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Remove unecessary files

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This commit is contained in:
Alfred Melch 2019-08-25 13:54:27 +02:00
parent eeb5c01980
commit a6800d60d1
106 changed files with 3 additions and 25349 deletions
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7
compare-algorithms/.babelrc
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{
"presets": ["@babel/preset-react"],
"plugins": [
["@babel/plugin-proposal-decorators", { "legacy": true }],
["@babel/plugin-proposal-class-properties", { "loose": true }]
]
}

10270
compare-algorithms/package-lock.json generated
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46
compare-algorithms/package.json
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{
"name": "compare-algorithms",
"version": "0.1.0",
"description": "",
"main": "src/index.js",
"scripts": {
"build": "webpack",
"serve": "webpack serve",
"test": "echo \"Error: no test specified\" && exit 1",
"lint": "prettier --check '**/*.js'",
"format": "prettier --write '**/*.js'"
},
"author": "Alfred Melch (dev@melch.pro)",
"license": "ISC",
"devDependencies": {
"@babel/core": "^7.5.5",
"@babel/plugin-proposal-class-properties": "^7.5.5",
"@babel/plugin-proposal-decorators": "^7.4.4",
"@babel/preset-env": "^7.5.5",
"@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",
"css-loader": "^3.1.0",
"file-loader": "^4.1.0",
"prettier": "^1.18.2",
"react-hot-loader": "^4.12.8",
"style-loader": "^0.23.1",
"url-loader": "^2.1.0",
"webpack": "^4.36.1",
"webpack-cli": "^3.3.6",
"webpack-dev-server": "^3.7.2"
},
"dependencies": {
"computed-async-mobx": "^4.1.1",
"file-drop-element": "^0.2.0",
"leaflet": "^1.5.1",
"mobx": "^5.13.0",
"mobx-react": "^6.1.1",
"mobx-utils": "^5.4.1",
"react": "^16.8.6",
"react-dom": "^16.8.6",
"react-leaflet": "^2.4.0"
}
}

17
compare-algorithms/public/index.html
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<html lang="en">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<meta http-equiv="X-UA-Compatible" content="ie=edge" />
<title>Document</title>
<link rel="stylesheet" href="./style.css" />
</head>
<body>
<header><h1>Simplify GeoJSON</h1></header>
<div id="map"></div>
<main id="root"></main>
<footer>Footer</footer>
<script src="./bundle.js"></script>
</body>
</html>

71
compare-algorithms/public/style.css
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html,
body {
margin: 0;
padding: 0;
font-family: Arial, Helvetica, sans-serif;
}
body {
display: flex;
flex-direction: column;
min-height: 100vh;
}
main {
flex: 1;
display: flex;
flex-wrap: wrap;
}
.leaflet-container {
flex: 2;
min-width: 300px;
min-height: 60vh;
}
#options {
flex: 1;
min-width: 300px;
}
file-drop {
position: relative;
box-sizing: border-box;
display: block;
padding: 10px;
background-color: rgba(245, 234, 174, 0.2);
overflow: hidden;
touch-action: none;
}
file-drop::after {
content: '';
position: absolute;
display: block;
left: 2px;
top: 2px;
right: 2px;
bottom: 2px;
border: 2px dashed #fff;
background-color: rgba(88, 116, 88, 0.2);
border-color: rgba(65, 129, 65, 0.5);
border-radius: 10px;
opacity: 0;
transform: scale(0.95);
transition: all 200ms ease-in;
transition-property: transform, opacity;
pointer-events: none;
}
.drop-valid::after {
opacity: 1;
transform: scale(1);
transition-timing-function: ease-out;
}
.drop-invalid::after {
background-color: rgba(255, 27, 27, 0.2);
border-color: rgba(255, 170, 170, 0.5);
opacity: 1;
transform: scale(1);
transition-timing-function: ease-out;
}

60
compare-algorithms/src/algorithms/Algorithm.js
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import { computed } from 'mobx'
export class Algorithm {
constructor(name, id, method) {
this.name = name
this.id = id
this.method = method
this.fields = []
}
addField(fieldDesc) {
this.fields.push(fieldDesc)
}
@computed
get params() {
this.fields.map(f => f.value)
}
async simplifyLine(coords, params) {
return this.method(coords, ...params)
}
async simplifyPolygon(coords, params) {
return await Promise.all(
coords.map(ring => this.simplifyLine(ring, params))
)
}
async simplifyGeoJSON(geojson, params) {
// clone geojson
let simplified = JSON.parse(JSON.stringify(geojson))
for (let feature of simplified.features) {
let geom = feature.geometry
let coords = geom.coordinates
switch (geom.type) {
case 'Point':
case 'MultiPoint':
break
case 'LineString':
geom['coordinates'] = await this.simplifyLine(coords, params)
break
case 'MultiLineString':
geom['coordinates'] = await Promise.all(
coords.map(line => this.simplifyLine(line, params))
)
break
case 'Polygon':
geom['coordinates'] = await this.simplifyPolygon(coords, params)
break
case 'MultiPolygon':
geom['coordinates'] = await Promise.all(
coords.map(poly => this.simplifyPolygon(poly, params))
)
}
}
return simplified
}
simplifyTopoJSON(data, params) {}
}

32
compare-algorithms/src/algorithms/Field.js
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import { observable } from 'mobx'
class Field {
@observable
value
constructor(name, id, type, props, initialValue) {
this.name = name
this.id = id
this.type = type
this.props = props || {}
this.value = initialValue
}
}
export class Range extends Field {
constructor(name, id, min, max, step, value) {
super(name, id, 'range', { min, max, step }, value)
}
}
export class Checkbox extends Field {
constructor(name, id, checked) {
super(name, id, 'checkbox', {}, checked)
}
}
export class ToleranceRange extends Range {
constructor(name = 'Tolerance', id = 'tol') {
super(name, id, 0.001, 1, 0.001, 0.2)
}
}

115
compare-algorithms/src/algorithms/index.js
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import {
simplify_nth_point,
simplify_radial_distance,
simplify_perpendicular_distance,
simplify_reumann_witkam,
simplify_opheim,
simplify_lang,
simplify_douglas_peucker,
simplify_douglas_peucker_n
} from '../../../lib/psimpl-js/index.js'
import SimplifyJS from '../../../lib/simplify-js-alternative/simplify.js'
import { simplifyWasm } from '../../../lib/simplify-wasm/index.js'
import { Range, ToleranceRange, Checkbox } from './Field.js'
import { Algorithm } from './Algorithm.js'
class NthPoint extends Algorithm {
constructor() {
super('Nth Point', 'nth_point', simplify_nth_point)
this.addField(new Range('n', 'n', 1, 15, 1, 3))
}
}
class RadialDistance extends Algorithm {
constructor() {
super('RadialDistance', 'rad_dist', simplify_radial_distance)
this.addField(new ToleranceRange())
}
}
class PerpendicularDistance extends Algorithm {
constructor() {
super(
'Perpendicular Distance',
'perp_dist',
simplify_perpendicular_distance
)
this.addField(new ToleranceRange())
this.addField(new Range('Repeat', 'repeat', 1, 10, 1, 3))
}
}
class ReumannWitkam extends Algorithm {
constructor() {
super('Reuman-Witkam Algorithm', 'reumann_witkam', simplify_reumann_witkam)
this.addField(new ToleranceRange())
}
}
class Opheim extends Algorithm {
constructor() {
super('Opheim Algorithm', 'opheim', simplify_opheim)
this.addField(new ToleranceRange('Minimum Tolerance', 'minTol'))
this.addField(new ToleranceRange('Maximum Tolerance', 'maxTol'))
}
}
class Lang extends Algorithm {
constructor() {
super('Lang Algorithm', 'lang', simplify_lang)
this.addField(new ToleranceRange())
this.addField(new Range('Look ahead', 'lookAhead', 2, 100, 1, 5))
}
}
class DouglasPeucker extends Algorithm {
constructor() {
super(
'Douglas Peucker Algorithm',
'dougles_peucker',
simplify_douglas_peucker
)
this.addField(new ToleranceRange())
}
}
class DouglasPeuckerAlt extends Algorithm {
constructor() {
super(
'Douglas Peucker Alt. Algorithm',
'dougles_peucker_n',
simplify_douglas_peucker_n
)
this.addField(new Range('Count', 'count', 1, 2000, 1, 1000))
}
}
class SimplifyJSAlgo extends Algorithm {
constructor() {
super('Simplify.js', 'simplify_js', SimplifyJS)
this.addField(new ToleranceRange())
this.addField(new Checkbox('High Quality', 'highQual', false))
}
}
class SimplifyWASMAlgo extends Algorithm {
constructor() {
super('Simplify.wasm', 'simplify_wasm', simplifyWasm)
this.addField(new ToleranceRange())
this.addField(new Checkbox('High Quality', 'highQual', true))
}
}
export default [
new NthPoint(),
new RadialDistance(),
new PerpendicularDistance(),
new ReumannWitkam(),
new Opheim(),
new Lang(),
new DouglasPeucker(),
new DouglasPeuckerAlt(),
new SimplifyJSAlgo(),
new SimplifyWASMAlgo()
]

38
compare-algorithms/src/components/DataSelector.js
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import 'file-drop-element'
import React from 'react'
import { observer } from 'mobx-react'
import state from '../state'
async function readFile(file) {
return new Promise(resolve => {
let reader = new FileReader()
reader.readAsText(file)
reader.onload = function() {
resolve(this.result)
}
})
}
@observer
export class DataSelector extends React.Component {
componentDidMount() {
let drop = document.getElementsByTagName('file-drop')[0]
drop.addEventListener('filedrop', e => {
let file = e.files[0]
state.originalName = file.name
readFile(file).then(text => {
state.originalText = text
})
})
}
render() {
return (
<>
<h2>Data</h2>
<file-drop accept="application/geo+json">Drop GeoJSON here!</file-drop>
</>
)
}
}

41
compare-algorithms/src/components/LayerControl.js
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import React from 'react'
import { observer } from 'mobx-react'
import state from '../state'
@observer
export class LayerControl extends React.Component {
render() {
return (
<>
<h3>Layers</h3>
<ul>
<li>
<label>
<input
name="originalActive"
type="checkbox"
checked={state.originalActive}
onChange={() => (state.originalActive = !state.originalActive)}
></input>
Original: {state.originalName}
</label>
</li>
<li>
<label>
<input
name="simplifiedActive"
type="checkbox"
checked={state.simplifiedActive}
onChange={() =>
(state.simplifiedActive = !state.simplifiedActive)
}
></input>
Simplified
</label>
</li>
</ul>
</>
)
}
}

39
compare-algorithms/src/components/MyMap.js
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import React from 'react'
import { Map, TileLayer, GeoJSON } from 'react-leaflet'
import { observer } from 'mobx-react'
import 'leaflet/dist/leaflet.css'
import state from '../state.js'
const tileLayers = {
nons: <></>,
osmDE: (
<TileLayer
url="https://{s}.tile.openstreetmap.de/tiles/osmde/{z}/{x}/{y}.png"
attribution='&copy; <a href="https://www.openstreetmap.org/copyright">OpenStreetMap</a> contributors'
/>
),
osmMapnik: (
<TileLayer
url="https://{s}.tile.openstreetmap.org/{z}/{x}/{y}.png"
attribution='&copy; <a href="https://www.openstreetmap.org/copyright">OpenStreetMap</a> contributors'
/>
)
}
@observer
export class MyMap extends React.Component {
render() {
return (
<Map center={[0, 0]} zoom={2}>
{tileLayers[state.tileLayer]}
{state.originalActive && (
<GeoJSON key={state.originalText} data={state.original} />
)}
{state.simplifiedActive && (
<GeoJSON key={state.simplifiedText} data={state.simplified} />
)}
</Map>
)
}
}

9
compare-algorithms/src/components/RangeInput.css
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.range-input label {
display: grid;
grid-template-columns: 1fr auto;
}
.range-input input {
grid-row: 2/3;
grid-column: 1/3;
}

67
compare-algorithms/src/components/RangeInput.js
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import React from 'react'
import './RangeInput.css'
export class RangeInput extends React.Component {
constructor(props) {
super(props)
this.state = {
rangeValue: props.value
? this.indexOfValue(props.value)
: Math.floor((this.length - 1) / 2)
}
this.handleChange = this.handleChange.bind(this)
}
get options() {
let { min, max, step } = this.props
let arr = []
if (step <= 0 || max < min) return []
for (min; min <= max; min += step) {
arr.push(min)
}
return arr.map(val => Math.round(val * 10000) / 10000)
}
get length() {
return this.options.length
}
get realValue() {
return this.options[this.state.rangeValue]
}
indexOfValue(value) {
let i = 0
for (let opt of this.options) {
if (opt >= value) return i
i++
}
return i
}
handleChange(e) {
this.setState({ rangeValue: e.target.value })
if (this.props.onChange) {
this.props.onChange(this.options[e.target.value])
}
}
render() {
return (
<div className="range-input">
<label>
<span>{this.props.label ? this.props.label : this.props.name}:</span>
<span>{Number(this.realValue.toFixed(2))}</span>
<input
type="range"
min={0}
max={this.length - 1}
value={this.state.rangeValue}
onChange={this.handleChange}
/>
</label>
</div>
)
}
}

