/*
 * 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} x
 * @param {number} y
 */
WebInspector.Geometry.Point = function(x, y) {
    this.x = x;
    this.y = y;
}

WebInspector.Geometry.Point.prototype = {
    /**
     * @param {!WebInspector.Geometry.Point} p
     * @return {number}
     */
    distanceTo: function(p)
    {
        return Math.sqrt(Math.pow(p.x - this.x, 2) + Math.pow(p.y - this.y, 2));
    },

    /**
     * @override
     * @return {string}
     */
    toString: function()
    {
        return Math.round(this.x * 100) / 100 + ", " + Math.round(this.y * 100) / 100;
    }
}

/**
 * @constructor
 * @param {!WebInspector.Geometry.Point} point1
 * @param {!WebInspector.Geometry.Point} point2
 */
WebInspector.Geometry.CubicBezier = function(point1, point2)
{
    this.controlPoints = [point1, point2];
}

WebInspector.Geometry.CubicBezier.KeywordValues = {
    "linear": "cubic-bezier(0, 0, 1, 1)",
    "ease": "cubic-bezier(0.25, 0.1, 0.25, 1)",
    "ease-in": "cubic-bezier(0.42, 0, 1, 1)",
    "ease-in-out": "cubic-bezier(0.42, 0, 0.58, 1)",
    "ease-out": "cubic-bezier(0, 0, 0.58, 1)"
}

/**
 * @param {string} text
 * @return {?WebInspector.Geometry.CubicBezier}
 */
WebInspector.Geometry.CubicBezier.parse = function(text)
{
    var keywordValues = WebInspector.Geometry.CubicBezier.KeywordValues;
    var value = text.toLowerCase().replace(/\s+/g, "");
    if (Object.keys(keywordValues).indexOf(value) !== -1)
        return WebInspector.Geometry.CubicBezier.parse(keywordValues[value]);
    var bezierRegex = /^cubic-bezier\(([^,]+),([^,]+),([^,]+),([^,]+)\)$/;
    var match = value.match(bezierRegex);
    if (match) {
        var control1 = new WebInspector.Geometry.Point(parseFloat(match[1]), parseFloat(match[2]));
        var control2 = new WebInspector.Geometry.Point(parseFloat(match[3]), parseFloat(match[4]));
        return new WebInspector.Geometry.CubicBezier(control1, control2);
    }
    return null;
}


WebInspector.Geometry.CubicBezier.prototype = {
    /**
     * @param {number} t
     * @return {!WebInspector.Geometry.Point}
     */
    evaluateAt: function(t)
    {
        /**
         * @param {number} v1
         * @param {number} v2
         * @param {number} t
         */
        function evaluate(v1, v2, t)
        {
            return 3 * (1 - t) * (1 - t) * t * v1 + 3 * (1 - t) * t * t * v2 + Math.pow(t, 3);
        }

        var x = evaluate(this.controlPoints[0].x, this.controlPoints[1].x, t);
        var y = evaluate(this.controlPoints[0].y, this.controlPoints[1].y, t);
        return new WebInspector.Geometry.Point(x, y);
    },

    /**
     * @return {string}
     */
    asCSSText: function()
    {
        var raw = "cubic-bezier(" + this.controlPoints.join(", ") + ")";
        var keywordValues = WebInspector.Geometry.CubicBezier.KeywordValues;
        for (var keyword in keywordValues) {
            if (raw === keywordValues[keyword])
                return keyword;
        }
        return raw;
    }
}

/**
 * @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.radiansToDegrees(alpha), WebInspector.Geometry.radiansToDegrees(beta), WebInspector.Geometry.radiansToDegrees(gamma));
}

WebInspector.Geometry.EulerAngles.prototype = {
    /**
     * @return {string}
     */
    toRotate3DString: function()
    {
        var gammaAxisY = -Math.sin(WebInspector.Geometry.degreesToRadians(this.beta));
        var gammaAxisZ = Math.cos(WebInspector.Geometry.degreesToRadians(this.beta));
        var axis = {
            alpha: [0, 1, 0],
            beta: [-1, 0, 0],
            gamma: [0, gammaAxisY, gammaAxisZ]
        };
        return "rotate3d(" + axis.alpha.join(",") + "," + this.alpha + "deg) "
            + "rotate3d(" + axis.beta.join(",") + "," + this.beta + "deg) "
            + "rotate3d(" + axis.gamma.join(",") + "," + this.gamma + "deg)";
    }
}

/**
 * @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.radiansToDegrees(Math.acos(cos));
}

/**
 * @param {number} deg
 * @return {number}
 */
WebInspector.Geometry.degreesToRadians = function(deg)
{
    return deg * Math.PI / 180;
}

/**
 * @param {number} rad
 * @return {number}
 */
WebInspector.Geometry.radiansToDegrees = function(rad)
{
    return rad * 180 / Math.PI;
}

