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); 131
