graphic.js

/*
* Licensed to the Apache Software Foundation (ASF) under one
* or more contributor license agreements.  See the NOTICE file
* distributed with this work for additional information
* regarding copyright ownership.  The ASF licenses this file
* to you 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.
*/

import * as zrUtil from 'zrender/src/core/util';
import * as pathTool from 'zrender/src/tool/path';
import * as colorTool from 'zrender/src/tool/color';
import * as matrix from 'zrender/src/core/matrix';
import * as vector from 'zrender/src/core/vector';
import Path from 'zrender/src/graphic/Path';
import Transformable from 'zrender/src/mixin/Transformable';
import ZImage from 'zrender/src/graphic/Image';
import Group from 'zrender/src/container/Group';
import Text from 'zrender/src/graphic/Text';
import Circle from 'zrender/src/graphic/shape/Circle';
import Sector from 'zrender/src/graphic/shape/Sector';
import Ring from 'zrender/src/graphic/shape/Ring';
import Polygon from 'zrender/src/graphic/shape/Polygon';
import Polyline from 'zrender/src/graphic/shape/Polyline';
import Rect from 'zrender/src/graphic/shape/Rect';
import Line from 'zrender/src/graphic/shape/Line';
import BezierCurve from 'zrender/src/graphic/shape/BezierCurve';
import Arc from 'zrender/src/graphic/shape/Arc';
import CompoundPath from 'zrender/src/graphic/CompoundPath';
import LinearGradient from 'zrender/src/graphic/LinearGradient';
import RadialGradient from 'zrender/src/graphic/RadialGradient';
import BoundingRect from 'zrender/src/core/BoundingRect';
import IncrementalDisplayable from 'zrender/src/graphic/IncrementalDisplayable';
import * as subPixelOptimizeUtil from 'zrender/src/graphic/helper/subPixelOptimize';


var mathMax = Math.max;
var mathMin = Math.min;

var EMPTY_OBJ = {};

export var Z2_EMPHASIS_LIFT = 1;

// key: label model property nane, value: style property name.
export var CACHED_LABEL_STYLE_PROPERTIES = {
    color: 'textFill',
    textBorderColor: 'textStroke',
    textBorderWidth: 'textStrokeWidth'
};

var EMPHASIS = 'emphasis';
var NORMAL = 'normal';

// Reserve 0 as default.
var _highlightNextDigit = 1;
var _highlightKeyMap = {};

var _customShapeMap = {};


/**
 * Extend shape with parameters
 */
export function extendShape(opts) {
    return Path.extend(opts);
}

/**
 * Extend path
 */
export function extendPath(pathData, opts) {
    return pathTool.extendFromString(pathData, opts);
}

/**
 * Register a user defined shape.
 * The shape class can be fetched by `getShapeClass`
 * This method will overwrite the registered shapes, including
 * the registered built-in shapes, if using the same `name`.
 * The shape can be used in `custom series` and
 * `graphic component` by declaring `{type: name}`.
 *
 * @param {string} name
 * @param {Object} ShapeClass Can be generated by `extendShape`.
 */
export function registerShape(name, ShapeClass) {
    _customShapeMap[name] = ShapeClass;
}

/**
 * Find shape class registered by `registerShape`. Usually used in
 * fetching user defined shape.
 *
 * [Caution]:
 * (1) This method **MUST NOT be used inside echarts !!!**, unless it is prepared
 * to use user registered shapes.
 * Because the built-in shape (see `getBuiltInShape`) will be registered by
 * `registerShape` by default. That enables users to get both built-in
 * shapes as well as the shapes belonging to themsleves. But users can overwrite
 * the built-in shapes by using names like 'circle', 'rect' via calling
 * `registerShape`. So the echarts inner featrues should not fetch shapes from here
 * in case that it is overwritten by users, except that some features, like
 * `custom series`, `graphic component`, do it deliberately.
 *
 * (2) In the features like `custom series`, `graphic component`, the user input
 * `{tpye: 'xxx'}` does not only specify shapes but also specify other graphic
 * elements like `'group'`, `'text'`, `'image'` or event `'path'`. Those names
 * are reserved names, that is, if some user register a shape named `'image'`,
 * the shape will not be used. If we intending to add some more reserved names
 * in feature, that might bring break changes (disable some existing user shape
 * names). But that case probably rearly happen. So we dont make more mechanism
 * to resolve this issue here.
 *
 * @param {string} name
 * @return {Object} The shape class. If not found, return nothing.
 */
export function getShapeClass(name) {
    if (_customShapeMap.hasOwnProperty(name)) {
        return _customShapeMap[name];
    }
}

/**
 * Create a path element from path data string
 * @param {string} pathData
 * @param {Object} opts
 * @param {module:zrender/core/BoundingRect} rect
 * @param {string} [layout=cover] 'center' or 'cover'
 */
export function makePath(pathData, opts, rect, layout) {
    var path = pathTool.createFromString(pathData, opts);
    if (rect) {
        if (layout === 'center') {
            rect = centerGraphic(rect, path.getBoundingRect());
        }
        resizePath(path, rect);
    }
    return path;
}

/**
 * Create a image element from image url
 * @param {string} imageUrl image url
 * @param {Object} opts options
 * @param {module:zrender/core/BoundingRect} rect constrain rect
 * @param {string} [layout=cover] 'center' or 'cover'
 */
export function makeImage(imageUrl, rect, layout) {
    var path = new ZImage({
        style: {
            image: imageUrl,
            x: rect.x,
            y: rect.y,
            width: rect.width,
            height: rect.height
        },
        onload: function (img) {
            if (layout === 'center') {
                var boundingRect = {
                    width: img.width,
                    height: img.height
                };
                path.setStyle(centerGraphic(rect, boundingRect));
            }
        }
    });
    return path;
}

/**
 * Get position of centered element in bounding box.
 *
 * @param  {Object} rect         element local bounding box
 * @param  {Object} boundingRect constraint bounding box
 * @return {Object} element position containing x, y, width, and height
 */
function centerGraphic(rect, boundingRect) {
    // Set rect to center, keep width / height ratio.
    var aspect = boundingRect.width / boundingRect.height;
    var width = rect.height * aspect;
    var height;
    if (width <= rect.width) {
        height = rect.height;
    }
    else {
        width = rect.width;
        height = width / aspect;
    }
    var cx = rect.x + rect.width / 2;
    var cy = rect.y + rect.height / 2;

    return {
        x: cx - width / 2,
        y: cy - height / 2,
        width: width,
        height: height
    };
}

export var mergePath = pathTool.mergePath;

