/**
 * (c) 2010-2017 Torstein Honsi
 *
 * License: www.highcharts.com/license
 */
'use strict';
import H from '../parts/Globals.js';
import '../parts/Utilities.js';
import '../parts/Color.js';
import '../parts/SvgRenderer.js';
var cos = Math.cos,
    PI = Math.PI,
    sin = Math.sin;


var animObject = H.animObject,
    charts = H.charts,
    color = H.color,
    defined = H.defined,
    deg2rad = H.deg2rad,
    each = H.each,
    extend = H.extend,
    inArray = H.inArray,
    map = H.map,
    merge = H.merge,
    perspective = H.perspective,
    pick = H.pick,
    SVGElement = H.SVGElement,
    SVGRenderer = H.SVGRenderer,
    wrap = H.wrap;
/*
    EXTENSION TO THE SVG-RENDERER TO ENABLE 3D SHAPES
*/
// HELPER METHODS //

var dFactor = (4 * (Math.sqrt(2) - 1) / 3) / (PI / 2);

/** Method to construct a curved path
  * Can 'wrap' around more then 180 degrees
  */
function curveTo(cx, cy, rx, ry, start, end, dx, dy) {
    var result = [],
        arcAngle = end - start;
    if ((end > start) && (end - start > Math.PI / 2 + 0.0001)) {
        result = result.concat(
            curveTo(cx, cy, rx, ry, start, start + (Math.PI / 2), dx, dy)
        );
        result = result.concat(
            curveTo(cx, cy, rx, ry, start + (Math.PI / 2), end, dx, dy)
        );
        return result;
    }
    if ((end < start) && (start - end > Math.PI / 2 + 0.0001)) {
        result = result.concat(
            curveTo(cx, cy, rx, ry, start, start - (Math.PI / 2), dx, dy)
        );
        result = result.concat(
            curveTo(cx, cy, rx, ry, start - (Math.PI / 2), end, dx, dy)
        );
        return result;
    }
    return [
        'C',
        cx + (rx * Math.cos(start)) -
            ((rx * dFactor * arcAngle) * Math.sin(start)) + dx,
        cy + (ry * Math.sin(start)) +
            ((ry * dFactor * arcAngle) * Math.cos(start)) + dy,
        cx + (rx * Math.cos(end)) +
            ((rx * dFactor * arcAngle) * Math.sin(end)) + dx,
        cy + (ry * Math.sin(end)) -
            ((ry * dFactor * arcAngle) * Math.cos(end)) + dy,

        cx + (rx * Math.cos(end)) + dx,
        cy + (ry * Math.sin(end)) + dy
    ];
}



SVGRenderer.prototype.toLinePath = function (points, closed) {
    var result = [];

    // Put "L x y" for each point
    each(points, function (point) {
        result.push('L', point.x, point.y);
    });

    if (points.length) {
        // Set the first element to M
        result[0] = 'M';

        // If it is a closed line, add Z
        if (closed) {
            result.push('Z');
        }
    }

    return result;
};

SVGRenderer.prototype.toLineSegments = function (points) {
    var result = [];

    var m = true;
    each(points, function (point) {
        result.push(m ? 'M' : 'L', point.x, point.y);
        m = !m;
    });

    return result;
};

/**
 * A 3-D Face is defined by it's 3D vertexes, and is only
 * visible if it's vertexes are counter-clockwise (Back-face culling).
 * It is used as a polyhedron Element
 */
SVGRenderer.prototype.face3d = function (args) {
    var renderer = this,
        ret = this.createElement('path');
    ret.vertexes = [];
    ret.insidePlotArea = false;
    ret.enabled = true;

    wrap(ret, 'attr', function (proceed, hash) {
        if (
            typeof hash === 'object' &&
            (
                defined(hash.enabled) ||
                defined(hash.vertexes) ||
                defined(hash.insidePlotArea)
            )
        ) {
            this.enabled = pick(hash.enabled, this.enabled);
            this.vertexes = pick(hash.vertexes, this.vertexes);
            this.insidePlotArea = pick(
                hash.insidePlotArea,
                this.insidePlotArea
            );
            delete hash.enabled;
            delete hash.vertexes;
            delete hash.insidePlotArea;

