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|
<!DOCTYPE HTML>
<html>
<head>
<title>Test DOMMatrix behavior</title>
<script src="/tests/SimpleTest/SimpleTest.js"></script>
<link rel="stylesheet" type="text/css" href="/tests/SimpleTest/test.css">
</head>
<script>
function createMatrix(a, b, c, d, e, f)
{
var m = new DOMMatrix();
m.a = a;
m.b = b;
m.c = c;
m.d = d;
m.e = e;
m.f = f;
return m;
}
function create3DMatrix(a, b, c, d, e, f)
{
var m = new DOMMatrix();
m.a = a;
m.b = b;
m.c = c;
m.d = d;
m.e = e;
m.f = f;
m.m13 = 0;
return m;
}
function cmpMatrix(a, b, msg)
{
if (Array.isArray(a))
a = new DOMMatrix(a);
if (Array.isArray(b))
b = new DOMMatrix(b);
ok(CompareDOMMatrix(a, b),
msg + " - got " + formatMatrix(a)
+ ", expected " + formatMatrix(b));
}
function roughCmpMatrix(a, b, msg)
{
if (Array.isArray(a))
a = new DOMMatrix(a);
if (Array.isArray(b))
b = new DOMMatrix(b);
ok(RoughCompareDOMMatrix(a, b),
msg + " - got " + formatMatrix(a)
+ ", expected " + formatMatrix(b));
}
function formatMatrix(m)
{
m = new DOMMatrix(m);
if (m.is2D)
return "(" + [m.a, m.b, m.c, m.d, m.e, m.f].join(', ') + ")";
else
return "(" + [m.m11, m.m12, m.m13, m.m14,
m.m21, m.m22, m.m23, m.m24,
m.m31, m.m32, m.m33, m.m34,
m.m41, m.m42, m.m43, m.m44,].join(', ') + ")";
}
function CompareMatrix(dm, m)
{
var ma = m.toFloat32Array();
for (var x = 0; x < ma.length; x++) {
if (Math.abs(ma[x] - dm.m[x]) > 0.000001)
return false;
}
return true;
}
function CompareDOMMatrix(dm1, dm2)
{
var m1 = dm1.toFloat32Array();
var m2 = dm2.toFloat32Array();
if (m1.length != m2.length)
return false;
for (var x = 0; x < m1.length; x++) {
if (Math.abs(m1[x] - m2[x]) > 0.000001)
return false;
}
return true;
}
function RoughCompareDOMMatrix(dm1, dm2)
{
var m1 = dm1.toFloat32Array();
var m2 = dm2.toFloat32Array();
if (m1.length != m2.length)
return false;
const tolerance = 1 / 65535;
for (var x = 0; x < m1.length; x++) {
if (Math.abs(m1[x] - m2[x]) > tolerance)
return false;
}
return true;
}
SimpleTest.waitForExplicitFinish();
function main()
{
var tests = [
testCreateMatrix,
testMultiply,
testInverse,
testTranslate,
testScale,
testScaleNonUniform,
testRotate,
testRotateFromVector,
testFlipX,
testFlipY,
testSkewX,
testSkewY,
testMultiplyInPlace,
testInverseInPlace,
testTranslateInPlace,
testScaleInPlace,
testRotateInPlace,
testRotateFromVectorInPlace,
testSkewXInPlace,
testSkewYInPlace,
testCreateMatrix3D,
testMultiply3D,
testInverse3D,
testTranslate3D,
testScale3D,
test3D,
testParsing,
testStringify
];
for (var i = 0; i < tests.length; i++) {
try{
tests[i]();
} catch (e) {
ok(false, "uncaught exception in test " + i + ": " + e.name);
}
}
SimpleTest.finish();
}
function testCreateMatrix()
{
var m = new DOMMatrix();
// Should be initialised to identity
cmpMatrix(m, [1, 0, 0, 1, 0, 0],
"DOMMatrix should produce identity matrix");
m = new DOMMatrix([1,2,3,4,5,6]);
cmpMatrix(m, [1,2,3,4,5,6],
"DOMMatrix should produce the same matrix");
ok(m.is2D, "Failed to mark matrix as 2D.");
m = new DOMMatrix([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]);
cmpMatrix(m, [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],
"DOMMatrix should produce the same matrix");
ok(!m.is2D, "Failed to mark matrix as 3D.");