/**
 * Resize a path to fit the rect
 * @param {module:zrender/graphic/Path} path
 * @param {Object} rect
 */
export function resizePath(path, rect) {
    if (!path.applyTransform) {
        return;
    }

    var pathRect = path.getBoundingRect();

    var m = pathRect.calculateTransform(rect);

    path.applyTransform(m);
}

/**
 * Sub pixel optimize line for canvas
 *
 * @param {Object} param
 * @param {Object} [param.shape]
 * @param {number} [param.shape.x1]
 * @param {number} [param.shape.y1]
 * @param {number} [param.shape.x2]
 * @param {number} [param.shape.y2]
 * @param {Object} [param.style]
 * @param {number} [param.style.lineWidth]
 * @return {Object} Modified param
 */
export function subPixelOptimizeLine(param) {
    subPixelOptimizeUtil.subPixelOptimizeLine(param.shape, param.shape, param.style);
    return param;
}

/**
 * Sub pixel optimize rect for canvas
 *
 * @param {Object} param
 * @param {Object} [param.shape]
 * @param {number} [param.shape.x]
 * @param {number} [param.shape.y]
 * @param {number} [param.shape.width]
 * @param {number} [param.shape.height]
 * @param {Object} [param.style]
 * @param {number} [param.style.lineWidth]
 * @return {Object} Modified param
 */
export function subPixelOptimizeRect(param) {
    subPixelOptimizeUtil.subPixelOptimizeRect(param.shape, param.shape, param.style);
    return param;
}

/**
 * Sub pixel optimize for canvas
 *
 * @param {number} position Coordinate, such as x, y
 * @param {number} lineWidth Should be nonnegative integer.
 * @param {boolean=} positiveOrNegative Default false (negative).
 * @return {number} Optimized position.
 */
export var subPixelOptimize = subPixelOptimizeUtil.subPixelOptimize;


function hasFillOrStroke(fillOrStroke) {
    return fillOrStroke != null && fillOrStroke !== 'none';
}

// Most lifted color are duplicated.
var liftedColorMap = zrUtil.createHashMap();
var liftedColorCount = 0;

function liftColor(color) {
    if (typeof color !== 'string') {
        return color;
    }
    var liftedColor = liftedColorMap.get(color);
    if (!liftedColor) {
        liftedColor = colorTool.lift(color, -0.1);
        if (liftedColorCount < 10000) {
            liftedColorMap.set(color, liftedColor);
            liftedColorCount++;
        }
    }
    return liftedColor;
}

function cacheElementStl(el) {
    if (!el.__hoverStlDirty) {
        return;
    }
    el.__hoverStlDirty = false;

    var hoverStyle = el.__hoverStl;
    if (!hoverStyle) {
        el.__cachedNormalStl = el.__cachedNormalZ2 = null;
        return;
    }

    var normalStyle = el.__cachedNormalStl = {};
    el.__cachedNormalZ2 = el.z2;
    var elStyle = el.style;

    for (var name in hoverStyle) {
        // See comment in `singleEnterEmphasis`.
        if (hoverStyle[name] != null) {
            normalStyle[name] = elStyle[name];
        }
    }

    // Always cache fill and stroke to normalStyle for lifting color.
    normalStyle.fill = elStyle.fill;
    normalStyle.stroke = elStyle.stroke;
}

function singleEnterEmphasis(el) {
    var hoverStl = el.__hoverStl;

    if (!hoverStl || el.__highlighted) {
        return;
    }

    var zr = el.__zr;

    var useHoverLayer = el.useHoverLayer && zr && zr.painter.type === 'canvas';
    el.__highlighted = useHoverLayer ? 'layer' : 'plain';

    if (el.isGroup || (!zr && el.useHoverLayer)) {
        return;
    }

    var elTarget = el;
    var targetStyle = el.style;

    if (useHoverLayer) {
        elTarget = zr.addHover(el);
        targetStyle = elTarget.style;
    }

    rollbackDefaultTextStyle(targetStyle);

    if (!useHoverLayer) {
        cacheElementStl(elTarget);
    }

    // styles can be:
    // {
    //    label: {
    //        show: false,
    //        position: 'outside',
    //        fontSize: 18
    //    },
    //    emphasis: {
    //        label: {
    //            show: true
    //        }
    //    }
    // },
    // where properties of `emphasis` may not appear in `normal`. We previously use
    // module:echarts/util/model#defaultEmphasis to merge `normal` to `emphasis`.
    // But consider rich text and setOption in merge mode, it is impossible to cover
    // all properties in merge. So we use merge mode when setting style here.
    // But we choose the merge strategy that only properties that is not `null/undefined`.
    // Because when making a textStyle (espacially rich text), it is not easy to distinguish
    // `hasOwnProperty` and `null/undefined` in code, so we trade them as the same for simplicity.
    // But this strategy brings a trouble that `null/undefined` can not be used to remove
    // style any more in `emphasis`. Users can both set properties directly on normal and
    // emphasis to avoid this issue, or we might support `'none'` for this case if required.
    targetStyle.extendFrom(hoverStl);

    setDefaultHoverFillStroke(targetStyle, hoverStl, 'fill');
    setDefaultHoverFillStroke(targetStyle, hoverStl, 'stroke');

    applyDefaultTextStyle(targetStyle);

    if (!useHoverLayer) {
        el.dirty(false);
        el.z2 += Z2_EMPHASIS_LIFT;
    }
}

function setDefaultHoverFillStroke(targetStyle, hoverStyle, prop) {
    if (!hasFillOrStroke(hoverStyle[prop]) && hasFillOrStroke(targetStyle[prop])) {
        targetStyle[prop] = liftColor(targetStyle[prop]);
    }
}

function singleEnterNormal(el) {
    var highlighted = el.__highlighted;

    if (!highlighted) {
        return;
    }

    el.__highlighted = false;

    if (el.isGroup) {
        return;
    }

    if (highlighted === 'layer') {
        el.__zr && el.__zr.removeHover(el);
    }
    else {
        var style = el.style;

        var normalStl = el.__cachedNormalStl;
        if (normalStl) {
            rollbackDefaultTextStyle(style);
            el.setStyle(normalStl);
            applyDefaultTextStyle(style);
        }
        // `__cachedNormalZ2` will not be reset if calling `setElementHoverStyle`
        // when `el` is on emphasis state. So here by comparing with 1, we try
        // hard to make the bug case rare.
        var normalZ2 = el.__cachedNormalZ2;
        if (normalZ2 != null && el.z2 - normalZ2 === Z2_EMPHASIS_LIFT) {
            el.z2 = normalZ2;
        }
    }
}