73
compare-algorithms/src/components/SimplificationControl.js
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import React from 'react'
import { observer } from 'mobx-react'
import algorithms from '../algorithms/index.js'
import { RangeInput } from './RangeInput.js'
import state from '../state.js'
const FieldComponent = observer(({ field }) => {
switch (field.type) {
case 'range':
let { name, id } = field
return (
<RangeInput
name={name}
label={id}
{...field.props}
value={field.value}
onChange={val => (field.value = val)}
/>
)
case 'checkbox':
return (
<>
{field.name}
<input
type="checkbox"
onChange={e => (field.value = e.target.checked)}
checked={field.value}
/>
</>
)
default:
return <span>Error: Field type {field.type} not known.</span>
}
})
const Options = ({ fields }) => {
return (
<fieldset>
{fields.map((field, i) => (
<FieldComponent key={i} field={field} />
))}
</fieldset>
)
}
@observer
export class SimplificationControl extends React.Component {
render() {
return (
<>
<h3>Simplification</h3>
<select
name="algorithm"
value={state.algorithmId}
onChange={e => (state.algorithmId = e.target.value)}
>
{algorithms.map((algo, i) => (
<option key={i} value={algo.id}>
{algo.name}
</option>
))}
</select>
{algorithms.map((algo, i) => (
<div key={i} hidden={!(algo === state.selectedAlgorithm)}>
<Options fields={algo.fields} />
</div>
))}
</>
)
}
}

29
compare-algorithms/src/components/TileLayerControl.css
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fieldset.radio-grp {
border: none;
}
/* .radio-grp input[type='radio'] {
display: none;
} */
.radio-grp input[type='radio']:focus + label {
outline: 1px;
}
.radio-grp label {
display: block;
padding: 10px 20px;
font-size: 16px;
border-radius: 2px;
background-color: #ddd;
border: 1px solid #444;
}
.radio-grp label.selected {
background-color: rgb(175, 243, 255);
border-color: rgb(75, 174, 240);
}
.radio-grp label:hover {
background-color: rgb(144, 208, 250);
}

51
compare-algorithms/src/components/TileLayerControl.js
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import React from 'react'
import { observer } from 'mobx-react'
import state from '../state.js'
import './TileLayerControl.css'
const RadioButton = ({ option, selected, fullName }) => {
return (
<label className={option === selected ? 'selected' : ''}>
<input
type="radio"
name="tileLayer"
value={option}
checked={option === selected}
onChange={() => {}}
/>
{fullName ? fullName : option}
</label>
)
}
@observer
export class TileLayerControl extends React.Component {
render() {
return (
<>
<h3>Background Layer</h3>
<fieldset
className="radio-grp"
onChange={e => (state.tileLayer = e.target.value)}
>
<RadioButton
option="none"
selected={state.tileLayer}
fullName="None"
/>
<RadioButton
option="osmDE"
selected={state.tileLayer}
fullName="OpenStreetMap DE"
/>
<RadioButton
option="osmMapnik"
selected={state.tileLayer}
fullName="OpenStreetMap Mapnik"
/>
</fieldset>
</>
)
}
}

27
compare-algorithms/src/index.js
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import React, { Component } from 'react'
import ReactDOM from 'react-dom'
import { TileLayerControl } from './components/TileLayerControl.js'
import { DataSelector } from './components/DataSelector.js'
import { LayerControl } from './components/LayerControl.js'
import { SimplificationControl } from './components/SimplificationControl.js'
import { MyMap } from './components/MyMap.js'
class App extends Component {
render() {
return (
<>
<MyMap />
<div id="options">
<h2>Options</h2>
<TileLayerControl />
<DataSelector />
<LayerControl />
<SimplificationControl />
</div>
</>
)
}
}
ReactDOM.render(<App />, document.getElementById('root'))

46
compare-algorithms/src/state.js
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import { observable, computed } from 'mobx'
import { asyncComputed } from 'computed-async-mobx'
import algorithms from './algorithms/index.js'
class State {
@observable tileLayer = 'osmDE'
@observable originalActive = true
@observable simplifiedActive = true
@observable algorithmId = 'nth_point'
@observable topoJSON = false
@computed
get selectedAlgorithm() {
return algorithms.filter(algo => algo.id === this.algorithmId)[0]
}
@computed
get algoParams() {
return this.selectedAlgorithm.fields.map(f => f.value)
}
@observable originalText = '{"type": "FeatureCollection", "features": []}'
@observable originalName = ''
@computed
get original() {
return JSON.parse(this.originalText)
}
simplifiedPromise = asyncComputed(this.original, 500, async () => {
return await this.selectedAlgorithm.simplifyGeoJSON(
this.original,
this.algoParams
)
})
@computed
get simplified() {
return this.simplifiedPromise.get()
}
@computed
get simplifiedText() {
return JSON.stringify(this.simplified)
}
}
export default new State()

46
compare-algorithms/webpack.config.js
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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: {
rules: [
{
test: /\.js$/,
loaders: ['babel-loader'],
exclude: [/node_modules/, /data/]
},
{
test: /\.css$/,
use: ['style-loader', 'css-loader']
},
{
test: /\.(png|jpg|gif)$/,
use: ['url-loader']
},
{
test: /\.wasm$/,
type: 'javascript/auto',
loader: 'file-loader',
options: {
name: '[name].[hash:5].[ext]'
}
}
]
},
plugins: [new CleanWebpackPlugin(), new CopyPlugin(['public'])],
devtool: 'source-map',
// to make webpack work with emscripten js files
target: 'web',
node: {
__dirname: false,
fs: 'empty',
Buffer: false,
process: false
}
}

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data/germany-al4-land.geojson
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data/germany-al4-water.geojson
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13
lib/psimpl-js/Makefile
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OPTIMIZE="-O3"
psimpl.wasm psimpl.js: psimpl.cpp
emcc \
${OPTIMIZE} \
--bind \
--closure 1 \
-s WASM=1 \
-s ALLOW_MEMORY_GROWTH=1 \
-s MODULARIZE=1 \
-s EXPORT_ES6=1 \
-o psimpl.js \
psimpl.cpp

39
lib/psimpl-js/example.html
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<html lang="en">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<meta http-equiv="X-UA-Compatible" content="ie=edge" />
<title>Document</title>
</head>
<body>
<div>Original array: <span id="src">Loading...</span></div>
<div>Simplified array: <span id="dest">Loading...</span></div>
<script type="module">
import moduleFactory from './psimpl.js'
import { storeCoords, unflattenCoords } from '../wasm-util/coordinates.js'
const module = moduleFactory()
const data = [
[0, 0],
[1, 1],
[1, 2],
[2, 2],
[5, 5],
[5, 0],
[6, 10],
[10, 10]
]
document.getElementById('src').innerText = JSON.stringify(data)
module.onRuntimeInitialized = async _ => {
const buffer = storeCoords(module, data)
const result = module.douglas_peucker(buffer, data.length * 2, 2)
module._free(buffer)
const simplified = unflattenCoords(result)
document.getElementById('dest').innerText = JSON.stringify(simplified)
}
</script>
</body>
</html>

84
lib/psimpl-js/index.js
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/*
This file is meant to be processed in the context of an asset bundler.
Specifically the import of 'psimpl.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 'psimple.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 './psimpl.js'
import wasmUrl from './psimpl.wasm'
import { initEmscriptenModule } from '../../lib/wasm-util/initEmscripten.js'
import {
storeCoords,
unflattenCoords
} from '../../lib/wasm-util/coordinates.js'
export async function simplify_nth_point(coords, n) {
return await callSimplification('nth_point', coords, [n])
}
export async function simplify_radial_distance(coords, tol) {
return await callSimplification('radial_distance', coords, [tol])
}
export async function simplify_perpendicular_distance(coords, tol, repeat) {
const params = [tol, repeat]
return await callSimplification('perpendicular_distance', coords, params)
}
export async function simplify_reumann_witkam(coords, tol) {
return await callSimplification('reumann_witkam', coords, [tol])
}
export async function simplify_opheim(coords, minTol, maxTol) {
return await callSimplification('opheim', coords, [minTol, maxTol])
}
export async function simplify_lang(coords, tol, lookAhead) {
return await callSimplification('lang', coords, [tol, lookAhead])
}
export async function simplify_douglas_peucker(coords, tol) {
return await callSimplification('douglas_peucker', coords, [tol])
}
export async function simplify_douglas_peucker_n(coords, count) {
return await callSimplification('douglas_peucker_n', coords, [count])
}
async function callSimplification(name, coords, params) {
if (!isSimplificationRoutine(name)) throw Error(`Routine ${name} not known`)
const module = await getModule()
const buffer = storeCoords(module, coords)
const result = module[name](buffer, coords.length * 2, ...params)
module._free(buffer)
return unflattenCoords(result)
}
const simplificationRoutines = [
'nth_point',
'radial_distance',
'perpendicular_distance',
'reumann_witkam',
'opheim',
'lang',
'douglas_peucker',
'douglas_peucker_n'
]
function isSimplificationRoutine(name) {
return simplificationRoutines.indexOf(name) !== -1
}
let emscriptenModule
export async function getModule() {
if (!emscriptenModule)
emscriptenModule = initEmscriptenModule(wasmModuleFactory, wasmUrl)
return await emscriptenModule
}

82
lib/psimpl-js/psimpl.cpp
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@ -1,82 +0,0 @@
#include <stdio.h>
#include <emscripten/bind.h>
#include <emscripten/val.h>
#include "../psimpl_v7_src/psimpl.h"
using namespace emscripten;
val nth_point(uintptr_t ptr, int length, int n) {
double* begin = reinterpret_cast<double*>(ptr);
double* end = begin + length;
std::vector<double> resultCoords;
psimpl::simplify_nth_point<2>(begin, end, n, std::back_inserter(resultCoords));
return val(typed_memory_view(resultCoords.size(), &resultCoords[0]));
}
val radial_distance(uintptr_t ptr, int length, double tol) {
double* begin = reinterpret_cast<double*>(ptr);
double* end = begin + length;
std::vector<double> resultCoords;
psimpl::simplify_radial_distance<2>(begin, end, tol, std::back_inserter(resultCoords));
return val(typed_memory_view(resultCoords.size(), &resultCoords[0]));
}
val perpendicular_distance(uintptr_t ptr, int length, double tol, unsigned repeat) {
double* begin = reinterpret_cast<double*>(ptr);
double* end = begin + length;
std::vector<double> resultCoords;
psimpl::simplify_perpendicular_distance<2>(begin, end, tol, repeat, std::back_inserter(resultCoords));
return val(typed_memory_view(resultCoords.size(), &resultCoords[0]));
}
val reumann_witkam(uintptr_t ptr, int length, double tol) {
double* begin = reinterpret_cast<double*>(ptr);
double* end = begin + length;
std::vector<double> resultCoords;
psimpl::simplify_reumann_witkam<2>(begin, end, tol, std::back_inserter(resultCoords));
return val(typed_memory_view(resultCoords.size(), &resultCoords[0]));
}
val opheim(uintptr_t ptr, int length, double minTol, double maxTol) {
double* begin = reinterpret_cast<double*>(ptr);
double* end = begin + length;
std::vector<double> resultCoords;
psimpl::simplify_opheim<2>(begin, end, minTol, maxTol, std::back_inserter(resultCoords));
return val(typed_memory_view(resultCoords.size(), &resultCoords[0]));
}
val lang(uintptr_t ptr, int length, double tol, unsigned look_ahead) {
double* begin = reinterpret_cast<double*>(ptr);
double* end = begin + length;
std::vector<double> resultCoords;
psimpl::simplify_lang<2>(begin, end, tol, look_ahead, std::back_inserter(resultCoords));
return val(typed_memory_view(resultCoords.size(), &resultCoords[0]));
}
val douglas_peucker(uintptr_t ptr, int length, double tol) {
double* begin = reinterpret_cast<double*>(ptr);
double* end = begin + length;
std::vector<double> resultCoords;
psimpl::simplify_douglas_peucker<2>(begin, end, tol, std::back_inserter(resultCoords));
return val(typed_memory_view(resultCoords.size(), &resultCoords[0]));
}
val douglas_peucker_n(uintptr_t ptr, int length, unsigned count) {
double* begin = reinterpret_cast<double*>(ptr);
double* end = begin + length;
std::vector<double> resultCoords;
psimpl::simplify_douglas_peucker_n<2>(begin, end, count, std::back_inserter(resultCoords));
return val(typed_memory_view(resultCoords.size(), &resultCoords[0]));
}
EMSCRIPTEN_BINDINGS(my_module) {
function("nth_point", &nth_point);
function("radial_distance", &radial_distance);
function("perpendicular_distance", &perpendicular_distance);
function("reumann_witkam", &reumann_witkam);
function("opheim", &opheim);
function("lang", &lang);
function("douglas_peucker", &douglas_peucker);
function("douglas_peucker_n", &douglas_peucker_n);
register_vector<double>("vector<double>");
}

