three.js/test/unit/src/core/BufferGeometry.tests.js

/**
 * @author simonThiele / https://github.com/simonThiele
 * @author TristanVALCKE / https://github.com/Itee
 */
/* global QUnit */

import { BufferGeometry } from '../../../../src/core/BufferGeometry';
import {
	BufferAttribute,
	Uint16BufferAttribute,
	Uint32BufferAttribute
} from '../../../../src/core/BufferAttribute';
import { Color } from '../../../../src/math/Color';
import { Vector2 } from '../../../../src/math/Vector2';
import { Vector3 } from '../../../../src/math/Vector3';
import { Vector4 } from '../../../../src/math/Vector4';
import { Matrix4 } from '../../../../src/math/Matrix4';
import { Sphere } from '../../../../src/math/Sphere';
import { Geometry } from '../../../../src/core/Geometry';
import { Face3 } from '../../../../src/core/Face3';
import { Mesh } from '../../../../src/objects/Mesh';
import { Line } from '../../../../src/objects/Line.js';
import {
	x,
	y,
	z
} from '../math/Constants.tests';

var DegToRad = Math.PI / 180;

function bufferAttributeEquals( a, b, tolerance ) {

	tolerance = tolerance || 0.0001;

	if ( a.count !== b.count || a.itemSize !== b.itemSize ) {

		return false;

	}

	for ( var i = 0, il = a.count * a.itemSize; i < il; i ++ ) {

		var delta = a[ i ] - b[ i ];
		if ( delta > tolerance ) {

			return false;

		}

	}

	return true;

}

function getBBForVertices( vertices ) {

	var geometry = new BufferGeometry();

	geometry.setAttribute( "position", new BufferAttribute( new Float32Array( vertices ), 3 ) );
	geometry.computeBoundingBox();

	return geometry.boundingBox;

}

function getBSForVertices( vertices ) {

	var geometry = new BufferGeometry();

	geometry.setAttribute( "position", new BufferAttribute( new Float32Array( vertices ), 3 ) );
	geometry.computeBoundingSphere();

	return geometry.boundingSphere;

}

function getNormalsForVertices( vertices, assert ) {

	var geometry = new BufferGeometry();

	geometry.setAttribute( "position", new BufferAttribute( new Float32Array( vertices ), 3 ) );

	geometry.computeVertexNormals();

	assert.ok( geometry.attributes.normal !== undefined, "normal attribute was created" );

	return geometry.attributes.normal.array;

}

function comparePositions( pos, v ) {

	return (
		pos[ 0 ] === v[ 0 ].x && pos[ 1 ] === v[ 0 ].y && pos[ 2 ] === v[ 0 ].z &&
		pos[ 3 ] === v[ 1 ].x && pos[ 4 ] === v[ 1 ].y && pos[ 5 ] === v[ 1 ].z &&
		pos[ 6 ] === v[ 2 ].x && pos[ 7 ] === v[ 2 ].y && pos[ 8 ] === v[ 2 ].z
	);

}

function compareColors( col, c ) {

	return (
		col[ 0 ] === c[ 0 ].r && col[ 1 ] === c[ 0 ].g && col[ 2 ] === c[ 0 ].b &&
		col[ 3 ] === c[ 1 ].r && col[ 4 ] === c[ 1 ].g && col[ 5 ] === c[ 1 ].b &&
		col[ 6 ] === c[ 2 ].r && col[ 7 ] === c[ 2 ].g && col[ 8 ] === c[ 2 ].b
	);

}

function compareUvs( uvs, u ) {

	return (
		uvs[ 0 ] === u[ 0 ].x && uvs[ 1 ] === u[ 0 ].y &&
		uvs[ 2 ] === u[ 1 ].x && uvs[ 3 ] === u[ 1 ].y &&
		uvs[ 4 ] === u[ 2 ].x && uvs[ 5 ] === u[ 2 ].y
	);

}

export default QUnit.module( 'Core', () => {

	QUnit.module( 'BufferGeometry', () => {

		// INHERITANCE
		QUnit.todo( "Extending", ( assert ) => {

			assert.ok( false, "everything's gonna be alright" );

		} );

		// INSTANCING
		QUnit.todo( "Instancing", ( assert ) => {

			assert.ok( false, "everything's gonna be alright" );

		} );

		// PUBLIC STUFF
		QUnit.todo( "isBufferGeometry", ( assert ) => {

			assert.ok( false, "everything's gonna be alright" );

		} );