var n = new DOMMatrix(m.toFloat32Array());
cmpMatrix(n, [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],
"DOMMatrix should produce the same matrix with float32array constructor");
ok(!n.is2D, "Failed to mark matrix as 3D.");
var n = new DOMMatrix(m.toFloat64Array());
cmpMatrix(n, [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],
"DOMMatrix should produce the same matrix with float64array constructor");
ok(!n.is2D, "Failed to mark matrix as 3D.");
var exn = null;
try {
m = new DOMMatrix([0]);
} catch (e) {
exn = e;
}
ok(exn, "did throw exception with bad DOMMatrix constructor with 1 parameter");
exn = null;
try {
m = new DOMMatrix([1,2,3,4,5,6,7,8,9]);
} catch (e) {
exn = e;
}
ok(exn, "did throw exception with bad DOMMatrix constructor with 9 parameters");
exn = null;
try {
m = new DOMMatrix([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]);
} catch (e) {
exn = e;
}
ok(exn, "did throw exception with bad DOMMatrix constructor with 17 parameters");
}
// DOMMatrix multiply(in DOMMatrix secondMatrix);
function testMultiply()
{
var m1 = createMatrix(1, 0, 0, 1, 50, 90);
var m2 = createMatrix(Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 0, 0);
var m3 = createMatrix(1, 0, 0, 1, 130, 160);
var result = m1.multiply(m2).multiply(m3);
roughCmpMatrix(result, [Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 255.060974, 111.213203],
"Unexpected result after multiplying matrices");
// Check orig matrices are unchanged
cmpMatrix(m1, [1, 0, 0, 1, 50, 90], "Matrix changed after multiplication");
roughCmpMatrix(m2, [Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 0, 0],
"Matrix changed after multiplication");
cmpMatrix(m3, [1, 0, 0, 1, 130, 160], "Matrix changed after multiplication");
}
// DOMMatrix inverse() raises(SVGException);
function testInverse()
{
// Test inversion
var m = createMatrix(2, 0, 0, 4, 110, -50);
roughCmpMatrix(m.inverse(), [0.5, 0, 0, 0.25, -55, 12.5],
"Unexpected result after inverting matrix");
// Test non-invertable
m = createMatrix(0, 0, 1, 0, 0, 0);
m = m.inverse();
ok(isNaN(m.a), "Failed to invalidate inverted singular matrix, got " + m.a);
ok(!m.is2D, "Failed to mark invalidated inverted singular matrix as 3D.");
}
// DOMMatrix translate(in float x, in float y);
function testTranslate()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
roughCmpMatrix(m.translate(100, -50), [2, 0, 0, 1, 320, 50],
"Unexpected result after translate");
}
// DOMMatrix scale(in float scaleFactor);
function testScale()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
roughCmpMatrix(m.scale(0.5), [1, 0, 0, 0.5, 120, 100],
"Unexpected result after scale");
}
// DOMMatrix scaleNonUniform(in float scaleFactorX, in float scaleFactorY);
function testScaleNonUniform()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
roughCmpMatrix(m.scaleNonUniform(0.5, -3), [1, 0, 0, -3, 120, 100],
"Unexpected result after scaleNonUniform");
}
// DOMMatrix rotate(in float angle);
function testRotate()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
roughCmpMatrix(m.rotate(45),
[2*Math.cos(Math.PI/4), Math.sin(Math.PI/4),
2*-Math.sin(Math.PI/4), Math.cos(Math.PI/4),
120, 100],
"Unexpected result after rotate");
}
// DOMMatrix rotateFromVector(in float x, in float y) raises(SVGException);
