simplified); + simplified.push(points[last]); + + return simplified; +} + +// both algorithms combined for awesome performance +function simplify(points, tolerance, highestQuality) { + + if (points.length <= 2) return points; + + var sqTolerance = tolerance !== undefined ? tolerance * tolerance : 1; + + points = highestQuality ? points : simplifyRadialDist(points, sqTolerance); + points = simplifyDouglasPeucker(points, sqTolerance); + + return points; +} + +// export as AMD module / Node module / browser or worker variable +if (typeof define === 'function' && define.amd) define(function() { return simplify; }); +else if (typeof module !== 'undefined') { + module.exports = simplify; + module.exports.default = simplify; +} else if (typeof self !== 'undefined') self.simplify = simplify; +else window.simplify = simplify; + +})(); diff --git a/lib/simplify-js/test/fixtures/1k.json b/lib/simplify-js/test/fixtures/1k.json new file mode 100644 index 0000000..1f3180f --- /dev/null +++ b/lib/simplify-js/test/fixtures/1k.json @@ -0,0 +1 @@ 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{x:839.57,y:390.40},{x:848.40,y:407.55},{x:839.51,y:432.76},{x:853.97,y:471.15}, + {x:866.36,y:480.77} +]; + +var simplify = require('../simplify'), + t = require('tape'); + +t('simplifies points correctly with the given tolerance', function (t) { + var result = simplify(points, 5); + t.same(result, simplified); + t.end(); +}); + +t('just return the points if it has only one point', function(t){ + var result = simplify([{x:1, y:2}]); + t.same(result, [{x:1, y:2}]); + t.end(); +}); + +t('just return the points if it has no points', function(t){ + var result = simplify([]); + t.same(result, []); + t.end(); +}); diff --git a/lib/simplify-wasm/Makefile b/lib/simplify-wasm/Makefile new file mode 100644 index 0000000..f1be4dd --- /dev/null +++ b/lib/simplify-wasm/Makefile @@ -0,0 +1,13 @@ +OPTIMIZE="-O3" + +simplify.wasm module.js: simplify.c + emcc \ + ${OPTIMIZE} \ + --closure 1 \ + -s WASM=1 \ + -s ALLOW_MEMORY_GROWTH=1 \ + -s MODULARIZE=1 \ + -s EXPORT_ES6=1 \ + -s EXPORTED_FUNCTIONS='["_simplify", "_malloc", "_free"]' \ + -o simplify.js \ + simplify.c diff --git a/lib/simplify-wasm/example.html b/lib/simplify-wasm/example.html new file mode 100644 index 0000000..094596d --- /dev/null +++ b/lib/simplify-wasm/example.html @@ -0,0 +1,32 @@ + + + + + + + Document + + + +
Original array: Loading...
+
Simplified array: Loading...
+ + + + + \ No newline at end of file diff --git a/lib/simplify-wasm/index.js b/lib/simplify-wasm/index.js new file mode 100644 index 0000000..16caa5e --- /dev/null +++ b/lib/simplify-wasm/index.js @@ -0,0 +1,31 @@ +/* + This file is meant to be processed in the context of an asset bundler. + Specifically the import of 'simplify.wasm' is meant to be resolved by the + corresponding path to that file. Configure a file loader to resolve .wasm + files (e.g. Webpack: file-loader) accordingly. + + Otherwise you have to use the module factory 'simplify.js' manually and + reproduce the steps from below to fit your build context. See example.html. + + Other than wrapping the memory handling for convenience this method also makes + sure the module is only loaded once. +*/ + +import wasmModuleFactory from './simplify.js' +import wasmUrl from './simplify.wasm' +import { initEmscriptenModule } from '../wasm-util/initEmscripten.js' +import { storeCoords, loadResultAndFreeMemory } from '../wasm-util/coordinates.js' + +export async function simplifyWasm(coords, tolerance, highestQuality) { + const module = await getModule() + const buffer = storeCoords(module, coords) + const result = module._simplify(buffer, coords.length * 2, tolerance, highestQuality) + module._free(buffer) + return loadResultAndFreeMemory(module, result) +} + +let emscriptenModule +export async function getModule () { + if (!emscriptenModule) emscriptenModule = initEmscriptenModule(wasmModuleFactory, wasmUrl) + return await emscriptenModule +} diff --git a/lib/simplify-wasm/simplify.c b/lib/simplify-wasm/simplify.c new file mode 100644 index 0000000..a18b2b4 --- /dev/null +++ b/lib/simplify-wasm/simplify.c @@ -0,0 +1,122 @@ +#include + +#define DIM 2 + +void copyCoordinate(double* from, double* to) { + for (int i = 0; i < DIM; i++) { + to[i] = from[i]; + } +} + +// extends array and copies point on the end. Returns new length +int push(double* array, int length, double* point) { + int newLength = length + DIM; + // realloc(array, newLength * sizeof(double)); + copyCoordinate(point, array + length); + return newLength; +} + +// square distance between 2 points +double getSqDist(double* p1, double* p2) { + double dx = p1[0] - p2[0], + dy = p1[1] - p2[1]; + return dx * dx + dy * dy; +} + + +// square distance from a point to a segment +double getSqSegDist(double* p, double* p1, double* p2) { + double x = p1[0], + y = p1[1], + dx = p2[0] - x, + dy = p2[1] - y; + + if (dx != 0 || dy != 0) { + double t = ((p[0] - x) * dx + (p[1] - y) * dy) / (dx * dx + dy * dy); + + if (t > 1) { + x = p2[0]; + y = p2[1]; + + } else if (t > 0) { + x += dx * t; + y += dy * t; + } + } + + dx = p[0] - x; + dy = p[1] - y; + + return dx * dx + dy * dy; +} + +// basic distance-based simplification +int simplifyRadialDist(double* points, int length, double sqTolerance, double* newPoints) { + double* prevPoint = points; + double* point; + int sizeOfNewPoints = push(newPoints, 0, points); + + for (int i = 1; i < length; i += DIM) { + point = points + i; + if (getSqDist(point, prevPoint) > sqTolerance) { + sizeOfNewPoints = push(newPoints, sizeOfNewPoints, point); + prevPoint = point; + } + } + + if (prevPoint != point) { + sizeOfNewPoints = push(newPoints, sizeOfNewPoints, point); + } + + return sizeOfNewPoints; +} + +int simplifyDPStep(double* points, int first, int last, double sqTolerance, double* simplified, int lengthOfSimplified) { + double maxSqDist = sqTolerance; + int index; + + for (int i = first + DIM; i < last; i += DIM) { + double sqDist = getSqSegDist(points + i, points + first, points + last); + + if (sqDist > maxSqDist) { + index = i; + maxSqDist = sqDist; + } + } + + if (maxSqDist > sqTolerance) { + if (index - first > DIM) lengthOfSimplified = simplifyDPStep(points, first, index, sqTolerance, simplified, lengthOfSimplified); + lengthOfSimplified = push(simplified, lengthOfSimplified, points + index); + if (last - index > DIM) lengthOfSimplified = simplifyDPStep(points, index, last, sqTolerance, simplified, lengthOfSimplified); + } + return lengthOfSimplified; +} + +// simplification using Ramer-Douglas-Peucker algorithm +int simplifyDouglasPeucker(double* points, int length, double sqTolerance, double* simplified) { + int lengthOfSimplified; + lengthOfSimplified = push(simplified, 0, points); + lengthOfSimplified = simplifyDPStep(points, 0, length - DIM, sqTolerance, simplified, lengthOfSimplified); + lengthOfSimplified = push(simplified, lengthOfSimplified, points + length - DIM); + return lengthOfSimplified; +} + +int* simplify(double * input, int length, double tolerance, int highestQuality) { + double sqTolerance = tolerance * tolerance; + double* points = input; + double* resultRdDistance = NULL; + double* result = malloc(length * sizeof(double)); + + if (!highestQuality) { + resultRdDistance = malloc(length * sizeof(double)); + length = simplifyRadialDist(points, length, sqTolerance, resultRdDistance); + points = resultRdDistance; + } + int resultLength = simplifyDouglasPeucker(points, length, sqTolerance, result); + free(resultRdDistance); + + int* resultInfo = malloc(2); + resultInfo[0] = (int) result; + resultInfo[1] = resultLength; + return resultInfo; +} diff --git a/lib/simplify-wasm/simplify.js b/lib/simplify-wasm/simplify.js new file mode 100644 index 0000000..e75e5ed --- /dev/null +++ b/lib/simplify-wasm/simplify.js @@ -0,0 +1,31 @@ + +var Module = (function() { + var _scriptDir = typeof document !