		QUnit.test( "setIndex/getIndex", ( assert ) => {

			var a = new BufferGeometry();
			var uint16 = [ 1, 2, 3 ];
			var uint32 = [ 65535, 65536, 65537 ];
			var str = "foo";

			a.setIndex( uint16 );
			assert.ok( a.getIndex() instanceof Uint16BufferAttribute, "Index has the right type" );
			assert.deepEqual( a.getIndex().array, new Uint16Array( uint16 ), "Small index gets stored correctly" );

			a.setIndex( uint32 );
			assert.ok( a.getIndex() instanceof Uint32BufferAttribute, "Index has the right type" );
			assert.deepEqual( a.getIndex().array, new Uint32Array( uint32 ), "Large index gets stored correctly" );

			a.setIndex( str );
			assert.strictEqual( a.getIndex(), str, "Weird index gets stored correctly" );

		} );

		QUnit.todo( "getAttribute", ( assert ) => {

			assert.ok( false, "everything's gonna be alright" );

		} );

		QUnit.test( "set / delete Attribute", ( assert ) => {

			var geometry = new BufferGeometry();
			var attributeName = "position";

			assert.ok( geometry.attributes[ attributeName ] === undefined, 'no attribute defined' );

			geometry.setAttribute( attributeName, new BufferAttribute( new Float32Array( [ 1, 2, 3 ], 1 ) ) );

			assert.ok( geometry.attributes[ attributeName ] !== undefined, 'attribute is defined' );

			geometry.deleteAttribute( attributeName );

			assert.ok( geometry.attributes[ attributeName ] === undefined, 'no attribute defined' );

		} );

		QUnit.test( "addGroup", ( assert ) => {

			var a = new BufferGeometry();
			var expected = [
				{
					start: 0,
					count: 1,
					materialIndex: 0
				},
				{
					start: 1,
					count: 2,
					materialIndex: 2
				}
			];

			a.addGroup( 0, 1, 0 );
			a.addGroup( 1, 2, 2 );

			assert.deepEqual( a.groups, expected, "Check groups were stored correctly and in order" );

			a.clearGroups();
			assert.strictEqual( a.groups.length, 0, "Check groups were deleted correctly" );

		} );
		QUnit.todo( "clearGroups", ( assert ) => {

			assert.ok( false, "everything's gonna be alright" );

		} );

		QUnit.test( "setDrawRange", ( assert ) => {

			var a = new BufferGeometry();

			a.setDrawRange( 1.0, 7 );

			assert.deepEqual( a.drawRange, {
				start: 1,
				count: 7
			}, "Check draw range was stored correctly" );

		} );

		QUnit.test( "applyMatrix4", ( assert ) => {

			var geometry = new BufferGeometry();
			geometry.setAttribute( "position", new BufferAttribute( new Float32Array( 6 ), 3 ) );

			var matrix = new Matrix4().set(
				1, 0, 0, 1.5,
				0, 1, 0, - 2,
				0, 0, 1, 3,
				0, 0, 0, 1
			);
			geometry.applyMatrix4( matrix );

			var position = geometry.attributes.position.array;
			var m = matrix.elements;
			assert.ok( position[ 0 ] === m[ 12 ] && position[ 1 ] === m[ 13 ] && position[ 2 ] === m[ 14 ], "position was extracted from matrix" );
			assert.ok( position[ 3 ] === m[ 12 ] && position[ 4 ] === m[ 13 ] && position[ 5 ] === m[ 14 ], "position was extracted from matrix twice" );
			assert.ok( geometry.attributes.position.version === 1, "version was increased during update" );

		} );

		QUnit.test( "rotateX/Y/Z", ( assert ) => {

			var geometry = new BufferGeometry();
			geometry.setAttribute( "position", new BufferAttribute( new Float32Array( [ 1, 2, 3, 4, 5, 6 ] ), 3 ) );

			var pos = geometry.attributes.position.array;

			geometry.rotateX( 180 * DegToRad );

			// object was rotated around x so all items should be flipped but the x ones
			assert.ok( pos[ 0 ] === 1 && pos[ 1 ] === - 2 && pos[ 2 ] === - 3 &&
				pos[ 3 ] === 4 && pos[ 4 ] === - 5 && pos[ 5 ] === - 6, "vertices were rotated around x by 180 degrees" );

			geometry.rotateY( 180 * DegToRad );

			// vertices were rotated around y so all items should be flipped again but the y ones
			assert.ok( pos[ 0 ] === - 1 && pos[ 1 ] === - 2 && pos[ 2 ] === 3 &&
				pos[ 3 ] === - 4 && pos[ 4 ] === - 5 && pos[ 5 ] === 6, "vertices were rotated around y by 180 degrees" );

			geometry.rotateZ( 180 * DegToRad );

			// vertices were rotated around z so all items should be flipped again but the z ones
			assert.ok( pos[ 0 ] === 1 && pos[ 1 ] === 2 && pos[ 2 ] === 3 &&
				pos[ 3 ] === 4 && pos[ 4 ] === 5 && pos[ 5 ] === 6, "vertices were rotated around z by 180 degrees" );