function testRotateFromVector()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
// Make a 150 degree angle
var result = m.rotateFromVector(-2, 1.1547);
roughCmpMatrix(result,
[2*Math.cos(5*Math.PI/6), Math.sin(5*Math.PI/6),
2*-Math.sin(5*Math.PI/6), Math.cos(5*Math.PI/6),
120, 100],
"Unexpected result after rotateFromVector");
// Test bad input (1)
var exn = null;
try {
m.rotateFromVector(1, 0);
} catch (e) {
exn = e;
}
is(exn, null, "did not throw exception with zero coord for rotateFromVector");
// Test bad input (2)
exn = null;
try {
m.rotateFromVector(0, 1);
} catch (e) {
exn = e;
}
is(exn, null, "did not throw exception with zero coord for rotateFromVector");
}
// DOMMatrix flipX();
function testFlipX()
{
var m = createMatrix(1, 2, 3, 4, 5, 6);
cmpMatrix(m.flipX(), [-1, -2, 3, 4, 5, 6], "Unexpected result after flipX");
}
// DOMMatrix flipY();
function testFlipY()
{
var m = createMatrix(1, 2, 3, 4, 5, 6);
cmpMatrix(m.flipY(), [1, 2, -3, -4, 5, 6], "Unexpected result after flipY");
}
// DOMMatrix skewX(in float angle);
function testSkewX()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
roughCmpMatrix(m.skewX(30), [2, 0, 2*Math.tan(Math.PI/6), 1, 120, 100],
"Unexpected result after skewX");
}
// DOMMatrix skewY(in float angle);
function testSkewY()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
roughCmpMatrix(m.skewY(30), [2, Math.tan(Math.PI/6), 0, 1, 120, 100],
"Unexpected result after skewY");
}
// DOMMatrix multiply(in DOMMatrix secondMatrix);
function testMultiplyInPlace()
{
var m1 = createMatrix(1, 0, 0, 1, 50, 90);
var m2 = createMatrix(Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 0, 0);
var m3 = createMatrix(1, 0, 0, 1, 130, 160);
m1.multiplySelf(m2).multiplySelf(m3);
roughCmpMatrix(m1, [Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 255.060974, 111.213203],
"Unexpected result after multiplying matrices");
// Check orig matrices are unchanged
roughCmpMatrix(m2, [Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 0, 0],
"Matrix changed after multiplication");
cmpMatrix(m3, [1, 0, 0, 1, 130, 160], "Matrix changed after multiplication");
}
// DOMMatrix inverse() raises(SVGException);
function testInverseInPlace()
{
// Test inversion
var m = createMatrix(2, 0, 0, 4, 110, -50);
m.invertSelf();
roughCmpMatrix(m, [0.5, 0, 0, 0.25, -55, 12.5],
"Unexpected result after inverting matrix");
// Test non-invertable
m = createMatrix(0, 0, 1, 0, 0, 0);
m.invertSelf();
ok(isNaN(m.a), "Failed to invalidate inverted singular matrix, got " + m.a);
ok(!m.is2D, "Failed to mark invalidated inverted singular matrix as 3D.");
}
// DOMMatrix translate(in float x, in float y);
function testTranslateInPlace()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
m.translateSelf(100, -50)
roughCmpMatrix(m, [2, 0, 0, 1, 320, 50],
"Unexpected result after translate");
}
// DOMMatrix scale(in float scaleFactor);
function testScaleInPlace()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
m.scaleSelf(0.5);
roughCmpMatrix(m, [1, 0, 0, 0.5, 120, 100],
"Unexpected result after scale");
}
// DOMMatrix rotate(in float angle);
function testRotateInPlace()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
m.rotateSelf(45);