== 'undefined' && document.currentScript ? document.currentScript.src : undefined; + return ( +function(Module) { + Module = Module || {}; + +var a;a||(a=typeof Module !== 'undefined' ? 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Internally uses +[simplify-js][2] to perform simplification using the Ramer-Douglas-Peucker algorithm. + +**Parameters** + +- `geojson` **[GeoJSON][3]** object to be simplified +- `options` **[Object][4]** Optional parameters (optional, default `{}`) + - `options.tolerance` **[number][5]** simplification tolerance (optional, default `1`) + - `options.highQuality` **[boolean][6]** whether or not to spend more time to create a higher-quality simplification with a different algorithm (optional, default `false`) + - `options.mutate` **[boolean][6]** allows GeoJSON input to be mutated (significant performance increase if true) (optional, default `false`) + +**Examples** + +```javascript +var geojson = turf.polygon([[ + [-70.603637, -33.399918], + [-70.614624, -33.395332], + [-70.639343, -33.392466], + [-70.659942, -33.394759], + [-70.683975, -33.404504], + [-70.697021, -33.419406], + [-70.701141, -33.434306], + [-70.700454, -33.446339], + [-70.694274, -33.458369], + [-70.682601, -33.465816], + [-70.668869, -33.472117], + [-70.646209, -33.473835], + [-70.624923, -33.472117], + [-70.609817, -33.468107], + [-70.595397, -33.458369], + [-70.587158, -33.442901], + [-70.587158, -33.426283], + [-70.590591, -33.414248], + [-70.594711, -33.406224], + [-70.603637, -33.399918] +]]); +var options = {tolerance: 0.01, highQuality: false}; +var simplified = turf.simplify(geojson, options); + +//addToMap +var addToMap = [geojson, simplified] +``` + +Returns **[GeoJSON][3]** a simplified GeoJSON + +[1]: https://tools.ietf.org/html/rfc7946#section-3 + +[2]: http://mourner.github.io/simplify-js/ + +[3]: https://tools.ietf.org/html/rfc7946#section-3 + +[4]: https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/Object + +[5]: https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/Number + +[6]: https://developer.mozilla.org/docs/Web/JavaScript/Reference/Global_Objects/Boolean + + + +--- + +This module is part of the [Turfjs project](http://turfjs.org/), an open source +module collection dedicated to geographic algorithms. It is maintained in the +[Turfjs/turf](https://github.com/Turfjs/turf) repository, where you can create +PRs and issues. + +### Installation + +Install this module individually: + +```sh +$ npm install @turf/simplify +``` + +Or install the Turf module that includes it as a function: + +```sh +$ npm install @turf/turf +``` diff --git a/lib/turf-simplify/bench.js b/lib/turf-simplify/bench.js new file mode 100644 index 0000000..3258cda --- /dev/null +++ b/lib/turf-simplify/bench.js @@ -0,0 +1,67 @@ +import fs from 'fs'; +import path from 'path'; +import load from 'load-json-file'; +import Benchmark from 'benchmark'; +import simplify from './'; + +const directory = path.join(__dirname, 'test', 'in') + path.sep; +const fixtures = fs.readdirSync(directory).map(filename => { + return { + name: path.parse(filename).name, + geojson: load.sync(directory + filename) + }; +}); + +/** + * Single Process Benchmark + * + * argentina: 4.695ms + * featurecollection: 1.647ms + * fiji-hiQ: 0.461ms + * geometrycollection: 3.332ms + * linestring: 0.460ms + * multilinestring: 0.657ms + * multipoint: 0.193ms + * multipolygon: 6.108ms + * point: 0.032ms + * poly-issue#555-5: 4.956ms + * polygon: 0.675ms + * simple-polygon: 2.735ms + */ +for (const {name, geojson} of fixtures) { + let {tolerance, highQuality} = geojson.properties || {}; + tolerance = tolerance || 0.01; + highQuality = highQuality || false; + console.time(name); + simplify(geojson, tolerance, highQuality); + console.timeEnd(name); +} + +/** + * Benchmark Results + * + * argentina x 13,380 ops/sec ±4.31% (72 runs sampled) + * featurecollection x 4,709 ops/sec ±2.24% (76 runs sampled) + * fiji-hiQ x 41,197 ops/sec ±1.96% (80 runs sampled) + * geometrycollection x 4,690 ops/sec ±2.25% (78 runs sampled) + * linestring x 29,737 ops/sec ±2.26% (77 runs sampled) + * multilinestring x 20,530 ops/sec ±2.08% (77 runs sampled) + * multipoint x 394,980 ops/sec ±2.35% (77 runs sampled) + * multipolygon x 809 ops/sec ±3.32% (70 runs sampled) + * point x 5,157,027 ops/sec ±8.79% (72 runs sampled) + * poly-issue#555-5 x 1,816 ops/sec ±2.43% (66 runs sampled) + * polygon x 2,996 ops/sec ±2.85% (74 runs sampled) + * simple-polygon x 369 ops/sec ±7.55% (66 runs sampled) + */ +const suite = new Benchmark.Suite('turf-transform-simplify'); +for (const {name, geojson} of fixtures) { + let {tolerance, highQuality} = geojson.properties || {}; + tolerance = tolerance || 0.01; + highQuality = highQuality || false; + suite.add(name, () => simplify(geojson, tolerance, highQuality)); +} + +suite + .on('cycle', e => console.log(String(e.target))) + .on('complete', () => {}) + .run(); diff --git a/lib/turf-simplify/index.d.ts b/lib/turf-simplify/index.d.ts new file mode 100644 index 0000000..2b2b2bd --- /dev/null +++ b/lib/turf-simplify/index.d.ts @@ -0,0 +1,13 @@ +import { AllGeoJSON } from '@turf/helpers' + +/** + * http://turfjs.org/docs/#simplify + */ +export default function simplify( + geojson: T, + options?: { + tolerance?: number, + highQuality?: boolean, + mutate?: boolean + } +): T; diff --git a/lib/turf-simplify/index.js b/lib/turf-simplify/index.js new file mode 100644 index 0000000..6522b76 --- /dev/null +++ b/lib/turf-simplify/index.js @@ -0,0 +1,175 @@ +import cleanCoords from '@turf/clean-coords'; +import clone from '@turf/clone'; +import { geomEach } from '@turf/meta'; +import { isObject } from '@turf/helpers'; +import simplifyJS from './lib/simplify'; + +/** + * Takes a {@link GeoJSON} object and returns a simplified version. Internally uses + * [simplify-js](http://mourner.github.io/simplify-js/) to perform simplification using the Ramer-Douglas-Peucker algorithm. + * + * @name simplify + * @param {GeoJSON} geojson object to be simplified + * @param {Object} [options={}] Optional parameters + * @param {number} [options.tolerance=1] simplification tolerance + * @param {boolean} [options.highQuality=false] whether or not to spend more time to create a higher-quality simplification with a different algorithm + * @param {boolean} [options.mutate=false] allows GeoJSON input to be mutated (significant performance increase if true) + * @returns {GeoJSON} a simplified GeoJSON + * @example + * var geojson = turf.polygon([[ + * [-70.603637, -33.399918], + * [-70.614624, -33.395332], + * [-70.639343, -33.392466], + * [-70.659942, -33.394759], + * [-70.683975, -33.404504], + * [-70.697021, -33.419406], + * [-70.701141, -33.434306], + * [-70.700454, -33.446339], + * [-70.694274, -33.458369], + * [-70.682601, -33.465816], + * [-70.668869, -33.472117], + * [-70.646209, -33.473835], + * [-70.624923, -33.472117], + * [-70.609817, -33.468107], + * [-70.595397, -33.458369], + * [-70.587158, -33.442901], + * [-70.587158, -33.426283], + * [-70.590591, -33.414248], + * [-70.594711, -33.406224], + * [-70.603637, -33.399918] + * ]]); + * var options = {tolerance: 0.01, highQuality: false}; + * var simplified = turf.simplify(geojson, options); + * + * //addToMap + * var addToMap = [geojson, simplified] + */ +function simplify(geojson, options) { + // Optional parameters + options = options || {}; + if (!isObject(options)) throw new Error('options is invalid'); + var tolerance = options.tolerance !