created site just for chat

This commit is contained in:
edbernar
2024-07-30 20:19:29 +02:00
parent 57c261c689
commit 54fb27fe16
1288 changed files with 421 additions and 4240 deletions

204
site/game/node_modules/three/src/math/Box2.js generated vendored Normal file
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import { Vector2 } from './Vector2.js';
const _vector = /*@__PURE__*/ new Vector2();
class Box2 {
constructor( min = new Vector2( + Infinity, + Infinity ), max = new Vector2( - Infinity, - Infinity ) ) {
this.isBox2 = true;
this.min = min;
this.max = max;
}
set( min, max ) {
this.min.copy( min );
this.max.copy( max );
return this;
}
setFromPoints( points ) {
this.makeEmpty();
for ( let i = 0, il = points.length; i < il; i ++ ) {
this.expandByPoint( points[ i ] );
}
return this;
}
setFromCenterAndSize( center, size ) {
const halfSize = _vector.copy( size ).multiplyScalar( 0.5 );
this.min.copy( center ).sub( halfSize );
this.max.copy( center ).add( halfSize );
return this;
}
clone() {
return new this.constructor().copy( this );
}
copy( box ) {
this.min.copy( box.min );
this.max.copy( box.max );
return this;
}
makeEmpty() {
this.min.x = this.min.y = + Infinity;
this.max.x = this.max.y = - Infinity;
return this;
}
isEmpty() {
// this is a more robust check for empty than ( volume <= 0 ) because volume can get positive with two negative axes
return ( this.max.x < this.min.x ) || ( this.max.y < this.min.y );
}
getCenter( target ) {
return this.isEmpty() ? target.set( 0, 0 ) : target.addVectors( this.min, this.max ).multiplyScalar( 0.5 );
}
getSize( target ) {
return this.isEmpty() ? target.set( 0, 0 ) : target.subVectors( this.max, this.min );
}
expandByPoint( point ) {
this.min.min( point );
this.max.max( point );
return this;
}
expandByVector( vector ) {
this.min.sub( vector );
this.max.add( vector );
return this;
}
expandByScalar( scalar ) {
this.min.addScalar( - scalar );
this.max.addScalar( scalar );
return this;
}
containsPoint( point ) {
return point.x >= this.min.x && point.x <= this.max.x &&
point.y >= this.min.y && point.y <= this.max.y;
}
containsBox( box ) {
return this.min.x <= box.min.x && box.max.x <= this.max.x &&
this.min.y <= box.min.y && box.max.y <= this.max.y;
}
getParameter( point, target ) {
// This can potentially have a divide by zero if the box
// has a size dimension of 0.
return target.set(
( point.x - this.min.x ) / ( this.max.x - this.min.x ),
( point.y - this.min.y ) / ( this.max.y - this.min.y )
);
}
intersectsBox( box ) {
// using 4 splitting planes to rule out intersections
return box.max.x >= this.min.x && box.min.x <= this.max.x &&
box.max.y >= this.min.y && box.min.y <= this.max.y;
}
clampPoint( point, target ) {
return target.copy( point ).clamp( this.min, this.max );
}
distanceToPoint( point ) {
return this.clampPoint( point, _vector ).distanceTo( point );
}
intersect( box ) {
this.min.max( box.min );
this.max.min( box.max );
if ( this.isEmpty() ) this.makeEmpty();
return this;
}
union( box ) {
this.min.min( box.min );
this.max.max( box.max );
return this;
}
translate( offset ) {
this.min.add( offset );
this.max.add( offset );
return this;
}
equals( box ) {
return box.min.equals( this.min ) && box.max.equals( this.max );
}
}
export { Box2 };

534
site/game/node_modules/three/src/math/Box3.js generated vendored Normal file
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import { Vector3 } from './Vector3.js';
class Box3 {
constructor( min = new Vector3( + Infinity, + Infinity, + Infinity ), max = new Vector3( - Infinity, - Infinity, - Infinity ) ) {
this.isBox3 = true;
this.min = min;
this.max = max;
}
set( min, max ) {
this.min.copy( min );
this.max.copy( max );
return this;
}
setFromArray( array ) {
this.makeEmpty();
for ( let i = 0, il = array.length; i < il; i += 3 ) {
this.expandByPoint( _vector.fromArray( array, i ) );
}
return this;
}
setFromBufferAttribute( attribute ) {
this.makeEmpty();
for ( let i = 0, il = attribute.count; i < il; i ++ ) {
this.expandByPoint( _vector.fromBufferAttribute( attribute, i ) );
}
return this;
}
setFromPoints( points ) {
this.makeEmpty();
for ( let i = 0, il = points.length; i < il; i ++ ) {
this.expandByPoint( points[ i ] );
}
return this;
}
setFromCenterAndSize( center, size ) {
const halfSize = _vector.copy( size ).multiplyScalar( 0.5 );
this.min.copy( center ).sub( halfSize );
this.max.copy( center ).add( halfSize );
return this;
}
setFromObject( object, precise = false ) {
this.makeEmpty();
return this.expandByObject( object, precise );
}
clone() {
return new this.constructor().copy( this );
}
copy( box ) {
this.min.copy( box.min );
this.max.copy( box.max );
return this;
}
makeEmpty() {
this.min.x = this.min.y = this.min.z = + Infinity;
this.max.x = this.max.y = this.max.z = - Infinity;
return this;
}
isEmpty() {
// this is a more robust check for empty than ( volume <= 0 ) because volume can get positive with two negative axes
return ( this.max.x < this.min.x ) || ( this.max.y < this.min.y ) || ( this.max.z < this.min.z );
}
getCenter( target ) {
return this.isEmpty() ? target.set( 0, 0, 0 ) : target.addVectors( this.min, this.max ).multiplyScalar( 0.5 );
}
getSize( target ) {
return this.isEmpty() ? target.set( 0, 0, 0 ) : target.subVectors( this.max, this.min );
}
expandByPoint( point ) {
this.min.min( point );
this.max.max( point );
return this;
}
expandByVector( vector ) {
this.min.sub( vector );
this.max.add( vector );
return this;
}
expandByScalar( scalar ) {
this.min.addScalar( - scalar );
this.max.addScalar( scalar );
return this;
}
expandByObject( object, precise = false ) {
// Computes the world-axis-aligned bounding box of an object (including its children),
// accounting for both the object's, and children's, world transforms
object.updateWorldMatrix( false, false );
const geometry = object.geometry;
if ( geometry !== undefined ) {
const positionAttribute = geometry.getAttribute( 'position' );
// precise AABB computation based on vertex data requires at least a position attribute.
// instancing isn't supported so far and uses the normal (conservative) code path.
if ( precise === true && positionAttribute !== undefined && object.isInstancedMesh !== true ) {
for ( let i = 0, l = positionAttribute.count; i < l; i ++ ) {
if ( object.isMesh === true ) {
object.getVertexPosition( i, _vector );
} else {
_vector.fromBufferAttribute( positionAttribute, i );
}
_vector.applyMatrix4( object.matrixWorld );
this.expandByPoint( _vector );
}
} else {
if ( object.boundingBox !== undefined ) {
// object-level bounding box
if ( object.boundingBox === null ) {
object.computeBoundingBox();
}
_box.copy( object.boundingBox );
} else {
// geometry-level bounding box
if ( geometry.boundingBox === null ) {
geometry.computeBoundingBox();
}
_box.copy( geometry.boundingBox );
}
_box.applyMatrix4( object.matrixWorld );
this.union( _box );
}
}
const children = object.children;
for ( let i = 0, l = children.length; i < l; i ++ ) {
this.expandByObject( children[ i ], precise );
}
return this;
}
containsPoint( point ) {
return point.x >= this.min.x && point.x <= this.max.x &&
point.y >= this.min.y && point.y <= this.max.y &&
point.z >= this.min.z && point.z <= this.max.z;
}
containsBox( box ) {
return this.min.x <= box.min.x && box.max.x <= this.max.x &&
this.min.y <= box.min.y && box.max.y <= this.max.y &&
this.min.z <= box.min.z && box.max.z <= this.max.z;
}
getParameter( point, target ) {
// This can potentially have a divide by zero if the box
// has a size dimension of 0.
return target.set(
( point.x - this.min.x ) / ( this.max.x - this.min.x ),
( point.y - this.min.y ) / ( this.max.y - this.min.y ),
( point.z - this.min.z ) / ( this.max.z - this.min.z )
);
}
intersectsBox( box ) {
// using 6 splitting planes to rule out intersections.
return box.max.x >= this.min.x && box.min.x <= this.max.x &&
box.max.y >= this.min.y && box.min.y <= this.max.y &&
box.max.z >= this.min.z && box.min.z <= this.max.z;
}
intersectsSphere( sphere ) {
// Find the point on the AABB closest to the sphere center.
this.clampPoint( sphere.center, _vector );
// If that point is inside the sphere, the AABB and sphere intersect.
return _vector.distanceToSquared( sphere.center ) <= ( sphere.radius * sphere.radius );
}
intersectsPlane( plane ) {
// We compute the minimum and maximum dot product values. If those values
// are on the same side (back or front) of the plane, then there is no intersection.
let min, max;
if ( plane.normal.x > 0 ) {
min = plane.normal.x * this.min.x;
max = plane.normal.x * this.max.x;
} else {
min = plane.normal.x * this.max.x;
max = plane.normal.x * this.min.x;
}
if ( plane.normal.y > 0 ) {
min += plane.normal.y * this.min.y;
max += plane.normal.y * this.max.y;
} else {
min += plane.normal.y * this.max.y;
max += plane.normal.y * this.min.y;
}
if ( plane.normal.z > 0 ) {
min += plane.normal.z * this.min.z;
max += plane.normal.z * this.max.z;
} else {
min += plane.normal.z * this.max.z;
max += plane.normal.z * this.min.z;
}
return ( min <= - plane.constant && max >= - plane.constant );
}
intersectsTriangle( triangle ) {
if ( this.isEmpty() ) {
return false;
}
// compute box center and extents
this.getCenter( _center );
_extents.subVectors( this.max, _center );
// translate triangle to aabb origin
_v0.subVectors( triangle.a, _center );
_v1.subVectors( triangle.b, _center );
_v2.subVectors( triangle.c, _center );
// compute edge vectors for triangle
_f0.subVectors( _v1, _v0 );
_f1.subVectors( _v2, _v1 );
_f2.subVectors( _v0, _v2 );
// test against axes that are given by cross product combinations of the edges of the triangle and the edges of the aabb
// make an axis testing of each of the 3 sides of the aabb against each of the 3 sides of the triangle = 9 axis of separation
// axis_ij = u_i x f_j (u0, u1, u2 = face normals of aabb = x,y,z axes vectors since aabb is axis aligned)
let axes = [
0, - _f0.z, _f0.y, 0, - _f1.z, _f1.y, 0, - _f2.z, _f2.y,
_f0.z, 0, - _f0.x, _f1.z, 0, - _f1.x, _f2.z, 0, - _f2.x,
- _f0.y, _f0.x, 0, - _f1.y, _f1.x, 0, - _f2.y, _f2.x, 0
];
if ( ! satForAxes( axes, _v0, _v1, _v2, _extents ) ) {
return false;
}
// test 3 face normals from the aabb
axes = [ 1, 0, 0, 0, 1, 0, 0, 0, 1 ];
if ( ! satForAxes( axes, _v0, _v1, _v2, _extents ) ) {
return false;
}
// finally testing the face normal of the triangle
// use already existing triangle edge vectors here
_triangleNormal.crossVectors( _f0, _f1 );
axes = [ _triangleNormal.x, _triangleNormal.y, _triangleNormal.z ];
return satForAxes( axes, _v0, _v1, _v2, _extents );
}
clampPoint( point, target ) {
return target.copy( point ).clamp( this.min, this.max );
}
distanceToPoint( point ) {
return this.clampPoint( point, _vector ).distanceTo( point );
}
getBoundingSphere( target ) {
if ( this.isEmpty() ) {
target.makeEmpty();
} else {
this.getCenter( target.center );
target.radius = this.getSize( _vector ).length() * 0.5;
}
return target;
}
intersect( box ) {
this.min.max( box.min );
this.max.min( box.max );
// ensure that if there is no overlap, the result is fully empty, not slightly empty with non-inf/+inf values that will cause subsequence intersects to erroneously return valid values.
if ( this.isEmpty() ) this.makeEmpty();
return this;
}
union( box ) {
this.min.min( box.min );
this.max.max( box.max );
return this;
}
applyMatrix4( matrix ) {
// transform of empty box is an empty box.
if ( this.isEmpty() ) return this;
// NOTE: I am using a binary pattern to specify all 2^3 combinations below
_points[ 0 ].set( this.min.x, this.min.y, this.min.z ).applyMatrix4( matrix ); // 000
_points[ 1 ].set( this.min.x, this.min.y, this.max.z ).applyMatrix4( matrix ); // 001
_points[ 2 ].set( this.min.x, this.max.y, this.min.z ).applyMatrix4( matrix ); // 010
_points[ 3 ].set( this.min.x, this.max.y, this.max.z ).applyMatrix4( matrix ); // 011
_points[ 4 ].set( this.max.x, this.min.y, this.min.z ).applyMatrix4( matrix ); // 100
_points[ 5 ].set( this.max.x, this.min.y, this.max.z ).applyMatrix4( matrix ); // 101
_points[ 6 ].set( this.max.x, this.max.y, this.min.z ).applyMatrix4( matrix ); // 110
_points[ 7 ].set( this.max.x, this.max.y, this.max.z ).applyMatrix4( matrix ); // 111
this.setFromPoints( _points );
return this;
}
translate( offset ) {
this.min.add( offset );
this.max.add( offset );
return this;
}
equals( box ) {
return box.min.equals( this.min ) && box.max.equals( this.max );
}
}
const _points = [
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3(),
/*@__PURE__*/ new Vector3()
];
const _vector = /*@__PURE__*/ new Vector3();
const _box = /*@__PURE__*/ new Box3();
// triangle centered vertices
const _v0 = /*@__PURE__*/ new Vector3();
const _v1 = /*@__PURE__*/ new Vector3();
const _v2 = /*@__PURE__*/ new Vector3();
// triangle edge vectors
const _f0 = /*@__PURE__*/ new Vector3();
const _f1 = /*@__PURE__*/ new Vector3();
const _f2 = /*@__PURE__*/ new Vector3();
const _center = /*@__PURE__*/ new Vector3();
const _extents = /*@__PURE__*/ new Vector3();
const _triangleNormal = /*@__PURE__*/ new Vector3();
const _testAxis = /*@__PURE__*/ new Vector3();
function satForAxes( axes, v0, v1, v2, extents ) {
for ( let i = 0, j = axes.length - 3; i <= j; i += 3 ) {
_testAxis.fromArray( axes, i );
// project the aabb onto the separating axis
const r = extents.x * Math.abs( _testAxis.x ) + extents.y * Math.abs( _testAxis.y ) + extents.z * Math.abs( _testAxis.z );
// project all 3 vertices of the triangle onto the separating axis
const p0 = v0.dot( _testAxis );
const p1 = v1.dot( _testAxis );
const p2 = v2.dot( _testAxis );
// actual test, basically see if either of the most extreme of the triangle points intersects r
if ( Math.max( - Math.max( p0, p1, p2 ), Math.min( p0, p1, p2 ) ) > r ) {
// points of the projected triangle are outside the projected half-length of the aabb
// the axis is separating and we can exit
return false;
}
}
return true;
}
export { Box3 };

