three.js/examples/jsm/lines/LineSegments2.js

import {
	Box3,
	InstancedInterleavedBuffer,
	InterleavedBufferAttribute,
	Line3,
	MathUtils,
	Matrix4,
	Mesh,
	Sphere,
	Vector3,
	Vector4
} from 'three';
import { LineSegmentsGeometry } from '../lines/LineSegmentsGeometry.js';
import { LineMaterial } from '../lines/LineMaterial.js';

const _start = new Vector3();
const _end = new Vector3();

const _start4 = new Vector4();
const _end4 = new Vector4();

const _ssOrigin = new Vector4();
const _ssOrigin3 = new Vector3();
const _mvMatrix = new Matrix4();
const _line = new Line3();
const _closestPoint = new Vector3();

const _box = new Box3();
const _sphere = new Sphere();
const _clipToWorldVector = new Vector4();

let _ray, _instanceStart, _instanceEnd, _lineWidth;

// Returns the margin required to expand by in world space given the distance from the camera,
// line width, resolution, and camera projection
function getWorldSpaceHalfWidth( camera, distance, resolution ) {

	// transform into clip space, adjust the x and y values by the pixel width offset, then
	// transform back into world space to get world offset. Note clip space is [-1, 1] so full
	// width does not need to be halved.
	_clipToWorldVector.set( 0, 0, - distance, 1.0 ).applyMatrix4( camera.projectionMatrix );
	_clipToWorldVector.multiplyScalar( 1.0 / _clipToWorldVector.w );
	_clipToWorldVector.x = _lineWidth / resolution.width;
	_clipToWorldVector.y = _lineWidth / resolution.height;
	_clipToWorldVector.applyMatrix4( camera.projectionMatrixInverse );
	_clipToWorldVector.multiplyScalar( 1.0 / _clipToWorldVector.w );

	return Math.abs( Math.max( _clipToWorldVector.x, _clipToWorldVector.y ) );

}

function raycastWorldUnits( lineSegments, intersects ) {

	const matrixWorld = lineSegments.matrixWorld;

	for ( let i = 0, l = _instanceStart.count; i < l; i ++ ) {

		_line.start.fromBufferAttribute( _instanceStart, i );
		_line.end.fromBufferAttribute( _instanceEnd, i );

		_line.applyMatrix4( matrixWorld );

		const pointOnLine = new Vector3();
		const point = new Vector3();

		_ray.distanceSqToSegment( _line.start, _line.end, point, pointOnLine );
		const isInside = point.distanceTo( pointOnLine ) < _lineWidth * 0.5;

		if ( isInside ) {

			intersects.push( {
				point,
				pointOnLine,
				distance: _ray.origin.distanceTo( point ),
				object: lineSegments,
				face: null,
				faceIndex: i,
				uv: null,
				uv2: null,
			} );

		}

	}

}

function raycastScreenSpace( lineSegments, camera, intersects ) {

	const projectionMatrix = camera.projectionMatrix;
	const material = lineSegments.material;
	const resolution = material.resolution;
	const matrixWorld = lineSegments.matrixWorld;

	const geometry = lineSegments.geometry;
	const instanceStart = geometry.attributes.instanceStart;
	const instanceEnd = geometry.attributes.instanceEnd;

	const near = - camera.near;

	//

	// pick a point 1 unit out along the ray to avoid the ray origin
	// sitting at the camera origin which will cause "w" to be 0 when
	// applying the projection matrix.
	_ray.at( 1, _ssOrigin );

	// ndc space [ - 1.0, 1.0 ]
	_ssOrigin.w = 1;
	_ssOrigin.applyMatrix4( camera.matrixWorldInverse );
	_ssOrigin.applyMatrix4( projectionMatrix );
	_ssOrigin.multiplyScalar( 1 / _ssOrigin.w );

	// screen space
	_ssOrigin.x *= resolution.x / 2;
	_ssOrigin.y *= resolution.y / 2;
	_ssOrigin.z = 0;

	_ssOrigin3.copy( _ssOrigin );

	_mvMatrix.multiplyMatrices( camera.matrixWorldInverse, matrixWorld );

	for ( let i = 0, l = instanceStart.count; i < l; i ++ ) {

		_start4.fromBufferAttribute( instanceStart, i );
		_end4.fromBufferAttribute( instanceEnd, i );

		_start4.w = 1;
		_end4.w = 1;

		// camera space
		_start4.applyMatrix4( _mvMatrix );
		_end4.applyMatrix4( _mvMatrix );

		// skip the segment if it's entirely behind the camera
		const isBehindCameraNear = _start4.z > near && _end4.z > near;
		if ( isBehindCameraNear ) {

			continue;

		}

		// trim the segment if it extends behind camera near
		if ( _start4.z > near ) {

			const deltaDist = _start4.z - _end4.z;
			const t = ( _start4.z - near ) / deltaDist;
			_start4.lerp( _end4, t );

		} else if ( _end4.z > near ) {

			const deltaDist = _end4.z - _start4.z;
			const t = ( _end4.z - near ) / deltaDist;
			_end4.lerp( _start4, t );

		}

		// clip space
		_start4.applyMatrix4( projectionMatrix );
		_end4.applyMatrix4( projectionMatrix );

		// ndc space [ - 1.0, 1.0 ]
		_start4.multiplyScalar( 1 / _start4.w );
		_end4.multiplyScalar( 1 / _end4.w );