            var chart = charts[renderer.chartIndex],
                vertexes2d = perspective(
                    this.vertexes,
                    chart,
                    this.insidePlotArea
                ),
                path = renderer.toLinePath(vertexes2d, true),
                area = H.shapeArea(vertexes2d),
                visibility = (this.enabled && area > 0) ? 'visible' : 'hidden';

            hash.d = path;
            hash.visibility = visibility;
        }
        return proceed.apply(this, [].slice.call(arguments, 1));
    });

    wrap(ret, 'animate', function (proceed, params) {
        if (
            typeof params === 'object' &&
            (
                defined(params.enabled) ||
                defined(params.vertexes) ||
                defined(params.insidePlotArea)
            )
        ) {
            this.enabled = pick(params.enabled, this.enabled);
            this.vertexes = pick(params.vertexes, this.vertexes);
            this.insidePlotArea = pick(
                params.insidePlotArea,
                this.insidePlotArea
            );
            delete params.enabled;
            delete params.vertexes;
            delete params.insidePlotArea;

            var chart = charts[renderer.chartIndex],
                vertexes2d = perspective(
                    this.vertexes,
                    chart,
                    this.insidePlotArea
                ),
                path = renderer.toLinePath(vertexes2d, true),
                area = H.shapeArea(vertexes2d),
                visibility = (this.enabled && area > 0) ? 'visible' : 'hidden';

            params.d = path;
            this.attr('visibility', visibility);
        }

        return proceed.apply(this, [].slice.call(arguments, 1));
    });

    return ret.attr(args);
};

/**
 * A Polyhedron is a handy way of defining a group of 3-D faces. It's only
 * attribute is `faces`, an array of attributes of each one of it's Face3D
 * instances.
 */
SVGRenderer.prototype.polyhedron = function (args) {
    var renderer = this,
        result = this.g(),
        destroy = result.destroy;

    
    result.attr({
        'stroke-linejoin': 'round'
    });
    

    result.faces = [];


    // destroy all children
    result.destroy = function () {
        for (var i = 0; i < result.faces.length; i++) {
            result.faces[i].destroy();
        }
        return destroy.call(this);
    };

    wrap(
        result,
        'attr',
        function (proceed, hash, val, complete, continueAnimation) {
            if (typeof hash === 'object' && defined(hash.faces)) {
                while (result.faces.length > hash.faces.length) {
                    result.faces.pop().destroy();
                }
                while (result.faces.length < hash.faces.length) {
                    result.faces.push(renderer.face3d().add(result));
                }
                for (var i = 0; i < hash.faces.length; i++) {
                    result.faces[i].attr(
                        hash.faces[i],
                        null,
                        complete,
                        continueAnimation
                    );
                }
                delete hash.faces;
            }
            return proceed.apply(this, [].slice.call(arguments, 1));
        }

    );

    wrap(result, 'animate', function (proceed, params, duration, complete) {
        if (params && params.faces) {
            while (result.faces.length > params.faces.length) {
                result.faces.pop().destroy();
            }
            while (result.faces.length < params.faces.length) {
                result.faces.push(renderer.face3d().add(result));
            }
            for (var i = 0; i < params.faces.length; i++) {
                result.faces[i].animate(params.faces[i], duration, complete);
            }
            delete params.faces;
        }
        return proceed.apply(this, [].slice.call(arguments, 1));
    });

    return result.attr(args);
};

// CUBOIDS //
SVGRenderer.prototype.cuboid = function (shapeArgs) {

    var result = this.g(),
        destroy = result.destroy,
        paths = this.cuboidPath(shapeArgs);

    
    result.attr({
        'stroke-linejoin': 'round'
    });
    

    // Create the 3 sides. // Front, top and side are never overlapping in our
    // case so it is redundant to set zIndex of every element.
    result.front = this.path(paths[0]).attr({
        'class': 'highcharts-3d-front'
    }).add(result);
    result.top = this.path(paths[1]).attr({
        'class': 'highcharts-3d-top'
    }).add(result);
    result.side = this.path(paths[2]).attr({
        'class': 'highcharts-3d-side'
    }).add(result);