623
site/game/node_modules/three/src/math/Color.js generated vendored Normal file
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import { clamp, euclideanModulo, lerp } from './MathUtils.js';
import { ColorManagement, SRGBToLinear, LinearToSRGB } from './ColorManagement.js';
import { SRGBColorSpace } from '../constants.js';
const _colorKeywords = { 'aliceblue': 0xF0F8FF, 'antiquewhite': 0xFAEBD7, 'aqua': 0x00FFFF, 'aquamarine': 0x7FFFD4, 'azure': 0xF0FFFF,
'beige': 0xF5F5DC, 'bisque': 0xFFE4C4, 'black': 0x000000, 'blanchedalmond': 0xFFEBCD, 'blue': 0x0000FF, 'blueviolet': 0x8A2BE2,
'brown': 0xA52A2A, 'burlywood': 0xDEB887, 'cadetblue': 0x5F9EA0, 'chartreuse': 0x7FFF00, 'chocolate': 0xD2691E, 'coral': 0xFF7F50,
'cornflowerblue': 0x6495ED, 'cornsilk': 0xFFF8DC, 'crimson': 0xDC143C, 'cyan': 0x00FFFF, 'darkblue': 0x00008B, 'darkcyan': 0x008B8B,
'darkgoldenrod': 0xB8860B, 'darkgray': 0xA9A9A9, 'darkgreen': 0x006400, 'darkgrey': 0xA9A9A9, 'darkkhaki': 0xBDB76B, 'darkmagenta': 0x8B008B,
'darkolivegreen': 0x556B2F, 'darkorange': 0xFF8C00, 'darkorchid': 0x9932CC, 'darkred': 0x8B0000, 'darksalmon': 0xE9967A, 'darkseagreen': 0x8FBC8F,
'darkslateblue': 0x483D8B, 'darkslategray': 0x2F4F4F, 'darkslategrey': 0x2F4F4F, 'darkturquoise': 0x00CED1, 'darkviolet': 0x9400D3,
'deeppink': 0xFF1493, 'deepskyblue': 0x00BFFF, 'dimgray': 0x696969, 'dimgrey': 0x696969, 'dodgerblue': 0x1E90FF, 'firebrick': 0xB22222,
'floralwhite': 0xFFFAF0, 'forestgreen': 0x228B22, 'fuchsia': 0xFF00FF, 'gainsboro': 0xDCDCDC, 'ghostwhite': 0xF8F8FF, 'gold': 0xFFD700,
'goldenrod': 0xDAA520, 'gray': 0x808080, 'green': 0x008000, 'greenyellow': 0xADFF2F, 'grey': 0x808080, 'honeydew': 0xF0FFF0, 'hotpink': 0xFF69B4,
'indianred': 0xCD5C5C, 'indigo': 0x4B0082, 'ivory': 0xFFFFF0, 'khaki': 0xF0E68C, 'lavender': 0xE6E6FA, 'lavenderblush': 0xFFF0F5, 'lawngreen': 0x7CFC00,
'lemonchiffon': 0xFFFACD, 'lightblue': 0xADD8E6, 'lightcoral': 0xF08080, 'lightcyan': 0xE0FFFF, 'lightgoldenrodyellow': 0xFAFAD2, 'lightgray': 0xD3D3D3,
'lightgreen': 0x90EE90, 'lightgrey': 0xD3D3D3, 'lightpink': 0xFFB6C1, 'lightsalmon': 0xFFA07A, 'lightseagreen': 0x20B2AA, 'lightskyblue': 0x87CEFA,
'lightslategray': 0x778899, 'lightslategrey': 0x778899, 'lightsteelblue': 0xB0C4DE, 'lightyellow': 0xFFFFE0, 'lime': 0x00FF00, 'limegreen': 0x32CD32,
'linen': 0xFAF0E6, 'magenta': 0xFF00FF, 'maroon': 0x800000, 'mediumaquamarine': 0x66CDAA, 'mediumblue': 0x0000CD, 'mediumorchid': 0xBA55D3,
'mediumpurple': 0x9370DB, 'mediumseagreen': 0x3CB371, 'mediumslateblue': 0x7B68EE, 'mediumspringgreen': 0x00FA9A, 'mediumturquoise': 0x48D1CC,
'mediumvioletred': 0xC71585, 'midnightblue': 0x191970, 'mintcream': 0xF5FFFA, 'mistyrose': 0xFFE4E1, 'moccasin': 0xFFE4B5, 'navajowhite': 0xFFDEAD,
'navy': 0x000080, 'oldlace': 0xFDF5E6, 'olive': 0x808000, 'olivedrab': 0x6B8E23, 'orange': 0xFFA500, 'orangered': 0xFF4500, 'orchid': 0xDA70D6,
'palegoldenrod': 0xEEE8AA, 'palegreen': 0x98FB98, 'paleturquoise': 0xAFEEEE, 'palevioletred': 0xDB7093, 'papayawhip': 0xFFEFD5, 'peachpuff': 0xFFDAB9,
'peru': 0xCD853F, 'pink': 0xFFC0CB, 'plum': 0xDDA0DD, 'powderblue': 0xB0E0E6, 'purple': 0x800080, 'rebeccapurple': 0x663399, 'red': 0xFF0000, 'rosybrown': 0xBC8F8F,
'royalblue': 0x4169E1, 'saddlebrown': 0x8B4513, 'salmon': 0xFA8072, 'sandybrown': 0xF4A460, 'seagreen': 0x2E8B57, 'seashell': 0xFFF5EE,
'sienna': 0xA0522D, 'silver': 0xC0C0C0, 'skyblue': 0x87CEEB, 'slateblue': 0x6A5ACD, 'slategray': 0x708090, 'slategrey': 0x708090, 'snow': 0xFFFAFA,
'springgreen': 0x00FF7F, 'steelblue': 0x4682B4, 'tan': 0xD2B48C, 'teal': 0x008080, 'thistle': 0xD8BFD8, 'tomato': 0xFF6347, 'turquoise': 0x40E0D0,
'violet': 0xEE82EE, 'wheat': 0xF5DEB3, 'white': 0xFFFFFF, 'whitesmoke': 0xF5F5F5, 'yellow': 0xFFFF00, 'yellowgreen': 0x9ACD32 };
const _hslA = { h: 0, s: 0, l: 0 };
const _hslB = { h: 0, s: 0, l: 0 };
function hue2rgb( p, q, t ) {
if ( t < 0 ) t += 1;
if ( t > 1 ) t -= 1;
if ( t < 1 / 6 ) return p + ( q - p ) * 6 * t;
if ( t < 1 / 2 ) return q;
if ( t < 2 / 3 ) return p + ( q - p ) * 6 * ( 2 / 3 - t );
return p;
}
class Color {
constructor( r, g, b ) {
this.isColor = true;
this.r = 1;
this.g = 1;
this.b = 1;
return this.set( r, g, b );
}
set( r, g, b ) {
if ( g === undefined && b === undefined ) {
// r is THREE.Color, hex or string
const value = r;
if ( value && value.isColor ) {
this.copy( value );
} else if ( typeof value === 'number' ) {
this.setHex( value );
} else if ( typeof value === 'string' ) {
this.setStyle( value );
}
} else {
this.setRGB( r, g, b );
}
return this;
}
setScalar( scalar ) {
this.r = scalar;
this.g = scalar;
this.b = scalar;
return this;
}
setHex( hex, colorSpace = SRGBColorSpace ) {
hex = Math.floor( hex );
this.r = ( hex >> 16 & 255 ) / 255;
this.g = ( hex >> 8 & 255 ) / 255;
this.b = ( hex & 255 ) / 255;
ColorManagement.toWorkingColorSpace( this, colorSpace );
return this;
}
setRGB( r, g, b, colorSpace = ColorManagement.workingColorSpace ) {
this.r = r;
this.g = g;
this.b = b;
ColorManagement.toWorkingColorSpace( this, colorSpace );
return this;
}
setHSL( h, s, l, colorSpace = ColorManagement.workingColorSpace ) {
// h,s,l ranges are in 0.0 - 1.0
h = euclideanModulo( h, 1 );
s = clamp( s, 0, 1 );
l = clamp( l, 0, 1 );
if ( s === 0 ) {
this.r = this.g = this.b = l;
} else {
const p = l <= 0.5 ? l * ( 1 + s ) : l + s - ( l * s );
const q = ( 2 * l ) - p;
this.r = hue2rgb( q, p, h + 1 / 3 );
this.g = hue2rgb( q, p, h );
this.b = hue2rgb( q, p, h - 1 / 3 );
}
ColorManagement.toWorkingColorSpace( this, colorSpace );
return this;
}
setStyle( style, colorSpace = SRGBColorSpace ) {
function handleAlpha( string ) {
if ( string === undefined ) return;
if ( parseFloat( string ) < 1 ) {
console.warn( 'THREE.Color: Alpha component of ' + style + ' will be ignored.' );
}
}
let m;
if ( m = /^(\w+)\(([^\)]*)\)/.exec( style ) ) {
// rgb / hsl
let color;
const name = m[ 1 ];
const components = m[ 2 ];
switch ( name ) {
case 'rgb':
case 'rgba':
if ( color = /^\s*(\d+)\s*,\s*(\d+)\s*,\s*(\d+)\s*(?:,\s*(\d*\.?\d+)\s*)?$/.exec( components ) ) {
// rgb(255,0,0) rgba(255,0,0,0.5)
handleAlpha( color[ 4 ] );
return this.setRGB(
Math.min( 255, parseInt( color[ 1 ], 10 ) ) / 255,
Math.min( 255, parseInt( color[ 2 ], 10 ) ) / 255,
Math.min( 255, parseInt( color[ 3 ], 10 ) ) / 255,
colorSpace
);
}
if ( color = /^\s*(\d+)\%\s*,\s*(\d+)\%\s*,\s*(\d+)\%\s*(?:,\s*(\d*\.?\d+)\s*)?$/.exec( components ) ) {
// rgb(100%,0%,0%) rgba(100%,0%,0%,0.5)
handleAlpha( color[ 4 ] );
return this.setRGB(
Math.min( 100, parseInt( color[ 1 ], 10 ) ) / 100,
Math.min( 100, parseInt( color[ 2 ], 10 ) ) / 100,
Math.min( 100, parseInt( color[ 3 ], 10 ) ) / 100,
colorSpace
);
}
break;
case 'hsl':
case 'hsla':
if ( color = /^\s*(\d*\.?\d+)\s*,\s*(\d*\.?\d+)\%\s*,\s*(\d*\.?\d+)\%\s*(?:,\s*(\d*\.?\d+)\s*)?$/.exec( components ) ) {
// hsl(120,50%,50%) hsla(120,50%,50%,0.5)
handleAlpha( color[ 4 ] );
return this.setHSL(
parseFloat( color[ 1 ] ) / 360,
parseFloat( color[ 2 ] ) / 100,
parseFloat( color[ 3 ] ) / 100,
colorSpace
);
}
break;
default:
console.warn( 'THREE.Color: Unknown color model ' + style );
}
} else if ( m = /^\#([A-Fa-f\d]+)$/.exec( style ) ) {
// hex color
const hex = m[ 1 ];
const size = hex.length;
if ( size === 3 ) {
// #ff0
return this.setRGB(
parseInt( hex.charAt( 0 ), 16 ) / 15,
parseInt( hex.charAt( 1 ), 16 ) / 15,
parseInt( hex.charAt( 2 ), 16 ) / 15,
colorSpace
);
} else if ( size === 6 ) {
// #ff0000
return this.setHex( parseInt( hex, 16 ), colorSpace );
} else {
console.warn( 'THREE.Color: Invalid hex color ' + style );
}
} else if ( style && style.length > 0 ) {
return this.setColorName( style, colorSpace );
}
return this;
}
setColorName( style, colorSpace = SRGBColorSpace ) {
// color keywords
const hex = _colorKeywords[ style.toLowerCase() ];
if ( hex !== undefined ) {
// red
this.setHex( hex, colorSpace );
} else {
// unknown color
console.warn( 'THREE.Color: Unknown color ' + style );
}
return this;
}
clone() {
return new this.constructor( this.r, this.g, this.b );
}
copy( color ) {
this.r = color.r;
this.g = color.g;
this.b = color.b;
return this;
}
copySRGBToLinear( color ) {
this.r = SRGBToLinear( color.r );
this.g = SRGBToLinear( color.g );
this.b = SRGBToLinear( color.b );
return this;
}
copyLinearToSRGB( color ) {
this.r = LinearToSRGB( color.r );
this.g = LinearToSRGB( color.g );
this.b = LinearToSRGB( color.b );
return this;
}
convertSRGBToLinear() {
this.copySRGBToLinear( this );
return this;
}
convertLinearToSRGB() {
this.copyLinearToSRGB( this );
return this;
}
getHex( colorSpace = SRGBColorSpace ) {
ColorManagement.fromWorkingColorSpace( _color.copy( this ), colorSpace );
return Math.round( clamp( _color.r * 255, 0, 255 ) ) * 65536 + Math.round( clamp( _color.g * 255, 0, 255 ) ) * 256 + Math.round( clamp( _color.b * 255, 0, 255 ) );
}
getHexString( colorSpace = SRGBColorSpace ) {
return ( '000000' + this.getHex( colorSpace ).toString( 16 ) ).slice( - 6 );
}
getHSL( target, colorSpace = ColorManagement.workingColorSpace ) {
// h,s,l ranges are in 0.0 - 1.0
ColorManagement.fromWorkingColorSpace( _color.copy( this ), colorSpace );
const r = _color.r, g = _color.g, b = _color.b;
const max = Math.max( r, g, b );
const min = Math.min( r, g, b );
let hue, saturation;
const lightness = ( min + max ) / 2.0;
if ( min === max ) {
hue = 0;
saturation = 0;
} else {
const delta = max - min;
saturation = lightness <= 0.5 ? delta / ( max + min ) : delta / ( 2 - max - min );
switch ( max ) {
case r: hue = ( g - b ) / delta + ( g < b ? 6 : 0 ); break;
case g: hue = ( b - r ) / delta + 2; break;
case b: hue = ( r - g ) / delta + 4; break;
}
hue /= 6;
}
target.h = hue;
target.s = saturation;
target.l = lightness;
return target;
}
getRGB( target, colorSpace = ColorManagement.workingColorSpace ) {
ColorManagement.fromWorkingColorSpace( _color.copy( this ), colorSpace );
target.r = _color.r;
target.g = _color.g;
target.b = _color.b;
return target;
}
getStyle( colorSpace = SRGBColorSpace ) {
ColorManagement.fromWorkingColorSpace( _color.copy( this ), colorSpace );
const r = _color.r, g = _color.g, b = _color.b;
if ( colorSpace !== SRGBColorSpace ) {
// Requires CSS Color Module Level 4 (https://www.w3.org/TR/css-color-4/).
return `color(${ colorSpace } ${ r.toFixed( 3 ) } ${ g.toFixed( 3 ) } ${ b.toFixed( 3 ) })`;
}
return `rgb(${ Math.round( r * 255 ) },${ Math.round( g * 255 ) },${ Math.round( b * 255 ) })`;
}
offsetHSL( h, s, l ) {
this.getHSL( _hslA );
return this.setHSL( _hslA.h + h, _hslA.s + s, _hslA.l + l );
}
add( color ) {
this.r += color.r;
this.g += color.g;
this.b += color.b;
return this;
}
addColors( color1, color2 ) {
this.r = color1.r + color2.r;
this.g = color1.g + color2.g;
this.b = color1.b + color2.b;
return this;
}
addScalar( s ) {
this.r += s;
this.g += s;
this.b += s;
return this;
}
sub( color ) {
this.r = Math.max( 0, this.r - color.r );
this.g = Math.max( 0, this.g - color.g );
this.b = Math.max( 0, this.b - color.b );
return this;
}
multiply( color ) {
this.r *= color.r;
this.g *= color.g;
this.b *= color.b;
return this;
}
multiplyScalar( s ) {
this.r *= s;
this.g *= s;
this.b *= s;
return this;
}
lerp( color, alpha ) {
this.r += ( color.r - this.r ) * alpha;
this.g += ( color.g - this.g ) * alpha;
this.b += ( color.b - this.b ) * alpha;
return this;
}
lerpColors( color1, color2, alpha ) {
this.r = color1.r + ( color2.r - color1.r ) * alpha;
this.g = color1.g + ( color2.g - color1.g ) * alpha;
this.b = color1.b + ( color2.b - color1.b ) * alpha;
return this;
}
lerpHSL( color, alpha ) {
this.getHSL( _hslA );
color.getHSL( _hslB );
const h = lerp( _hslA.h, _hslB.h, alpha );
const s = lerp( _hslA.s, _hslB.s, alpha );
const l = lerp( _hslA.l, _hslB.l, alpha );
this.setHSL( h, s, l );
return this;
}
setFromVector3( v ) {
this.r = v.x;
this.g = v.y;
this.b = v.z;
return this;
}
applyMatrix3( m ) {
const r = this.r, g = this.g, b = this.b;
const e = m.elements;
this.r = e[ 0 ] * r + e[ 3 ] * g + e[ 6 ] * b;
this.g = e[ 1 ] * r + e[ 4 ] * g + e[ 7 ] * b;
this.b = e[ 2 ] * r + e[ 5 ] * g + e[ 8 ] * b;
return this;
}
equals( c ) {
return ( c.r === this.r ) && ( c.g === this.g ) && ( c.b === this.b );
}
fromArray( array, offset = 0 ) {
this.r = array[ offset ];
this.g = array[ offset + 1 ];
this.b = array[ offset + 2 ];
return this;
}
toArray( array = [], offset = 0 ) {
array[ offset ] = this.r;
array[ offset + 1 ] = this.g;
array[ offset + 2 ] = this.b;
return array;
}
fromBufferAttribute( attribute, index ) {
this.r = attribute.getX( index );
this.g = attribute.getY( index );
this.b = attribute.getZ( index );
return this;
}
toJSON() {
return this.getHex();
}
*[ Symbol.iterator ]() {
yield this.r;
yield this.g;
yield this.b;
}
}
const _color = /*@__PURE__*/ new Color();
Color.NAMES = _colorKeywords;
export { Color };

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import { SRGBColorSpace, LinearSRGBColorSpace, DisplayP3ColorSpace, LinearDisplayP3ColorSpace, Rec709Primaries, P3Primaries, SRGBTransfer, LinearTransfer, NoColorSpace, } from '../constants.js';
import { Matrix3 } from './Matrix3.js';
/**
* Matrices converting P3 <-> Rec. 709 primaries, without gamut mapping
* or clipping. Based on W3C specifications for sRGB and Display P3,
* and ICC specifications for the D50 connection space. Values in/out
* are _linear_ sRGB and _linear_ Display P3.
*
* Note that both sRGB and Display P3 use the sRGB transfer functions.
*
* Reference:
* - http://www.russellcottrell.com/photo/matrixCalculator.htm
*/
const LINEAR_SRGB_TO_LINEAR_DISPLAY_P3 = /*@__PURE__*/ new Matrix3().set(
0.8224621, 0.177538, 0.0,
0.0331941, 0.9668058, 0.0,
0.0170827, 0.0723974, 0.9105199,
);
const LINEAR_DISPLAY_P3_TO_LINEAR_SRGB = /*@__PURE__*/ new Matrix3().set(
1.2249401, - 0.2249404, 0.0,
- 0.0420569, 1.0420571, 0.0,
- 0.0196376, - 0.0786361, 1.0982735
);
/**
* Defines supported color spaces by transfer function and primaries,
* and provides conversions to/from the Linear-sRGB reference space.
*/
const COLOR_SPACES = {
[ LinearSRGBColorSpace ]: {
transfer: LinearTransfer,
primaries: Rec709Primaries,
luminanceCoefficients: [ 0.2126, 0.7152, 0.0722 ],
toReference: ( color ) => color,
fromReference: ( color ) => color,
},
[ SRGBColorSpace ]: {
transfer: SRGBTransfer,
primaries: Rec709Primaries,
luminanceCoefficients: [ 0.2126, 0.7152, 0.0722 ],
toReference: ( color ) => color.convertSRGBToLinear(),
fromReference: ( color ) => color.convertLinearToSRGB(),
},
[ LinearDisplayP3ColorSpace ]: {
transfer: LinearTransfer,
primaries: P3Primaries,
luminanceCoefficients: [ 0.2289, 0.6917, 0.0793 ],
toReference: ( color ) => color.applyMatrix3( LINEAR_DISPLAY_P3_TO_LINEAR_SRGB ),
fromReference: ( color ) => color.applyMatrix3( LINEAR_SRGB_TO_LINEAR_DISPLAY_P3 ),
},
[ DisplayP3ColorSpace ]: {
transfer: SRGBTransfer,
primaries: P3Primaries,
luminanceCoefficients: [ 0.2289, 0.6917, 0.0793 ],
toReference: ( color ) => color.convertSRGBToLinear().applyMatrix3( LINEAR_DISPLAY_P3_TO_LINEAR_SRGB ),
fromReference: ( color ) => color.applyMatrix3( LINEAR_SRGB_TO_LINEAR_DISPLAY_P3 ).convertLinearToSRGB(),
},
};
const SUPPORTED_WORKING_COLOR_SPACES = new Set( [ LinearSRGBColorSpace, LinearDisplayP3ColorSpace ] );
export const ColorManagement = {
enabled: true,
_workingColorSpace: LinearSRGBColorSpace,
get workingColorSpace() {
return this._workingColorSpace;
},
set workingColorSpace( colorSpace ) {
if ( ! SUPPORTED_WORKING_COLOR_SPACES.has( colorSpace ) ) {
throw new Error( `Unsupported working color space, "${ colorSpace }".` );
}
this._workingColorSpace = colorSpace;
},
convert: function ( color, sourceColorSpace, targetColorSpace ) {
if ( this.enabled === false || sourceColorSpace === targetColorSpace || ! sourceColorSpace || ! targetColorSpace ) {
return color;
}
const sourceToReference = COLOR_SPACES[ sourceColorSpace ].toReference;
const targetFromReference = COLOR_SPACES[ targetColorSpace ].fromReference;
return targetFromReference( sourceToReference( color ) );
},
fromWorkingColorSpace: function ( color, targetColorSpace ) {
return this.convert( color, this._workingColorSpace, targetColorSpace );
},
toWorkingColorSpace: function ( color, sourceColorSpace ) {
return this.convert( color, sourceColorSpace, this._workingColorSpace );
},
getPrimaries: function ( colorSpace ) {
return COLOR_SPACES[ colorSpace ].primaries;
},
getTransfer: function ( colorSpace ) {
if ( colorSpace === NoColorSpace ) return LinearTransfer;
return COLOR_SPACES[ colorSpace ].transfer;
},
getLuminanceCoefficients: function ( target, colorSpace = this._workingColorSpace ) {
return target.fromArray( COLOR_SPACES[ colorSpace ].luminanceCoefficients );
},
};
export function SRGBToLinear( c ) {
return ( c < 0.04045 ) ? c * 0.0773993808 : Math.pow( c * 0.9478672986 + 0.0521327014, 2.4 );
}
export function LinearToSRGB( c ) {
return ( c < 0.0031308 ) ? c * 12.92 : 1.055 * ( Math.pow( c, 0.41666 ) ) - 0.055;
}

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site/game/node_modules/three/src/math/Cylindrical.js generated vendored Normal file
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/**
* Ref: https://en.wikipedia.org/wiki/Cylindrical_coordinate_system
*/
class Cylindrical {
constructor( radius = 1, theta = 0, y = 0 ) {
this.radius = radius; // distance from the origin to a point in the x-z plane
this.theta = theta; // counterclockwise angle in the x-z plane measured in radians from the positive z-axis
this.y = y; // height above the x-z plane
return this;
}
set( radius, theta, y ) {
this.radius = radius;
this.theta = theta;
this.y = y;
return this;
}
copy( other ) {
this.radius = other.radius;
this.theta = other.theta;
this.y = other.y;
return this;
}
setFromVector3( v ) {
return this.setFromCartesianCoords( v.x, v.y, v.z );
}
setFromCartesianCoords( x, y, z ) {
this.radius = Math.sqrt( x * x + z * z );
this.theta = Math.atan2( x, z );
this.y = y;
return this;
}
clone() {
return new this.constructor().copy( this );
}
}
export { Cylindrical };

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site/game/node_modules/three/src/math/Euler.js generated vendored Normal file
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import { Quaternion } from './Quaternion.js';
import { Matrix4 } from './Matrix4.js';
import { clamp } from './MathUtils.js';
const _matrix = /*@__PURE__*/ new Matrix4();
const _quaternion = /*@__PURE__*/ new Quaternion();
class Euler {
constructor( x = 0, y = 0, z = 0, order = Euler.DEFAULT_ORDER ) {
this.isEuler = true;
this._x = x;
this._y = y;
this._z = z;
this._order = order;
}
get x() {
return this._x;
}
set x( value ) {
this._x = value;
this._onChangeCallback();
}
get y() {
return this._y;
}
set y( value ) {
this._y = value;
this._onChangeCallback();
}
get z() {
return this._z;
}
set z( value ) {
this._z = value;
this._onChangeCallback();
}
get order() {
return this._order;
}
set order( value ) {
this._order = value;
this._onChangeCallback();
}
set( x, y, z, order = this._order ) {
this._x = x;
this._y = y;
this._z = z;
this._order = order;
this._onChangeCallback();
return this;
}
clone() {
return new this.constructor( this._x, this._y, this._z, this._order );
}
copy( euler ) {
this._x = euler._x;
this._y = euler._y;
this._z = euler._z;
this._order = euler._order;
this._onChangeCallback();
return this;
}
setFromRotationMatrix( m, order = this._order, update = true ) {
// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
const te = m.elements;
const m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ];
const m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ];
const m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ];
switch ( order ) {
case 'XYZ':
this._y = Math.asin( clamp( m13, - 1, 1 ) );
if ( Math.abs( m13 ) < 0.9999999 ) {
this._x = Math.atan2( - m23, m33 );
this._z = Math.atan2( - m12, m11 );
} else {
this._x = Math.atan2( m32, m22 );
this._z = 0;
}
break;
case 'YXZ':
this._x = Math.asin( - clamp( m23, - 1, 1 ) );
if ( Math.abs( m23 ) < 0.9999999 ) {
this._y = Math.atan2( m13, m33 );
this._z = Math.atan2( m21, m22 );
} else {
this._y = Math.atan2( - m31, m11 );
this._z = 0;
}
break;
case 'ZXY':
this._x = Math.asin( clamp( m32, - 1, 1 ) );
if ( Math.abs( m32 ) < 0.9999999 ) {
this._y = Math.atan2( - m31, m33 );
this._z = Math.atan2( - m12, m22 );
} else {
this._y = 0;
this._z = Math.atan2( m21, m11 );
}
break;
case 'ZYX':
this._y = Math.asin( - clamp( m31, - 1, 1 ) );
if ( Math.abs( m31 ) < 0.9999999 ) {
this._x = Math.atan2( m32, m33 );
this._z = Math.atan2( m21, m11 );
} else {
this._x = 0;
this._z = Math.atan2( - m12, m22 );
}
break;
case 'YZX':
this._z = Math.asin( clamp( m21, - 1, 1 ) );
if ( Math.abs( m21 ) < 0.9999999 ) {
this._x = Math.atan2( - m23, m22 );
this._y = Math.atan2( - m31, m11 );
} else {
this._x = 0;
this._y = Math.atan2( m13, m33 );
}
break;
case 'XZY':
this._z = Math.asin( - clamp( m12, - 1, 1 ) );
if ( Math.abs( m12 ) < 0.9999999 ) {
this._x = Math.atan2( m32, m22 );
this._y = Math.atan2( m13, m11 );
} else {
this._x = Math.atan2( - m23, m33 );
this._y = 0;
}
break;
default:
console.warn( 'THREE.Euler: .setFromRotationMatrix() encountered an unknown order: ' + order );
}
this._order = order;
if ( update === true ) this._onChangeCallback();
return this;
}
setFromQuaternion( q, order, update ) {
_matrix.makeRotationFromQuaternion( q );
return this.setFromRotationMatrix( _matrix, order, update );
}
setFromVector3( v, order = this._order ) {
return this.set( v.x, v.y, v.z, order );
}
reorder( newOrder ) {
// WARNING: this discards revolution information -bhouston
_quaternion.setFromEuler( this );
return this.setFromQuaternion( _quaternion, newOrder );
}
equals( euler ) {
return ( euler._x === this._x ) && ( euler._y === this._y ) && ( euler._z === this._z ) && ( euler._order === this._order );
}
fromArray( array ) {
this._x = array[ 0 ];
this._y = array[ 1 ];
this._z = array[ 2 ];
if ( array[ 3 ] !== undefined ) this._order = array[ 3 ];
this._onChangeCallback();
return this;
}
toArray( array = [], offset = 0 ) {
array[ offset ] = this._x;
array[ offset + 1 ] = this._y;
array[ offset + 2 ] = this._z;
array[ offset + 3 ] = this._order;
return array;
}
_onChange( callback ) {
this._onChangeCallback = callback;
return this;
}
_onChangeCallback() {}
*[ Symbol.iterator ]() {
yield this._x;
yield this._y;
yield this._z;
yield this._order;
}
}
Euler.DEFAULT_ORDER = 'XYZ';
export { Euler };

