1 | /* |
2 | Copyright - 2017 2023 - wwwouaiebe - Contact: https://www.ouaie.be/ |
3 | |
4 | This program is free software; |
5 | you can redistribute it and/or modify it under the terms of the |
6 | GNU General Public License as published by the Free Software Foundation; |
7 | either version 3 of the License, or any later version. |
8 | |
9 | This program is distributed in the hope that it will be useful, |
10 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
11 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
12 | GNU General Public License for more details. |
13 | |
14 | You should have received a copy of the GNU General Public License |
15 | along with this program; if not, write to the Free Software |
16 | Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA |
17 | */ |
18 | /* |
19 | Changes: |
20 | - v4.0.0: |
21 | - created from v3.6.0 |
22 | Doc reviewed 202208 |
23 | */ |
24 | |
25 | import { ZERO, ONE } from '../../main/Constants.js'; |
26 | |
27 | /* |
28 | Encoded Polyline Algorithm Format |
29 | |
30 | Polyline encoding is a lossy compression algorithm that allows you to store a series of coordinates as a single string. |
31 | Point coordinates are encoded using signed values. If you only have a few static points, you may also wish to use the |
32 | interactive polyline encoding utility. |
33 | |
34 | The encoding process converts a binary value into a series of character codes for ASCII characters using the familiar |
35 | base64 encoding scheme: to ensure proper display of these characters, encoded values are summed with 63 |
36 | (the ASCII character '?') before converting them into ASCII. The algorithm also checks for additional character codes |
37 | for a given point by checking the least significant bit of each byte group; if this bit is set to 1, the point is not |
38 | yet fully formed and additional data must follow. |
39 | |
40 | Additionally, to conserve space, points only include the offset from the previous point (except of course for the first |
41 | point). All points are encoded in Base64 as signed integers, as latitudes and longitudes are signed values. The encoding |
42 | format within a polyline needs to represent two coordinates representing latitude and longitude to a reasonable precision. |
43 | Given a maximum longitude of +/- 180 degrees to a precision of 5 decimal places (180.00000 to -180.00000), this results |
44 | in the need for a 32 bit signed binary integer value. |
45 | |
46 | Note that the backslash is interpreted as an escape character within string literals. Any output of this utility should |
47 | convert backslash characters to double-backslashes within string literals. |
48 | |
49 | The steps for encoding such a signed value are specified below. |
50 | |
51 | Take the initial signed value: |
52 | -179.9832104 |
53 | Take the decimal value and multiply it by 1e5, rounding the result: |
54 | -17998321 |
55 | Convert the decimal value to binary. Note that a negative value must be calculated using its two's complement by |
56 | inverting the binary value and adding one to the result: |
57 | 00000001 00010010 10100001 11110001 |
58 | 11111110 11101101 01011110 00001110 |
59 | 11111110 11101101 01011110 00001111 |
60 | Left-shift the binary value one bit: |
61 | 11111101 11011010 10111100 00011110 |
62 | If the original decimal value is negative, invert this encoding: |
63 | 00000010 00100101 01000011 11100001 |
64 | Break the binary value out into 5-bit chunks (starting from the right hand side): |
65 | 00001 00010 01010 10000 11111 00001 |
66 | Place the 5-bit chunks into reverse order: |
67 | 00001 11111 10000 01010 00010 00001 |
68 | OR each value with 0x20 if another bit chunk follows: |
69 | 100001 111111 110000 101010 100010 000001 |
70 | Convert each value to decimal: |
71 | 33 63 48 42 34 1 |
72 | Add 63 to each value: |
73 | 96 126 111 105 97 64 |
74 | Convert each value to its ASCII equivalent: |
75 | `~oia@ |
76 | |
77 | The table below shows some examples of encoded points, showing the encodings as a series of offsets from |
78 | previous points. |
79 | |
80 | Example |
81 | |
