Buckets:
| import { Vector3 } from './Vector3.js'; | |
| const _vector = /*@__PURE__*/ new Vector3(); | |
| const _segCenter = /*@__PURE__*/ new Vector3(); | |
| const _segDir = /*@__PURE__*/ new Vector3(); | |
| const _diff = /*@__PURE__*/ new Vector3(); | |
| const _edge1 = /*@__PURE__*/ new Vector3(); | |
| const _edge2 = /*@__PURE__*/ new Vector3(); | |
| const _normal = /*@__PURE__*/ new Vector3(); | |
| class Ray { | |
| constructor( origin = new Vector3(), direction = new Vector3( 0, 0, - 1 ) ) { | |
| this.origin = origin; | |
| this.direction = direction; | |
| } | |
| set( origin, direction ) { | |
| this.origin.copy( origin ); | |
| this.direction.copy( direction ); | |
| return this; | |
| } | |
| copy( ray ) { | |
| this.origin.copy( ray.origin ); | |
| this.direction.copy( ray.direction ); | |
| return this; | |
| } | |
| at( t, target ) { | |
| return target.copy( this.origin ).addScaledVector( this.direction, t ); | |
| } | |
| lookAt( v ) { | |
| this.direction.copy( v ).sub( this.origin ).normalize(); | |
| return this; | |
| } | |
| recast( t ) { | |
| this.origin.copy( this.at( t, _vector ) ); | |
| return this; | |
| } | |
| closestPointToPoint( point, target ) { | |
| target.subVectors( point, this.origin ); | |
| const directionDistance = target.dot( this.direction ); | |
| if ( directionDistance < 0 ) { | |
| return target.copy( this.origin ); | |
| } | |
| return target.copy( this.origin ).addScaledVector( this.direction, directionDistance ); | |
| } | |
| distanceToPoint( point ) { | |
| return Math.sqrt( this.distanceSqToPoint( point ) ); | |
| } | |
| distanceSqToPoint( point ) { | |
| const directionDistance = _vector.subVectors( point, this.origin ).dot( this.direction ); | |
| // point behind the ray | |
| if ( directionDistance < 0 ) { | |
| return this.origin.distanceToSquared( point ); | |
| } | |
| _vector.copy( this.origin ).addScaledVector( this.direction, directionDistance ); | |
| return _vector.distanceToSquared( point ); | |
| } | |
| distanceSqToSegment( v0, v1, optionalPointOnRay, optionalPointOnSegment ) { | |
| // from https://github.com/pmjoniak/GeometricTools/blob/master/GTEngine/Include/Mathematics/GteDistRaySegment.h | |
| // It returns the min distance between the ray and the segment | |
| // defined by v0 and v1 | |
| // It can also set two optional targets : | |
| // - The closest point on the ray | |
| // - The closest point on the segment | |
| _segCenter.copy( v0 ).add( v1 ).multiplyScalar( 0.5 ); | |
| _segDir.copy( v1 ).sub( v0 ).normalize(); | |
| _diff.copy( this.origin ).sub( _segCenter ); | |
| const segExtent = v0.distanceTo( v1 ) * 0.5; | |
| const a01 = - this.direction.dot( _segDir ); | |
| const b0 = _diff.dot( this.direction ); | |
| const b1 = - _diff.dot( _segDir ); | |
| const c = _diff.lengthSq(); | |
| const det = Math.abs( 1 - a01 * a01 ); | |
| let s0, s1, sqrDist, extDet; | |
| if ( det > 0 ) { | |
| // The ray and segment are not parallel. | |
| s0 = a01 * b1 - b0; | |
| s1 = a01 * b0 - b1; | |
| extDet = segExtent * det; | |
| if ( s0 >= 0 ) { | |
| if ( s1 >= - extDet ) { | |
| if ( s1 <= extDet ) { | |
| // region 0 | |
| // Minimum at interior points of ray and segment. | |
| const invDet = 1 / det; | |
| s0 *= invDet; | |
| s1 *= invDet; | |
| sqrDist = s0 * ( s0 + a01 * s1 + 2 * b0 ) + s1 * ( a01 * s0 + s1 + 2 * b1 ) + c; | |
| } else { | |
| // region 1 | |
| s1 = segExtent; | |
| s0 = Math.max( 0, - ( a01 * s1 + b0 ) ); | |
| sqrDist = - s0 * s0 + s1 * ( s1 + 2 * b1 ) + c; | |
| } | |
| } else { | |
| // region 5 | |
| s1 = - segExtent; | |
| s0 = Math.max( 0, - ( a01 * s1 + b0 ) ); | |