		} );

		QUnit.test( "translate", ( assert ) => {

			var geometry = new BufferGeometry();
			geometry.setAttribute( "position", new BufferAttribute( new Float32Array( [ 1, 2, 3, 4, 5, 6 ] ), 3 ) );

			var pos = geometry.attributes.position.array;

			geometry.translate( 10, 20, 30 );

			assert.ok( pos[ 0 ] === 11 && pos[ 1 ] === 22 && pos[ 2 ] === 33 &&
				pos[ 3 ] === 14 && pos[ 4 ] === 25 && pos[ 5 ] === 36, "vertices were translated" );

		} );

		QUnit.test( "scale", ( assert ) => {

			var geometry = new BufferGeometry();
			geometry.setAttribute( "position", new BufferAttribute( new Float32Array( [ - 1, - 1, - 1, 2, 2, 2 ] ), 3 ) );

			var pos = geometry.attributes.position.array;

			geometry.scale( 1, 2, 3 );

			assert.ok( pos[ 0 ] === - 1 && pos[ 1 ] === - 2 && pos[ 2 ] === - 3 &&
				pos[ 3 ] === 2 && pos[ 4 ] === 4 && pos[ 5 ] === 6, "vertices were scaled" );

		} );

		QUnit.test( "lookAt", ( assert ) => {

			var a = new BufferGeometry();
			var vertices = new Float32Array( [
				- 1.0, - 1.0, 1.0,
				1.0, - 1.0, 1.0,
				1.0, 1.0, 1.0,

				1.0, 1.0, 1.0,
				- 1.0, 1.0, 1.0,
				- 1.0, - 1.0, 1.0
			] );
			a.setAttribute( 'position', new BufferAttribute( vertices, 3 ) );

			var sqrt = Math.sqrt( 2 );
			var expected = new Float32Array( [
				1, 0, - sqrt,
				- 1, 0, - sqrt,
				- 1, sqrt, 0,

				- 1, sqrt, 0,
				1, sqrt, 0,
				1, 0, - sqrt
			] );

			a.lookAt( new Vector3( 0, 1, - 1 ) );

			assert.ok( bufferAttributeEquals( a.attributes.position.array, expected ), "Rotation is correct" );

		} );

		QUnit.test( "center", ( assert ) => {

			var geometry = new BufferGeometry();
			geometry.setAttribute( "position", new BufferAttribute( new Float32Array( [
				- 1, - 1, - 1,
				1, 1, 1,
				4, 4, 4
			] ), 3 ) );

			geometry.center();

			var pos = geometry.attributes.position.array;

			// the boundingBox should go from (-1, -1, -1) to (4, 4, 4) so it has a size of (5, 5, 5)
			// after centering it the vertices should be placed between (-2.5, -2.5, -2.5) and (2.5, 2.5, 2.5)
			assert.ok( pos[ 0 ] === - 2.5 && pos[ 1 ] === - 2.5 && pos[ 2 ] === - 2.5 &&
				pos[ 3 ] === - 0.5 && pos[ 4 ] === - 0.5 && pos[ 5 ] === - 0.5 &&
				pos[ 6 ] === 2.5 && pos[ 7 ] === 2.5 && pos[ 8 ] === 2.5, "vertices were replaced by boundingBox dimensions" );

		} );

		QUnit.test( "setFromObject", ( assert ) => {

			var lineGeo = new Geometry();
			lineGeo.vertices.push(
				new Vector3( - 10, 0, 0 ),
				new Vector3( 0, 10, 0 ),
				new Vector3( 10, 0, 0 )
			);

			lineGeo.colors.push(
				new Color( 1, 0, 0 ),
				new Color( 0, 1, 0 ),
				new Color( 0, 0, 1 )
			);

			var line = new Line( lineGeo, null );
			var geometry = new BufferGeometry().setFromObject( line );

			var pos = geometry.attributes.position.array;
			var col = geometry.attributes.color.array;
			var v = lineGeo.vertices;
			var c = lineGeo.colors;

			assert.ok(
				// position exists
				pos !== undefined &&

				// vertex arrays have the same size
				v.length * 3 === pos.length &&

				// there are three complete vertices (each vertex contains three values)
				geometry.attributes.position.count === 3 &&

				// check if both arrays contains the same data
				pos[ 0 ] === v[ 0 ].x && pos[ 1 ] === v[ 0 ].y && pos[ 2 ] === v[ 0 ].z &&
				pos[ 3 ] === v[ 1 ].x && pos[ 4 ] === v[ 1 ].y && pos[ 5 ] === v[ 1 ].z &&
				pos[ 6 ] === v[ 2 ].x && pos[ 7 ] === v[ 2 ].y && pos[ 8 ] === v[ 2 ].z
				, "positions are equal" );

			assert.ok(
				// color exists
				col !== undefined &&

				// color arrays have the same size
				c.length * 3 === col.length &&

				// there are three complete colors (each color contains three values)
				geometry.attributes.color.count === 3 &&

