/** * @author bhouston / http://exocortex.com * @author TristanVALCKE / https://github.com/Itee */ /* global QUnit */ import { Matrix3 } from '../../../../src/math/Matrix3'; import { Matrix4 } from '../../../../src/math/Matrix4'; import { Float32BufferAttribute } from '../../../../src/core/BufferAttribute'; function matrixEquals3( a, b, tolerance ) { tolerance = tolerance || 0.0001; if ( a.elements.length != b.elements.length ) { return false; } for ( var i = 0, il = a.elements.length; i < il; i ++ ) { var delta = a.elements[ i ] - b.elements[ i ]; if ( delta > tolerance ) { return false; } } return true; } function toMatrix4( m3 ) { var result = new Matrix4(); var re = result.elements; var me = m3.elements; re[ 0 ] = me[ 0 ]; re[ 1 ] = me[ 1 ]; re[ 2 ] = me[ 2 ]; re[ 4 ] = me[ 3 ]; re[ 5 ] = me[ 4 ]; re[ 6 ] = me[ 5 ]; re[ 8 ] = me[ 6 ]; re[ 9 ] = me[ 7 ]; re[ 10 ] = me[ 8 ]; return result; } export default QUnit.module( 'Maths', () => { QUnit.module.todo( 'Matrix3', () => { // INSTANCING QUnit.test( "Instancing", ( assert ) => { var a = new Matrix3(); assert.ok( a.determinant() == 1, "Passed!" ); var b = new Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 ); assert.ok( b.elements[ 0 ] == 0 ); assert.ok( b.elements[ 1 ] == 3 ); assert.ok( b.elements[ 2 ] == 6 ); assert.ok( b.elements[ 3 ] == 1 ); assert.ok( b.elements[ 4 ] == 4 ); assert.ok( b.elements[ 5 ] == 7 ); assert.ok( b.elements[ 6 ] == 2 ); assert.ok( b.elements[ 7 ] == 5 ); assert.ok( b.elements[ 8 ] == 8 ); assert.ok( ! matrixEquals3( a, b ), "Passed!" ); } ); // PUBLIC STUFF QUnit.test( "isMatrix3", ( assert ) => { assert.ok( false, "everything's gonna be alright" ); } ); QUnit.test( "set", ( assert ) => { var b = new Matrix3(); assert.ok( b.determinant() == 1, "Passed!" ); b.set( 0, 1, 2, 3, 4, 5, 6, 7, 8 ); assert.ok( b.elements[ 0 ] == 0 ); assert.ok( b.elements[ 1 ] == 3 ); assert.ok( b.elements[ 2 ] == 6 ); assert.ok( b.elements[ 3 ] == 1 ); assert.ok( b.elements[ 4 ] == 4 ); assert.ok( b.elements[ 5 ] == 7 ); assert.ok( b.elements[ 6 ] == 2 ); assert.ok( b.elements[ 7 ] == 5 ); assert.ok( b.elements[ 8 ] == 8 ); } ); QUnit.test( "identity", ( assert ) => { var b = new Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 ); assert.ok( b.elements[ 0 ] == 0 ); assert.ok( b.elements[ 1 ] == 3 ); assert.ok( b.elements[ 2 ] == 6 ); assert.ok( b.elements[ 3 ] == 1 ); assert.ok( b.elements[ 4 ] == 4 ); assert.ok( b.elements[ 5 ] == 7 ); assert.ok( b.elements[ 6 ] == 2 ); assert.ok( b.elements[ 7 ] == 5 ); assert.ok( b.elements[ 8 ] == 8 ); var a = new Matrix3(); assert.ok( ! matrixEquals3( a, b ), "Passed!" ); b.identity(); assert.ok( matrixEquals3( a, b ), "Passed!" ); } ); QUnit.test( "clone", ( assert ) => { var a = new Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 ); var b = a.clone(); assert.ok( matrixEquals3( a, b ), "Passed!" ); // ensure that it is a true copy a.elements[ 0 ] = 2; assert.ok( ! matrixEquals3( a, b ), "Passed!" ); } ); QUnit.test( "copy", ( assert ) => { var a = new Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 ); var b = new Matrix3().copy( a ); assert.ok( matrixEquals3( a, b ), "Passed!" ); // ensure that it is a true copy a.elements[ 0 ] = 2; assert.ok( ! matrixEquals3( a, b ), "Passed!" ); } ); QUnit.test( "setFromMatrix4", ( assert ) => { assert.ok( false, "everything's gonna be alright" ); } ); QUnit.test( "applyToBufferAttribute", ( assert ) => { var a = new Matrix3().set( 1, 2, 3, 4, 5, 6, 7, 8, 9 ); var attr = new Float32BufferAttribute( [ 1, 2, 1, 3, 0, 3 ], 3 ); var expected = new Float32Array( [ 8, 20, 32, 12, 30, 48 ] ); var applied = a.applyToBufferAttribute( attr ); assert.deepEqual( applied.array, expected, "Check resulting buffer" ); } ); QUnit.test( "multiply/premultiply", ( assert ) => { // both simply just wrap multiplyMatrices var a = new Matrix3().set( 2, 3, 5, 7, 11, 13, 17, 19, 23 ); var b = new Matrix3().set( 29, 31, 37, 41, 43, 47, 53, 59, 61 ); var expectedMultiply = [ 446, 1343, 2491, 486, 1457, 2701, 520, 1569, 2925 ]; var expectedPremultiply = [ 904, 1182, 1556, 1131, 1489, 1967, 1399, 1845, 2435 ]; a.multiply( b ); assert.deepEqual( a.elements, expectedMultiply, "multiply: check result" ); a.set( 2, 3, 5, 7, 11, 13, 17, 19, 23 ); a.premultiply( b ); assert.deepEqual( a.elements, expectedPremultiply, "premultiply: check result" ); } ); QUnit.test( "multiplyMatrices", ( assert ) => { // Reference: // // #!/usr/bin/env python // from __future__ import print_function // import numpy as np // print( // np.dot( // np.reshape([2, 3, 5, 7, 11, 13, 17, 19, 23], (3, 3)), // np.reshape([29, 31, 37, 41, 43, 47, 53, 59, 61], (3, 3)) // ) // ) // // [[ 446 486 520] // [1343 1457 1569] // [2491 2701 2925]] var lhs = new Matrix3().set( 2, 3, 5, 7, 11, 13, 17, 19, 23 ); var rhs = new Matrix3().set( 29, 31, 37, 41, 43, 47, 53, 59, 61 ); var ans = new Matrix3(); ans.multiplyMatrices( lhs, rhs ); assert.ok( ans.elements[ 0 ] == 446 ); assert.ok( ans.elements[ 1 ] == 1343 ); assert.ok( ans.elements[ 2 ] == 2491 ); assert.ok( ans.elements[ 3 ] == 486 ); assert.ok( ans.elements[ 4 ] == 1457 ); assert.ok( ans.elements[ 5 ] == 2701 ); assert.ok( ans.elements[ 6 ] == 520 ); assert.ok( ans.elements[ 7 ] == 1569 ); assert.ok( ans.elements[ 8 ] == 2925 ); } ); QUnit.test( "multiplyScalar", ( assert ) => { var b = new Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 ); assert.ok( b.elements[ 0 ] == 0 ); assert.ok( b.elements[ 1 ] == 3 ); assert.ok( b.elements[ 2 ] == 6 ); assert.ok( b.elements[ 3 ] == 1 ); assert.ok( b.elements[ 4 ] == 4 ); assert.ok( b.elements[ 5 ] == 7 ); assert.ok( b.elements[ 6 ] == 2 ); assert.ok( b.elements[ 7 ] == 5 ); assert.ok( b.elements[ 8 ] == 8 ); b.multiplyScalar( 2 ); assert.ok( b.elements[ 0 ] == 0 * 2 ); assert.ok( b.elements[ 1 ] == 3 * 2 ); assert.ok( b.elements[ 2 ] == 6 * 2 ); assert.ok( b.elements[ 3 ] == 1 * 2 ); assert.ok( b.elements[ 4 ] == 4 * 2 ); assert.ok( b.elements[ 