/**
 * @param {!CSSMatrix} matrix
 * @param {!Array.<number>} points
 * @param {{minX: number, maxX: number, minY: number, maxY: number}=} aggregateBounds
 * @return {!{minX: number, maxX: number, minY: number, maxY: number}}
 */
WebInspector.Geometry.boundsForTransformedPoints = function(matrix, points, aggregateBounds)
{
    if (!aggregateBounds)
        aggregateBounds = {minX: Infinity, maxX: -Infinity, minY: Infinity, maxY: -Infinity};
    if (points.length % 3)
        console.assert("Invalid size of points array");
    for (var p = 0; p < points.length; p += 3) {
        var vector = new WebInspector.Geometry.Vector(points[p], points[p + 1], points[p + 2]);
        vector = WebInspector.Geometry.multiplyVectorByMatrixAndNormalize(vector, matrix);
        aggregateBounds.minX = Math.min(aggregateBounds.minX, vector.x);
        aggregateBounds.maxX = Math.max(aggregateBounds.maxX, vector.x);
        aggregateBounds.minY = Math.min(aggregateBounds.minY, vector.y);
        aggregateBounds.maxY = Math.max(aggregateBounds.maxY, vector.y);
    }
    return aggregateBounds;
}

/**
 * @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));
};


/**
 * @constructor
 * @param {number} left
 * @param {number} top
 * @param {number} right
 * @param {number} bottom
 */
function Insets(left, top, right, bottom)
{
    this.left = left;
    this.top = top;
    this.right = right;
    this.bottom = bottom;
}

Insets.prototype = {
    /**
     * @param {?Insets} insets
     * @return {boolean}
     */
    isEqual: function(insets)
    {
        return !!insets && this.left === insets.left && this.top === insets.top && this.right === insets.right && this.bottom === insets.bottom;
    }
}


/**
 * @constructor
 * @param {number} left
 * @param {number} top
 * @param {number} width
 * @param {number} height
 */
WebInspector.Rect = function(left, top, width, height)
{
    this.left = left;
    this.top = top;
    this.width = width;
    this.height = height;
}

WebInspector.Rect.prototype = {
    /**
     * @param {?WebInspector.Rect} rect
     * @return {boolean}
     */
    isEqual: function(rect)
    {
        return !!rect && this.left === rect.left && this.top === rect.top && this.width === rect.width && this.height === rect.height;
    },

    /**
     * @param {number} scale
     * @return {!WebInspector.Rect}
     */
    scale: function(scale)
    {
        return new WebInspector.Rect(this.left * scale, this.top * scale, this.width * scale, this.height * scale);
    },

    /**
     * @return {!Size}
     */
    size: function()
    {
        return new Size(this.width, this.height);
    }
}


/**
 * @constructor
 * @param {!Size=} minimum
 * @param {?Size=} preferred
 */
function Constraints(minimum, preferred)
{
    /**
     * @type {!Size}
     */
    this.minimum = minimum || new Size(0, 0);

    /**
     * @type {!Size}
     */
    this.preferred = preferred || this.minimum;

    if (this.minimum.width > this.preferred.width || this.minimum.height > this.preferred.height)
        throw new Error("Minimum size is greater than preferred.");
}

/**
 * @param {?Constraints} constraints
 * @return {boolean}
 */
Constraints.prototype.isEqual = function(constraints)
{
    return !!constraints && this.minimum.isEqual(constraints.minimum) && this.preferred.isEqual(constraints.preferred);
}

/**
 * @param {!Constraints|number} value
 * @return {!Constraints}
 */
Constraints.prototype.widthToMax = function(value)
{
    if (typeof value === "number")
        return new Constraints(this.minimum.widthToMax(value), this.preferred.widthToMax(value));
    return new Constraints(this.minimum.widthToMax(value.minimum), this.preferred.widthToMax(value.preferred));
}

/**
 * @param {!Constraints|number} value
 * @return {!Constraints}
 */
Constraints.prototype.addWidth = function(value)
{
    if (typeof value === "number")
        return new Constraints(this.minimum.addWidth(value), this.preferred.addWidth(value));
    return new Constraints(this.minimum.addWidth(value.minimum), this.preferred.addWidth(value.preferred));
}

/**
 * @param {!Constraints|number} value
 * @return {!Constraints}
 */
Constraints.prototype.heightToMax = function(value)
{
    if (typeof value === "number")
        return new Constraints(this.minimum.heightToMax(value), this.preferred.heightToMax(value));
    return new Constraints(this.minimum.heightToMax(value.minimum), this.preferred.heightToMax(value.preferred));
}

/**
 * @param {!Constraints|number} value
 * @return {!Constraints}
 */
Constraints.prototype.addHeight = function(value)
{
    if (typeof value === "number")
        return new Constraints(this.minimum.addHeight(value), this.preferred.addHeight(value));
    return new Constraints(this.minimum.addHeight(value.minimum), this.preferred.addHeight(value.preferred));
}