				// check if both arrays contains the same data
				col[ 0 ] === c[ 0 ].r && col[ 1 ] === c[ 0 ].g && col[ 2 ] === c[ 0 ].b &&
				col[ 3 ] === c[ 1 ].r && col[ 4 ] === c[ 1 ].g && col[ 5 ] === c[ 1 ].b &&
				col[ 6 ] === c[ 2 ].r && col[ 7 ] === c[ 2 ].g && col[ 8 ] === c[ 2 ].b
				, "colors are equal" );

		} );
		QUnit.test( "setFromObject (more)", ( assert ) => {

			var lineGeo = new Geometry();
			lineGeo.vertices.push(
				new Vector3( - 10, 0, 0 ),
				new Vector3( 0, 10, 0 ),
				new Vector3( 10, 0, 0 )
			);

			lineGeo.colors.push(
				new Color( 1, 0, 0 ),
				new Color( 0, 1, 0 ),
				new Color( 0, 0, 1 )
			);

			lineGeo.computeBoundingBox();
			lineGeo.computeBoundingSphere();

			var line = new Line( lineGeo );
			var geometry = new BufferGeometry().setFromObject( line );

			assert.ok( geometry.boundingBox.equals( lineGeo.boundingBox ), "BoundingBox was set correctly" );
			assert.ok( geometry.boundingSphere.equals( lineGeo.boundingSphere ), "BoundingSphere was set correctly" );

			var pos = geometry.attributes.position.array;
			var col = geometry.attributes.color.array;
			var v = lineGeo.vertices;
			var c = lineGeo.colors;

			// adapted from setFromObject QUnit.test (way up)
			assert.notStrictEqual( pos, undefined, "Position attribute exists" );
			assert.strictEqual( v.length * 3, pos.length, "Vertex arrays have the same size" );
			assert.strictEqual( geometry.attributes.position.count, 3, "Correct number of vertices" );
			assert.ok( comparePositions( pos, v ), "Positions are identical" );

			assert.notStrictEqual( col, undefined, "Color attribute exists" );
			assert.strictEqual( c.length * 3, col.length, "Color arrays have the same size" );
			assert.strictEqual( geometry.attributes.color.count, 3, "Correct number of colors" );
			assert.ok( compareColors( col, c ), "Colors are identical" );

			// setFromObject with a Mesh as object
			lineGeo.faces.push( new Face3( 0, 1, 2 ) );
			var lineMesh = new Mesh( lineGeo );
			var geometry = new BufferGeometry().setFromObject( lineMesh );

			// no colors
			var pos = geometry.attributes.position.array;
			var v = lineGeo.vertices;

			assert.notStrictEqual( pos, undefined, "Mesh: position attribute exists" );
			assert.strictEqual( v.length * 3, pos.length, "Mesh: vertex arrays have the same size" );
			assert.strictEqual( geometry.attributes.position.count, 3, "Mesh: correct number of vertices" );
			assert.ok( comparePositions( pos, v ), "Mesh: positions are identical" );

		} );

		QUnit.test( "updateFromObject", ( assert ) => {

			var geo = new Geometry();

			geo.vertices.push(
				new Vector3( - 10, 0, 0 ),
				new Vector3( 0, 10, 0 ),
				new Vector3( 10, 0, 0 )
			);

			geo.faces.push( new Face3( 0, 1, 2 ) );

			geo.faces[ 0 ].vertexColors.push(
				new Color( 1, 0, 0 ),
				new Color( 0, 1, 0 ),
				new Color( 0, 0, 1 )
			);

			geo.faceVertexUvs[ 0 ] = [
				[
					new Vector2( 0, 0 ),
					new Vector2( 1, 0 ),
					new Vector2( 1, 1 )
				]
			];

			geo.computeFaceNormals();
			geo.computeVertexNormals();

			geo.verticesNeedUpdate = true;
			geo.normalsNeedUpdate = true;
			geo.colorsNeedUpdate = true;
			geo.uvsNeedUpdate = true;
			geo.groupsNeedUpdate = true;

			var mesh = new Mesh( geo );
			var geometry = new BufferGeometry();

			geometry.updateFromObject( mesh ); // first call to create the underlying structure (DirectGeometry)
			geometry.updateFromObject( mesh ); // second time to actually go thru the motions and update