| sqrDist = - s0 * s0 + s1 * ( s1 + 2 * b1 ) + c; | |
| } | |
| } else { | |
| if ( s1 <= - extDet ) { | |
| // region 4 | |
| s0 = Math.max( 0, - ( - a01 * segExtent + b0 ) ); | |
| s1 = ( s0 > 0 ) ? - segExtent : Math.min( Math.max( - segExtent, - b1 ), segExtent ); | |
| sqrDist = - s0 * s0 + s1 * ( s1 + 2 * b1 ) + c; | |
| } else if ( s1 <= extDet ) { | |
| // region 3 | |
| s0 = 0; | |
| s1 = Math.min( Math.max( - segExtent, - b1 ), segExtent ); | |
| sqrDist = s1 * ( s1 + 2 * b1 ) + c; | |
| } else { | |
| // region 2 | |
| s0 = Math.max( 0, - ( a01 * segExtent + b0 ) ); | |
| s1 = ( s0 > 0 ) ? segExtent : Math.min( Math.max( - segExtent, - b1 ), segExtent ); | |
| sqrDist = - s0 * s0 + s1 * ( s1 + 2 * b1 ) + c; | |
| } | |
| } | |
| } else { | |
| // Ray and segment are parallel. | |
| s1 = ( a01 > 0 ) ? - segExtent : segExtent; | |
| s0 = Math.max( 0, - ( a01 * s1 + b0 ) ); | |
| sqrDist = - s0 * s0 + s1 * ( s1 + 2 * b1 ) + c; | |
| } | |
| if ( optionalPointOnRay ) { | |
| optionalPointOnRay.copy( this.origin ).addScaledVector( this.direction, s0 ); | |
| } | |
| if ( optionalPointOnSegment ) { | |
| optionalPointOnSegment.copy( _segCenter ).addScaledVector( _segDir, s1 ); | |
| } | |
| return sqrDist; | |
| } | |
| intersectSphere( sphere, target ) { | |
| _vector.subVectors( sphere.center, this.origin ); | |
| const tca = _vector.dot( this.direction ); | |
| const d2 = _vector.dot( _vector ) - tca * tca; | |
| const radius2 = sphere.radius * sphere.radius; | |
| if ( d2 > radius2 ) return null; | |
| const thc = Math.sqrt( radius2 - d2 ); | |
| // t0 = first intersect point - entrance on front of sphere | |
| const t0 = tca - thc; | |
| // t1 = second intersect point - exit point on back of sphere | |
| const t1 = tca + thc; | |
| // test to see if t1 is behind the ray - if so, return null | |
| if ( t1 < 0 ) return null; | |
| // test to see if t0 is behind the ray: | |
| // if it is, the ray is inside the sphere, so return the second exit point scaled by t1, | |
| // in order to always return an intersect point that is in front of the ray. | |
| if ( t0 < 0 ) return this.at( t1, target ); | |
| // else t0 is in front of the ray, so return the first collision point scaled by t0 | |
| return this.at( t0, target ); | |
| } | |
| intersectsSphere( sphere ) { | |
| return this.distanceSqToPoint( sphere.center ) <= ( sphere.radius * sphere.radius ); | |
| } | |
| distanceToPlane( plane ) { | |
| const denominator = plane.normal.dot( this.direction ); | |
| if ( denominator === 0 ) { | |
| // line is coplanar, return origin | |
| if ( plane.distanceToPoint( this.origin ) === 0 ) { | |
| return 0; | |
| } | |
| // Null is preferable to undefined since undefined means.... it is undefined | |
| return null; | |
| } | |
| const t = - ( this.origin.dot( plane.normal ) + plane.constant ) / denominator; | |
| // Return if the ray never intersects the plane | |
| return t >= 0 ? t : null; | |
| } | |
| intersectPlane( plane, target ) { | |
| const t = this.distanceToPlane( plane ); | |
| if ( t === null ) { | |
| return null; | |
| } | |
| return this.at( t, target ); | |
| } | |
| intersectsPlane( plane ) { | |
| // check if the ray lies on the plane first | |
| const distToPoint = plane.distanceToPoint( this.origin ); | |
| if ( distToPoint === 0 ) { | |
| return true; | |
| } | |
| const denominator = plane.normal.dot( this.direction ); | |
| if ( denominator * distToPoint < 0 ) { | |
| return true; | |
| } | |
| // ray origin is behind the plane (and is pointing behind it) | |
| return false; | |
| } | |
| intersectBox( box, target ) { | |