75
lib/psimpl-js/psimpl.js
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@ -1,75 +0,0 @@
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var _scriptDir = typeof document !== 'undefined' && document.currentScript ? document.currentScript.src : undefined;
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d.dynCall_iii=function(){return d.asm.K.apply(null,arguments)};d.dynCall_iiii=function(){return d.asm.L.apply(null,arguments)};d.dynCall_iiiid=function(){return d.asm.M.apply(null,arguments)};d.dynCall_iiiidd=function(){return d.asm.N.apply(null,arguments)};d.dynCall_iiiidi=function(){return d.asm.O.apply(null,arguments)};d.dynCall_iiiii=function(){return d.asm.P.apply(null,arguments)};d.dynCall_jiji=function(){return d.asm.Q.apply(null,arguments)};
d.dynCall_v=function(){return d.asm.R.apply(null,arguments)};d.dynCall_vi=function(){return d.asm.S.apply(null,arguments)};d.dynCall_vii=function(){return d.asm.T.apply(null,arguments)};d.dynCall_viid=function(){return d.asm.U.apply(null,arguments)};d.dynCall_viii=function(){return d.asm.V.apply(null,arguments)};d.dynCall_viiid=function(){return d.asm.W.apply(null,arguments)};d.dynCall_viiidd=function(){return d.asm.X.apply(null,arguments)};d.dynCall_viiidi=function(){return d.asm.Y.apply(null,arguments)};
d.dynCall_viiii=function(){return d.asm.Z.apply(null,arguments)};d.dynCall_viiiii=function(){return d.asm._.apply(null,arguments)};d.dynCall_viiiiii=function(){return d.asm.$.apply(null,arguments)};d.asm=zb;d.then=function(a){if(d.calledRun)a(d);else{var b=d.onRuntimeInitialized;d.onRuntimeInitialized=function(){b&&b();a(d)}}return d};function x(a){this.name="ExitStatus";this.message="Program terminated with exit("+a+")";this.status=a}x.prototype=Error();x.prototype.constructor=x;
G=function Ab(){d.calledRun||Bb();d.calledRun||(G=Ab)};
function Bb(){function a(){if(!d.calledRun&&(d.calledRun=!0,!ha)){xa||(xa=!0,sa(ua));sa(va);if(d.onRuntimeInitialized)d.onRuntimeInitialized();if(d.postRun)for("function"==typeof d.postRun&&(d.postRun=[d.postRun]);d.postRun.length;){var a=d.postRun.shift();wa.unshift(a)}sa(wa)}}if(!(0<E)){if(d.preRun)for("function"==typeof d.preRun&&(d.preRun=[d.preRun]);d.preRun.length;)ya();sa(ta);0<E||d.calledRun||(d.setStatus?(d.setStatus("Running..."),setTimeout(function(){setTimeout(function(){d.setStatus("")},1);
a()},1)):a())}}d.run=Bb;function w(a){if(d.onAbort)d.onAbort(a);void 0!==a?(ea(a),y(a),a=JSON.stringify(a)):a="";ha=!0;throw"abort("+a+"). Build with -s ASSERTIONS=1 for more info.";}d.abort=w;if(d.preInit)for("function"==typeof d.preInit&&(d.preInit=[d.preInit]);0<d.preInit.length;)d.preInit.pop()();d.noExitRuntime=!0;Bb();
return Module
}
);
})();
export default Module;

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lib/psimpl-js/psimpl.wasm
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lib/psimpl_v7_src/LICENSE.txt
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@ -1,470 +0,0 @@
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.]

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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<double>. 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

