1024 lines
		
	
	
		
			28 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
			
		
		
	
	
			1024 lines
		
	
	
		
			28 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
| 'use strict';
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| 
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| const { collectStylesheet, computeStyle } = require('../lib/style.js');
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| const { pathElems } = require('./_collections.js');
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| const { path2js, js2path } = require('./_path.js');
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| const { applyTransforms } = require('./_applyTransforms.js');
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| const { cleanupOutData } = require('../lib/svgo/tools');
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| 
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| exports.name = 'convertPathData';
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| exports.type = 'visitor';
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| exports.active = true;
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| exports.description =
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|   'optimizes path data: writes in shorter form, applies transformations';
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| 
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| exports.params = {
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|   applyTransforms: true,
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|   applyTransformsStroked: true,
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|   makeArcs: {
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|     threshold: 2.5, // coefficient of rounding error
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|     tolerance: 0.5, // percentage of radius
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|   },
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|   straightCurves: true,
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|   lineShorthands: true,
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|   curveSmoothShorthands: true,
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|   floatPrecision: 3,
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|   transformPrecision: 5,
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|   removeUseless: true,
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|   collapseRepeated: true,
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|   utilizeAbsolute: true,
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|   leadingZero: true,
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|   negativeExtraSpace: true,
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|   noSpaceAfterFlags: false, // a20 60 45 0 1 30 20 → a20 60 45 0130 20
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|   forceAbsolutePath: false,
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| };
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| 
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| let roundData;
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| let precision;
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| let error;
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| let arcThreshold;
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| let arcTolerance;
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| 
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| /**
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|  * Convert absolute Path to relative,
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|  * collapse repeated instructions,
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|  * detect and convert Lineto shorthands,
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|  * remove useless instructions like "l0,0",
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|  * trim useless delimiters and leading zeros,
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|  * decrease accuracy of floating-point numbers.
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|  *
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|  * @see https://www.w3.org/TR/SVG11/paths.html#PathData
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|  *
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|  * @param {Object} item current iteration item
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|  * @param {Object} params plugin params
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|  * @return {Boolean} if false, item will be filtered out
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|  *
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|  * @author Kir Belevich
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|  */
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| exports.fn = (root, params) => {
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|   const stylesheet = collectStylesheet(root);
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|   return {
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|     element: {
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|       enter: (node) => {
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|         if (pathElems.includes(node.name) && node.attributes.d != null) {
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|           const computedStyle = computeStyle(stylesheet, node);
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|           precision = params.floatPrecision;
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|           error =
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|             precision !== false
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|               ? +Math.pow(0.1, precision).toFixed(precision)
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|               : 1e-2;
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|           roundData = precision > 0 && precision < 20 ? strongRound : round;
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|           if (params.makeArcs) {
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|             arcThreshold = params.makeArcs.threshold;
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|             arcTolerance = params.makeArcs.tolerance;
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|           }
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|           const hasMarkerMid = computedStyle['marker-mid'] != null;
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| 
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|           const maybeHasStroke =
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|             computedStyle.stroke &&
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|             (computedStyle.stroke.type === 'dynamic' ||
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|               computedStyle.stroke.value !== 'none');
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|           const maybeHasLinecap =
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|             computedStyle['stroke-linecap'] &&
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|             (computedStyle['stroke-linecap'].type === 'dynamic' ||
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|               computedStyle['stroke-linecap'].value !== 'butt');
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|           const maybeHasStrokeAndLinecap = maybeHasStroke && maybeHasLinecap;
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| 
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|           var data = path2js(node);
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| 
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|           // TODO: get rid of functions returns
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|           if (data.length) {
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|             if (params.applyTransforms) {
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|               applyTransforms(node, data, params);
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|             }
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| 
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|             convertToRelative(data);
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| 
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|             data = filters(data, params, {
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|               maybeHasStrokeAndLinecap,
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|               hasMarkerMid,
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|             });
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| 
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|             if (params.utilizeAbsolute) {
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|               data = convertToMixed(data, params);
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|             }
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| 
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|             js2path(node, data, params);
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|           }
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|         }
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|       },
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|     },
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|   };
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| };
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| 
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| /**
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|  * Convert absolute path data coordinates to relative.
