1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
|
<!DOCTYPE html>
<html>
<head>
<title>Geometry Interfaces: Test DOMMatrix non-mutating methods</title>
<link href="mailto:peter.hall@algomi.com" 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>
</head>
<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>
</body>
</html>
|