roughCmpMatrix(m,
[2*Math.cos(Math.PI/4), Math.sin(Math.PI/4),
2*-Math.sin(Math.PI/4), Math.cos(Math.PI/4),
120, 100],
"Unexpected result after rotate");
}
// DOMMatrix rotateFromVector(in float x, in float y) raises(SVGException);
function testRotateFromVectorInPlace()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
// Make a 150 degree angle
m.rotateFromVectorSelf(-2, 1.1547);
roughCmpMatrix(m,
[2*Math.cos(5*Math.PI/6), Math.sin(5*Math.PI/6),
2*-Math.sin(5*Math.PI/6), Math.cos(5*Math.PI/6),
120, 100],
"Unexpected result after rotateFromVector");
// Test bad input (1)
try {
m.rotateFromVectorSelf(1, 0);
ok(true, "did not throw exception with zero coord for rotateFromVector");
} catch (e) {
ok(false,
"Got unexpected exception " + e + ", expected NotSupportedError");
}
// Test bad input (2)
try {
m.rotateFromVectorSelf(0, 1);
ok(true, "did not throw exception with zero coord for rotateFromVector");
} catch (e) { }
}
// DOMMatrix skewX(in float angle);
function testSkewXInPlace()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
m.skewXSelf(30);
roughCmpMatrix(m, [2, 0, 2*Math.tan(Math.PI/6), 1, 120, 100],
"Unexpected result after skewX");
}
// DOMMatrix skewY(in float angle);
function testSkewYInPlace()
{
var m = createMatrix(2, 0, 0, 1, 120, 100);
m.skewYSelf(30);
roughCmpMatrix(m, [2, Math.tan(Math.PI/6), 0, 1, 120, 100],
"Unexpected result after skewY");
}
function testCreateMatrix3D()
{
var m = new DOMMatrix([1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]);
// Should be initialised to identity
cmpMatrix(m, [1, 0, 0, 1, 0, 0],
"DOMMatrix should produce identity matrix");
is(m.is2D, false, "should produce 3d matrix");
m = new DOMMatrix([1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]);
// Should be initialised to identity
cmpMatrix(m, [1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
"DOMMatrix should produce identity matrix");
is(m.is2D, false, "should produce 3d matrix");
}
// DOMMatrix multiply(in DOMMatrix secondMatrix);
function testMultiply3D()
{
var m1 = createMatrix(1, 0, 0, 1, 50, 90);
var m2 = create3DMatrix(Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 0, 0);
var m3 = create3DMatrix(1, 0, 0, 1, 130, 160);
var result = m1.multiply(m2).multiply(m3);
ok(m1.is2D == true, "should produce 3d matrix");
roughCmpMatrix(result, [Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 255.060974, 111.213203],
"Unexpected result after multiplying matrices");
// Check orig matrices are unchanged
cmpMatrix(m1, [1, 0, 0, 1, 50, 90], "Matrix changed after multiplication");
roughCmpMatrix(m2, [Math.SQRT1_2, -Math.SQRT1_2, Math.SQRT1_2, Math.SQRT1_2, 0, 0],
"Matrix changed after multiplication");
cmpMatrix(m3, [1, 0, 0, 1, 130, 160], "Matrix changed after multiplication");
}
// DOMMatrix inverse() raises(SVGException);
function testInverse3D()
{
// Test inversion
var m = create3DMatrix(2, 0, 0, 4, 110, -50);
roughCmpMatrix(m.inverse(), [0.5, 0, 0, 0.25, -55, 12.5],
"Unexpected result after inverting matrix");
// Test non-invertable
m = createMatrix(0, 0, 1, 0, 0, 0);
m = m.inverse();
ok(isNaN(m.a), "Failed to invalidate inverted singular matrix, got " + m.a);
ok(!m.is2D, "Failed to mark invalidated inverted singular matrix as 3D.");
}