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|  *
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|  * @param {Array} path input path data
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|  * @param {Object} params plugin params
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|  * @return {Array} output path data
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|  */
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| const convertToRelative = (pathData) => {
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|   let start = [0, 0];
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|   let cursor = [0, 0];
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|   let prevCoords = [0, 0];
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| 
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|   for (let i = 0; i < pathData.length; i += 1) {
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|     const pathItem = pathData[i];
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|     let { command, args } = pathItem;
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| 
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|     // moveto (x y)
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|     if (command === 'm') {
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|       // update start and cursor
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|       cursor[0] += args[0];
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|       cursor[1] += args[1];
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|       start[0] = cursor[0];
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|       start[1] = cursor[1];
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|     }
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|     if (command === 'M') {
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|       // M → m
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|       // skip first moveto
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|       if (i !== 0) {
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|         command = 'm';
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|       }
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|       args[0] -= cursor[0];
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|       args[1] -= cursor[1];
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|       // update start and cursor
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|       cursor[0] += args[0];
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|       cursor[1] += args[1];
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|       start[0] = cursor[0];
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|       start[1] = cursor[1];
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|     }
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| 
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|     // lineto (x y)
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|     if (command === 'l') {
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|       cursor[0] += args[0];
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|       cursor[1] += args[1];
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|     }
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|     if (command === 'L') {
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|       // L → l
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|       command = 'l';
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|       args[0] -= cursor[0];
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|       args[1] -= cursor[1];
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|       cursor[0] += args[0];
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|       cursor[1] += args[1];
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|     }
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| 
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|     // horizontal lineto (x)
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|     if (command === 'h') {
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|       cursor[0] += args[0];
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|     }
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|     if (command === 'H') {
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|       // H → h
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|       command = 'h';
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|       args[0] -= cursor[0];
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|       cursor[0] += args[0];
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|     }
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| 
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|     // vertical lineto (y)
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|     if (command === 'v') {
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|       cursor[1] += args[0];
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|     }
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|     if (command === 'V') {
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|       // V → v
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|       command = 'v';
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|       args[0] -= cursor[1];
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|       cursor[1] += args[0];
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|     }
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| 
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|     // curveto (x1 y1 x2 y2 x y)
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|     if (command === 'c') {
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|       cursor[0] += args[4];
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|       cursor[1] += args[5];
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|     }
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|     if (command === 'C') {
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|       // C → c
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|       command = 'c';
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|       args[0] -= cursor[0];
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|       args[1] -= cursor[1];
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|       args[2] -= cursor[0];
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|       args[3] -= cursor[1];
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|       args[4] -= cursor[0];
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|       args[5] -= cursor[1];
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|       cursor[0] += args[4];
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|       cursor[1] += args[5];
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|     }
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| 
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|     // smooth curveto (x2 y2 x y)
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|     if (command === 's') {
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|       cursor[0] += args[2];
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|       cursor[1] += args[3];
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|     }
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|     if (command === 'S') {
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|       // S → s
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|       command = 's';
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|       args[0] -= cursor[0];
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|       args[1] -= cursor[1];
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|       args[2] -= cursor[0];
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|       args[3] -= cursor[1];
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|       cursor[0] += args[2];
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|       cursor[1] += args[3];
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|     }
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| 
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|     // quadratic Bézier curveto (x1 y1 x y)
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|     if (command === 'q') {
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|       cursor[0] += args[2];
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|       cursor[1] += args[3];
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|     }
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|     if (command === 'Q') {
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|       // Q → q
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|       command = 'q';
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|       args[0] -= cursor[0];
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|       args[1] -= cursor[1];
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|       args[2] -= cursor[0];
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|       args[3] -= cursor[1];
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|       cursor[0] += args[2];
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|       cursor[1] += args[3];
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|     }
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| 
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|     // smooth quadratic Bézier curveto (x y)
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|     if (command === 't') {
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|       cursor[0] += args[0];
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|       cursor[1] += args[1];
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|     }
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|     if (command === 'T') {
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|       // T → t
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|       command = 't';
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|       args[0] -= cursor[0];
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|       args[1] -= cursor[1];
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|       cursor[0] += args[0];
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|       cursor[1] += args[1];
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|     }
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| 
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|     // elliptical arc (rx ry x-axis-rotation large-arc-flag sweep-flag x y)
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|     if (command === 'a') {
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|       cursor[0] += args[5];
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|       cursor[1] += args[6];
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|     }
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|     if (command === 'A') {
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|       // A → a
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|       command = 'a';
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|       args[5] -= cursor[0];
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|       args[6] -= cursor[1];
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|       cursor[0] += args[5];
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|       cursor[1] += args[6];
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|     }
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| 
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|     // closepath
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|     if (command === 'Z' || command === 'z') {
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|       // reset cursor
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|       cursor[0] = start[0];
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|       cursor[1] = start[1];
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|     }
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| 
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|     pathItem.command = command;
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|     pathItem.args = args;
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|     // store absolute coordinates for later use
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|     // base should preserve reference from other element
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|     pathItem.base = prevCoords;
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|     pathItem.coords = [cursor[0], cursor[1]];
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|     prevCoords = pathItem.coords;
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|   }
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| 
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|   return pathData;
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| };
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| 
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| /**
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|  * Main filters loop.
