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www.reboot.components.bower_components.web-animations-js.src.matrix-interpolation.js Maven / Gradle / Ivy
// Copyright 2014 Google Inc. All rights reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
(function(scope, testing) {
var composeMatrix = (function() {
function multiply(a, b) {
var result = [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]];
for (var i = 0; i < 4; i++) {
for (var j = 0; j < 4; j++) {
for (var k = 0; k < 4; k++) {
result[i][j] += b[i][k] * a[k][j];
}
}
}
return result;
}
function is2D(m) {
return (
m[0][2] == 0 &&
m[0][3] == 0 &&
m[1][2] == 0 &&
m[1][3] == 0 &&
m[2][0] == 0 &&
m[2][1] == 0 &&
m[2][2] == 1 &&
m[2][3] == 0 &&
m[3][2] == 0 &&
m[3][3] == 1);
}
function composeMatrix(translate, scale, skew, quat, perspective) {
var matrix = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]];
for (var i = 0; i < 4; i++) {
matrix[i][3] = perspective[i];
}
for (var i = 0; i < 3; i++) {
for (var j = 0; j < 3; j++) {
matrix[3][i] += translate[j] * matrix[j][i];
}
}
var x = quat[0], y = quat[1], z = quat[2], w = quat[3];
var rotMatrix = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]];
rotMatrix[0][0] = 1 - 2 * (y * y + z * z);
rotMatrix[0][1] = 2 * (x * y - z * w);
rotMatrix[0][2] = 2 * (x * z + y * w);
rotMatrix[1][0] = 2 * (x * y + z * w);
rotMatrix[1][1] = 1 - 2 * (x * x + z * z);
rotMatrix[1][2] = 2 * (y * z - x * w);
rotMatrix[2][0] = 2 * (x * z - y * w);
rotMatrix[2][1] = 2 * (y * z + x * w);
rotMatrix[2][2] = 1 - 2 * (x * x + y * y);
matrix = multiply(matrix, rotMatrix);
var temp = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]];
if (skew[2]) {
temp[2][1] = skew[2];
matrix = multiply(matrix, temp);
}
if (skew[1]) {
temp[2][1] = 0;
temp[2][0] = skew[0];
matrix = multiply(matrix, temp);
}
if (skew[0]) {
temp[2][0] = 0;
temp[1][0] = skew[0];
matrix = multiply(matrix, temp);
}
for (var i = 0; i < 3; i++) {
for (var j = 0; j < 3; j++) {
matrix[i][j] *= scale[i];
}
}
if (is2D(matrix)) {
return [matrix[0][0], matrix[0][1], matrix[1][0], matrix[1][1], matrix[3][0], matrix[3][1]];
}
return matrix[0].concat(matrix[1], matrix[2], matrix[3]);
}
return composeMatrix;
})();
function clamp(x, min, max) {
return Math.max(Math.min(x, max), min);
};
function quat(fromQ, toQ, f) {
var product = scope.dot(fromQ, toQ);
product = clamp(product, -1.0, 1.0);
var quat = [];
if (product === 1.0) {
quat = fromQ;
} else {
var theta = Math.acos(product);
var w = Math.sin(f * theta) * 1 / Math.sqrt(1 - product * product);
for (var i = 0; i < 4; i++) {
quat.push(fromQ[i] * (Math.cos(f * theta) - product * w) +
toQ[i] * w);
}
}
return quat;
}
scope.composeMatrix = composeMatrix;
scope.quat = quat;
})(webAnimations1, webAnimationsTesting);