// DOMMatrix translate(in float x, in float y);
function testTranslate3D()
{
var m = create3DMatrix(2, 0, 0, 1, 120, 100);
roughCmpMatrix(m.translate(100, -50), [2, 0, 0, 1, 320, 50],
"Unexpected result after translate");
}
// DOMMatrix scale(in float scaleFactor);
function testScale3D()
{
var m = create3DMatrix(2, 0, 0, 1, 120, 100);
roughCmpMatrix(m.scale(0.5), [1, 0, 0, 0.5, 120, 100],
"Unexpected result after scale");
}
function Matrix3D() {
this.m = new Float32Array([
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
]);
}
Matrix3D.prototype = {
translate(x, y, z, result) {
result = result || new Matrix3D();
var m = result.m;
m[0] = 1;
m[1] = 0;
m[2] = 0;
m[3] = x;
m[4] = 0;
m[5] = 1;
m[6] = 0;
m[7] = y;
m[8] = 0;
m[9] = 0;
m[10] = 1;
m[11] = z;
m[12] = 0;
m[13] = 0;
m[14] = 0;
m[15] = 1;
return result;
},
inverse(matrix, result) {
result = result || new Matrix3D();
var m = matrix.m, r = result.m;
r[0] = m[5]*m[10]*m[15] - m[5]*m[14]*m[11] - m[6]*m[9]*m[15] + m[6]*m[13]*m[11] + m[7]*m[9]*m[14] - m[7]*m[13]*m[10];
r[1] = -m[1]*m[10]*m[15] + m[1]*m[14]*m[11] + m[2]*m[9]*m[15] - m[2]*m[13]*m[11] - m[3]*m[9]*m[14] + m[3]*m[13]*m[10];
r[2] = m[1]*m[6]*m[15] - m[1]*m[14]*m[7] - m[2]*m[5]*m[15] + m[2]*m[13]*m[7] + m[3]*m[5]*m[14] - m[3]*m[13]*m[6];
r[3] = -m[1]*m[6]*m[11] + m[1]*m[10]*m[7] + m[2]*m[5]*m[11] - m[2]*m[9]*m[7] - m[3]*m[5]*m[10] + m[3]*m[9]*m[6];
r[4] = -m[4]*m[10]*m[15] + m[4]*m[14]*m[11] + m[6]*m[8]*m[15] - m[6]*m[12]*m[11] - m[7]*m[8]*m[14] + m[7]*m[12]*m[10];
r[5] = m[0]*m[10]*m[15] - m[0]*m[14]*m[11] - m[2]*m[8]*m[15] + m[2]*m[12]*m[11] + m[3]*m[8]*m[14] - m[3]*m[12]*m[10];
r[6] = -m[0]*m[6]*m[15] + m[0]*m[14]*m[7] + m[2]*m[4]*m[15] - m[2]*m[12]*m[7] - m[3]*m[4]*m[14] + m[3]*m[12]*m[6];
r[7] = m[0]*m[6]*m[11] - m[0]*m[10]*m[7] - m[2]*m[4]*m[11] + m[2]*m[8]*m[7] + m[3]*m[4]*m[10] - m[3]*m[8]*m[6];
r[8] = m[4]*m[9]*m[15] - m[4]*m[13]*m[11] - m[5]*m[8]*m[15] + m[5]*m[12]*m[11] + m[7]*m[8]*m[13] - m[7]*m[12]*m[9];
r[9] = -m[0]*m[9]*m[15] + m[0]*m[13]*m[11] + m[1]*m[8]*m[15] - m[1]*m[12]*m[11] - m[3]*m[8]*m[13] + m[3]*m[12]*m[9];
r[10] = m[0]*m[5]*m[15] - m[0]*m[13]*m[7] - m[1]*m[4]*m[15] + m[1]*m[12]*m[7] + m[3]*m[4]*m[13] - m[3]*m[12]*m[5];
r[11] = -m[0]*m[5]*m[11] + m[0]*m[9]*m[7] + m[1]*m[4]*m[11] - m[1]*m[8]*m[7] - m[3]*m[4]*m[9] + m[3]*m[8]*m[5];
r[12] = -m[4]*m[9]*m[14] + m[4]*m[13]*m[10] + m[5]*m[8]*m[14] - m[5]*m[12]*m[10] - m[6]*m[8]*m[13] + m[6]*m[12]*m[9];
r[13] = m[0]*m[9]*m[14] - m[0]*m[13]*m[10] - m[1]*m[8]*m[14] + m[1]*m[12]*m[10] + m[2]*m[8]*m[13] - m[2]*m[12]*m[9];
r[14] = -m[0]*m[5]*m[14] + m[0]*m[13]*m[6] + m[1]*m[4]*m[14] - m[1]*m[12]*m[6] - m[2]*m[4]*m[13] + m[2]*m[12]*m[5];
r[15] = m[0]*m[5]*m[10] - m[0]*m[9]*m[6] - m[1]*m[4]*m[10] + m[1]*m[8]*m[6] + m[2]*m[4]*m[9] - m[2]*m[8]*m[5];
var det = m[0]*r[0] + m[1]*r[4] + m[2]*r[8] + m[3]*r[12];
for (var i = 0; i < 16; i++) r[i] /= det;
return result;
},
multiply(left, result) {
result = result || new Matrix3D();
var a = this.m, b = left.m, r = result.m;
r[0] = a[0] * b[0] + a[1] * b[4] + a[2] * b[8] + a[3] * b[12];
r[1] = a[0] * b[1] + a[1] * b[5] + a[2] * b[9] + a[3] * b[13];
r[2] = a[0] * b[2] + a[1] * b[6] + a[2] * b[10] + a[3] * b[14];
r[3] = a[0] * b[3] + a[1] * b[7] + a[2] * b[11] + a[3] * b[15];