    // apply the fill everywhere, the top a bit brighter, the side a bit darker
    result.fillSetter = function (fill) {
        this.front.attr({
            fill: fill
        });
        this.top.attr({
            fill: color(fill).brighten(0.1).get()
        });
        this.side.attr({
            fill: color(fill).brighten(-0.1).get()
        });
        this.color = fill;

        // for animation getter (#6776)
        result.fill = fill;

        return this;
    };

    // apply opacaity everywhere
    result.opacitySetter = function (opacity) {
        this.front.attr({ opacity: opacity });
        this.top.attr({ opacity: opacity });
        this.side.attr({ opacity: opacity });
        return this;
    };

    result.attr = function (args, val, complete, continueAnimation) {

        // Resolve setting attributes by string name
        if (typeof args === 'string' && typeof val !== 'undefined') {
            var key = args;
            args = {};
            args[key] = val;
        }

        if (args.shapeArgs || defined(args.x)) {
            var shapeArgs = args.shapeArgs || args;
            var paths = this.renderer.cuboidPath(shapeArgs);
            this.front.attr({ d: paths[0] });
            this.top.attr({ d: paths[1] });
            this.side.attr({ d: paths[2] });
        } else {
            // getter returns value
            return SVGElement.prototype.attr.call(
                this, args, undefined, complete, continueAnimation
            );
        }

        return this;
    };

    result.animate = function (args, duration, complete) {
        if (defined(args.x) && defined(args.y)) {
            var paths = this.renderer.cuboidPath(args);
            this.front.animate({ d: paths[0] }, duration, complete);
            this.top.animate({ d: paths[1] }, duration, complete);
            this.side.animate({ d: paths[2] }, duration, complete);
            this.attr({
                zIndex: -paths[3] // #4774
            });
        } else if (args.opacity) {
            this.front.animate(args, duration, complete);
            this.top.animate(args, duration, complete);
            this.side.animate(args, duration, complete);
        } else {
            SVGElement.prototype.animate.call(this, args, duration, complete);
        }
        return this;
    };

    // destroy all children
    result.destroy = function () {
        this.front.destroy();
        this.top.destroy();
        this.side.destroy();

        return destroy.call(this);
    };

    // Apply the Z index to the cuboid group
    result.attr({ zIndex: -paths[3] });

    return result;
};

/**
 *    Generates a cuboid
 */
H.SVGRenderer.prototype.cuboidPath = function (shapeArgs) {
    var x = shapeArgs.x,
        y = shapeArgs.y,
        z = shapeArgs.z,
        h = shapeArgs.height,
        w = shapeArgs.width,
        d = shapeArgs.depth,
        chart = charts[this.chartIndex],
        front,
        back,
        top,
        bottom,
        left,
        right,
        shape,
        path1,
        path2,
        path3,
        isFront,
        isTop,
        isRight,
        options3d = chart.options.chart.options3d,
        alpha = options3d.alpha,
        // Priority for x axis is the biggest,
        // because of x direction has biggest influence on zIndex
        incrementX = 10000,
        // y axis has the smallest priority in case of our charts
        // (needs to be set because of stacking)
        incrementY = 10,
        incrementZ = 100,
        zIndex = 0;

    // The 8 corners of the cube
    var pArr = [{
        x: x,
        y: y,
        z: z
    }, {
        x: x + w,
        y: y,
        z: z
    }, {
        x: x + w,
        y: y + h,
        z: z
    }, {
        x: x,
        y: y + h,
        z: z
    }, {
        x: x,
        y: y + h,
        z: z + d
    }, {
        x: x + w,
        y: y + h,
        z: z + d
    }, {
        x: x + w,
        y: y,
        z: z + d
    }, {
        x: x,
        y: y,
        z: z + d
    }];

    // apply perspective
    pArr = perspective(pArr, chart, shapeArgs.insidePlotArea);

    // helper method to decide which side is visible
    function mapPath(i) {
        return pArr[i];
    }