== undefined ? options.tolerance : 1; + var highQuality = options.highQuality || false; + var mutate = options.mutate || false; + + if (!geojson) throw new Error('geojson is required'); + if (tolerance && tolerance < 0) throw new Error('invalid tolerance'); + + // Clone geojson to avoid side effects + if (mutate !== true) geojson = clone(geojson); + + geomEach(geojson, function (geom) { + simplifyGeom(geom, tolerance, highQuality); + }); + return geojson; +} + +/** + * Simplifies a feature's coordinates + * + * @private + * @param {Geometry} geometry to be simplified + * @param {number} [tolerance=1] simplification tolerance + * @param {boolean} [highQuality=false] whether or not to spend more time to create a higher-quality simplification with a different algorithm + * @returns {Geometry} output + */ +function simplifyGeom(geometry, tolerance, highQuality) { + var type = geometry.type; + + // "unsimplyfiable" geometry types + if (type === 'Point' || type === 'MultiPoint') return geometry; + + // Remove any extra coordinates + cleanCoords(geometry, true); + + var coordinates = geometry.coordinates; + switch (type) { + case 'LineString': + geometry['coordinates'] = simplifyLine(coordinates, tolerance, highQuality); + break; + case 'MultiLineString': + geometry['coordinates'] = coordinates.map(function (lines) { + return simplifyLine(lines, tolerance, highQuality); + }); + break; + case 'Polygon': + geometry['coordinates'] = simplifyPolygon(coordinates, tolerance, highQuality); + break; + case 'MultiPolygon': + geometry['coordinates'] = coordinates.map(function (rings) { + return simplifyPolygon(rings, tolerance, highQuality); + }); + } + return geometry; +} + + +/** + * Simplifies the coordinates of a LineString with simplify-js + * + * @private + * @param {Array} coordinates to be processed + * @param {number} tolerance simplification tolerance + * @param {boolean} highQuality whether or not to spend more time to create a higher-quality + * @returns {Array>} simplified coords + */ +function simplifyLine(coordinates, tolerance, highQuality) { + return simplifyJS(coordinates.map(function (coord) { + return {x: coord[0], y: coord[1], z: coord[2]}; + }), tolerance, highQuality).map(function (coords) { + return (coords.z) ? [coords.x, coords.y, coords.z] : [coords.x, coords.y]; + }); +} + + +/** + * Simplifies the coordinates of a Polygon with simplify-js + * + * @private + * @param {Array} coordinates to be processed + * @param {number} tolerance simplification tolerance + * @param {boolean} highQuality whether or not to spend more time to create a higher-quality + * @returns {Array>>} simplified coords + */ +function simplifyPolygon(coordinates, tolerance, highQuality) { + return coordinates.map(function (ring) { + var pts = ring.map(function (coord) { + return {x: coord[0], y: coord[1]}; + }); + if (pts.length < 4) { + throw new Error('invalid polygon'); + } + var simpleRing = simplifyJS(pts, tolerance, highQuality).map(function (coords) { + return [coords.x, coords.y]; + }); + //remove 1 percent of tolerance until enough points to make a triangle + while (!checkValidity(simpleRing)) { + tolerance -= tolerance * 0.01; + simpleRing = simplifyJS(pts, tolerance, highQuality).map(function (coords) { + return [coords.x, coords.y]; + }); + } + if ( + (simpleRing[simpleRing.length - 1][0] !== simpleRing[0][0]) || + (simpleRing[simpleRing.length - 1][1] !== simpleRing[0][1])) { + simpleRing.push(simpleRing[0]); + } + return simpleRing; + }); +} + + +/** + * Returns true if ring has at least 3 coordinates and its first coordinate is the same as its last + * + * @private + * @param {Array} ring coordinates to be checked + * @returns {boolean} true if valid + */ +function checkValidity(ring) { + if (ring.length < 3) return false; + //if the last point is the same as the first, it's not a triangle + return !(ring.length === 3 && ((ring[2][0] === ring[0][0]) && (ring[2][1] === ring[0][1]))); +} + +export default simplify; diff --git a/lib/turf-simplify/lib/simplify.js b/lib/turf-simplify/lib/simplify.js new file mode 100644 index 0000000..3d3a4fc --- /dev/null +++ b/lib/turf-simplify/lib/simplify.js @@ -0,0 +1,111 @@ +/* + (c) 2013, Vladimir Agafonkin + Simplify.js, a high-performance JS polyline simplification library + mourner.github.io/simplify-js +*/ + +// to suit your point format, run search/replace for '.x' and '.y'; +// for 3D version, see 3d branch (configurability would draw significant performance overhead) + +// square distance between 2 points +function getSqDist(p1, p2) { + + var dx = p1.x - p2.x, + dy = p1.y - p2.y; + + return dx * dx + dy * dy; +} + +// square distance from a point to a segment +function getSqSegDist(p, p1, p2) { + + var x = p1.x, + y = p1.y, + dx = p2.x - x, + dy = p2.y - y; + + if (dx !== 0 || dy !== 0) { + + var t = ((p.x - x) * dx + (p.y - y) * dy) / (dx * dx + dy * dy); + + if (t > 1) { + x = p2.x; + y = p2.y; + + } else if (t > 0) { + x += dx * t; + y += dy * t; + } + } + + dx = p.x - x; + dy = p.y - y; + + return dx * dx + dy * dy; +} +// rest of the code doesn't care about point format + +// basic distance-based simplification +function simplifyRadialDist(points, sqTolerance) { + + var prevPoint = points[0], + newPoints = [prevPoint], + point; + + for (var i = 1, len = points.length; i < len; i++) { + point = points[i]; + + if (getSqDist(point, prevPoint) > sqTolerance) { + newPoints.push(point); + prevPoint = point; + } + } + + if (prevPoint !== point) newPoints.push(point); + + return newPoints; +} + +function simplifyDPStep(points, first, last, sqTolerance, simplified) { + var maxSqDist = sqTolerance, + index; + + for (var i = first + 1; i < last; i++) { + var sqDist = getSqSegDist(points[i], points[first], points[last]); + + if (sqDist > maxSqDist) { + index = i; + maxSqDist = sqDist; + } + } + + if (maxSqDist > sqTolerance) { + if (index - first > 1) simplifyDPStep(points, first, index, sqTolerance, simplified); + simplified.push(points[index]); + if (last - index > 1) simplifyDPStep(points, index, last, sqTolerance, simplified); + } +} + +// simplification using Ramer-Douglas-Peucker algorithm +function simplifyDouglasPeucker(points, sqTolerance) { + var last = points.length - 1; + + var simplified = [points[0]]; + simplifyDPStep(points, 0, last, sqTolerance, simplified); + simplified.push(points[last]); + + return simplified; +} + +// both algorithms combined for awesome performance +export default function simplify(points, tolerance, highestQuality) { + + if (points.length <= 2) return points; + + var sqTolerance = tolerance !