function traverseUpdate(el, updater, commonParam) {
    // If root is group, also enter updater for `highDownOnUpdate`.
    var fromState = NORMAL;
    var toState = NORMAL;
    var trigger;
    // See the rule of `highDownOnUpdate` on `graphic.setAsHighDownDispatcher`.
    el.__highlighted && (fromState = EMPHASIS, trigger = true);
    updater(el, commonParam);
    el.__highlighted && (toState = EMPHASIS, trigger = true);

    el.isGroup && el.traverse(function (child) {
        !child.isGroup && updater(child, commonParam);
    });

    trigger && el.__highDownOnUpdate && el.__highDownOnUpdate(fromState, toState);
}

/**
 * Set hover style (namely "emphasis style") of element, based on the current
 * style of the given `el`.
 * This method should be called after all of the normal styles have been adopted
 * to the `el`. See the reason on `setHoverStyle`.
 *
 * @param {module:zrender/Element} el Should not be `zrender/container/Group`.
 * @param {Object} [el.hoverStyle] Can be set on el or its descendants,
 *        e.g., `el.hoverStyle = ...; graphic.setHoverStyle(el); `.
 *        Often used when item group has a label element and it's hoverStyle is different.
 * @param {Object|boolean} [hoverStl] The specified hover style.
 *        If set as `false`, disable the hover style.
 *        Similarly, The `el.hoverStyle` can alse be set
 *        as `false` to disable the hover style.
 *        Otherwise, use the default hover style if not provided.
 */
export function setElementHoverStyle(el, hoverStl) {
    // For performance consideration, it might be better to make the "hover style" only the
    // difference properties from the "normal style", but not a entire copy of all styles.
    hoverStl = el.__hoverStl = hoverStl !== false && (el.hoverStyle || hoverStl || {});
    el.__hoverStlDirty = true;

    // FIXME
    // It is not completely right to save "normal"/"emphasis" flag on elements.
    // It probably should be saved on `data` of series. Consider the cases:
    // (1) A highlighted elements are moved out of the view port and re-enter
    // again by dataZoom.
    // (2) call `setOption` and replace elements totally when they are highlighted.
    if (el.__highlighted) {
        // Consider the case:
        // The styles of a highlighted `el` is being updated. The new "emphasis style"
        // should be adapted to the `el`. Notice here new "normal styles" should have
        // been set outside and the cached "normal style" is out of date.
        el.__cachedNormalStl = null;
        // Do not clear `__cachedNormalZ2` here, because setting `z2` is not a constraint
        // of this method. In most cases, `z2` is not set and hover style should be able
        // to rollback. Of course, that would bring bug, but only in a rare case, see
        // `doSingleLeaveHover` for details.
        singleEnterNormal(el);

        singleEnterEmphasis(el);
    }
}

function onElementMouseOver(e) {
    !shouldSilent(this, e)
        // "emphasis" event highlight has higher priority than mouse highlight.
        && !this.__highByOuter
        && traverseUpdate(this, singleEnterEmphasis);
}

function onElementMouseOut(e) {
    !shouldSilent(this, e)
        // "emphasis" event highlight has higher priority than mouse highlight.
        && !this.__highByOuter
        && traverseUpdate(this, singleEnterNormal);
}

function onElementEmphasisEvent(highlightDigit) {
    this.__highByOuter |= 1 << (highlightDigit || 0);
    traverseUpdate(this, singleEnterEmphasis);
}

function onElementNormalEvent(highlightDigit) {
    !(this.__highByOuter &= ~(1 << (highlightDigit || 0)))
        && traverseUpdate(this, singleEnterNormal);
}

function shouldSilent(el, e) {
    return el.__highDownSilentOnTouch && e.zrByTouch;
}

/**
 * Set hover style (namely "emphasis style") of element,
 * based on the current style of the given `el`.
 *
 * (1)
 * **CONSTRAINTS** for this method:
 * <A> This method MUST be called after all of the normal styles having been adopted
 * to the `el`.
 * <B> The input `hoverStyle` (that is, "emphasis style") MUST be the subset of the
 * "normal style" having been set to the el.
 * <C> `color` MUST be one of the "normal styles" (because color might be lifted as
 * a default hover style).
 *
 * The reason: this method treat the current style of the `el` as the "normal style"
 * and cache them when enter/update the "emphasis style". Consider the case: the `el`
 * is in "emphasis" state and `setOption`/`dispatchAction` trigger the style updating
 * logic, where the el should shift from the original emphasis style to the new
 * "emphasis style" and should be able to "downplay" back to the new "normal style".
 *
 * Indeed, it is error-prone to make a interface has so many constraints, but I have
 * not found a better solution yet to fit the backward compatibility, performance and
 * the current programming style.
 *
 * (2)
 * Call the method for a "root" element once. Do not call it for each descendants.
 * If the descendants elemenets of a group has itself hover style different from the
 * root group, we can simply mount the style on `el.hoverStyle` for them, but should
 * not call this method for them.
 *
 * (3) These input parameters can be set directly on `el`:
 *
 * @param {module:zrender/Element} el
 * @param {Object} [el.hoverStyle] See `graphic.setElementHoverStyle`.
 * @param {boolean} [el.highDownSilentOnTouch=false] See `graphic.setAsHighDownDispatcher`.
 * @param {Function} [el.highDownOnUpdate] See `graphic.setAsHighDownDispatcher`.
 * @param {Object|boolean} [hoverStyle] See `graphic.setElementHoverStyle`.
 */
export function setHoverStyle(el, hoverStyle) {
    setAsHighDownDispatcher(el, true);
    traverseUpdate(el, setElementHoverStyle, hoverStyle);
}

/**
 * @param {module:zrender/Element} el
 * @param {Function} [el.highDownOnUpdate] Called when state updated.
 *        Since `setHoverStyle` has the constraint that it must be called after
 *        all of the normal style updated, `highDownOnUpdate` is not needed to
 *        trigger if both `fromState` and `toState` is 'normal', and needed to
 *        trigger if both `fromState` and `toState` is 'emphasis', which enables
 *        to sync outside style settings to "emphasis" state.
 *        @this {string} This dispatcher `el`.
 *        @param {string} fromState Can be "normal" or "emphasis".
 *               `fromState` might equal to `toState`,
 *               for example, when this method is called when `el` is
 *               on "emphasis" state.
 *        @param {string} toState Can be "normal" or "emphasis".
 *
 *        FIXME
 *        CAUTION: Do not expose `highDownOnUpdate` outside echarts.
 *        Because it is not a complete solution. The update
 *        listener should not have been mount in element,
 *        and the normal/emphasis state should not have
 *        mantained on elements.
 *
 * @param {boolean} [el.highDownSilentOnTouch=false]
 *        In touch device, mouseover event will be trigger on touchstart event
 *        (see module:zrender/dom/HandlerProxy). By this mechanism, we can
 *        conveniently use hoverStyle when tap on touch screen without additional
 *        code for compatibility.
 *        But if the chart/component has select feature, which usually also use
 *        hoverStyle, there might be conflict between 'select-highlight' and
 *        'hover-highlight' especially when roam is enabled (see geo for example).
 *        In this case, `highDownSilentOnTouch` should be used to disable
 *        hover-highlight on touch device.
 * @param {boolean} [asDispatcher=true] If `false`, do not set as "highDownDispatcher".
 */
export function setAsHighDownDispatcher(el, asDispatcher) {
    var disable = asDispatcher === false;
    // Make `highDownSilentOnTouch` and `highDownOnUpdate` only work after
    // `setAsHighDownDispatcher` called. Avoid it is modified by user unexpectedly.
    el.__highDownSilentOnTouch = el.highDownSilentOnTouch;
    el.__highDownOnUpdate = el.highDownOnUpdate;

