( function () {
const _start = new THREE.Vector3();
const _end = new THREE.Vector3();
const _start4 = new THREE.Vector4();
const _end4 = new THREE.Vector4();
const _ssOrigin = new THREE.Vector4();
const _ssOrigin3 = new THREE.Vector3();
const _mvMatrix = new THREE.Matrix4();
const _line = new THREE.Line3();
const _closestPoint = new THREE.Vector3();
const _box = new THREE.Box3();
const _sphere = new THREE.Sphere();
const _clipToWorldVector = new THREE.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 ) {
for ( let i = 0, l = _instanceStart.count; i < l; i ++ ) {
_line.start.fromBufferAttribute( _instanceStart, i );
_line.end.fromBufferAttribute( _instanceEnd, i );
const pointOnLine = new THREE.Vector3();
const point = new THREE.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 = THREE.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 THREE.Vector3();
const point = new THREE.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 THREE.Mesh {
constructor( geometry = new THREE.LineSegmentsGeometry(), material = new THREE.LineMaterial( {
color: Math.random() * 0xffffff
} ) ) {
super( geometry, material );
this.isLineSegments2 = true;
this.type = 'LineSegments2';
} // for backwards-compatibility, but could be a method of THREE.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 THREE.InstancedInterleavedBuffer( lineDistances, 2, 1 ); // d0, d1
geometry.setAttribute( 'instanceDistanceStart', new THREE.InterleavedBufferAttribute( instanceDistanceBuffer, 1, 0 ) ); // d0
geometry.setAttribute( 'instanceDistanceEnd', new THREE.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 );
}
}
}
THREE.LineSegments2 = LineSegments2;
} )();