82 | Points: (38.5, -120.2), (40.7, -120.95), (43.252, -126.453) |
83 | Latitude Longitude Latitude Longitude Change In Change In Encoded Encoded Encoded |
84 | in E5 in E5 Latitude Longitude Latitude Longitude Point |
85 | 38.5 -120.2 3850000 -12020000 +3850000 -12020000 _p~iF ~ps|U _p~iF~ps|U |
86 | 40.7 -120.95 4070000 -12095000 +220000 -75000 _ulL nnqC _ulLnnqC |
87 | 43.252 -126.453 4325200 -12645300 +255200 -550300 _mqN vxq`@ _mqNvxq`@ |
88 | |
89 | Encoded polyline: _p~iF~ps|U_ulLnnqC_mqNvxq`@ |
90 | */ |
91 | |
92 | /* ------------------------------------------------------------------------------------------------------------------------- */ |
93 | /** |
94 | Encoder/decoder to encode or decode a polyline into a string. |
95 | |
96 | See thePolylineEncoder for the one and only one instance of this class |
97 | |
98 | Based on Mark McClure polyline encoder (more info needed...) |
99 | |
100 | - See https://github.com/Project-OSRM/osrm-frontend/blob/master/WebContent/routing/OSRM.RoutingGeometry.js |
101 | - See https://github.com/graphhopper/directions-api-js-client/blob/master/src/GHUtil.js GHUtil.prototype.decodePath |
102 | - See https://developers.google.com/maps/documentation/utilities/polylinealgorithm |
103 | - See https://github.com/mapbox/polyline |
104 | */ |
105 | /* ------------------------------------------------------------------------------------------------------------------------- */ |
106 | |
107 | class PolylineEncoder { |
108 | |
109 | /** |
110 | Simple constant to use for computations |
111 | @type {Number} |
112 | */ |
113 | |
114 | // eslint-disable-next-line no-magic-numbers |
115 | static get #DOT5 ( ) { return 0.5; } |
116 | |
117 | /** |
118 | Simple constant to use for computations |
119 | @type {Number} |
120 | */ |
121 | |
122 | // eslint-disable-next-line no-magic-numbers |
123 | static get #NUMBER5 ( ) { return 5; } |
124 | |
125 | /** |
126 | Simple constant to use for computations |
127 | @type {Number} |
128 | */ |
129 | |
130 | // eslint-disable-next-line no-magic-numbers |
131 | static get #NUMBER10 ( ) { return 10; } |
132 | |
133 | /** |
134 | Simple constant to use for computations |
135 | @type {Number} |
136 | */ |
137 | |
138 | // eslint-disable-next-line no-magic-numbers |
139 | static get #NUMBER31 ( ) { return 0x1f; } |
140 | |
141 | /** |
142 | Simple constant to use for computations |
143 | @type {Number} |
144 | */ |
145 | |
146 | // eslint-disable-next-line no-magic-numbers |
147 | static get #NUMBER32 ( ) { return 0x20; } |
148 | |
149 | /** |
150 | Simple constant to use for computations |
151 | @type {Number} |
152 | */ |
153 | |
154 | // eslint-disable-next-line no-magic-numbers |
155 | static get #NUMBER63 ( ) { return 0x3f; } |
156 | |
157 | /** |
158 | This method round a number in the same way than Python 2 |
159 | @param {Number} value The value to round |
160 | @return {Number} The rounded value |
161 | */ |
162 | |
163 | #python2Round ( value ) { |
164 | return Math.floor ( Math.abs ( value ) + PolylineEncoder.#DOT5 ) * ( ZERO <= value ? ONE : -ONE ); |
165 | } |
166 | |
167 | /** |
168 | Helper method for the encode... |
169 | @param {<array.<number>} current The current coordinates to encode |
170 | @param {<array.<number>} previous The previously encoded coordinates |
171 | @param {Number} factorD The precision to use |
172 | */ |
173 | |
174 | #encodeDelta ( current, previous, factorD ) { |
175 | const currentCoordRound = this.#python2Round ( current * factorD ); |
176 | const previousCoordRound = this.#python2Round ( previous * factorD ); |
177 | let coordinateDelta = currentCoordRound - previousCoordRound; |
178 | /* eslint-disable no-bitwise */ |
179 | coordinateDelta <<= ONE; |
180 | if ( ZERO > currentCoordRound - previousCoordRound ) { |
181 | coordinateDelta = ~ coordinateDelta; |
182 | } |
183 | let outputDelta = ''; |
184 | while ( PolylineEncoder.#NUMBER32 <= coordinateDelta ) { |
185 | outputDelta += |
186 | String.fromCharCode ( |
187 | ( |
188 | PolylineEncoder.#NUMBER32 |
189 | | |
190 | ( coordinateDelta & PolylineEncoder.#NUMBER31 ) |
191 | ) + |
192 | PolylineEncoder.#NUMBER63 |
193 | ); |