    /*
     * First value - path with specific side
     * Second  value - added information about side for later calculations.
     * Possible second values are 0 for path1, 1 for path2 and -1 for no path
     * chosen.
     */
    var pickShape = function (path1, path2) {
        var ret = [
                [], -1
        ];
        path1 = map(path1, mapPath);
        path2 = map(path2, mapPath);
        if (H.shapeArea(path1) < 0) {
            ret = [path1, 0];
        } else if (H.shapeArea(path2) < 0) {
            ret = [path2, 1];
        }
        return ret;
    };

    // front or back
    front = [3, 2, 1, 0];
    back = [7, 6, 5, 4];
    shape = pickShape(front, back);
    path1 = shape[0];
    isFront = shape[1];


    // top or bottom
    top = [1, 6, 7, 0];
    bottom = [4, 5, 2, 3];
    shape = pickShape(top, bottom);
    path2 = shape[0];
    isTop = shape[1];

    // side
    right = [1, 2, 5, 6];
    left = [0, 7, 4, 3];
    shape = pickShape(right, left);
    path3 = shape[0];
    isRight = shape[1];

    /*
     * New block used for calculating zIndex. It is basing on X, Y and Z
     * position of specific columns. All zIndexes (for X, Y and Z values) are
     * added to the final zIndex, where every value has different priority. The
     * biggest priority is in X and Z directions, the lowest index is for
     * stacked columns (Y direction and the same X and Z positions). Big
     * differences between priorities is made because we need to ensure that
     * even for big changes in Y and Z parameters all columns will be drawn
     * correctly.
     */

    if (isRight === 1) {
        zIndex += incrementX * (1000 - x);
    } else if (!isRight) {
        zIndex += incrementX * x;
    }

    zIndex += incrementY * (
        !isTop ||
        // Numbers checked empirically
        (alpha >= 0 && alpha <= 180 || alpha < 360 && alpha > 357.5) ?
            chart.plotHeight - y : 10 + y
    );

    if (isFront === 1) {
        zIndex += incrementZ * (z);
    } else if (!isFront) {
        zIndex += incrementZ * (1000 - z);
    }

    zIndex = -Math.round(zIndex);

    return [
        this.toLinePath(path1, true),
        this.toLinePath(path2, true),
        this.toLinePath(path3, true),
        zIndex
    ]; // #4774
};

// SECTORS //
H.SVGRenderer.prototype.arc3d = function (attribs) {

    var wrapper = this.g(),
        renderer = wrapper.renderer,
        customAttribs = ['x', 'y', 'r', 'innerR', 'start', 'end'];

    /**
     * Get custom attributes. Don't mutate the original object and return an
     * object with only custom attr.
     */
    function suckOutCustom(params) {
        var hasCA = false,
            ca = {};

        params = merge(params); // Don't mutate the original object

        for (var key in params) {
            if (inArray(key, customAttribs) !== -1) {
                ca[key] = params[key];
                delete params[key];
                hasCA = true;
            }
        }
        return hasCA ? ca : false;
    }

    attribs = merge(attribs);

    attribs.alpha *= deg2rad;
    attribs.beta *= deg2rad;

    // Create the different sub sections of the shape
    wrapper.top = renderer.path();
    wrapper.side1 = renderer.path();
    wrapper.side2 = renderer.path();
    wrapper.inn = renderer.path();
    wrapper.out = renderer.path();

    /**
     * Add all faces
     */
    wrapper.onAdd = function () {
        var parent = wrapper.parentGroup,
            className = wrapper.attr('class');
        wrapper.top.add(wrapper);

        // These faces are added outside the wrapper group because the z index
        // relates to neighbour elements as well
        each(['out', 'inn', 'side1', 'side2'], function (face) {
            wrapper[face]
                .attr({
                    'class': className + ' highcharts-3d-side'
                })
                .add(parent);
        });
    };

    // Cascade to faces
    each(['addClass', 'removeClass'], function (fn) {
        wrapper[fn] = function () {
            var args = arguments;
            each(['top', 'out', 'inn', 'side1', 'side2'], function (face) {
                wrapper[face][fn].apply(wrapper[face], args);
            });
        };
    });

