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<head>
<title>Geometry Interfaces: Test DOMMatrix non-mutating methods</title>
<link href="mailto:[email protected]" rel="author" title="Peter Hall">
<link rel="help" href="https://drafts.fxtf.org/geometry-1/#DOMMatrix">
<script src="/resources/testharness.js"></script>
<script src="/resources/testharnessreport.js"></script>
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<body>
<p>Test DOMMatrix non-mutating methods</p>
<div id="log"></div>
<script>
var epsilon = 0.0000000005;
function initialMatrix(){
return {
m11:1, m12:-0.5, m13: 0.5, m14:0,
m21:0.5, m22:2, m23: -0.5, m24:0,
m31:0, m32:0, m33: 1, m34:0,
m41:10, m42:20, m43: 10, m44:1,
is2D: false
};
}
function initialDOMMatrix() {
return DOMMatrixReadOnly.fromMatrix(initialMatrix())
}
function identity() {
return new DOMMatrix(
[1, 0, 0, 0,
0, 1, 0 ,0,
0, 0, 1, 0,
0, 0, 0, 1]);
}
function update(matrix, f) {
f(matrix);
return matrix;
}
function deg2rad(degrees) {
return degrees * Math.PI / 180;
}
function getRotationMatrix(x, y, z, alpha_in_degrees) {
// Vector normalizing
var nx = x;
var ny = y;
var nz = z;
var length = Math.sqrt(x * x + y * y + z * z);
if (length) {
nx = x / length;
ny = y / length;
nz = z / length;
}
// The 3D rotation matrix is described in CSS Transforms with alpha.
// Please see: https://drafts.csswg.org/css-transforms-2/#Rotate3dDefined
var alpha_in_radians = deg2rad(alpha_in_degrees / 2);
var sc = Math.sin(alpha_in_radians) * Math.cos(alpha_in_radians);
var sq = Math.sin(alpha_in_radians) * Math.sin(alpha_in_radians);
var m11 = 1 - 2 * (ny * ny + nz * nz) * sq;
var m12 = 2 * (nx * ny * sq + nz * sc);
var m13 = 2 * (nx * nz * sq - ny * sc);
var m14 = 0;
var m21 = 2 * (nx * ny * sq - nz * sc);
var m22 = 1 - 2 * (nx * nx + nz * nz) * sq;
var m23 = 2 * (ny * nz * sq + nx * sc);
var m24 = 0;
var m31 = 2 * (nx * nz * sq + ny * sc);
var m32 = 2 * (ny * nz * sq - nx * sc);
var m33 = 1 - 2 * (nx * nx + ny * ny) * sq;
var m34 = 0;
var m41 = 0;
var m42 = 0;
var m43 = 0;
var m44 = 1;
return new DOMMatrix([
m11, m12, m13, m14,
m21, m22, m23, m24,
m31, m32, m33, m34,
m41, m42, m43, m44]);
}
function getMatrixTransform(matrix, point) {
var x = point.x * matrix.m11 + point.y * matrix.m21 + point.z * matrix.m31 + point.w * matrix.m41;
var y = point.x * matrix.m12 + point.y * matrix.m22 + point.z * matrix.m32 + point.w * matrix.m42;
var w = point.x * matrix.m13 + point.y * matrix.m23 + point.z * matrix.m33 + point.w * matrix.m43;
var z = point.x * matrix.m14 + point.y * matrix.m24 + point.z * matrix.m34 + point.w * matrix.m44;
return new DOMPoint(x, y, w, z)
}
test(function() {
var tx = 1;
var ty = 5;
var tz = 3;
var result = initialDOMMatrix().translate(tx, ty, tz);
var expected = update(initialMatrix(), function(m) {
m.m41 += tx * m.m11 + ty * m.m21 + tz * m.m31;
m.m42 += tx * m.m12 + ty * m.m22 + tz * m.m32;
m.m43 += tx * m.m13 + ty * m.m23 + tz * m.m33;
m.m44 += tx * m.m14 + ty * m.m24 + tz * m.m34;
});
checkDOMMatrix(result, expected);
},"test translate()");
test(function() {
var sx = 2;
var sy = 5;
var sz = 3;
var result = initialDOMMatrix().scale(sx, sy, sz);
var expected = update(initialMatrix(), function(m) {
m.m11 *= sx;
m.m12 *= sx;
m.m13 *= sx;
m.m14 *= sx;
m.m21 *= sy;
m.m22 *= sy;
m.m23 *= sy;
m.m24 *= sy;
m.m31 *= sz;
m.m32 *= sz;
