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/**
* @author mrdoob / http://mrdoob.com/
*/
THREE.BufferGeometryUtils = {
computeTangents: function ( geometry ) {
var index = geometry.index;
var attributes = geometry.attributes;
// based on http://www.terathon.com/code/tangent.html
// (per vertex tangents)
if ( index === null ||
attributes.position === undefined ||
attributes.normal === undefined ||
attributes.uv === undefined ) {
console.warn( 'THREE.BufferGeometry: Missing required attributes (index, position, normal or uv) in BufferGeometry.computeTangents()' );
return;
}
var indices = index.array;
var positions = attributes.position.array;
var normals = attributes.normal.array;
var uvs = attributes.uv.array;
var nVertices = positions.length / 3;
if ( attributes.tangent === undefined ) {
geometry.addAttribute( 'tangent', new THREE.BufferAttribute( new Float32Array( 4 * nVertices ), 4 ) );
}
var tangents = attributes.tangent.array;
var tan1 = [], tan2 = [];
for ( var k = 0; k < nVertices; k ++ ) {
tan1[ k ] = new THREE.Vector3();
tan2[ k ] = new THREE.Vector3();
}
var vA = new THREE.Vector3(),
vB = new THREE.Vector3(),
vC = new THREE.Vector3(),
uvA = new THREE.Vector2(),
uvB = new THREE.Vector2(),
uvC = new THREE.Vector2(),
sdir = new THREE.Vector3(),
tdir = new THREE.Vector3();
function handleTriangle( a, b, c ) {
vA.fromArray( positions, a * 3 );
vB.fromArray( positions, b * 3 );
vC.fromArray( positions, c * 3 );
uvA.fromArray( uvs, a * 2 );
uvB.fromArray( uvs, b * 2 );
uvC.fromArray( uvs, c * 2 );
var x1 = vB.x - vA.x;
var x2 = vC.x - vA.x;
var y1 = vB.y - vA.y;
var y2 = vC.y - vA.y;
var z1 = vB.z - vA.z;
var z2 = vC.z - vA.z;
var s1 = uvB.x - uvA.x;
var s2 = uvC.x - uvA.x;
var t1 = uvB.y - uvA.y;
var t2 = uvC.y - uvA.y;
var r = 1.0 / ( s1 * t2 - s2 * t1 );
sdir.set(
( t2 * x1 - t1 * x2 ) * r,
( t2 * y1 - t1 * y2 ) * r,
( t2 * z1 - t1 * z2 ) * r
);
tdir.set(
( s1 * x2 - s2 * x1 ) * r,
( s1 * y2 - s2 * y1 ) * r,
( s1 * z2 - s2 * z1 ) * r
);
tan1[ a ].add( sdir );
tan1[ b ].add( sdir );
tan1[ c ].add( sdir );
tan2[ a ].add( tdir );
tan2[ b ].add( tdir );
tan2[ c ].add( tdir );
}
var groups = geometry.groups;
if ( groups.length === 0 ) {
groups = [ {
start: 0,
count: indices.length
} ];
}
for ( var j = 0, jl = groups.length; j < jl; ++ j ) {
var group = groups[ j ];
var start = group.start;
var count = group.count;
for ( var i = start, il = start + count; i < il; i += 3 ) {
handleTriangle(
indices[ i + 0 ],
indices[ i + 1 ],
indices[ i + 2 ]
);
}
}
var tmp = new THREE.Vector3(), tmp2 = new THREE.Vector3();
var n = new THREE.Vector3(), n2 = new THREE.Vector3();
var w, t, test;
function handleVertex( v ) {
n.fromArray( normals, v * 3 );
n2.copy( n );
t = tan1[ v ];
// Gram-Schmidt orthogonalize
tmp.copy( t );
tmp.sub( n.multiplyScalar( n.dot( t ) ) ).normalize();
// Calculate handedness
tmp2.crossVectors( n2, t );
test = tmp2.dot( tan2[ v ] );
w = ( test < 0.0 ) ? - 1.0 : 1.0;
tangents[ v * 4 ] = tmp.x;
tangents[ v * 4 + 1 ] = tmp.y;
tangents[ v * 4 + 2 ] = tmp.z;
tangents[ v * 4 + 3 ] = w;
}
for ( var j = 0, jl = groups.length; j < jl; ++ j ) {
var group = groups[ j ];
var start = group.start;
var count = group.count;
for ( var i = start, il = start + count; i < il; i += 3 ) {
handleVertex( indices[ i + 0 ] );
handleVertex( indices[ i + 1 ] );
handleVertex( indices[ i + 2 ] );
}
}
}
};