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site/game/node_modules/three/src/math/Frustum.js generated vendored Normal file
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import { WebGLCoordinateSystem, WebGPUCoordinateSystem } from '../constants.js';
import { Vector3 } from './Vector3.js';
import { Sphere } from './Sphere.js';
import { Plane } from './Plane.js';
const _sphere = /*@__PURE__*/ new Sphere();
const _vector = /*@__PURE__*/ new Vector3();
class Frustum {
constructor( p0 = new Plane(), p1 = new Plane(), p2 = new Plane(), p3 = new Plane(), p4 = new Plane(), p5 = new Plane() ) {
this.planes = [ p0, p1, p2, p3, p4, p5 ];
}
set( p0, p1, p2, p3, p4, p5 ) {
const planes = this.planes;
planes[ 0 ].copy( p0 );
planes[ 1 ].copy( p1 );
planes[ 2 ].copy( p2 );
planes[ 3 ].copy( p3 );
planes[ 4 ].copy( p4 );
planes[ 5 ].copy( p5 );
return this;
}
copy( frustum ) {
const planes = this.planes;
for ( let i = 0; i < 6; i ++ ) {
planes[ i ].copy( frustum.planes[ i ] );
}
return this;
}
setFromProjectionMatrix( m, coordinateSystem = WebGLCoordinateSystem ) {
const planes = this.planes;
const me = m.elements;
const me0 = me[ 0 ], me1 = me[ 1 ], me2 = me[ 2 ], me3 = me[ 3 ];
const me4 = me[ 4 ], me5 = me[ 5 ], me6 = me[ 6 ], me7 = me[ 7 ];
const me8 = me[ 8 ], me9 = me[ 9 ], me10 = me[ 10 ], me11 = me[ 11 ];
const me12 = me[ 12 ], me13 = me[ 13 ], me14 = me[ 14 ], me15 = me[ 15 ];
planes[ 0 ].setComponents( me3 - me0, me7 - me4, me11 - me8, me15 - me12 ).normalize();
planes[ 1 ].setComponents( me3 + me0, me7 + me4, me11 + me8, me15 + me12 ).normalize();
planes[ 2 ].setComponents( me3 + me1, me7 + me5, me11 + me9, me15 + me13 ).normalize();
planes[ 3 ].setComponents( me3 - me1, me7 - me5, me11 - me9, me15 - me13 ).normalize();
planes[ 4 ].setComponents( me3 - me2, me7 - me6, me11 - me10, me15 - me14 ).normalize();
if ( coordinateSystem === WebGLCoordinateSystem ) {
planes[ 5 ].setComponents( me3 + me2, me7 + me6, me11 + me10, me15 + me14 ).normalize();
} else if ( coordinateSystem === WebGPUCoordinateSystem ) {
planes[ 5 ].setComponents( me2, me6, me10, me14 ).normalize();
} else {
throw new Error( 'THREE.Frustum.setFromProjectionMatrix(): Invalid coordinate system: ' + coordinateSystem );
}
return this;
}
intersectsObject( object ) {
if ( object.boundingSphere !== undefined ) {
if ( object.boundingSphere === null ) object.computeBoundingSphere();
_sphere.copy( object.boundingSphere ).applyMatrix4( object.matrixWorld );
} else {
const geometry = object.geometry;
if ( geometry.boundingSphere === null ) geometry.computeBoundingSphere();
_sphere.copy( geometry.boundingSphere ).applyMatrix4( object.matrixWorld );
}
return this.intersectsSphere( _sphere );
}
intersectsSprite( sprite ) {
_sphere.center.set( 0, 0, 0 );
_sphere.radius = 0.7071067811865476;
_sphere.applyMatrix4( sprite.matrixWorld );
return this.intersectsSphere( _sphere );
}
intersectsSphere( sphere ) {
const planes = this.planes;
const center = sphere.center;
const negRadius = - sphere.radius;
for ( let i = 0; i < 6; i ++ ) {
const distance = planes[ i ].distanceToPoint( center );
if ( distance < negRadius ) {
return false;
}
}
return true;
}
intersectsBox( box ) {
const planes = this.planes;
for ( let i = 0; i < 6; i ++ ) {
const plane = planes[ i ];
// corner at max distance
_vector.x = plane.normal.x > 0 ? box.max.x : box.min.x;
_vector.y = plane.normal.y > 0 ? box.max.y : box.min.y;
_vector.z = plane.normal.z > 0 ? box.max.z : box.min.z;
if ( plane.distanceToPoint( _vector ) < 0 ) {
return false;
}
}
return true;
}
containsPoint( point ) {
const planes = this.planes;
for ( let i = 0; i < 6; i ++ ) {
if ( planes[ i ].distanceToPoint( point ) < 0 ) {
return false;
}
}
return true;
}
clone() {
return new this.constructor().copy( this );
}
}
export { Frustum };

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/**
* Abstract base class of interpolants over parametric samples.
*
* The parameter domain is one dimensional, typically the time or a path
* along a curve defined by the data.
*
* The sample values can have any dimensionality and derived classes may
* apply special interpretations to the data.
*
* This class provides the interval seek in a Template Method, deferring
* the actual interpolation to derived classes.
*
* Time complexity is O(1) for linear access crossing at most two points
* and O(log N) for random access, where N is the number of positions.
*
* References:
*
* http://www.oodesign.com/template-method-pattern.html
*
*/
class Interpolant {
constructor( parameterPositions, sampleValues, sampleSize, resultBuffer ) {
this.parameterPositions = parameterPositions;
this._cachedIndex = 0;
this.resultBuffer = resultBuffer !== undefined ?
resultBuffer : new sampleValues.constructor( sampleSize );
this.sampleValues = sampleValues;
this.valueSize = sampleSize;
this.settings = null;
this.DefaultSettings_ = {};
}
evaluate( t ) {
const pp = this.parameterPositions;
let i1 = this._cachedIndex,
t1 = pp[ i1 ],
t0 = pp[ i1 - 1 ];
validate_interval: {
seek: {
let right;
linear_scan: {
//- See http://jsperf.com/comparison-to-undefined/3
//- slower code:
//-
//- if ( t >= t1 || t1 === undefined ) {
forward_scan: if ( ! ( t < t1 ) ) {
for ( let giveUpAt = i1 + 2; ; ) {
if ( t1 === undefined ) {
if ( t < t0 ) break forward_scan;
// after end
i1 = pp.length;
this._cachedIndex = i1;
return this.copySampleValue_( i1 - 1 );
}
if ( i1 === giveUpAt ) break; // this loop
t0 = t1;
t1 = pp[ ++ i1 ];
if ( t < t1 ) {
// we have arrived at the sought interval
break seek;
}
}
// prepare binary search on the right side of the index
right = pp.length;
break linear_scan;
}
//- slower code:
//- if ( t < t0 || t0 === undefined ) {
if ( ! ( t >= t0 ) ) {
// looping?
const t1global = pp[ 1 ];
if ( t < t1global ) {
i1 = 2; // + 1, using the scan for the details
t0 = t1global;
}
// linear reverse scan
for ( let giveUpAt = i1 - 2; ; ) {
if ( t0 === undefined ) {
// before start
this._cachedIndex = 0;
return this.copySampleValue_( 0 );
}
if ( i1 === giveUpAt ) break; // this loop
t1 = t0;
t0 = pp[ -- i1 - 1 ];
if ( t >= t0 ) {
// we have arrived at the sought interval
break seek;
}
}
// prepare binary search on the left side of the index
right = i1;
i1 = 0;
break linear_scan;
}
// the interval is valid
break validate_interval;
} // linear scan
// binary search
while ( i1 < right ) {
const mid = ( i1 + right ) >>> 1;
if ( t < pp[ mid ] ) {
right = mid;
} else {
i1 = mid + 1;
}
}
t1 = pp[ i1 ];
t0 = pp[ i1 - 1 ];
// check boundary cases, again
if ( t0 === undefined ) {
this._cachedIndex = 0;
return this.copySampleValue_( 0 );
}
if ( t1 === undefined ) {
i1 = pp.length;
this._cachedIndex = i1;
return this.copySampleValue_( i1 - 1 );
}
} // seek
this._cachedIndex = i1;
this.intervalChanged_( i1, t0, t1 );
} // validate_interval
return this.interpolate_( i1, t0, t, t1 );
}
getSettings_() {
return this.settings || this.DefaultSettings_;
}
copySampleValue_( index ) {
// copies a sample value to the result buffer
const result = this.resultBuffer,
values = this.sampleValues,
stride = this.valueSize,
offset = index * stride;
for ( let i = 0; i !== stride; ++ i ) {
result[ i ] = values[ offset + i ];
}
return result;
}
// Template methods for derived classes:
interpolate_( /* i1, t0, t, t1 */ ) {
throw new Error( 'call to abstract method' );
// implementations shall return this.resultBuffer
}
intervalChanged_( /* i1, t0, t1 */ ) {
// empty
}
}
export { Interpolant };

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import { Vector3 } from './Vector3.js';
import * as MathUtils from './MathUtils.js';
const _startP = /*@__PURE__*/ new Vector3();
const _startEnd = /*@__PURE__*/ new Vector3();
class Line3 {
constructor( start = new Vector3(), end = new Vector3() ) {
this.start = start;
this.end = end;
}
set( start, end ) {
this.start.copy( start );
this.end.copy( end );
return this;
}
copy( line ) {
this.start.copy( line.start );
this.end.copy( line.end );
return this;
}
getCenter( target ) {
return target.addVectors( this.start, this.end ).multiplyScalar( 0.5 );
}
delta( target ) {
return target.subVectors( this.end, this.start );
}
distanceSq() {
return this.start.distanceToSquared( this.end );
}
distance() {
return this.start.distanceTo( this.end );
}
at( t, target ) {
return this.delta( target ).multiplyScalar( t ).add( this.start );
}
closestPointToPointParameter( point, clampToLine ) {
_startP.subVectors( point, this.start );
_startEnd.subVectors( this.end, this.start );
const startEnd2 = _startEnd.dot( _startEnd );
const startEnd_startP = _startEnd.dot( _startP );
let t = startEnd_startP / startEnd2;
if ( clampToLine ) {
t = MathUtils.clamp( t, 0, 1 );
}
return t;
}
closestPointToPoint( point, clampToLine, target ) {
const t = this.closestPointToPointParameter( point, clampToLine );
return this.delta( target ).multiplyScalar( t ).add( this.start );
}
applyMatrix4( matrix ) {
this.start.applyMatrix4( matrix );
this.end.applyMatrix4( matrix );
return this;
}
equals( line ) {
return line.start.equals( this.start ) && line.end.equals( this.end );
}
clone() {
return new this.constructor().copy( this );
}
}
export { Line3 };

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const _lut = [ '00', '01', '02', '03', '04', '05', '06', '07', '08', '09', '0a', '0b', '0c', '0d', '0e', '0f', '10', '11', '12', '13', '14', '15', '16', '17', '18', '19', '1a', '1b', '1c', '1d', '1e', '1f', '20', '21', '22', '23', '24', '25', '26', '27', '28', '29', '2a', '2b', '2c', '2d', '2e', '2f', '30', '31', '32', '33', '34', '35', '36', '37', '38', '39', '3a', '3b', '3c', '3d', '3e', '3f', '40', '41', '42', '43', '44', '45', '46', '47', '48', '49', '4a', '4b', '4c', '4d', '4e', '4f', '50', '51', '52', '53', '54', '55', '56', '57', '58', '59', '5a', '5b', '5c', '5d', '5e', '5f', '60', '61', '62', '63', '64', '65', '66', '67', '68', '69', '6a', '6b', '6c', '6d', '6e', '6f', '70', '71', '72', '73', '74', '75', '76', '77', '78', '79', '7a', '7b', '7c', '7d', '7e', '7f', '80', '81', '82', '83', '84', '85', '86', '87', '88', '89', '8a', '8b', '8c', '8d', '8e', '8f', '90', '91', '92', '93', '94', '95', '96', '97', '98', '99', '9a', '9b', '9c', '9d', '9e', '9f', 'a0', 'a1', 'a2', 'a3', 'a4', 'a5', 'a6', 'a7', 'a8', 'a9', 'aa', 'ab', 'ac', 'ad', 'ae', 'af', 'b0', 'b1', 'b2', 'b3', 'b4', 'b5', 'b6', 'b7', 'b8', 'b9', 'ba', 'bb', 'bc', 'bd', 'be', 'bf', 'c0', 'c1', 'c2', 'c3', 'c4', 'c5', 'c6', 'c7', 'c8', 'c9', 'ca', 'cb', 'cc', 'cd', 'ce', 'cf', 'd0', 'd1', 'd2', 'd3', 'd4', 'd5', 'd6', 'd7', 'd8', 'd9', 'da', 'db', 'dc', 'dd', 'de', 'df', 'e0', 'e1', 'e2', 'e3', 'e4', 'e5', 'e6', 'e7', 'e8', 'e9', 'ea', 'eb', 'ec', 'ed', 'ee', 'ef', 'f0', 'f1', 'f2', 'f3', 'f4', 'f5', 'f6', 'f7', 'f8', 'f9', 'fa', 'fb', 'fc', 'fd', 'fe', 'ff' ];
let _seed = 1234567;
const DEG2RAD = Math.PI / 180;
const RAD2DEG = 180 / Math.PI;
// http://stackoverflow.com/questions/105034/how-to-create-a-guid-uuid-in-javascript/21963136#21963136
function generateUUID() {
const d0 = Math.random() * 0xffffffff | 0;
const d1 = Math.random() * 0xffffffff | 0;
const d2 = Math.random() * 0xffffffff | 0;
const d3 = Math.random() * 0xffffffff | 0;
const uuid = _lut[ d0 & 0xff ] + _lut[ d0 >> 8 & 0xff ] + _lut[ d0 >> 16 & 0xff ] + _lut[ d0 >> 24 & 0xff ] + '-' +
_lut[ d1 & 0xff ] + _lut[ d1 >> 8 & 0xff ] + '-' + _lut[ d1 >> 16 & 0x0f | 0x40 ] + _lut[ d1 >> 24 & 0xff ] + '-' +
_lut[ d2 & 0x3f | 0x80 ] + _lut[ d2 >> 8 & 0xff ] + '-' + _lut[ d2 >> 16 & 0xff ] + _lut[ d2 >> 24 & 0xff ] +
_lut[ d3 & 0xff ] + _lut[ d3 >> 8 & 0xff ] + _lut[ d3 >> 16 & 0xff ] + _lut[ d3 >> 24 & 0xff ];
// .toLowerCase() here flattens concatenated strings to save heap memory space.
return uuid.toLowerCase();
}
function clamp( value, min, max ) {
return Math.max( min, Math.min( max, value ) );
}
// compute euclidean modulo of m % n
// https://en.wikipedia.org/wiki/Modulo_operation
function euclideanModulo( n, m ) {
return ( ( n % m ) + m ) % m;
}
// Linear mapping from range <a1, a2> to range <b1, b2>
function mapLinear( x, a1, a2, b1, b2 ) {
return b1 + ( x - a1 ) * ( b2 - b1 ) / ( a2 - a1 );
}
// https://www.gamedev.net/tutorials/programming/general-and-gameplay-programming/inverse-lerp-a-super-useful-yet-often-overlooked-function-r5230/
function inverseLerp( x, y, value ) {
if ( x !== y ) {
return ( value - x ) / ( y - x );
} else {
return 0;
}
}
// https://en.wikipedia.org/wiki/Linear_interpolation
function lerp( x, y, t ) {
return ( 1 - t ) * x + t * y;
}
// http://www.rorydriscoll.com/2016/03/07/frame-rate-independent-damping-using-lerp/
function damp( x, y, lambda, dt ) {
return lerp( x, y, 1 - Math.exp( - lambda * dt ) );
}
// https://www.desmos.com/calculator/vcsjnyz7x4
function pingpong( x, length = 1 ) {
return length - Math.abs( euclideanModulo( x, length * 2 ) - length );
}
// http://en.wikipedia.org/wiki/Smoothstep
function smoothstep( x, min, max ) {
if ( x <= min ) return 0;
if ( x >= max ) return 1;
x = ( x - min ) / ( max - min );
return x * x * ( 3 - 2 * x );
}
function smootherstep( x, min, max ) {
if ( x <= min ) return 0;
if ( x >= max ) return 1;
x = ( x - min ) / ( max - min );
return x * x * x * ( x * ( x * 6 - 15 ) + 10 );
}
// Random integer from <low, high> interval
function randInt( low, high ) {
return low + Math.floor( Math.random() * ( high - low + 1 ) );
}
// Random float from <low, high> interval
function randFloat( low, high ) {
return low + Math.random() * ( high - low );
}
// Random float from <-range/2, range/2> interval
function randFloatSpread( range ) {
return range * ( 0.5 - Math.random() );
}
// Deterministic pseudo-random float in the interval [ 0, 1 ]
function seededRandom( s ) {
if ( s !== undefined ) _seed = s;
// Mulberry32 generator
let t = _seed += 0x6D2B79F5;
t = Math.imul( t ^ t >>> 15, t | 1 );
t ^= t + Math.imul( t ^ t >>> 7, t | 61 );
return ( ( t ^ t >>> 14 ) >>> 0 ) / 4294967296;
}
function degToRad( degrees ) {
return degrees * DEG2RAD;
}
function radToDeg( radians ) {
return radians * RAD2DEG;
}
function isPowerOfTwo( value ) {
return ( value & ( value - 1 ) ) === 0 && value !== 0;
}
function ceilPowerOfTwo( value ) {
return Math.pow( 2, Math.ceil( Math.log( value ) / Math.LN2 ) );
}
function floorPowerOfTwo( value ) {
return Math.pow( 2, Math.floor( Math.log( value ) / Math.LN2 ) );
}
function setQuaternionFromProperEuler( q, a, b, c, order ) {
// Intrinsic Proper Euler Angles - see https://en.wikipedia.org/wiki/Euler_angles
// rotations are applied to the axes in the order specified by 'order'
// rotation by angle 'a' is applied first, then by angle 'b', then by angle 'c'
// angles are in radians
const cos = Math.cos;
const sin = Math.sin;
const c2 = cos( b / 2 );
const s2 = sin( b / 2 );
const c13 = cos( ( a + c ) / 2 );
const s13 = sin( ( a + c ) / 2 );
const c1_3 = cos( ( a - c ) / 2 );
const s1_3 = sin( ( a - c ) / 2 );
const c3_1 = cos( ( c - a ) / 2 );
const s3_1 = sin( ( c - a ) / 2 );
switch ( order ) {
case 'XYX':
q.set( c2 * s13, s2 * c1_3, s2 * s1_3, c2 * c13 );
break;
case 'YZY':
q.set( s2 * s1_3, c2 * s13, s2 * c1_3, c2 * c13 );
break;
case 'ZXZ':
q.set( s2 * c1_3, s2 * s1_3, c2 * s13, c2 * c13 );
break;
case 'XZX':
q.set( c2 * s13, s2 * s3_1, s2 * c3_1, c2 * c13 );
break;
case 'YXY':
q.set( s2 * c3_1, c2 * s13, s2 * s3_1, c2 * c13 );
break;
case 'ZYZ':
q.set( s2 * s3_1, s2 * c3_1, c2 * s13, c2 * c13 );
break;
default:
console.warn( 'THREE.MathUtils: .setQuaternionFromProperEuler() encountered an unknown order: ' + order );
}
}
function denormalize( value, array ) {
switch ( array.constructor ) {
case Float32Array:
return value;
case Uint32Array:
return value / 4294967295.0;
case Uint16Array:
return value / 65535.0;
case Uint8Array:
return value / 255.0;
case Int32Array:
return Math.max( value / 2147483647.0, - 1.0 );
case Int16Array:
return Math.max( value / 32767.0, - 1.0 );
case Int8Array:
return Math.max( value / 127.0, - 1.0 );
default:
throw new Error( 'Invalid component type.' );
}
}
function normalize( value, array ) {
switch ( array.constructor ) {
case Float32Array:
return value;
case Uint32Array:
return Math.round( value * 4294967295.0 );
case Uint16Array:
return Math.round( value * 65535.0 );
case Uint8Array:
return Math.round( value * 255.0 );
case Int32Array:
return Math.round( value * 2147483647.0 );
case Int16Array:
return Math.round( value * 32767.0 );
case Int8Array:
return Math.round( value * 127.0 );
default:
throw new Error( 'Invalid component type.' );
}
}
const MathUtils = {
DEG2RAD: DEG2RAD,
RAD2DEG: RAD2DEG,
generateUUID: generateUUID,
clamp: clamp,
euclideanModulo: euclideanModulo,
mapLinear: mapLinear,
inverseLerp: inverseLerp,
lerp: lerp,
damp: damp,
pingpong: pingpong,
smoothstep: smoothstep,
smootherstep: smootherstep,
randInt: randInt,
randFloat: randFloat,
randFloatSpread: randFloatSpread,
seededRandom: seededRandom,
degToRad: degToRad,
radToDeg: radToDeg,
isPowerOfTwo: isPowerOfTwo,
ceilPowerOfTwo: ceilPowerOfTwo,
floorPowerOfTwo: floorPowerOfTwo,
setQuaternionFromProperEuler: setQuaternionFromProperEuler,
normalize: normalize,
denormalize: denormalize
};
export {
DEG2RAD,
RAD2DEG,
generateUUID,
clamp,
euclideanModulo,
mapLinear,
inverseLerp,
lerp,
damp,
pingpong,
smoothstep,
smootherstep,
randInt,
randFloat,
randFloatSpread,
seededRandom,
degToRad,
radToDeg,
isPowerOfTwo,
ceilPowerOfTwo,
floorPowerOfTwo,
setQuaternionFromProperEuler,
normalize,
denormalize,
MathUtils
};