194 | coordinateDelta >>= PolylineEncoder.#NUMBER5; |
195 | } |
196 | /* eslint-enable no-bitwise */ |
197 | outputDelta += String.fromCharCode ( coordinateDelta + PolylineEncoder.#NUMBER63 ); |
198 | return outputDelta; |
199 | } |
200 | |
201 | /** |
202 | tmp variable for decode and decodeDelta methods communication (cannot use parameter the two functions are modifying the |
203 | value ) |
204 | @type {Number} |
205 | */ |
206 | |
207 | #index; |
208 | |
209 | /** |
210 | Helper method for the decode... |
211 | @param {String} encodedString The string to decode |
212 | */ |
213 | |
214 | #decodeDelta ( encodedString ) { |
215 | let byte = null; |
216 | let shift = ZERO; |
217 | let result = ZERO; |
218 | do { |
219 | byte = encodedString.charCodeAt ( this.#index ++ ) - PolylineEncoder.#NUMBER63; |
220 | /* eslint-disable no-bitwise */ |
221 | result |= ( byte & PolylineEncoder.#NUMBER31 ) << shift; |
222 | shift += PolylineEncoder.#NUMBER5; |
223 | } while ( PolylineEncoder.#NUMBER32 <= byte ); |
224 | return ( ( result & ONE ) ? ~ ( result >> ONE ) : ( result >> ONE ) ); |
225 | /* eslint-enable no-bitwise */ |
226 | } |
227 | |
228 | /** |
229 | The constructor |
230 | */ |
231 | |
232 | constructor ( ) { |
233 | Object.freeze ( this ); |
234 | } |
235 | |
236 | /** |
237 | encode an array of coordinates to a string ( coordinates can be 1d or 2d or 3d or more...) |
238 | @param {Array.<Array.<number>>} coordinatesArray the coordinates to encode |
239 | @param {Array.<Number>} precisions an array with the precision to use for each dimension |
240 | @return {String} the encoded coordinates |
241 | */ |
242 | |
243 | encode ( coordinatesArray, precisions ) { |
244 | if ( ! coordinatesArray.length ) { |
245 | return ''; |
246 | } |
247 | |
248 | const dimensions = precisions.length; |
249 | const factors = Array.from ( precisions, precision => Math.pow ( PolylineEncoder.#NUMBER10, precision ) ); |
250 | |
251 | let output = ''; |
252 | for ( let counter = 0; counter < dimensions; counter ++ ) { |
253 | output += this.#encodeDelta ( coordinatesArray [ ZERO ] [ counter ], ZERO, factors [ counter ] ); |
254 | } |
255 | for ( let coordCounter = ONE; coordCounter < coordinatesArray.length; coordCounter ++ ) { |
256 | const currentCoord = coordinatesArray [ coordCounter ]; |
257 | const previousCoord = coordinatesArray [ coordCounter - ONE ]; |
258 | for ( let counter = 0; counter < dimensions; counter ++ ) { |
259 | output += this.#encodeDelta ( currentCoord [ counter ], previousCoord [ counter ], factors [ counter ] ); |
260 | } |
261 | } |
262 | |
263 | return output; |
264 | } |
265 | |
266 | /** |
267 | decode a string into an array of coordinates (coordinates can be 1d, 2d, 3d or more...) |
268 | @param {String} encodedString the string to decode |
269 | @param {Array.<Number>} precisions an array with the precision to use for each dimension |
270 | @return {Array.<Array.<number>>} the decoded coordinates |
271 | */ |
272 | |
273 | decode ( encodedString, precisions ) { |
274 | const dimensions = precisions.length; |
275 | if ( ! encodedString || ZERO === encodedString.length ) { |
276 | return [ ]; |
277 | } |
278 | |
279 | this.#index = ZERO; |
280 | const allDecodedValues = []; |
281 | const factors = Array.from ( precisions, precision => Math.pow ( PolylineEncoder.#NUMBER10, precision ) ); |
282 | const tmpValues = new Array ( dimensions ).fill ( ZERO ); |
283 | |
284 | while ( this.#index < encodedString.length ) { |
285 | const decodedValues = new Array ( dimensions ).fill ( ZERO ); |
286 | for ( let coordCounter = 0; coordCounter < dimensions; coordCounter ++ ) { |
287 | tmpValues [ coordCounter ] += this.#decodeDelta ( encodedString ); |
288 | decodedValues [ coordCounter ] = tmpValues [ coordCounter ] / factors [ coordCounter ]; |
289 | } |
290 | allDecodedValues.push ( decodedValues ); |
291 | } |
292 | |
293 | return allDecodedValues; |
294 | } |
295 | } |
296 | |
297 | export default PolylineEncoder; |
298 | |
299 | /* --- End of file --------------------------------------------------------------------------------------------------------- */ |
300 |