5 ] == 7 * 2 ); assert.ok( b.elements[ 6 ] == 2 * 2 ); assert.ok( b.elements[ 7 ] == 5 * 2 ); assert.ok( b.elements[ 8 ] == 8 * 2 ); } ); QUnit.test( "determinant", ( assert ) => { var a = new Matrix3(); assert.ok( a.determinant() == 1, "Passed!" ); a.elements[ 0 ] = 2; assert.ok( a.determinant() == 2, "Passed!" ); a.elements[ 0 ] = 0; assert.ok( a.determinant() == 0, "Passed!" ); // calculated via http://www.euclideanspace.com/maths/algebra/matrix/functions/determinant/threeD/index.htm a.set( 2, 3, 4, 5, 13, 7, 8, 9, 11 ); assert.ok( a.determinant() == - 73, "Passed!" ); } ); QUnit.test( "getInverse", ( assert ) => { var identity = new Matrix3(); var identity4 = new Matrix4(); var a = new Matrix3(); var b = new Matrix3().set( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); var c = new Matrix3().set( 0, 0, 0, 0, 0, 0, 0, 0, 0 ); b.getInverse( a, false ); assert.ok( matrixEquals3( a, identity ), "Matrix a is identity matrix" ); try { b.getInverse( c, true ); assert.ok( false, "Should never get here !" ); // should never get here. } catch ( err ) { assert.ok( true, "Passed: " + err ); } var testMatrices = [ new Matrix4().makeRotationX( 0.3 ), new Matrix4().makeRotationX( - 0.3 ), new Matrix4().makeRotationY( 0.3 ), new Matrix4().makeRotationY( - 0.3 ), new Matrix4().makeRotationZ( 0.3 ), new Matrix4().makeRotationZ( - 0.3 ), new Matrix4().makeScale( 1, 2, 3 ), new Matrix4().makeScale( 1 / 8, 1 / 2, 1 / 3 ) ]; for ( var i = 0, il = testMatrices.length; i < il; i ++ ) { var m = testMatrices[ i ]; a.setFromMatrix4( m ); var mInverse3 = b.getInverse( a ); var mInverse = toMatrix4( mInverse3 ); // the determinant of the inverse should be the reciprocal assert.ok( Math.abs( a.determinant() * mInverse3.determinant() - 1 ) < 0.0001, "Passed!" ); assert.ok( Math.abs( m.determinant() * mInverse.determinant() - 1 ) < 0.0001, "Passed!" ); var mProduct = new Matrix4().multiplyMatrices( m, mInverse ); assert.ok( Math.abs( mProduct.determinant() - 1 ) < 0.0001, "Passed!" ); assert.ok( matrixEquals3( mProduct, identity4 ), "Passed!" ); } } ); QUnit.test( "transpose", ( assert ) => { var a = new Matrix3(); var b = a.clone().transpose(); assert.ok( matrixEquals3( a, b ), "Passed!" ); var b = new Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 ); var c = b.clone().transpose(); assert.ok( ! matrixEquals3( b, c ), "Passed!" ); c.transpose(); assert.ok( matrixEquals3( b, c ), "Passed!" ); } ); QUnit.test( "getNormalMatrix", ( assert ) => { var a = new Matrix3(); var b = new Matrix4().set( 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 57 ); var expected = new Matrix3().set( - 1.2857142857142856, 0.7142857142857143, 0.2857142857142857, 0.7428571428571429, - 0.7571428571428571, 0.15714285714285714, - 0.19999999999999998, 0.3, - 0.09999999999999999 ); a.getNormalMatrix( b ); assert.ok( matrixEquals3( a, expected ), "Check resulting Matrix3" ); } ); QUnit.test( "transposeIntoArray", ( assert ) => { assert.ok( false, "everything's