    // Simple optimize, since this method might be
    // called for each elements of a group in some cases.
    if (!disable || el.__highDownDispatcher) {
        var method = disable ? 'off' : 'on';

        // Duplicated function will be auto-ignored, see Eventful.js.
        el[method]('mouseover', onElementMouseOver)[method]('mouseout', onElementMouseOut);
        // Emphasis, normal can be triggered manually by API or other components like hover link.
        el[method]('emphasis', onElementEmphasisEvent)[method]('normal', onElementNormalEvent);
        // Also keep previous record.
        el.__highByOuter = el.__highByOuter || 0;

        el.__highDownDispatcher = !disable;
    }
}

/**
 * @param {module:zrender/src/Element} el
 * @return {boolean}
 */
export function isHighDownDispatcher(el) {
    return !!(el && el.__highDownDispatcher);
}

/**
 * Support hightlight/downplay record on each elements.
 * For the case: hover highlight/downplay (legend, visualMap, ...) and
 * user triggerred hightlight/downplay should not conflict.
 * Only all of the highlightDigit cleared, return to normal.
 * @param {string} highlightKey
 * @return {number} highlightDigit
 */
export function getHighlightDigit(highlightKey) {
    var highlightDigit = _highlightKeyMap[highlightKey];
    if (highlightDigit == null && _highlightNextDigit <= 32) {
        highlightDigit = _highlightKeyMap[highlightKey] = _highlightNextDigit++;
    }
    return highlightDigit;
}

/**
 * See more info in `setTextStyleCommon`.
 * @param {Object|module:zrender/graphic/Style} normalStyle
 * @param {Object} emphasisStyle
 * @param {module:echarts/model/Model} normalModel
 * @param {module:echarts/model/Model} emphasisModel
 * @param {Object} opt Check `opt` of `setTextStyleCommon` to find other props.
 * @param {string|Function} [opt.defaultText]
 * @param {module:echarts/model/Model} [opt.labelFetcher] Fetch text by
 *      `opt.labelFetcher.getFormattedLabel(opt.labelDataIndex, 'normal'/'emphasis', null, opt.labelDimIndex)`
 * @param {module:echarts/model/Model} [opt.labelDataIndex] Fetch text by
 *      `opt.textFetcher.getFormattedLabel(opt.labelDataIndex, 'normal'/'emphasis', null, opt.labelDimIndex)`
 * @param {module:echarts/model/Model} [opt.labelDimIndex] Fetch text by
 *      `opt.textFetcher.getFormattedLabel(opt.labelDataIndex, 'normal'/'emphasis', null, opt.labelDimIndex)`
 * @param {Object} [normalSpecified]
 * @param {Object} [emphasisSpecified]
 */
export function setLabelStyle(
    normalStyle, emphasisStyle,
    normalModel, emphasisModel,
    opt,
    normalSpecified, emphasisSpecified
) {
    opt = opt || EMPTY_OBJ;
    var labelFetcher = opt.labelFetcher;
    var labelDataIndex = opt.labelDataIndex;
    var labelDimIndex = opt.labelDimIndex;

    // This scenario, `label.normal.show = true; label.emphasis.show = false`,
    // is not supported util someone requests.

    var showNormal = normalModel.getShallow('show');
    var showEmphasis = emphasisModel.getShallow('show');

    // Consider performance, only fetch label when necessary.
    // If `normal.show` is `false` and `emphasis.show` is `true` and `emphasis.formatter` is not set,
    // label should be displayed, where text is fetched by `normal.formatter` or `opt.defaultText`.
    var baseText;
    if (showNormal || showEmphasis) {
        if (labelFetcher) {
            baseText = labelFetcher.getFormattedLabel(labelDataIndex, 'normal', null, labelDimIndex);
        }
        if (baseText == null) {
            baseText = zrUtil.isFunction(opt.defaultText) ? opt.defaultText(labelDataIndex, opt) : opt.defaultText;
        }
    }
    var normalStyleText = showNormal ? baseText : null;
    var emphasisStyleText = showEmphasis
        ? zrUtil.retrieve2(
            labelFetcher
                ? labelFetcher.getFormattedLabel(labelDataIndex, 'emphasis', null, labelDimIndex)
                : null,
            baseText
        )
        : null;

    // Optimize: If style.text is null, text will not be drawn.
    if (normalStyleText != null || emphasisStyleText != null) {
        // Always set `textStyle` even if `normalStyle.text` is null, because default
        // values have to be set on `normalStyle`.
        // If we set default values on `emphasisStyle`, consider case:
        // Firstly, `setOption(... label: {normal: {text: null}, emphasis: {show: true}} ...);`
        // Secondly, `setOption(... label: {noraml: {show: true, text: 'abc', color: 'red'} ...);`
        // Then the 'red' will not work on emphasis.
        setTextStyle(normalStyle, normalModel, normalSpecified, opt);
        setTextStyle(emphasisStyle, emphasisModel, emphasisSpecified, opt, true);
    }

    normalStyle.text = normalStyleText;
    emphasisStyle.text = emphasisStyleText;
}

/**
 * Modify label style manually.
 * Only works after `setLabelStyle` and `setElementHoverStyle` called.
 *
 * @param {module:zrender/src/Element} el
 * @param {Object} [normalStyleProps] optional
 * @param {Object} [emphasisStyleProps] optional
 */
export function modifyLabelStyle(el, normalStyleProps, emphasisStyleProps) {
    var elStyle = el.style;
    if (normalStyleProps) {
        rollbackDefaultTextStyle(elStyle);
        el.setStyle(normalStyleProps);
        applyDefaultTextStyle(elStyle);
    }
    elStyle = el.__hoverStl;
    if (emphasisStyleProps && elStyle) {
        rollbackDefaultTextStyle(elStyle);
        zrUtil.extend(elStyle, emphasisStyleProps);
        applyDefaultTextStyle(elStyle);
    }
}