    /**
     * Compute the transformed paths and set them to the composite shapes
     */
    wrapper.setPaths = function (attribs) {

        var paths = wrapper.renderer.arc3dPath(attribs),
            zIndex = paths.zTop * 100;

        wrapper.attribs = attribs;

        wrapper.top.attr({ d: paths.top, zIndex: paths.zTop });
        wrapper.inn.attr({ d: paths.inn, zIndex: paths.zInn });
        wrapper.out.attr({ d: paths.out, zIndex: paths.zOut });
        wrapper.side1.attr({ d: paths.side1, zIndex: paths.zSide1 });
        wrapper.side2.attr({ d: paths.side2, zIndex: paths.zSide2 });


        // show all children
        wrapper.zIndex = zIndex;
        wrapper.attr({ zIndex: zIndex });

        // Set the radial gradient center the first time
        if (attribs.center) {
            wrapper.top.setRadialReference(attribs.center);
            delete attribs.center;
        }
    };
    wrapper.setPaths(attribs);

    // Apply the fill to the top and a darker shade to the sides
    wrapper.fillSetter = function (value) {
        var darker = color(value).brighten(-0.1).get();

        this.fill = value;

        this.side1.attr({ fill: darker });
        this.side2.attr({ fill: darker });
        this.inn.attr({ fill: darker });
        this.out.attr({ fill: darker });
        this.top.attr({ fill: value });
        return this;
    };

    // Apply the same value to all. These properties cascade down to the
    // children when set to the composite arc3d.
    each(
        ['opacity', 'translateX', 'translateY', 'visibility'],
        function (setter) {
            wrapper[setter + 'Setter'] = function (value, key) {
                wrapper[key] = value;
                each(['out', 'inn', 'side1', 'side2', 'top'], function (el) {
                    wrapper[el].attr(key, value);
                });
            };
        }
    );

    /**
     * Override attr to remove shape attributes and use those to set child paths
     */
    wrap(wrapper, 'attr', function (proceed, params) {
        var ca;
        if (typeof params === 'object') {
            ca = suckOutCustom(params);
            if (ca) {
                extend(wrapper.attribs, ca);
                wrapper.setPaths(wrapper.attribs);
            }
        }
        return proceed.apply(this, [].slice.call(arguments, 1));
    });

    /**
     * Override the animate function by sucking out custom parameters related to
     * the shapes directly, and update the shapes from the animation step.
     */
    wrap(wrapper, 'animate', function (proceed, params, animation, complete) {
        var ca,
            from = this.attribs,
            to,
            anim;

        // Attribute-line properties connected to 3D. These shouldn't have been
        // in the attribs collection in the first place.
        delete params.center;
        delete params.z;
        delete params.depth;
        delete params.alpha;
        delete params.beta;

        anim = animObject(pick(animation, this.renderer.globalAnimation));

        if (anim.duration) {
            ca = suckOutCustom(params);
            // Params need to have a property in order for the step to run
            // (#5765, #7437)
            params.dummy = wrapper.dummy++;

            if (ca) {
                to = ca;
                anim.step = function (a, fx) {
                    function interpolate(key) {
                        return from[key] +
                            (pick(to[key], from[key]) - from[key]) * fx.pos;
                    }

                    if (fx.prop === 'dummy') {
                        fx.elem.setPaths(merge(from, {
                            x: interpolate('x'),
                            y: interpolate('y'),
                            r: interpolate('r'),
                            innerR: interpolate('innerR'),
                            start: interpolate('start'),
                            end: interpolate('end')
                        }));
                    }
                };
            }
            animation = anim; // Only when duration (#5572)
        }
        return proceed.call(this, params, animation, complete);
    });
    wrapper.dummy = 0;

    // destroy all children
    wrapper.destroy = function () {
        this.top.destroy();
        this.out.destroy();
        this.inn.destroy();
        this.side1.destroy();
        this.side2.destroy();