m.m33 *= sz;
m.m34 *= sz;
});
checkDOMMatrix(result, expected);
},"test scale() without offsets");
test(function() {
var result = initialDOMMatrix().scale(2, 5, 3, 11, 7, 13);
var expected = initialDOMMatrix()
.translate(11, 7, 13)
.scale(2, 5, 3)
.translate(-11, -7, -13);
checkDOMMatrix(result, expected);
},"test scale() with offsets");
test(function() {
var result = new DOMMatrixReadOnly([1, 2, 3, 4, 5, 6])
.scale(1, 1, 1, 1, 1, 1);
var expected = new DOMMatrixReadOnly([1, 2, 0, 0, 3, 4, 0, 0, 0, 0, 1, 0, 5, 6, 0, 1]);
checkDOMMatrix(result, expected);
},"test scale() with identity scale and nonzero originZ");
test(function() {
var result = initialDOMMatrix().scaleNonUniform();
var expected = initialDOMMatrix()
.scale(1, 1, 1, 0, 0, 0);
checkDOMMatrix(result, expected);
},"test scaleNonUniform()");
test(function() {
var result = initialDOMMatrix().scaleNonUniform(6);
var expected = initialDOMMatrix()
.scale(6, 1, 1, 0, 0, 0);
checkDOMMatrix(result, expected);
},"test scaleNonUniform() with sx");
test(function() {
var result = initialDOMMatrix().scaleNonUniform(5, 7);
var expected = initialDOMMatrix()
.scale(5, 7, 1, 0, 0, 0);
checkDOMMatrix(result, expected);
},"test scaleNonUniform() with sx, sy");
test(function() {
var result = initialDOMMatrix().scale3d(7, 5, 2, 3);
var expected = initialDOMMatrix()
.translate(5, 2, 3)
.scale(7, 7, 7)
.translate(-5, -2, -3);
checkDOMMatrix(result, expected);
},"test scale3d()");
test(function() {
var result = initialDOMMatrix().rotate(-90);
var expected = initialDOMMatrix().multiply(getRotationMatrix(0, 0, 1, -90));
checkDOMMatrix(result, expected);
},"test rotate() 2d");
test(function() {
var result = initialDOMMatrix().rotate(180, 180, 90);
var expected = initialDOMMatrix().rotate(0,0,-90);
checkDOMMatrix(result, expected);
},"test rotate()");
test(function() {
var result = initialDOMMatrix().rotate(90, 90, 90);
var expected = initialDOMMatrix()
.rotate(0, 0, 90)
.rotate(0, 90, 0)
.rotate(90, 0, 0);
checkDOMMatrix(result, expected);
},"test rotate() order");
test(function() {
var result = initialDOMMatrix().rotateFromVector(1, 1);
var expected = initialDOMMatrix().rotate(45);
checkDOMMatrix(result, expected);
},"test rotateFromVector()");
test(function() {
var result = initialDOMMatrix().rotateFromVector(0, 1);
var expected = initialDOMMatrix().rotate(90);
checkDOMMatrix(result, expected);
},"test rotateFromVector() with x being zero");
test(function() {
var result = initialDOMMatrix().rotateFromVector(1, 0);
var expected = initialDOMMatrix()
checkDOMMatrix(result, expected);
},"test rotateFromVector() with y being zero");
test(function() {
var result = initialDOMMatrix().rotateFromVector(0, 0);
var expected = initialDOMMatrix()
checkDOMMatrix(result, expected);
},"test rotateFromVector() with two zeros");
test(function() {
var result = initialDOMMatrix().rotateAxisAngle(3, 3, 3, 120);
var expected = initialDOMMatrix().multiply(getRotationMatrix(3, 3, 3, 120));
checkDOMMatrix(result, expected);
},"test rotateAxisAngle() ");
test(function() {
var angleDeg = 75;
var result = initialDOMMatrix().skewX(angleDeg);
var tangent = Math.tan(angleDeg * Math.PI/180);
var skew = new DOMMatrix([
1, 0, 0, 0,
tangent, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1])
var expected = initialDOMMatrix().multiply(skew);