/**
 * Set basic textStyle properties.
 * See more info in `setTextStyleCommon`.
 * @param {Object|module:zrender/graphic/Style} textStyle
 * @param {module:echarts/model/Model} model
 * @param {Object} [specifiedTextStyle] Can be overrided by settings in model.
 * @param {Object} [opt] See `opt` of `setTextStyleCommon`.
 * @param {boolean} [isEmphasis]
 */
export function setTextStyle(
    textStyle, textStyleModel, specifiedTextStyle, opt, isEmphasis
) {
    setTextStyleCommon(textStyle, textStyleModel, opt, isEmphasis);
    specifiedTextStyle && zrUtil.extend(textStyle, specifiedTextStyle);
    // textStyle.host && textStyle.host.dirty && textStyle.host.dirty(false);

    return textStyle;
}

/**
 * Set text option in the style.
 * See more info in `setTextStyleCommon`.
 * @deprecated
 * @param {Object} textStyle
 * @param {module:echarts/model/Model} labelModel
 * @param {string|boolean} defaultColor Default text color.
 *        If set as false, it will be processed as a emphasis style.
 */
export function setText(textStyle, labelModel, defaultColor) {
    var opt = {isRectText: true};
    var isEmphasis;

    if (defaultColor === false) {
        isEmphasis = true;
    }
    else {
        // Support setting color as 'auto' to get visual color.
        opt.autoColor = defaultColor;
    }
    setTextStyleCommon(textStyle, labelModel, opt, isEmphasis);
    // textStyle.host && textStyle.host.dirty && textStyle.host.dirty(false);
}

/**
 * The uniform entry of set text style, that is, retrieve style definitions
 * from `model` and set to `textStyle` object.
 *
 * Never in merge mode, but in overwrite mode, that is, all of the text style
 * properties will be set. (Consider the states of normal and emphasis and
 * default value can be adopted, merge would make the logic too complicated
 * to manage.)
 *
 * The `textStyle` object can either be a plain object or an instance of
 * `zrender/src/graphic/Style`, and either be the style of normal or emphasis.
 * After this mothod called, the `textStyle` object can then be used in
 * `el.setStyle(textStyle)` or `el.hoverStyle = textStyle`.
 *
 * Default value will be adopted and `insideRollbackOpt` will be created.
 * See `applyDefaultTextStyle` `rollbackDefaultTextStyle` for more details.
 *
 * opt: {
 *      disableBox: boolean, Whether diable drawing box of block (outer most).
 *      isRectText: boolean,
 *      autoColor: string, specify a color when color is 'auto',
 *              for textFill, textStroke, textBackgroundColor, and textBorderColor.
 *              If autoColor specified, it is used as default textFill.
 *      useInsideStyle:
 *              `true`: Use inside style (textFill, textStroke, textStrokeWidth)
 *                  if `textFill` is not specified.
 *              `false`: Do not use inside style.
 *              `null/undefined`: use inside style if `isRectText` is true and
 *                  `textFill` is not specified and textPosition contains `'inside'`.
 *      forceRich: boolean
 * }
 */
function setTextStyleCommon(textStyle, textStyleModel, opt, isEmphasis) {
    // Consider there will be abnormal when merge hover style to normal style if given default value.
    opt = opt || EMPTY_OBJ;

    if (opt.isRectText) {
        var textPosition;
        if (opt.getTextPosition) {
            textPosition = opt.getTextPosition(textStyleModel, isEmphasis);
        }
        else {
            textPosition = textStyleModel.getShallow('position')
                || (isEmphasis ? null : 'inside');
            // 'outside' is not a valid zr textPostion value, but used
            // in bar series, and magric type should be considered.
            textPosition === 'outside' && (textPosition = 'top');
        }

        textStyle.textPosition = textPosition;
        textStyle.textOffset = textStyleModel.getShallow('offset');
        var labelRotate = textStyleModel.getShallow('rotate');
        labelRotate != null && (labelRotate *= Math.PI / 180);
        textStyle.textRotation = labelRotate;
        textStyle.textDistance = zrUtil.retrieve2(
            textStyleModel.getShallow('distance'), isEmphasis ? null : 5
        );
    }

    var ecModel = textStyleModel.ecModel;
    var globalTextStyle = ecModel && ecModel.option.textStyle;

    // Consider case:
    // {
    //     data: [{
    //         value: 12,
    //         label: {
    //             rich: {
    //                 // no 'a' here but using parent 'a'.
    //             }
    //         }
    //     }],
    //     rich: {
    //         a: { ... }
    //     }
    // }
    var richItemNames = getRichItemNames(textStyleModel);
    var richResult;
    if (richItemNames) {
        richResult = {};
        for (var name in richItemNames) {
            if (richItemNames.hasOwnProperty(name)) {
                // Cascade is supported in rich.
                var richTextStyle = textStyleModel.getModel(['rich', name]);
                // In rich, never `disableBox`.
                // FIXME: consider `label: {formatter: '{a|xx}', color: 'blue', rich: {a: {}}}`,
                // the default color `'blue'` will not be adopted if no color declared in `rich`.
                // That might confuses users. So probably we should put `textStyleModel` as the
                // root ancestor of the `richTextStyle`. But that would be a break change.
                setTokenTextStyle(richResult[name] = {}, richTextStyle, globalTextStyle, opt, isEmphasis);
            }
        }
    }
    textStyle.rich = richResult;

    setTokenTextStyle(textStyle, textStyleModel, globalTextStyle, opt, isEmphasis, true);

    if (opt.forceRich && !opt.textStyle) {
        opt.textStyle = {};
    }

    return textStyle;
}

// Consider case:
// {
//     data: [{
//         value: 12,
//         label: {
//             rich: {
//                 // no 'a' here but using parent 'a'.
//             }
//         }
//     }],
//     rich: {
//         a: { ... }
//     }
// }
function getRichItemNames(textStyleModel) {
    // Use object to remove duplicated names.
    var richItemNameMap;
    while (textStyleModel && textStyleModel !== textStyleModel.ecModel) {
        var rich = (textStyleModel.option || EMPTY_OBJ).rich;
        if (rich) {
            richItemNameMap = richItemNameMap || {};
            for (var name in rich) {
                if (rich.hasOwnProperty(name)) {
                    richItemNameMap[name] = 1;
                }
            }
        }
        textStyleModel = textStyleModel.parentModel;
    }
    return richItemNameMap;
}

function setTokenTextStyle(textStyle, textStyleModel, globalTextStyle, opt, isEmphasis, isBlock) {
    // In merge mode, default value should not be given.
    globalTextStyle = !isEmphasis && globalTextStyle || EMPTY_OBJ;

    textStyle.textFill = getAutoColor(textStyleModel.getShallow('color'), opt)
        || globalTextStyle.color;
    textStyle.textStroke = getAutoColor(textStyleModel.getShallow('textBorderColor'), opt)
        || globalTextStyle.textBorderColor;
    textStyle.textStrokeWidth = zrUtil.retrieve2(
        textStyleModel.getShallow('textBorderWidth'),
        globalTextStyle.textBorderWidth
    );

    if (!isEmphasis) {
        if (isBlock) {
            textStyle.insideRollbackOpt = opt;
            applyDefaultTextStyle(textStyle);
        }