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|  *
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|  * @param {Array} path input path data
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|  * @param {Object} params plugin params
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|  * @return {Array} output path data
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|  */
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| function filters(path, params, { maybeHasStrokeAndLinecap, hasMarkerMid }) {
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|   var stringify = data2Path.bind(null, params),
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|     relSubpoint = [0, 0],
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|     pathBase = [0, 0],
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|     prev = {};
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| 
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|   path = path.filter(function (item, index, path) {
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|     let command = item.command;
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|     let data = item.args;
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|     let next = path[index + 1];
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| 
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|     if (command !== 'Z' && command !== 'z') {
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|       var sdata = data,
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|         circle;
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| 
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|       if (command === 's') {
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|         sdata = [0, 0].concat(data);
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| 
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|         if (command === 'c' || command === 's') {
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|           var pdata = prev.args,
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|             n = pdata.length;
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| 
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|           // (-x, -y) of the prev tangent point relative to the current point
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|           sdata[0] = pdata[n - 2] - pdata[n - 4];
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|           sdata[1] = pdata[n - 1] - pdata[n - 3];
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|         }
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|       }
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| 
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|       // convert curves to arcs if possible
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|       if (
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|         params.makeArcs &&
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|         (command == 'c' || command == 's') &&
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|         isConvex(sdata) &&
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|         (circle = findCircle(sdata))
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|       ) {
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|         var r = roundData([circle.radius])[0],
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|           angle = findArcAngle(sdata, circle),
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|           sweep = sdata[5] * sdata[0] - sdata[4] * sdata[1] > 0 ? 1 : 0,
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|           arc = {
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|             command: 'a',
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|             args: [r, r, 0, 0, sweep, sdata[4], sdata[5]],
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|             coords: item.coords.slice(),
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|             base: item.base,
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|           },
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|           output = [arc],
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|           // relative coordinates to adjust the found circle
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|           relCenter = [
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|             circle.center[0] - sdata[4],
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|             circle.center[1] - sdata[5],
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|           ],
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|           relCircle = { center: relCenter, radius: circle.radius },
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|           arcCurves = [item],
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|           hasPrev = 0,
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|           suffix = '',
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|           nextLonghand;
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| 
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|         if (
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|           (prev.command == 'c' &&
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|             isConvex(prev.args) &&
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|             isArcPrev(prev.args, circle)) ||
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|           (prev.command == 'a' && prev.sdata && isArcPrev(prev.sdata, circle))
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|         ) {
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|           arcCurves.unshift(prev);
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|           arc.base = prev.base;
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|           arc.args[5] = arc.coords[0] - arc.base[0];
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|           arc.args[6] = arc.coords[1] - arc.base[1];
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|           var prevData = prev.command == 'a' ? prev.sdata : prev.args;
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|           var prevAngle = findArcAngle(prevData, {
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|             center: [
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|               prevData[4] + circle.center[0],
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|               prevData[5] + circle.center[1],
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|             ],
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|             radius: circle.radius,
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|           });
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|           angle += prevAngle;
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|           if (angle > Math.PI) arc.args[3] = 1;
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|           hasPrev = 1;
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|         }
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| 
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|         // check if next curves are fitting the arc
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|         for (
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|           var j = index;
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|           (next = path[++j]) && ~'cs'.indexOf(next.command);
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| 
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|         ) {
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|           var nextData = next.args;
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|           if (next.command == 's') {
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|             nextLonghand = makeLonghand(
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|               { command: 's', args: next.args.slice() },