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export class Matrix2 {
constructor( n11, n12, n21, n22 ) {
Matrix2.prototype.isMatrix2 = true;
this.elements = [
1, 0,
0, 1,
];
if ( n11 !== undefined ) {
this.set( n11, n12, n21, n22 );
}
}
identity() {
this.set(
1, 0,
0, 1,
);
return this;
}
fromArray( array, offset = 0 ) {
for ( let i = 0; i < 4; i ++ ) {
this.elements[ i ] = array[ i + offset ];
}
return this;
}
set( n11, n12, n21, n22 ) {
const te = this.elements;
te[ 0 ] = n11; te[ 2 ] = n12;
te[ 1 ] = n21; te[ 3 ] = n22;
return this;
}
}

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class Matrix3 {
constructor( n11, n12, n13, n21, n22, n23, n31, n32, n33 ) {
Matrix3.prototype.isMatrix3 = true;
this.elements = [
1, 0, 0,
0, 1, 0,
0, 0, 1
];
if ( n11 !== undefined ) {
this.set( n11, n12, n13, n21, n22, n23, n31, n32, n33 );
}
}
set( n11, n12, n13, n21, n22, n23, n31, n32, n33 ) {
const te = this.elements;
te[ 0 ] = n11; te[ 1 ] = n21; te[ 2 ] = n31;
te[ 3 ] = n12; te[ 4 ] = n22; te[ 5 ] = n32;
te[ 6 ] = n13; te[ 7 ] = n23; te[ 8 ] = n33;
return this;
}
identity() {
this.set(
1, 0, 0,
0, 1, 0,
0, 0, 1
);
return this;
}
copy( m ) {
const te = this.elements;
const me = m.elements;
te[ 0 ] = me[ 0 ]; te[ 1 ] = me[ 1 ]; te[ 2 ] = me[ 2 ];
te[ 3 ] = me[ 3 ]; te[ 4 ] = me[ 4 ]; te[ 5 ] = me[ 5 ];
te[ 6 ] = me[ 6 ]; te[ 7 ] = me[ 7 ]; te[ 8 ] = me[ 8 ];
return this;
}
extractBasis( xAxis, yAxis, zAxis ) {
xAxis.setFromMatrix3Column( this, 0 );
yAxis.setFromMatrix3Column( this, 1 );
zAxis.setFromMatrix3Column( this, 2 );
return this;
}
setFromMatrix4( m ) {
const me = m.elements;
this.set(
me[ 0 ], me[ 4 ], me[ 8 ],
me[ 1 ], me[ 5 ], me[ 9 ],
me[ 2 ], me[ 6 ], me[ 10 ]
);
return this;
}
multiply( m ) {
return this.multiplyMatrices( this, m );
}
premultiply( m ) {
return this.multiplyMatrices( m, this );
}
multiplyMatrices( a, b ) {
const ae = a.elements;
const be = b.elements;
const te = this.elements;
const a11 = ae[ 0 ], a12 = ae[ 3 ], a13 = ae[ 6 ];
const a21 = ae[ 1 ], a22 = ae[ 4 ], a23 = ae[ 7 ];
const a31 = ae[ 2 ], a32 = ae[ 5 ], a33 = ae[ 8 ];
const b11 = be[ 0 ], b12 = be[ 3 ], b13 = be[ 6 ];
const b21 = be[ 1 ], b22 = be[ 4 ], b23 = be[ 7 ];
const b31 = be[ 2 ], b32 = be[ 5 ], b33 = be[ 8 ];
te[ 0 ] = a11 * b11 + a12 * b21 + a13 * b31;
te[ 3 ] = a11 * b12 + a12 * b22 + a13 * b32;
te[ 6 ] = a11 * b13 + a12 * b23 + a13 * b33;
te[ 1 ] = a21 * b11 + a22 * b21 + a23 * b31;
te[ 4 ] = a21 * b12 + a22 * b22 + a23 * b32;
te[ 7 ] = a21 * b13 + a22 * b23 + a23 * b33;
te[ 2 ] = a31 * b11 + a32 * b21 + a33 * b31;
te[ 5 ] = a31 * b12 + a32 * b22 + a33 * b32;
te[ 8 ] = a31 * b13 + a32 * b23 + a33 * b33;
return this;
}
multiplyScalar( s ) {
const te = this.elements;
te[ 0 ] *= s; te[ 3 ] *= s; te[ 6 ] *= s;
te[ 1 ] *= s; te[ 4 ] *= s; te[ 7 ] *= s;
te[ 2 ] *= s; te[ 5 ] *= s; te[ 8 ] *= s;
return this;
}
determinant() {
const te = this.elements;
const a = te[ 0 ], b = te[ 1 ], c = te[ 2 ],
d = te[ 3 ], e = te[ 4 ], f = te[ 5 ],
g = te[ 6 ], h = te[ 7 ], i = te[ 8 ];
return a * e * i - a * f * h - b * d * i + b * f * g + c * d * h - c * e * g;
}
invert() {
const te = this.elements,
n11 = te[ 0 ], n21 = te[ 1 ], n31 = te[ 2 ],
n12 = te[ 3 ], n22 = te[ 4 ], n32 = te[ 5 ],
n13 = te[ 6 ], n23 = te[ 7 ], n33 = te[ 8 ],
t11 = n33 * n22 - n32 * n23,
t12 = n32 * n13 - n33 * n12,
t13 = n23 * n12 - n22 * n13,
det = n11 * t11 + n21 * t12 + n31 * t13;
if ( det === 0 ) return this.set( 0, 0, 0, 0, 0, 0, 0, 0, 0 );
const detInv = 1 / det;
te[ 0 ] = t11 * detInv;
te[ 1 ] = ( n31 * n23 - n33 * n21 ) * detInv;
te[ 2 ] = ( n32 * n21 - n31 * n22 ) * detInv;
te[ 3 ] = t12 * detInv;
te[ 4 ] = ( n33 * n11 - n31 * n13 ) * detInv;
te[ 5 ] = ( n31 * n12 - n32 * n11 ) * detInv;
te[ 6 ] = t13 * detInv;
te[ 7 ] = ( n21 * n13 - n23 * n11 ) * detInv;
te[ 8 ] = ( n22 * n11 - n21 * n12 ) * detInv;
return this;
}
transpose() {
let tmp;
const m = this.elements;
tmp = m[ 1 ]; m[ 1 ] = m[ 3 ]; m[ 3 ] = tmp;
tmp = m[ 2 ]; m[ 2 ] = m[ 6 ]; m[ 6 ] = tmp;
tmp = m[ 5 ]; m[ 5 ] = m[ 7 ]; m[ 7 ] = tmp;
return this;
}
getNormalMatrix( matrix4 ) {
return this.setFromMatrix4( matrix4 ).invert().transpose();
}
transposeIntoArray( r ) {
const m = this.elements;
r[ 0 ] = m[ 0 ];
r[ 1 ] = m[ 3 ];
r[ 2 ] = m[ 6 ];
r[ 3 ] = m[ 1 ];
r[ 4 ] = m[ 4 ];
r[ 5 ] = m[ 7 ];
r[ 6 ] = m[ 2 ];
r[ 7 ] = m[ 5 ];
r[ 8 ] = m[ 8 ];
return this;
}
setUvTransform( tx, ty, sx, sy, rotation, cx, cy ) {
const c = Math.cos( rotation );
const s = Math.sin( rotation );
this.set(
sx * c, sx * s, - sx * ( c * cx + s * cy ) + cx + tx,
- sy * s, sy * c, - sy * ( - s * cx + c * cy ) + cy + ty,
0, 0, 1
);
return this;
}
//
scale( sx, sy ) {
this.premultiply( _m3.makeScale( sx, sy ) );
return this;
}
rotate( theta ) {
this.premultiply( _m3.makeRotation( - theta ) );
return this;
}
translate( tx, ty ) {
this.premultiply( _m3.makeTranslation( tx, ty ) );
return this;
}
// for 2D Transforms
makeTranslation( x, y ) {
if ( x.isVector2 ) {
this.set(
1, 0, x.x,
0, 1, x.y,
0, 0, 1
);
} else {
this.set(
1, 0, x,
0, 1, y,
0, 0, 1
);
}
return this;
}
makeRotation( theta ) {
// counterclockwise
const c = Math.cos( theta );
const s = Math.sin( theta );
this.set(
c, - s, 0,
s, c, 0,
0, 0, 1
);
return this;
}
makeScale( x, y ) {
this.set(
x, 0, 0,
0, y, 0,
0, 0, 1
);
return this;
}
//
equals( matrix ) {
const te = this.elements;
const me = matrix.elements;
for ( let i = 0; i < 9; i ++ ) {
if ( te[ i ] !== me[ i ] ) return false;
}
return true;
}
fromArray( array, offset = 0 ) {
for ( let i = 0; i < 9; i ++ ) {
this.elements[ i ] = array[ i + offset ];
}
return this;
}
toArray( array = [], offset = 0 ) {
const te = this.elements;
array[ offset ] = te[ 0 ];
array[ offset + 1 ] = te[ 1 ];
array[ offset + 2 ] = te[ 2 ];
array[ offset + 3 ] = te[ 3 ];
array[ offset + 4 ] = te[ 4 ];
array[ offset + 5 ] = te[ 5 ];
array[ offset + 6 ] = te[ 6 ];
array[ offset + 7 ] = te[ 7 ];
array[ offset + 8 ] = te[ 8 ];
return array;
}
clone() {
return new this.constructor().fromArray( this.elements );
}
}
const _m3 = /*@__PURE__*/ new Matrix3();
export { Matrix3 };

