<!-- AVATAR-FORGE · part 207 -->
us and next vertex nodes in a polygon ring
	this.prev = null;
	this.next = null;

	// z-order curve value
	this.z = 0;

	// previous and next nodes in z-order
	this.prevZ = null;
	this.nextZ = null;

	// indicates whether this is a steiner point
	this.steiner = false;

}

function signedArea( data, start, end, dim ) {

	let sum = 0;
	for ( let i = start, j = end - dim; i < end; i += dim ) {

		sum += ( data[ j ] - data[ i ] ) * ( data[ i + 1 ] + data[ j + 1 ] );
		j = i;

	}

	return sum;

}

class ShapeUtils {

	// calculate area of the contour polygon

	static area( contour ) {

		const n = contour.length;
		let a = 0.0;

		for ( let p = n - 1, q = 0; q < n; p = q ++ ) {

			a += contour[ p ].x * contour[ q ].y - contour[ q ].x * contour[ p ].y;

		}

		return a * 0.5;

	}

	static isClockWise( pts ) {

		return ShapeUtils.area( pts ) < 0;

	}

	static triangulateShape( contour, holes ) {

		const vertices = []; // flat array of vertices like [ x0,y0, x1,y1, x2,y2, ... ]
		const holeIndices = []; // array of hole indices
		const faces = []; // final array of vertex indices like [ [ a,b,d ], [ b,c,d ] ]

		removeDupEndPts( contour );
		addContour( vertices, contour );

		//

		let holeIndex = contour.length;

		holes.forEach( removeDupEndPts );

		for ( let i = 0; i < holes.length; i ++ ) {

			holeIndices.push( holeIndex );
			holeIndex += holes[ i ].length;
			addContour( vertices, holes[ i ] );

		}

		//

		const triangles = Earcut.triangulate( vertices, holeIndices );

		//

		for ( let i = 0; i < triangles.length; i += 3 ) {

			faces.push( triangles.slice( i, i + 3 ) );

		}

		return faces;

	}

}

function removeDupEndPts( points ) {

	const l = points.length;

	if ( l > 2 && points[ l - 1 ].equals( points[ 0 ] ) ) {

		points.pop();

	}

}

function addContour( vertices, contour ) {

	for ( let i = 0; i < contour.length; i ++ ) {

		vertices.push( contour[ i ].x );
		vertices.push( contour[ i ].y );

	}

}

/**
 * Creates extruded geometry from a path shape.
 *
 * parameters = {
 *
 *  curveSegments: <int>, // number of points on the curves
 *  steps: <int>, // number of points for z-side extrusions / used for subdividing segments of extrude spline too
 *  depth: <float>, // Depth to extrude the shape
 *
 *  bevelEnabled: <bool>, // turn on bevel
 *  bevelThickness: <float>, // how deep into the original shape bevel goes
 *  bevelSize: <float>, // how far from shape outline (including bevelOffset) is bevel
 *  bevelOffset: <float>, // how far from shape outline does bevel start
 *  bevelSegments: <int>, // number of bevel layers
 *
 *  extrudePath: <THREE.Curve> // curve to extrude shape along
 *
 *  UVGenerator: <Object> // object that provides UV generator functions
 *
 * }
 */


class ExtrudeGeometry extends BufferGeometry {

	constructor( shapes = new Shape( [ new Vector2( 0.5, 0.5 ), new Vector2( - 0.5, 0.5 ), new Vector2( - 0.5, - 0.5 ), new Vector2( 0.5, - 0.5 ) ] ), options = {} ) {

		super();

		this.type = 'ExtrudeGeometry';

		this.parameters = {
			shapes: shapes,
			options: options
		};

		shapes = Array.isArray( shapes ) ? shapes : [ shapes ];

		const scope = this;

		const verticesArray = [];
		const uvArray = [];

		for ( let i = 0, l = shapes.length; i < l; i ++ ) {

			const shape = shapes[ i ];
			addShape( shape );

		}

		// build geometry

		this.setAttribute( 'position', new Float32BufferAttribute( verticesArray, 3 ) );
		this.setAttribute( 'uv', new Float32BufferAttribute( uvArray, 2 ) );

		this.computeVertexNormals();

		// functions

		function addShape( shape ) {

			const placeholder = [];

			// options

			const curveSegments = options.curveSegments !== undefined ? options.curveSegments : 12;
			const steps = options.steps !== undefined ? options.steps : 1;
			const depth = options.depth !== undefined ? options.depth : 1;

			let bevelEnabled = options.bevelEnabled !== undefined ? options.bevelEnabled : true;
			let bevelThickness = options.bevelThickness !== undefined ? options.bevelThickness : 0.2;
			let bevelSize = options.bevelSize !== undefined ? options.bevelSize : bevelThickness - 0.1;
			let bevelOffset = options.bevelOffset !== undefined ? options.bevelOffset : 0;
			let bevelSegments = options.bevelSegments !== undefined ? options.bevelSegments : 3;

			const extrudePath = options.extrudePath;

			const uvgen = options.UVGenerator !== undefined ? options.UVGenerator : WorldUVGenerator;

			//

			let extrudePts, extrudeByPath = false;
			let splineTube, binormal, normal, position2;

			if ( extrudePath ) {

				extrudePts = extrudePath.getSpacedPoints( steps );

				extrudeByPath = true;
				bevelEnabled = false; // bevels not supported for path extrusion

				// SETUP TNB variables

				// TODO1 - have a .isClosed in spline?

				splineTube = extrudePath.computeFrenetFrames( steps, false );

				// console.log(splineTube, 'splineTube', splineTube.normals.length, 'steps', steps, 'extrudePts', extrudePts.length);

				