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|               path[j - 1].args
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|             );
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|             nextData = nextLonghand.args;
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|             nextLonghand.args = nextData.slice(0, 2);
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|             suffix = stringify([nextLonghand]);
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|           }
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|           if (isConvex(nextData) && isArc(nextData, relCircle)) {
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|             angle += findArcAngle(nextData, relCircle);
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|             if (angle - 2 * Math.PI > 1e-3) break; // more than 360°
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|             if (angle > Math.PI) arc.args[3] = 1;
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|             arcCurves.push(next);
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|             if (2 * Math.PI - angle > 1e-3) {
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|               // less than 360°
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|               arc.coords = next.coords;
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|               arc.args[5] = arc.coords[0] - arc.base[0];
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|               arc.args[6] = arc.coords[1] - arc.base[1];
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|             } else {
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|               // full circle, make a half-circle arc and add a second one
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|               arc.args[5] = 2 * (relCircle.center[0] - nextData[4]);
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|               arc.args[6] = 2 * (relCircle.center[1] - nextData[5]);
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|               arc.coords = [
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|                 arc.base[0] + arc.args[5],
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|                 arc.base[1] + arc.args[6],
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|               ];
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|               arc = {
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|                 command: 'a',
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|                 args: [
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|                   r,
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|                   r,
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|                   0,
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|                   0,
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|                   sweep,
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|                   next.coords[0] - arc.coords[0],
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|                   next.coords[1] - arc.coords[1],
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|                 ],
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|                 coords: next.coords,
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|                 base: arc.coords,
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|               };
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|               output.push(arc);
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|               j++;
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|               break;
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|             }
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|             relCenter[0] -= nextData[4];
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|             relCenter[1] -= nextData[5];
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|           } else break;
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|         }
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| 
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|         if ((stringify(output) + suffix).length < stringify(arcCurves).length) {
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|           if (path[j] && path[j].command == 's') {
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|             makeLonghand(path[j], path[j - 1].args);
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|           }
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|           if (hasPrev) {
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|             var prevArc = output.shift();
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|             roundData(prevArc.args);
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|             relSubpoint[0] += prevArc.args[5] - prev.args[prev.args.length - 2];
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|             relSubpoint[1] += prevArc.args[6] - prev.args[prev.args.length - 1];
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|             prev.command = 'a';
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|             prev.args = prevArc.args;
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|             item.base = prev.coords = prevArc.coords;
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|           }
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|           arc = output.shift();
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|           if (arcCurves.length == 1) {
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|             item.sdata = sdata.slice(); // preserve curve data for future checks
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|           } else if (arcCurves.length - 1 - hasPrev > 0) {
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|             // filter out consumed next items
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|             path.splice.apply(
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|               path,
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|               [index + 1, arcCurves.length - 1 - hasPrev].concat(output)
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|             );
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|           }
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|           if (!arc) return false;
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|           command = 'a';
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|           data = arc.args;
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|           item.coords = arc.coords;
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|         }
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|       }
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| 
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|       // Rounding relative coordinates, taking in account accummulating error
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|       // to get closer to absolute coordinates. Sum of rounded value remains same:
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|       // l .25 3 .25 2 .25 3 .25 2 -> l .3 3 .2 2 .3 3 .2 2
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|       if (precision !== false) {
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|         if (
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|           command === 'm' ||
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|           command === 'l' ||
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|           command === 't' ||
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|           command === 'q' ||
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|           command === 's' ||
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|           command === 'c'
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|         ) {