== undefined ? tolerance * tolerance : 1; + + points = highestQuality ? points : simplifyRadialDist(points, sqTolerance); + points = simplifyDouglasPeucker(points, sqTolerance); + + return points; +} diff --git a/lib/turf-simplify/package.json b/lib/turf-simplify/package.json new file mode 100644 index 0000000..dc71f58 --- /dev/null +++ b/lib/turf-simplify/package.json @@ -0,0 +1,63 @@ +{ + "name": "@turf/simplify", + "version": "5.1.5", + "description": "turf simplify module", + "main": "main.js", + "module": "main.es.js", + "types": "index.d.ts", + "files": [ + "index.js", + "index.d.ts", + "main.js", + "lib", + "main.es.js" + ], + "scripts": { + "pretest": "rollup -c ../../rollup.config.js", + "test": "node -r @std/esm test.js", + "posttest": "node -r @std/esm ../../scripts/validate-es5-dependencies.js", + "bench": "node -r @std/esm bench.js", + "docs": "node ../../scripts/generate-readmes" + }, + "repository": { + "type": "git", + "url": "git://github.com/Turfjs/turf.git" + }, + "keywords": [ + "turf", + "gis", + "simplify", + "Ramer-Douglas-Peucker", + "algorithm", + "peucker" + ], + "author": "Turf Authors", + "contributors": [ + "Vladimir Agafonkin <@mourner>", + "Stefano Borghi <@stebogit>" + ], + "license": "MIT", + "bugs": { + "url": "https://github.com/Turfjs/turf/issues" + }, + "homepage": "https://github.com/Turfjs/turf", + "devDependencies": { + "@std/esm": "*", + "@turf/truncate": "6.x", + "benchmark": "*", + "load-json-file": "*", + "rollup": "*", + "tape": "*", + "write-json-file": "*" + }, + "dependencies": { + "@turf/clean-coords": "^5.1.5", + "@turf/clone": "6.x", + "@turf/helpers": "6.x", + "@turf/meta": "6.x" + }, + "@std/esm": { + "esm": "js", + "cjs": true + } +} diff --git a/lib/turf-simplify/test.js b/lib/turf-simplify/test.js new file mode 100644 index 0000000..070098c --- /dev/null +++ b/lib/turf-simplify/test.js @@ -0,0 +1,86 @@ +import fs from 'fs'; +import test from 'tape'; +import path from 'path'; +import load from 'load-json-file'; +import write from 'write-json-file'; +import truncate from '@turf/truncate'; +import { polygon, multiPolygon } from '@turf/helpers'; +import simplify from '.'; + +const directories = { + in: path.join(__dirname, 'test', 'in') + path.sep, + out: path.join(__dirname, 'test', 'out') + path.sep +}; + +let fixtures = fs.readdirSync(directories.in).map(filename => { + return { + filename, + name: path.parse(filename).name, + geojson: load.sync(directories.in + filename) + }; +}); +// fixtures = fixtures.filter(({name}) => name.includes('#555')); + +test('simplify', t => { + for (const {filename, name, geojson} of fixtures) { + let {tolerance, highQuality} = geojson.properties || {}; + tolerance = tolerance || 0.01; + highQuality = highQuality || false; + + const simplified = truncate(simplify(geojson, { + tolerance: tolerance, + highQuality: highQuality + })); + + if (process.env.REGEN) write.sync(directories.out + filename, simplified); + t.deepEqual(simplified, load.sync(directories.out + filename), name); + } + + t.end(); +}); + + +test('simplify -- throw', t => { + const poly = polygon([[[0, 0], [2, 2], [2, 0], [0, 0]]]); + t.throws(() => simplify(null), /geojson is required/, 'missing geojson'); + t.throws(() => simplify(poly, {tolerance: -1}), /invalid tolerance/, 'negative tolerance'); + t.end(); +}); + + +test('simplify -- removes ID & BBox from properties', t => { + const properties = {foo: 'bar'}; + const id = 12345; + const bbox = [0, 0, 2, 2]; + const poly = polygon([[[0, 0], [2, 2], [2, 0], [0, 0]]], properties, {bbox, id}); + const simple = simplify(poly, {tolerance: 0.1}); + + t.equal(simple.id, id); + t.deepEqual(simple.bbox, bbox); + t.deepEqual(simple.properties, properties); + t.end(); +}); + + +test('simplify -- issue #555', t => { + // polygons from issue #555 + const poly1 = polygon([[[-75.693254, 45.431144], [-75.693335, 45.431109], [-75.693335, 45.431109], [-75.693254, 45.431144]]]); + const poly2 = polygon([[[-75.627178, 45.438106], [-75.627179, 45.438106], [-75.62718, 45.438106], [-75.627178, 45.438106]]]); + const poly3 = polygon([[[-75.684722, 45.410083], [-75.684641, 45.409989], [-75.684641, 45.409989], [-75.684722, 45.410083], [-75.684722, 45.410083]]]); + const poly4 = polygon([[[-75.885634, 45.272762], [-75.885482, 45.272641], [-75.885554, 45.272596], [-75.885534, 45.272581], [-75.885581, 45.272551], [-75.885703, 45.272647], [-75.885706, 45.272645], [-75.885709, 45.272647], [-75.885767, 45.272693], [-75.885759, 45.272698], [-75.885716, 45.272728], [-75.885716, 45.272728], [-75.885712, 45.272731], [-75.885712, 45.272731], [-75.885708, 45.272734], [-75.885684, 45.272749], [-75.885671, 45.272739], [-75.885634, 45.272762]], [[-75.885708, 45.27273], [-75.885708, 45.272729], [-75.885708, 45.272729], [-75.885708, 45.27273]]]); + const options = {tolerance: 0.000001, highQuality: true}; + + t.throws(() => simplify(poly1, options), /invalid polygon/); + t.throws(() => simplify(poly2, options), /invalid polygon/); + t.throws(() => simplify(poly3, options), /invalid polygon/); + t.throws(() => simplify(poly4, options), /invalid polygon/); + t.end(); +}); + +test('simplify -- issue #918', t => { + // simplify hangs on this input #918 + t.throws(() => simplify(multiPolygon([[[[0, 90], [0, 90], [0, 90], [0, 90], [0, 90], [0, 90], [0, 90], [0, 90], [0, 90], [0, 90], [0, 90]]]])), /invalid polygon/, 'invalid polygon'); + t.throws(() => simplify(multiPolygon([[[[0, 1], [0, 2], [0, 3], [0, 2.5], [0, 1]]]])), /invalid polygon/, 'invalid polygon'); + t.throws(() => simplify(multiPolygon([[[[0, 1], [0, 1], [1, 2], [0, 1]]]])), /invalid polygon/, 'invalid polygon'); + t.end(); +}); diff --git a/lib/turf-simplify/test/in/argentina.geojson b/lib/turf-simplify/test/in/argentina.geojson new file mode 100644 index 0000000..5f5f825 --- /dev/null +++ b/lib/turf-simplify/test/in/argentina.geojson @@ -0,0 +1,455 @@ +{ + "type": "Feature", + "id": "ARG", + "properties": { + "tolerance": 0.1, + "name": "Argentina" + }, + "geometry": { + "type": "Polygon", + "coordinates": [ + [ + [ + -64.964892, + -22.075862 + ], + [ + -64.377021, + -22.798091 + ], + [ + -63.986838, + -21.993644 + ], + [ + -62.846468, + -22.034985 + ], + [ + -62.685057, + -22.249029 + ], + [ + -60.846565, + -23.880713 + ], + [ + -60.028966, + -24.032796 + ], + [ + -58.807128, + -24.771459 + ], + [ + -57.777217, + -25.16234 + ], + [ + -57.63366, + -25.603657 + ], + [ + -58.618174, + -27.123719 + ], + [ + -57.60976, + -27.395899 + ], + [ + -56.486702, + -27.548499 + ], + [ + -55.695846, + -27.387837 + ], + [ + -54.788795, + -26.621786 + ], + [ + -54.625291, + -25.739255 + ], + [ + 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@@ -0,0 +1,88 @@ +{ + "type": "Feature", + "properties": { + "country": "South Africa", + "tolerance": 0.01 + }, + "geometry": { + "type": "MultiPolygon", + "coordinates": [ + [ + [ + [ + 19.41807, + -34.68668 + ], + [ + 19.41455, + -34.68997 + ], + [ + 19.40993, + -34.68798 + ], + [ + 19.41807, + -34.68668 + ] + ] + ], + [ + [ + [ + 19.4188, + -34.67816 + ], + [ + 19.42342, + -34.68024 + ], + [ + 19.41508, + -34.68598 + ], + [ + 19.4188, + -34.67816 + ] + ] + ], + [ + [ + [ + 19.45629, + -34.39274 + ], + [ + 19.55599, + -34.38974 + ], + [ + 19.68811, + -34.76532 + ], + [ + 19.67762, + -34.78188 + ], + [ + 19.63818, + -34.77916 + ], + [ + 19.59412, + -34.73309 + ], + [ + 19.49554, + -34.67162 + ], + [ + 19.45629, + -34.39274 + ] + ] + ] + ] + } +} diff --git a/lib/turf-simplify/test/out/point.geojson b/lib/turf-simplify/test/out/point.geojson new file mode 100644 index 0000000..d5078a1 --- /dev/null +++ b/lib/turf-simplify/test/out/point.geojson @@ -0,0 +1,11 @@ +{ + "type": "Feature", + "properties": {}, + "geometry": { + "type": "Point", + "coordinates": [ + 5, + 1 + ] + } +} diff --git a/lib/turf-simplify/test/out/poly-issue#555-5.geojson b/lib/turf-simplify/test/out/poly-issue#555-5.geojson new file mode 100644 index 0000000..87d63b9 --- /dev/null +++ b/lib/turf-simplify/test/out/poly-issue#555-5.geojson @@ -0,0 +1,59 @@ +{ + "type": "Feature", + "properties": { + "tolerance": 0.00005 + }, + "geometry": { + "type": "Polygon", + "coordinates": [ + [ + [ + -75.788024, + 45.345283 + ], + [ + -75.787931, + 45.345237 + ], + [ + -75.787975, + 45.345143 + ], + [ + -75.787855, + 45.345099 + ], + [ + -75.788023, + 45.345028 + ], + [ + -75.78814, + 45.345236 + ], + [ + -75.788024, + 45.345283 + ] + ], + [ + [ + -75.787933, + 45.345065 + ], + [ + -75.78793, + 45.34506 + ], + [ + -75.78793, + 45.345066 + ], + [ + -75.787933, + 45.345065 + ] + ] + ] + } +} diff --git a/lib/turf-simplify/test/out/polygon.geojson b/lib/turf-simplify/test/out/polygon.geojson new file mode 100644 index 0000000..b6bd7b0 --- /dev/null +++ b/lib/turf-simplify/test/out/polygon.geojson @@ -0,0 +1,30 @@ +{ + "type": "Feature", + "properties": { + "tolerance": 1, + "elevation": 25 + }, + "geometry": { + "type": "Polygon", + "coordinates": [ + [ + [ + -75.51527, + 39.11245 + ], + [ + -75.142602, + 39.875538 + ], + [ + -75.813087, + 39.904921 + ], + [ + -75.51527, + 39.11245 + ] + ] + ] + } +} diff --git a/lib/turf-simplify/test/out/simple-polygon.geojson b/lib/turf-simplify/test/out/simple-polygon.geojson new file mode 100644 index 0000000..bcaf956 --- /dev/null +++ b/lib/turf-simplify/test/out/simple-polygon.geojson @@ -0,0 +1,29 @@ +{ + "type": "Feature", + "properties": { + "tolerance": 100 + }, + "geometry": { + "type": "Polygon", + "coordinates": [ + [ + [ + 26.14843, + -28.297552 + ], + [ + 26.150354, + -28.302606 + ], + [ + 26.135463, + -28.304283 + ], + [ + 26.14843, + -28.297552 + ] + ] + ] + } +} diff --git a/lib/turf-simplify/types.ts b/lib/turf-simplify/types.ts new file mode 100644 index 0000000..5d12b48 --- /dev/null +++ b/lib/turf-simplify/types.ts @@ -0,0 +1,11 @@ +import {polygon, Feature, Polygon} from '@turf/helpers' +import simplify from './' + +const poly = polygon([[[0, 0], [10, 10], [20, 20], [0, 0]]]); + +// Output type is the same as Input type +const simple: Feature = simplify(poly); + +// Extra params +simplify(poly, {tolerance: 1}); +simplify(poly, {tolerance: 1, highQuality: true}); diff --git a/lib/wasm-util/README.md b/lib/wasm-util/README.md new file mode 100644 index 0000000..d51a884 --- /dev/null +++ b/lib/wasm-util/README.md @@ -0,0 +1 @@ +Utility function for handling emscripten modules and transfering arrays to and from module memory. \ No newline at end of file diff --git a/lib/wasm-util/coordinates.js b/lib/wasm-util/coordinates.js new file mode 100644 index 0000000..8d555be --- /dev/null +++ b/lib/wasm-util/coordinates.js @@ -0,0 +1,62 @@ +/* + Utility functions to store and load coordinates to and from module memory + Coordinates are assumed to be an array of coordinate pairs ([[x1,y1], [x2,y2], [x3,y3]]) +*/ + +/** + * Allocate memory for coordinates and stores them in a flat representation. + * Returns a pointer to the buffer. The length of the buffer is coords.length * 2 + * @param {*} module + * @param {Array} coords - An array of coordinate pairs + */ +export function storeCoords(module, coords) { + const buffer = module._malloc(coords.length * 2 * 8) + const heap = new Float64Array(module.HEAPF64.buffer, buffer, coords.length * 2) + for (let i = 0; i < coords.length; i++) { + heap[2*i] = coords[i][0] + heap[2*i + 1] = coords[i][1] + } + return buffer +} + +/** + * Loads coordinates from the memory by the result pointer. + * Frees the resultpointer and the result before returning + * @param {*} module + * @param {*} result - pointer to Uint32 array of length 2. Stores the resultPointer and resultLength + */ +export function loadResultAndFreeMemory(module, result) { + const [resultPointer, resultLength] = new Uint32Array(module.HEAPU32.buffer, result, 2) + const simplified = new Float64Array(module.HEAPF64.buffer, resultPointer, resultLength) + const coords = unflattenCoords(simplified) + module._free(result) + module._free(resultPointer) + return coords +} + +/** + * Loads coordinates from the memory by the result pointer without freeing memory. + * For benchmarking purposes + * @param {*} module + * @param {*} result - pointer to Uint32 array of length 2. Stores the resultPointer and resultLength + */ +export function loadResult(module, result) { + const [resultPointer, resultLength] = new Uint32Array(module.HEAPU32.buffer, result, 2) + const simplified = new Float64Array(module.HEAPF64.buffer, resultPointer, resultLength) + return unflattenCoords(simplified) +} + +/** + * Transforms a flat array to an array coordinate pairs + * @param {Array} flattened - length must be even + */ +export function unflattenCoords (flattened) { + const coords = [] + let x, y + for (let i = 0; i < flattened.length; i += 2) { + x = flattened[i] + y = flattened[i + 1] + coords.push([x, y]) + } + return coords +} diff --git a/lib/wasm-util/initEmscripten.js b/lib/wasm-util/initEmscripten.js new file mode 100644 index 0000000..9f5ea45 --- /dev/null +++ b/lib/wasm-util/initEmscripten.js @@ -0,0 +1,28 @@ +/** + * Promisify emscripten modules + * + * idea taken from squoosh app: https://raw.githubusercontent.com/GoogleChromeLabs/squoosh/master/src/codecs/util.ts + * + * usage: + * // create a global variable to store the initialized module once + * let emscriptenModule + * + * // inside an async function: + * // use the global as cache to the module or initialize it + * if (!emscriptenModule) emscriptenModule = initEmscriptenModule(importedGlueCode, urlToWasmFile) + * const module = await emscriptenModule + */ +export function initEmscriptenModule(moduleFactory, wasmUrl) { + return new Promise (resolve => { + const module = moduleFactory({ + noInitialRun: true, + locateFile: (url) => wasmUrl ? wasmUrl : url, + onRuntimeInitialized () { + // hack: deleting then breaks an infinite loop + // https://github.com/emscripten-core/emscripten/issues/5820 + delete module.then + resolve(module) + } + }) + }) +} diff --git a/scripts/bundle-size.sh b/scripts/bundle-size.sh new file mode 100755 index 0000000..70b8cc9 --- /dev/null +++ b/scripts/bundle-size.sh @@ -0,0 +1,26 @@ +#!