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1 // Copyright 2014 Google Inc. All rights reserved. | |
2 // | |
3 // Licensed under the Apache License, Version 2.0 (the "License"); | |
4 // you may not use this file except in compliance with the License. | |
5 // You may obtain a copy of the License at | |
6 // | |
7 // http://www.apache.org/licenses/LICENSE-2.0 | |
8 // | |
9 // Unless required by applicable law or agreed to in writing, software | |
10 // distributed under the License is distributed on an "AS IS" BASIS, | |
11 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | |
12 // See the License for the specific language governing permissions and | |
13 // limitations under the License. | |
14 | |
15 (function(scope, testing) { | |
16 var composeMatrix = (function() { | |
17 function multiply(a, b) { | |
18 var result = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]; | |
19 for (var i = 0; i < 4; i++) { | |
20 for (var j = 0; j < 4; j++) { | |
21 for (var k = 0; k < 4; k++) { | |
22 result[i][j] += b[i][k] * a[k][j]; | |
23 } | |
24 } | |
25 } | |
26 return result; | |
27 } | |
28 | |
29 function is2D(m) { | |
30 return ( | |
31 m[0][2] == 0 && | |
32 m[0][3] == 0 && | |
33 m[1][2] == 0 && | |
34 m[1][3] == 0 && | |
35 m[2][0] == 0 && | |
36 m[2][1] == 0 && | |
37 m[2][2] == 1 && | |
38 m[2][3] == 0 && | |
39 m[3][2] == 0 && | |
40 m[3][3] == 1); | |
41 } | |
42 | |
43 function composeMatrix(translate, scale, skew, quat, perspective) { | |
44 var matrix = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]; | |
45 | |
46 for (var i = 0; i < 4; i++) { | |
47 matrix[i][3] = perspective[i]; | |
48 } | |
49 | |
50 for (var i = 0; i < 3; i++) { | |
51 for (var j = 0; j < 3; j++) { | |
52 matrix[3][i] += translate[j] * matrix[j][i]; | |
53 } | |
54 } | |
55 | |
56 var x = quat[0], y = quat[1], z = quat[2], w = quat[3]; | |
57 | |
58 var rotMatrix = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]; | |
59 | |
60 rotMatrix[0][0] = 1 - 2 * (y * y + z * z); | |
61 rotMatrix[0][1] = 2 * (x * y - z * w); | |
62 rotMatrix[0][2] = 2 * (x * z + y * w); | |
63 rotMatrix[1][0] = 2 * (x * y + z * w); | |
64 rotMatrix[1][1] = 1 - 2 * (x * x + z * z); | |
65 rotMatrix[1][2] = 2 * (y * z - x * w); | |
66 rotMatrix[2][0] = 2 * (x * z - y * w); | |
67 rotMatrix[2][1] = 2 * (y * z + x * w); | |
68 rotMatrix[2][2] = 1 - 2 * (x * x + y * y); | |
69 | |
70 matrix = multiply(matrix, rotMatrix); | |
71 | |
72 var temp = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]]; | |
73 if (skew[2]) { | |
74 temp[2][1] = skew[2]; | |
75 matrix = multiply(matrix, temp); | |
76 } | |
77 | |
78 if (skew[1]) { | |
79 temp[2][1] = 0; | |
80 temp[2][0] = skew[0]; | |
81 matrix = multiply(matrix, temp); | |
82 } | |
83 | |
84 if (skew[0]) { | |
85 temp[2][0] = 0; | |
86 temp[1][0] = skew[0]; | |
87 matrix = multiply(matrix, temp); | |
88 } | |
89 | |
90 for (var i = 0; i < 3; i++) { | |
91 for (var j = 0; j < 3; j++) { | |
92 matrix[i][j] *= scale[i]; | |
93 } | |
94 } | |
95 | |
96 if (is2D(matrix)) { | |
97 return [matrix[0][0], matrix[0][1], matrix[1][0], matrix[1][1], matrix[3
][0], matrix[3][1]]; | |
98 } | |
99 return matrix[0].concat(matrix[1], matrix[2], matrix[3]); | |
100 } | |
101 return composeMatrix; | |
102 })(); | |
103 | |
104 function clamp(x, min, max) { | |
105 return Math.max(Math.min(x, max), min); | |
106 }; | |
107 | |
108 function quat(fromQ, toQ, f) { | |
109 var product = scope.dot(fromQ, toQ); | |
110 product = clamp(product, -1.0, 1.0); | |
111 | |
112 var quat = []; | |
113 if (product === 1.0) { | |
114 quat = fromQ; | |
115 } else { | |
116 var theta = Math.acos(product); | |
117 var w = Math.sin(f * theta) * 1 / Math.sqrt(1 - product * product); | |
118 | |
119 for (var i = 0; i < 4; i++) { | |
120 quat.push(fromQ[i] * (Math.cos(f * theta) - product * w) + | |
121 toQ[i] * w); | |
122 } | |
123 } | |
124 return quat; | |
125 } | |
126 | |
127 scope.composeMatrix = composeMatrix; | |
128 scope.quat = quat; | |
129 | |
130 })(webAnimations1, webAnimationsTesting); | |
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