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|           for (var i = data.length; i--; ) {
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|             data[i] += item.base[i % 2] - relSubpoint[i % 2];
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|           }
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|         } else if (command == 'h') {
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|           data[0] += item.base[0] - relSubpoint[0];
 | ||
|         } else if (command == 'v') {
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|           data[0] += item.base[1] - relSubpoint[1];
 | ||
|         } else if (command == 'a') {
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|           data[5] += item.base[0] - relSubpoint[0];
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|           data[6] += item.base[1] - relSubpoint[1];
 | ||
|         }
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|         roundData(data);
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| 
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|         if (command == 'h') relSubpoint[0] += data[0];
 | ||
|         else if (command == 'v') relSubpoint[1] += data[0];
 | ||
|         else {
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|           relSubpoint[0] += data[data.length - 2];
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|           relSubpoint[1] += data[data.length - 1];
 | ||
|         }
 | ||
|         roundData(relSubpoint);
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| 
 | ||
|         if (command === 'M' || command === 'm') {
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|           pathBase[0] = relSubpoint[0];
 | ||
|           pathBase[1] = relSubpoint[1];
 | ||
|         }
 | ||
|       }
 | ||
| 
 | ||
|       // convert straight curves into lines segments
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|       if (params.straightCurves) {
 | ||
|         if (
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|           (command === 'c' && isCurveStraightLine(data)) ||
 | ||
|           (command === 's' && isCurveStraightLine(sdata))
 | ||
|         ) {
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|           if (next && next.command == 's') makeLonghand(next, data); // fix up next curve
 | ||
|           command = 'l';
 | ||
|           data = data.slice(-2);
 | ||
|         } else if (command === 'q' && isCurveStraightLine(data)) {
 | ||
|           if (next && next.command == 't') makeLonghand(next, data); // fix up next curve
 | ||
|           command = 'l';
 | ||
|           data = data.slice(-2);
 | ||
|         } else if (
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|           command === 't' &&
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|           prev.command !== 'q' &&
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|           prev.command !== 't'
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|         ) {
 | ||
|           command = 'l';
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|           data = data.slice(-2);
 | ||
|         } else if (command === 'a' && (data[0] === 0 || data[1] === 0)) {
 | ||
|           command = 'l';
 | ||
|           data = data.slice(-2);
 | ||
|         }
 | ||
|       }
 | ||
| 
 | ||
|       // horizontal and vertical line shorthands
 | ||
|       // l 50 0 → h 50
 | ||
|       // l 0 50 → v 50
 | ||
|       if (params.lineShorthands && command === 'l') {
 | ||
|         if (data[1] === 0) {
 | ||
|           command = 'h';
 | ||
|           data.pop();
 | ||
|         } else if (data[0] === 0) {
 | ||
|           command = 'v';
 | ||
|           data.shift();
 | ||
|         }
 | ||
|       }
 | ||
| 
 | ||
|       // collapse repeated commands
 | ||
|       // h 20 h 30 -> h 50
 | ||
|       if (
 | ||
|         params.collapseRepeated &&
 | ||
|         hasMarkerMid === false &&
 | ||
|         (command === 'm' || command === 'h' || command === 'v') &&
 | ||
|         prev.command &&
 | ||
|         command == prev.command.toLowerCase() &&
 | ||
|         ((command != 'h' && command != 'v') ||
 | ||
|           prev.args[0] >= 0 == data[0] >= 0)
 | ||
|       ) {
 | ||
|         prev.args[0] += data[0];
 | ||
|         if (command != 'h' && command != 'v') {
 | ||
|           prev.args[1] += data[1];
 | ||
|         }
 | ||
|         prev.coords = item.coords;
 | ||
|         path[index] = prev;
 | ||
|         return false;
 | ||
|       }
 | ||
| 
 | ||
|       // convert curves into smooth shorthands
 | ||
|       if (params.curveSmoothShorthands && prev.command) {
 | ||
|         // curveto
 | ||
|         if (command === 'c') {
 | ||
|           // c + c → c + s
 | ||
|           if (
 | ||
|             prev.command === 'c' &&
 | ||
|             data[0] === -(prev.args[2] - prev.args[4]) &&
 | ||
|             data[1] === -(prev.args[3] - prev.args[5])
 | ||
|           ) {
 | ||
|             command = 's';
 | ||
|             data = data.slice(2);
 | ||
|           }
 | ||
| 
 | ||
|           // s + c → s + s
 | ||
|           else if (
 | ||
|             prev.command === 's' &&
 | ||
|             data[0] === -(prev.args[0] - prev.args[2]) &&
 | ||
|             data[1] === -(prev.args[1] - prev.args[3])
 | ||
|           ) {
 | ||
|             command = 's';
 | ||
|             data = data.slice(2);
 | ||
|           }
 | ||
| 
 | ||
|           // [^cs] + c → [^cs] + s
 | ||
|           else if (
 | ||
|             prev.command !== 'c' &&
 | ||
|             prev.command !== 's' &&
 | ||
|             data[0] === 0 &&
 | ||
|             data[1] === 0
 | ||
|           ) {
 | ||
|             command = 's';
 | ||
|             data = data.slice(2);
 | ||
|           }
 | ||
|         }
 | ||
| 
 | ||
|         // quadratic Bézier curveto
 | ||
|         else if (command === 'q') {
 | ||
|           // q + q → q + t
 | ||
|           if (
 | ||
|             prev.command === 'q' &&
 | ||
|             data[0] === prev.args[2] - prev.args[0] &&
 | ||
|             data[1] === prev.args[3] - prev.args[1]
 | ||
|           ) {
 | ||
|             command = 't';
 | ||
|             data = data.slice(2);
 | ||
|           }
 | ||
| 
 | ||
|           // t + q → t + t
 | ||
|           else if (
 | ||
|             prev.command === 't' &&
 | ||
|             data[2] === prev.args[0] &&
 | ||
|             data[3] === prev.args[1]
 | ||
|           ) {
 | ||
|             command = 't';
 | ||
|             data = data.slice(2);
 | ||
|           }
 | ||
|         }
 | ||
|       }
 | ||
| 
 | ||
|       // remove useless non-first path segments
 | ||
|       if (params.removeUseless && !maybeHasStrokeAndLinecap) {
 | ||
|         // l 0,0 / h 0 / v 0 / q 0,0 0,0 / t 0,0 / c 0,0 0,0 0,0 / s 0,0 0,0
 | ||
|         if (
 | ||
|           (command === 'l' ||
 | ||
|             command === 'h' ||
 | ||
|             command === 'v' ||
 | ||
|             command === 'q' ||
 | ||
|             command === 't' ||
 | ||
|             command === 'c' ||
 | ||
|             command === 's') &&
 | ||
|           data.every(function (i) {
 | ||
|             return i === 0;
 | ||
|           })
 | ||
|         ) {
 | ||
|           path[index] = prev;
 | ||
|           return false;
 | ||
|         }
 | ||
| 
 | ||
|         // a 25,25 -30 0,1 0,0
 | ||
|         if (command === 'a' && data[5] === 0 && data[6] === 0) {
 | ||
|           path[index] = prev;
 | ||
|           return false;
 | ||
|         }
 | ||
|       }
 | ||
| 
 | ||
|       item.command = command;
 | ||
|       item.args = data;
 | ||
| 
 | ||
|       prev = item;
 | ||
|     } else {
 | ||
|       // z resets coordinates
 | ||
|       relSubpoint[0] = pathBase[0];
 | ||
|       relSubpoint[1] = pathBase[1];
 | ||
|       if (prev.command === 'Z' || prev.command === 'z') return false;
 | ||
|       prev = item;
 | ||
|     }
 | ||
| 
 | ||
|     return true;
 | ||
|   });
 | ||
| 
 | ||
|   return path;
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Writes data in shortest form using absolute or relative coordinates.