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site/game/node_modules/three/src/math/Matrix4.js generated vendored Normal file
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import { WebGLCoordinateSystem, WebGPUCoordinateSystem } from '../constants.js';
import { Vector3 } from './Vector3.js';
class Matrix4 {
constructor( n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 ) {
Matrix4.prototype.isMatrix4 = true;
this.elements = [
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
];
if ( n11 !== undefined ) {
this.set( n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 );
}
}
set( n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44 ) {
const te = this.elements;
te[ 0 ] = n11; te[ 4 ] = n12; te[ 8 ] = n13; te[ 12 ] = n14;
te[ 1 ] = n21; te[ 5 ] = n22; te[ 9 ] = n23; te[ 13 ] = n24;
te[ 2 ] = n31; te[ 6 ] = n32; te[ 10 ] = n33; te[ 14 ] = n34;
te[ 3 ] = n41; te[ 7 ] = n42; te[ 11 ] = n43; te[ 15 ] = n44;
return this;
}
identity() {
this.set(
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
);
return this;
}
clone() {
return new Matrix4().fromArray( this.elements );
}
copy( m ) {
const te = this.elements;
const me = m.elements;
te[ 0 ] = me[ 0 ]; te[ 1 ] = me[ 1 ]; te[ 2 ] = me[ 2 ]; te[ 3 ] = me[ 3 ];
te[ 4 ] = me[ 4 ]; te[ 5 ] = me[ 5 ]; te[ 6 ] = me[ 6 ]; te[ 7 ] = me[ 7 ];
te[ 8 ] = me[ 8 ]; te[ 9 ] = me[ 9 ]; te[ 10 ] = me[ 10 ]; te[ 11 ] = me[ 11 ];
te[ 12 ] = me[ 12 ]; te[ 13 ] = me[ 13 ]; te[ 14 ] = me[ 14 ]; te[ 15 ] = me[ 15 ];
return this;
}
copyPosition( m ) {
const te = this.elements, me = m.elements;
te[ 12 ] = me[ 12 ];
te[ 13 ] = me[ 13 ];
te[ 14 ] = me[ 14 ];
return this;
}
setFromMatrix3( m ) {
const me = m.elements;
this.set(
me[ 0 ], me[ 3 ], me[ 6 ], 0,
me[ 1 ], me[ 4 ], me[ 7 ], 0,
me[ 2 ], me[ 5 ], me[ 8 ], 0,
0, 0, 0, 1
);
return this;
}
extractBasis( xAxis, yAxis, zAxis ) {
xAxis.setFromMatrixColumn( this, 0 );
yAxis.setFromMatrixColumn( this, 1 );
zAxis.setFromMatrixColumn( this, 2 );
return this;
}
makeBasis( xAxis, yAxis, zAxis ) {
this.set(
xAxis.x, yAxis.x, zAxis.x, 0,
xAxis.y, yAxis.y, zAxis.y, 0,
xAxis.z, yAxis.z, zAxis.z, 0,
0, 0, 0, 1
);
return this;
}
extractRotation( m ) {
// this method does not support reflection matrices
const te = this.elements;
const me = m.elements;
const scaleX = 1 / _v1.setFromMatrixColumn( m, 0 ).length();
const scaleY = 1 / _v1.setFromMatrixColumn( m, 1 ).length();
const scaleZ = 1 / _v1.setFromMatrixColumn( m, 2 ).length();
te[ 0 ] = me[ 0 ] * scaleX;
te[ 1 ] = me[ 1 ] * scaleX;
te[ 2 ] = me[ 2 ] * scaleX;
te[ 3 ] = 0;
te[ 4 ] = me[ 4 ] * scaleY;
te[ 5 ] = me[ 5 ] * scaleY;
te[ 6 ] = me[ 6 ] * scaleY;
te[ 7 ] = 0;
te[ 8 ] = me[ 8 ] * scaleZ;
te[ 9 ] = me[ 9 ] * scaleZ;
te[ 10 ] = me[ 10 ] * scaleZ;
te[ 11 ] = 0;
te[ 12 ] = 0;
te[ 13 ] = 0;
te[ 14 ] = 0;
te[ 15 ] = 1;
return this;
}
makeRotationFromEuler( euler ) {
const te = this.elements;
const x = euler.x, y = euler.y, z = euler.z;
const a = Math.cos( x ), b = Math.sin( x );
const c = Math.cos( y ), d = Math.sin( y );
const e = Math.cos( z ), f = Math.sin( z );
if ( euler.order === 'XYZ' ) {
const ae = a * e, af = a * f, be = b * e, bf = b * f;
te[ 0 ] = c * e;
te[ 4 ] = - c * f;
te[ 8 ] = d;
te[ 1 ] = af + be * d;
te[ 5 ] = ae - bf * d;
te[ 9 ] = - b * c;
te[ 2 ] = bf - ae * d;
te[ 6 ] = be + af * d;
te[ 10 ] = a * c;
} else if ( euler.order === 'YXZ' ) {
const ce = c * e, cf = c * f, de = d * e, df = d * f;
te[ 0 ] = ce + df * b;
te[ 4 ] = de * b - cf;
te[ 8 ] = a * d;
te[ 1 ] = a * f;
te[ 5 ] = a * e;
te[ 9 ] = - b;
te[ 2 ] = cf * b - de;
te[ 6 ] = df + ce * b;
te[ 10 ] = a * c;
} else if ( euler.order === 'ZXY' ) {
const ce = c * e, cf = c * f, de = d * e, df = d * f;
te[ 0 ] = ce - df * b;
te[ 4 ] = - a * f;
te[ 8 ] = de + cf * b;
te[ 1 ] = cf + de * b;
te[ 5 ] = a * e;
te[ 9 ] = df - ce * b;
te[ 2 ] = - a * d;
te[ 6 ] = b;
te[ 10 ] = a * c;
} else if ( euler.order === 'ZYX' ) {
const ae = a * e, af = a * f, be = b * e, bf = b * f;
te[ 0 ] = c * e;
te[ 4 ] = be * d - af;
te[ 8 ] = ae * d + bf;
te[ 1 ] = c * f;
te[ 5 ] = bf * d + ae;
te[ 9 ] = af * d - be;
te[ 2 ] = - d;
te[ 6 ] = b * c;
te[ 10 ] = a * c;
} else if ( euler.order === 'YZX' ) {
const ac = a * c, ad = a * d, bc = b * c, bd = b * d;
te[ 0 ] = c * e;
te[ 4 ] = bd - ac * f;
te[ 8 ] = bc * f + ad;
te[ 1 ] = f;
te[ 5 ] = a * e;
te[ 9 ] = - b * e;
te[ 2 ] = - d * e;
te[ 6 ] = ad * f + bc;
te[ 10 ] = ac - bd * f;
} else if ( euler.order === 'XZY' ) {
const ac = a * c, ad = a * d, bc = b * c, bd = b * d;
te[ 0 ] = c * e;
te[ 4 ] = - f;
te[ 8 ] = d * e;
te[ 1 ] = ac * f + bd;
te[ 5 ] = a * e;
te[ 9 ] = ad * f - bc;
te[ 2 ] = bc * f - ad;
te[ 6 ] = b * e;
te[ 10 ] = bd * f + ac;
}
// bottom row
te[ 3 ] = 0;
te[ 7 ] = 0;
te[ 11 ] = 0;
// last column
te[ 12 ] = 0;
te[ 13 ] = 0;
te[ 14 ] = 0;
te[ 15 ] = 1;
return this;
}
makeRotationFromQuaternion( q ) {
return this.compose( _zero, q, _one );
}
lookAt( eye, target, up ) {
const te = this.elements;
_z.subVectors( eye, target );
if ( _z.lengthSq() === 0 ) {
// eye and target are in the same position
_z.z = 1;
}
_z.normalize();
_x.crossVectors( up, _z );
if ( _x.lengthSq() === 0 ) {
// up and z are parallel
if ( Math.abs( up.z ) === 1 ) {
_z.x += 0.0001;
} else {
_z.z += 0.0001;
}
_z.normalize();
_x.crossVectors( up, _z );
}
_x.normalize();
_y.crossVectors( _z, _x );
te[ 0 ] = _x.x; te[ 4 ] = _y.x; te[ 8 ] = _z.x;
te[ 1 ] = _x.y; te[ 5 ] = _y.y; te[ 9 ] = _z.y;
te[ 2 ] = _x.z; te[ 6 ] = _y.z; te[ 10 ] = _z.z;
return this;
}
multiply( m ) {
return this.multiplyMatrices( this, m );
}
premultiply( m ) {
return this.multiplyMatrices( m, this );
}
multiplyMatrices( a, b ) {
const ae = a.elements;
const be = b.elements;
const te = this.elements;
const a11 = ae[ 0 ], a12 = ae[ 4 ], a13 = ae[ 8 ], a14 = ae[ 12 ];
const a21 = ae[ 1 ], a22 = ae[ 5 ], a23 = ae[ 9 ], a24 = ae[ 13 ];
const a31 = ae[ 2 ], a32 = ae[ 6 ], a33 = ae[ 10 ], a34 = ae[ 14 ];
const a41 = ae[ 3 ], a42 = ae[ 7 ], a43 = ae[ 11 ], a44 = ae[ 15 ];
const b11 = be[ 0 ], b12 = be[ 4 ], b13 = be[ 8 ], b14 = be[ 12 ];
const b21 = be[ 1 ], b22 = be[ 5 ], b23 = be[ 9 ], b24 = be[ 13 ];
const b31 = be[ 2 ], b32 = be[ 6 ], b33 = be[ 10 ], b34 = be[ 14 ];
const b41 = be[ 3 ], b42 = be[ 7 ], b43 = be[ 11 ], b44 = be[ 15 ];
te[ 0 ] = a11 * b11 + a12 * b21 + a13 * b31 + a14 * b41;
te[ 4 ] = a11 * b12 + a12 * b22 + a13 * b32 + a14 * b42;
te[ 8 ] = a11 * b13 + a12 * b23 + a13 * b33 + a14 * b43;
te[ 12 ] = a11 * b14 + a12 * b24 + a13 * b34 + a14 * b44;
te[ 1 ] = a21 * b11 + a22 * b21 + a23 * b31 + a24 * b41;
te[ 5 ] = a21 * b12 + a22 * b22 + a23 * b32 + a24 * b42;
te[ 9 ] = a21 * b13 + a22 * b23 + a23 * b33 + a24 * b43;
te[ 13 ] = a21 * b14 + a22 * b24 + a23 * b34 + a24 * b44;
te[ 2 ] = a31 * b11 + a32 * b21 + a33 * b31 + a34 * b41;
te[ 6 ] = a31 * b12 + a32 * b22 + a33 * b32 + a34 * b42;
te[ 10 ] = a31 * b13 + a32 * b23 + a33 * b33 + a34 * b43;
te[ 14 ] = a31 * b14 + a32 * b24 + a33 * b34 + a34 * b44;
te[ 3 ] = a41 * b11 + a42 * b21 + a43 * b31 + a44 * b41;
te[ 7 ] = a41 * b12 + a42 * b22 + a43 * b32 + a44 * b42;
te[ 11 ] = a41 * b13 + a42 * b23 + a43 * b33 + a44 * b43;
te[ 15 ] = a41 * b14 + a42 * b24 + a43 * b34 + a44 * b44;
return this;
}
multiplyScalar( s ) {
const te = this.elements;
te[ 0 ] *= s; te[ 4 ] *= s; te[ 8 ] *= s; te[ 12 ] *= s;
te[ 1 ] *= s; te[ 5 ] *= s; te[ 9 ] *= s; te[ 13 ] *= s;
te[ 2 ] *= s; te[ 6 ] *= s; te[ 10 ] *= s; te[ 14 ] *= s;
te[ 3 ] *= s; te[ 7 ] *= s; te[ 11 ] *= s; te[ 15 ] *= s;
return this;
}
determinant() {
const te = this.elements;
const n11 = te[ 0 ], n12 = te[ 4 ], n13 = te[ 8 ], n14 = te[ 12 ];
const n21 = te[ 1 ], n22 = te[ 5 ], n23 = te[ 9 ], n24 = te[ 13 ];
const n31 = te[ 2 ], n32 = te[ 6 ], n33 = te[ 10 ], n34 = te[ 14 ];
const n41 = te[ 3 ], n42 = te[ 7 ], n43 = te[ 11 ], n44 = te[ 15 ];
//TODO: make this more efficient
//( based on http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm )
return (
n41 * (
+ n14 * n23 * n32
- n13 * n24 * n32
- n14 * n22 * n33
+ n12 * n24 * n33
+ n13 * n22 * n34
- n12 * n23 * n34
) +
n42 * (
+ n11 * n23 * n34
- n11 * n24 * n33
+ n14 * n21 * n33
- n13 * n21 * n34
+ n13 * n24 * n31
- n14 * n23 * n31
) +
n43 * (
+ n11 * n24 * n32
- n11 * n22 * n34
- n14 * n21 * n32
+ n12 * n21 * n34
+ n14 * n22 * n31
- n12 * n24 * n31
) +
n44 * (
- n13 * n22 * n31
- n11 * n23 * n32
+ n11 * n22 * n33
+ n13 * n21 * n32
- n12 * n21 * n33
+ n12 * n23 * n31
)
);
}
transpose() {
const te = this.elements;
let tmp;
tmp = te[ 1 ]; te[ 1 ] = te[ 4 ]; te[ 4 ] = tmp;
tmp = te[ 2 ]; te[ 2 ] = te[ 8 ]; te[ 8 ] = tmp;
tmp = te[ 6 ]; te[ 6 ] = te[ 9 ]; te[ 9 ] = tmp;
tmp = te[ 3 ]; te[ 3 ] = te[ 12 ]; te[ 12 ] = tmp;
tmp = te[ 7 ]; te[ 7 ] = te[ 13 ]; te[ 13 ] = tmp;
tmp = te[ 11 ]; te[ 11 ] = te[ 14 ]; te[ 14 ] = tmp;
return this;
}
setPosition( x, y, z ) {
const te = this.elements;
if ( x.isVector3 ) {
te[ 12 ] = x.x;
te[ 13 ] = x.y;
te[ 14 ] = x.z;
} else {
te[ 12 ] = x;
te[ 13 ] = y;
te[ 14 ] = z;
}
return this;
}
invert() {
// based on http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm
const te = this.elements,
n11 = te[ 0 ], n21 = te[ 1 ], n31 = te[ 2 ], n41 = te[ 3 ],
n12 = te[ 4 ], n22 = te[ 5 ], n32 = te[ 6 ], n42 = te[ 7 ],
n13 = te[ 8 ], n23 = te[ 9 ], n33 = te[ 10 ], n43 = te[ 11 ],
n14 = te[ 12 ], n24 = te[ 13 ], n34 = te[ 14 ], n44 = te[ 15 ],
t11 = n23 * n34 * n42 - n24 * n33 * n42 + n24 * n32 * n43 - n22 * n34 * n43 - n23 * n32 * n44 + n22 * n33 * n44,
t12 = n14 * n33 * n42 - n13 * n34 * n42 - n14 * n32 * n43 + n12 * n34 * n43 + n13 * n32 * n44 - n12 * n33 * n44,
t13 = n13 * n24 * n42 - n14 * n23 * n42 + n14 * n22 * n43 - n12 * n24 * n43 - n13 * n22 * n44 + n12 * n23 * n44,
t14 = n14 * n23 * n32 - n13 * n24 * n32 - n14 * n22 * n33 + n12 * n24 * n33 + n13 * n22 * n34 - n12 * n23 * n34;
const det = n11 * t11 + n21 * t12 + n31 * t13 + n41 * t14;
if ( det === 0 ) return this.set( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 );
const detInv = 1 / det;
te[ 0 ] = t11 * detInv;
te[ 1 ] = ( n24 * n33 * n41 - n23 * n34 * n41 - n24 * n31 * n43 + n21 * n34 * n43 + n23 * n31 * n44 - n21 * n33 * n44 ) * detInv;
te[ 2 ] = ( n22 * n34 * n41 - n24 * n32 * n41 + n24 * n31 * n42 - n21 * n34 * n42 - n22 * n31 * n44 + n21 * n32 * n44 ) * detInv;
te[ 3 ] = ( n23 * n32 * n41 - n22 * n33 * n41 - n23 * n31 * n42 + n21 * n33 * n42 + n22 * n31 * n43 - n21 * n32 * n43 ) * detInv;
te[ 4 ] = t12 * detInv;
te[ 5 ] = ( n13 * n34 * n41 - n14 * n33 * n41 + n14 * n31 * n43 - n11 * n34 * n43 - n13 * n31 * n44 + n11 * n33 * n44 ) * detInv;
te[ 6 ] = ( n14 * n32 * n41 - n12 * n34 * n41 - n14 * n31 * n42 + n11 * n34 * n42 + n12 * n31 * n44 - n11 * n32 * n44 ) * detInv;
te[ 7 ] = ( n12 * n33 * n41 - n13 * n32 * n41 + n13 * n31 * n42 - n11 * n33 * n42 - n12 * n31 * n43 + n11 * n32 * n43 ) * detInv;
te[ 8 ] = t13 * detInv;
te[ 9 ] = ( n14 * n23 * n41 - n13 * n24 * n41 - n14 * n21 * n43 + n11 * n24 * n43 + n13 * n21 * n44 - n11 * n23 * n44 ) * detInv;
te[ 10 ] = ( n12 * n24 * n41 - n14 * n22 * n41 + n14 * n21 * n42 - n11 * n24 * n42 - n12 * n21 * n44 + n11 * n22 * n44 ) * detInv;
te[ 11 ] = ( n13 * n22 * n41 - n12 * n23 * n41 - n13 * n21 * n42 + n11 * n23 * n42 + n12 * n21 * n43 - n11 * n22 * n43 ) * detInv;
te[ 12 ] = t14 * detInv;
te[ 13 ] = ( n13 * n24 * n31 - n14 * n23 * n31 + n14 * n21 * n33 - n11 * n24 * n33 - n13 * n21 * n34 + n11 * n23 * n34 ) * detInv;
te[ 14 ] = ( n14 * n22 * n31 - n12 * n24 * n31 - n14 * n21 * n32 + n11 * n24 * n32 + n12 * n21 * n34 - n11 * n22 * n34 ) * detInv;
te[ 15 ] = ( n12 * n23 * n31 - n13 * n22 * n31 + n13 * n21 * n32 - n11 * n23 * n32 - n12 * n21 * n33 + n11 * n22 * n33 ) * detInv;
return this;
}
scale( v ) {
const te = this.elements;
const x = v.x, y = v.y, z = v.z;
te[ 0 ] *= x; te[ 4 ] *= y; te[ 8 ] *= z;
te[ 1 ] *= x; te[ 5 ] *= y; te[ 9 ] *= z;
te[ 2 ] *= x; te[ 6 ] *= y; te[ 10 ] *= z;
te[ 3 ] *= x; te[ 7 ] *= y; te[ 11 ] *= z;
return this;
}
getMaxScaleOnAxis() {
const te = this.elements;
const scaleXSq = te[ 0 ] * te[ 0 ] + te[ 1 ] * te[ 1 ] + te[ 2 ] * te[ 2 ];
const scaleYSq = te[ 4 ] * te[ 4 ] + te[ 5 ] * te[ 5 ] + te[ 6 ] * te[ 6 ];
const scaleZSq = te[ 8 ] * te[ 8 ] + te[ 9 ] * te[ 9 ] + te[ 10 ] * te[ 10 ];
return Math.sqrt( Math.max( scaleXSq, scaleYSq, scaleZSq ) );
}
makeTranslation( x, y, z ) {
if ( x.isVector3 ) {
this.set(
1, 0, 0, x.x,
0, 1, 0, x.y,
0, 0, 1, x.z,
0, 0, 0, 1
);
} else {
this.set(
1, 0, 0, x,
0, 1, 0, y,
0, 0, 1, z,
0, 0, 0, 1
);
}
return this;
}
makeRotationX( theta ) {
const c = Math.cos( theta ), s = Math.sin( theta );
this.set(
1, 0, 0, 0,
0, c, - s, 0,
0, s, c, 0,
0, 0, 0, 1
);
return this;
}
makeRotationY( theta ) {
const c = Math.cos( theta ), s = Math.sin( theta );
this.set(
c, 0, s, 0,
0, 1, 0, 0,
- s, 0, c, 0,
0, 0, 0, 1
);
return this;
}
makeRotationZ( theta ) {
const c = Math.cos( theta ), s = Math.sin( theta );
this.set(
c, - s, 0, 0,
s, c, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
);
return this;
}
makeRotationAxis( axis, angle ) {
// Based on http://www.gamedev.net/reference/articles/article1199.asp
const c = Math.cos( angle );
const s = Math.sin( angle );
const t = 1 - c;
const x = axis.x, y = axis.y, z = axis.z;
const tx = t * x, ty = t * y;
this.set(
tx * x + c, tx * y - s * z, tx * z + s * y, 0,
tx * y + s * z, ty * y + c, ty * z - s * x, 0,
tx * z - s * y, ty * z + s * x, t * z * z + c, 0,
0, 0, 0, 1
);
return this;
}
makeScale( x, y, z ) {
this.set(
x, 0, 0, 0,
0, y, 0, 0,
0, 0, z, 0,
0, 0, 0, 1
);
return this;
}
makeShear( xy, xz, yx, yz, zx, zy ) {
this.set(
1, yx, zx, 0,
xy, 1, zy, 0,
xz, yz, 1, 0,
0, 0, 0, 1
);
return this;
}
compose( position, quaternion, scale ) {
const te = this.elements;
const x = quaternion._x, y = quaternion._y, z = quaternion._z, w = quaternion._w;
const x2 = x + x, y2 = y + y, z2 = z + z;
const xx = x * x2, xy = x * y2, xz = x * z2;
const yy = y * y2, yz = y * z2, zz = z * z2;
const wx = w * x2, wy = w * y2, wz = w * z2;
const sx = scale.x, sy = scale.y, sz = scale.z;
te[ 0 ] = ( 1 - ( yy + zz ) ) * sx;
te[ 1 ] = ( xy + wz ) * sx;
te[ 2 ] = ( xz - wy ) * sx;
te[ 3 ] = 0;
te[ 4 ] = ( xy - wz ) * sy;
te[ 5 ] = ( 1 - ( xx + zz ) ) * sy;
te[ 6 ] = ( yz + wx ) * sy;
te[ 7 ] = 0;
te[ 8 ] = ( xz + wy ) * sz;
te[ 9 ] = ( yz - wx ) * sz;
te[ 10 ] = ( 1 - ( xx + yy ) ) * sz;
te[ 11 ] = 0;
te[ 12 ] = position.x;
te[ 13 ] = position.y;
te[ 14 ] = position.z;
te[ 15 ] = 1;
return this;
}
decompose( position, quaternion, scale ) {
const te = this.elements;
let sx = _v1.set( te[ 0 ], te[ 1 ], te[ 2 ] ).length();
const sy = _v1.set( te[ 4 ], te[ 5 ], te[ 6 ] ).length();
const sz = _v1.set( te[ 8 ], te[ 9 ], te[ 10 ] ).length();
// if determine is negative, we need to invert one scale
const det = this.determinant();
if ( det < 0 ) sx = - sx;
position.x = te[ 12 ];
position.y = te[ 13 ];
position.z = te[ 14 ];
// scale the rotation part
_m1.copy( this );
const invSX = 1 / sx;
const invSY = 1 / sy;
const invSZ = 1 / sz;
_m1.elements[ 0 ] *= invSX;
_m1.elements[ 1 ] *= invSX;
_m1.elements[ 2 ] *= invSX;
_m1.elements[ 4 ] *= invSY;
_m1.elements[ 5 ] *= invSY;
_m1.elements[ 6 ] *= invSY;
_m1.elements[ 8 ] *= invSZ;
_m1.elements[ 9 ] *= invSZ;
_m1.elements[ 10 ] *= invSZ;
quaternion.setFromRotationMatrix( _m1 );
scale.x = sx;
scale.y = sy;
scale.z = sz;
return this;
}
makePerspective( left, right, top, bottom, near, far, coordinateSystem = WebGLCoordinateSystem ) {
const te = this.elements;
const x = 2 * near / ( right - left );
const y = 2 * near / ( top - bottom );
const a = ( right + left ) / ( right - left );
const b = ( top + bottom ) / ( top - bottom );
let c, d;
if ( coordinateSystem === WebGLCoordinateSystem ) {
c = - ( far + near ) / ( far - near );
d = ( - 2 * far * near ) / ( far - near );
} else if ( coordinateSystem === WebGPUCoordinateSystem ) {
c = - far / ( far - near );
d = ( - far * near ) / ( far - near );
} else {
throw new Error( 'THREE.Matrix4.makePerspective(): Invalid coordinate system: ' + coordinateSystem );
}
te[ 0 ] = x; te[ 4 ] = 0; te[ 8 ] = a; te[ 12 ] = 0;
te[ 1 ] = 0; te[ 5 ] = y; te[ 9 ] = b; te[ 13 ] = 0;
te[ 2 ] = 0; te[ 6 ] = 0; te[ 10 ] = c; te[ 14 ] = d;
te[ 3 ] = 0; te[ 7 ] = 0; te[ 11 ] = - 1; te[ 15 ] = 0;
return this;
}
makeOrthographic( left, right, top, bottom, near, far, coordinateSystem = WebGLCoordinateSystem ) {
const te = this.elements;
const w = 1.0 / ( right - left );
const h = 1.0 / ( top - bottom );
const p = 1.0 / ( far - near );
const x = ( right + left ) * w;
const y = ( top + bottom ) * h;
let z, zInv;
if ( coordinateSystem === WebGLCoordinateSystem ) {
z = ( far + near ) * p;
zInv = - 2 * p;
} else if ( coordinateSystem === WebGPUCoordinateSystem ) {
z = near * p;
zInv = - 1 * p;
} else {
throw new Error( 'THREE.Matrix4.makeOrthographic(): Invalid coordinate system: ' + coordinateSystem );
}
te[ 0 ] = 2 * w; te[ 4 ] = 0; te[ 8 ] = 0; te[ 12 ] = - x;
te[ 1 ] = 0; te[ 5 ] = 2 * h; te[ 9 ] = 0; te[ 13 ] = - y;
te[ 2 ] = 0; te[ 6 ] = 0; te[ 10 ] = zInv; te[ 14 ] = - z;
te[ 3 ] = 0; te[ 7 ] = 0; te[ 11 ] = 0; te[ 15 ] = 1;
return this;
}
equals( matrix ) {
const te = this.elements;
const me = matrix.elements;
for ( let i = 0; i < 16; i ++ ) {
if ( te[ i ] !== me[ i ] ) return false;
}
return true;
}
fromArray( array, offset = 0 ) {
for ( let i = 0; i < 16; i ++ ) {
this.elements[ i ] = array[ i + offset ];
}
return this;
}
toArray( array = [], offset = 0 ) {
const te = this.elements;
array[ offset ] = te[ 0 ];
array[ offset + 1 ] = te[ 1 ];
array[ offset + 2 ] = te[ 2 ];
array[ offset + 3 ] = te[ 3 ];
array[ offset + 4 ] = te[ 4 ];
array[ offset + 5 ] = te[ 5 ];
array[ offset + 6 ] = te[ 6 ];
array[ offset + 7 ] = te[ 7 ];
array[ offset + 8 ] = te[ 8 ];
array[ offset + 9 ] = te[ 9 ];
array[ offset + 10 ] = te[ 10 ];
array[ offset + 11 ] = te[ 11 ];
array[ offset + 12 ] = te[ 12 ];
array[ offset + 13 ] = te[ 13 ];
array[ offset + 14 ] = te[ 14 ];
array[ offset + 15 ] = te[ 15 ];
return array;
}
}
const _v1 = /*@__PURE__*/ new Vector3();
const _m1 = /*@__PURE__*/ new Matrix4();
const _zero = /*@__PURE__*/ new Vector3( 0, 0, 0 );
const _one = /*@__PURE__*/ new Vector3( 1, 1, 1 );
const _x = /*@__PURE__*/ new Vector3();
const _y = /*@__PURE__*/ new Vector3();
const _z = /*@__PURE__*/ new Vector3();
export { Matrix4 };

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import { Matrix3 } from './Matrix3.js';
import { Vector3 } from './Vector3.js';
const _vector1 = /*@__PURE__*/ new Vector3();
const _vector2 = /*@__PURE__*/ new Vector3();
const _normalMatrix = /*@__PURE__*/ new Matrix3();
class Plane {
constructor( normal = new Vector3( 1, 0, 0 ), constant = 0 ) {
this.isPlane = true;
// normal is assumed to be normalized
this.normal = normal;
this.constant = constant;
}
set( normal, constant ) {
this.normal.copy( normal );
this.constant = constant;
return this;
}
setComponents( x, y, z, w ) {
this.normal.set( x, y, z );
this.constant = w;
return this;
}
setFromNormalAndCoplanarPoint( normal, point ) {
this.normal.copy( normal );
this.constant = - point.dot( this.normal );
return this;
}
setFromCoplanarPoints( a, b, c ) {
const normal = _vector1.subVectors( c, b ).cross( _vector2.subVectors( a, b ) ).normalize();
// Q: should an error be thrown if normal is zero (e.g. degenerate plane)?
this.setFromNormalAndCoplanarPoint( normal, a );
return this;
}
copy( plane ) {
this.normal.copy( plane.normal );
this.constant = plane.constant;
return this;
}
normalize() {
// Note: will lead to a divide by zero if the plane is invalid.
const inverseNormalLength = 1.0 / this.normal.length();
this.normal.multiplyScalar( inverseNormalLength );
this.constant *= inverseNormalLength;
return this;
}
negate() {
this.constant *= - 1;
this.normal.negate();
return this;
}
distanceToPoint( point ) {
return this.normal.dot( point ) + this.constant;
}
distanceToSphere( sphere ) {
return this.distanceToPoint( sphere.center ) - sphere.radius;
}
projectPoint( point, target ) {
return target.copy( point ).addScaledVector( this.normal, - this.distanceToPoint( point ) );
}
intersectLine( line, target ) {
const direction = line.delta( _vector1 );
const denominator = this.normal.dot( direction );
if ( denominator === 0 ) {
// line is coplanar, return origin
if ( this.distanceToPoint( line.start ) === 0 ) {
return target.copy( line.start );
}
// Unsure if this is the correct method to handle this case.
return null;
}
const t = - ( line.start.dot( this.normal ) + this.constant ) / denominator;
if ( t < 0 || t > 1 ) {
return null;
}
return target.copy( line.start ).addScaledVector( direction, t );
}
intersectsLine( line ) {
// Note: this tests if a line intersects the plane, not whether it (or its end-points) are coplanar with it.
const startSign = this.distanceToPoint( line.start );
const endSign = this.distanceToPoint( line.end );
return ( startSign < 0 && endSign > 0 ) || ( endSign < 0 && startSign > 0 );
}
intersectsBox( box ) {
return box.intersectsPlane( this );
}
intersectsSphere( sphere ) {
return sphere.intersectsPlane( this );
}
coplanarPoint( target ) {
return target.copy( this.normal ).multiplyScalar( - this.constant );
}
applyMatrix4( matrix, optionalNormalMatrix ) {
const normalMatrix = optionalNormalMatrix || _normalMatrix.getNormalMatrix( matrix );
const referencePoint = this.coplanarPoint( _vector1 ).applyMatrix4( matrix );
const normal = this.normal.applyMatrix3( normalMatrix ).normalize();
this.constant = - referencePoint.dot( normal );
return this;
}
translate( offset ) {
this.constant -= offset.dot( this.normal );
return this;
}
equals( plane ) {
return plane.normal.equals( this.normal ) && ( plane.constant === this.constant );
}
clone() {
return new this.constructor().copy( this );
}
}
export { Plane };