| let tmin, tmax, tymin, tymax, tzmin, tzmax; | |
| const invdirx = 1 / this.direction.x, | |
| invdiry = 1 / this.direction.y, | |
| invdirz = 1 / this.direction.z; | |
| const origin = this.origin; | |
| if ( invdirx >= 0 ) { | |
| tmin = ( box.min.x - origin.x ) * invdirx; | |
| tmax = ( box.max.x - origin.x ) * invdirx; | |
| } else { | |
| tmin = ( box.max.x - origin.x ) * invdirx; | |
| tmax = ( box.min.x - origin.x ) * invdirx; | |
| } | |
| if ( invdiry >= 0 ) { | |
| tymin = ( box.min.y - origin.y ) * invdiry; | |
| tymax = ( box.max.y - origin.y ) * invdiry; | |
| } else { | |
| tymin = ( box.max.y - origin.y ) * invdiry; | |
| tymax = ( box.min.y - origin.y ) * invdiry; | |
| } | |
| if ( ( tmin > tymax ) || ( tymin > tmax ) ) return null; | |
| if ( tymin > tmin || isNaN( tmin ) ) tmin = tymin; | |
| if ( tymax < tmax || isNaN( tmax ) ) tmax = tymax; | |
| if ( invdirz >= 0 ) { | |
| tzmin = ( box.min.z - origin.z ) * invdirz; | |
| tzmax = ( box.max.z - origin.z ) * invdirz; | |
| } else { | |
| tzmin = ( box.max.z - origin.z ) * invdirz; | |
| tzmax = ( box.min.z - origin.z ) * invdirz; | |
| } | |
| if ( ( tmin > tzmax ) || ( tzmin > tmax ) ) return null; | |
| if ( tzmin > tmin || tmin !== tmin ) tmin = tzmin; | |
| if ( tzmax < tmax || tmax !== tmax ) tmax = tzmax; | |
| //return point closest to the ray (positive side) | |
| if ( tmax < 0 ) return null; | |
| return this.at( tmin >= 0 ? tmin : tmax, target ); | |
| } | |
| intersectsBox( box ) { | |
| return this.intersectBox( box, _vector ) !== null; | |
| } | |
| intersectTriangle( a, b, c, backfaceCulling, target ) { | |
| // Compute the offset origin, edges, and normal. | |
| // from https://github.com/pmjoniak/GeometricTools/blob/master/GTEngine/Include/Mathematics/GteIntrRay3Triangle3.h | |
| _edge1.subVectors( b, a ); | |
| _edge2.subVectors( c, a ); | |
| _normal.crossVectors( _edge1, _edge2 ); | |
| // Solve Q + t*D = b1*E1 + b2*E2 (Q = kDiff, D = ray direction, | |
| // E1 = kEdge1, E2 = kEdge2, N = Cross(E1,E2)) by | |
| // |Dot(D,N)|*b1 = sign(Dot(D,N))*Dot(D,Cross(Q,E2)) | |
| // |Dot(D,N)|*b2 = sign(Dot(D,N))*Dot(D,Cross(E1,Q)) | |
| // |Dot(D,N)|*t = -sign(Dot(D,N))*Dot(Q,N) | |
| let DdN = this.direction.dot( _normal ); | |
| let sign; | |
| if ( DdN > 0 ) { | |
| if ( backfaceCulling ) return null; | |
| sign = 1; | |
| } else if ( DdN < 0 ) { | |
| sign = - 1; | |
| DdN = - DdN; | |
| } else { | |
| return null; | |
| } | |
| _diff.subVectors( this.origin, a ); | |
| const DdQxE2 = sign * this.direction.dot( _edge2.crossVectors( _diff, _edge2 ) ); | |
| // b1 < 0, no intersection | |
| if ( DdQxE2 < 0 ) { | |
| return null; | |
| } | |
| const DdE1xQ = sign * this.direction.dot( _edge1.cross( _diff ) ); | |
| // b2 < 0, no intersection | |
| if ( DdE1xQ < 0 ) { | |
| return null; | |
| } | |
| // b1+b2 > 1, no intersection | |
| if ( DdQxE2 + DdE1xQ > DdN ) { | |
| return null; | |
| } | |
| // Line intersects triangle, check if ray does. | |
| const QdN = - sign * _diff.dot( _normal ); | |
| // t < 0, no intersection | |
| if ( QdN < 0 ) { | |
| return null; | |
| } | |
| // Ray intersects triangle. | |
| return this.at( QdN / DdN, target ); | |
| } | |
| applyMatrix4( matrix4 ) { | |
| this.origin.applyMatrix4( matrix4 ); | |
| this.direction.transformDirection( matrix4 ); | |
| return this; | |
| } | |
| equals( ray ) { | |
| return ray.origin.equals( this.origin ) && ray.direction.equals( this.direction ); | |
| } | |
| clone() { | |
| return new this.constructor().copy( this ); | |
| } | |
| } | |
| export { Ray }; | |
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