        SVGElement.prototype.destroy.call(this);
    };
    // hide all children
    wrapper.hide = function () {
        this.top.hide();
        this.out.hide();
        this.inn.hide();
        this.side1.hide();
        this.side2.hide();
    };
    wrapper.show = function () {
        this.top.show();
        this.out.show();
        this.inn.show();
        this.side1.show();
        this.side2.show();
    };
    return wrapper;
};

/**
 * Generate the paths required to draw a 3D arc
 */
SVGRenderer.prototype.arc3dPath = function (shapeArgs) {
    var cx = shapeArgs.x, // x coordinate of the center
        cy = shapeArgs.y, // y coordinate of the center
        start = shapeArgs.start, // start angle
        end = shapeArgs.end - 0.00001, // end angle
        r = shapeArgs.r, // radius
        ir = shapeArgs.innerR, // inner radius
        d = shapeArgs.depth, // depth
        alpha = shapeArgs.alpha, // alpha rotation of the chart
        beta = shapeArgs.beta; // beta rotation of the chart

    // Derived Variables
    var cs = Math.cos(start),        // cosinus of the start angle
        ss = Math.sin(start),        // sinus of the start angle
        ce = Math.cos(end),            // cosinus of the end angle
        se = Math.sin(end),            // sinus of the end angle
        rx = r * Math.cos(beta),        // x-radius
        ry = r * Math.cos(alpha),    // y-radius
        irx = ir * Math.cos(beta),    // x-radius (inner)
        iry = ir * Math.cos(alpha),    // y-radius (inner)
        dx = d * Math.sin(beta),        // distance between top and bottom in x
        dy = d * Math.sin(alpha);    // distance between top and bottom in y

    // TOP
    var top = ['M', cx + (rx * cs), cy + (ry * ss)];
    top = top.concat(curveTo(cx, cy, rx, ry, start, end, 0, 0));
    top = top.concat([
        'L', cx + (irx * ce), cy + (iry * se)
    ]);
    top = top.concat(curveTo(cx, cy, irx, iry, end, start, 0, 0));
    top = top.concat(['Z']);
    // OUTSIDE
    var b = (beta > 0 ? Math.PI / 2 : 0),
        a = (alpha > 0 ? 0 : Math.PI / 2);

    var start2 = start > -b ? start : (end > -b ? -b : start),
        end2 = end < PI - a ? end : (start < PI - a ? PI - a : end),
        midEnd = 2 * PI - a;

    // When slice goes over bottom middle, need to add both, left and right
    // outer side. Additionally, when we cross right hand edge, create sharp
    // edge. Outer shape/wall:
    //
    //            -------
    //          /    ^    \
    //    4)   /   /   \   \  1)
    //        /   /     \   \
    //       /   /       \   \
    // (c)=> ====         ==== <=(d)
    //       \   \       /   /
    //        \   \<=(a)/   /
    //         \   \   /   / <=(b)
    //    3)    \    v    /  2)
    //            -------
    //
    // (a) - inner side
    // (b) - outer side
    // (c) - left edge (sharp)
    // (d) - right edge (sharp)
    // 1..n - rendering order for startAngle = 0, when set to e.g 90, order
    // changes clockwise (1->2, 2->3, n->1) and counterclockwise for negative
    // startAngle

    var out = ['M', cx + (rx * cos(start2)), cy + (ry * sin(start2))];
    out = out.concat(curveTo(cx, cy, rx, ry, start2, end2, 0, 0));

    // When shape is wide, it can cross both, (c) and (d) edges, when using
    // startAngle
    if (end > midEnd && start < midEnd) {
        // Go to outer side
        out = out.concat([
            'L', cx + (rx * cos(end2)) + dx, cy + (ry * sin(end2)) + dy
        ]);
        // Curve to the right edge of the slice (d)
        out = out.concat(curveTo(cx, cy, rx, ry, end2, midEnd, dx, dy));
        // Go to the inner side
        out = out.concat([
            'L', cx + (rx * cos(midEnd)), cy + (ry * sin(midEnd))
        ]);
        // Curve to the true end of the slice
        out = out.concat(curveTo(cx, cy, rx, ry, midEnd, end, 0, 0));
        // Go to the outer side
        out = out.concat([
            'L', cx + (rx * cos(end)) + dx, cy + (ry * sin(end)) + dy
        ]);
        // Go back to middle (d)
        out = out.concat(curveTo(cx, cy, rx, ry, end, midEnd, dx, dy));
        out = out.concat([
            'L', cx + (rx * cos(midEnd)), cy + (ry * sin(midEnd))
        ]);
        // Go back to the left edge
        out = out.concat(curveTo(cx, cy, rx, ry, midEnd, end2, 0, 0));

