Doodle3D-Slicer/three.js-master/test/unit/math/Matrix3.js

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2015-06-12 15:58:26 +02:00
/**
* @author bhouston / http://exocortex.com
*/
module( "Matrix3" );
var matrixEquals3 = function( 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;
};
var toMatrix4 = function( m3 ) {
var result = new THREE.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;
};
test( "constructor", function() {
var a = new THREE.Matrix3();
ok( a.determinant() == 1, "Passed!" );
var b = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
ok( b.elements[0] == 0 );
ok( b.elements[1] == 3 );
ok( b.elements[2] == 6 );
ok( b.elements[3] == 1 );
ok( b.elements[4] == 4 );
ok( b.elements[5] == 7 );
ok( b.elements[6] == 2 );
ok( b.elements[7] == 5 );
ok( b.elements[8] == 8 );
ok( ! matrixEquals3( a, b ), "Passed!" );
});
test( "copy", function() {
var a = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
var b = new THREE.Matrix3().copy( a );
ok( matrixEquals3( a, b ), "Passed!" );
// ensure that it is a true copy
a.elements[0] = 2;
ok( ! matrixEquals3( a, b ), "Passed!" );
});
test( "set", function() {
var b = new THREE.Matrix3();
ok( b.determinant() == 1, "Passed!" );
b.set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
ok( b.elements[0] == 0 );
ok( b.elements[1] == 3 );
ok( b.elements[2] == 6 );
ok( b.elements[3] == 1 );
ok( b.elements[4] == 4 );
ok( b.elements[5] == 7 );
ok( b.elements[6] == 2 );
ok( b.elements[7] == 5 );
ok( b.elements[8] == 8 );
});
test( "identity", function() {
var b = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
ok( b.elements[0] == 0 );
ok( b.elements[1] == 3 );
ok( b.elements[2] == 6 );
ok( b.elements[3] == 1 );
ok( b.elements[4] == 4 );
ok( b.elements[5] == 7 );
ok( b.elements[6] == 2 );
ok( b.elements[7] == 5 );
ok( b.elements[8] == 8 );
var a = new THREE.Matrix3();
ok( ! matrixEquals3( a, b ), "Passed!" );
b.identity();
ok( matrixEquals3( a, b ), "Passed!" );
});
test( "multiplyScalar", function() {
var b = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
ok( b.elements[0] == 0 );
ok( b.elements[1] == 3 );
ok( b.elements[2] == 6 );
ok( b.elements[3] == 1 );
ok( b.elements[4] == 4 );
ok( b.elements[5] == 7 );
ok( b.elements[6] == 2 );
ok( b.elements[7] == 5 );
ok( b.elements[8] == 8 );
b.multiplyScalar( 2 );
ok( b.elements[0] == 0*2 );
ok( b.elements[1] == 3*2 );
ok( b.elements[2] == 6*2 );
ok( b.elements[3] == 1*2 );
ok( b.elements[4] == 4*2 );
ok( b.elements[5] == 7*2 );
ok( b.elements[6] == 2*2 );
ok( b.elements[7] == 5*2 );
ok( b.elements[8] == 8*2 );
});
test( "determinant", function() {
var a = new THREE.Matrix3();
ok( a.determinant() == 1, "Passed!" );
a.elements[0] = 2;
ok( a.determinant() == 2, "Passed!" );
a.elements[0] = 0;
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 );
ok( a.determinant() == -73, "Passed!" );
});
test( "getInverse", function() {
var identity = new THREE.Matrix4();
var a = new THREE.Matrix4();
var b = new THREE.Matrix3().set( 0, 0, 0, 0, 0, 0, 0, 0, 0 );
var c = new THREE.Matrix4().set( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 );
ok( ! matrixEquals3( a, b ), "Passed!" );
b.getInverse( a, false );
ok( matrixEquals3( b, new THREE.Matrix3() ), "Passed!" );
try {
b.getInverse( c, true );
ok( false, "Passed!" ); // should never get here.
}
catch( err ) {
ok( true, "Passed!" );
}
var testMatrices = [
new THREE.Matrix4().makeRotationX( 0.3 ),
new THREE.Matrix4().makeRotationX( -0.3 ),
new THREE.Matrix4().makeRotationY( 0.3 ),
new THREE.Matrix4().makeRotationY( -0.3 ),
new THREE.Matrix4().makeRotationZ( 0.3 ),
new THREE.Matrix4().makeRotationZ( -0.3 ),
new THREE.Matrix4().makeScale( 1, 2, 3 ),
new THREE.Matrix4().makeScale( 1/8, 1/2, 1/3 )
];
for( var i = 0, il = testMatrices.length; i < il; i ++ ) {
var m = testMatrices[i];
var mInverse3 = new THREE.Matrix3().getInverse( m );
var mInverse = toMatrix4( mInverse3 );
// the determinant of the inverse should be the reciprocal
ok( Math.abs( m.determinant() * mInverse3.determinant() - 1 ) < 0.0001, "Passed!" );
ok( Math.abs( m.determinant() * mInverse.determinant() - 1 ) < 0.0001, "Passed!" );
var mProduct = new THREE.Matrix4().multiplyMatrices( m, mInverse );
ok( Math.abs( mProduct.determinant() - 1 ) < 0.0001, "Passed!" );
ok( matrixEquals3( mProduct, identity ), "Passed!" );
}
});
test( "transpose", function() {
var a = new THREE.Matrix3();
var b = a.clone().transpose();
ok( matrixEquals3( a, b ), "Passed!" );
b = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
var c = b.clone().transpose();
ok( ! matrixEquals3( b, c ), "Passed!" );
c.transpose();
ok( matrixEquals3( b, c ), "Passed!" );
});
test( "clone", function() {
var a = new THREE.Matrix3().set( 0, 1, 2, 3, 4, 5, 6, 7, 8 );
var b = a.clone();
ok( matrixEquals3( a, b ), "Passed!" );
// ensure that it is a true copy
a.elements[0] = 2;
ok( ! matrixEquals3( a, b ), "Passed!" );
});