        // Set default finally.
        if (textStyle.textFill == null) {
            textStyle.textFill = opt.autoColor;
        }
    }

    // Do not use `getFont` here, because merge should be supported, where
    // part of these properties may be changed in emphasis style, and the
    // others should remain their original value got from normal style.
    textStyle.fontStyle = textStyleModel.getShallow('fontStyle') || globalTextStyle.fontStyle;
    textStyle.fontWeight = textStyleModel.getShallow('fontWeight') || globalTextStyle.fontWeight;
    textStyle.fontSize = textStyleModel.getShallow('fontSize') || globalTextStyle.fontSize;
    textStyle.fontFamily = textStyleModel.getShallow('fontFamily') || globalTextStyle.fontFamily;

    textStyle.textAlign = textStyleModel.getShallow('align');
    textStyle.textVerticalAlign = textStyleModel.getShallow('verticalAlign')
        || textStyleModel.getShallow('baseline');

    textStyle.textLineHeight = textStyleModel.getShallow('lineHeight');
    textStyle.textWidth = textStyleModel.getShallow('width');
    textStyle.textHeight = textStyleModel.getShallow('height');
    textStyle.textTag = textStyleModel.getShallow('tag');

    if (!isBlock || !opt.disableBox) {
        textStyle.textBackgroundColor = getAutoColor(textStyleModel.getShallow('backgroundColor'), opt);
        textStyle.textPadding = textStyleModel.getShallow('padding');
        textStyle.textBorderColor = getAutoColor(textStyleModel.getShallow('borderColor'), opt);
        textStyle.textBorderWidth = textStyleModel.getShallow('borderWidth');
        textStyle.textBorderRadius = textStyleModel.getShallow('borderRadius');

        textStyle.textBoxShadowColor = textStyleModel.getShallow('shadowColor');
        textStyle.textBoxShadowBlur = textStyleModel.getShallow('shadowBlur');
        textStyle.textBoxShadowOffsetX = textStyleModel.getShallow('shadowOffsetX');
        textStyle.textBoxShadowOffsetY = textStyleModel.getShallow('shadowOffsetY');
    }

    textStyle.textShadowColor = textStyleModel.getShallow('textShadowColor')
        || globalTextStyle.textShadowColor;
    textStyle.textShadowBlur = textStyleModel.getShallow('textShadowBlur')
        || globalTextStyle.textShadowBlur;
    textStyle.textShadowOffsetX = textStyleModel.getShallow('textShadowOffsetX')
        || globalTextStyle.textShadowOffsetX;
    textStyle.textShadowOffsetY = textStyleModel.getShallow('textShadowOffsetY')
        || globalTextStyle.textShadowOffsetY;
}

function getAutoColor(color, opt) {
    return color !== 'auto' ? color : (opt && opt.autoColor) ? opt.autoColor : null;
}

/**
 * Give some default value to the input `textStyle` object, based on the current settings
 * in this `textStyle` object.
 *
 * The Scenario:
 * when text position is `inside` and `textFill` is not specified, we show
 * text border by default for better view. But it should be considered that text position
 * might be changed when hovering or being emphasis, where the `insideRollback` is used to
 * restore the style.
 *
 * Usage (& NOTICE):
 * When a style object (eithor plain object or instance of `zrender/src/graphic/Style`) is
 * about to be modified on its text related properties, `rollbackDefaultTextStyle` should
 * be called before the modification and `applyDefaultTextStyle` should be called after that.
 * (For the case that all of the text related properties is reset, like `setTextStyleCommon`
 * does, `rollbackDefaultTextStyle` is not needed to be called).
 */
function applyDefaultTextStyle(textStyle) {
    var textPosition = textStyle.textPosition;
    var opt = textStyle.insideRollbackOpt;
    var insideRollback;

    if (opt && textStyle.textFill == null) {
        var autoColor = opt.autoColor;
        var isRectText = opt.isRectText;
        var useInsideStyle = opt.useInsideStyle;

        var useInsideStyleCache = useInsideStyle !== false
            && (useInsideStyle === true
                || (isRectText
                    && textPosition
                    // textPosition can be [10, 30]
                    && typeof textPosition === 'string'
                    && textPosition.indexOf('inside') >= 0
                )
            );
        var useAutoColorCache = !useInsideStyleCache && autoColor != null;

        // All of the props declared in `CACHED_LABEL_STYLE_PROPERTIES` are to be cached.
        if (useInsideStyleCache || useAutoColorCache) {
            insideRollback = {
                textFill: textStyle.textFill,
                textStroke: textStyle.textStroke,
                textStrokeWidth: textStyle.textStrokeWidth
            };
        }
        if (useInsideStyleCache) {
            textStyle.textFill = '#fff';
            // Consider text with #fff overflow its container.
            if (textStyle.textStroke == null) {
                textStyle.textStroke = autoColor;
                textStyle.textStrokeWidth == null && (textStyle.textStrokeWidth = 2);
            }
        }
        if (useAutoColorCache) {
            textStyle.textFill = autoColor;
        }
    }

    // Always set `insideRollback`, so that the previous one can be cleared.
    textStyle.insideRollback = insideRollback;
}