    // But shape can cross also only (c) edge:
    } else if (end > PI - a && start < PI - a) {
        // Go to outer side
        out = out.concat([
            'L',
            cx + (rx * Math.cos(end2)) + dx,
            cy + (ry * Math.sin(end2)) + dy
        ]);
        // Curve to the true end of the slice
        out = out.concat(curveTo(cx, cy, rx, ry, end2, end, dx, dy));
        // Go to the inner side
        out = out.concat([
            'L', cx + (rx * Math.cos(end)), cy + (ry * Math.sin(end))
        ]);
        // Go back to the artifical end2
        out = out.concat(curveTo(cx, cy, rx, ry, end, end2, 0, 0));
    }

    out = out.concat([
        'L', cx + (rx * Math.cos(end2)) + dx, cy + (ry * Math.sin(end2)) + dy
    ]);
    out = out.concat(curveTo(cx, cy, rx, ry, end2, start2, dx, dy));
    out = out.concat(['Z']);

    // INSIDE
    var inn = ['M', cx + (irx * cs), cy + (iry * ss)];
    inn = inn.concat(curveTo(cx, cy, irx, iry, start, end, 0, 0));
    inn = inn.concat([
        'L', cx + (irx * Math.cos(end)) + dx, cy + (iry * Math.sin(end)) + dy
    ]);
    inn = inn.concat(curveTo(cx, cy, irx, iry, end, start, dx, dy));
    inn = inn.concat(['Z']);

    // SIDES
    var side1 = [
        'M', cx + (rx * cs), cy + (ry * ss),
        'L', cx + (rx * cs) + dx, cy + (ry * ss) + dy,
        'L', cx + (irx * cs) + dx, cy + (iry * ss) + dy,
        'L', cx + (irx * cs), cy + (iry * ss),
        'Z'
    ];
    var side2 = [
        'M', cx + (rx * ce), cy + (ry * se),
        'L', cx + (rx * ce) + dx, cy + (ry * se) + dy,
        'L', cx + (irx * ce) + dx, cy + (iry * se) + dy,
        'L', cx + (irx * ce), cy + (iry * se),
        'Z'
    ];

    // correction for changed position of vanishing point caused by alpha and
    // beta rotations
    var angleCorr = Math.atan2(dy, -dx),
        angleEnd = Math.abs(end + angleCorr),
        angleStart = Math.abs(start + angleCorr),
        angleMid = Math.abs((start + end) / 2 + angleCorr);

    // set to 0-PI range
    function toZeroPIRange(angle) {
        angle = angle % (2 * Math.PI);
        if (angle > Math.PI) {
            angle = 2 * Math.PI - angle;
        }
        return angle;
    }
    angleEnd = toZeroPIRange(angleEnd);
    angleStart = toZeroPIRange(angleStart);
    angleMid = toZeroPIRange(angleMid);

    // *1e5 is to compensate pInt in zIndexSetter
    var incPrecision = 1e5,
        a1 = angleMid * incPrecision,
        a2 = angleStart * incPrecision,
        a3 = angleEnd * incPrecision;

    return {
        top: top,
        // max angle is PI, so this is always higher
        zTop: Math.PI * incPrecision + 1,
        out: out,
        zOut: Math.max(a1, a2, a3),
        inn: inn,
        zInn: Math.max(a1, a2, a3),
        side1: side1,
        zSide1: a3 * 0.99, // to keep below zOut and zInn in case of same values
        side2: side2,
        zSide2: a2 * 0.99
    };
};