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+/*
+ * Copyright (C) 2013 Google Inc. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ *
+ * * Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above
+ * copyright notice, this list of conditions and the following disclaimer
+ * in the documentation and/or other materials provided with the
+ * distribution.
+ * * Neither the name of Google Inc. nor the names of its
+ * contributors may be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+ * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+ * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+ * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+WebInspector.Geometry = {};
+
+/**
+ * @type {number}
+ */
+WebInspector.Geometry._Eps = 1e-5;
+
+/**
+ * @constructor
+ * @param {number} x
+ * @param {number} y
+ * @param {number} z
+ */
+WebInspector.Geometry.Vector = function(x, y, z)
+{
+ this.x = x;
+ this.y = y;
+ this.z = z;
+}
+
+WebInspector.Geometry.Vector.prototype = {
+ /**
+ * @return {number}
+ */
+ length: function()
+ {
+ return Math.sqrt(this.x * this.x + this.y * this.y + this.z * this.z);
+ },
+
+ normalize: function()
+ {
+ var length = this.length();
+ if (length <= WebInspector.Geometry._Eps)
+ return;
+
+ this.x /= length;
+ this.y /= length;
+ this.z /= length;
+ }
+}
+
+/**
+ * @constructor
+ * @param {number} alpha
+ * @param {number} beta
+ * @param {number} gamma
+ */
+WebInspector.Geometry.EulerAngles = function(alpha, beta, gamma)
+{
+ this.alpha = alpha;
+ this.beta = beta;
+ this.gamma = gamma;
+}
+
+/**
+ * @param {!CSSMatrix} rotationMatrix
+ * @return {!WebInspector.Geometry.EulerAngles}
+ */
+WebInspector.Geometry.EulerAngles.fromRotationMatrix = function(rotationMatrix)
+{
+ var beta = Math.atan2(rotationMatrix.m23, rotationMatrix.m33);
+ var gamma = Math.atan2(-rotationMatrix.m13, Math.sqrt(rotationMatrix.m11 * rotationMatrix.m11 + rotationMatrix.m12 * rotationMatrix.m12));
+ var alpha = Math.atan2(rotationMatrix.m12, rotationMatrix.m11);
+ return new WebInspector.Geometry.EulerAngles(WebInspector.Geometry.radToDeg(alpha), WebInspector.Geometry.radToDeg(beta), WebInspector.Geometry.radToDeg(gamma));
+}
+
+/**
+ * @param {!WebInspector.Geometry.Vector} u
+ * @param {!WebInspector.Geometry.Vector} v
+ * @return {number}
+ */
+WebInspector.Geometry.scalarProduct = function(u, v)
+{
+ return u.x * v.x + u.y * v.y + u.z * v.z;
+}
+
+/**
+ * @param {!WebInspector.Geometry.Vector} u
+ * @param {!WebInspector.Geometry.Vector} v
+ * @return {!WebInspector.Geometry.Vector}
+ */
+WebInspector.Geometry.crossProduct = function(u, v)
+{
+ var x = u.y * v.z - u.z * v.y;
+ var y = u.z * v.x - u.x * v.z;
+ var z = u.x * v.y - u.y * v.x;
+ return new WebInspector.Geometry.Vector(x, y, z);
+}
+
+/**
+ * @param {!WebInspector.Geometry.Vector} u
+ * @param {!WebInspector.Geometry.Vector} v
+ * @return {!WebInspector.Geometry.Vector}
+ */
+WebInspector.Geometry.subtract = function(u, v)
+{
+ var x = u.x - v.x;
+ var y = u.y - v.y;
+ var z = u.z - v.z;
+ return new WebInspector.Geometry.Vector(x, y, z);
+}
+
+/**
+ * @param {!WebInspector.Geometry.Vector} v
+ * @param {!CSSMatrix} m
+ * @return {!WebInspector.Geometry.Vector}
+ */
+WebInspector.Geometry.multiplyVectorByMatrixAndNormalize = function(v, m)
+{
+ var t = v.x * m.m14 + v.y * m.m24 + v.z * m.m34 + m.m44;
+ var x = (v.x * m.m11 + v.y * m.m21 + v.z * m.m31 + m.m41) / t;
+ var y = (v.x * m.m12 + v.y * m.m22 + v.z * m.m32 + m.m42) / t;
+ var z = (v.x * m.m13 + v.y * m.m23 + v.z * m.m33 + m.m43) / t;
+ return new WebInspector.Geometry.Vector(x, y, z);
+}
+
+/**
+ * @param {!WebInspector.Geometry.Vector} u
+ * @param {!WebInspector.Geometry.Vector} v
+ * @return {number}
+ */
+WebInspector.Geometry.calculateAngle = function(u, v)
+{
+ var uLength = u.length();
+ var vLength = v.length();
+ if (uLength <= WebInspector.Geometry._Eps || vLength <= WebInspector.Geometry._Eps)
+ return 0;
+ var cos = WebInspector.Geometry.scalarProduct(u, v) / uLength / vLength;
+ if (Math.abs(cos) > 1)
+ return 0;
+ return WebInspector.Geometry.radToDeg(Math.acos(cos));
+}
+
+/**
+ * @param {number} rad
+ * @return {number}
+ */
+WebInspector.Geometry.radToDeg = function(rad)
+{
+ return rad * 180 / Math.PI;
+}
+
+
+/**
+ * @constructor
+ * @param {number} width
+ * @param {number} height
+ */
+function Size(width, height)
+{
+ this.width = width;
+ this.height = height;
+}
+
+/**
+ * @param {?Size} size
+ * @return {boolean}
+ */
+Size.prototype.isEqual = function(size)
+{
+ return !!size && this.width === size.width && this.height === size.height;
+};
+
+/**
+ * @param {!Size|number} size
+ * @return {!Size}
+ */
+Size.prototype.widthToMax = function(size)
+{
+ return new Size(Math.max(this.width, (typeof size === "number" ? size : size.width)), this.height);
+};
+
+/**
+ * @param {!Size|number} size
+ * @return {!Size}
+ */
+Size.prototype.addWidth = function(size)
+{
+ return new Size(this.width + (typeof size === "number" ? size : size.width), this.height);
+};
+
+/**
+ * @param {!Size|number} size
+ * @return {!Size}
+ */
+Size.prototype.heightToMax = function(size)
+{
+ return new Size(this.width, Math.max(this.height, (typeof size === "number" ? size : size.height)));
+};
+
+/**
+ * @param {!Size|number} size
+ * @return {!Size}
+ */
+Size.prototype.addHeight = function(size)
+{
+ return new Size(this.width, this.height + (typeof size === "number" ? size : size.height));
+};