/usr/bin/env bash +# Prints the size of a file + gzipped size + +human_print(){ +while read B dummy; do + [ $B -lt 1024 ] && echo ${B} bytes && break + KB=$(((B+512)/1024)) + [ $KB -lt 1024 ] && echo ${KB} kilobytes && break + MB=$(((KB+512)/1024)) + [ $MB -lt 1024 ] && echo ${MB} megabytes && break + GB=$(((MB+512)/1024)) + [ $GB -lt 1024 ] && echo ${GB} gigabytes && break + echo $(((GB+512)/1024)) terabytes +done +} + +export FILE_NAME=$1 + +export UNCOMPRESSED_FILE_SIZE=`wc -c < $FILE_NAME` +export GZIPPED_FILE_SIZE=`gzip -c < $FILE_NAME | wc -c` + +echo "Bundle size: $(echo $UNCOMPRESSED_FILE_SIZE | human_print)" +echo "gzipped size: $(echo $GZIPPED_FILE_SIZE | human_print)" +echo +echo "Machine readable:" +echo "BUNDLE_SIZE: $UNCOMPRESSED_FILE_SIZE,$GZIPPED_FILE_SIZE" diff --git a/thesis/chapters/chapter01.tex b/thesis/chapters/chapter01.tex new file mode 100644 index 0000000..92b69a2 --- /dev/null +++ b/thesis/chapters/chapter01.tex @@ -0,0 +1,13 @@ +% Principles + +\subsection{Polygon basics} + +\subsubsection{Topological aspects} + +\subsection{LineString simplification} + +\subsubsection{Positional errors} + +\subsubsection{Length errors} + +\subsubsection{Area Errors} \ No newline at end of file diff --git a/thesis/chapters/chapter02.tex b/thesis/chapters/chapter02.tex new file mode 100644 index 0000000..ef43c08 --- /dev/null +++ b/thesis/chapters/chapter02.tex @@ -0,0 +1,4 @@ +LineString Simplification. Compression and Heuristics. + +Compare compression analysis too image compression. + diff --git a/thesis/chapters/chapter03.tex b/thesis/chapters/chapter03.tex new file mode 100644 index 0000000..50e87d0 --- /dev/null +++ b/thesis/chapters/chapter03.tex @@ -0,0 +1,27 @@ +Compression algorithms. + +\subsection{n-th point algorithm} + +\subsection{Random-point routine} + +\subsection{Radial distance algorithm} + +\subsection{Perpendicular distance algorithm} + +\subsection{Reumann-Witkam simplification} + +\subsection{Opheim simplification} + +\subsection{Lang simplification} + +\subsection{Douglas-Peucker simplification} + +\subsubsection{with reduction parameter} + +\subsection{Jenks simplification} + +\subsection{Visvalingam-Whyatt simplification} + +\subsection{Zhao-Saalfeld simplification} + +\subsection{Summary} \ No newline at end of file diff --git a/thesis/chapters/chapter04.tex b/thesis/chapters/chapter04.tex new file mode 100644 index 0000000..5a3e3e1 --- /dev/null +++ b/thesis/chapters/chapter04.tex @@ -0,0 +1,50 @@ +% The Web Platform + + + +\subsection{Introduction to Webassembly} + +\todo[inline]{Present WebAssembly} + +\subsubsection{Existing compilers} + +\todo[inline]{Languages from which to compile} +\todo[inline]{emscripten} +\todo[inline]{assemblyscript} +\todo[inline]{rust} + +\subsubsection{Technical hurdles} + +\todo[inline]{Managing memory} +\todo[inline]{passing arrays} + +\subsubsection{Benefits of WebAssembly} + +Why are people going through the hassle of bringing machine code to a platform with a working scripting engine. Is javascript really that aweful. It is often stated that WebAssembly can bring performance benefits. It makes sense that statically typed machine code beats scripting languages performance wise. It has to be observed however if the overhead of switching contexts will neglect this performance gain. Javascript has made a lot of performance improvements over the past years. Not at least Googles development on the V8 engine has brought Javascript to an acceptable speed for extensive calculations. The engine observes the execution of running javascript code and will perform optimizations that can be compared to optimizations of compilers. + +\todo[inline]{Get chart and source of js performance} +\todo[inline]{Source for V8 performance observation} + +The javascript ecosystem has rapidly evolved the past years. Thanks to package managers like bower, npm and yarn it is super simple to pull code from external sources into ones codebase. In course of this growth many algorithms and implementations have been ported to javascript for use on the web. After all it is however not more then that. A port splits communities and contradicts the DRY principle. With WebAssembly existing work of many programmers can be reused as is for usage on the web. This is the second benefit proposed by the technology. Whole libraries exclusive for native development could be imported by a few simple tweaks. Codecs not supported by browsers can be made available for use in any browser supporting WebAssembly. One example could be the promising AV1 codec + +\todo[inline]{more about av1} + +To summarize the two main benefits that are expected from WebAssembly are perfomance and integration. In this thesis these two benefits will be tested. + + +\subsection{Two test cases - performance and integration} + +The benefits that WebAssembly promises shall be tested in two seperate Webpages. One for the performance measurements and one to test the integration of existing libraries. + +\paragraph{Performance} + +As it is the most applicated algorithm the Douglas-Peucker algorithm will be used for measuring performance. A Javascript implementation is quickly found. simplifyJS. It is the package used by Turf, the most used for geospatial calculations. To produce comparable results the implementation will be based on this package. Since WebAssembly defines a compilation goal several languages can be used for this test. + +\todo[inline]{source for simplify JS} +\todo[inline]{source for turf} + +\paragraph{Integration} + +An existing implementation of several simplification algorithms has found in the C++ ecosystem. psimpl implements x algorithms distributed as a single header file. It also provides a function for measuring positional errors making it ideal for use in a quality analysis tool for those algorithms. + + diff --git a/thesis/chapters/chapter05.tex b/thesis/chapters/chapter05.tex new file mode 100644 index 0000000..6ffcbb2 --- /dev/null +++ b/thesis/chapters/chapter05.tex @@ -0,0 +1,39 @@ +% Performance benchmark + +In this chapter i will explain the approach to improve the performance of a simplification algorithm in a web browser via WebAssembly. The go-to library for this kind of operation is simplifyJS. It is the javascript implementation of the Douglas-Peucker algorithm with optional radial distance preprocessing. The library will be rebuilt in the C programming language and compiled to Webassembly with emscripten. A webpage is built to produce benchmarking insights to compare the two approaches performance wise. + +\subsection{State of the art: simplifyJS} +% simplifyJS + turf + +Simplify.JS calls itself a "tiny high-performance JavaScript polyline simplification library. It was extracted from Leaflet, the "leading open-source JavaScript library for mobile-friendly interactive maps". Due to its usage in leaflet and Turf.js, a geospatial analysis library, it is the most common used library for polyline simplification. + +The library itself has currently 20,066 weekly downloads while the Turf.js derivate @turf/simplify has 30,389. + +The Douglas-Peucker algorithm is implemented with an optional radial distance preprocessing