			var pos = geometry.attributes.position.array;
			var col = geometry.attributes.color.array;
			var norm = geometry.attributes.normal.array;
			var uvs = geometry.attributes.uv.array;
			var v = geo.vertices;
			var c = geo.faces[ 0 ].vertexColors;
			var n = geo.faces[ 0 ].vertexNormals;
			var u = geo.faceVertexUvs[ 0 ][ 0 ];

			assert.notStrictEqual( pos, undefined, "Position attribute exists" );
			assert.strictEqual( v.length * 3, pos.length, "Both arrays have the same size" );
			assert.strictEqual( geometry.attributes.position.count, v.length, "Correct number of vertices" );
			assert.ok( comparePositions( pos, v ), "Positions are identical" );

			assert.notStrictEqual( col, undefined, "Color attribute exists" );
			assert.strictEqual( c.length * 3, col.length, "Both arrays have the same size" );
			assert.strictEqual( geometry.attributes.color.count, c.length, "Correct number of colors" );
			assert.ok( compareColors( col, c ), "Colors are identical" );

			assert.notStrictEqual( norm, undefined, "Normal attribute exists" );
			assert.strictEqual( n.length * 3, norm.length, "Both arrays have the same size" );
			assert.strictEqual( geometry.attributes.normal.count, n.length, "Correct number of normals" );
			assert.ok( comparePositions( norm, n ), "Normals are identical" );

			assert.notStrictEqual( uvs, undefined, "UV attribute exists" );
			assert.strictEqual( u.length * 2, uvs.length, "Both arrays have the same size" );
			assert.strictEqual( geometry.attributes.uv.count, u.length, "Correct number of UV coordinates" );
			assert.ok( compareUvs( uvs, u ), "UVs are identical" );

		} );

		QUnit.test( "fromGeometry/fromDirectGeometry", ( assert ) => {

			// geometry definition

			var geometry = new Geometry();

			// vertices

			var v1 = new Vector3( 1, - 1, 0 );
			var v2 = new Vector3( 1, 1, 0 );
			var v3 = new Vector3( - 1, 1, 0 );
			var v4 = new Vector3( - 1, - 1, 0 );

			// faces, normals and colors

			geometry.vertices.push( v1, v2, v3, v4 );

			var f1 = new Face3( 0, 1, 2 );
			f1.normal.set( 0, 0, 1 );
			f1.color.set( 0xff0000 );
			var f2 = new Face3( 2, 3, 0 );
			f2.normal.set( 0, 0, 1 );
			f2.color.set( 0xff0000 );

			geometry.faces.push( f1, f2 );

			// uvs

			var uvs = geometry.faceVertexUvs[ 0 ];
			uvs.length = 0;

			uvs.push( [
				new Vector2( 1, 0 ),
			  new Vector2( 1, 1 ),
			  new Vector2( 0, 1 )
			] );

			uvs.push( [
				new Vector2( 0, 1 ),
			  new Vector2( 0, 0 ),
			  new Vector2( 1, 0 )
			] );

			// skin weights

			var sw1 = new Vector4( 0.8, 0.2, 0, 0 );
			var sw2 = new Vector4( 0.7, 0.2, 0.1, 0 );
			var sw3 = new Vector4( 0.8, 0.1, 0.1, 0 );
			var sw4 = new Vector4( 1, 0, 0, 0 );

			geometry.skinWeights.push( sw1, sw2, sw3, sw4 );

			 // skin indices

			var si1 = new Vector4( 0, 1, 2, 3 );
			var si2 = new Vector4( 2, 3, 4, 5 );
			var si3 = new Vector4( 4, 5, 6, 7 );
			var si4 = new Vector4( 6, 7, 8, 9 );

			geometry.skinIndices.push( si1, si2, si3, si4 );

			// create BufferGeometry

			var bufferGeometry = new BufferGeometry().fromGeometry( geometry );

			// expected values

			var vertices = new Float32Array( [ 1, - 1, 0, 1, 1, 0, - 1, 1, 0, - 1, 1, 0, - 1, - 1, 0, 1, - 1, 0 ] );
			var normals = new Float32Array( [ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1 ] );
			var colors = new Float32Array( [ 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0 ] );
			var uvs = new Float32Array( [ 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0 ] );
			var skinIndices = new Float32Array( [ 0, 1, 2, 3, 2, 3, 4, 5, 4, 5, 6, 7, 4, 5, 6, 7, 6, 7, 8, 9, 0, 1, 2, 3 ] );
			var skindWeights = new Float32Array( [
				0.8, 0.2, 0, 0, 0.7, 0.2, 0.1, 0, 0.8, 0.1, 0.1, 0,
				0.8, 0.1, 0.1, 0, 1, 0, 0, 0, 0.8, 0.2, 0, 0
			] );

			var attributes = bufferGeometry.attributes;

			assert.deepEqual( attributes.position.array, vertices, "Vertices are as expected" );
			assert.deepEqual( attributes.normal.array, normals, "Normals are as expected" );
			assert.deepEqual( attributes.color.array, colors, "Colors are as expected" );
			assert.deepEqual( attributes.uv.array, uvs, "Texture coordinates are as expected" );
			assert.deepEqual( attributes.skinIndex.array, skinIndices, "Skin indices are as expected" );
			assert.deepEqual( attributes.skinWeight.array, skindWeights, "Skin weights are as expected" );