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<tr><td class="indexkey"><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a></td><td class="indexvalue">Douglas-Peucker approximation helper class </td></tr>
<tr><td class="indexkey"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a></td><td class="indexvalue">Defines the key of a polyline </td></tr>
<tr><td class="indexkey"><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td class="indexvalue">Provides various simplification algorithms for n-dimensional simple polylines </td></tr>
<tr><td class="indexkey"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array&lt; T &gt;</a></td><td class="indexvalue">A smart pointer for holding a dynamically allocated array </td></tr>
<tr><td class="indexkey"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">psimpl::math::Statistics</a></td><td class="indexvalue">POD structure for storing several statistical values </td></tr>
<tr><td class="indexkey"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a></td><td class="indexvalue">Defines a sub polyline </td></tr>
<tr><td class="indexkey"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a></td><td class="indexvalue">Defines a sub polyline including its key </td></tr>
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</td><td><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">PolylineSimplification::DPHelper::KeyInfo</a> (<a class="el" href="namespacepsimpl.html">psimpl</a>)&#160;&#160;&#160;</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">PolylineSimplification</a> (<a class="el" href="namespacepsimpl.html">psimpl</a>)&#160;&#160;&#160;</td><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a> (<a class="el" href="namespacepsimpl_1_1util.html">psimpl::util</a>)&#160;&#160;&#160;</td><td><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html">PolylineSimplification::DPHelper::SubPoly</a> (<a class="el" href="namespacepsimpl.html">psimpl</a>)&#160;&#160;&#160;</td></tr><tr><td><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">PolylineSimplification::DPHelper</a> (<a class="el" href="namespacepsimpl.html">psimpl</a>)&#160;&#160;&#160;</td><td><a name="letter_P"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;P&#160;&#160;</div></td></tr></table>
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</td><td><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">Statistics</a> (<a class="el" href="namespacepsimpl_1_1math.html">psimpl::math</a>)&#160;&#160;&#160;</td><td><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html">PolylineSimplification::DPHelper::SubPolyAlt</a> (<a class="el" href="namespacepsimpl.html">psimpl</a>)&#160;&#160;&#160;</td></tr><tr><td><a name="letter_K"></a><table border="0" cellspacing="0" cellpadding="0"><tr><td><div class="ah">&#160;&#160;K&#160;&#160;</div></td></tr></table>
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<div class="title">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt; Member List</div> </div>
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This is the complete list of members for <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>, including all inherited members.<table>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a825677c1dbe228d8904846ea2781ee19">Advance</a>(InputIterator &amp;it, diff_type n=1)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline, private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a9c2510b3c8466f2080b924629e8ce2e6">AdvanceCopy</a>(InputIterator it, diff_type n=1)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline, private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a5af6938c7d84c84f20c4981a51228865">Backward</a>(InputIterator &amp;it, unsigned &amp;remaining)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline, private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a6b3ed5157f5bf51ef7be179896cd2903">ComputePositionalErrors2</a>(InputIterator original_first, InputIterator original_last, InputIterator simplified_first, InputIterator simplified_last, OutputIterator result, bool *valid=0)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a10af204d445105a8a4cbc81bd0563cb1">ComputePositionalErrorStatistics</a>(InputIterator original_first, InputIterator original_last, InputIterator simplified_first, InputIterator simplified_last, bool *valid=0)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a46fd020dc9f03e4b44bf95f256a06b1a">CopyKey</a>(InputIterator key, OutputIterator &amp;result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline, private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#acd517bb1803b28ad69aa9012ac2577e5">CopyKeyAdvance</a>(InputIterator &amp;key, OutputIterator &amp;result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline, private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a5a3b5d1a275e366f2c0bab770140507c">diff_type</a> typedef</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a75954f25bc0d99e0a756611ffa2b5fda">DouglasPeucker</a>(InputIterator first, InputIterator last, value_type tol, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#ae309320bd688e6752c8d1e70ff58e4c1">DouglasPeuckerN</a>(InputIterator first, InputIterator last, unsigned count, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#ab371de18bbb855cbd2912ceea5260519">Forward</a>(InputIterator &amp;it, unsigned n, unsigned &amp;remaining)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline, private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a34f6cdc9223e0e99c671e07a15086e3e">Lang</a>(InputIterator first, InputIterator last, value_type tol, unsigned look_ahead, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#ace21c52fe251f03dc87d17e2627f83ed">NthPoint</a>(InputIterator first, InputIterator last, unsigned n, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a0b9bf4a27ef12a4eb103266f50c6eb7e">Opheim</a>(InputIterator first, InputIterator last, value_type min_tol, value_type max_tol, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a2b10f2aeaec1cb48eb053b2b9f632c9c">PerpendicularDistance</a>(InputIterator first, InputIterator last, value_type tol, unsigned repeat, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a54fec7f2139b6ec1b82ca884fc402f2f">PerpendicularDistance</a>(InputIterator first, InputIterator last, value_type tol, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> typedef</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#aa9f3491a3aa88e3b795705045053a649">RadialDistance</a>(InputIterator first, InputIterator last, value_type tol, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#ae938c132f029b4e8e828f5e6c7ee4b16">ReumannWitkam</a>(InputIterator first, InputIterator last, value_type tol, OutputIterator result)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> typedef</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td><td><code> [private]</code></td></tr>
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This is the complete list of members for <a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a>, including all inherited members.<table>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#a19ef5bd5a4ff343e4defbe3765215c28">Approximate</a>(const value_type *coords, ptr_diff_type coordCount, value_type tol, unsigned char *keys)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a></td><td><code> [inline, static]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#afd49bef5d20db1ef171f9dcfc297e953">ApproximateN</a>(const value_type *coords, ptr_diff_type coordCount, unsigned countTol, unsigned char *keys)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a></td><td><code> [inline, static]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#ab1e1bf2f9c562d9ea784466129ce0b19">FindKey</a>(const value_type *coords, ptr_diff_type first, ptr_diff_type last)</td><td><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a></td><td><code> [inline, private, static]</code></td></tr>
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<!-- doxytag: class="psimpl::PolylineSimplification::DPHelper" -->
<p>Douglas-Peucker approximation helper class.
<a href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#details">More...</a></p>
<p><a href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper-members.html">List of all members.</a></p>
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Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">KeyInfo</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Defines the key of a polyline. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html">SubPoly</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Defines a sub polyline. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html">SubPolyAlt</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Defines a sub polyline including its key. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#a19ef5bd5a4ff343e4defbe3765215c28">Approximate</a> (const <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> *coords, <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> coordCount, <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> tol, unsigned char *keys)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Douglas-Peucker approximation. <a href="#a19ef5bd5a4ff343e4defbe3765215c28"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#afd49bef5d20db1ef171f9dcfc297e953">ApproximateN</a> (const <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> *coords, <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> coordCount, unsigned countTol, unsigned char *keys)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Douglas-Peucker approximation. <a href="#afd49bef5d20db1ef171f9dcfc297e953"></a><br/></td></tr>
<tr><td colspan="2"><h2><a name="pri-static-methods"></a>
Static Private Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">KeyInfo</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#ab1e1bf2f9c562d9ea784466129ce0b19">FindKey</a> (const <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> *coords, <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> first, <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> last)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Finds the key for the given sub polyline. <a href="#ab1e1bf2f9c562d9ea784466129ce0b19"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt;<br/>
class psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</h3>
<p>Douglas-Peucker approximation helper class. </p>
<p>Contains helper implentations for Douglas-Peucker approximation that operate solely on value_type arrays and value_type pointers. Note that the <a class="el" href="classpsimpl_1_1_polyline_simplification.html" title="Provides various simplification algorithms for n-dimensional simple polylines.">PolylineSimplification</a> class only operates on iterators. </p>
</div><hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a19ef5bd5a4ff343e4defbe3765215c28"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::Approximate" ref="a19ef5bd5a4ff343e4defbe3765215c28" args="(const value_type *coords, ptr_diff_type coordCount, value_type tol, unsigned char *keys)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
<table class="memname">
<tr>
<td class="memname">static void <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::Approximate </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> *&#160;</td>
<td class="paramname"><em>coords</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
<td class="paramname"><em>coordCount</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a>&#160;</td>
<td class="paramname"><em>tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned char *&#160;</td>
<td class="paramname"><em>keys</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline, static]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs Douglas-Peucker approximation. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">coords</td><td>array of polyline coordinates </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">coordCount</td><td>number of coordinates in coords [] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>approximation tolerance </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">keys</td><td>indicates for each polyline point if it is a key </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a class="anchor" id="afd49bef5d20db1ef171f9dcfc297e953"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::ApproximateN" ref="afd49bef5d20db1ef171f9dcfc297e953" args="(const value_type *coords, ptr_diff_type coordCount, unsigned countTol, unsigned char *keys)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
<table class="memname">
<tr>
<td class="memname">static void <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::ApproximateN </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> *&#160;</td>
<td class="paramname"><em>coords</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
<td class="paramname"><em>coordCount</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned&#160;</td>
<td class="paramname"><em>countTol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned char *&#160;</td>
<td class="paramname"><em>keys</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline, static]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs Douglas-Peucker approximation. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">coords</td><td>array of polyline coordinates </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">coordCount</td><td>number of coordinates in coords [] </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">countTol</td><td>point count tolerance </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">keys</td><td>indicates for each polyline point if it is a key </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a class="anchor" id="ab1e1bf2f9c562d9ea784466129ce0b19"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::FindKey" ref="ab1e1bf2f9c562d9ea784466129ce0b19" args="(const value_type *coords, ptr_diff_type first, ptr_diff_type last)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
<table class="memname">
<tr>
<td class="memname">static <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">KeyInfo</a> <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::FindKey </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> *&#160;</td>
<td class="paramname"><em>coords</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
<td class="paramname"><em>last</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline, static, private]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Finds the key for the given sub polyline. </p>
<p>Finds the point in the range [first, last] that is furthest away from the segment (first, last). This point is called the key.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">coords</td><td>array of polyline coordinates </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>the first coordinate of the last polyline point </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the index of the key and its distance, or last when a key could not be found </dd></dl>
</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li>D:/Code/Projects/psimpl/trunk/lib/<a class="el" href="psimpl_8h_source.html">psimpl.h</a></li>
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<li class="navelem"><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">DPHelper</a> </li>
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<tr class="memlist"><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a804949986114cac19e44e959ed55202a">array</a></td><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array&lt; T &gt;</a></td><td><code> [private]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a7a4c3a0d4593dd10ddf6d695f2086e67">get</a>() const </td><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array&lt; T &gt;</a></td><td><code> [inline]</code></td></tr>
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<tr class="memlist"><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a7ca257c64e882a9a5973146de5c8055f">scoped_array</a>(unsigned n)</td><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array&lt; T &gt;</a></td><td><code> [inline]</code></td></tr>
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<tr class="memlist"><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#ac97beeefa4563f9b9096df6fac32ce39">swap</a>(scoped_array &amp;b)</td><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array&lt; T &gt;</a></td><td><code> [inline]</code></td></tr>
<tr class="memlist"><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#abc7ca2793c23699c0ba855856af436e8">~scoped_array</a>()</td><td><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array&lt; T &gt;</a></td><td><code> [inline]</code></td></tr>
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<div class="title">psimpl::util::scoped_array&lt; T &gt; Class Template Reference</div> </div>
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<!-- doxytag: class="psimpl::util::scoped_array" -->
<p>A smart pointer for holding a dynamically allocated array.
<a href="classpsimpl_1_1util_1_1scoped__array.html#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="psimpl_8h_source.html">psimpl.h</a>&gt;</code></p>
<p><a href="classpsimpl_1_1util_1_1scoped__array-members.html">List of all members.</a></p>
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Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a7ca257c64e882a9a5973146de5c8055f">scoped_array</a> (unsigned n)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#abc7ca2793c23699c0ba855856af436e8">~scoped_array</a> ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">T &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a5fe6ffe5f442f5d8c5c24ef010b276d7">operator[]</a> (int offset)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#aa60ac752fe4ebe0a19b9b3e5fd02051c">operator[]</a> (int offset) const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">T *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a7a4c3a0d4593dd10ddf6d695f2086e67">get</a> () const </td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#ac97beeefa4563f9b9096df6fac32ce39">swap</a> (<a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a> &amp;b)</td></tr>
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Private Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a5a6f140a2398b3a2551b5803f521f5d9">scoped_array</a> (const <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a> &amp;)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a9d2203f20dd342720a9a26fd329e6266">operator=</a> (const <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a> &amp;)</td></tr>
<tr><td colspan="2"><h2><a name="pri-attribs"></a>
Private Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">T *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a804949986114cac19e44e959ed55202a">array</a></td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename T&gt;<br/>
class psimpl::util::scoped_array&lt; T &gt;</h3>
<p>A smart pointer for holding a dynamically allocated array. </p>
<p>Similar to boost::scoped_array. </p>
</div><hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="a7ca257c64e882a9a5973146de5c8055f"></a><!-- doxytag: member="psimpl::util::scoped_array::scoped_array" ref="a7ca257c64e882a9a5973146de5c8055f" args="(unsigned n)" -->
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template&lt;typename T&gt; </div>
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<td class="memname"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array</a>&lt; T &gt;::<a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a> </td>
<td>(</td>
<td class="paramtype">unsigned&#160;</td>
<td class="paramname"><em>n</em></td><td>)</td>
<td><code> [inline]</code></td>
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<a class="anchor" id="abc7ca2793c23699c0ba855856af436e8"></a><!-- doxytag: member="psimpl::util::scoped_array::~scoped_array" ref="abc7ca2793c23699c0ba855856af436e8" args="()" -->
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template&lt;typename T&gt; </div>
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<td class="memname"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array</a>&lt; T &gt;::~<a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a> </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td><code> [inline]</code></td>
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<a class="anchor" id="a5a6f140a2398b3a2551b5803f521f5d9"></a><!-- doxytag: member="psimpl::util::scoped_array::scoped_array" ref="a5a6f140a2398b3a2551b5803f521f5d9" args="(const scoped_array &amp;)" -->