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import * as MathUtils from './MathUtils.js';
class Quaternion {
constructor( x = 0, y = 0, z = 0, w = 1 ) {
this.isQuaternion = true;
this._x = x;
this._y = y;
this._z = z;
this._w = w;
}
static slerpFlat( dst, dstOffset, src0, srcOffset0, src1, srcOffset1, t ) {
// fuzz-free, array-based Quaternion SLERP operation
let x0 = src0[ srcOffset0 + 0 ],
y0 = src0[ srcOffset0 + 1 ],
z0 = src0[ srcOffset0 + 2 ],
w0 = src0[ srcOffset0 + 3 ];
const x1 = src1[ srcOffset1 + 0 ],
y1 = src1[ srcOffset1 + 1 ],
z1 = src1[ srcOffset1 + 2 ],
w1 = src1[ srcOffset1 + 3 ];
if ( t === 0 ) {
dst[ dstOffset + 0 ] = x0;
dst[ dstOffset + 1 ] = y0;
dst[ dstOffset + 2 ] = z0;
dst[ dstOffset + 3 ] = w0;
return;
}
if ( t === 1 ) {
dst[ dstOffset + 0 ] = x1;
dst[ dstOffset + 1 ] = y1;
dst[ dstOffset + 2 ] = z1;
dst[ dstOffset + 3 ] = w1;
return;
}
if ( w0 !== w1 || x0 !== x1 || y0 !== y1 || z0 !== z1 ) {
let s = 1 - t;
const cos = x0 * x1 + y0 * y1 + z0 * z1 + w0 * w1,
dir = ( cos >= 0 ? 1 : - 1 ),
sqrSin = 1 - cos * cos;
// Skip the Slerp for tiny steps to avoid numeric problems:
if ( sqrSin > Number.EPSILON ) {
const sin = Math.sqrt( sqrSin ),
len = Math.atan2( sin, cos * dir );
s = Math.sin( s * len ) / sin;
t = Math.sin( t * len ) / sin;
}
const tDir = t * dir;
x0 = x0 * s + x1 * tDir;
y0 = y0 * s + y1 * tDir;
z0 = z0 * s + z1 * tDir;
w0 = w0 * s + w1 * tDir;
// Normalize in case we just did a lerp:
if ( s === 1 - t ) {
const f = 1 / Math.sqrt( x0 * x0 + y0 * y0 + z0 * z0 + w0 * w0 );
x0 *= f;
y0 *= f;
z0 *= f;
w0 *= f;
}
}
dst[ dstOffset ] = x0;
dst[ dstOffset + 1 ] = y0;
dst[ dstOffset + 2 ] = z0;
dst[ dstOffset + 3 ] = w0;
}
static multiplyQuaternionsFlat( dst, dstOffset, src0, srcOffset0, src1, srcOffset1 ) {
const x0 = src0[ srcOffset0 ];
const y0 = src0[ srcOffset0 + 1 ];
const z0 = src0[ srcOffset0 + 2 ];
const w0 = src0[ srcOffset0 + 3 ];
const x1 = src1[ srcOffset1 ];
const y1 = src1[ srcOffset1 + 1 ];
const z1 = src1[ srcOffset1 + 2 ];
const w1 = src1[ srcOffset1 + 3 ];
dst[ dstOffset ] = x0 * w1 + w0 * x1 + y0 * z1 - z0 * y1;
dst[ dstOffset + 1 ] = y0 * w1 + w0 * y1 + z0 * x1 - x0 * z1;
dst[ dstOffset + 2 ] = z0 * w1 + w0 * z1 + x0 * y1 - y0 * x1;
dst[ dstOffset + 3 ] = w0 * w1 - x0 * x1 - y0 * y1 - z0 * z1;
return dst;
}
get x() {
return this._x;
}
set x( value ) {
this._x = value;
this._onChangeCallback();
}
get y() {
return this._y;
}
set y( value ) {
this._y = value;
this._onChangeCallback();
}
get z() {
return this._z;
}
set z( value ) {
this._z = value;
this._onChangeCallback();
}
get w() {
return this._w;
}
set w( value ) {
this._w = value;
this._onChangeCallback();
}
set( x, y, z, w ) {
this._x = x;
this._y = y;
this._z = z;
this._w = w;
this._onChangeCallback();
return this;
}
clone() {
return new this.constructor( this._x, this._y, this._z, this._w );
}
copy( quaternion ) {
this._x = quaternion.x;
this._y = quaternion.y;
this._z = quaternion.z;
this._w = quaternion.w;
this._onChangeCallback();
return this;
}
setFromEuler( euler, update = true ) {
const x = euler._x, y = euler._y, z = euler._z, order = euler._order;
// http://www.mathworks.com/matlabcentral/fileexchange/
// 20696-function-to-convert-between-dcm-euler-angles-quaternions-and-euler-vectors/
// content/SpinCalc.m
const cos = Math.cos;
const sin = Math.sin;
const c1 = cos( x / 2 );
const c2 = cos( y / 2 );
const c3 = cos( z / 2 );
const s1 = sin( x / 2 );
const s2 = sin( y / 2 );
const s3 = sin( z / 2 );
switch ( order ) {
case 'XYZ':
this._x = s1 * c2 * c3 + c1 * s2 * s3;
this._y = c1 * s2 * c3 - s1 * c2 * s3;
this._z = c1 * c2 * s3 + s1 * s2 * c3;
this._w = c1 * c2 * c3 - s1 * s2 * s3;
break;
case 'YXZ':
this._x = s1 * c2 * c3 + c1 * s2 * s3;
this._y = c1 * s2 * c3 - s1 * c2 * s3;
this._z = c1 * c2 * s3 - s1 * s2 * c3;
this._w = c1 * c2 * c3 + s1 * s2 * s3;
break;
case 'ZXY':
this._x = s1 * c2 * c3 - c1 * s2 * s3;
this._y = c1 * s2 * c3 + s1 * c2 * s3;
this._z = c1 * c2 * s3 + s1 * s2 * c3;
this._w = c1 * c2 * c3 - s1 * s2 * s3;
break;
case 'ZYX':
this._x = s1 * c2 * c3 - c1 * s2 * s3;
this._y = c1 * s2 * c3 + s1 * c2 * s3;
this._z = c1 * c2 * s3 - s1 * s2 * c3;
this._w = c1 * c2 * c3 + s1 * s2 * s3;
break;
case 'YZX':
this._x = s1 * c2 * c3 + c1 * s2 * s3;
this._y = c1 * s2 * c3 + s1 * c2 * s3;
this._z = c1 * c2 * s3 - s1 * s2 * c3;
this._w = c1 * c2 * c3 - s1 * s2 * s3;
break;
case 'XZY':
this._x = s1 * c2 * c3 - c1 * s2 * s3;
this._y = c1 * s2 * c3 - s1 * c2 * s3;
this._z = c1 * c2 * s3 + s1 * s2 * c3;
this._w = c1 * c2 * c3 + s1 * s2 * s3;
break;
default:
console.warn( 'THREE.Quaternion: .setFromEuler() encountered an unknown order: ' + order );
}
if ( update === true ) this._onChangeCallback();
return this;
}
setFromAxisAngle( axis, angle ) {
// http://www.euclideanspace.com/maths/geometry/rotations/conversions/angleToQuaternion/index.htm
// assumes axis is normalized
const halfAngle = angle / 2, s = Math.sin( halfAngle );
this._x = axis.x * s;
this._y = axis.y * s;
this._z = axis.z * s;
this._w = Math.cos( halfAngle );
this._onChangeCallback();
return this;
}
setFromRotationMatrix( m ) {
// http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm
// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
const te = m.elements,
m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ],
m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ],
m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ],
trace = m11 + m22 + m33;
if ( trace > 0 ) {
const s = 0.5 / Math.sqrt( trace + 1.0 );
this._w = 0.25 / s;
this._x = ( m32 - m23 ) * s;
this._y = ( m13 - m31 ) * s;
this._z = ( m21 - m12 ) * s;
} else if ( m11 > m22 && m11 > m33 ) {
const s = 2.0 * Math.sqrt( 1.0 + m11 - m22 - m33 );
this._w = ( m32 - m23 ) / s;
this._x = 0.25 * s;
this._y = ( m12 + m21 ) / s;
this._z = ( m13 + m31 ) / s;
} else if ( m22 > m33 ) {
const s = 2.0 * Math.sqrt( 1.0 + m22 - m11 - m33 );
this._w = ( m13 - m31 ) / s;
this._x = ( m12 + m21 ) / s;
this._y = 0.25 * s;
this._z = ( m23 + m32 ) / s;
} else {
const s = 2.0 * Math.sqrt( 1.0 + m33 - m11 - m22 );
this._w = ( m21 - m12 ) / s;
this._x = ( m13 + m31 ) / s;
this._y = ( m23 + m32 ) / s;
this._z = 0.25 * s;
}
this._onChangeCallback();
return this;
}
setFromUnitVectors( vFrom, vTo ) {
// assumes direction vectors vFrom and vTo are normalized
let r = vFrom.dot( vTo ) + 1;
if ( r < Number.EPSILON ) {
// vFrom and vTo point in opposite directions
r = 0;
if ( Math.abs( vFrom.x ) > Math.abs( vFrom.z ) ) {
this._x = - vFrom.y;
this._y = vFrom.x;
this._z = 0;
this._w = r;
} else {
this._x = 0;
this._y = - vFrom.z;
this._z = vFrom.y;
this._w = r;
}
} else {
// crossVectors( vFrom, vTo ); // inlined to avoid cyclic dependency on Vector3
this._x = vFrom.y * vTo.z - vFrom.z * vTo.y;
this._y = vFrom.z * vTo.x - vFrom.x * vTo.z;
this._z = vFrom.x * vTo.y - vFrom.y * vTo.x;
this._w = r;
}
return this.normalize();
}
angleTo( q ) {
return 2 * Math.acos( Math.abs( MathUtils.clamp( this.dot( q ), - 1, 1 ) ) );
}
rotateTowards( q, step ) {
const angle = this.angleTo( q );
if ( angle === 0 ) return this;
const t = Math.min( 1, step / angle );
this.slerp( q, t );
return this;
}
identity() {
return this.set( 0, 0, 0, 1 );
}
invert() {
// quaternion is assumed to have unit length
return this.conjugate();
}
conjugate() {
this._x *= - 1;
this._y *= - 1;
this._z *= - 1;
this._onChangeCallback();
return this;
}
dot( v ) {
return this._x * v._x + this._y * v._y + this._z * v._z + this._w * v._w;
}
lengthSq() {
return this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w;
}
length() {
return Math.sqrt( this._x * this._x + this._y * this._y + this._z * this._z + this._w * this._w );
}
normalize() {
let l = this.length();
if ( l === 0 ) {
this._x = 0;
this._y = 0;
this._z = 0;
this._w = 1;
} else {
l = 1 / l;
this._x = this._x * l;
this._y = this._y * l;
this._z = this._z * l;
this._w = this._w * l;
}
this._onChangeCallback();
return this;
}
multiply( q ) {
return this.multiplyQuaternions( this, q );
}
premultiply( q ) {
return this.multiplyQuaternions( q, this );
}
multiplyQuaternions( a, b ) {
// from http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/code/index.htm
const qax = a._x, qay = a._y, qaz = a._z, qaw = a._w;
const qbx = b._x, qby = b._y, qbz = b._z, qbw = b._w;
this._x = qax * qbw + qaw * qbx + qay * qbz - qaz * qby;
this._y = qay * qbw + qaw * qby + qaz * qbx - qax * qbz;
this._z = qaz * qbw + qaw * qbz + qax * qby - qay * qbx;
this._w = qaw * qbw - qax * qbx - qay * qby - qaz * qbz;
this._onChangeCallback();
return this;
}
slerp( qb, t ) {
if ( t === 0 ) return this;
if ( t === 1 ) return this.copy( qb );
const x = this._x, y = this._y, z = this._z, w = this._w;
// http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/slerp/
let cosHalfTheta = w * qb._w + x * qb._x + y * qb._y + z * qb._z;
if ( cosHalfTheta < 0 ) {
this._w = - qb._w;
this._x = - qb._x;
this._y = - qb._y;
this._z = - qb._z;
cosHalfTheta = - cosHalfTheta;
} else {
this.copy( qb );
}
if ( cosHalfTheta >= 1.0 ) {
this._w = w;
this._x = x;
this._y = y;
this._z = z;
return this;
}
const sqrSinHalfTheta = 1.0 - cosHalfTheta * cosHalfTheta;
if ( sqrSinHalfTheta <= Number.EPSILON ) {
const s = 1 - t;
this._w = s * w + t * this._w;
this._x = s * x + t * this._x;
this._y = s * y + t * this._y;
this._z = s * z + t * this._z;
this.normalize(); // normalize calls _onChangeCallback()
return this;
}
const sinHalfTheta = Math.sqrt( sqrSinHalfTheta );
const halfTheta = Math.atan2( sinHalfTheta, cosHalfTheta );
const ratioA = Math.sin( ( 1 - t ) * halfTheta ) / sinHalfTheta,
ratioB = Math.sin( t * halfTheta ) / sinHalfTheta;
this._w = ( w * ratioA + this._w * ratioB );
this._x = ( x * ratioA + this._x * ratioB );
this._y = ( y * ratioA + this._y * ratioB );
this._z = ( z * ratioA + this._z * ratioB );
this._onChangeCallback();
return this;
}
slerpQuaternions( qa, qb, t ) {
return this.copy( qa ).slerp( qb, t );
}
random() {
// sets this quaternion to a uniform random unit quaternnion
// Ken Shoemake
// Uniform random rotations
// D. Kirk, editor, Graphics Gems III, pages 124-132. Academic Press, New York, 1992.
const theta1 = 2 * Math.PI * Math.random();
const theta2 = 2 * Math.PI * Math.random();
const x0 = Math.random();
const r1 = Math.sqrt( 1 - x0 );
const r2 = Math.sqrt( x0 );
return this.set(
r1 * Math.sin( theta1 ),
r1 * Math.cos( theta1 ),
r2 * Math.sin( theta2 ),
r2 * Math.cos( theta2 ),
);
}
equals( quaternion ) {
return ( quaternion._x === this._x ) && ( quaternion._y === this._y ) && ( quaternion._z === this._z ) && ( quaternion._w === this._w );
}
fromArray( array, offset = 0 ) {
this._x = array[ offset ];
this._y = array[ offset + 1 ];
this._z = array[ offset + 2 ];
this._w = array[ offset + 3 ];
this._onChangeCallback();
return this;
}
toArray( array = [], offset = 0 ) {
array[ offset ] = this._x;
array[ offset + 1 ] = this._y;
array[ offset + 2 ] = this._z;
array[ offset + 3 ] = this._w;
return array;
}
fromBufferAttribute( attribute, index ) {
this._x = attribute.getX( index );
this._y = attribute.getY( index );
this._z = attribute.getZ( index );
this._w = attribute.getW( index );
this._onChangeCallback();
return this;
}
toJSON() {
return this.toArray();
}
_onChange( callback ) {
this._onChangeCallback = callback;
return this;
}
_onChangeCallback() {}
*[ Symbol.iterator ]() {
yield this._x;
yield this._y;
yield this._z;
yield this._w;
}
}
export { Quaternion };

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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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import { Box3 } from './Box3.js';
import { Vector3 } from './Vector3.js';
const _box = /*@__PURE__*/ new Box3();
const _v1 = /*@__PURE__*/ new Vector3();
const _v2 = /*@__PURE__*/ new Vector3();
class Sphere {
constructor( center = new Vector3(), radius = - 1 ) {
this.isSphere = true;
this.center = center;
this.radius = radius;
}
set( center, radius ) {
this.center.copy( center );
this.radius = radius;
return this;
}
setFromPoints( points, optionalCenter ) {
const center = this.center;
if ( optionalCenter !== undefined ) {
center.copy( optionalCenter );
} else {
_box.setFromPoints( points ).getCenter( center );
}
let maxRadiusSq = 0;
for ( let i = 0, il = points.length; i < il; i ++ ) {
maxRadiusSq = Math.max( maxRadiusSq, center.distanceToSquared( points[ i ] ) );
}
this.radius = Math.sqrt( maxRadiusSq );
return this;
}
copy( sphere ) {
this.center.copy( sphere.center );
this.radius = sphere.radius;
return this;
}
isEmpty() {
return ( this.radius < 0 );
}
makeEmpty() {
this.center.set( 0, 0, 0 );
this.radius = - 1;
return this;
}
containsPoint( point ) {
return ( point.distanceToSquared( this.center ) <= ( this.radius * this.radius ) );
}
distanceToPoint( point ) {
return ( point.distanceTo( this.center ) - this.radius );
}
intersectsSphere( sphere ) {
const radiusSum = this.radius + sphere.radius;
return sphere.center.distanceToSquared( this.center ) <= ( radiusSum * radiusSum );
}
intersectsBox( box ) {
return box.intersectsSphere( this );
}
intersectsPlane( plane ) {
return Math.abs( plane.distanceToPoint( this.center ) ) <= this.radius;
}
clampPoint( point, target ) {
const deltaLengthSq = this.center.distanceToSquared( point );
target.copy( point );
if ( deltaLengthSq > ( this.radius * this.radius ) ) {
target.sub( this.center ).normalize();
target.multiplyScalar( this.radius ).add( this.center );
}
return target;
}
getBoundingBox( target ) {
if ( this.isEmpty() ) {
// Empty sphere produces empty bounding box
target.makeEmpty();
return target;
}
target.set( this.center, this.center );
target.expandByScalar( this.radius );
return target;
}
applyMatrix4( matrix ) {
this.center.applyMatrix4( matrix );
this.radius = this.radius * matrix.getMaxScaleOnAxis();
return this;
}
translate( offset ) {
this.center.add( offset );
return this;
}
expandByPoint( point ) {
if ( this.isEmpty() ) {
this.center.copy( point );
this.radius = 0;
return this;
}
_v1.subVectors( point, this.center );
const lengthSq = _v1.lengthSq();
if ( lengthSq > ( this.radius * this.radius ) ) {
// calculate the minimal sphere
const length = Math.sqrt( lengthSq );
const delta = ( length - this.radius ) * 0.5;
this.center.addScaledVector( _v1, delta / length );
this.radius += delta;
}
return this;
}
union( sphere ) {
if ( sphere.isEmpty() ) {
return this;
}
if ( this.isEmpty() ) {
this.copy( sphere );
return this;
}
if ( this.center.equals( sphere.center ) === true ) {
this.radius = Math.max( this.radius, sphere.radius );
} else {
_v2.subVectors( sphere.center, this.center ).setLength( sphere.radius );
this.expandByPoint( _v1.copy( sphere.center ).add( _v2 ) );
this.expandByPoint( _v1.copy( sphere.center ).sub( _v2 ) );
}
return this;
}
equals( sphere ) {
return sphere.center.equals( this.center ) && ( sphere.radius === this.radius );
}
clone() {
return new this.constructor().copy( this );
}
}
export { Sphere };

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import * as MathUtils from './MathUtils.js';
/**
* Ref: https://en.wikipedia.org/wiki/Spherical_coordinate_system
*
* phi (the polar angle) is measured from the positive y-axis. The positive y-axis is up.
* theta (the azimuthal angle) is measured from the positive z-axis.
*/
class Spherical {
constructor( radius = 1, phi = 0, theta = 0 ) {
this.radius = radius;
this.phi = phi; // polar angle
this.theta = theta; // azimuthal angle
return this;
}
set( radius, phi, theta ) {
this.radius = radius;
this.phi = phi;
this.theta = theta;
return this;
}
copy( other ) {
this.radius = other.radius;
this.phi = other.phi;
this.theta = other.theta;
return this;
}
// restrict phi to be between EPS and PI-EPS
makeSafe() {
const EPS = 0.000001;
this.phi = Math.max( EPS, Math.min( Math.PI - EPS, this.phi ) );
return this;
}
setFromVector3( v ) {
return this.setFromCartesianCoords( v.x, v.y, v.z );
}
setFromCartesianCoords( x, y, z ) {
this.radius = Math.sqrt( x * x + y * y + z * z );
if ( this.radius === 0 ) {
this.theta = 0;
this.phi = 0;
} else {
this.theta = Math.atan2( x, z );
this.phi = Math.acos( MathUtils.clamp( y / this.radius, - 1, 1 ) );
}
return this;
}
clone() {
return new this.constructor().copy( this );
}
}
export { Spherical };

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import { Vector3 } from './Vector3.js';
/**
* Primary reference:
* https://graphics.stanford.edu/papers/envmap/envmap.pdf
*
* Secondary reference:
* https://www.ppsloan.org/publications/StupidSH36.pdf
*/
// 3-band SH defined by 9 coefficients
class SphericalHarmonics3 {
constructor() {
this.isSphericalHarmonics3 = true;
this.coefficients = [];
for ( let i = 0; i < 9; i ++ ) {
this.coefficients.push( new Vector3() );
}
}
set( coefficients ) {
for ( let i = 0; i < 9; i ++ ) {
this.coefficients[ i ].copy( coefficients[ i ] );
}
return this;
}
zero() {
for ( let i = 0; i < 9; i ++ ) {
this.coefficients[ i ].set( 0, 0, 0 );
}
return this;
}
// get the radiance in the direction of the normal
// target is a Vector3
getAt( normal, target ) {
// normal is assumed to be unit length
const x = normal.x, y = normal.y, z = normal.z;
const coeff = this.coefficients;
// band 0
target.copy( coeff[ 0 ] ).multiplyScalar( 0.282095 );
// band 1
target.addScaledVector( coeff[ 1 ], 0.488603 * y );
target.addScaledVector( coeff[ 2 ], 0.488603 * z );
target.addScaledVector( coeff[ 3 ], 0.488603 * x );
// band 2
target.addScaledVector( coeff[ 4 ], 1.092548 * ( x * y ) );
target.addScaledVector( coeff[ 5 ], 1.092548 * ( y * z ) );
target.addScaledVector( coeff[ 6 ], 0.315392 * ( 3.0 * z * z - 1.0 ) );
target.addScaledVector( coeff[ 7 ], 1.092548 * ( x * z ) );
target.addScaledVector( coeff[ 8 ], 0.546274 * ( x * x - y * y ) );
return target;
}
// get the irradiance (radiance convolved with cosine lobe) in the direction of the normal
// target is a Vector3
// https://graphics.stanford.edu/papers/envmap/envmap.pdf
getIrradianceAt( normal, target ) {
// normal is assumed to be unit length
const x = normal.x, y = normal.y, z = normal.z;
const coeff = this.coefficients;
// band 0
target.copy( coeff[ 0 ] ).multiplyScalar( 0.886227 ); // π * 0.282095
// band 1
target.addScaledVector( coeff[ 1 ], 2.0 * 0.511664 * y ); // ( 2 * π / 3 ) * 0.488603
target.addScaledVector( coeff[ 2 ], 2.0 * 0.511664 * z );
target.addScaledVector( coeff[ 3 ], 2.0 * 0.511664 * x );
// band 2
target.addScaledVector( coeff[ 4 ], 2.0 * 0.429043 * x * y ); // ( π / 4 ) * 1.092548
target.addScaledVector( coeff[ 5 ], 2.0 * 0.429043 * y * z );
target.addScaledVector( coeff[ 6 ], 0.743125 * z * z - 0.247708 ); // ( π / 4 ) * 0.315392 * 3
target.addScaledVector( coeff[ 7 ], 2.0 * 0.429043 * x * z );
target.addScaledVector( coeff[ 8 ], 0.429043 * ( x * x - y * y ) ); // ( π / 4 ) * 0.546274
return target;
}
add( sh ) {
for ( let i = 0; i < 9; i ++ ) {
this.coefficients[ i ].add( sh.coefficients[ i ] );
}
return this;
}
addScaledSH( sh, s ) {
for ( let i = 0; i < 9; i ++ ) {
this.coefficients[ i ].addScaledVector( sh.coefficients[ i ], s );
}
return this;
}
scale( s ) {
for ( let i = 0; i < 9; i ++ ) {
this.coefficients[ i ].multiplyScalar( s );
}
return this;
}
lerp( sh, alpha ) {
for ( let i = 0; i < 9; i ++ ) {
this.coefficients[ i ].lerp( sh.coefficients[ i ], alpha );
}
return this;
}
equals( sh ) {
for ( let i = 0; i < 9; i ++ ) {
if ( ! this.coefficients[ i ].equals( sh.coefficients[ i ] ) ) {
return false;
}
}
return true;
}
copy( sh ) {
return this.set( sh.coefficients );
}
clone() {
return new this.constructor().copy( this );
}
fromArray( array, offset = 0 ) {
const coefficients = this.coefficients;
for ( let i = 0; i < 9; i ++ ) {
coefficients[ i ].fromArray( array, offset + ( i * 3 ) );
}
return this;
}
toArray( array = [], offset = 0 ) {
const coefficients = this.coefficients;
for ( let i = 0; i < 9; i ++ ) {
coefficients[ i ].toArray( array, offset + ( i * 3 ) );
}
return array;
}
// evaluate the basis functions
// shBasis is an Array[ 9 ]
static getBasisAt( normal, shBasis ) {
// normal is assumed to be unit length
const x = normal.x, y = normal.y, z = normal.z;
// band 0
shBasis[ 0 ] = 0.282095;
// band 1
shBasis[ 1 ] = 0.488603 * y;
shBasis[ 2 ] = 0.488603 * z;
shBasis[ 3 ] = 0.488603 * x;
// band 2
shBasis[ 4 ] = 1.092548 * x * y;
shBasis[ 5 ] = 1.092548 * y * z;
shBasis[ 6 ] = 0.315392 * ( 3 * z * z - 1 );
shBasis[ 7 ] = 1.092548 * x * z;
shBasis[ 8 ] = 0.546274 * ( x * x - y * y );
}
}
export { SphericalHarmonics3 };