routine. This preprocessing trades performance for quality. Thus the mode for disabling this routine is called "highest quality". + +Interestingly the library expects coordinates to be a list of object with x and y properties. \todo{reference object vs array form} GeoJSON and TopoJSON however store Polylines in nested array form. Luckily since the library is small and written in javascript any skilled webdeveloper can easily fork and modify the code for his own purpose. This is even pointed out in the source code. The fact that Turf.js, which can be seen as a convenience wrapper for processing GeoJSON data, decided to keep the library as is might indicate a performance benefit to this format. Listing \ref{lst:turf-transformation} shows how Turf.js calls Simplify.js. Instead of altering the source code the data is transformed back and forth between the formats on each call as it is seen in listing. It is questionable if this practice is advisable at all. + +\lstinputlisting[ + float, floatplacement=H, + language=javascript, + firstline=116, lastline=122, + caption=Turf.js usage of simplify.js, + label=lst:turf-transformation +]{../lib/turf-simplify/index.js} + +Since it is not clear which case is faster, and given how simple the required changes are, two versions of Simplify.js will be tested: the original version, which expects the coordinates to be in array-of-objects form and the altered version, which operates on nested arrays. Listing \ref{lst:diff-simplify.js} shows an extract of the changes performed on the library. Instead of using properties, the coordinate values are accessed by index. Except for the removal of the lisencing header the alterations are restricted to these kind of changes. The full list of changes can be viewed in \texttt{lib/simplify-js-alternative/simplify.diff}. + + +\lstinputlisting[ + float, floatplacement=H, + language=diff, + firstline=11, lastline=16, + caption=Snippet of the difference between the original Simplify.js and alternative, + label=lst:diff-simplify.js +]{../lib/simplify-js-alternative/simplify.diff} + +\subsection{The webassembly solution} + +Just like the simplify-js library the webassembly solution requires the data to be transformed for processing. Meant with that is the storing and loading of bytes into and from the module heap. This transformations however are intensive ones and not as easy to overcome. In a larger project the data may already be managed in a webassembly module. So the raw execution time might be relevant as well. To make assumptions about the real-world usage of WebAssembly in this case there will be seperate measurements for storing and loading of data and the execution. + +\subsection{The implementation} \ No newline at end of file diff --git a/thesis/chapters/chapter06.tex b/thesis/chapters/chapter06.tex new file mode 100644 index 0000000..9d1b6d7 --- /dev/null +++ b/thesis/chapters/chapter06.tex @@ -0,0 +1,11 @@ +\subsection{State of the art: psimpl} + +\subsection{Compiling to webassembly} + +\subsubsection{Introduction to emscripten} + +\subsection{Preserving topology GeoJSON vs TopoJSON} + +\todo[inline]{object form vs array form} + +\subsection{The implementation} \ No newline at end of file diff --git a/thesis/chapters/conclusion.tex b/thesis/chapters/conclusion.tex new file mode 100644 index 0000000..4adbb06 --- /dev/null +++ b/thesis/chapters/conclusion.tex @@ -0,0 +1 @@ +Enhancement: Line Smoothing as preprocessing step diff --git a/thesis/chapters/introduction.tex b/thesis/chapters/introduction.tex new file mode 100644 index 0000000..12d2362 --- /dev/null +++ b/thesis/chapters/introduction.tex @@ -0,0 +1,36 @@ +% Introduction + +% Fragestellung & Zielsetzung - aim & research objectives +% Forschungsstand - +% Vorgehensweise +% Inhalt + +% Why important, who participants, trends, + + + +Compression of polygonal data structures is the task of simplifying geometries while preseving topological characteristics. The simplification often takes the form of removing points that make up the geometry. There are several solutions that tackle the problem in different ways. This thesis aims to compare and classify these solutions by various heuristics. Performance and compression rate are quantitative heuristic used. Positional, length and area errors will also be measured to quantify simplification errors. Qualitative heuristics will be determined by a user study. With the rising trend of moving desktop applications to the web platform also geographic information systems (GIS) have experienced the shift towards web browsers [example ESRI Web Gis]. Performance is critical in these applications. Since simplification is an important factor to performance the solutions will be tested by constructing a web application using a technology called WebAssembly. + + +\subsection{Binary instruction sets on the web platform} + +The recent development of WebAssembly allows code written in various programming languages to be run natively in web browsers. A privilege thus far only granted to the Javascript programming language. The goals of WebAssembly are to define a binary instruction format as a compilation target to execute code at native speed and taking advantage of common hardware capabilities [web-source wasm]. The integration into the web platform brings portability to a wide range of platforms like mobile and internet of things (IoT). The usage of this technology promises performance gains that will be tested by this thesis. The results can give conclusions to whether WebAssembly is worth a consideration for web applications with geographic computational aspects. WebGIS is an example technology that would benefit greatly of such an advancement. Thus far WebAssembly has been shipped to the stable version of the four most used browser engines [source]. The mainly targeted high-level languages for compilation are C and C++ [wasm-specs]. Also a compiler for Rust has been developed [rust-wasm working group]. It will be explored how existing implementations could easily be adopted when using a compiler. + +\subsection{Performance as important factor for web applications} + +Performance is one of the factors users complain the most about in websites. [Some study] shows that insufficient UI-performance is the main reason for negative user experience. [Another study] states that users will immediately leave websites after only 2 seconds of unresponsiveness. There has been a rapid growth of complex applications running in web-browsers [source]. These so called progressive web apps (PWA) combine the fast reachability of web pages with the feature richness of locally installed applications. Even though these applications can grow quire complex, the requirement for fast page loads and short time to user interaction still remains. One way to cope this need is the use of compression algorithms to reduce the amount of data transmitted and processed. Compression can be lossless. This is often used for the purpose of data transmission. Web servers use lossless compression algorithms like gzip to deflate data. Browsers that implement these algorithms can then fully restore the requested ressources resulting in lower bandwidth