checkDOMMatrix(result, expected);
},"test skewX()");
test(function() {
var angleDeg = 18;
var result = initialDOMMatrix().skewY(angleDeg);
var tangent = Math.tan(angleDeg * Math.PI/180);
var skew = new DOMMatrix([
1, tangent, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1])
var expected = initialDOMMatrix().multiply(skew);
checkDOMMatrix(result, expected);
},"test skewY()");
test(function() {
var result = initialDOMMatrix().multiply(initialDOMMatrix().inverse());
checkDOMMatrix(result, identity());
},"test multiply with inverse is identity");
test(function() {
var result = initialDOMMatrix().flipX();
var expected = initialDOMMatrix().multiply(new DOMMatrix([-1, 0, 0, 1, 0, 0]));
checkDOMMatrix(result, expected);
},"test flipX()");
test(function() {
var result = initialDOMMatrix().flipY();
var expected = initialDOMMatrix().multiply(new DOMMatrix([1, 0, 0, -1, 0, 0]));
checkDOMMatrix(result, expected);
},"test flipY()");
test(function() {
var point = new DOMPointReadOnly(1, 2, 3, 4);
var matrix = new DOMMatrix([1, 2, 3, 4, 5, 6]);
var result = matrix.transformPoint(point);
var expected = getMatrixTransform(matrix, point);
checkDOMPoint(result, expected);
},"test transformPoint() - 2d matrix");
test(function() {
var point = new DOMPointReadOnly(1, 2, 3, 4);
var matrix = new DOMMatrix([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]);
var result = matrix.transformPoint(point);
var expected = getMatrixTransform(matrix, point);
checkDOMPoint(result, expected);
},"test transformPoint() - 3d matrix");
function checkDOMMatrix(m, exp) {
assert_approx_equals(m.m11, exp.m11, epsilon, "Expected value for m11 is " + exp.m11);
assert_approx_equals(m.m12, exp.m12, epsilon, "Expected value for m12 is " + exp.m12);
assert_approx_equals(m.m13, exp.m13, epsilon, "Expected value for m13 is " + exp.m13);
assert_approx_equals(m.m14, exp.m14, epsilon, "Expected value for m14 is " + exp.m14);
assert_approx_equals(m.m21, exp.m21, epsilon, "Expected value for m21 is " + exp.m21);
assert_approx_equals(m.m22, exp.m22, epsilon, "Expected value for m22 is " + exp.m22);
assert_approx_equals(m.m23, exp.m23, epsilon, "Expected value for m23 is " + exp.m23);
assert_approx_equals(m.m24, exp.m24, epsilon, "Expected value for m24 is " + exp.m24);
assert_approx_equals(m.m31, exp.m31, epsilon, "Expected value for m31 is " + exp.m31);
assert_approx_equals(m.m32, exp.m32, epsilon, "Expected value for m32 is " + exp.m32);
assert_approx_equals(m.m33, exp.m33, epsilon, "Expected value for m33 is " + exp.m33);
assert_approx_equals(m.m34, exp.m34, epsilon, "Expected value for m34 is " + exp.m34);
assert_approx_equals(m.m41, exp.m41, epsilon, "Expected value for m41 is " + exp.m41);
assert_approx_equals(m.m42, exp.m42, epsilon, "Expected value for m42 is " + exp.m42);
assert_approx_equals(m.m43, exp.m43, epsilon, "Expected value for m43 is " + exp.m43);
assert_approx_equals(m.m44, exp.m44, epsilon, "Expected value for m44 is " + exp.m44);
assert_equals(m.is2D, exp.is2D, "Expected value for is2D is " + exp.is2D);
}
function checkDOMPoint(p, exp) {
assert_equals(p.x, exp.x, "x is not matched");
assert_equals(p.y, exp.y, "y is not matched");
assert_equals(p.z, exp.z, "z is not matched");
assert_equals(p.w, exp.w, "w is not matched");
}
</script>
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