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import { Vector3 } from './Vector3.js';
const _v0 = /*@__PURE__*/ new Vector3();
const _v1 = /*@__PURE__*/ new Vector3();
const _v2 = /*@__PURE__*/ new Vector3();
const _v3 = /*@__PURE__*/ new Vector3();
const _vab = /*@__PURE__*/ new Vector3();
const _vac = /*@__PURE__*/ new Vector3();
const _vbc = /*@__PURE__*/ new Vector3();
const _vap = /*@__PURE__*/ new Vector3();
const _vbp = /*@__PURE__*/ new Vector3();
const _vcp = /*@__PURE__*/ new Vector3();
class Triangle {
constructor( a = new Vector3(), b = new Vector3(), c = new Vector3() ) {
this.a = a;
this.b = b;
this.c = c;
}
static getNormal( a, b, c, target ) {
target.subVectors( c, b );
_v0.subVectors( a, b );
target.cross( _v0 );
const targetLengthSq = target.lengthSq();
if ( targetLengthSq > 0 ) {
return target.multiplyScalar( 1 / Math.sqrt( targetLengthSq ) );
}
return target.set( 0, 0, 0 );
}
// static/instance method to calculate barycentric coordinates
// based on: http://www.blackpawn.com/texts/pointinpoly/default.html
static getBarycoord( point, a, b, c, target ) {
_v0.subVectors( c, a );
_v1.subVectors( b, a );
_v2.subVectors( point, a );
const dot00 = _v0.dot( _v0 );
const dot01 = _v0.dot( _v1 );
const dot02 = _v0.dot( _v2 );
const dot11 = _v1.dot( _v1 );
const dot12 = _v1.dot( _v2 );
const denom = ( dot00 * dot11 - dot01 * dot01 );
// collinear or singular triangle
if ( denom === 0 ) {
target.set( 0, 0, 0 );
return null;
}
const invDenom = 1 / denom;
const u = ( dot11 * dot02 - dot01 * dot12 ) * invDenom;
const v = ( dot00 * dot12 - dot01 * dot02 ) * invDenom;
// barycentric coordinates must always sum to 1
return target.set( 1 - u - v, v, u );
}
static containsPoint( point, a, b, c ) {
// if the triangle is degenerate then we can't contain a point
if ( this.getBarycoord( point, a, b, c, _v3 ) === null ) {
return false;
}
return ( _v3.x >= 0 ) && ( _v3.y >= 0 ) && ( ( _v3.x + _v3.y ) <= 1 );
}
static getInterpolation( point, p1, p2, p3, v1, v2, v3, target ) {
if ( this.getBarycoord( point, p1, p2, p3, _v3 ) === null ) {
target.x = 0;
target.y = 0;
if ( 'z' in target ) target.z = 0;
if ( 'w' in target ) target.w = 0;
return null;
}
target.setScalar( 0 );
target.addScaledVector( v1, _v3.x );
target.addScaledVector( v2, _v3.y );
target.addScaledVector( v3, _v3.z );
return target;
}
static isFrontFacing( a, b, c, direction ) {
_v0.subVectors( c, b );
_v1.subVectors( a, b );
// strictly front facing
return ( _v0.cross( _v1 ).dot( direction ) < 0 ) ? true : false;
}
set( a, b, c ) {
this.a.copy( a );
this.b.copy( b );
this.c.copy( c );
return this;
}
setFromPointsAndIndices( points, i0, i1, i2 ) {
this.a.copy( points[ i0 ] );
this.b.copy( points[ i1 ] );
this.c.copy( points[ i2 ] );
return this;
}
setFromAttributeAndIndices( attribute, i0, i1, i2 ) {
this.a.fromBufferAttribute( attribute, i0 );
this.b.fromBufferAttribute( attribute, i1 );
this.c.fromBufferAttribute( attribute, i2 );
return this;
}
clone() {
return new this.constructor().copy( this );
}
copy( triangle ) {
this.a.copy( triangle.a );
this.b.copy( triangle.b );
this.c.copy( triangle.c );
return this;
}
getArea() {
_v0.subVectors( this.c, this.b );
_v1.subVectors( this.a, this.b );
return _v0.cross( _v1 ).length() * 0.5;
}
getMidpoint( target ) {
return target.addVectors( this.a, this.b ).add( this.c ).multiplyScalar( 1 / 3 );
}
getNormal( target ) {
return Triangle.getNormal( this.a, this.b, this.c, target );
}
getPlane( target ) {
return target.setFromCoplanarPoints( this.a, this.b, this.c );
}
getBarycoord( point, target ) {
return Triangle.getBarycoord( point, this.a, this.b, this.c, target );
}
getInterpolation( point, v1, v2, v3, target ) {
return Triangle.getInterpolation( point, this.a, this.b, this.c, v1, v2, v3, target );
}
containsPoint( point ) {
return Triangle.containsPoint( point, this.a, this.b, this.c );
}
isFrontFacing( direction ) {
return Triangle.isFrontFacing( this.a, this.b, this.c, direction );
}
intersectsBox( box ) {
return box.intersectsTriangle( this );
}
closestPointToPoint( p, target ) {
const a = this.a, b = this.b, c = this.c;
let v, w;
// algorithm thanks to Real-Time Collision Detection by Christer Ericson,
// published by Morgan Kaufmann Publishers, (c) 2005 Elsevier Inc.,
// under the accompanying license; see chapter 5.1.5 for detailed explanation.
// basically, we're distinguishing which of the voronoi regions of the triangle
// the point lies in with the minimum amount of redundant computation.
_vab.subVectors( b, a );
_vac.subVectors( c, a );
_vap.subVectors( p, a );
const d1 = _vab.dot( _vap );
const d2 = _vac.dot( _vap );
if ( d1 <= 0 && d2 <= 0 ) {
// vertex region of A; barycentric coords (1, 0, 0)
return target.copy( a );
}
_vbp.subVectors( p, b );
const d3 = _vab.dot( _vbp );
const d4 = _vac.dot( _vbp );
if ( d3 >= 0 && d4 <= d3 ) {
// vertex region of B; barycentric coords (0, 1, 0)
return target.copy( b );
}
const vc = d1 * d4 - d3 * d2;
if ( vc <= 0 && d1 >= 0 && d3 <= 0 ) {
v = d1 / ( d1 - d3 );
// edge region of AB; barycentric coords (1-v, v, 0)
return target.copy( a ).addScaledVector( _vab, v );
}
_vcp.subVectors( p, c );
const d5 = _vab.dot( _vcp );
const d6 = _vac.dot( _vcp );
if ( d6 >= 0 && d5 <= d6 ) {
// vertex region of C; barycentric coords (0, 0, 1)
return target.copy( c );
}
const vb = d5 * d2 - d1 * d6;
if ( vb <= 0 && d2 >= 0 && d6 <= 0 ) {
w = d2 / ( d2 - d6 );
// edge region of AC; barycentric coords (1-w, 0, w)
return target.copy( a ).addScaledVector( _vac, w );
}
const va = d3 * d6 - d5 * d4;
if ( va <= 0 && ( d4 - d3 ) >= 0 && ( d5 - d6 ) >= 0 ) {
_vbc.subVectors( c, b );
w = ( d4 - d3 ) / ( ( d4 - d3 ) + ( d5 - d6 ) );
// edge region of BC; barycentric coords (0, 1-w, w)
return target.copy( b ).addScaledVector( _vbc, w ); // edge region of BC
}
// face region
const denom = 1 / ( va + vb + vc );
// u = va * denom
v = vb * denom;
w = vc * denom;
return target.copy( a ).addScaledVector( _vab, v ).addScaledVector( _vac, w );
}
equals( triangle ) {
return triangle.a.equals( this.a ) && triangle.b.equals( this.b ) && triangle.c.equals( this.c );
}
}
export { Triangle };

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import * as MathUtils from './MathUtils.js';
class Vector2 {
constructor( x = 0, y = 0 ) {
Vector2.prototype.isVector2 = true;
this.x = x;
this.y = y;
}
get width() {
return this.x;
}
set width( value ) {
this.x = value;
}
get height() {
return this.y;
}
set height( value ) {
this.y = value;
}
set( x, y ) {
this.x = x;
this.y = y;
return this;
}
setScalar( scalar ) {
this.x = scalar;
this.y = scalar;
return this;
}
setX( x ) {
this.x = x;
return this;
}
setY( y ) {
this.y = y;
return this;
}
setComponent( index, value ) {
switch ( index ) {
case 0: this.x = value; break;
case 1: this.y = value; break;
default: throw new Error( 'index is out of range: ' + index );
}
return this;
}
getComponent( index ) {
switch ( index ) {
case 0: return this.x;
case 1: return this.y;
default: throw new Error( 'index is out of range: ' + index );
}
}
clone() {
return new this.constructor( this.x, this.y );
}
copy( v ) {
this.x = v.x;
this.y = v.y;
return this;
}
add( v ) {
this.x += v.x;
this.y += v.y;
return this;
}
addScalar( s ) {
this.x += s;
this.y += s;
return this;
}
addVectors( a, b ) {
this.x = a.x + b.x;
this.y = a.y + b.y;
return this;
}
addScaledVector( v, s ) {
this.x += v.x * s;
this.y += v.y * s;
return this;
}
sub( v ) {
this.x -= v.x;
this.y -= v.y;
return this;
}
subScalar( s ) {
this.x -= s;
this.y -= s;
return this;
}
subVectors( a, b ) {
this.x = a.x - b.x;
this.y = a.y - b.y;
return this;
}
multiply( v ) {
this.x *= v.x;
this.y *= v.y;
return this;
}
multiplyScalar( scalar ) {
this.x *= scalar;
this.y *= scalar;
return this;
}
divide( v ) {
this.x /= v.x;
this.y /= v.y;
return this;
}
divideScalar( scalar ) {
return this.multiplyScalar( 1 / scalar );
}
applyMatrix3( m ) {
const x = this.x, y = this.y;
const e = m.elements;
this.x = e[ 0 ] * x + e[ 3 ] * y + e[ 6 ];
this.y = e[ 1 ] * x + e[ 4 ] * y + e[ 7 ];
return this;
}
min( v ) {
this.x = Math.min( this.x, v.x );
this.y = Math.min( this.y, v.y );
return this;
}
max( v ) {
this.x = Math.max( this.x, v.x );
this.y = Math.max( this.y, v.y );
return this;
}
clamp( min, max ) {
// assumes min < max, componentwise
this.x = Math.max( min.x, Math.min( max.x, this.x ) );
this.y = Math.max( min.y, Math.min( max.y, this.y ) );
return this;
}
clampScalar( minVal, maxVal ) {
this.x = Math.max( minVal, Math.min( maxVal, this.x ) );
this.y = Math.max( minVal, Math.min( maxVal, this.y ) );
return this;
}
clampLength( min, max ) {
const length = this.length();
return this.divideScalar( length || 1 ).multiplyScalar( Math.max( min, Math.min( max, length ) ) );
}
floor() {
this.x = Math.floor( this.x );
this.y = Math.floor( this.y );
return this;
}
ceil() {
this.x = Math.ceil( this.x );
this.y = Math.ceil( this.y );
return this;
}
round() {
this.x = Math.round( this.x );
this.y = Math.round( this.y );
return this;
}
roundToZero() {
this.x = Math.trunc( this.x );
this.y = Math.trunc( this.y );
return this;
}
negate() {
this.x = - this.x;
this.y = - this.y;
return this;
}
dot( v ) {
return this.x * v.x + this.y * v.y;
}
cross( v ) {
return this.x * v.y - this.y * v.x;
}
lengthSq() {
return this.x * this.x + this.y * this.y;
}
length() {
return Math.sqrt( this.x * this.x + this.y * this.y );
}
manhattanLength() {
return Math.abs( this.x ) + Math.abs( this.y );
}
normalize() {
return this.divideScalar( this.length() || 1 );
}
angle() {
// computes the angle in radians with respect to the positive x-axis
const angle = Math.atan2( - this.y, - this.x ) + Math.PI;
return angle;
}
angleTo( v ) {
const denominator = Math.sqrt( this.lengthSq() * v.lengthSq() );
if ( denominator === 0 ) return Math.PI / 2;
const theta = this.dot( v ) / denominator;
// clamp, to handle numerical problems
return Math.acos( MathUtils.clamp( theta, - 1, 1 ) );
}
distanceTo( v ) {
return Math.sqrt( this.distanceToSquared( v ) );
}
distanceToSquared( v ) {
const dx = this.x - v.x, dy = this.y - v.y;
return dx * dx + dy * dy;
}
manhattanDistanceTo( v ) {
return Math.abs( this.x - v.x ) + Math.abs( this.y - v.y );
}
setLength( length ) {
return this.normalize().multiplyScalar( length );
}
lerp( v, alpha ) {
this.x += ( v.x - this.x ) * alpha;
this.y += ( v.y - this.y ) * alpha;
return this;
}
lerpVectors( v1, v2, alpha ) {
this.x = v1.x + ( v2.x - v1.x ) * alpha;
this.y = v1.y + ( v2.y - v1.y ) * alpha;
return this;
}
equals( v ) {
return ( ( v.x === this.x ) && ( v.y === this.y ) );
}
fromArray( array, offset = 0 ) {
this.x = array[ offset ];
this.y = array[ offset + 1 ];
return this;
}
toArray( array = [], offset = 0 ) {
array[ offset ] = this.x;
array[ offset + 1 ] = this.y;
return array;
}
fromBufferAttribute( attribute, index ) {
this.x = attribute.getX( index );
this.y = attribute.getY( index );
return this;
}
rotateAround( center, angle ) {
const c = Math.cos( angle ), s = Math.sin( angle );
const x = this.x - center.x;
const y = this.y - center.y;
this.x = x * c - y * s + center.x;
this.y = x * s + y * c + center.y;
return this;
}
random() {
this.x = Math.random();
this.y = Math.random();
return this;
}
*[ Symbol.iterator ]() {
yield this.x;
yield this.y;
}
}
export { Vector2 };

724
site/game/node_modules/three/src/math/Vector3.js generated vendored Normal file
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import * as MathUtils from './MathUtils.js';
import { Quaternion } from './Quaternion.js';
class Vector3 {
constructor( x = 0, y = 0, z = 0 ) {
Vector3.prototype.isVector3 = true;
this.x = x;
this.y = y;
this.z = z;
}
set( x, y, z ) {
if ( z === undefined ) z = this.z; // sprite.scale.set(x,y)
this.x = x;
this.y = y;
this.z = z;
return this;
}
setScalar( scalar ) {
this.x = scalar;
this.y = scalar;
this.z = scalar;
return this;
}
setX( x ) {
this.x = x;
return this;
}
setY( y ) {
this.y = y;
return this;
}
setZ( z ) {
this.z = z;
return this;
}
setComponent( index, value ) {
switch ( index ) {
case 0: this.x = value; break;
case 1: this.y = value; break;
case 2: this.z = value; break;
default: throw new Error( 'index is out of range: ' + index );
}
return this;
}
getComponent( index ) {
switch ( index ) {
case 0: return this.x;
case 1: return this.y;
case 2: return this.z;
default: throw new Error( 'index is out of range: ' + index );
}
}
clone() {
return new this.constructor( this.x, this.y, this.z );
}
copy( v ) {
this.x = v.x;
this.y = v.y;
this.z = v.z;
return this;
}
add( v ) {
this.x += v.x;
this.y += v.y;
this.z += v.z;
return this;
}
addScalar( s ) {
this.x += s;
this.y += s;
this.z += s;
return this;
}
addVectors( a, b ) {
this.x = a.x + b.x;
this.y = a.y + b.y;
this.z = a.z + b.z;
return this;
}
addScaledVector( v, s ) {
this.x += v.x * s;
this.y += v.y * s;
this.z += v.z * s;
return this;
}
sub( v ) {
this.x -= v.x;
this.y -= v.y;
this.z -= v.z;
return this;
}
subScalar( s ) {
this.x -= s;
this.y -= s;
this.z -= s;
return this;
}
subVectors( a, b ) {
this.x = a.x - b.x;
this.y = a.y - b.y;
this.z = a.z - b.z;
return this;
}
multiply( v ) {
this.x *= v.x;
this.y *= v.y;
this.z *= v.z;
return this;
}
multiplyScalar( scalar ) {
this.x *= scalar;
this.y *= scalar;
this.z *= scalar;
return this;
}
multiplyVectors( a, b ) {
this.x = a.x * b.x;
this.y = a.y * b.y;
this.z = a.z * b.z;
return this;
}
applyEuler( euler ) {
return this.applyQuaternion( _quaternion.setFromEuler( euler ) );
}
applyAxisAngle( axis, angle ) {
return this.applyQuaternion( _quaternion.setFromAxisAngle( axis, angle ) );
}
applyMatrix3( m ) {
const x = this.x, y = this.y, z = this.z;
const e = m.elements;
this.x = e[ 0 ] * x + e[ 3 ] * y + e[ 6 ] * z;
this.y = e[ 1 ] * x + e[ 4 ] * y + e[ 7 ] * z;
this.z = e[ 2 ] * x + e[ 5 ] * y + e[ 8 ] * z;
return this;
}
applyNormalMatrix( m ) {
return this.applyMatrix3( m ).normalize();
}
applyMatrix4( m ) {
const x = this.x, y = this.y, z = this.z;
const e = m.elements;
const w = 1 / ( e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ] );
this.x = ( e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z + e[ 12 ] ) * w;
this.y = ( e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z + e[ 13 ] ) * w;
this.z = ( e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ] ) * w;
return this;
}
applyQuaternion( q ) {
// quaternion q is assumed to have unit length
const vx = this.x, vy = this.y, vz = this.z;
const qx = q.x, qy = q.y, qz = q.z, qw = q.w;
// t = 2 * cross( q.xyz, v );
const tx = 2 * ( qy * vz - qz * vy );
const ty = 2 * ( qz * vx - qx * vz );
const tz = 2 * ( qx * vy - qy * vx );
// v + q.w * t + cross( q.xyz, t );
this.x = vx + qw * tx + qy * tz - qz * ty;
this.y = vy + qw * ty + qz * tx - qx * tz;
this.z = vz + qw * tz + qx * ty - qy * tx;
return this;
}
project( camera ) {
return this.applyMatrix4( camera.matrixWorldInverse ).applyMatrix4( camera.projectionMatrix );
}
unproject( camera ) {
return this.applyMatrix4( camera.projectionMatrixInverse ).applyMatrix4( camera.matrixWorld );
}
transformDirection( m ) {
// input: THREE.Matrix4 affine matrix
// vector interpreted as a direction
const x = this.x, y = this.y, z = this.z;
const e = m.elements;
this.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z;
this.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z;
this.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z;
return this.normalize();
}
divide( v ) {
this.x /= v.x;
this.y /= v.y;
this.z /= v.z;
return this;
}
divideScalar( scalar ) {
return this.multiplyScalar( 1 / scalar );
}
min( v ) {
this.x = Math.min( this.x, v.x );
this.y = Math.min( this.y, v.y );
this.z = Math.min( this.z, v.z );
return this;
}
max( v ) {
this.x = Math.max( this.x, v.x );
this.y = Math.max( this.y, v.y );
this.z = Math.max( this.z, v.z );
return this;
}
clamp( min, max ) {
// assumes min < max, componentwise
this.x = Math.max( min.x, Math.min( max.x, this.x ) );
this.y = Math.max( min.y, Math.min( max.y, this.y ) );
this.z = Math.max( min.z, Math.min( max.z, this.z ) );
return this;
}
clampScalar( minVal, maxVal ) {
this.x = Math.max( minVal, Math.min( maxVal, this.x ) );
this.y = Math.max( minVal, Math.min( maxVal, this.y ) );
this.z = Math.max( minVal, Math.min( maxVal, this.z ) );
return this;
}
clampLength( min, max ) {
const length = this.length();
return this.divideScalar( length || 1 ).multiplyScalar( Math.max( min, Math.min( max, length ) ) );
}
floor() {
this.x = Math.floor( this.x );
this.y = Math.floor( this.y );
this.z = Math.floor( this.z );
return this;
}
ceil() {
this.x = Math.ceil( this.x );
this.y = Math.ceil( this.y );
this.z = Math.ceil( this.z );
return this;
}
round() {
this.x = Math.round( this.x );
this.y = Math.round( this.y );
this.z = Math.round( this.z );
return this;
}
roundToZero() {
this.x = Math.trunc( this.x );
this.y = Math.trunc( this.y );
this.z = Math.trunc( this.z );
return this;
}
negate() {
this.x = - this.x;
this.y = - this.y;
this.z = - this.z;
return this;
}
dot( v ) {
return this.x * v.x + this.y * v.y + this.z * v.z;
}
// TODO lengthSquared?
lengthSq() {
return this.x * this.x + this.y * this.y + this.z * this.z;
}
length() {
return Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z );
}
manhattanLength() {
return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z );
}
normalize() {
return this.divideScalar( this.length() || 1 );
}
setLength( length ) {
return this.normalize().multiplyScalar( length );
}
lerp( v, alpha ) {
this.x += ( v.x - this.x ) * alpha;
this.y += ( v.y - this.y ) * alpha;
this.z += ( v.z - this.z ) * alpha;
return this;
}
lerpVectors( v1, v2, alpha ) {
this.x = v1.x + ( v2.x - v1.x ) * alpha;
this.y = v1.y + ( v2.y - v1.y ) * alpha;
this.z = v1.z + ( v2.z - v1.z ) * alpha;
return this;
}
cross( v ) {
return this.crossVectors( this, v );
}
crossVectors( a, b ) {
const ax = a.x, ay = a.y, az = a.z;
const bx = b.x, by = b.y, bz = b.z;
this.x = ay * bz - az * by;
this.y = az * bx - ax * bz;
this.z = ax * by - ay * bx;
return this;
}
projectOnVector( v ) {
const denominator = v.lengthSq();
if ( denominator === 0 ) return this.set( 0, 0, 0 );
const scalar = v.dot( this ) / denominator;
return this.copy( v ).multiplyScalar( scalar );
}
projectOnPlane( planeNormal ) {
_vector.copy( this ).projectOnVector( planeNormal );
return this.sub( _vector );
}
reflect( normal ) {
// reflect incident vector off plane orthogonal to normal
// normal is assumed to have unit length
return this.sub( _vector.copy( normal ).multiplyScalar( 2 * this.dot( normal ) ) );
}
angleTo( v ) {
const denominator = Math.sqrt( this.lengthSq() * v.lengthSq() );
if ( denominator === 0 ) return Math.PI / 2;
const theta = this.dot( v ) / denominator;
// clamp, to handle numerical problems
return Math.acos( MathUtils.clamp( theta, - 1, 1 ) );
}
distanceTo( v ) {
return Math.sqrt( this.distanceToSquared( v ) );
}
distanceToSquared( v ) {
const dx = this.x - v.x, dy = this.y - v.y, dz = this.z - v.z;
return dx * dx + dy * dy + dz * dz;
}
manhattanDistanceTo( v ) {
return Math.abs( this.x - v.x ) + Math.abs( this.y - v.y ) + Math.abs( this.z - v.z );
}
setFromSpherical( s ) {
return this.setFromSphericalCoords( s.radius, s.phi, s.theta );
}
setFromSphericalCoords( radius, phi, theta ) {
const sinPhiRadius = Math.sin( phi ) * radius;
this.x = sinPhiRadius * Math.sin( theta );
this.y = Math.cos( phi ) * radius;
this.z = sinPhiRadius * Math.cos( theta );
return this;
}
setFromCylindrical( c ) {
return this.setFromCylindricalCoords( c.radius, c.theta, c.y );
}
setFromCylindricalCoords( radius, theta, y ) {
this.x = radius * Math.sin( theta );
this.y = y;
this.z = radius * Math.cos( theta );
return this;
}
setFromMatrixPosition( m ) {
const e = m.elements;
this.x = e[ 12 ];
this.y = e[ 13 ];
this.z = e[ 14 ];
return this;
}
setFromMatrixScale( m ) {
const sx = this.setFromMatrixColumn( m, 0 ).length();
const sy = this.setFromMatrixColumn( m, 1 ).length();
const sz = this.setFromMatrixColumn( m, 2 ).length();
this.x = sx;
this.y = sy;
this.z = sz;
return this;
}
setFromMatrixColumn( m, index ) {
return this.fromArray( m.elements, index * 4 );
}
setFromMatrix3Column( m, index ) {
return this.fromArray( m.elements, index * 3 );
}
setFromEuler( e ) {
this.x = e._x;
this.y = e._y;
this.z = e._z;
return this;
}
setFromColor( c ) {
this.x = c.r;
this.y = c.g;
this.z = c.b;
return this;
}
equals( v ) {
return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) );
}
fromArray( array, offset = 0 ) {
this.x = array[ offset ];
this.y = array[ offset + 1 ];
this.z = array[ offset + 2 ];
return this;
}
toArray( array = [], offset = 0 ) {
array[ offset ] = this.x;
array[ offset + 1 ] = this.y;
array[ offset + 2 ] = this.z;
return array;
}
fromBufferAttribute( attribute, index ) {
this.x = attribute.getX( index );
this.y = attribute.getY( index );
this.z = attribute.getZ( index );
return this;
}
random() {
this.x = Math.random();
this.y = Math.random();
this.z = Math.random();
return this;
}
randomDirection() {
// https://mathworld.wolfram.com/SpherePointPicking.html
const theta = Math.random() * Math.PI * 2;
const u = Math.random() * 2 - 1;
const c = Math.sqrt( 1 - u * u );
this.x = c * Math.cos( theta );
this.y = u;
this.z = c * Math.sin( theta );
return this;
}
*[ Symbol.iterator ]() {
yield this.x;
yield this.y;
yield this.z;
}
}
const _vector = /*@__PURE__*/ new Vector3();
const _quaternion = /*@__PURE__*/ new Quaternion();
export { Vector3 };