r[4] = a[4] * b[0] + a[5] * b[4] + a[6] * b[8] + a[7] * b[12];
r[5] = a[4] * b[1] + a[5] * b[5] + a[6] * b[9] + a[7] * b[13];
r[6] = a[4] * b[2] + a[5] * b[6] + a[6] * b[10] + a[7] * b[14];
r[7] = a[4] * b[3] + a[5] * b[7] + a[6] * b[11] + a[7] * b[15];
r[8] = a[8] * b[0] + a[9] * b[4] + a[10] * b[8] + a[11] * b[12];
r[9] = a[8] * b[1] + a[9] * b[5] + a[10] * b[9] + a[11] * b[13];
r[10] = a[8] * b[2] + a[9] * b[6] + a[10] * b[10] + a[11] * b[14];
r[11] = a[8] * b[3] + a[9] * b[7] + a[10] * b[11] + a[11] * b[15];
r[12] = a[12] * b[0] + a[13] * b[4] + a[14] * b[8] + a[15] * b[12];
r[13] = a[12] * b[1] + a[13] * b[5] + a[14] * b[9] + a[15] * b[13];
r[14] = a[12] * b[2] + a[13] * b[6] + a[14] * b[10] + a[15] * b[14];
r[15] = a[12] * b[3] + a[13] * b[7] + a[14] * b[11] + a[15] * b[15];
return result;
},
scale(x, y, z, result) {
result = result || new Matrix3D();
var m = result.m;
m[0] = x;
m[1] = 0;
m[2] = 0;
m[3] = 0;
m[4] = 0;
m[5] = y;
m[6] = 0;
m[7] = 0;
m[8] = 0;
m[9] = 0;
m[10] = z;
m[11] = 0;
m[12] = 0;
m[13] = 0;
m[14] = 0;
m[15] = 1;
return result;
},
rotate(a, x, y, z, result) {
result = result || new Matrix3D();
var m = result.m;
var d = Math.sqrt(x*x + y*y + z*z);
a *= Math.PI / 180; x /= d; y /= d; z /= d;
var c = Math.cos(a), s = Math.sin(a), t = 1 - c;
m[0] = x * x * t + c;
m[1] = x * y * t - z * s;
m[2] = x * z * t + y * s;
m[3] = 0;
m[4] = y * x * t + z * s;
m[5] = y * y * t + c;
m[6] = y * z * t - x * s;
m[7] = 0;
m[8] = z * x * t - y * s;
m[9] = z * y * t + x * s;
m[10] = z * z * t + c;
m[11] = 0;
m[12] = 0;
m[13] = 0;
m[14] = 0;
m[15] = 1;
return result;
},
swap(result) {
result = result || new Matrix3D();
for (var x = 0; x < 16; x++)
result.m[x] = this.m[Math.floor(x/4) + (x%4)*4];
return result;
}
};
function test3D()
{
var m = new DOMMatrix()
var m2 = new Matrix3D();
m.translateSelf(2,3,4).scaleSelf(1.2, 2.3, 3.4, 0, 0, 0);
m2 = m2.multiply(m2.translate(2,3,4)).multiply(m2.scale(1.2, 2.3, 3.4)).swap();
ok(CompareMatrix(m2, m), "translate + scale in 3d didn't match, expected: " + formatMatrix(m2.m) + ", got: " + formatMatrix(m));
m.invertSelf();
m2 = new Matrix3D();
m2 = m2.multiply(m2.translate(2,3,4)).multiply(m2.scale(1.2, 2.3, 3.4));
m2 = m2.inverse(m2).swap();
ok(CompareMatrix(m2, m), "translate + scale in inverted 3d didn't match, expected: " + formatMatrix(m2.m) + ", got: " + formatMatrix(m));
}
function testParsing()
{
var m = new DOMMatrix("translate(10px, 20px) scale(.5, 2) rotate(45deg)");
var m2 = new DOMMatrix();
m2.translateSelf(10, 20).scaleSelf(.5,2).rotateSelf(45);
ok(CompareDOMMatrix(m2, m), "string parsing didn't match");
m = new DOMMatrix();
m.setMatrixValue("translate(10px, 20px) scale(.5, 2) rotate(45deg)");
ok(CompareDOMMatrix(m2, m), "string parsing didn't match");
}
function testStringify() {
var m = new DOMMatrix();
var s = "" + m;
ok(s == "matrix" + formatMatrix(m), "stringifier 1 produced wrong result: " + s);
m.a = 100;
s = "" + m;
ok(s == "matrix" + formatMatrix(m), "stringifier 2 produced wrong result: " + s);
m.m43 = 200;
s = "" + m;
ok(s == "matrix3d" + formatMatrix(m), "stringifier 3 produced wrong result:" + s);
}
window.addEventListener("load", main);
</script>
</pre>
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