		} );

		QUnit.test( "computeBoundingBox", ( assert ) => {

			var bb = getBBForVertices( [ - 1, - 2, - 3, 13, - 2, - 3.5, - 1, - 20, 0, - 4, 5, 6 ] );

			assert.ok( bb.min.x === - 4 && bb.min.y === - 20 && bb.min.z === - 3.5, "min values are set correctly" );
			assert.ok( bb.max.x === 13 && bb.max.y === 5 && bb.max.z === 6, "max values are set correctly" );

			var bb = getBBForVertices( [ - 1, - 1, - 1 ] );

			assert.ok( bb.min.x === bb.max.x && bb.min.y === bb.max.y && bb.min.z === bb.max.z, "since there is only one vertex, max and min are equal" );
			assert.ok( bb.min.x === - 1 && bb.min.y === - 1 && bb.min.z === - 1, "since there is only one vertex, min and max are this vertex" );

		} );

		QUnit.test( "computeBoundingSphere", ( assert ) => {

			var bs = getBSForVertices( [ - 10, 0, 0, 10, 0, 0 ] );

			assert.ok( bs.radius === ( 10 + 10 ) / 2, "radius is equal to deltaMinMax / 2" );
			assert.ok( bs.center.x === 0 && bs.center.y === 0 && bs.center.y === 0, "bounding sphere is at ( 0, 0, 0 )" );

			var bs = getBSForVertices( [ - 5, 11, - 3, 5, - 11, 3 ] );
			var radius = new Vector3( 5, 11, 3 ).length();

			assert.ok( bs.radius === radius, "radius is equal to directionLength" );
			assert.ok( bs.center.x === 0 && bs.center.y === 0 && bs.center.y === 0, "bounding sphere is at ( 0, 0, 0 )" );

		} );

		QUnit.todo( "computeFaceNormals", ( assert ) => {

			assert.ok( false, "everything's gonna be alright" );

		} );

		QUnit.test( "computeVertexNormals", ( assert ) => {

			// get normals for a counter clockwise created triangle
			var normals = getNormalsForVertices( [ - 1, 0, 0, 1, 0, 0, 0, 1, 0 ], assert );

			assert.ok( normals[ 0 ] === 0 && normals[ 1 ] === 0 && normals[ 2 ] === 1,
				"first normal is pointing to screen since the the triangle was created counter clockwise" );

			assert.ok( normals[ 3 ] === 0 && normals[ 4 ] === 0 && normals[ 5 ] === 1,
				"second normal is pointing to screen since the the triangle was created counter clockwise" );

			assert.ok( normals[ 6 ] === 0 && normals[ 7 ] === 0 && normals[ 8 ] === 1,
				"third normal is pointing to screen since the the triangle was created counter clockwise" );

			// get normals for a clockwise created triangle
			var normals = getNormalsForVertices( [ 1, 0, 0, - 1, 0, 0, 0, 1, 0 ], assert );

			assert.ok( normals[ 0 ] === 0 && normals[ 1 ] === 0 && normals[ 2 ] === - 1,
				"first normal is pointing to screen since the the triangle was created clockwise" );

			assert.ok( normals[ 3 ] === 0 && normals[ 4 ] === 0 && normals[ 5 ] === - 1,
				"second normal is pointing to screen since the the triangle was created clockwise" );

			assert.ok( normals[ 6 ] === 0 && normals[ 7 ] === 0 && normals[ 8 ] === - 1,
				"third normal is pointing to screen since the the triangle was created clockwise" );

			var normals = getNormalsForVertices( [ 0, 0, 1, 0, 0, - 1, 1, 1, 0 ], assert );

			// the triangle is rotated by 45 degrees to the right so the normals of the three vertices
			// should point to (1, -1, 0).normalized(). The simplest solution is to check against a normalized
			// vector (1, -1, 0) but you will get calculation errors because of floating calculations so another
			// valid technique is to create a vector which stands in 90 degrees to the normals and calculate the
			// dot product which is the cos of the angle between them. This should be < floating calculation error
			// which can be taken from Number.EPSILON
			var direction = new Vector3( 1, 1, 0 ).normalize(); // a vector which should have 90 degrees difference to normals
			var difference = direction.dot( new Vector3( normals[ 0 ], normals[ 1 ], normals[ 2 ] ) );
			assert.ok( difference < Number.EPSILON, "normal is equal to reference vector" );