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<td class="memname"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array</a>&lt; T &gt;::<a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a> </td>
<td>(</td>
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<td><code> [private]</code></td>
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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a7a4c3a0d4593dd10ddf6d695f2086e67"></a><!-- doxytag: member="psimpl::util::scoped_array::get" ref="a7a4c3a0d4593dd10ddf6d695f2086e67" args="() const " -->
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<td class="memname">T* <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array</a>&lt; T &gt;::get </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const<code> [inline]</code></td>
</tr>
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<a class="anchor" id="a9d2203f20dd342720a9a26fd329e6266"></a><!-- doxytag: member="psimpl::util::scoped_array::operator=" ref="a9d2203f20dd342720a9a26fd329e6266" args="(const scoped_array &amp;)" -->
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<td>(</td>
<td class="paramtype">const <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a>&lt; T &gt; &amp;&#160;</td>
<td class="paramname"></td><td>)</td>
<td><code> [private]</code></td>
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<div class="memdoc">
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<a class="anchor" id="aa60ac752fe4ebe0a19b9b3e5fd02051c"></a><!-- doxytag: member="psimpl::util::scoped_array::operator[]" ref="aa60ac752fe4ebe0a19b9b3e5fd02051c" args="(int offset) const " -->
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<td>(</td>
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<div class="memdoc">
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<a class="anchor" id="a5fe6ffe5f442f5d8c5c24ef010b276d7"></a><!-- doxytag: member="psimpl::util::scoped_array::operator[]" ref="a5fe6ffe5f442f5d8c5c24ef010b276d7" args="(int offset)" -->
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<td class="memname">T&amp; <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array</a>&lt; T &gt;::operator[] </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>offset</em></td><td>)</td>
<td><code> [inline]</code></td>
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<div class="memdoc">
</div>
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<a class="anchor" id="ac97beeefa4563f9b9096df6fac32ce39"></a><!-- doxytag: member="psimpl::util::scoped_array::swap" ref="ac97beeefa4563f9b9096df6fac32ce39" args="(scoped_array &amp;b)" -->
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template&lt;typename T&gt; </div>
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<td class="memname">void <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array</a>&lt; T &gt;::swap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">scoped_array</a>&lt; T &gt; &amp;&#160;</td>
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<td><code> [inline]</code></td>
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<div class="memdoc">
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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a804949986114cac19e44e959ed55202a"></a><!-- doxytag: member="psimpl::util::scoped_array::array" ref="a804949986114cac19e44e959ed55202a" args="" -->
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>D:/Code/Projects/psimpl/trunk/lib/<a class="el" href="psimpl_8h_source.html">psimpl.h</a></li>
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<tr><td class="indexkey">D:/Code/Projects/psimpl/trunk/lib/<a class="el" href="psimpl_8h.html">psimpl.h</a> <a href="psimpl_8h_source.html">[code]</a></td><td class="indexvalue"></td></tr>
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<li><a href="#index_c"><span>c</span></a></li>
<li><a href="#index_d"><span>d</span></a></li>
<li><a href="#index_f"><span>f</span></a></li>
<li><a href="#index_g"><span>g</span></a></li>
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<li><a href="#index_n"><span>n</span></a></li>
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<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
<li>Advance()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a825677c1dbe228d8904846ea2781ee19">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
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: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a9c2510b3c8466f2080b924629e8ce2e6">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
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: <a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#a19ef5bd5a4ff343e4defbe3765215c28">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a>
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<li>ApproximateN()
: <a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#afd49bef5d20db1ef171f9dcfc297e953">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a>
</li>
<li>array
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a804949986114cac19e44e959ed55202a">psimpl::util::scoped_array&lt; T &gt;</a>
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<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
<li>Backward()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a5af6938c7d84c84f20c4981a51228865">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
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<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
<li>ComputePositionalErrors2()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a6b3ed5157f5bf51ef7be179896cd2903">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>ComputePositionalErrorStatistics()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a10af204d445105a8a4cbc81bd0563cb1">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>CopyKey()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a46fd020dc9f03e4b44bf95f256a06b1a">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>CopyKeyAdvance()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#acd517bb1803b28ad69aa9012ac2577e5">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
<li>diff_type
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a5a3b5d1a275e366f2c0bab770140507c">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>dist2
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#a18fc8b4698754902fa697d9ea92629f4">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a>
</li>
<li>DouglasPeucker()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a75954f25bc0d99e0a756611ffa2b5fda">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>DouglasPeuckerN()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ae309320bd688e6752c8d1e70ff58e4c1">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
<li>FindKey()
: <a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#ab1e1bf2f9c562d9ea784466129ce0b19">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a>
</li>
<li>first
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6e072a2f6fe795c72870b498ec96e564">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a>
, <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a92345917355c59fbc19704c01a4bfa2d">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
</li>
<li>Forward()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ab371de18bbb855cbd2912ceea5260519">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
<li>get()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a7a4c3a0d4593dd10ddf6d695f2086e67">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
<li>index
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#aa4ea63f0cb9abd4c7001d3f835a47ae4">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a>
</li>
</ul>
<h3><a class="anchor" id="index_k"></a>- k -</h3><ul>
<li>KeyInfo()
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#ae9db44331df497b0e20e97f7b1a93491">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a>
</li>
<li>keyInfo
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#afa58fb132744d1a2ba4c7ab4ddbc00fb">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
</li>
</ul>
<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
<li>Lang()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a34f6cdc9223e0e99c671e07a15086e3e">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>last
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a4b6e337ce1250efd9599b7df99922fcf">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
, <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6f1943bf7fcd5349e9d312a222804688">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a>
</li>
</ul>
<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
<li>max
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#ae9f672e092297b56fc28de70802b4fcb">psimpl::math::Statistics</a>
</li>
<li>mean
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#a5ec6444e6cb5bbf0b5f2820a5ba45f40">psimpl::math::Statistics</a>
</li>
</ul>
<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
<li>NthPoint()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ace21c52fe251f03dc87d17e2627f83ed">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
<li>operator&lt;()
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a737d39204cbf1d26e4d7dccf267f2bc9">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
</li>
<li>operator=()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a9d2203f20dd342720a9a26fd329e6266">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
<li>operator[]()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#aa60ac752fe4ebe0a19b9b3e5fd02051c">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
<li>Opheim()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a0b9bf4a27ef12a4eb103266f50c6eb7e">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
<li>PerpendicularDistance()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a2b10f2aeaec1cb48eb053b2b9f632c9c">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>ptr_diff_type
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
<li>RadialDistance()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aa9f3491a3aa88e3b795705045053a649">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>ReumannWitkam()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ae938c132f029b4e8e828f5e6c7ee4b16">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
<li>scoped_array()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a7ca257c64e882a9a5973146de5c8055f">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
<li>Statistics()
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#acc29e12d945e80f6c36702c3d03c5d45">psimpl::math::Statistics</a>
</li>
<li>std
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#af2f6f43cb05903f393c454bf87221f36">psimpl::math::Statistics</a>
</li>
<li>SubPoly()
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a77018563df501cf3b4ef79d921086314">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a>
</li>
<li>SubPolyAlt()
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a173dc5811db508a92806559d2e7d1a14">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
</li>
<li>sum
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#a7fe8b670f8f9b110303fb797dc900c85">psimpl::math::Statistics</a>
</li>
<li>swap()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#ac97beeefa4563f9b9096df6fac32ce39">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
<li>value_type
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_0x7e"></a>- ~ -</h3><ul>
<li>~scoped_array()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#abc7ca2793c23699c0ba855856af436e8">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
</ul>
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&#160;
<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
<li>Advance()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a825677c1dbe228d8904846ea2781ee19">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>AdvanceCopy()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a9c2510b3c8466f2080b924629e8ce2e6">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>Approximate()
: <a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#a19ef5bd5a4ff343e4defbe3765215c28">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a>
</li>
<li>ApproximateN()
: <a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#afd49bef5d20db1ef171f9dcfc297e953">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a>
</li>
</ul>
<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
<li>Backward()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a5af6938c7d84c84f20c4981a51228865">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
<li>ComputePositionalErrors2()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a6b3ed5157f5bf51ef7be179896cd2903">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>ComputePositionalErrorStatistics()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a10af204d445105a8a4cbc81bd0563cb1">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>CopyKey()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a46fd020dc9f03e4b44bf95f256a06b1a">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>CopyKeyAdvance()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#acd517bb1803b28ad69aa9012ac2577e5">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
<li>DouglasPeucker()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a75954f25bc0d99e0a756611ffa2b5fda">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>DouglasPeuckerN()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ae309320bd688e6752c8d1e70ff58e4c1">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
<li>FindKey()
: <a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#ab1e1bf2f9c562d9ea784466129ce0b19">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a>
</li>
<li>Forward()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ab371de18bbb855cbd2912ceea5260519">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
<li>get()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a7a4c3a0d4593dd10ddf6d695f2086e67">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_k"></a>- k -</h3><ul>
<li>KeyInfo()
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#ae9db44331df497b0e20e97f7b1a93491">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a>
</li>
</ul>
<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
<li>Lang()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a34f6cdc9223e0e99c671e07a15086e3e">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
<li>NthPoint()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ace21c52fe251f03dc87d17e2627f83ed">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
<li>operator&lt;()
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a737d39204cbf1d26e4d7dccf267f2bc9">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
</li>
<li>operator=()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a9d2203f20dd342720a9a26fd329e6266">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
<li>operator[]()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#aa60ac752fe4ebe0a19b9b3e5fd02051c">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
<li>Opheim()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a0b9bf4a27ef12a4eb103266f50c6eb7e">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
<li>PerpendicularDistance()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a2b10f2aeaec1cb48eb053b2b9f632c9c">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
<li>RadialDistance()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aa9f3491a3aa88e3b795705045053a649">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
<li>ReumannWitkam()
: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ae938c132f029b4e8e828f5e6c7ee4b16">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
</li>
</ul>
<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
<li>scoped_array()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a7ca257c64e882a9a5973146de5c8055f">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
<li>Statistics()
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#acc29e12d945e80f6c36702c3d03c5d45">psimpl::math::Statistics</a>
</li>
<li>SubPoly()
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a77018563df501cf3b4ef79d921086314">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a>
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<li>SubPolyAlt()
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a173dc5811db508a92806559d2e7d1a14">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
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<li>swap()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#ac97beeefa4563f9b9096df6fac32ce39">psimpl::util::scoped_array&lt; T &gt;</a>
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<h3><a class="anchor" id="index_0x7e"></a>- ~ -</h3><ul>
<li>~scoped_array()
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#abc7ca2793c23699c0ba855856af436e8">psimpl::util::scoped_array&lt; T &gt;</a>
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: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a5a3b5d1a275e366f2c0bab770140507c">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
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: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
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: <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a>
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&#160;<ul>
<li>array
: <a class="el" href="classpsimpl_1_1util_1_1scoped__array.html#a804949986114cac19e44e959ed55202a">psimpl::util::scoped_array&lt; T &gt;</a>
</li>
<li>dist2
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#a18fc8b4698754902fa697d9ea92629f4">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a>
</li>
<li>first
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6e072a2f6fe795c72870b498ec96e564">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a>
, <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a92345917355c59fbc19704c01a4bfa2d">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
</li>
<li>index
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#aa4ea63f0cb9abd4c7001d3f835a47ae4">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a>
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<li>keyInfo
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#afa58fb132744d1a2ba4c7ab4ddbc00fb">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
</li>
<li>last
: <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6f1943bf7fcd5349e9d312a222804688">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a>
, <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a4b6e337ce1250efd9599b7df99922fcf">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>
</li>
<li>max
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#ae9f672e092297b56fc28de70802b4fcb">psimpl::math::Statistics</a>
</li>
<li>mean
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#a5ec6444e6cb5bbf0b5f2820a5ba45f40">psimpl::math::Statistics</a>
</li>
<li>std
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#af2f6f43cb05903f393c454bf87221f36">psimpl::math::Statistics</a>
</li>
<li>sum
: <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#a7fe8b670f8f9b110303fb797dc900c85">psimpl::math::Statistics</a>
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<div class="title">psimpl - generic n-dimensional polyline simplification </div> </div>
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<div class="textblock"><pre>
Author - Elmar de Koning
Support - <a href="mailto:edekoning@gmail.com">edekoning@gmail.com</a>
Website - <a href="http://psimpl.sf.net">http://psimpl.sf.net</a>
Article - <a href="http://www.codeproject.com/KB/recipes/PolylineSimplification.aspx">http://www.codeproject.com/KB/recipes/PolylineSimplification.aspx</a>
License - MPL 1.1
</pre><p><br/>
</p>
<h2><a class="anchor" id="sec_psimpl"></a>
psimpl</h2>
<pre>
'psimpl' is a c++ polyline simplification library that is generic, easy to use, and supports
the following algorithms:</pre><pre> 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</pre><pre> Errors
+ positional error - Distance of each polyline point to its simplification</pre><pre> 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.
</pre><p><br/>
</p>
<h2><a class="anchor" id="sec_changelog"></a>
changelog</h2>
<pre>
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.
</pre> </div></div>
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<li>compute_positional_error_statistics()
: <a class="el" href="namespacepsimpl.html#a16418e391940b20609bc48289e7222a4">psimpl</a>
</li>
<li>compute_positional_errors2()
: <a class="el" href="namespacepsimpl.html#a187709033361ba469a60c3a848328118">psimpl</a>