 | ||
|  *
 | ||
|  * @param {Array} data input path data
 | ||
|  * @return {Boolean} output
 | ||
|  */
 | ||
| function convertToMixed(path, params) {
 | ||
|   var prev = path[0];
 | ||
| 
 | ||
|   path = path.filter(function (item, index) {
 | ||
|     if (index == 0) return true;
 | ||
|     if (item.command === 'Z' || item.command === 'z') {
 | ||
|       prev = item;
 | ||
|       return true;
 | ||
|     }
 | ||
| 
 | ||
|     var command = item.command,
 | ||
|       data = item.args,
 | ||
|       adata = data.slice();
 | ||
| 
 | ||
|     if (
 | ||
|       command === 'm' ||
 | ||
|       command === 'l' ||
 | ||
|       command === 't' ||
 | ||
|       command === 'q' ||
 | ||
|       command === 's' ||
 | ||
|       command === 'c'
 | ||
|     ) {
 | ||
|       for (var i = adata.length; i--; ) {
 | ||
|         adata[i] += item.base[i % 2];
 | ||
|       }
 | ||
|     } else if (command == 'h') {
 | ||
|       adata[0] += item.base[0];
 | ||
|     } else if (command == 'v') {
 | ||
|       adata[0] += item.base[1];
 | ||
|     } else if (command == 'a') {
 | ||
|       adata[5] += item.base[0];
 | ||
|       adata[6] += item.base[1];
 | ||
|     }
 | ||
| 
 | ||
|     roundData(adata);
 | ||
| 
 | ||
|     var absoluteDataStr = cleanupOutData(adata, params),
 | ||
|       relativeDataStr = cleanupOutData(data, params);
 | ||
| 
 | ||
|     // Convert to absolute coordinates if it's shorter or forceAbsolutePath is true.
 | ||
|     // v-20 -> V0
 | ||
|     // Don't convert if it fits following previous command.
 | ||
|     // l20 30-10-50 instead of l20 30L20 30
 | ||
|     if (
 | ||
|       params.forceAbsolutePath ||
 | ||
|       (absoluteDataStr.length < relativeDataStr.length &&
 | ||
|         !(
 | ||
|           params.negativeExtraSpace &&
 | ||
|           command == prev.command &&
 | ||
|           prev.command.charCodeAt(0) > 96 &&
 | ||
|           absoluteDataStr.length == relativeDataStr.length - 1 &&
 | ||
|           (data[0] < 0 ||
 | ||
|             (/^0\./.test(data[0]) && prev.args[prev.args.length - 1] % 1))
 | ||
|         ))
 | ||
|     ) {
 | ||
|       item.command = command.toUpperCase();
 | ||
|       item.args = adata;
 | ||
|     }
 | ||
| 
 | ||
|     prev = item;
 | ||
| 
 | ||
|     return true;
 | ||
|   });
 | ||
| 
 | ||
|   return path;
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Checks if curve is convex. Control points of such a curve must form
 | ||
|  * a convex quadrilateral with diagonals crosspoint inside of it.
 | ||
|  *
 | ||
|  * @param {Array} data input path data
 | ||
|  * @return {Boolean} output
 | ||
|  */
 | ||
| function isConvex(data) {
 | ||
|   var center = getIntersection([
 | ||
|     0,
 | ||
|     0,
 | ||
|     data[2],
 | ||
|     data[3],
 | ||
|     data[0],
 | ||
|     data[1],
 | ||
|     data[4],
 | ||
|     data[5],
 | ||
|   ]);
 | ||
| 
 | ||
|   return (
 | ||
|     center &&
 | ||
|     data[2] < center[0] == center[0] < 0 &&
 | ||
|     data[3] < center[1] == center[1] < 0 &&
 | ||
|     data[4] < center[0] == center[0] < data[0] &&
 | ||
|     data[5] < center[1] == center[1] < data[1]
 | ||
|   );
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Computes lines equations by two points and returns their intersection point.
 | ||
|  *
 | ||
|  * @param {Array} coords 8 numbers for 4 pairs of coordinates (x,y)
 | ||
|  * @return {Array|undefined} output coordinate of lines' crosspoint
 | ||
|  */
 | ||
| function getIntersection(coords) {
 | ||
|   // Prev line equation parameters.
 | ||
|   var a1 = coords[1] - coords[3], // y1 - y2
 | ||
|     b1 = coords[2] - coords[0], // x2 - x1
 | ||
|     c1 = coords[0] * coords[3] - coords[2] * coords[1], // x1 * y2 - x2 * y1
 | ||
|     // Next line equation parameters
 | ||
|     a2 = coords[5] - coords[7], // y1 - y2
 | ||
|     b2 = coords[6] - coords[4], // x2 - x1
 | ||
|     c2 = coords[4] * coords[7] - coords[5] * coords[6], // x1 * y2 - x2 * y1
 | ||
|     denom = a1 * b2 - a2 * b1;
 | ||
| 
 | ||
|   if (!denom) return; // parallel lines havn't an intersection
 | ||
| 
 | ||
|   var cross = [(b1 * c2 - b2 * c1) / denom, (a1 * c2 - a2 * c1) / -denom];
 | ||
|   if (
 | ||
|     !isNaN(cross[0]) &&
 | ||
|     !isNaN(cross[1]) &&
 | ||
|     isFinite(cross[0]) &&
 | ||
|     isFinite(cross[1])
 | ||
|   ) {
 | ||
|     return cross;
 | ||
|   }
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Decrease accuracy of floating-point numbers
 | ||
|  * in path data keeping a specified number of decimals.