			// get normals for a line should be NAN because you need min a triangle to calculate normals
			var normals = getNormalsForVertices( [ 1, 0, 0, - 1, 0, 0 ], assert );
			for ( var i = 0; i < normals.length; i ++ ) {

				assert.ok( ! normals[ i ], "normals can't be calculated which is good" );

			}

		} );
		QUnit.test( "computeVertexNormals (indexed)", ( assert ) => {

			var sqrt = 0.5 * Math.sqrt( 2 );
			var normal = new BufferAttribute( new Float32Array( [
				- 1, 0, 0, - 1, 0, 0, - 1, 0, 0,
				sqrt, sqrt, 0, sqrt, sqrt, 0, sqrt, sqrt, 0,
				- 1, 0, 0
			] ), 3 );
			var position = new BufferAttribute( new Float32Array( [
				0.5, 0.5, 0.5, 0.5, 0.5, - 0.5, 0.5, - 0.5, 0.5,
				0.5, - 0.5, - 0.5, - 0.5, 0.5, - 0.5, - 0.5, 0.5, 0.5,
				- 0.5, - 0.5, - 0.5
			] ), 3 );
			var index = new BufferAttribute( new Uint16Array( [
				0, 2, 1, 2, 3, 1, 4, 6, 5, 6, 7, 5
			] ), 1 );

			var a = new BufferGeometry();
			a.setAttribute( "position", position );
			a.computeVertexNormals();
			assert.ok(
				bufferAttributeEquals( normal, a.getAttribute( "normal" ) ),
				"Regular geometry: first computed normals are correct"
			);

			// a second time to see if the existing normals get properly deleted
			a.computeVertexNormals();
			assert.ok(
				bufferAttributeEquals( normal, a.getAttribute( "normal" ) ),
				"Regular geometry: second computed normals are correct"
			);

			// indexed geometry
			var a = new BufferGeometry();
			a.setAttribute( "position", position );
			a.setIndex( index );
			a.computeVertexNormals();
			assert.ok( bufferAttributeEquals( normal, a.getAttribute( "normal" ) ), "Indexed geometry: computed normals are correct" );

		} );

		QUnit.test( "merge", ( assert ) => {

			var geometry1 = new BufferGeometry();
			geometry1.setAttribute( "attrName", new BufferAttribute( new Float32Array( [ 1, 2, 3, 0, 0, 0 ] ), 3 ) );

			var geometry2 = new BufferGeometry();
			geometry2.setAttribute( "attrName", new BufferAttribute( new Float32Array( [ 4, 5, 6 ] ), 3 ) );

			var attr = geometry1.attributes.attrName.array;

			geometry1.merge( geometry2, 1 );

			// merged array should be 1, 2, 3, 4, 5, 6
			for ( var i = 0; i < attr.length; i ++ ) {

				assert.ok( attr[ i ] === i + 1, "" );

			}

			geometry1.merge( geometry2 );
			assert.ok( attr[ 0 ] === 4 && attr[ 1 ] === 5 && attr[ 2 ] === 6, "copied the 3 attributes without offset" );

		} );

		QUnit.todo( "normalizeNormals", ( assert ) => {

			assert.ok( false, "everything's gonna be alright" );

		} );

		QUnit.test( "toNonIndexed", ( assert ) => {

			var geometry = new BufferGeometry();
			var vertices = new Float32Array( [
				0.5, 0.5, 0.5, 0.5, 0.5, - 0.5, 0.5, - 0.5, 0.5, 0.5, - 0.5, - 0.5
			] );
			var index = new BufferAttribute( new Uint16Array( [ 0, 2, 1, 2, 3, 1 ] ) );
			var expected = new Float32Array( [
				0.5, 0.5, 0.5, 0.5, - 0.5, 0.5, 0.5, 0.5, - 0.5,
				0.5, - 0.5, 0.5, 0.5, - 0.5, - 0.5, 0.5, 0.5, - 0.5
			] );

			geometry.setAttribute( 'position', new BufferAttribute( vertices, 3 ) );
			geometry.setIndex( index );

			var nonIndexed = geometry.toNonIndexed();

			assert.deepEqual( nonIndexed.getAttribute( "position" ).array, expected, "Expected vertices" );

		} );