gonna be alright" ); } ); QUnit.test( "setUvTransform", ( assert ) => { var a = new Matrix3().set( 0.1767766952966369, 0.17677669529663687, 0.32322330470336313, - 0.17677669529663687, 0.1767766952966369, 0.5, 0, 0, 1 ); var b = new Matrix3(); var params = { centerX: 0.5, centerY: 0.5, offsetX: 0, offsetY: 0, repeatX: 0.25, repeatY: 0.25, rotation: 0.7753981633974483 }; var expected = new Matrix3().set( 0.1785355940258599, 0.17500011904519763, 0.32323214346447127, - 0.17500011904519763, 0.1785355940258599, 0.4982322625096689, 0, 0, 1 ); a.setUvTransform( params.offsetX, params.offsetY, params.repeatX, params.repeatY, params.rotation, params.centerX, params.centerY ); b.identity() .translate( - params.centerX, - params.centerY ) .rotate( params.rotation ) .scale( params.repeatX, params.repeatY ) .translate( params.centerX, params.centerY ) .translate( params.offsetX, params.offsetY ); assert.ok( matrixEquals3( a, expected ), "Check direct method" ); assert.ok( matrixEquals3( b, expected ), "Check indirect method" ); } ); QUnit.test( "scale", ( assert ) => { var a = new Matrix3().set( 1, 2, 3, 4, 5, 6, 7, 8, 9 ); var expected = new Matrix3().set( 0.25, 0.5, 0.75, 1, 1.25, 1.5, 7, 8, 9 ); a.scale( 0.25, 0.25 ); assert.ok( matrixEquals3( a, expected ), "Check scaling result" ); } ); QUnit.test( "rotate", ( assert ) => { var a = new Matrix3().set( 1, 2, 3, 4, 5, 6, 7, 8, 9 ); var expected = new Matrix3().set( 3.5355339059327373, 4.949747468305833, 6.363961030678928, 2.121320343559643, 2.121320343559643, 2.1213203435596433, 7, 8, 9 ); a.rotate( Math.PI / 4 ); assert.ok( matrixEquals3( a, expected ), "Check rotated result" ); } ); QUnit.test( "translate", ( assert ) => { var a = new Matrix3().set( 1, 2, 3, 4, 5, 6, 7, 8, 9 ); var expected = new Matrix3().set( 22, 26, 30, 53, 61, 69, 7, 8, 9 ); a.translate( 3, 7 ); assert.ok( matrixEquals3( a, expected ), "Check translation result" ); } ); QUnit.test( "equals", ( assert ) => { var a = new Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 ); var b = new Matrix3().set( 0, - 1, 2, 3, 4, 5, 6, 7, 8 ); assert.notOk( a.equals( b ), "Check that a does not equal b" ); assert.notOk( b.equals( a ), "Check that b does not equal a" ); a.copy( b ); assert.ok( a.equals( b ), "Check that a equals b after copy()" ); assert.ok( b.equals( a ), "Check that b equals a after copy()" ); } ); QUnit.test( "fromArray", ( assert ) => { assert.ok( false, "everything's gonna be alright" ); } ); QUnit.test( "toArray", ( assert ) => { var a = new Matrix3().set( 1, 2, 3, 4, 5, 6, 7, 8, 9 ); var noOffset = [ 1, 4, 7, 2, 5, 8, 3, 6, 9 ]; var withOffset = [ undefined, 1, 4, 7, 2, 5, 8, 3, 6, 9 ]; var array = a.toArray(); assert.deepEqual( array, noOffset, "No array, no offset" ); var array = []; a.toArray( array ); assert.deepEqual( array, noOffset, "With array, no offset" ); var array = []; a.toArray( array, 1 ); assert.deepEqual( array, withOffset, "With array, with offset" ); } ); } ); } );