</li>
<li>compute_statistics()
: <a class="el" href="namespacepsimpl_1_1math.html#ab162cc6f5efcf619c7327b45c793c969">psimpl::math</a>
</li>
<li>dot()
: <a class="el" href="namespacepsimpl_1_1math.html#a26bb15089fdfcfc4560b5a318317bbc4">psimpl::math</a>
</li>
<li>equal()
: <a class="el" href="namespacepsimpl_1_1math.html#a6b293d2459ba597c933d6fdb68e91b2c">psimpl::math</a>
</li>
<li>interpolate()
: <a class="el" href="namespacepsimpl_1_1math.html#a87a753961c7742b6c48b4f66a0fea697">psimpl::math</a>
</li>
<li>line_distance2()
: <a class="el" href="namespacepsimpl_1_1math.html#ace5d8a6b9ca11eeadd9d13e451651996">psimpl::math</a>
</li>
<li>make_vector()
: <a class="el" href="namespacepsimpl_1_1math.html#a10bb3d3d87fa1038d43eee6e5f3fcdda">psimpl::math</a>
</li>
<li>point_distance2()
: <a class="el" href="namespacepsimpl_1_1math.html#ab995b6d68caf4d43172a0de6ee363eb0">psimpl::math</a>
</li>
<li>ray_distance2()
: <a class="el" href="namespacepsimpl_1_1math.html#a4b9426204b9964b859b059cc7fbce61a">psimpl::math</a>
</li>
<li>segment_distance2()
: <a class="el" href="namespacepsimpl_1_1math.html#a4f3ff418f290d1125622c2388ab976d0">psimpl::math</a>
</li>
<li>simplify_douglas_peucker()
: <a class="el" href="namespacepsimpl.html#ab71cedd762eee4006a85f4321fca6cad">psimpl</a>
</li>
<li>simplify_douglas_peucker_n()
: <a class="el" href="namespacepsimpl.html#aeff1b138293ca9cfb855d7e1f69dacf5">psimpl</a>
</li>
<li>simplify_lang()
: <a class="el" href="namespacepsimpl.html#a241debcb1ad56aa1046f4a4996922411">psimpl</a>
</li>
<li>simplify_nth_point()
: <a class="el" href="namespacepsimpl.html#a1a805a9e3eef7ca46bffae71a8b49dc0">psimpl</a>
</li>
<li>simplify_opheim()
: <a class="el" href="namespacepsimpl.html#a433d47ec86872f64bdc2bc792e6444ca">psimpl</a>
</li>
<li>simplify_perpendicular_distance()
: <a class="el" href="namespacepsimpl.html#a71a8cbb4f1ebd41a5897c8174bdf8617">psimpl</a>
</li>
<li>simplify_radial_distance()
: <a class="el" href="namespacepsimpl.html#a12f4b63e11188c5293fe3effabbfba31">psimpl</a>
</li>
<li>simplify_reumann_witkam()
: <a class="el" href="namespacepsimpl.html#a0ae1a1e3ada43f9791ac6ac36df5fdf7">psimpl</a>
</li>
<li>swap()
: <a class="el" href="namespacepsimpl_1_1util.html#ae99d4ca12dc7025d6a31185463d7606d">psimpl::util</a>
</li>
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&#160;<ul>
<li>compute_positional_error_statistics()
: <a class="el" href="namespacepsimpl.html#a16418e391940b20609bc48289e7222a4">psimpl</a>
</li>
<li>compute_positional_errors2()
: <a class="el" href="namespacepsimpl.html#a187709033361ba469a60c3a848328118">psimpl</a>
</li>
<li>compute_statistics()
: <a class="el" href="namespacepsimpl_1_1math.html#ab162cc6f5efcf619c7327b45c793c969">psimpl::math</a>
</li>
<li>dot()
: <a class="el" href="namespacepsimpl_1_1math.html#a26bb15089fdfcfc4560b5a318317bbc4">psimpl::math</a>
</li>
<li>equal()
: <a class="el" href="namespacepsimpl_1_1math.html#a6b293d2459ba597c933d6fdb68e91b2c">psimpl::math</a>
</li>
<li>interpolate()
: <a class="el" href="namespacepsimpl_1_1math.html#a87a753961c7742b6c48b4f66a0fea697">psimpl::math</a>
</li>
<li>line_distance2()
: <a class="el" href="namespacepsimpl_1_1math.html#ace5d8a6b9ca11eeadd9d13e451651996">psimpl::math</a>
</li>
<li>make_vector()
: <a class="el" href="namespacepsimpl_1_1math.html#a10bb3d3d87fa1038d43eee6e5f3fcdda">psimpl::math</a>
</li>
<li>point_distance2()
: <a class="el" href="namespacepsimpl_1_1math.html#ab995b6d68caf4d43172a0de6ee363eb0">psimpl::math</a>
</li>
<li>ray_distance2()
: <a class="el" href="namespacepsimpl_1_1math.html#a4b9426204b9964b859b059cc7fbce61a">psimpl::math</a>
</li>
<li>segment_distance2()
: <a class="el" href="namespacepsimpl_1_1math.html#a4f3ff418f290d1125622c2388ab976d0">psimpl::math</a>
</li>
<li>simplify_douglas_peucker()
: <a class="el" href="namespacepsimpl.html#ab71cedd762eee4006a85f4321fca6cad">psimpl</a>
</li>
<li>simplify_douglas_peucker_n()
: <a class="el" href="namespacepsimpl.html#aeff1b138293ca9cfb855d7e1f69dacf5">psimpl</a>
</li>
<li>simplify_lang()
: <a class="el" href="namespacepsimpl.html#a241debcb1ad56aa1046f4a4996922411">psimpl</a>
</li>
<li>simplify_nth_point()
: <a class="el" href="namespacepsimpl.html#a1a805a9e3eef7ca46bffae71a8b49dc0">psimpl</a>
</li>
<li>simplify_opheim()
: <a class="el" href="namespacepsimpl.html#a433d47ec86872f64bdc2bc792e6444ca">psimpl</a>
</li>
<li>simplify_perpendicular_distance()
: <a class="el" href="namespacepsimpl.html#a71a8cbb4f1ebd41a5897c8174bdf8617">psimpl</a>
</li>
<li>simplify_radial_distance()
: <a class="el" href="namespacepsimpl.html#a12f4b63e11188c5293fe3effabbfba31">psimpl</a>
</li>
<li>simplify_reumann_witkam()
: <a class="el" href="namespacepsimpl.html#a0ae1a1e3ada43f9791ac6ac36df5fdf7">psimpl</a>
</li>
<li>swap()
: <a class="el" href="namespacepsimpl_1_1util.html#ae99d4ca12dc7025d6a31185463d7606d">psimpl::util</a>
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<p>Root namespace of the polyline simplification library.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="namespaces"></a>
Namespaces</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html">math</a></td></tr>
<p><tr><td class="mdescLeft">&#160;</td><td class="mdescRight"><p>Contains functions for calculating statistics and distances between various geometric entities. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1util.html">util</a></td></tr>
<p><tr><td class="mdescLeft">&#160;</td><td class="mdescRight"><p>Contains utility functions and classes. </p>
<br/></td></tr>
</p>
<tr><td colspan="2"><h2><a name="nested-classes"></a>
Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification.html">PolylineSimplification</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Provides various simplification algorithms for n-dimensional simple polylines. <a href="classpsimpl_1_1_polyline_simplification.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a1a805a9e3eef7ca46bffae71a8b49dc0">simplify_nth_point</a> (ForwardIterator first, ForwardIterator last, unsigned n, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs the nth point routine (NP). <a href="#a1a805a9e3eef7ca46bffae71a8b49dc0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a12f4b63e11188c5293fe3effabbfba31">simplify_radial_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs the (radial) distance between points routine (RD). <a href="#a12f4b63e11188c5293fe3effabbfba31"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#aa8c86b0f1529d529fc2ff84d09b00101">simplify_perpendicular_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, unsigned repeat, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Repeatedly performs the perpendicular distance routine (PD). <a href="#aa8c86b0f1529d529fc2ff84d09b00101"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a71a8cbb4f1ebd41a5897c8174bdf8617">simplify_perpendicular_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs the perpendicular distance routine (PD). <a href="#a71a8cbb4f1ebd41a5897c8174bdf8617"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a0ae1a1e3ada43f9791ac6ac36df5fdf7">simplify_reumann_witkam</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Reumann-Witkam polyline simplification (RW). <a href="#a0ae1a1e3ada43f9791ac6ac36df5fdf7"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a433d47ec86872f64bdc2bc792e6444ca">simplify_opheim</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type min_tol, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type max_tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Opheim polyline simplification (OP). <a href="#a433d47ec86872f64bdc2bc792e6444ca"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class BidirectionalIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a241debcb1ad56aa1046f4a4996922411">simplify_lang</a> (BidirectionalIterator first, BidirectionalIterator last, typename std::iterator_traits&lt; BidirectionalIterator &gt;::value_type tol, unsigned look_ahead, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Lang polyline simplification (LA). <a href="#a241debcb1ad56aa1046f4a4996922411"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#ab71cedd762eee4006a85f4321fca6cad">simplify_douglas_peucker</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Douglas-Peucker polyline simplification (DP). <a href="#ab71cedd762eee4006a85f4321fca6cad"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#aeff1b138293ca9cfb855d7e1f69dacf5">simplify_douglas_peucker_n</a> (ForwardIterator first, ForwardIterator last, unsigned count, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs a variant of Douglas-Peucker polyline simplification (DPn). <a href="#aeff1b138293ca9cfb855d7e1f69dacf5"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a187709033361ba469a60c3a848328118">compute_positional_errors2</a> (ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, OutputIterator result, bool *valid=0)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared positional error between a polyline and its simplification. <a href="#a187709033361ba469a60c3a848328118"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">math::Statistics</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a16418e391940b20609bc48289e7222a4">compute_positional_error_statistics</a> (ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, bool *valid=0)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes statistics for the positional errors between a polyline and its simplification. <a href="#a16418e391940b20609bc48289e7222a4"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>Root namespace of the polyline simplification library. </p>
</div><hr/><h2>Function Documentation</h2>
<a class="anchor" id="a16418e391940b20609bc48289e7222a4"></a><!-- doxytag: member="psimpl::compute_positional_error_statistics" ref="a16418e391940b20609bc48289e7222a4" args="(ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, bool *valid=0)" -->
<div class="memitem">
<div class="memproto">
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template&lt;unsigned DIM, class ForwardIterator &gt; </div>
<table class="memname">
<tr>
<td class="memname"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">math::Statistics</a> psimpl::compute_positional_error_statistics </td>
<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>original_first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>original_last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>simplified_first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>simplified_last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool *&#160;</td>
<td class="paramname"><em>valid</em> = <code>0</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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<div class="memdoc">
<p>Computes statistics for the positional errors between a polyline and its simplification. </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a10af204d445105a8a4cbc81bd0563cb1" title="Computes statistics for the positional errors between a polyline and its simplification.">PolylineSimplification::ComputePositionalErrorStatistics</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">original_first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">original_last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">simplified_first</td><td>the first coordinate of the first simplified polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">simplified_last</td><td>one beyond the last coordinate of the last simplified polyline point </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">valid</td><td>[optional] indicates if the computed statistics are valid </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the computed statistics </dd></dl>
</div>
</div>
<a class="anchor" id="a187709033361ba469a60c3a848328118"></a><!-- doxytag: member="psimpl::compute_positional_errors2" ref="a187709033361ba469a60c3a848328118" args="(ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, OutputIterator result, bool *valid=0)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </div>
<table class="memname">
<tr>
<td class="memname">OutputIterator psimpl::compute_positional_errors2 </td>
<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>original_first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>original_last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>simplified_first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>simplified_last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">bool *&#160;</td>
<td class="paramname"><em>valid</em> = <code>0</code>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
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<div class="memdoc">
<p>Computes the squared positional error between a polyline and its simplification. </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a6b3ed5157f5bf51ef7be179896cd2903" title="Computes the squared positional error between a polyline and its simplification.">PolylineSimplification::ComputePositionalErrors2</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">original_first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">original_last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">simplified_first</td><td>the first coordinate of the first simplified polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">simplified_last</td><td>one beyond the last coordinate of the last simplified polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the squared positional errors </td></tr>
<tr><td class="paramdir">[out]</td><td class="paramname">valid</td><td>[optional] indicates if the computed positional errors are valid </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last computed positional error </dd></dl>
</div>
</div>
<a class="anchor" id="ab71cedd762eee4006a85f4321fca6cad"></a><!-- doxytag: member="psimpl::simplify_douglas_peucker" ref="ab71cedd762eee4006a85f4321fca6cad" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_douglas_peucker </td>
<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits&lt; ForwardIterator &gt;::value_type&#160;</td>
<td class="paramname"><em>tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<div class="memdoc">
<p>Performs Douglas-Peucker polyline simplification (DP). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a75954f25bc0d99e0a756611ffa2b5fda" title="Performs Douglas-Peucker approximation (DP).">PolylineSimplification::DouglasPeucker</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (point-to-segment) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="aeff1b138293ca9cfb855d7e1f69dacf5"></a><!-- doxytag: member="psimpl::simplify_douglas_peucker_n" ref="aeff1b138293ca9cfb855d7e1f69dacf5" args="(ForwardIterator first, ForwardIterator last, unsigned count, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_douglas_peucker_n </td>
<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned&#160;</td>
<td class="paramname"><em>count</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs a variant of Douglas-Peucker polyline simplification (DPn). </p>
<p>This is a convenience function that provides template type deduction for PolylineSimplification::DouglasPeuckerAlt.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">count</td><td>the maximum number of points of the simplified polyline </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a241debcb1ad56aa1046f4a4996922411"></a><!-- doxytag: member="psimpl::simplify_lang" ref="a241debcb1ad56aa1046f4a4996922411" args="(BidirectionalIterator first, BidirectionalIterator last, typename std::iterator_traits&lt; BidirectionalIterator &gt;::value_type tol, unsigned look_ahead, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_lang </td>
<td>(</td>
<td class="paramtype">BidirectionalIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">BidirectionalIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits&lt; BidirectionalIterator &gt;::value_type&#160;</td>
<td class="paramname"><em>tol</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned&#160;</td>
<td class="paramname"><em>look_ahead</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs Lang polyline simplification (LA). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a34f6cdc9223e0e99c671e07a15086e3e" title="Performs Lang approximation (LA).">PolylineSimplification::Lang</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (point-to-segment) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">look_ahead</td><td>defines the size of the search region </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a1a805a9e3eef7ca46bffae71a8b49dc0"></a><!-- doxytag: member="psimpl::simplify_nth_point" ref="a1a805a9e3eef7ca46bffae71a8b49dc0" args="(ForwardIterator first, ForwardIterator last, unsigned n, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_nth_point </td>
<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned&#160;</td>
<td class="paramname"><em>n</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs the nth point routine (NP). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ace21c52fe251f03dc87d17e2627f83ed" title="Performs the nth point routine (NP).">PolylineSimplification::NthPoint</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>specifies 'each nth point' </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a433d47ec86872f64bdc2bc792e6444ca"></a><!-- doxytag: member="psimpl::simplify_opheim" ref="a433d47ec86872f64bdc2bc792e6444ca" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type min_tol, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type max_tol, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_opheim </td>
<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits&lt; ForwardIterator &gt;::value_type&#160;</td>
<td class="paramname"><em>min_tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits&lt; ForwardIterator &gt;::value_type&#160;</td>
<td class="paramname"><em>max_tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Performs Opheim polyline simplification (OP). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a0b9bf4a27ef12a4eb103266f50c6eb7e" title="Performs Opheim approximation (OP).">PolylineSimplification::Opheim</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">min_tol</td><td>minimum distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">max_tol</td><td>maximum distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a71a8cbb4f1ebd41a5897c8174bdf8617"></a><!-- doxytag: member="psimpl::simplify_perpendicular_distance" ref="a71a8cbb4f1ebd41a5897c8174bdf8617" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)" -->
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<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
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<tr>
<td class="paramkey"></td>
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<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">typename std::iterator_traits&lt; ForwardIterator &gt;::value_type&#160;</td>
<td class="paramname"><em>tol</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div>
<div class="memdoc">
<p>Performs the perpendicular distance routine (PD). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a2b10f2aeaec1cb48eb053b2b9f632c9c" title="Repeatedly performs the perpendicular distance routine (PD).">PolylineSimplification::PerpendicularDistance</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (segment-to-point) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="aa8c86b0f1529d529fc2ff84d09b00101"></a><!-- doxytag: member="psimpl::simplify_perpendicular_distance" ref="aa8c86b0f1529d529fc2ff84d09b00101" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, unsigned repeat, OutputIterator result)" -->
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<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits&lt; ForwardIterator &gt;::value_type&#160;</td>
<td class="paramname"><em>tol</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned&#160;</td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Repeatedly performs the perpendicular distance routine (PD). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a2b10f2aeaec1cb48eb053b2b9f632c9c" title="Repeatedly performs the perpendicular distance routine (PD).">PolylineSimplification::PerpendicularDistance</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (segment-to-point) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">repeat</td><td>the number of times to successively apply the PD routine. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a12f4b63e11188c5293fe3effabbfba31"></a><!-- doxytag: member="psimpl::simplify_radial_distance" ref="a12f4b63e11188c5293fe3effabbfba31" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)" -->