		QUnit.test( "toJSON", ( assert ) => {

			var index = new BufferAttribute( new Uint16Array( [ 0, 1, 2, 3 ] ), 1 );
			var attribute1 = new BufferAttribute( new Uint16Array( [ 1, 3, 5, 7 ] ), 1 );
			attribute1.name = "attribute1";
			var a = new BufferGeometry();
			a.name = "JSONQUnit.test";
			// a.parameters = { "placeholder": 0 };
			a.setAttribute( "attribute1", attribute1 );
			a.setIndex( index );
			a.addGroup( 0, 1, 2 );
			a.boundingSphere = new Sphere( new Vector3( x, y, z ), 0.5 );
			var j = a.toJSON();
			var gold = {
				"metadata": {
					"version": 4.5,
					"type": "BufferGeometry",
					"generator": "BufferGeometry.toJSON"
				},
				"uuid": a.uuid,
				"type": "BufferGeometry",
				"name": "JSONQUnit.test",
				"data": {
					"attributes": {
						"attribute1": {
							"itemSize": 1,
							"type": "Uint16Array",
							"array": [ 1, 3, 5, 7 ],
							"normalized": false,
							"name": "attribute1"
						}
					},
					"index": {
						"type": "Uint16Array",
						"array": [ 0, 1, 2, 3 ]
					},
					"groups": [
						{
							"start": 0,
							"count": 1,
							"materialIndex": 2
						}
					],
					"boundingSphere": {
						"center": [ 2, 3, 4 ],
						"radius": 0.5
					}
				}
			};

			assert.deepEqual( j, gold, "Generated JSON is as expected" );

			// add morphAttributes
			a.morphAttributes.attribute1 = [];
			a.morphAttributes.attribute1.push( attribute1.clone() );
			j = a.toJSON();
			gold.data.morphAttributes = {
				"attribute1": [ {
					"itemSize": 1,
					"type": "Uint16Array",
					"array": [ 1, 3, 5, 7 ],
					"normalized": false,
					"name": "attribute1"
				} ]
			};
			gold.data.morphTargetsRelative = false;

			assert.deepEqual( j, gold, "Generated JSON with morphAttributes is as expected" );

		} );

		QUnit.test( "clone", ( assert ) => {

			var a = new BufferGeometry();
			a.setAttribute( "attribute1", new BufferAttribute( new Float32Array( [ 1, 2, 3, 4, 5, 6 ] ), 3 ) );
			a.setAttribute( "attribute2", new BufferAttribute( new Float32Array( [ 0, 1, 3, 5, 6 ] ), 1 ) );
			a.addGroup( 0, 1, 2 );
			a.computeBoundingBox();
			a.computeBoundingSphere();
			a.setDrawRange( 0, 1 );
			var b = a.clone();

			assert.notEqual( a, b, "A new object was created" );
			assert.notEqual( a.id, b.id, "New object has a different GUID" );

			assert.strictEqual(
				Object.keys( a.attributes ).count, Object.keys( b.attributes ).count,
				"Both objects have the same amount of attributes"
			);
			assert.ok(
				bufferAttributeEquals( a.getAttribute( "attribute1" ), b.getAttribute( "attribute1" ) ),
				"First attributes buffer is identical"
			);
			assert.ok(
				bufferAttributeEquals( a.getAttribute( "attribute2" ), b.getAttribute( "attribute2" ) ),
				"Second attributes buffer is identical"
			);

			assert.deepEqual( a.groups, b.groups, "Groups are identical" );

			assert.ok( a.boundingBox.equals( b.boundingBox ), "BoundingBoxes are equal" );
			assert.ok( a.boundingSphere.equals( b.boundingSphere ), "BoundingSpheres are equal" );

			assert.strictEqual( a.drawRange.start, b.drawRange.start, "DrawRange start is identical" );
			assert.strictEqual( a.drawRange.count, b.drawRange.count, "DrawRange count is identical" );

		} );

		QUnit.test( "copy", ( assert ) => {

			var geometry = new BufferGeometry();
			geometry.setAttribute( "attrName", new BufferAttribute( new Float32Array( [ 1, 2, 3, 4, 5, 6 ] ), 3 ) );
			geometry.setAttribute( "attrName2", new BufferAttribute( new Float32Array( [ 0, 1, 3, 5, 6 ] ), 1 ) );

			var copy = new BufferGeometry().copy( geometry );

			assert.ok( copy !== geometry && geometry.id !== copy.id, "new object was created" );

			Object.keys( geometry.attributes ).forEach( function ( key ) {

				var attribute = geometry.attributes[ key ];
				assert.ok( attribute !== undefined, "all attributes where copied" );

				for ( var i = 0; i < attribute.array.length; i ++ ) {

					assert.ok( attribute.array[ i ] === copy.attributes[ key ].array[ i ], "values of the attribute are equal" );

				}

			} );

		} );

		QUnit.todo( "dispose", ( assert ) => {

			assert.ok( false, "everything's gonna be alright" );

		} );

	} );

} );