 | ||
|  * Smart rounds values like 2.3491 to 2.35 instead of 2.349.
 | ||
|  * Doesn't apply "smartness" if the number precision fits already.
 | ||
|  *
 | ||
|  * @param {Array} data input data array
 | ||
|  * @return {Array} output data array
 | ||
|  */
 | ||
| function strongRound(data) {
 | ||
|   for (var i = data.length; i-- > 0; ) {
 | ||
|     if (data[i].toFixed(precision) != data[i]) {
 | ||
|       var rounded = +data[i].toFixed(precision - 1);
 | ||
|       data[i] =
 | ||
|         +Math.abs(rounded - data[i]).toFixed(precision + 1) >= error
 | ||
|           ? +data[i].toFixed(precision)
 | ||
|           : rounded;
 | ||
|     }
 | ||
|   }
 | ||
|   return data;
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Simple rounding function if precision is 0.
 | ||
|  *
 | ||
|  * @param {Array} data input data array
 | ||
|  * @return {Array} output data array
 | ||
|  */
 | ||
| function round(data) {
 | ||
|   for (var i = data.length; i-- > 0; ) {
 | ||
|     data[i] = Math.round(data[i]);
 | ||
|   }
 | ||
|   return data;
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Checks if a curve is a straight line by measuring distance
 | ||
|  * from middle points to the line formed by end points.
 | ||
|  *
 | ||
|  * @param {Array} xs array of curve points x-coordinates
 | ||
|  * @param {Array} ys array of curve points y-coordinates
 | ||
|  * @return {Boolean}
 | ||
|  */
 | ||
| 
 | ||
| function isCurveStraightLine(data) {
 | ||
|   // Get line equation a·x + b·y + c = 0 coefficients a, b (c = 0) by start and end points.
 | ||
|   var i = data.length - 2,
 | ||
|     a = -data[i + 1], // y1 − y2 (y1 = 0)
 | ||
|     b = data[i], // x2 − x1 (x1 = 0)
 | ||
|     d = 1 / (a * a + b * b); // same part for all points
 | ||
| 
 | ||
|   if (i <= 1 || !isFinite(d)) return false; // curve that ends at start point isn't the case
 | ||
| 
 | ||
|   // Distance from point (x0, y0) to the line is sqrt((c − a·x0 − b·y0)² / (a² + b²))
 | ||
|   while ((i -= 2) >= 0) {
 | ||
|     if (Math.sqrt(Math.pow(a * data[i] + b * data[i + 1], 2) * d) > error)
 | ||
|       return false;
 | ||
|   }
 | ||
| 
 | ||
|   return true;
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Converts next curve from shorthand to full form using the current curve data.
 | ||
|  *
 | ||
|  * @param {Object} item curve to convert
 | ||
|  * @param {Array} data current curve data
 | ||
|  */
 | ||
| 
 | ||
| function makeLonghand(item, data) {
 | ||
|   switch (item.command) {
 | ||
|     case 's':
 | ||
|       item.command = 'c';
 | ||
|       break;
 | ||
|     case 't':
 | ||
|       item.command = 'q';
 | ||
|       break;
 | ||
|   }
 | ||
|   item.args.unshift(
 | ||
|     data[data.length - 2] - data[data.length - 4],
 | ||
|     data[data.length - 1] - data[data.length - 3]
 | ||
|   );
 | ||
|   return item;
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Returns distance between two points
 | ||
|  *
 | ||
|  * @param {Array} point1 first point coordinates
 | ||
|  * @param {Array} point2 second point coordinates
 | ||
|  * @return {Number} distance
 | ||
|  */
 | ||
| 
 | ||
| function getDistance(point1, point2) {
 | ||
|   return Math.hypot(point1[0] - point2[0], point1[1] - point2[1]);
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Returns coordinates of the curve point corresponding to the certain t
 | ||
|  * a·(1 - t)³·p1 + b·(1 - t)²·t·p2 + c·(1 - t)·t²·p3 + d·t³·p4,
 | ||
|  * where pN are control points and p1 is zero due to relative coordinates.