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<td class="memname">OutputIterator psimpl::simplify_radial_distance </td>
<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits&lt; ForwardIterator &gt;::value_type&#160;</td>
<td class="paramname"><em>tol</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
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<td></td>
<td>)</td>
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</tr>
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<div class="memdoc">
<p>Performs the (radial) distance between points routine (RD). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aa9f3491a3aa88e3b795705045053a649" title="Performs the (radial) distance between points routine (RD).">PolylineSimplification::RadialDistance</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>radial (point-to-point) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
</div>
<a class="anchor" id="a0ae1a1e3ada43f9791ac6ac36df5fdf7"></a><!-- doxytag: member="psimpl::simplify_reumann_witkam" ref="a0ae1a1e3ada43f9791ac6ac36df5fdf7" args="(ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)" -->
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<td>(</td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">ForwardIterator&#160;</td>
<td class="paramname"><em>last</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">typename std::iterator_traits&lt; ForwardIterator &gt;::value_type&#160;</td>
<td class="paramname"><em>tol</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<div class="memdoc">
<p>Performs Reumann-Witkam polyline simplification (RW). </p>
<p>This is a convenience function that provides template type deduction for <a class="el" href="classpsimpl_1_1_polyline_simplification.html#ae938c132f029b4e8e828f5e6c7ee4b16" title="Performs Reumann-Witkam approximation (RW).">PolylineSimplification::ReumannWitkam</a>.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first coordinate of the first polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last coordinate of the last polyline point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">tol</td><td>perpendicular (point-to-line) distance tolerance </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>destination of the simplified polyline </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the simplified polyline </dd></dl>
</div>
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<p>Contains functions for calculating statistics and distances between various geometric entities.
<a href="#details">More...</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="nested-classes"></a>
Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">Statistics</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">POD structure for storing several statistical values. <a href="structpsimpl_1_1math_1_1_statistics.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a6b293d2459ba597c933d6fdb68e91b2c">equal</a> (InputIterator p1, InputIterator p2)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Determines if two points have the exact same coordinates. <a href="#a6b293d2459ba597c933d6fdb68e91b2c"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a10bb3d3d87fa1038d43eee6e5f3fcdda">make_vector</a> (InputIterator p1, InputIterator p2, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a vector from two points. <a href="#a10bb3d3d87fa1038d43eee6e5f3fcdda"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a26bb15089fdfcfc4560b5a318317bbc4">dot</a> (InputIterator v1, InputIterator v2)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the dot product of two vectors. <a href="#a26bb15089fdfcfc4560b5a318317bbc4"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a87a753961c7742b6c48b4f66a0fea697">interpolate</a> (InputIterator p1, InputIterator p2, float fraction, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Peforms linear interpolation between two points. <a href="#a87a753961c7742b6c48b4f66a0fea697"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator1 , class InputIterator2 &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator1 &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ab995b6d68caf4d43172a0de6ee363eb0">point_distance2</a> (InputIterator1 p1, InputIterator2 p2)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared distance of two points. <a href="#ab995b6d68caf4d43172a0de6ee363eb0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ace5d8a6b9ca11eeadd9d13e451651996">line_distance2</a> (InputIterator l1, InputIterator l2, InputIterator p)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared distance between an infinite line (l1, l2) and a point p. <a href="#ace5d8a6b9ca11eeadd9d13e451651996"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a4f3ff418f290d1125622c2388ab976d0">segment_distance2</a> (InputIterator s1, InputIterator s2, InputIterator p)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared distance between a line segment (s1, s2) and a point p. <a href="#a4f3ff418f290d1125622c2388ab976d0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a4b9426204b9964b859b059cc7fbce61a">ray_distance2</a> (InputIterator r1, InputIterator r2, InputIterator p)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared distance between a ray (r1, r2) and a point p. <a href="#a4b9426204b9964b859b059cc7fbce61a"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">Statistics</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ab162cc6f5efcf619c7327b45c793c969">compute_statistics</a> (InputIterator first, InputIterator last)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes various statistics for the range [first, last) <a href="#ab162cc6f5efcf619c7327b45c793c969"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>Contains functions for calculating statistics and distances between various geometric entities. </p>
</div><hr/><h2>Function Documentation</h2>
<a class="anchor" id="ab162cc6f5efcf619c7327b45c793c969"></a><!-- doxytag: member="psimpl::math::compute_statistics" ref="ab162cc6f5efcf619c7327b45c793c969" args="(InputIterator first, InputIterator last)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;class InputIterator &gt; </div>
<table class="memname">
<tr>
<td class="memname"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">Statistics</a> psimpl::math::compute_statistics </td>
<td>(</td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>first</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>last</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Computes various statistics for the range [first, last) </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">first</td><td>the first value </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">last</td><td>one beyond the last value </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the calculated statistics </dd></dl>
</div>
</div>
<a class="anchor" id="a26bb15089fdfcfc4560b5a318317bbc4"></a><!-- doxytag: member="psimpl::math::dot" ref="a26bb15089fdfcfc4560b5a318317bbc4" args="(InputIterator v1, InputIterator v2)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator &gt; </div>
<table class="memname">
<tr>
<td class="memname">std::iterator_traits&lt;InputIterator&gt;::value_type psimpl::math::dot </td>
<td>(</td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>v1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>v2</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Computes the dot product of two vectors. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">v1</td><td>the first coordinate of the first vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">v2</td><td>the first coordinate of the second vector </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the dot product (v1 * v2) </dd></dl>
</div>
</div>
<a class="anchor" id="a6b293d2459ba597c933d6fdb68e91b2c"></a><!-- doxytag: member="psimpl::math::equal" ref="a6b293d2459ba597c933d6fdb68e91b2c" args="(InputIterator p1, InputIterator p2)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator &gt; </div>
<table class="memname">
<tr>
<td class="memname">bool psimpl::math::equal </td>
<td>(</td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>p1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>p2</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Determines if two points have the exact same coordinates. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">p1</td><td>the first coordinate of the first point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">p2</td><td>the first coordinate of the second point </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>true when the points are equal; false otherwise </dd></dl>
</div>
</div>
<a class="anchor" id="a87a753961c7742b6c48b4f66a0fea697"></a><!-- doxytag: member="psimpl::math::interpolate" ref="a87a753961c7742b6c48b4f66a0fea697" args="(InputIterator p1, InputIterator p2, float fraction, OutputIterator result)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator , class OutputIterator &gt; </div>
<table class="memname">
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<td class="memname">OutputIterator psimpl::math::interpolate </td>
<td>(</td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>p1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>p2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float&#160;</td>
<td class="paramname"><em>fraction</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Peforms linear interpolation between two points. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">p1</td><td>the first coordinate of the first point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">p2</td><td>the first coordinate of the second point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">fraction</td><td>the fraction used during interpolation </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>the interpolation result (p1 + fraction * (p2 - p1)) </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the interpolated point </dd></dl>
</div>
</div>
<a class="anchor" id="ace5d8a6b9ca11eeadd9d13e451651996"></a><!-- doxytag: member="psimpl::math::line_distance2" ref="ace5d8a6b9ca11eeadd9d13e451651996" args="(InputIterator l1, InputIterator l2, InputIterator p)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator &gt; </div>
<table class="memname">
<tr>
<td class="memname">std::iterator_traits&lt;InputIterator&gt;::value_type psimpl::math::line_distance2 </td>
<td>(</td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>l1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>l2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>p</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Computes the squared distance between an infinite line (l1, l2) and a point p. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">l1</td><td>the first coordinate of the first point on the line </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">l2</td><td>the first coordinate of the second point on the line </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">p</td><td>the first coordinate of the test point </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>the squared distance </dd></dl>
</div>
</div>
<a class="anchor" id="a10bb3d3d87fa1038d43eee6e5f3fcdda"></a><!-- doxytag: member="psimpl::math::make_vector" ref="a10bb3d3d87fa1038d43eee6e5f3fcdda" args="(InputIterator p1, InputIterator p2, OutputIterator result)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator , class OutputIterator &gt; </div>
<table class="memname">
<tr>
<td class="memname">OutputIterator psimpl::math::make_vector </td>
<td>(</td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>p1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">InputIterator&#160;</td>
<td class="paramname"><em>p2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">OutputIterator&#160;</td>
<td class="paramname"><em>result</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Creates a vector from two points. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">p1</td><td>the first coordinate of the first point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">p2</td><td>the first coordinate of the second point </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">result</td><td>the resulting vector (p2-p1) </td></tr>
</table>
</dd>
</dl>
<dl class="return"><dt><b>Returns:</b></dt><dd>one beyond the last coordinate of the resulting vector </dd></dl>
</div>
</div>
<a class="anchor" id="ab995b6d68caf4d43172a0de6ee363eb0"></a><!-- doxytag: member="psimpl::math::point_distance2" ref="ab995b6d68caf4d43172a0de6ee363eb0" args="(InputIterator1 p1, InputIterator2 p2)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator1 , class InputIterator2 &gt; </div>
<table class="memname">
<tr>
<td class="memname">std::iterator_traits&lt;InputIterator1&gt;::value_type psimpl::math::point_distance2 </td>
<td>(</td>
<td class="paramtype">InputIterator1&#160;</td>
<td class="paramname"><em>p1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">InputIterator2&#160;</td>
<td class="paramname"><em>p2</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Computes the squared distance of two points. </p>
<dl><dt><b>Parameters:</b></dt><dd>
<table class="params">
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Classes</h2></td></tr>
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<div class="textblock"><code>#include &lt;queue&gt;</code><br/>
<code>#include &lt;stack&gt;</code><br/>
<code>#include &lt;numeric&gt;</code><br/>
<code>#include &lt;algorithm&gt;</code><br/>
<code>#include &lt;cmath&gt;</code><br/>
</div>
<p><a href="psimpl_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="nested-classes"></a>
Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1util_1_1scoped__array.html">psimpl::util::scoped_array&lt; T &gt;</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">A smart pointer for holding a dynamically allocated array. <a href="classpsimpl_1_1util_1_1scoped__array.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">psimpl::math::Statistics</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">POD structure for storing several statistical values. <a href="structpsimpl_1_1math_1_1_statistics.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Provides various simplification algorithms for n-dimensional simple polylines. <a href="classpsimpl_1_1_polyline_simplification.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Douglas-Peucker approximation helper class. <a href="classpsimpl_1_1_polyline_simplification_1_1_d_p_helper.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Defines a sub polyline. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Defines the key of a polyline. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Defines a sub polyline including its key. <a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="namespaces"></a>
Namespaces</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html">psimpl</a></td></tr>
<p><tr><td class="mdescLeft">&#160;</td><td class="mdescRight"><p>Root namespace of the polyline simplification library. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1util.html">psimpl::util</a></td></tr>
<p><tr><td class="mdescLeft">&#160;</td><td class="mdescRight"><p>Contains utility functions and classes. </p>
<br/></td></tr>
</p>
<tr><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html">psimpl::math</a></td></tr>
<p><tr><td class="mdescLeft">&#160;</td><td class="mdescRight"><p>Contains functions for calculating statistics and distances between various geometric entities. </p>
<br/></td></tr>
</p>
<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1util.html#ae99d4ca12dc7025d6a31185463d7606d">psimpl::util::swap</a> (scoped_array&lt; T &gt; &amp;a, scoped_array&lt; T &gt; &amp;b)</td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a6b293d2459ba597c933d6fdb68e91b2c">psimpl::math::equal</a> (InputIterator p1, InputIterator p2)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Determines if two points have the exact same coordinates. <a href="#a6b293d2459ba597c933d6fdb68e91b2c"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a10bb3d3d87fa1038d43eee6e5f3fcdda">psimpl::math::make_vector</a> (InputIterator p1, InputIterator p2, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Creates a vector from two points. <a href="#a10bb3d3d87fa1038d43eee6e5f3fcdda"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a26bb15089fdfcfc4560b5a318317bbc4">psimpl::math::dot</a> (InputIterator v1, InputIterator v2)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the dot product of two vectors. <a href="#a26bb15089fdfcfc4560b5a318317bbc4"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a87a753961c7742b6c48b4f66a0fea697">psimpl::math::interpolate</a> (InputIterator p1, InputIterator p2, float fraction, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Peforms linear interpolation between two points. <a href="#a87a753961c7742b6c48b4f66a0fea697"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator1 , class InputIterator2 &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator1 &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ab995b6d68caf4d43172a0de6ee363eb0">psimpl::math::point_distance2</a> (InputIterator1 p1, InputIterator2 p2)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared distance of two points. <a href="#ab995b6d68caf4d43172a0de6ee363eb0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ace5d8a6b9ca11eeadd9d13e451651996">psimpl::math::line_distance2</a> (InputIterator l1, InputIterator l2, InputIterator p)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared distance between an infinite line (l1, l2) and a point p. <a href="#ace5d8a6b9ca11eeadd9d13e451651996"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a4f3ff418f290d1125622c2388ab976d0">psimpl::math::segment_distance2</a> (InputIterator s1, InputIterator s2, InputIterator p)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared distance between a line segment (s1, s2) and a point p. <a href="#a4f3ff418f290d1125622c2388ab976d0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">std::iterator_traits<br class="typebreak"/>
&lt; InputIterator &gt;::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#a4b9426204b9964b859b059cc7fbce61a">psimpl::math::ray_distance2</a> (InputIterator r1, InputIterator r2, InputIterator p)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared distance between a ray (r1, r2) and a point p. <a href="#a4b9426204b9964b859b059cc7fbce61a"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;class InputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">Statistics&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl_1_1math.html#ab162cc6f5efcf619c7327b45c793c969">psimpl::math::compute_statistics</a> (InputIterator first, InputIterator last)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes various statistics for the range [first, last) <a href="#ab162cc6f5efcf619c7327b45c793c969"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a1a805a9e3eef7ca46bffae71a8b49dc0">psimpl::simplify_nth_point</a> (ForwardIterator first, ForwardIterator last, unsigned n, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs the nth point routine (NP). <a href="#a1a805a9e3eef7ca46bffae71a8b49dc0"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a12f4b63e11188c5293fe3effabbfba31">psimpl::simplify_radial_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs the (radial) distance between points routine (RD). <a href="#a12f4b63e11188c5293fe3effabbfba31"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#aa8c86b0f1529d529fc2ff84d09b00101">psimpl::simplify_perpendicular_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, unsigned repeat, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Repeatedly performs the perpendicular distance routine (PD). <a href="#aa8c86b0f1529d529fc2ff84d09b00101"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a71a8cbb4f1ebd41a5897c8174bdf8617">psimpl::simplify_perpendicular_distance</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs the perpendicular distance routine (PD). <a href="#a71a8cbb4f1ebd41a5897c8174bdf8617"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a0ae1a1e3ada43f9791ac6ac36df5fdf7">psimpl::simplify_reumann_witkam</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Reumann-Witkam polyline simplification (RW). <a href="#a0ae1a1e3ada43f9791ac6ac36df5fdf7"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a433d47ec86872f64bdc2bc792e6444ca">psimpl::simplify_opheim</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type min_tol, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type max_tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Opheim polyline simplification (OP). <a href="#a433d47ec86872f64bdc2bc792e6444ca"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class BidirectionalIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a241debcb1ad56aa1046f4a4996922411">psimpl::simplify_lang</a> (BidirectionalIterator first, BidirectionalIterator last, typename std::iterator_traits&lt; BidirectionalIterator &gt;::value_type tol, unsigned look_ahead, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Lang polyline simplification (LA). <a href="#a241debcb1ad56aa1046f4a4996922411"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#ab71cedd762eee4006a85f4321fca6cad">psimpl::simplify_douglas_peucker</a> (ForwardIterator first, ForwardIterator last, typename std::iterator_traits&lt; ForwardIterator &gt;::value_type tol, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs Douglas-Peucker polyline simplification (DP). <a href="#ab71cedd762eee4006a85f4321fca6cad"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#aeff1b138293ca9cfb855d7e1f69dacf5">psimpl::simplify_douglas_peucker_n</a> (ForwardIterator first, ForwardIterator last, unsigned count, OutputIterator result)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Performs a variant of Douglas-Peucker polyline simplification (DPn). <a href="#aeff1b138293ca9cfb855d7e1f69dacf5"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator , class OutputIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">OutputIterator&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a187709033361ba469a60c3a848328118">psimpl::compute_positional_errors2</a> (ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, OutputIterator result, bool *valid=0)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the squared positional error between a polyline and its simplification. <a href="#a187709033361ba469a60c3a848328118"></a><br/></td></tr>