/**
 * Consider the case: in a scatter,
 * label: {
 *     normal: {position: 'inside'},
 *     emphasis: {position: 'top'}
 * }
 * In the normal state, the `textFill` will be set as '#fff' for pretty view (see
 * `applyDefaultTextStyle`), but when switching to emphasis state, the `textFill`
 * should be retured to 'autoColor', but not keep '#fff'.
 */
function rollbackDefaultTextStyle(style) {
    var insideRollback = style.insideRollback;
    if (insideRollback) {
        // Reset all of the props in `CACHED_LABEL_STYLE_PROPERTIES`.
        style.textFill = insideRollback.textFill;
        style.textStroke = insideRollback.textStroke;
        style.textStrokeWidth = insideRollback.textStrokeWidth;
        style.insideRollback = null;
    }
}

export function getFont(opt, ecModel) {
    var gTextStyleModel = ecModel && ecModel.getModel('textStyle');
    return zrUtil.trim([
        // FIXME in node-canvas fontWeight is before fontStyle
        opt.fontStyle || gTextStyleModel && gTextStyleModel.getShallow('fontStyle') || '',
        opt.fontWeight || gTextStyleModel && gTextStyleModel.getShallow('fontWeight') || '',
        (opt.fontSize || gTextStyleModel && gTextStyleModel.getShallow('fontSize') || 12) + 'px',
        opt.fontFamily || gTextStyleModel && gTextStyleModel.getShallow('fontFamily') || 'sans-serif'
    ].join(' '));
}

function animateOrSetProps(isUpdate, el, props, animatableModel, dataIndex, cb) {
    if (typeof dataIndex === 'function') {
        cb = dataIndex;
        dataIndex = null;
    }
    // Do not check 'animation' property directly here. Consider this case:
    // animation model is an `itemModel`, whose does not have `isAnimationEnabled`
    // but its parent model (`seriesModel`) does.
    var animationEnabled = animatableModel && animatableModel.isAnimationEnabled();

    if (animationEnabled) {
        var postfix = isUpdate ? 'Update' : '';
        var duration = animatableModel.getShallow('animationDuration' + postfix);
        var animationEasing = animatableModel.getShallow('animationEasing' + postfix);
        var animationDelay = animatableModel.getShallow('animationDelay' + postfix);
        if (typeof animationDelay === 'function') {
            animationDelay = animationDelay(
                dataIndex,
                animatableModel.getAnimationDelayParams
                    ? animatableModel.getAnimationDelayParams(el, dataIndex)
                    : null
            );
        }
        if (typeof duration === 'function') {
            duration = duration(dataIndex);
        }

        duration > 0
            ? el.animateTo(props, duration, animationDelay || 0, animationEasing, cb, !!cb)
            : (el.stopAnimation(), el.attr(props), cb && cb());
    }
    else {
        el.stopAnimation();
        el.attr(props);
        cb && cb();
    }
}

/**
 * Update graphic element properties with or without animation according to the
 * configuration in series.
 *
 * Caution: this method will stop previous animation.
 * So if do not use this method to one element twice before
 * animation starts, unless you know what you are doing.
 *
 * @param {module:zrender/Element} el
 * @param {Object} props
 * @param {module:echarts/model/Model} [animatableModel]
 * @param {number} [dataIndex]
 * @param {Function} [cb]
 * @example
 *     graphic.updateProps(el, {
 *         position: [100, 100]
 *     }, seriesModel, dataIndex, function () { console.log('Animation done!'); });
 *     // Or
 *     graphic.updateProps(el, {
 *         position: [100, 100]
 *     }, seriesModel, function () { console.log('Animation done!'); });
 */
export function updateProps(el, props, animatableModel, dataIndex, cb) {
    animateOrSetProps(true, el, props, animatableModel, dataIndex, cb);
}

/**
 * Init graphic element properties with or without animation according to the
 * configuration in series.
 *
 * Caution: this method will stop previous animation.
 * So if do not use this method to one element twice before
 * animation starts, unless you know what you are doing.
 *
 * @param {module:zrender/Element} el
 * @param {Object} props
 * @param {module:echarts/model/Model} [animatableModel]
 * @param {number} [dataIndex]
 * @param {Function} cb
 */
export function initProps(el, props, animatableModel, dataIndex, cb) {
    animateOrSetProps(false, el, props, animatableModel, dataIndex, cb);
}

/**
 * Get transform matrix of target (param target),
 * in coordinate of its ancestor (param ancestor)
 *
 * @param {module:zrender/mixin/Transformable} target
 * @param {module:zrender/mixin/Transformable} [ancestor]
 */
export function getTransform(target, ancestor) {
    var mat = matrix.identity([]);

    while (target && target !== ancestor) {
        matrix.mul(mat, target.getLocalTransform(), mat);
        target = target.parent;
    }

    return mat;
}

/**
 * Apply transform to an vertex.
 * @param {Array.<number>} target [x, y]
 * @param {Array.<number>|TypedArray.<number>|Object} transform Can be:
 *      + Transform matrix: like [1, 0, 0, 1, 0, 0]
 *      + {position, rotation, scale}, the same as `zrender/Transformable`.
 * @param {boolean=} invert Whether use invert matrix.
 * @return {Array.<number>} [x, y]
 */
export function applyTransform(target, transform, invert) {
    if (transform && !zrUtil.isArrayLike(transform)) {
        transform = Transformable.getLocalTransform(transform);
    }

    if (invert) {
        transform = matrix.invert([], transform);
    }
    return vector.applyTransform([], target, transform);
}

/**
 * @param {string} direction 'left' 'right' 'top' 'bottom'
 * @param {Array.<number>} transform Transform matrix: like [1, 0, 0, 1, 0, 0]
 * @param {boolean=} invert Whether use invert matrix.
 * @return {string} Transformed direction. 'left' 'right' 'top' 'bottom'
 */
export function transformDirection(direction, transform, invert) {

    // Pick a base, ensure that transform result will not be (0, 0).
    var hBase = (transform[4] === 0 || transform[5] === 0 || transform[0] === 0)
        ? 1 : Math.abs(2 * transform[4] / transform[0]);
    var vBase = (transform[4] === 0 || transform[5] === 0 || transform[2] === 0)
        ? 1 : Math.abs(2 * transform[4] / transform[2]);

    var vertex = [
        direction === 'left' ? -hBase : direction === 'right' ? hBase : 0,
        direction === 'top' ? -vBase : direction === 'bottom' ? vBase : 0
    ];

    vertex = applyTransform(vertex, transform, invert);

    return Math.abs(vertex[0]) > Math.abs(vertex[1])
        ? (vertex[0] > 0 ? 'right' : 'left')
        : (vertex[1] > 0 ? 'bottom' : 'top');
}