 | ||
|  *
 | ||
|  * @param {Array} curve array of curve points coordinates
 | ||
|  * @param {Number} t parametric position from 0 to 1
 | ||
|  * @return {Array} Point coordinates
 | ||
|  */
 | ||
| 
 | ||
| function getCubicBezierPoint(curve, t) {
 | ||
|   var sqrT = t * t,
 | ||
|     cubT = sqrT * t,
 | ||
|     mt = 1 - t,
 | ||
|     sqrMt = mt * mt;
 | ||
| 
 | ||
|   return [
 | ||
|     3 * sqrMt * t * curve[0] + 3 * mt * sqrT * curve[2] + cubT * curve[4],
 | ||
|     3 * sqrMt * t * curve[1] + 3 * mt * sqrT * curve[3] + cubT * curve[5],
 | ||
|   ];
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Finds circle by 3 points of the curve and checks if the curve fits the found circle.
 | ||
|  *
 | ||
|  * @param {Array} curve
 | ||
|  * @return {Object|undefined} circle
 | ||
|  */
 | ||
| 
 | ||
| function findCircle(curve) {
 | ||
|   var midPoint = getCubicBezierPoint(curve, 1 / 2),
 | ||
|     m1 = [midPoint[0] / 2, midPoint[1] / 2],
 | ||
|     m2 = [(midPoint[0] + curve[4]) / 2, (midPoint[1] + curve[5]) / 2],
 | ||
|     center = getIntersection([
 | ||
|       m1[0],
 | ||
|       m1[1],
 | ||
|       m1[0] + m1[1],
 | ||
|       m1[1] - m1[0],
 | ||
|       m2[0],
 | ||
|       m2[1],
 | ||
|       m2[0] + (m2[1] - midPoint[1]),
 | ||
|       m2[1] - (m2[0] - midPoint[0]),
 | ||
|     ]),
 | ||
|     radius = center && getDistance([0, 0], center),
 | ||
|     tolerance = Math.min(arcThreshold * error, (arcTolerance * radius) / 100);
 | ||
| 
 | ||
|   if (
 | ||
|     center &&
 | ||
|     radius < 1e15 &&
 | ||
|     [1 / 4, 3 / 4].every(function (point) {
 | ||
|       return (
 | ||
|         Math.abs(
 | ||
|           getDistance(getCubicBezierPoint(curve, point), center) - radius
 | ||
|         ) <= tolerance
 | ||
|       );
 | ||
|     })
 | ||
|   )
 | ||
|     return { center: center, radius: radius };
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Checks if a curve fits the given circle.
 | ||
|  *
 | ||
|  * @param {Object} circle
 | ||
|  * @param {Array} curve
 | ||
|  * @return {Boolean}
 | ||
|  */
 | ||
| 
 | ||
| function isArc(curve, circle) {
 | ||
|   var tolerance = Math.min(
 | ||
|     arcThreshold * error,
 | ||
|     (arcTolerance * circle.radius) / 100
 | ||
|   );
 | ||
| 
 | ||
|   return [0, 1 / 4, 1 / 2, 3 / 4, 1].every(function (point) {
 | ||
|     return (
 | ||
|       Math.abs(
 | ||
|         getDistance(getCubicBezierPoint(curve, point), circle.center) -
 | ||
|           circle.radius
 | ||
|       ) <= tolerance
 | ||
|     );
 | ||
|   });
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Checks if a previous curve fits the given circle.
 | ||
|  *
 | ||
|  * @param {Object} circle
 | ||
|  * @param {Array} curve
 | ||
|  * @return {Boolean}
 | ||
|  */
 | ||
| 
 | ||
| function isArcPrev(curve, circle) {
 | ||
|   return isArc(curve, {
 | ||
|     center: [circle.center[0] + curve[4], circle.center[1] + curve[5]],
 | ||
|     radius: circle.radius,
 | ||
|   });
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Finds angle of a curve fitting the given arc.
 | ||
| 
 | ||
|  * @param {Array} curve
 | ||
|  * @param {Object} relCircle
 | ||
|  * @return {Number} angle
 | ||
|  */
 | ||
| 
 | ||
| function findArcAngle(curve, relCircle) {
 | ||
|   var x1 = -relCircle.center[0],
 | ||
|     y1 = -relCircle.center[1],
 | ||
|     x2 = curve[4] - relCircle.center[0],
 | ||
|     y2 = curve[5] - relCircle.center[1];
 | ||
| 
 | ||
|   return Math.acos(
 | ||
|     (x1 * x2 + y1 * y2) / Math.sqrt((x1 * x1 + y1 * y1) * (x2 * x2 + y2 * y2))
 | ||
|   );
 | ||
| }
 | ||
| 
 | ||
| /**
 | ||
|  * Converts given path data to string.
 | ||
|  *
 | ||
|  * @param {Object} params
 | ||
|  * @param {Array} pathData
 | ||
|  * @return {String}
 | ||
|  */
 | ||
| 
 | ||
| function data2Path(params, pathData) {
 | ||
|   return pathData.reduce(function (pathString, item) {
 | ||
|     var strData = '';
 | ||
|     if (item.args) {
 | ||
|       strData = cleanupOutData(roundData(item.args.slice()), params);
 | ||
|     }
 | ||
|     return pathString + item.command + strData;
 | ||
|   }, '');
 | ||
| }
 |