<tr><td class="memTemplParams" colspan="2">template&lt;unsigned DIM, class ForwardIterator &gt; </td></tr>
<tr><td class="memTemplItemLeft" align="right" valign="top">math::Statistics&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacepsimpl.html#a16418e391940b20609bc48289e7222a4">psimpl::compute_positional_error_statistics</a> (ForwardIterator original_first, ForwardIterator original_last, ForwardIterator simplified_first, ForwardIterator simplified_last, bool *valid=0)</td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes statistics for the positional errors between a polyline and its simplification. <a href="#a16418e391940b20609bc48289e7222a4"></a><br/></td></tr>
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<div class="title">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo Member List</div> </div>
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This is the complete list of members for <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</a>, including all inherited members.<table>
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<!-- doxytag: class="psimpl::PolylineSimplification::DPHelper::KeyInfo" -->
<p>Defines the key of a polyline.
<a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#details">More...</a></p>
<p><a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info-members.html">List of all members.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#ae9db44331df497b0e20e97f7b1a93491">KeyInfo</a> (<a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#aa4ea63f0cb9abd4c7001d3f835a47ae4">index</a>=0, <a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#a18fc8b4698754902fa697d9ea92629f4">dist2</a>=0)</td></tr>
<tr><td colspan="2"><h2><a name="pub-attribs"></a>
Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#aa4ea63f0cb9abd4c7001d3f835a47ae4">index</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#a18fc8b4698754902fa697d9ea92629f4">dist2</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">coord index of the key <a href="#a18fc8b4698754902fa697d9ea92629f4"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt;<br/>
struct psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo</h3>
<p>Defines the key of a polyline. </p>
</div><hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="ae9db44331df497b0e20e97f7b1a93491"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::KeyInfo::KeyInfo" ref="ae9db44331df497b0e20e97f7b1a93491" args="(ptr_diff_type index=0, value_type dist2=0)" -->
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template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
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<td class="memname"><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::KeyInfo::KeyInfo </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
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<td>)</td>
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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a18fc8b4698754902fa697d9ea92629f4"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::KeyInfo::dist2" ref="a18fc8b4698754902fa697d9ea92629f4" args="" -->
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template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
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<td class="memname"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#aacad79ca2e6dc004483838f460ab8df1">value_type</a> <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::<a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#a18fc8b4698754902fa697d9ea92629f4">DPHelper::KeyInfo::dist2</a></td>
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<p>coord index of the key </p>
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<a class="anchor" id="aa4ea63f0cb9abd4c7001d3f835a47ae4"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::KeyInfo::index" ref="aa4ea63f0cb9abd4c7001d3f835a47ae4" args="" -->
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<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
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<td class="memname"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::<a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html#aa4ea63f0cb9abd4c7001d3f835a47ae4">DPHelper::KeyInfo::index</a></td>
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<hr/>The documentation for this struct was generated from the following file:<ul>
<li>D:/Code/Projects/psimpl/trunk/lib/<a class="el" href="psimpl_8h_source.html">psimpl.h</a></li>
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This is the complete list of members for <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a>, including all inherited members.<table>
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<tr class="memlist"><td><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6f1943bf7fcd5349e9d312a222804688">last</a></td><td><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a></td><td></td></tr>
<tr class="memlist"><td><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a77018563df501cf3b4ef79d921086314">SubPoly</a>(ptr_diff_type first=0, ptr_diff_type last=0)</td><td><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</a></td><td><code> [inline]</code></td></tr>
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<!-- doxytag: class="psimpl::PolylineSimplification::DPHelper::SubPoly" -->
<p>Defines a sub polyline.
<a href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#details">More...</a></p>
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<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a77018563df501cf3b4ef79d921086314">SubPoly</a> (<a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6e072a2f6fe795c72870b498ec96e564">first</a>=0, <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6f1943bf7fcd5349e9d312a222804688">last</a>=0)</td></tr>
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Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6e072a2f6fe795c72870b498ec96e564">first</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6f1943bf7fcd5349e9d312a222804688">last</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">coord index of the first point <a href="#a6f1943bf7fcd5349e9d312a222804688"></a><br/></td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt;<br/>
struct psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPoly</h3>
<p>Defines a sub polyline. </p>
</div><hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="a77018563df501cf3b4ef79d921086314"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::SubPoly::SubPoly" ref="a77018563df501cf3b4ef79d921086314" args="(ptr_diff_type first=0, ptr_diff_type last=0)" -->
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template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
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<td>(</td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
<td class="paramname"><em>first</em> = <code>0</code>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
<td class="paramname"><em>last</em> = <code>0</code>&#160;</td>
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<td>)</td>
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<a class="anchor" id="a6e072a2f6fe795c72870b498ec96e564"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::SubPoly::first" ref="a6e072a2f6fe795c72870b498ec96e564" args="" -->
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template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
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<td class="memname"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::<a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6e072a2f6fe795c72870b498ec96e564">DPHelper::SubPoly::first</a></td>
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<a class="anchor" id="a6f1943bf7fcd5349e9d312a222804688"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::SubPoly::last" ref="a6f1943bf7fcd5349e9d312a222804688" args="" -->
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template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
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<td class="memname"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::<a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly.html#a6f1943bf7fcd5349e9d312a222804688">DPHelper::SubPoly::last</a></td>
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<p>coord index of the first point </p>
</div>
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<hr/>The documentation for this struct was generated from the following file:<ul>
<li>D:/Code/Projects/psimpl/trunk/lib/<a class="el" href="psimpl_8h_source.html">psimpl.h</a></li>
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<div class="title">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt Member List</div> </div>
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This is the complete list of members for <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html">psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</a>, including all inherited members.<table>
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<p>Defines a sub polyline including its key.
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<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a173dc5811db508a92806559d2e7d1a14">SubPolyAlt</a> (<a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a92345917355c59fbc19704c01a4bfa2d">first</a>=0, <a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a4b6e337ce1250efd9599b7df99922fcf">last</a>=0)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a737d39204cbf1d26e4d7dccf267f2bc9">operator&lt;</a> (const <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html">SubPolyAlt</a> &amp;other) const </td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">key of this sub poly <a href="#a737d39204cbf1d26e4d7dccf267f2bc9"></a><br/></td></tr>
<tr><td colspan="2"><h2><a name="pub-attribs"></a>
Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a92345917355c59fbc19704c01a4bfa2d">first</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a4b6e337ce1250efd9599b7df99922fcf">last</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">coord index of the first point <a href="#a4b6e337ce1250efd9599b7df99922fcf"></a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">KeyInfo</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#afa58fb132744d1a2ba4c7ab4ddbc00fb">keyInfo</a></td></tr>
<tr><td class="mdescLeft">&#160;</td><td class="mdescRight">coord index of the last point <a href="#afa58fb132744d1a2ba4c7ab4ddbc00fb"></a><br/></td></tr>
</table>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><h3>template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt;<br/>
struct psimpl::PolylineSimplification&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt</h3>
<p>Defines a sub polyline including its key. </p>
</div><hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="a173dc5811db508a92806559d2e7d1a14"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::SubPolyAlt::SubPolyAlt" ref="a173dc5811db508a92806559d2e7d1a14" args="(ptr_diff_type first=0, ptr_diff_type last=0)" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
<table class="memname">
<tr>
<td class="memname"><a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt::SubPolyAlt </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
<td class="paramname"><em>first</em> = <code>0</code>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a>&#160;</td>
<td class="paramname"><em>last</em> = <code>0</code>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td><code> [inline]</code></td>
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<div class="memdoc">
</div>
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<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a737d39204cbf1d26e4d7dccf267f2bc9"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::SubPolyAlt::operator&lt;" ref="a737d39204cbf1d26e4d7dccf267f2bc9" args="(const SubPolyAlt &amp;other) const " -->
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<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
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<td class="memname">bool <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::DPHelper::SubPolyAlt::operator&lt; </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html">SubPolyAlt</a> &amp;&#160;</td>
<td class="paramname"><em>other</em></td><td>)</td>
<td> const<code> [inline]</code></td>
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<div class="memdoc">
<p>key of this sub poly </p>
</div>
</div>
<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a92345917355c59fbc19704c01a4bfa2d"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::SubPolyAlt::first" ref="a92345917355c59fbc19704c01a4bfa2d" args="" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
<table class="memname">
<tr>
<td class="memname"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::<a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a92345917355c59fbc19704c01a4bfa2d">DPHelper::SubPolyAlt::first</a></td>
</tr>
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<div class="memdoc">
</div>
</div>
<a class="anchor" id="afa58fb132744d1a2ba4c7ab4ddbc00fb"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::SubPolyAlt::keyInfo" ref="afa58fb132744d1a2ba4c7ab4ddbc00fb" args="" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
<table class="memname">
<tr>
<td class="memname"><a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_key_info.html">KeyInfo</a> <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::<a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#afa58fb132744d1a2ba4c7ab4ddbc00fb">DPHelper::SubPolyAlt::keyInfo</a></td>
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<div class="memdoc">
<p>coord index of the last point </p>
</div>
</div>
<a class="anchor" id="a4b6e337ce1250efd9599b7df99922fcf"></a><!-- doxytag: member="psimpl::PolylineSimplification::DPHelper::SubPolyAlt::last" ref="a4b6e337ce1250efd9599b7df99922fcf" args="" -->
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;unsigned DIM, class InputIterator, class OutputIterator&gt; </div>
<table class="memname">
<tr>
<td class="memname"><a class="el" href="classpsimpl_1_1_polyline_simplification.html#a08f998ecc4af984c070603b489b3ce28">ptr_diff_type</a> <a class="el" href="classpsimpl_1_1_polyline_simplification.html">psimpl::PolylineSimplification</a>&lt; DIM, InputIterator, OutputIterator &gt;::<a class="el" href="structpsimpl_1_1_polyline_simplification_1_1_d_p_helper_1_1_sub_poly_alt.html#a4b6e337ce1250efd9599b7df99922fcf">DPHelper::SubPolyAlt::last</a></td>
</tr>
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</div>
<div class="memdoc">
<p>coord index of the first point </p>
</div>
</div>
<hr/>The documentation for this struct was generated from the following file:<ul>
<li>D:/Code/Projects/psimpl/trunk/lib/<a class="el" href="psimpl_8h_source.html">psimpl.h</a></li>
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<tr class="memlist"><td><a class="el" href="structpsimpl_1_1math_1_1_statistics.html#ae9f672e092297b56fc28de70802b4fcb">max</a></td><td><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">psimpl::math::Statistics</a></td><td></td></tr>
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<tr class="memlist"><td><a class="el" href="structpsimpl_1_1math_1_1_statistics.html#acc29e12d945e80f6c36702c3d03c5d45">Statistics</a>()</td><td><a class="el" href="structpsimpl_1_1math_1_1_statistics.html">psimpl::math::Statistics</a></td><td><code> [inline]</code></td></tr>
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<!-- doxytag: class="psimpl::math::Statistics" -->
<p>POD structure for storing several statistical values.
<a href="structpsimpl_1_1math_1_1_statistics.html#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="psimpl_8h_source.html">psimpl.h</a>&gt;</code></p>
<p><a href="structpsimpl_1_1math_1_1_statistics-members.html">List of all members.</a></p>
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Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html#acc29e12d945e80f6c36702c3d03c5d45">Statistics</a> ()</td></tr>
<tr><td colspan="2"><h2><a name="pub-attribs"></a>
Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html#ae9f672e092297b56fc28de70802b4fcb">max</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html#a7fe8b670f8f9b110303fb797dc900c85">sum</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html#a5ec6444e6cb5bbf0b5f2820a5ba45f40">mean</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structpsimpl_1_1math_1_1_statistics.html#af2f6f43cb05903f393c454bf87221f36">std</a></td></tr>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock"><p>POD structure for storing several statistical values. </p>
</div><hr/><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" id="acc29e12d945e80f6c36702c3d03c5d45"></a><!-- doxytag: member="psimpl::math::Statistics::Statistics" ref="acc29e12d945e80f6c36702c3d03c5d45" args="()" -->
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<td class="memname">psimpl::math::Statistics::Statistics </td>
<td>(</td>
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<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="ae9f672e092297b56fc28de70802b4fcb"></a><!-- doxytag: member="psimpl::math::Statistics::max" ref="ae9f672e092297b56fc28de70802b4fcb" args="" -->
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<td class="memname">double <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#ae9f672e092297b56fc28de70802b4fcb">psimpl::math::Statistics::max</a></td>
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<a class="anchor" id="a5ec6444e6cb5bbf0b5f2820a5ba45f40"></a><!-- doxytag: member="psimpl::math::Statistics::mean" ref="a5ec6444e6cb5bbf0b5f2820a5ba45f40" args="" -->
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<td class="memname">double <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#a5ec6444e6cb5bbf0b5f2820a5ba45f40">psimpl::math::Statistics::mean</a></td>
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<a class="anchor" id="af2f6f43cb05903f393c454bf87221f36"></a><!-- doxytag: member="psimpl::math::Statistics::std" ref="af2f6f43cb05903f393c454bf87221f36" args="" -->
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<td class="memname">double <a class="el" href="structpsimpl_1_1math_1_1_statistics.html#af2f6f43cb05903f393c454bf87221f36">psimpl::math::Statistics::std</a></td>
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<hr/>The documentation for this struct was generated from the following file:<ul>
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<h1>Master thesis</h1>
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<a href="./polygon-simplification/index.html"
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