usage. Another form of compression removes information of the data in a way that cannot be restored. This is called lossy compression. The most common usage on the web is the compression of image data. + +\subsection{Topology simplification for rendering performance} + +While compression is often used to minimize bandwidth usage the compression of geospatial data can particulary influence rendering performance. The bottleneck for rendering often is the svg transformation used to display topology on the web [source]. Implementing simplification algorithms for use on the web platform can lead to smoother user experience when working with large geodata sets. + +\subsection{Structure of this thesis} + +This thesis is structured into a theoretical and a practical component. First the theoretical principles will be reviewed. Topology of polygonal data will be explained as how to store geodata. Also the fundamentals of LineString simplification will be covered. + +Then a number of algorithms will be introduced. In this section the each algorithm will be dissected by complexity, characteristics and the possible influence to the heuristics mentioned above. + +In the fourth chapter the practical implementation will be presented. This section will dig deeper in several topics important to web development. Such as single page applications, WebAssembly and how web workers will be used for asynchronous execution. The developed application will aim to implement modern best practices in web development such fast time to first user interaction and deferred loading of modules. + +The fifth chapter explains how performance will be measured in the web application. After presenting the +results the concluion chapter will finish the thesis. diff --git a/thesis/chapters/results.tex b/thesis/chapters/results.tex new file mode 100644 index 0000000..b188ca5 --- /dev/null +++ b/thesis/chapters/results.tex @@ -0,0 +1,3 @@ +\subsection{Benchmark results} + +\subsection{Comparing the results of different algorithms} \ No newline at end of file diff --git a/thesis/custom-listing.tex b/thesis/custom-listing.tex new file mode 100644 index 0000000..4642a30 --- /dev/null +++ b/thesis/custom-listing.tex @@ -0,0 +1,140 @@ +\definecolor{mygreen}{rgb}{0,0.6,0} +\definecolor{mygray}{rgb}{0.5,0.5,0.5} +\definecolor{mymauve}{rgb}{0.58,0,0.82} +\definecolor{darkgray}{rgb}{.4,.4,.4} +\definecolor{purple}{rgb}{0.65, 0.12, 0.82} + +% === Customize a bit the look === +\lstset{ % + backgroundcolor=\color{white}, % choose the background color; you must add \usepackage{color} or \usepackage{xcolor} + basicstyle=\footnotesize, % the size of the fonts that are used for the code + breakatwhitespace=false, % sets if automatic breaks should only happen at whitespace + breaklines=true, % sets automatic line breaking + captionpos=b, % sets the caption-position to bottom + commentstyle=\color{mygreen}, % comment style + deletekeywords={...}, % if you want to delete keywords from the given language + escapeinside={\%*}{*)}, % if you want to add LaTeX within your code + extendedchars=true, % lets you use non-ASCII characters; for 8-bits encodings only, does not work with UTF-8 + frame=single, % adds a frame around the code + keepspaces=true, % keeps spaces in text, useful for keeping indentation of code (possibly needs columns=flexible) + keywordstyle=\color{blue}, % keyword style + % language=Octave, % the language of the code + morekeywords={*,...}, % if you want to add more keywords to the set + numbers=left, % where to put the line-numbers; possible values are (none, left, right) + numbersep=5pt, % how far the line-numbers are from the code + numberstyle=\tiny\color{mygray}, % the style that is used for the line-numbers + rulecolor=\color{black}, % if not set, the frame-color may be changed on line-breaks within not-black text (e.g. comments (green here)) + showspaces=false, % show spaces everywhere adding particular underscores; it overrides 'showstringspaces' + showstringspaces=false, % underline spaces within strings only + showtabs=false, % show tabs within strings adding particular underscores + stepnumber=1, % the step between two line-numbers. If it's 1, each line will be numbered + stringstyle=\color{mymauve}, % string literal style + tabsize=2, % sets default tabsize to 2 spaces + title=\lstname, % show the filename of files included with \lstinputlisting; also try caption instead of title + aboveskip=1em, + belowskip=1em +} +% END of listing package + +% === define Javascript language === +\lstdefinelanguage{JavaScript}{ + keywords={typeof, new, true, false, catch, function, return, null, catch, switch, var, if, in, while, do, else, case, break}, + keywordstyle=\color{blue}\bfseries, + ndkeywords={class, export, boolean, throw, implements, import, this}, + ndkeywordstyle=\color{darkgray}\bfseries, + identifierstyle=\color{black}, + sensitive=false, + comment=[l]{//}, + morecomment=[s]{/*}{*/}, + commentstyle=\color{purple}\ttfamily, + stringstyle=\color{red}\ttfamily, + morestring=[b]', + morestring=[b]" +} + +\lstset{ + language=JavaScript, + extendedchars=true, + basicstyle=\footnotesize\ttfamily, + showstringspaces=false, + showspaces=false, + numbers=left, + numberstyle=\footnotesize, + numbersep=9pt, + tabsize=2, + breaklines=true, + showtabs=false, + captionpos=b +} + +% === define diff === + +\lstdefinelanguage{diff}{ + sensitive=true, + % diff command line + morecomment=[f][\color{gray}][0]{diff}, + % commit identifiers for git diff + morecomment=[f][\color{gray}][0]{index}, + % hunk location/line numbers for unified format + morecomment=[f][\color{blue}][0]{@@}, + % hunk location/line numbers for context format + morecomment=[f][\color{magenta}][0]{***}, + % changed line for context format + morecomment=[f][\color{violet}][0]{!}, + % deleted lines for unified format + morecomment=[f][\color{red!60!black}][0]-, + % added lines for unified format + morecomment=[f][\color{green!60!black}][0]+, + % file name and time stamp old file + morecomment=[f][\color{magenta}][0]{---}, + % file name and time stamp new file + morecomment=[f][\color{magenta}][0]{+++}, + % Binary files ... differ + morecomment=[f][\color{gray}][0]{Binary}, + % Only in ...: file.txt + morecomment=[f][\color{gray}][0]{Only}, + % old mode ... + morecomment=[f][\color{gray}][0]{old}, + % new mode ... + morecomment=[f][\color{gray}][0]{new}, + % rename from/to ... + morecomment=[f][\color{gray}][0]{rename}, + % similarity index ...% + morecomment=[f][\color{gray}][0]{similarity}, + % deleted file mode ...% + morecomment=[f][\color{gray}][0]{deleted}, + % hunk separator for context format + morecomment=[f][\color{magenta}][0]{***************}, + % deleted lines for normal format + morecomment=[f][\color{red!60!black}][0]<, + % added lines for normal format + morecomment=[f][\color{green!60!black}][0]>, + % line number specifier for normal format + morecomment=[f][\color{blue}][0]{0}, + % line number specifier for normal format + morecomment=[f][\color{blue}][0]{1}, + % line number specifier for normal format + morecomment=[f][\color{blue}][0]{2}, + % line number specifier for normal format + 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