/**
 * Apply group transition animation from g1 to g2.
 * If no animatableModel, no animation.
 */
export function groupTransition(g1, g2, animatableModel, cb) {
    if (!g1 || !g2) {
        return;
    }

    function getElMap(g) {
        var elMap = {};
        g.traverse(function (el) {
            if (!el.isGroup && el.anid) {
                elMap[el.anid] = el;
            }
        });
        return elMap;
    }
    function getAnimatableProps(el) {
        var obj = {
            position: vector.clone(el.position),
            rotation: el.rotation
        };
        if (el.shape) {
            obj.shape = zrUtil.extend({}, el.shape);
        }
        return obj;
    }
    var elMap1 = getElMap(g1);

    g2.traverse(function (el) {
        if (!el.isGroup && el.anid) {
            var oldEl = elMap1[el.anid];
            if (oldEl) {
                var newProp = getAnimatableProps(el);
                el.attr(getAnimatableProps(oldEl));
                updateProps(el, newProp, animatableModel, el.dataIndex);
            }
            // else {
            //     if (el.previousProps) {
            //         graphic.updateProps
            //     }
            // }
        }
    });
}

/**
 * @param {Array.<Array.<number>>} points Like: [[23, 44], [53, 66], ...]
 * @param {Object} rect {x, y, width, height}
 * @return {Array.<Array.<number>>} A new clipped points.
 */
export function clipPointsByRect(points, rect) {
    // FIXME: this way migth be incorrect when grpahic clipped by a corner.
    // and when element have border.
    return zrUtil.map(points, function (point) {
        var x = point[0];
        x = mathMax(x, rect.x);
        x = mathMin(x, rect.x + rect.width);
        var y = point[1];
        y = mathMax(y, rect.y);
        y = mathMin(y, rect.y + rect.height);
        return [x, y];
    });
}

/**
 * @param {Object} targetRect {x, y, width, height}
 * @param {Object} rect {x, y, width, height}
 * @return {Object} A new clipped rect. If rect size are negative, return undefined.
 */
export function clipRectByRect(targetRect, rect) {
    var x = mathMax(targetRect.x, rect.x);
    var x2 = mathMin(targetRect.x + targetRect.width, rect.x + rect.width);
    var y = mathMax(targetRect.y, rect.y);
    var y2 = mathMin(targetRect.y + targetRect.height, rect.y + rect.height);

    // If the total rect is cliped, nothing, including the border,
    // should be painted. So return undefined.
    if (x2 >= x && y2 >= y) {
        return {
            x: x,
            y: y,
            width: x2 - x,
            height: y2 - y
        };
    }
}

/**
 * @param {string} iconStr Support 'image://' or 'path://' or direct svg path.
 * @param {Object} [opt] Properties of `module:zrender/Element`, except `style`.
 * @param {Object} [rect] {x, y, width, height}
 * @return {module:zrender/Element} Icon path or image element.
 */
export function createIcon(iconStr, opt, rect) {
    opt = zrUtil.extend({rectHover: true}, opt);
    var style = opt.style = {strokeNoScale: true};
    rect = rect || {x: -1, y: -1, width: 2, height: 2};

    if (iconStr) {
        return iconStr.indexOf('image://') === 0
            ? (
                style.image = iconStr.slice(8),
                zrUtil.defaults(style, rect),
                new ZImage(opt)
            )
            : (
                makePath(
                    iconStr.replace('path://', ''),
                    opt,
                    rect,
                    'center'
                )
            );
    }
}

/**
 * Return `true` if the given line (line `a`) and the given polygon
 * are intersect.
 * Note that we do not count colinear as intersect here because no
 * requirement for that. We could do that if required in future.
 *
 * @param {number} a1x
 * @param {number} a1y
 * @param {number} a2x
 * @param {number} a2y
 * @param {Array.<Array.<number>>} points Points of the polygon.
 * @return {boolean}
 */
export function linePolygonIntersect(a1x, a1y, a2x, a2y, points) {
    for (var i = 0, p2 = points[points.length - 1]; i < points.length; i++) {
        var p = points[i];
        if (lineLineIntersect(a1x, a1y, a2x, a2y, p[0], p[1], p2[0], p2[1])) {
            return true;
        }
        p2 = p;
    }
}

/**
 * Return `true` if the given two lines (line `a` and line `b`)
 * are intersect.
 * Note that we do not count colinear as intersect here because no
 * requirement for that. We could do that if required in future.
 *
 * @param {number} a1x
 * @param {number} a1y
 * @param {number} a2x
 * @param {number} a2y
 * @param {number} b1x
 * @param {number} b1y
 * @param {number} b2x
 * @param {number} b2y
 * @return {boolean}
 */
export function lineLineIntersect(a1x, a1y, a2x, a2y, b1x, b1y, b2x, b2y) {
    // let `vec_m` to be `vec_a2 - vec_a1` and `vec_n` to be `vec_b2 - vec_b1`.
    var mx = a2x - a1x;
    var my = a2y - a1y;
    var nx = b2x - b1x;
    var ny = b2y - b1y;

    // `vec_m` and `vec_n` are parallel iff
    //     exising `k` such that `vec_m = k · vec_n`, equivalent to `vec_m X vec_n = 0`.
    var nmCrossProduct = crossProduct2d(nx, ny, mx, my);
    if (nearZero(nmCrossProduct)) {
        return false;
    }

    // `vec_m` and `vec_n` are intersect iff
    //     existing `p` and `q` in [0, 1] such that `vec_a1 + p * vec_m = vec_b1 + q * vec_n`,
    //     such that `q = ((vec_a1 - vec_b1) X vec_m) / (vec_n X vec_m)`
    //           and `p = ((vec_a1 - vec_b1) X vec_n) / (vec_n X vec_m)`.
    var b1a1x = a1x - b1x;
    var b1a1y = a1y - b1y;
    var q = crossProduct2d(b1a1x, b1a1y, mx, my) / nmCrossProduct;
    if (q < 0 || q > 1) {
        return false;
    }
    var p = crossProduct2d(b1a1x, b1a1y, nx, ny) / nmCrossProduct;
    if (p < 0 || p > 1) {
        return false;
    }

    return true;
}

/**
 * Cross product of 2-dimension vector.
 */
function crossProduct2d(x1, y1, x2, y2) {
    return x1 * y2 - x2 * y1;
}

function nearZero(val) {
    return val <= (1e-6) && val >= -(1e-6);
}

// Register built-in shapes. These shapes might be overwirtten
// by users, although we do not recommend that.
registerShape('circle', Circle);
registerShape('sector', Sector);
registerShape('ring', Ring);
registerShape('polygon', Polygon);
registerShape('polyline', Polyline);
registerShape('rect', Rect);
registerShape('line', Line);
registerShape('bezierCurve', BezierCurve);
registerShape('arc', Arc);

export {
    Group,
    ZImage as Image,
    Text,
    Circle,
    Sector,
    Ring,
    Polygon,
    Polyline,
    Rect,
    Line,
    BezierCurve,
    Arc,
    IncrementalDisplayable,
    CompoundPath,
    LinearGradient,
    RadialGradient,
    BoundingRect
};