657
site/game/node_modules/three/src/math/Vector4.js generated vendored Normal file
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class Vector4 {
constructor( x = 0, y = 0, z = 0, w = 1 ) {
Vector4.prototype.isVector4 = true;
this.x = x;
this.y = y;
this.z = z;
this.w = w;
}
get width() {
return this.z;
}
set width( value ) {
this.z = value;
}
get height() {
return this.w;
}
set height( value ) {
this.w = value;
}
set( x, y, z, w ) {
this.x = x;
this.y = y;
this.z = z;
this.w = w;
return this;
}
setScalar( scalar ) {
this.x = scalar;
this.y = scalar;
this.z = scalar;
this.w = scalar;
return this;
}
setX( x ) {
this.x = x;
return this;
}
setY( y ) {
this.y = y;
return this;
}
setZ( z ) {
this.z = z;
return this;
}
setW( w ) {
this.w = w;
return this;
}
setComponent( index, value ) {
switch ( index ) {
case 0: this.x = value; break;
case 1: this.y = value; break;
case 2: this.z = value; break;
case 3: this.w = value; break;
default: throw new Error( 'index is out of range: ' + index );
}
return this;
}
getComponent( index ) {
switch ( index ) {
case 0: return this.x;
case 1: return this.y;
case 2: return this.z;
case 3: return this.w;
default: throw new Error( 'index is out of range: ' + index );
}
}
clone() {
return new this.constructor( this.x, this.y, this.z, this.w );
}
copy( v ) {
this.x = v.x;
this.y = v.y;
this.z = v.z;
this.w = ( v.w !== undefined ) ? v.w : 1;
return this;
}
add( v ) {
this.x += v.x;
this.y += v.y;
this.z += v.z;
this.w += v.w;
return this;
}
addScalar( s ) {
this.x += s;
this.y += s;
this.z += s;
this.w += s;
return this;
}
addVectors( a, b ) {
this.x = a.x + b.x;
this.y = a.y + b.y;
this.z = a.z + b.z;
this.w = a.w + b.w;
return this;
}
addScaledVector( v, s ) {
this.x += v.x * s;
this.y += v.y * s;
this.z += v.z * s;
this.w += v.w * s;
return this;
}
sub( v ) {
this.x -= v.x;
this.y -= v.y;
this.z -= v.z;
this.w -= v.w;
return this;
}
subScalar( s ) {
this.x -= s;
this.y -= s;
this.z -= s;
this.w -= s;
return this;
}
subVectors( a, b ) {
this.x = a.x - b.x;
this.y = a.y - b.y;
this.z = a.z - b.z;
this.w = a.w - b.w;
return this;
}
multiply( v ) {
this.x *= v.x;
this.y *= v.y;
this.z *= v.z;
this.w *= v.w;
return this;
}
multiplyScalar( scalar ) {
this.x *= scalar;
this.y *= scalar;
this.z *= scalar;
this.w *= scalar;
return this;
}
applyMatrix4( m ) {
const x = this.x, y = this.y, z = this.z, w = this.w;
const e = m.elements;
this.x = e[ 0 ] * x + e[ 4 ] * y + e[ 8 ] * z + e[ 12 ] * w;
this.y = e[ 1 ] * x + e[ 5 ] * y + e[ 9 ] * z + e[ 13 ] * w;
this.z = e[ 2 ] * x + e[ 6 ] * y + e[ 10 ] * z + e[ 14 ] * w;
this.w = e[ 3 ] * x + e[ 7 ] * y + e[ 11 ] * z + e[ 15 ] * w;
return this;
}
divideScalar( scalar ) {
return this.multiplyScalar( 1 / scalar );
}
setAxisAngleFromQuaternion( q ) {
// http://www.euclideanspace.com/maths/geometry/rotations/conversions/quaternionToAngle/index.htm
// q is assumed to be normalized
this.w = 2 * Math.acos( q.w );
const s = Math.sqrt( 1 - q.w * q.w );
if ( s < 0.0001 ) {
this.x = 1;
this.y = 0;
this.z = 0;
} else {
this.x = q.x / s;
this.y = q.y / s;
this.z = q.z / s;
}
return this;
}
setAxisAngleFromRotationMatrix( m ) {
// http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToAngle/index.htm
// assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled)
let angle, x, y, z; // variables for result
const epsilon = 0.01, // margin to allow for rounding errors
epsilon2 = 0.1, // margin to distinguish between 0 and 180 degrees
te = m.elements,
m11 = te[ 0 ], m12 = te[ 4 ], m13 = te[ 8 ],
m21 = te[ 1 ], m22 = te[ 5 ], m23 = te[ 9 ],
m31 = te[ 2 ], m32 = te[ 6 ], m33 = te[ 10 ];
if ( ( Math.abs( m12 - m21 ) < epsilon ) &&
( Math.abs( m13 - m31 ) < epsilon ) &&
( Math.abs( m23 - m32 ) < epsilon ) ) {
// singularity found
// first check for identity matrix which must have +1 for all terms
// in leading diagonal and zero in other terms
if ( ( Math.abs( m12 + m21 ) < epsilon2 ) &&
( Math.abs( m13 + m31 ) < epsilon2 ) &&
( Math.abs( m23 + m32 ) < epsilon2 ) &&
( Math.abs( m11 + m22 + m33 - 3 ) < epsilon2 ) ) {
// this singularity is identity matrix so angle = 0
this.set( 1, 0, 0, 0 );
return this; // zero angle, arbitrary axis
}
// otherwise this singularity is angle = 180
angle = Math.PI;
const xx = ( m11 + 1 ) / 2;
const yy = ( m22 + 1 ) / 2;
const zz = ( m33 + 1 ) / 2;
const xy = ( m12 + m21 ) / 4;
const xz = ( m13 + m31 ) / 4;
const yz = ( m23 + m32 ) / 4;
if ( ( xx > yy ) && ( xx > zz ) ) {
// m11 is the largest diagonal term
if ( xx < epsilon ) {
x = 0;
y = 0.707106781;
z = 0.707106781;
} else {
x = Math.sqrt( xx );
y = xy / x;
z = xz / x;
}
} else if ( yy > zz ) {
// m22 is the largest diagonal term
if ( yy < epsilon ) {
x = 0.707106781;
y = 0;
z = 0.707106781;
} else {
y = Math.sqrt( yy );
x = xy / y;
z = yz / y;
}
} else {
// m33 is the largest diagonal term so base result on this
if ( zz < epsilon ) {
x = 0.707106781;
y = 0.707106781;
z = 0;
} else {
z = Math.sqrt( zz );
x = xz / z;
y = yz / z;
}
}
this.set( x, y, z, angle );
return this; // return 180 deg rotation
}
// as we have reached here there are no singularities so we can handle normally
let s = Math.sqrt( ( m32 - m23 ) * ( m32 - m23 ) +
( m13 - m31 ) * ( m13 - m31 ) +
( m21 - m12 ) * ( m21 - m12 ) ); // used to normalize
if ( Math.abs( s ) < 0.001 ) s = 1;
// prevent divide by zero, should not happen if matrix is orthogonal and should be
// caught by singularity test above, but I've left it in just in case
this.x = ( m32 - m23 ) / s;
this.y = ( m13 - m31 ) / s;
this.z = ( m21 - m12 ) / s;
this.w = Math.acos( ( m11 + m22 + m33 - 1 ) / 2 );
return this;
}
setFromMatrixPosition( m ) {
const e = m.elements;
this.x = e[ 12 ];
this.y = e[ 13 ];
this.z = e[ 14 ];
this.w = e[ 15 ];
return this;
}
min( v ) {
this.x = Math.min( this.x, v.x );
this.y = Math.min( this.y, v.y );
this.z = Math.min( this.z, v.z );
this.w = Math.min( this.w, v.w );
return this;
}
max( v ) {
this.x = Math.max( this.x, v.x );
this.y = Math.max( this.y, v.y );
this.z = Math.max( this.z, v.z );
this.w = Math.max( this.w, v.w );
return this;
}
clamp( min, max ) {
// assumes min < max, componentwise
this.x = Math.max( min.x, Math.min( max.x, this.x ) );
this.y = Math.max( min.y, Math.min( max.y, this.y ) );
this.z = Math.max( min.z, Math.min( max.z, this.z ) );
this.w = Math.max( min.w, Math.min( max.w, this.w ) );
return this;
}
clampScalar( minVal, maxVal ) {
this.x = Math.max( minVal, Math.min( maxVal, this.x ) );
this.y = Math.max( minVal, Math.min( maxVal, this.y ) );
this.z = Math.max( minVal, Math.min( maxVal, this.z ) );
this.w = Math.max( minVal, Math.min( maxVal, this.w ) );
return this;
}
clampLength( min, max ) {
const length = this.length();
return this.divideScalar( length || 1 ).multiplyScalar( Math.max( min, Math.min( max, length ) ) );
}
floor() {
this.x = Math.floor( this.x );
this.y = Math.floor( this.y );
this.z = Math.floor( this.z );
this.w = Math.floor( this.w );
return this;
}
ceil() {
this.x = Math.ceil( this.x );
this.y = Math.ceil( this.y );
this.z = Math.ceil( this.z );
this.w = Math.ceil( this.w );
return this;
}
round() {
this.x = Math.round( this.x );
this.y = Math.round( this.y );
this.z = Math.round( this.z );
this.w = Math.round( this.w );
return this;
}
roundToZero() {
this.x = Math.trunc( this.x );
this.y = Math.trunc( this.y );
this.z = Math.trunc( this.z );
this.w = Math.trunc( this.w );
return this;
}
negate() {
this.x = - this.x;
this.y = - this.y;
this.z = - this.z;
this.w = - this.w;
return this;
}
dot( v ) {
return this.x * v.x + this.y * v.y + this.z * v.z + this.w * v.w;
}
lengthSq() {
return this.x * this.x + this.y * this.y + this.z * this.z + this.w * this.w;
}
length() {
return Math.sqrt( this.x * this.x + this.y * this.y + this.z * this.z + this.w * this.w );
}
manhattanLength() {
return Math.abs( this.x ) + Math.abs( this.y ) + Math.abs( this.z ) + Math.abs( this.w );
}
normalize() {
return this.divideScalar( this.length() || 1 );
}
setLength( length ) {
return this.normalize().multiplyScalar( length );
}
lerp( v, alpha ) {
this.x += ( v.x - this.x ) * alpha;
this.y += ( v.y - this.y ) * alpha;
this.z += ( v.z - this.z ) * alpha;
this.w += ( v.w - this.w ) * alpha;
return this;
}
lerpVectors( v1, v2, alpha ) {
this.x = v1.x + ( v2.x - v1.x ) * alpha;
this.y = v1.y + ( v2.y - v1.y ) * alpha;
this.z = v1.z + ( v2.z - v1.z ) * alpha;
this.w = v1.w + ( v2.w - v1.w ) * alpha;
return this;
}
equals( v ) {
return ( ( v.x === this.x ) && ( v.y === this.y ) && ( v.z === this.z ) && ( v.w === this.w ) );
}
fromArray( array, offset = 0 ) {
this.x = array[ offset ];
this.y = array[ offset + 1 ];
this.z = array[ offset + 2 ];
this.w = array[ offset + 3 ];
return this;
}
toArray( array = [], offset = 0 ) {
array[ offset ] = this.x;
array[ offset + 1 ] = this.y;
array[ offset + 2 ] = this.z;
array[ offset + 3 ] = this.w;
return array;
}
fromBufferAttribute( attribute, index ) {
this.x = attribute.getX( index );
this.y = attribute.getY( index );
this.z = attribute.getZ( index );
this.w = attribute.getW( index );
return this;
}
random() {
this.x = Math.random();
this.y = Math.random();
this.z = Math.random();
this.w = Math.random();
return this;
}
*[ Symbol.iterator ]() {
yield this.x;
yield this.y;
yield this.z;
yield this.w;
}
}
export { Vector4 };

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import { ZeroCurvatureEnding, WrapAroundEnding, ZeroSlopeEnding } from '../../constants.js';
import { Interpolant } from '../Interpolant.js';
/**
* Fast and simple cubic spline interpolant.
*
* It was derived from a Hermitian construction setting the first derivative
* at each sample position to the linear slope between neighboring positions
* over their parameter interval.
*/
class CubicInterpolant extends Interpolant {
constructor( parameterPositions, sampleValues, sampleSize, resultBuffer ) {
super( parameterPositions, sampleValues, sampleSize, resultBuffer );
this._weightPrev = - 0;
this._offsetPrev = - 0;
this._weightNext = - 0;
this._offsetNext = - 0;
this.DefaultSettings_ = {
endingStart: ZeroCurvatureEnding,
endingEnd: ZeroCurvatureEnding
};
}
intervalChanged_( i1, t0, t1 ) {
const pp = this.parameterPositions;
let iPrev = i1 - 2,
iNext = i1 + 1,
tPrev = pp[ iPrev ],
tNext = pp[ iNext ];
if ( tPrev === undefined ) {
switch ( this.getSettings_().endingStart ) {
case ZeroSlopeEnding:
// f'(t0) = 0
iPrev = i1;
tPrev = 2 * t0 - t1;
break;
case WrapAroundEnding:
// use the other end of the curve
iPrev = pp.length - 2;
tPrev = t0 + pp[ iPrev ] - pp[ iPrev + 1 ];
break;
default: // ZeroCurvatureEnding
// f''(t0) = 0 a.k.a. Natural Spline
iPrev = i1;
tPrev = t1;
}
}
if ( tNext === undefined ) {
switch ( this.getSettings_().endingEnd ) {
case ZeroSlopeEnding:
// f'(tN) = 0
iNext = i1;
tNext = 2 * t1 - t0;
break;
case WrapAroundEnding:
// use the other end of the curve
iNext = 1;
tNext = t1 + pp[ 1 ] - pp[ 0 ];
break;
default: // ZeroCurvatureEnding
// f''(tN) = 0, a.k.a. Natural Spline
iNext = i1 - 1;
tNext = t0;
}
}
const halfDt = ( t1 - t0 ) * 0.5,
stride = this.valueSize;
this._weightPrev = halfDt / ( t0 - tPrev );
this._weightNext = halfDt / ( tNext - t1 );
this._offsetPrev = iPrev * stride;
this._offsetNext = iNext * stride;
}
interpolate_( i1, t0, t, t1 ) {
const result = this.resultBuffer,
values = this.sampleValues,
stride = this.valueSize,
o1 = i1 * stride, o0 = o1 - stride,
oP = this._offsetPrev, oN = this._offsetNext,
wP = this._weightPrev, wN = this._weightNext,
p = ( t - t0 ) / ( t1 - t0 ),
pp = p * p,
ppp = pp * p;
// evaluate polynomials
const sP = - wP * ppp + 2 * wP * pp - wP * p;
const s0 = ( 1 + wP ) * ppp + ( - 1.5 - 2 * wP ) * pp + ( - 0.5 + wP ) * p + 1;
const s1 = ( - 1 - wN ) * ppp + ( 1.5 + wN ) * pp + 0.5 * p;
const sN = wN * ppp - wN * pp;
// combine data linearly
for ( let i = 0; i !== stride; ++ i ) {
result[ i ] =
sP * values[ oP + i ] +
s0 * values[ o0 + i ] +
s1 * values[ o1 + i ] +
sN * values[ oN + i ];
}
return result;
}
}
export { CubicInterpolant };

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import { Interpolant } from '../Interpolant.js';
/**
*
* Interpolant that evaluates to the sample value at the position preceding
* the parameter.
*/
class DiscreteInterpolant extends Interpolant {
constructor( parameterPositions, sampleValues, sampleSize, resultBuffer ) {
super( parameterPositions, sampleValues, sampleSize, resultBuffer );
}
interpolate_( i1 /*, t0, t, t1 */ ) {
return this.copySampleValue_( i1 - 1 );
}
}
export { DiscreteInterpolant };

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import { Interpolant } from '../Interpolant.js';
class LinearInterpolant extends Interpolant {
constructor( parameterPositions, sampleValues, sampleSize, resultBuffer ) {
super( parameterPositions, sampleValues, sampleSize, resultBuffer );
}
interpolate_( i1, t0, t, t1 ) {
const result = this.resultBuffer,
values = this.sampleValues,
stride = this.valueSize,
offset1 = i1 * stride,
offset0 = offset1 - stride,
weight1 = ( t - t0 ) / ( t1 - t0 ),
weight0 = 1 - weight1;
for ( let i = 0; i !== stride; ++ i ) {
result[ i ] =
values[ offset0 + i ] * weight0 +
values[ offset1 + i ] * weight1;
}
return result;
}
}
export { LinearInterpolant };

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import { Interpolant } from '../Interpolant.js';
import { Quaternion } from '../Quaternion.js';
/**
* Spherical linear unit quaternion interpolant.
*/
class QuaternionLinearInterpolant extends Interpolant {
constructor( parameterPositions, sampleValues, sampleSize, resultBuffer ) {
super( parameterPositions, sampleValues, sampleSize, resultBuffer );
}
interpolate_( i1, t0, t, t1 ) {
const result = this.resultBuffer,
values = this.sampleValues,
stride = this.valueSize,
alpha = ( t - t0 ) / ( t1 - t0 );
let offset = i1 * stride;
for ( let end = offset + stride; offset !== end; offset += 4 ) {
Quaternion.slerpFlat( result, 0, values, offset - stride, values, offset, alpha );
}
return result;
}
}
export { QuaternionLinearInterpolant };