		// screen space
		_start4.x *= resolution.x / 2;
		_start4.y *= resolution.y / 2;

		_end4.x *= resolution.x / 2;
		_end4.y *= resolution.y / 2;

		// create 2d segment
		_line.start.copy( _start4 );
		_line.start.z = 0;

		_line.end.copy( _end4 );
		_line.end.z = 0;

		// get closest point on ray to segment
		const param = _line.closestPointToPointParameter( _ssOrigin3, true );
		_line.at( param, _closestPoint );

		// check if the intersection point is within clip space
		const zPos = MathUtils.lerp( _start4.z, _end4.z, param );
		const isInClipSpace = zPos >= - 1 && zPos <= 1;

		const isInside = _ssOrigin3.distanceTo( _closestPoint ) < _lineWidth * 0.5;

		if ( isInClipSpace && isInside ) {

			_line.start.fromBufferAttribute( instanceStart, i );
			_line.end.fromBufferAttribute( instanceEnd, i );

			_line.start.applyMatrix4( matrixWorld );
			_line.end.applyMatrix4( matrixWorld );

			const pointOnLine = new Vector3();
			const point = new Vector3();

			_ray.distanceSqToSegment( _line.start, _line.end, point, pointOnLine );

			intersects.push( {
				point: point,
				pointOnLine: pointOnLine,
				distance: _ray.origin.distanceTo( point ),
				object: lineSegments,
				face: null,
				faceIndex: i,
				uv: null,
				uv2: null,
			} );

		}

	}

}

class LineSegments2 extends Mesh {

	constructor( geometry = new LineSegmentsGeometry(), material = new LineMaterial( { color: Math.random() * 0xffffff } ) ) {

		super( geometry, material );

		this.isLineSegments2 = true;

		this.type = 'LineSegments2';

	}

	// for backwards-compatibility, but could be a method of LineSegmentsGeometry...

	computeLineDistances() {

		const geometry = this.geometry;

		const instanceStart = geometry.attributes.instanceStart;
		const instanceEnd = geometry.attributes.instanceEnd;
		const lineDistances = new Float32Array( 2 * instanceStart.count );

		for ( let i = 0, j = 0, l = instanceStart.count; i < l; i ++, j += 2 ) {

			_start.fromBufferAttribute( instanceStart, i );
			_end.fromBufferAttribute( instanceEnd, i );

			lineDistances[ j ] = ( j === 0 ) ? 0 : lineDistances[ j - 1 ];
			lineDistances[ j + 1 ] = lineDistances[ j ] + _start.distanceTo( _end );

		}

		const instanceDistanceBuffer = new InstancedInterleavedBuffer( lineDistances, 2, 1 ); // d0, d1

		geometry.setAttribute( 'instanceDistanceStart', new InterleavedBufferAttribute( instanceDistanceBuffer, 1, 0 ) ); // d0
		geometry.setAttribute( 'instanceDistanceEnd', new InterleavedBufferAttribute( instanceDistanceBuffer, 1, 1 ) ); // d1

		return this;

	}

	raycast( raycaster, intersects ) {

		const worldUnits = this.material.worldUnits;
		const camera = raycaster.camera;

		if ( camera === null && ! worldUnits ) {

			console.error( 'LineSegments2: "Raycaster.camera" needs to be set in order to raycast against LineSegments2 while worldUnits is set to false.' );

		}

		const threshold = ( raycaster.params.Line2 !== undefined ) ? raycaster.params.Line2.threshold || 0 : 0;

		_ray = raycaster.ray;

		const matrixWorld = this.matrixWorld;
		const geometry = this.geometry;
		const material = this.material;

		_lineWidth = material.linewidth + threshold;

		_instanceStart = geometry.attributes.instanceStart;
		_instanceEnd = geometry.attributes.instanceEnd;

		// check if we intersect the sphere bounds
		if ( geometry.boundingSphere === null ) {

			geometry.computeBoundingSphere();

		}

		_sphere.copy( geometry.boundingSphere ).applyMatrix4( matrixWorld );

		// increase the sphere bounds by the worst case line screen space width
		let sphereMargin;
		if ( worldUnits ) {

			sphereMargin = _lineWidth * 0.5;

		} else {

			const distanceToSphere = Math.max( camera.near, _sphere.distanceToPoint( _ray.origin ) );
			sphereMargin = getWorldSpaceHalfWidth( camera, distanceToSphere, material.resolution );

		}

		_sphere.radius += sphereMargin;

		if ( _ray.intersectsSphere( _sphere ) === false ) {

			return;

		}

		// check if we intersect the box bounds
		if ( geometry.boundingBox === null ) {

			geometry.computeBoundingBox();

		}

		_box.copy( geometry.boundingBox ).applyMatrix4( matrixWorld );

		// increase the box bounds by the worst case line width
		let boxMargin;
		if ( worldUnits ) {

			boxMargin = _lineWidth * 0.5;

		} else {

			const distanceToBox = Math.max( camera.near, _box.distanceToPoint( _ray.origin ) );
			boxMargin = getWorldSpaceHalfWidth( camera, distanceToBox, material.resolution );

		}

		_box.expandByScalar( boxMargin );

		if ( _ray.intersectsBox( _box ) === false ) {

			return;

		}

		if ( worldUnits ) {

			raycastWorldUnits( this, intersects );

		} else {

			raycastScreenSpace( this, camera, intersects );

		}

	}

}

export { LineSegments2 };